TSTP Solution File: GRP571-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GRP571-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n019.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 22:28:17 EDT 2022
% Result : Unsatisfiable 1.47s 1.16s
% Output : Proof 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 66
% Number of leaves : 111
% Syntax : Number of formulae : 681 ( 575 unt; 7 typ; 0 def)
% Number of atoms : 781 ( 776 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 197 ( 94 ~; 90 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 19 ( 3 avg)
% Number of FOOLs : 4 ( 4 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 3 >; 2 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 277 ( 270 !; 0 ?; 277 :)
% 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,
^ [B: $i,A: $i,C: $i] :
refl(
( ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
<=> ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B ) )),
inference(bind,[status(th)],]) ).
tff(12,plain,
( ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
<=> ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B ) ),
inference(quant_intro,[status(thm)],[11]) ).
tff(13,plain,
( ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
<=> ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B ) ),
inference(rewrite,[status(thm)],]) ).
tff(14,axiom,
! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
tff(15,plain,
! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B ),
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B ),
inference(skolemize,[status(sab)],[15]) ).
tff(17,plain,
! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B ),
inference(modus_ponens,[status(thm)],[16,12]) ).
tff(18,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),identity))),double_divide(identity,identity)) = double_divide(multiply(b3,c3),a3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(19,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),identity))),double_divide(identity,identity)) = double_divide(multiply(b3,c3),a3),
inference(unit_resolution,[status(thm)],[18,17]) ).
tff(20,plain,
^ [A: $i] :
refl(
( ( identity = double_divide(A,inverse(A)) )
<=> ( identity = double_divide(A,inverse(A)) ) )),
inference(bind,[status(th)],]) ).
tff(21,plain,
( ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
<=> ! [A: $i] : ( identity = double_divide(A,inverse(A)) ) ),
inference(quant_intro,[status(thm)],[20]) ).
tff(22,plain,
( ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
<=> ! [A: $i] : ( identity = double_divide(A,inverse(A)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(23,axiom,
! [A: $i] : ( identity = double_divide(A,inverse(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
tff(24,plain,
! [A: $i] : ( identity = double_divide(A,inverse(A)) ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
! [A: $i] : ( identity = double_divide(A,inverse(A)) ),
inference(skolemize,[status(sab)],[24]) ).
tff(26,plain,
! [A: $i] : ( identity = double_divide(A,inverse(A)) ),
inference(modus_ponens,[status(thm)],[25,21]) ).
tff(27,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(28,plain,
identity = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),
inference(unit_resolution,[status(thm)],[27,26]) ).
tff(29,plain,
double_divide(identity,identity) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity),
inference(monotonicity,[status(thm)],[28]) ).
tff(30,plain,
double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity) = double_divide(identity,identity),
inference(symmetry,[status(thm)],[29]) ).
tff(31,plain,
double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))) = identity,
inference(symmetry,[status(thm)],[28]) ).
tff(32,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(33,plain,
double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),
inference(unit_resolution,[status(thm)],[32,17]) ).
tff(34,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(35,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)],[34,26]) ).
tff(36,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)],[35]) ).
tff(37,plain,
^ [A: $i] :
refl(
( ( inverse(A) = double_divide(A,identity) )
<=> ( inverse(A) = double_divide(A,identity) ) )),
inference(bind,[status(th)],]) ).
tff(38,plain,
( ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
<=> ! [A: $i] : ( inverse(A) = double_divide(A,identity) ) ),
inference(quant_intro,[status(thm)],[37]) ).
tff(39,plain,
( ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
<=> ! [A: $i] : ( inverse(A) = double_divide(A,identity) ) ),
inference(rewrite,[status(thm)],]) ).
tff(40,axiom,
! [A: $i] : ( inverse(A) = double_divide(A,identity) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
tff(41,plain,
! [A: $i] : ( inverse(A) = double_divide(A,identity) ),
inference(modus_ponens,[status(thm)],[40,39]) ).
tff(42,plain,
! [A: $i] : ( inverse(A) = double_divide(A,identity) ),
inference(skolemize,[status(sab)],[41]) ).
tff(43,plain,
! [A: $i] : ( inverse(A) = double_divide(A,identity) ),
inference(modus_ponens,[status(thm)],[42,38]) ).
tff(44,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(45,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)],[44,43]) ).
tff(46,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)],[45]) ).
tff(47,plain,
( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
| ( identity = double_divide(double_divide(c3,b3),inverse(double_divide(c3,b3))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(48,plain,
identity = double_divide(double_divide(c3,b3),inverse(double_divide(c3,b3))),
inference(unit_resolution,[status(thm)],[47,26]) ).
tff(49,plain,
double_divide(double_divide(c3,b3),inverse(double_divide(c3,b3))) = identity,
inference(symmetry,[status(thm)],[48]) ).
tff(50,plain,
( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
| ( inverse(double_divide(c3,b3)) = double_divide(double_divide(c3,b3),identity) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(51,plain,
inverse(double_divide(c3,b3)) = double_divide(double_divide(c3,b3),identity),
inference(unit_resolution,[status(thm)],[50,43]) ).
tff(52,plain,
double_divide(double_divide(c3,b3),identity) = inverse(double_divide(c3,b3)),
inference(symmetry,[status(thm)],[51]) ).
tff(53,plain,
double_divide(double_divide(c3,b3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(c3,b3),identity),
inference(monotonicity,[status(thm)],[31]) ).
tff(54,plain,
double_divide(double_divide(c3,b3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = inverse(double_divide(c3,b3)),
inference(transitivity,[status(thm)],[53,52]) ).
tff(55,plain,
double_divide(double_divide(c3,b3),double_divide(double_divide(c3,b3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(c3,b3),inverse(double_divide(c3,b3))),
inference(monotonicity,[status(thm)],[54]) ).
tff(56,plain,
double_divide(double_divide(c3,b3),double_divide(double_divide(c3,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)],[55,49,28]) ).
tff(57,plain,
double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,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))),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)],[56,46]) ).
tff(58,plain,
double_divide(double_divide(c3,b3),inverse(double_divide(c3,b3))) = double_divide(double_divide(c3,b3),double_divide(double_divide(c3,b3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
inference(symmetry,[status(thm)],[55]) ).
tff(59,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(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity),
inference(monotonicity,[status(thm)],[31]) ).
tff(60,plain,
double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))) = double_divide(double_divide(c3,b3),double_divide(double_divide(c3,b3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
inference(transitivity,[status(thm)],[31,48,58]) ).
tff(61,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(c3,b3),double_divide(double_divide(c3,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))),identity)),
inference(monotonicity,[status(thm)],[60,59]) ).
tff(62,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(c3,b3),double_divide(double_divide(c3,b3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
inference(transitivity,[status(thm)],[61,57,36,48,58]) ).
tff(63,plain,
double_divide(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))),identity)) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,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))),identity)),
inference(monotonicity,[status(thm)],[62]) ).
tff(64,plain,
double_divide(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))),identity)) = identity,
inference(transitivity,[status(thm)],[63,57,36]) ).
tff(65,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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity),
inference(monotonicity,[status(thm)],[64]) ).
tff(66,plain,
double_divide(double_divide(double_divide(b3,a3),inverse(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(symmetry,[status(thm)],[65]) ).
tff(67,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(transitivity,[status(thm)],[59,30]) ).
tff(68,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(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),inverse(double_divide(b3,a3))),double_divide(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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[66,67]) ).
tff(69,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(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(c3,b3),double_divide(double_divide(c3,b3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
inference(transitivity,[status(thm)],[68,33,31,48,58]) ).
tff(70,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(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))),identity)) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,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))),identity)),
inference(monotonicity,[status(thm)],[69]) ).
tff(71,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(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))),identity)) = identity,
inference(transitivity,[status(thm)],[70,57,36]) ).
tff(72,plain,
double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(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))),identity))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity),
inference(monotonicity,[status(thm)],[71]) ).
tff(73,plain,
double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(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))),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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(transitivity,[status(thm)],[72,66]) ).
tff(74,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(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))),identity))),double_divide(identity,identity)) = double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[73]) ).
tff(75,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(76,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity),
inference(unit_resolution,[status(thm)],[75,17]) ).
tff(77,plain,
double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(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))),identity))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[76]) ).
tff(78,plain,
double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity) = identity,
inference(transitivity,[status(thm)],[77,74,33,31]) ).
tff(79,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(80,plain,
multiply(a3,b3) = double_divide(double_divide(b3,a3),identity),
inference(unit_resolution,[status(thm)],[79,7]) ).
tff(81,plain,
double_divide(double_divide(b3,a3),identity) = multiply(a3,b3),
inference(symmetry,[status(thm)],[80]) ).
tff(82,plain,
double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(b3,a3),identity),
inference(monotonicity,[status(thm)],[31]) ).
tff(83,plain,
double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = multiply(a3,b3),
inference(transitivity,[status(thm)],[82,81]) ).
tff(84,plain,
double_divide(c3,double_divide(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)],[83]) ).
tff(85,plain,
double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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)) = double_divide(double_divide(c3,multiply(a3,b3)),identity),
inference(monotonicity,[status(thm)],[84,78]) ).
tff(86,plain,
double_divide(double_divide(c3,multiply(a3,b3)),identity) = double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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(symmetry,[status(thm)],[85]) ).
tff(87,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)],[31]) ).
tff(88,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,double_divide(double_divide(b3,a3),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(transitivity,[status(thm)],[87,86]) ).
tff(89,plain,
double_divide(double_divide(b3,a3),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),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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(monotonicity,[status(thm)],[88]) ).
tff(90,plain,
double_divide(double_divide(double_divide(b3,a3),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))),identity)) = double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[89,30]) ).
tff(91,plain,
double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),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))),identity)),
inference(symmetry,[status(thm)],[90]) ).
tff(92,plain,
double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(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))),identity))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[74]) ).
tff(93,plain,
double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))) = double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[33]) ).
tff(94,plain,
double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))) = double_divide(identity,identity),
inference(transitivity,[status(thm)],[93,92,76,30]) ).
tff(95,plain,
double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[94]) ).
tff(96,plain,
double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(double_divide(b3,a3),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))),identity)),
inference(transitivity,[status(thm)],[95,91]) ).
tff(97,plain,
double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(b3,a3),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))),identity))),
inference(monotonicity,[status(thm)],[96]) ).
tff(98,plain,
double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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)) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(b3,a3),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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[97,30]) ).
tff(99,plain,
double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(b3,a3),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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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(symmetry,[status(thm)],[98]) ).
tff(100,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(b3,a3),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))),identity))),double_divide(identity,identity)) = double_divide(b3,a3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(101,plain,
double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(b3,a3),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))),identity))),double_divide(identity,identity)) = double_divide(b3,a3),
inference(unit_resolution,[status(thm)],[100,17]) ).
tff(102,plain,
double_divide(b3,a3) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(b3,a3),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))),identity))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[101]) ).
tff(103,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),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))),double_divide(identity,identity)) = double_divide(b3,a3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(104,plain,
double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),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))),double_divide(identity,identity)) = double_divide(b3,a3),
inference(unit_resolution,[status(thm)],[103,17]) ).
tff(105,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(106,plain,
inverse(double_divide(b3,a3)) = double_divide(double_divide(b3,a3),identity),
inference(unit_resolution,[status(thm)],[105,43]) ).
tff(107,plain,
double_divide(double_divide(b3,a3),identity) = inverse(double_divide(b3,a3)),
inference(symmetry,[status(thm)],[106]) ).
tff(108,plain,
double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = inverse(double_divide(b3,a3)),
inference(transitivity,[status(thm)],[82,107]) ).
tff(109,plain,
double_divide(double_divide(b3,a3),double_divide(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)],[108]) ).
tff(110,plain,
double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(c3,b3),double_divide(double_divide(c3,b3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
inference(transitivity,[status(thm)],[109,31,48,58]) ).
tff(111,plain,
double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),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)) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,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))),identity)),
inference(monotonicity,[status(thm)],[110]) ).
tff(112,plain,
double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),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)) = identity,
inference(transitivity,[status(thm)],[111,57,36]) ).
tff(113,plain,
double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),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))) = double_divide(double_divide(b3,a3),identity),
inference(monotonicity,[status(thm)],[112]) ).
tff(114,plain,
double_divide(double_divide(b3,a3),identity) = double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),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(symmetry,[status(thm)],[113]) ).
tff(115,plain,
double_divide(identity,identity) = identity,
inference(transitivity,[status(thm)],[29,77,74,33,31]) ).
tff(116,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(b3,a3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(117,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(b3,a3),
inference(unit_resolution,[status(thm)],[116,17]) ).
tff(118,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)],[59,77,74,33,31]) ).
tff(119,plain,
double_divide(double_divide(b3,a3),double_divide(double_divide(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),identity),
inference(monotonicity,[status(thm)],[118]) ).
tff(120,plain,
double_divide(double_divide(b3,a3),double_divide(double_divide(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),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),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(transitivity,[status(thm)],[119,114]) ).
tff(121,plain,
double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)) = double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),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))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[120,30]) ).
tff(122,plain,
double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(symmetry,[status(thm)],[121]) ).
tff(123,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),identity) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(124,plain,
double_divide(double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),identity),
inference(unit_resolution,[status(thm)],[123,17]) ).
tff(125,plain,
double_divide(double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_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(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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[67]) ).
tff(126,plain,
double_divide(double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(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),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),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(transitivity,[status(thm)],[125,124,114]) ).
tff(127,plain,
double_divide(double_divide(double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)) = double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),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))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[126,30]) ).
tff(128,plain,
double_divide(double_divide(double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)) = double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(transitivity,[status(thm)],[127,122]) ).
tff(129,plain,
double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(monotonicity,[status(thm)],[128]) ).
tff(130,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[129]) ).
tff(131,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(132,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)],[131,17]) ).
tff(133,plain,
double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[132]) ).
tff(134,plain,
double_divide(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),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),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))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[114,67]) ).
tff(135,plain,
double_divide(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(b3,a3),
inference(transitivity,[status(thm)],[134,104]) ).
tff(136,plain,
double_divide(double_divide(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))),identity)) = double_divide(double_divide(b3,a3),identity),
inference(monotonicity,[status(thm)],[135,78]) ).
tff(137,plain,
double_divide(double_divide(b3,a3),identity) = double_divide(double_divide(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))),identity)),
inference(symmetry,[status(thm)],[136]) ).
tff(138,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),double_divide(identity,identity)) = double_divide(b3,a3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(139,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),double_divide(identity,identity)) = double_divide(b3,a3),
inference(unit_resolution,[status(thm)],[138,17]) ).
tff(140,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_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(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[67]) ).
tff(141,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),double_divide(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,a3),
inference(transitivity,[status(thm)],[140,139]) ).
tff(142,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)) = double_divide(double_divide(b3,a3),identity),
inference(monotonicity,[status(thm)],[141,78]) ).
tff(143,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)) = double_divide(double_divide(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))),identity)),
inference(transitivity,[status(thm)],[142,137]) ).
tff(144,plain,
double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))) = double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(monotonicity,[status(thm)],[143]) ).
tff(145,plain,
double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))) = double_divide(b3,a3),
inference(transitivity,[status(thm)],[144,133,130,117]) ).
tff(146,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),identity),
inference(monotonicity,[status(thm)],[145,115]) ).
tff(147,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(148,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),
inference(unit_resolution,[status(thm)],[147,17]) ).
tff(149,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[148]) ).
tff(150,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(identity,identity)) = a3 ) ),
inference(quant_inst,[status(thm)],]) ).
tff(151,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(identity,identity)) = a3,
inference(unit_resolution,[status(thm)],[150,17]) ).
tff(152,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[94]) ).
tff(153,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = a3,
inference(transitivity,[status(thm)],[152,151]) ).
tff(154,plain,
double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(b3,a3),
inference(monotonicity,[status(thm)],[153]) ).
tff(155,plain,
double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity)) = double_divide(double_divide(b3,a3),identity),
inference(monotonicity,[status(thm)],[154,78]) ).
tff(156,plain,
double_divide(double_divide(b3,a3),identity) = double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity)),
inference(symmetry,[status(thm)],[155]) ).
tff(157,plain,
double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity)),
inference(transitivity,[status(thm)],[82,156]) ).
tff(158,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),
inference(monotonicity,[status(thm)],[157]) ).
tff(159,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,a3),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)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[158,30]) ).
tff(160,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,a3),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(symmetry,[status(thm)],[159]) ).
tff(161,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[94]) ).
tff(162,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,a3),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(transitivity,[status(thm)],[161,160]) ).
tff(163,plain,
double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,a3),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(monotonicity,[status(thm)],[162]) ).
tff(164,plain,
double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity)) = double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,a3),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))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[163,30]) ).
tff(165,plain,
double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,a3),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity)),
inference(symmetry,[status(thm)],[164]) ).
tff(166,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,a3),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(167,plain,
double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,a3),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),
inference(unit_resolution,[status(thm)],[166,17]) ).
tff(168,plain,
double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))) = double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,a3),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))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[167]) ).
tff(169,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(170,plain,
double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),
inference(unit_resolution,[status(thm)],[169,17]) ).
tff(171,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),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,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[67]) ).
tff(172,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),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)],[171,151]) ).
tff(173,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)) = double_divide(a3,identity),
inference(monotonicity,[status(thm)],[172,78]) ).
tff(174,plain,
double_divide(a3,identity) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(symmetry,[status(thm)],[173]) ).
tff(175,plain,
identity = double_divide(identity,identity),
inference(transitivity,[status(thm)],[28,93,92,76,30]) ).
tff(176,plain,
( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
| ( identity = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),inverse(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(177,plain,
identity = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),inverse(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))))),
inference(unit_resolution,[status(thm)],[176,26]) ).
tff(178,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),inverse(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))))) = identity,
inference(symmetry,[status(thm)],[177]) ).
tff(179,plain,
( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
| ( inverse(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity)))) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),identity) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(180,plain,
inverse(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity)))) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),identity),
inference(unit_resolution,[status(thm)],[179,43]) ).
tff(181,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),identity) = inverse(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity)))),
inference(symmetry,[status(thm)],[180]) ).
tff(182,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),identity) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[175]) ).
tff(183,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),identity),
inference(symmetry,[status(thm)],[182]) ).
tff(184,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = inverse(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity)))),
inference(transitivity,[status(thm)],[152,183,181]) ).
tff(185,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),inverse(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))))),
inference(monotonicity,[status(thm)],[184]) ).
tff(186,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,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)],[185,178,28]) ).
tff(187,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity),
inference(monotonicity,[status(thm)],[186,78]) ).
tff(188,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity)) = double_divide(identity,identity),
inference(transitivity,[status(thm)],[187,30]) ).
tff(189,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[188]) ).
tff(190,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),
inference(symmetry,[status(thm)],[189]) ).
tff(191,plain,
a3 = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[151]) ).
tff(192,plain,
a3 = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),
inference(transitivity,[status(thm)],[191,190]) ).
tff(193,plain,
double_divide(a3,identity) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[192,175]) ).
tff(194,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(identity,identity)) = double_divide(a3,identity),
inference(symmetry,[status(thm)],[193]) ).
tff(195,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(196,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),
inference(unit_resolution,[status(thm)],[195,17]) ).
tff(197,plain,
double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[196]) ).
tff(198,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(199,plain,
double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)],[198,17]) ).
tff(200,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(201,plain,
multiply(b3,c3) = double_divide(double_divide(c3,b3),identity),
inference(unit_resolution,[status(thm)],[200,7]) ).
tff(202,plain,
double_divide(double_divide(c3,b3),identity) = multiply(b3,c3),
inference(symmetry,[status(thm)],[201]) ).
tff(203,plain,
double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(multiply(b3,c3),a3),
inference(monotonicity,[status(thm)],[202,153]) ).
tff(204,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity)) = double_divide(double_divide(multiply(b3,c3),a3),identity),
inference(monotonicity,[status(thm)],[203,78]) ).
tff(205,plain,
double_divide(double_divide(multiply(b3,c3),a3),identity) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity)),
inference(symmetry,[status(thm)],[204]) ).
tff(206,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(207,plain,
double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),
inference(unit_resolution,[status(thm)],[206,17]) ).
tff(208,plain,
( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
| ( identity = double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),inverse(double_divide(double_divide(multiply(b3,c3),a3),identity))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(209,plain,
identity = double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),inverse(double_divide(double_divide(multiply(b3,c3),a3),identity))),
inference(unit_resolution,[status(thm)],[208,26]) ).
tff(210,plain,
double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),inverse(double_divide(double_divide(multiply(b3,c3),a3),identity))) = identity,
inference(symmetry,[status(thm)],[209]) ).
tff(211,plain,
( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
| ( inverse(double_divide(double_divide(multiply(b3,c3),a3),identity)) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(212,plain,
inverse(double_divide(double_divide(multiply(b3,c3),a3),identity)) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity),
inference(unit_resolution,[status(thm)],[211,43]) ).
tff(213,plain,
double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity) = inverse(double_divide(double_divide(multiply(b3,c3),a3),identity)),
inference(symmetry,[status(thm)],[212]) ).
tff(214,plain,
( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
| ( identity = double_divide(double_divide(multiply(b3,c3),a3),inverse(double_divide(multiply(b3,c3),a3))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(215,plain,
identity = double_divide(double_divide(multiply(b3,c3),a3),inverse(double_divide(multiply(b3,c3),a3))),
inference(unit_resolution,[status(thm)],[214,26]) ).
tff(216,plain,
double_divide(double_divide(multiply(b3,c3),a3),inverse(double_divide(multiply(b3,c3),a3))) = identity,
inference(symmetry,[status(thm)],[215]) ).
tff(217,plain,
( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
| ( inverse(double_divide(multiply(b3,c3),a3)) = double_divide(double_divide(multiply(b3,c3),a3),identity) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(218,plain,
inverse(double_divide(multiply(b3,c3),a3)) = double_divide(double_divide(multiply(b3,c3),a3),identity),
inference(unit_resolution,[status(thm)],[217,43]) ).
tff(219,plain,
double_divide(double_divide(multiply(b3,c3),a3),identity) = inverse(double_divide(multiply(b3,c3),a3)),
inference(symmetry,[status(thm)],[218]) ).
tff(220,plain,
double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(multiply(b3,c3),a3),identity),
inference(monotonicity,[status(thm)],[31]) ).
tff(221,plain,
double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = inverse(double_divide(multiply(b3,c3),a3)),
inference(transitivity,[status(thm)],[220,219]) ).
tff(222,plain,
double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(multiply(b3,c3),a3),inverse(double_divide(multiply(b3,c3),a3))),
inference(monotonicity,[status(thm)],[221]) ).
tff(223,plain,
double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(c3,b3),double_divide(double_divide(c3,b3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
inference(transitivity,[status(thm)],[222,216,48,58]) ).
tff(224,plain,
double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),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)) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,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))),identity)),
inference(monotonicity,[status(thm)],[223]) ).
tff(225,plain,
double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),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)) = identity,
inference(transitivity,[status(thm)],[224,57,36]) ).
tff(226,plain,
double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),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))) = double_divide(double_divide(multiply(b3,c3),a3),identity),
inference(monotonicity,[status(thm)],[225]) ).
tff(227,plain,
double_divide(double_divide(multiply(b3,c3),a3),identity) = double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),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(symmetry,[status(thm)],[226]) ).
tff(228,plain,
double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),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))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[227,175]) ).
tff(229,plain,
double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity),
inference(symmetry,[status(thm)],[228]) ).
tff(230,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),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))),double_divide(identity,identity)) = double_divide(multiply(b3,c3),a3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(231,plain,
double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),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))),double_divide(identity,identity)) = double_divide(multiply(b3,c3),a3),
inference(unit_resolution,[status(thm)],[230,17]) ).
tff(232,plain,
double_divide(multiply(b3,c3),a3) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),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))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[231]) ).
tff(233,plain,
double_divide(multiply(b3,c3),a3) = inverse(double_divide(double_divide(multiply(b3,c3),a3),identity)),
inference(transitivity,[status(thm)],[232,229,213]) ).
tff(234,plain,
double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(multiply(b3,c3),a3)) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),inverse(double_divide(double_divide(multiply(b3,c3),a3),identity))),
inference(monotonicity,[status(thm)],[233]) ).
tff(235,plain,
double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(multiply(b3,c3),a3)) = double_divide(identity,identity),
inference(transitivity,[status(thm)],[234,210,28,93,92,76,30]) ).
tff(236,plain,
double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(multiply(b3,c3),a3))) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[235]) ).
tff(237,plain,
double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(multiply(b3,c3),a3))) = double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),
inference(transitivity,[status(thm)],[236,207]) ).
tff(238,plain,
double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(multiply(b3,c3),a3),identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),
inference(monotonicity,[status(thm)],[237,205]) ).
tff(239,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))) = double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(multiply(b3,c3),a3),identity)),
inference(symmetry,[status(thm)],[238]) ).
tff(240,plain,
double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(multiply(b3,c3),a3))) = double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[235]) ).
tff(241,plain,
double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(multiply(b3,c3),a3))) = double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),
inference(transitivity,[status(thm)],[240,170]) ).
tff(242,plain,
double_divide(double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(multiply(b3,c3),a3),identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),
inference(monotonicity,[status(thm)],[241,205]) ).
tff(243,plain,
double_divide(double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(multiply(b3,c3),a3),identity)) = double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(multiply(b3,c3),a3),identity)),
inference(transitivity,[status(thm)],[242,239]) ).
tff(244,plain,
double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(multiply(b3,c3),a3),identity))) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(multiply(b3,c3),a3),identity))),
inference(monotonicity,[status(thm)],[243]) ).
tff(245,plain,
double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(multiply(b3,c3),a3),identity))) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(multiply(b3,c3),a3),identity))),
inference(symmetry,[status(thm)],[244]) ).
tff(246,plain,
double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[245]) ).
tff(247,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(identity,identity)) = double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(248,plain,
double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(identity,identity)) = double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),
inference(unit_resolution,[status(thm)],[247,17]) ).
tff(249,plain,
double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))) = double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[248]) ).
tff(250,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(251,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),
inference(unit_resolution,[status(thm)],[250,17]) ).
tff(252,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_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(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[67]) ).
tff(253,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(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(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(transitivity,[status(thm)],[252,251,249,246,199]) ).
tff(254,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)) = double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[253,30]) ).
tff(255,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(transitivity,[status(thm)],[254,170,197,194,174]) ).
tff(256,plain,
double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))) = 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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(monotonicity,[status(thm)],[255]) ).
tff(257,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)),
inference(monotonicity,[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(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),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(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(symmetry,[status(thm)],[254]) ).
tff(259,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,a3))),double_divide(double_divide(b3,a3),identity))),double_divide(identity,identity)) = double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(260,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,a3))),double_divide(double_divide(b3,a3),identity))),double_divide(identity,identity)) = double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),
inference(unit_resolution,[status(thm)],[259,17]) ).
tff(261,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,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(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,a3))),double_divide(double_divide(b3,a3),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[67]) ).
tff(262,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,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(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(transitivity,[status(thm)],[261,260,249,246,199]) ).
tff(263,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,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(b3,a3),inverse(double_divide(b3,a3))),identity)) = double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[262,30]) ).
tff(264,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,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(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(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(transitivity,[status(thm)],[263,258]) ).
tff(265,plain,
double_divide(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(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,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(b3,a3),inverse(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(monotonicity,[status(thm)],[264]) ).
tff(266,plain,
double_divide(double_divide(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(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,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(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(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[265]) ).
tff(267,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(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(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,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(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,a3))),double_divide(double_divide(b3,a3),identity))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(268,plain,
double_divide(double_divide(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(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,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(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,a3))),double_divide(double_divide(b3,a3),identity))),
inference(unit_resolution,[status(thm)],[267,17]) ).
tff(269,plain,
double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,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(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,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(b3,a3),inverse(double_divide(b3,a3))),identity))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[268]) ).
tff(270,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(271,plain,
identity = double_divide(double_divide(double_divide(b3,a3),identity),inverse(double_divide(double_divide(b3,a3),identity))),
inference(unit_resolution,[status(thm)],[270,26]) ).
tff(272,plain,
double_divide(double_divide(double_divide(b3,a3),identity),inverse(double_divide(double_divide(b3,a3),identity))) = identity,
inference(symmetry,[status(thm)],[271]) ).
tff(273,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(274,plain,
inverse(double_divide(double_divide(b3,a3),identity)) = double_divide(double_divide(double_divide(b3,a3),identity),identity),
inference(unit_resolution,[status(thm)],[273,43]) ).
tff(275,plain,
double_divide(double_divide(double_divide(b3,a3),identity),identity) = inverse(double_divide(double_divide(b3,a3),identity)),
inference(symmetry,[status(thm)],[274]) ).
tff(276,plain,
double_divide(double_divide(double_divide(b3,a3),identity),identity) = double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),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))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[114,175]) ).
tff(277,plain,
double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),identity),identity),
inference(symmetry,[status(thm)],[276]) ).
tff(278,plain,
double_divide(b3,a3) = double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),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))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[104]) ).
tff(279,plain,
double_divide(b3,a3) = inverse(double_divide(double_divide(b3,a3),identity)),
inference(transitivity,[status(thm)],[278,277,275]) ).
tff(280,plain,
double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,a3)) = double_divide(double_divide(double_divide(b3,a3),identity),inverse(double_divide(double_divide(b3,a3),identity))),
inference(monotonicity,[status(thm)],[279]) ).
tff(281,plain,
double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,a3)) = double_divide(identity,identity),
inference(transitivity,[status(thm)],[280,272,28,93,92,76,30]) ).
tff(282,plain,
double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,a3))) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[281]) ).
tff(283,plain,
double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,a3))) = double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),
inference(transitivity,[status(thm)],[282,207]) ).
tff(284,plain,
double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,a3))),double_divide(double_divide(b3,a3),identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),
inference(monotonicity,[status(thm)],[283,156]) ).
tff(285,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))) = double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,a3))),double_divide(double_divide(b3,a3),identity)),
inference(symmetry,[status(thm)],[284]) ).
tff(286,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(287,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),
inference(unit_resolution,[status(thm)],[286,17]) ).
tff(288,plain,
( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
| ( identity = double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),inverse(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(289,plain,
identity = double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),inverse(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))))),
inference(unit_resolution,[status(thm)],[288,26]) ).
tff(290,plain,
double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),inverse(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))))) = identity,
inference(symmetry,[status(thm)],[289]) ).
tff(291,plain,
( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
| ( inverse(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)))) = double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),identity) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(292,plain,
inverse(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)))) = double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),identity),
inference(unit_resolution,[status(thm)],[291,43]) ).
tff(293,plain,
double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),identity) = inverse(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)))),
inference(symmetry,[status(thm)],[292]) ).
tff(294,plain,
double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),identity) = double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[175]) ).
tff(295,plain,
double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(identity,identity)) = double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),identity),
inference(symmetry,[status(thm)],[294]) ).
tff(296,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(identity,identity)) = b3 ) ),
inference(quant_inst,[status(thm)],]) ).
tff(297,plain,
double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(identity,identity)) = b3,
inference(unit_resolution,[status(thm)],[296,17]) ).
tff(298,plain,
b3 = double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[297]) ).
tff(299,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(identity,identity)) = b3 ) ),
inference(quant_inst,[status(thm)],]) ).
tff(300,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(identity,identity)) = b3,
inference(unit_resolution,[status(thm)],[299,17]) ).
tff(301,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = inverse(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)))),
inference(transitivity,[status(thm)],[161,300,298,295,293]) ).
tff(302,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(303,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),
inference(unit_resolution,[status(thm)],[302,17]) ).
tff(304,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[67]) ).
tff(305,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),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)],[304,300]) ).
tff(306,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)) = double_divide(b3,identity),
inference(monotonicity,[status(thm)],[305,78]) ).
tff(307,plain,
double_divide(b3,identity) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(symmetry,[status(thm)],[306]) ).
tff(308,plain,
double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[67]) ).
tff(309,plain,
double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),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)],[308,297]) ).
tff(310,plain,
double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)) = double_divide(b3,identity),
inference(monotonicity,[status(thm)],[309,78]) ).
tff(311,plain,
double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(transitivity,[status(thm)],[310,307]) ).
tff(312,plain,
double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(monotonicity,[status(thm)],[311]) ).
tff(313,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[312]) ).
tff(314,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[313]) ).
tff(315,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(316,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),
inference(unit_resolution,[status(thm)],[315,17]) ).
tff(317,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[316]) ).
tff(318,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))) = double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),
inference(transitivity,[status(thm)],[317,314,303]) ).
tff(319,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),inverse(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))))),
inference(monotonicity,[status(thm)],[318,301]) ).
tff(320,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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)],[319,290,28]) ).
tff(321,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity),
inference(monotonicity,[status(thm)],[320,78]) ).
tff(322,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity)) = double_divide(identity,identity),
inference(transitivity,[status(thm)],[321,30]) ).
tff(323,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[322]) ).
tff(324,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),
inference(symmetry,[status(thm)],[323]) ).
tff(325,plain,
b3 = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[300]) ).
tff(326,plain,
b3 = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),
inference(transitivity,[status(thm)],[325,324]) ).
tff(327,plain,
double_divide(b3,identity) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[326,175]) ).
tff(328,plain,
double_divide(b3,identity) = double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,a3))),double_divide(double_divide(b3,a3),identity)),
inference(transitivity,[status(thm)],[327,287,285]) ).
tff(329,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(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(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),identity))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),identity) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(330,plain,
double_divide(double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(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(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),identity))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),identity),
inference(unit_resolution,[status(thm)],[329,17]) ).
tff(331,plain,
b3 = inverse(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)))),
inference(transitivity,[status(thm)],[298,295,293]) ).
tff(332,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),b3) = double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),inverse(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))))),
inference(monotonicity,[status(thm)],[318,331]) ).
tff(333,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),b3) = double_divide(identity,identity),
inference(transitivity,[status(thm)],[332,290,28,93,92,76,30]) ).
tff(334,plain,
double_divide(double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(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(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),b3)) = double_divide(double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(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(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[333]) ).
tff(335,plain,
double_divide(double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(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(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),b3)) = double_divide(double_divide(b3,a3),identity),
inference(transitivity,[status(thm)],[334,330]) ).
tff(336,plain,
double_divide(double_divide(double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(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(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),b3)),double_divide(b3,identity)) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,a3))),double_divide(double_divide(b3,a3),identity))),
inference(monotonicity,[status(thm)],[335,328]) ).
tff(337,plain,
double_divide(double_divide(double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(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(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),b3)),double_divide(b3,identity)) = double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity)),
inference(transitivity,[status(thm)],[336,269,266,257,170,168,165]) ).
tff(338,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(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(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),b3)),double_divide(b3,identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),
inference(monotonicity,[status(thm)],[337]) ).
tff(339,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(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(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),b3)),double_divide(b3,identity))) = double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),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(transitivity,[status(thm)],[338,149,146,114]) ).
tff(340,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(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(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),b3)),double_divide(b3,identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(b3,a3),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))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[339]) ).
tff(341,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(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(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),b3)),double_divide(b3,identity))),double_divide(identity,identity)) = double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(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(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),identity))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(342,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(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(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),b3)),double_divide(b3,identity))),double_divide(identity,identity)) = double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(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(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),identity))),
inference(unit_resolution,[status(thm)],[341,17]) ).
tff(343,plain,
double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(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(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(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(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),b3)),double_divide(b3,identity))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[342]) ).
tff(344,plain,
double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[303]) ).
tff(345,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(346,plain,
double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),
inference(unit_resolution,[status(thm)],[345,17]) ).
tff(347,plain,
double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[94]) ).
tff(348,plain,
double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),
inference(transitivity,[status(thm)],[347,346]) ).
tff(349,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = a3 ) ),
inference(quant_inst,[status(thm)],]) ).
tff(350,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = a3,
inference(unit_resolution,[status(thm)],[349,17]) ).
tff(351,plain,
double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),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(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[67]) ).
tff(352,plain,
double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),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(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),
inference(transitivity,[status(thm)],[351,207]) ).
tff(353,plain,
double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),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))),identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[352,30]) ).
tff(354,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),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))),identity)),
inference(symmetry,[status(thm)],[353]) ).
tff(355,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(a3,double_divide(double_divide(a3,double_divide(a3,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))),double_divide(identity,identity)) = a3 ) ),
inference(quant_inst,[status(thm)],]) ).
tff(356,plain,
double_divide(double_divide(a3,double_divide(double_divide(a3,double_divide(a3,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))),double_divide(identity,identity)) = a3,
inference(unit_resolution,[status(thm)],[355,17]) ).
tff(357,plain,
( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
| ( identity = double_divide(a3,inverse(a3)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(358,plain,
identity = double_divide(a3,inverse(a3)),
inference(unit_resolution,[status(thm)],[357,26]) ).
tff(359,plain,
double_divide(a3,inverse(a3)) = identity,
inference(symmetry,[status(thm)],[358]) ).
tff(360,plain,
( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
| ( inverse(a3) = double_divide(a3,identity) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(361,plain,
inverse(a3) = double_divide(a3,identity),
inference(unit_resolution,[status(thm)],[360,43]) ).
tff(362,plain,
double_divide(a3,identity) = inverse(a3),
inference(symmetry,[status(thm)],[361]) ).
tff(363,plain,
double_divide(a3,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(a3,identity),
inference(monotonicity,[status(thm)],[31]) ).
tff(364,plain,
double_divide(a3,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = inverse(a3),
inference(transitivity,[status(thm)],[363,362]) ).
tff(365,plain,
double_divide(a3,double_divide(a3,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(a3,inverse(a3)),
inference(monotonicity,[status(thm)],[364]) ).
tff(366,plain,
double_divide(a3,double_divide(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)],[365,359,28]) ).
tff(367,plain,
double_divide(double_divide(a3,double_divide(a3,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)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity),
inference(monotonicity,[status(thm)],[366,78]) ).
tff(368,plain,
double_divide(double_divide(a3,double_divide(a3,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)) = identity,
inference(transitivity,[status(thm)],[367,77,74,33,31]) ).
tff(369,plain,
double_divide(a3,double_divide(double_divide(a3,double_divide(a3,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))) = double_divide(a3,identity),
inference(monotonicity,[status(thm)],[368]) ).
tff(370,plain,
double_divide(a3,identity) = double_divide(a3,double_divide(double_divide(a3,double_divide(a3,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(symmetry,[status(thm)],[369]) ).
tff(371,plain,
double_divide(a3,double_divide(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,identity),
inference(monotonicity,[status(thm)],[118]) ).
tff(372,plain,
double_divide(a3,double_divide(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(a3,double_divide(a3,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(transitivity,[status(thm)],[371,370]) ).
tff(373,plain,
double_divide(double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)) = double_divide(double_divide(a3,double_divide(double_divide(a3,double_divide(a3,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))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[372,30]) ).
tff(374,plain,
double_divide(double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)) = double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),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))),identity)),
inference(transitivity,[status(thm)],[373,356,191,354]) ).
tff(375,plain,
double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),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))),identity))),
inference(monotonicity,[status(thm)],[374]) ).
tff(376,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[375]) ).
tff(377,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[376]) ).
tff(378,plain,
double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),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))),identity))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[251]) ).
tff(379,plain,
double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[246]) ).
tff(380,plain,
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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))) = double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),double_divide(multiply(b3,c3),a3))),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[199]) ).
tff(381,plain,
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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))) = a3,
inference(transitivity,[status(thm)],[380,379,248,378,377,350]) ).
tff(382,plain,
double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),
inference(monotonicity,[status(thm)],[381,348]) ).
tff(383,plain,
double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),
inference(transitivity,[status(thm)],[382,344,313,316]) ).
tff(384,plain,
double_divide(double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[383,30]) ).
tff(385,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),identity)),
inference(symmetry,[status(thm)],[384]) ).
tff(386,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),identity)),
inference(transitivity,[status(thm)],[161,385]) ).
tff(387,plain,
double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),identity))),
inference(monotonicity,[status(thm)],[386]) ).
tff(388,plain,
double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity)) = double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[387,30]) ).
tff(389,plain,
double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity)),
inference(symmetry,[status(thm)],[388]) ).
tff(390,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),identity))),double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(391,plain,
double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),identity))),double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)],[390,17]) ).
tff(392,plain,
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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))) = double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),identity))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[391]) ).
tff(393,plain,
a3 = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[350]) ).
tff(394,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity)),
inference(transitivity,[status(thm)],[152,151,393,376,251,249,246,199,392,389]) ).
tff(395,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),
inference(monotonicity,[status(thm)],[394]) ).
tff(396,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[395,30]) ).
tff(397,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity)),
inference(symmetry,[status(thm)],[396]) ).
tff(398,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(399,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),
inference(unit_resolution,[status(thm)],[398,17]) ).
tff(400,plain,
double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[399]) ).
tff(401,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(402,plain,
double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),
inference(unit_resolution,[status(thm)],[401,17]) ).
tff(403,plain,
( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
| ( identity = double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),inverse(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(404,plain,
identity = double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),inverse(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))))),
inference(unit_resolution,[status(thm)],[403,26]) ).
tff(405,plain,
double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),inverse(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))))) = identity,
inference(symmetry,[status(thm)],[404]) ).
tff(406,plain,
( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
| ( inverse(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity)))) = double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),identity) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(407,plain,
inverse(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity)))) = double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),identity),
inference(unit_resolution,[status(thm)],[406,43]) ).
tff(408,plain,
double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),identity) = inverse(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity)))),
inference(symmetry,[status(thm)],[407]) ).
tff(409,plain,
double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),identity) = double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[175]) ).
tff(410,plain,
double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),identity),
inference(symmetry,[status(thm)],[409]) ).
tff(411,plain,
double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = inverse(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity)))),
inference(transitivity,[status(thm)],[347,410,408]) ).
tff(412,plain,
double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),inverse(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))))),
inference(monotonicity,[status(thm)],[411]) ).
tff(413,plain,
double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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)],[412,405,28]) ).
tff(414,plain,
double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity),
inference(monotonicity,[status(thm)],[413,78]) ).
tff(415,plain,
double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),identity)) = double_divide(identity,identity),
inference(transitivity,[status(thm)],[414,30]) ).
tff(416,plain,
double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),identity))) = double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[415]) ).
tff(417,plain,
double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),identity))),
inference(symmetry,[status(thm)],[416]) ).
tff(418,plain,
double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)) = double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[346]) ).
tff(419,plain,
double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)) = double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),identity))),
inference(transitivity,[status(thm)],[418,417]) ).
tff(420,plain,
double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),identity) = double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),identity))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))))),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[419,175]) ).
tff(421,plain,
double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity)),
inference(transitivity,[status(thm)],[420,402,400,397]) ).
tff(422,plain,
double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))) = double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),
inference(monotonicity,[status(thm)],[381]) ).
tff(423,plain,
double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))) = double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,a3))),double_divide(double_divide(b3,a3),identity)),
inference(transitivity,[status(thm)],[422,344,313,316,285]) ).
tff(424,plain,
double_divide(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(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)))) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),identity),identity))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(b3,a3))),double_divide(double_divide(b3,a3),identity))),
inference(monotonicity,[status(thm)],[423]) ).
tff(425,plain,
double_divide(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(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)))) = double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),
inference(transitivity,[status(thm)],[424,269,266,257,170]) ).
tff(426,plain,
double_divide(double_divide(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(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),
inference(monotonicity,[status(thm)],[425,421]) ).
tff(427,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))) = double_divide(double_divide(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(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),identity)),
inference(symmetry,[status(thm)],[426]) ).
tff(428,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(429,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),
inference(unit_resolution,[status(thm)],[428,17]) ).
tff(430,plain,
( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
| ( identity = double_divide(b3,inverse(b3)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(431,plain,
identity = double_divide(b3,inverse(b3)),
inference(unit_resolution,[status(thm)],[430,26]) ).
tff(432,plain,
double_divide(b3,inverse(b3)) = identity,
inference(symmetry,[status(thm)],[431]) ).
tff(433,plain,
( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
| ( inverse(b3) = double_divide(b3,identity) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(434,plain,
inverse(b3) = double_divide(b3,identity),
inference(unit_resolution,[status(thm)],[433,43]) ).
tff(435,plain,
double_divide(b3,identity) = inverse(b3),
inference(symmetry,[status(thm)],[434]) ).
tff(436,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),double_divide(identity,identity)) = double_divide(b3,identity),
inference(symmetry,[status(thm)],[327]) ).
tff(437,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[287]) ).
tff(438,plain,
double_divide(b3,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(b3,identity),
inference(monotonicity,[status(thm)],[31]) ).
tff(439,plain,
double_divide(b3,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(transitivity,[status(thm)],[438,307]) ).
tff(440,plain,
double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(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(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(monotonicity,[status(thm)],[439]) ).
tff(441,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(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))),identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[440,30]) ).
tff(442,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(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))),identity)) = inverse(b3),
inference(transitivity,[status(thm)],[441,316,437,436,435]) ).
tff(443,plain,
double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(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))),identity))) = double_divide(b3,inverse(b3)),
inference(monotonicity,[status(thm)],[442]) ).
tff(444,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(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))),identity)),
inference(symmetry,[status(thm)],[441]) ).
tff(445,plain,
double_divide(b3,identity) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(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))),identity)),
inference(transitivity,[status(thm)],[327,287,317,444]) ).
tff(446,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(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))),identity))),double_divide(identity,identity)) = b3 ) ),
inference(quant_inst,[status(thm)],]) ).
tff(447,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(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))),identity))),double_divide(identity,identity)) = b3,
inference(unit_resolution,[status(thm)],[446,17]) ).
tff(448,plain,
double_divide(b3,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = inverse(b3),
inference(transitivity,[status(thm)],[438,435]) ).
tff(449,plain,
double_divide(b3,double_divide(b3,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(b3,inverse(b3)),
inference(monotonicity,[status(thm)],[448]) ).
tff(450,plain,
double_divide(b3,double_divide(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)],[449,432,28]) ).
tff(451,plain,
double_divide(double_divide(b3,double_divide(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))),identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity),
inference(monotonicity,[status(thm)],[450,78]) ).
tff(452,plain,
double_divide(double_divide(b3,double_divide(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))),identity)) = identity,
inference(transitivity,[status(thm)],[451,77,74,33,31]) ).
tff(453,plain,
double_divide(b3,double_divide(double_divide(b3,double_divide(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))),identity))) = double_divide(b3,identity),
inference(monotonicity,[status(thm)],[452]) ).
tff(454,plain,
double_divide(b3,identity) = double_divide(b3,double_divide(double_divide(b3,double_divide(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))),identity))),
inference(symmetry,[status(thm)],[453]) ).
tff(455,plain,
double_divide(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(b3,identity),
inference(monotonicity,[status(thm)],[118]) ).
tff(456,plain,
double_divide(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(b3,double_divide(double_divide(b3,double_divide(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))),identity))),
inference(transitivity,[status(thm)],[455,454]) ).
tff(457,plain,
double_divide(double_divide(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))),identity)) = double_divide(double_divide(b3,double_divide(double_divide(b3,double_divide(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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[456,30]) ).
tff(458,plain,
double_divide(double_divide(b3,double_divide(double_divide(b3,double_divide(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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(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))),identity)),
inference(symmetry,[status(thm)],[457]) ).
tff(459,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(b3,double_divide(double_divide(b3,double_divide(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))),identity))),double_divide(identity,identity)) = b3 ) ),
inference(quant_inst,[status(thm)],]) ).
tff(460,plain,
double_divide(double_divide(b3,double_divide(double_divide(b3,double_divide(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))),identity))),double_divide(identity,identity)) = b3,
inference(unit_resolution,[status(thm)],[459,17]) ).
tff(461,plain,
b3 = double_divide(double_divide(b3,double_divide(double_divide(b3,double_divide(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))),identity))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[460]) ).
tff(462,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(identity,identity)) = double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(463,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(identity,identity)) = double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),
inference(unit_resolution,[status(thm)],[462,17]) ).
tff(464,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_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),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[67]) ).
tff(465,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),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,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),
inference(transitivity,[status(thm)],[464,463,344,313,316]) ).
tff(466,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[465,30]) ).
tff(467,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)) = double_divide(double_divide(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))),identity)),
inference(transitivity,[status(thm)],[466,300,461,458]) ).
tff(468,plain,
double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(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))),identity))),
inference(monotonicity,[status(thm)],[467]) ).
tff(469,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[468]) ).
tff(470,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(471,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),
inference(unit_resolution,[status(thm)],[470,17]) ).
tff(472,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[471]) ).
tff(473,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(474,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),
inference(unit_resolution,[status(thm)],[473,17]) ).
tff(475,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),b3)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[333]) ).
tff(476,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),b3)) = b3,
inference(transitivity,[status(thm)],[475,474,472,469,447]) ).
tff(477,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),b3)),double_divide(b3,identity)) = double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(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))),identity))),
inference(monotonicity,[status(thm)],[476,445]) ).
tff(478,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),b3)),double_divide(b3,identity)) = double_divide(identity,identity),
inference(transitivity,[status(thm)],[477,443,432,28,93,92,76,30]) ).
tff(479,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),b3)),double_divide(b3,identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[478]) ).
tff(480,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),b3)),double_divide(b3,identity))) = b3,
inference(transitivity,[status(thm)],[479,300]) ).
tff(481,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),b3)),double_divide(b3,identity))),double_divide(identity,identity)) = double_divide(b3,identity),
inference(monotonicity,[status(thm)],[480,115]) ).
tff(482,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),b3)),double_divide(b3,identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(483,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),b3)),double_divide(b3,identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity))),
inference(unit_resolution,[status(thm)],[482,17]) ).
tff(484,plain,
double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),b3)),double_divide(b3,identity))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[483]) ).
tff(485,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(486,plain,
identity = double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),
inference(unit_resolution,[status(thm)],[485,26]) ).
tff(487,plain,
double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))) = identity,
inference(symmetry,[status(thm)],[486]) ).
tff(488,plain,
( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
| ( inverse(double_divide(double_divide(c3,b3),identity)) = double_divide(double_divide(double_divide(c3,b3),identity),identity) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(489,plain,
inverse(double_divide(double_divide(c3,b3),identity)) = double_divide(double_divide(double_divide(c3,b3),identity),identity),
inference(unit_resolution,[status(thm)],[488,43]) ).
tff(490,plain,
double_divide(double_divide(double_divide(c3,b3),identity),identity) = inverse(double_divide(double_divide(c3,b3),identity)),
inference(symmetry,[status(thm)],[489]) ).
tff(491,plain,
double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(double_divide(c3,b3),identity),identity),
inference(monotonicity,[status(thm)],[31]) ).
tff(492,plain,
double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = inverse(double_divide(double_divide(c3,b3),identity)),
inference(transitivity,[status(thm)],[491,490]) ).
tff(493,plain,
double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),
inference(monotonicity,[status(thm)],[492]) ).
tff(494,plain,
double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(c3,b3),double_divide(double_divide(c3,b3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
inference(transitivity,[status(thm)],[493,487,48,58]) ).
tff(495,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),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))),identity)) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,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))),identity)),
inference(monotonicity,[status(thm)],[494]) ).
tff(496,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),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))),identity)) = identity,
inference(transitivity,[status(thm)],[495,57,36]) ).
tff(497,plain,
double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),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))),identity))) = double_divide(double_divide(double_divide(c3,b3),identity),identity),
inference(monotonicity,[status(thm)],[496]) ).
tff(498,plain,
double_divide(double_divide(double_divide(c3,b3),identity),identity) = double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),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))),identity))),
inference(symmetry,[status(thm)],[497]) ).
tff(499,plain,
double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,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))),identity)) = identity,
inference(transitivity,[status(thm)],[57,36]) ).
tff(500,plain,
double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,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))),identity))) = double_divide(double_divide(c3,b3),identity),
inference(monotonicity,[status(thm)],[499]) ).
tff(501,plain,
double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,b3),identity),identity),
inference(monotonicity,[status(thm)],[500,115]) ).
tff(502,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,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))),identity))),double_divide(identity,identity)) = double_divide(c3,b3) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(503,plain,
double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,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))),identity))),double_divide(identity,identity)) = double_divide(c3,b3),
inference(unit_resolution,[status(thm)],[502,17]) ).
tff(504,plain,
double_divide(c3,b3) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,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))),identity))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[503]) ).
tff(505,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = b3,
inference(transitivity,[status(thm)],[161,300]) ).
tff(506,plain,
double_divide(c3,double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(c3,b3),
inference(monotonicity,[status(thm)],[505]) ).
tff(507,plain,
double_divide(c3,double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),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(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),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))),identity))),
inference(transitivity,[status(thm)],[506,504,501,498]) ).
tff(508,plain,
double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[507,30]) ).
tff(509,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity)),
inference(symmetry,[status(thm)],[508]) ).
tff(510,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[498,175]) ).
tff(511,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity) = double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity)),
inference(transitivity,[status(thm)],[510,509]) ).
tff(512,plain,
double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity)) = double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),
inference(monotonicity,[status(thm)],[490]) ).
tff(513,plain,
double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity)) = double_divide(identity,identity),
inference(transitivity,[status(thm)],[512,487,28,93,92,76,30]) ).
tff(514,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[513]) ).
tff(515,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),
inference(transitivity,[status(thm)],[514,463,344,313,316]) ).
tff(516,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),
inference(monotonicity,[status(thm)],[515,511]) ).
tff(517,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity)),
inference(symmetry,[status(thm)],[516]) ).
tff(518,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(519,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),
inference(unit_resolution,[status(thm)],[518,17]) ).
tff(520,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[513]) ).
tff(521,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),
inference(transitivity,[status(thm)],[520,519]) ).
tff(522,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(c3,double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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))),identity))),
inference(monotonicity,[status(thm)],[521,511]) ).
tff(523,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity)),
inference(transitivity,[status(thm)],[522,517]) ).
tff(524,plain,
double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity))) = double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity))),
inference(monotonicity,[status(thm)],[523]) ).
tff(525,plain,
double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity))) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),
inference(transitivity,[status(thm)],[524,484,481,327,287]) ).
tff(526,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[525]) ).
tff(527,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),identity),identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),identity))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[526]) ).
tff(528,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[175]) ).
tff(529,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),identity) = double_divide(double_divide(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(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),identity)),
inference(transitivity,[status(thm)],[528,527,429,427]) ).
tff(530,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(531,plain,
double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),
inference(unit_resolution,[status(thm)],[530,17]) ).
tff(532,plain,
double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),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))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[67]) ).
tff(533,plain,
double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),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))),double_divide(double_divide(double_divide(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(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),
inference(transitivity,[status(thm)],[532,531]) ).
tff(534,plain,
double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[533,30]) ).
tff(535,plain,
double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)) = double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),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))),identity)),
inference(transitivity,[status(thm)],[534,354]) ).
tff(536,plain,
double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),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))),identity))),
inference(monotonicity,[status(thm)],[535]) ).
tff(537,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(multiply(b3,c3),a3),identity))),double_divide(double_divide(double_divide(multiply(b3,c3),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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[536]) ).
tff(538,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),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(539,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),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)],[538,17]) ).
tff(540,plain,
double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),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))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[539]) ).
tff(541,plain,
double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity)),
inference(transitivity,[status(thm)],[220,205]) ).
tff(542,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),
inference(monotonicity,[status(thm)],[541]) ).
tff(543,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),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)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[542,30]) ).
tff(544,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),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(symmetry,[status(thm)],[543]) ).
tff(545,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),identity) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(546,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),identity),
inference(unit_resolution,[status(thm)],[545,17]) ).
tff(547,plain,
double_divide(double_divide(c3,b3),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[546]) ).
tff(548,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),identity) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(549,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),identity),
inference(unit_resolution,[status(thm)],[548,17]) ).
tff(550,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(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),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,b3),identity),identity) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(551,plain,
double_divide(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),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,b3),identity),identity),
inference(unit_resolution,[status(thm)],[550,17]) ).
tff(552,plain,
double_divide(double_divide(c3,b3),identity) = double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,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))),identity))),
inference(symmetry,[status(thm)],[500]) ).
tff(553,plain,
double_divide(double_divide(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(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[498,67]) ).
tff(554,plain,
double_divide(double_divide(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(c3,b3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,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))),identity))),
inference(transitivity,[status(thm)],[553,549,552]) ).
tff(555,plain,
double_divide(double_divide(double_divide(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))),identity)) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[554,30]) ).
tff(556,plain,
double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(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))),identity)),
inference(symmetry,[status(thm)],[555]) ).
tff(557,plain,
double_divide(double_divide(double_divide(c3,b3),identity),identity) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,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))),identity))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[501]) ).
tff(558,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(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),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(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),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(559,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(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),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(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),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)],[558,17]) ).
tff(560,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(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),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_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(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),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[67]) ).
tff(561,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(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),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(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(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))),identity))),
inference(transitivity,[status(thm)],[560,559]) ).
tff(562,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(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),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)) = double_divide(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),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[561,30]) ).
tff(563,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(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),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)) = double_divide(double_divide(double_divide(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))),identity)),
inference(transitivity,[status(thm)],[562,551,557,556]) ).
tff(564,plain,
double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(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),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))) = 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),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(monotonicity,[status(thm)],[563]) ).
tff(565,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(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),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(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),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[564]) ).
tff(566,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(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),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(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(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(567,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(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),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(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(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)],[566,17]) ).
tff(568,plain,
double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(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),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(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),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[567]) ).
tff(569,plain,
double_divide(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),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_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(double_divide(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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[67]) ).
tff(570,plain,
double_divide(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),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(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(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),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))),identity))),
inference(transitivity,[status(thm)],[569,551,498]) ).
tff(571,plain,
double_divide(double_divide(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),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[570,30]) ).
tff(572,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),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))),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(double_divide(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))),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(symmetry,[status(thm)],[571]) ).
tff(573,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,b3),identity),identity) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(574,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,b3),identity),identity),
inference(unit_resolution,[status(thm)],[573,17]) ).
tff(575,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[67]) ).
tff(576,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),double_divide(double_divide(double_divide(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(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),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))),identity))),
inference(transitivity,[status(thm)],[575,574,498]) ).
tff(577,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[576,30]) ).
tff(578,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)) = double_divide(double_divide(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),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(transitivity,[status(thm)],[577,572]) ).
tff(579,plain,
double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(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),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(monotonicity,[status(thm)],[578]) ).
tff(580,plain,
double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))) = double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),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))),identity))),
inference(transitivity,[status(thm)],[579,568,565,551,498]) ).
tff(581,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[580]) ).
tff(582,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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(583,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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)],[582,17]) ).
tff(584,plain,
double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[583]) ).
tff(585,plain,
double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[94]) ).
tff(586,plain,
double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = b3,
inference(transitivity,[status(thm)],[585,297]) ).
tff(587,plain,
double_divide(c3,double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(c3,b3),
inference(monotonicity,[status(thm)],[586]) ).
tff(588,plain,
double_divide(c3,double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),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(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),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))),identity))),
inference(transitivity,[status(thm)],[587,504,501,498]) ).
tff(589,plain,
double_divide(double_divide(c3,double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,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))),identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[588,30]) ).
tff(590,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(c3,double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,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))),identity)),
inference(symmetry,[status(thm)],[589]) ).
tff(591,plain,
double_divide(double_divide(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(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(c3,b3),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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[498,94]) ).
tff(592,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(c3,double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,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))),identity)),
inference(transitivity,[status(thm)],[591,590]) ).
tff(593,plain,
double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(c3,double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,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))),identity))),
inference(monotonicity,[status(thm)],[592]) ).
tff(594,plain,
double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity)) = double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(c3,double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[593,30]) ).
tff(595,plain,
double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(c3,double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity)),
inference(symmetry,[status(thm)],[594]) ).
tff(596,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(c3,double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,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))),identity))),double_divide(identity,identity)) = c3 ) ),
inference(quant_inst,[status(thm)],]) ).
tff(597,plain,
double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(c3,double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,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))),identity))),double_divide(identity,identity)) = c3,
inference(unit_resolution,[status(thm)],[596,17]) ).
tff(598,plain,
c3 = double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(c3,double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,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))),identity))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[597]) ).
tff(599,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(identity,identity)) = c3 ) ),
inference(quant_inst,[status(thm)],]) ).
tff(600,plain,
double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(identity,identity)) = c3,
inference(unit_resolution,[status(thm)],[599,17]) ).
tff(601,plain,
double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity)),
inference(transitivity,[status(thm)],[95,600,598,595]) ).
tff(602,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),
inference(monotonicity,[status(thm)],[601]) ).
tff(603,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[602,30]) ).
tff(604,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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(symmetry,[status(thm)],[603]) ).
tff(605,plain,
double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(a3,double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity))),double_divide(double_divide(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))),identity))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[463]) ).
tff(606,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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(transitivity,[status(thm)],[317,314,303,605,604]) ).
tff(607,plain,
double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity)))) = double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),identity),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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(monotonicity,[status(thm)],[606]) ).
tff(608,plain,
double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity)))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),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(transitivity,[status(thm)],[607,584,581,549,547,544]) ).
tff(609,plain,
double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))))) = double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(multiply(b3,c3),a3),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(monotonicity,[status(thm)],[608]) ).
tff(610,plain,
double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(transitivity,[status(thm)],[609,540,537,251,249,246,199]) ).
tff(611,plain,
double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),identity)) = double_divide(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),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(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(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)))),double_divide(double_divide(double_divide(b3,double_divide(a3,c3)),double_divide(c3,identity)),identity))),
inference(monotonicity,[status(thm)],[610,529]) ).
tff(612,plain,
double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),identity)) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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(transitivity,[status(thm)],[611,343,340,104,102,99]) ).
tff(613,plain,
double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),identity))) = double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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(monotonicity,[status(thm)],[612]) ).
tff(614,plain,
double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))) = double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),identity))),
inference(symmetry,[status(thm)],[613]) ).
tff(615,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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(616,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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)],[615,17]) ).
tff(617,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(c3,multiply(a3,b3)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(618,plain,
double_divide(double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(c3,multiply(a3,b3)),
inference(unit_resolution,[status(thm)],[617,17]) ).
tff(619,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(620,plain,
identity = double_divide(double_divide(c3,multiply(a3,b3)),inverse(double_divide(c3,multiply(a3,b3)))),
inference(unit_resolution,[status(thm)],[619,26]) ).
tff(621,plain,
double_divide(double_divide(c3,multiply(a3,b3)),inverse(double_divide(c3,multiply(a3,b3)))) = identity,
inference(symmetry,[status(thm)],[620]) ).
tff(622,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(623,plain,
inverse(double_divide(c3,multiply(a3,b3))) = double_divide(double_divide(c3,multiply(a3,b3)),identity),
inference(unit_resolution,[status(thm)],[622,43]) ).
tff(624,plain,
double_divide(double_divide(c3,multiply(a3,b3)),identity) = inverse(double_divide(c3,multiply(a3,b3))),
inference(symmetry,[status(thm)],[623]) ).
tff(625,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)],[87,624]) ).
tff(626,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)],[625]) ).
tff(627,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,b3),double_divide(double_divide(c3,b3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
inference(transitivity,[status(thm)],[626,621,48,58]) ).
tff(628,plain,
double_divide(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))),identity)) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(c3,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))),identity)),
inference(monotonicity,[status(thm)],[627]) ).
tff(629,plain,
double_divide(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))),identity)) = identity,
inference(transitivity,[status(thm)],[628,57,36]) ).
tff(630,plain,
double_divide(double_divide(c3,multiply(a3,b3)),double_divide(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))),identity))) = double_divide(double_divide(c3,multiply(a3,b3)),identity),
inference(monotonicity,[status(thm)],[629]) ).
tff(631,plain,
double_divide(double_divide(c3,multiply(a3,b3)),identity) = double_divide(double_divide(c3,multiply(a3,b3)),double_divide(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))),identity))),
inference(symmetry,[status(thm)],[630]) ).
tff(632,plain,
double_divide(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(c3,multiply(a3,b3)),identity),
inference(monotonicity,[status(thm)],[118]) ).
tff(633,plain,
double_divide(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(c3,multiply(a3,b3)),double_divide(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))),identity))),
inference(transitivity,[status(thm)],[632,631]) ).
tff(634,plain,
double_divide(double_divide(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))),identity)) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[633,30]) ).
tff(635,plain,
double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(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))),identity)),
inference(symmetry,[status(thm)],[634]) ).
tff(636,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(c3,multiply(a3,b3)),identity) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(637,plain,
double_divide(double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(c3,multiply(a3,b3)),identity),
inference(unit_resolution,[status(thm)],[636,17]) ).
tff(638,plain,
double_divide(double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_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(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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[67]) ).
tff(639,plain,
double_divide(double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(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(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))),identity))),
inference(transitivity,[status(thm)],[638,637,631]) ).
tff(640,plain,
double_divide(double_divide(double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[639,30]) ).
tff(641,plain,
double_divide(double_divide(double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)) = double_divide(double_divide(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))),identity)),
inference(transitivity,[status(thm)],[640,635]) ).
tff(642,plain,
double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))) = double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(monotonicity,[status(thm)],[641]) ).
tff(643,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[642]) ).
tff(644,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(645,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)],[644,17]) ).
tff(646,plain,
double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[645]) ).
tff(647,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(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))),identity))),double_divide(identity,identity)) = double_divide(c3,multiply(a3,b3)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(648,plain,
double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(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))),identity))),double_divide(identity,identity)) = double_divide(c3,multiply(a3,b3)),
inference(unit_resolution,[status(thm)],[647,17]) ).
tff(649,plain,
double_divide(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(c3,multiply(a3,b3)),double_divide(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))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[631,67]) ).
tff(650,plain,
double_divide(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(c3,multiply(a3,b3)),
inference(transitivity,[status(thm)],[649,648]) ).
tff(651,plain,
double_divide(double_divide(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))),identity)) = double_divide(double_divide(c3,multiply(a3,b3)),identity),
inference(monotonicity,[status(thm)],[650,78]) ).
tff(652,plain,
double_divide(double_divide(c3,multiply(a3,b3)),identity) = double_divide(double_divide(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))),identity)),
inference(symmetry,[status(thm)],[651]) ).
tff(653,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B )
| ( double_divide(double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),double_divide(identity,identity)) = double_divide(c3,multiply(a3,b3)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(654,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),double_divide(identity,identity)) = double_divide(c3,multiply(a3,b3)),
inference(unit_resolution,[status(thm)],[653,17]) ).
tff(655,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[67]) ).
tff(656,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),double_divide(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(transitivity,[status(thm)],[655,654]) ).
tff(657,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)) = double_divide(double_divide(c3,multiply(a3,b3)),identity),
inference(monotonicity,[status(thm)],[656,78]) ).
tff(658,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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)) = double_divide(double_divide(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))),identity)),
inference(transitivity,[status(thm)],[657,652]) ).
tff(659,plain,
double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))) = double_divide(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(double_divide(b3,a3),inverse(double_divide(b3,a3))),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(monotonicity,[status(thm)],[658]) ).
tff(660,plain,
double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))) = double_divide(c3,multiply(a3,b3)),
inference(transitivity,[status(thm)],[659,646,643,618]) ).
tff(661,plain,
double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)) = double_divide(double_divide(c3,multiply(a3,b3)),identity),
inference(monotonicity,[status(thm)],[660,115]) ).
tff(662,plain,
double_divide(double_divide(c3,multiply(a3,b3)),identity) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),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))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),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))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[661]) ).
tff(663,plain,
double_divide(double_divide(c3,multiply(a3,b3)),double_divide(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))),identity))) = double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),identity))),
inference(transitivity,[status(thm)],[630,662,616,614]) ).
tff(664,plain,
double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(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))),identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(multiply(b3,c3),a3),double_divide(double_divide(double_divide(b3,a3),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),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))),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(a3,identity))),double_divide(double_divide(b3,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(a3,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(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))),identity))),identity))),double_divide(identity,identity)),
inference(monotonicity,[status(thm)],[663]) ).
tff(665,plain,
double_divide(c3,multiply(a3,b3)) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(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))),identity))),double_divide(identity,identity)),
inference(symmetry,[status(thm)],[648]) ).
tff(666,plain,
double_divide(c3,multiply(a3,b3)) = double_divide(multiply(b3,c3),a3),
inference(transitivity,[status(thm)],[665,664,19]) ).
tff(667,plain,
double_divide(double_divide(c3,multiply(a3,b3)),identity) = double_divide(double_divide(multiply(b3,c3),a3),identity),
inference(monotonicity,[status(thm)],[666]) ).
tff(668,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(669,plain,
multiply(multiply(a3,b3),c3) = double_divide(double_divide(c3,multiply(a3,b3)),identity),
inference(unit_resolution,[status(thm)],[668,7]) ).
tff(670,plain,
multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
inference(transitivity,[status(thm)],[669,667,10]) ).
tff(671,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(672,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
tff(673,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(modus_ponens,[status(thm)],[672,671]) ).
tff(674,plain,
$false,
inference(unit_resolution,[status(thm)],[673,670]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP571-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 31 17:46:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 1.47/1.16 % SZS status Unsatisfiable
% 1.47/1.16 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------