%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRP524-1 : TPTP v9.0.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:08:00 AM UTC 2025
% Result : Unsatisfiable 0.64s 0.84s
% Output : Proof 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 83
% Number of leaves : 68
% Syntax : Number of formulae : 433 ( 369 unt; 0 typ; 0 def)
% Number of atoms : 503 ( 499 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 128 ( 61 ~; 57 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of FOOLs : 3 ( 3 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 233 ( 225 !; 0 ?; 233 :)
% Comments :
%------------------------------------------------------------------------------
tff(multiply_type,type,
multiply: ( $i * $i ) > $i ).
tff(a_type,type,
a: $i ).
tff(b_type,type,
b: $i ).
tff(divide_type,type,
divide: ( $i * $i ) > $i ).
tff(inverse_type,type,
inverse: $i > $i ).
tff(1,plain,
^ [B: $i,A: $i,C: $i] :
refl(( ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
<=> ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ) )),
inference(bind,[status(th)],[]) ).
tff(2,plain,
( ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
<=> ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
<=> ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(4,axiom,
! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
tff(5,plain,
! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ),
inference(skolemize,[status(sab)],[5]) ).
tff(7,plain,
! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ),
inference(modus_ponens,[status(thm)],[6,2]) ).
tff(8,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(b,a) = divide(b,divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(9,plain,
multiply(b,a) = divide(b,divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)),
inference(unit_resolution,[status(thm)],[8,7]) ).
tff(10,plain,
divide(b,divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)) = multiply(b,a),
inference(symmetry,[status(thm)],[9]) ).
tff(11,plain,
^ [B: $i,A: $i,C: $i] :
refl(( ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
<=> ( divide(A,divide(B,divide(C,divide(A,B)))) = C ) )),
inference(bind,[status(th)],[]) ).
tff(12,plain,
( ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
<=> ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C ) ),
inference(quant_intro,[status(thm)],[11]) ).
tff(13,plain,
( ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
<=> ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C ) ),
inference(rewrite,[status(thm)],[]) ).
tff(14,axiom,
! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
tff(15,plain,
! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C ),
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C ),
inference(skolemize,[status(sab)],[15]) ).
tff(17,plain,
! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C ),
inference(modus_ponens,[status(thm)],[16,12]) ).
tff(18,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = a ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(19,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = a,
inference(unit_resolution,[status(thm)],[18,17]) ).
tff(20,plain,
^ [B: $i,A: $i] :
refl(( ( inverse(A) = divide(divide(B,B),A) )
<=> ( inverse(A) = divide(divide(B,B),A) ) )),
inference(bind,[status(th)],[]) ).
tff(21,plain,
( ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
<=> ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ) ),
inference(quant_intro,[status(thm)],[20]) ).
tff(22,plain,
( ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
<=> ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(23,axiom,
! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
tff(24,plain,
! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ),
inference(skolemize,[status(sab)],[24]) ).
tff(26,plain,
! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ),
inference(modus_ponens,[status(thm)],[25,21]) ).
tff(27,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(a) = divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),a) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(28,plain,
inverse(a) = divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),a),
inference(unit_resolution,[status(thm)],[27,26]) ).
tff(29,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(a) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(30,plain,
inverse(a) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),
inference(unit_resolution,[status(thm)],[29,26]) ).
tff(31,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a) = inverse(a),
inference(symmetry,[status(thm)],[30]) ).
tff(32,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(a,divide(b,divide(a,divide(a,b)))) = a ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(33,plain,
divide(a,divide(b,divide(a,divide(a,b)))) = a,
inference(unit_resolution,[status(thm)],[32,17]) ).
tff(34,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))) = divide(b,divide(a,divide(a,b))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(35,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))) = divide(b,divide(a,divide(a,b))),
inference(unit_resolution,[status(thm)],[34,17]) ).
tff(36,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(b,divide(a,divide(a,b))),a) = divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(37,plain,
multiply(divide(b,divide(a,divide(a,b))),a) = divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),
inference(unit_resolution,[status(thm)],[36,7]) ).
tff(38,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(b,divide(a,divide(a,b))),a) = divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(39,plain,
multiply(divide(b,divide(a,divide(a,b))),a) = divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)),
inference(unit_resolution,[status(thm)],[38,7]) ).
tff(40,plain,
divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)) = multiply(divide(b,divide(a,divide(a,b))),a),
inference(symmetry,[status(thm)],[39]) ).
tff(41,plain,
divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)) = divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),
inference(transitivity,[status(thm)],[40,37]) ).
tff(42,plain,
divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))) = divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))),
inference(monotonicity,[status(thm)],[41]) ).
tff(43,plain,
divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))) = divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),
inference(symmetry,[status(thm)],[42]) ).
tff(44,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(a) = divide(divide(a,a),a) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(45,plain,
inverse(a) = divide(divide(a,a),a),
inference(unit_resolution,[status(thm)],[44,26]) ).
tff(46,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(b,divide(a,divide(a,b))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),
inference(monotonicity,[status(thm)],[33]) ).
tff(47,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(b,divide(a,divide(a,b))))) = divide(divide(a,a),a),
inference(transitivity,[status(thm)],[46,31,45]) ).
tff(48,plain,
divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(b,divide(a,divide(a,b)))))) = divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),
inference(monotonicity,[status(thm)],[47]) ).
tff(49,plain,
divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)) = divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(b,divide(a,divide(a,b)))))),
inference(symmetry,[status(thm)],[48]) ).
tff(50,plain,
divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))) = divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(b,divide(a,divide(a,b))))))),
inference(monotonicity,[status(thm)],[49]) ).
tff(51,plain,
divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(b,divide(a,divide(a,b))))))) = divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))),
inference(symmetry,[status(thm)],[50]) ).
tff(52,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(b,divide(a,divide(a,b))))))) = divide(divide(divide(b,b),b),divide(divide(b,b),b)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(53,plain,
divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(b,divide(a,divide(a,b))))))) = divide(divide(divide(b,b),b),divide(divide(b,b),b)),
inference(unit_resolution,[status(thm)],[52,17]) ).
tff(54,plain,
divide(divide(divide(b,b),b),divide(divide(b,b),b)) = divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(b,divide(a,divide(a,b))))))),
inference(symmetry,[status(thm)],[53]) ).
tff(55,plain,
divide(divide(divide(b,b),b),divide(divide(b,b),b)) = divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),
inference(transitivity,[status(thm)],[54,51,43]) ).
tff(56,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),
inference(monotonicity,[status(thm)],[55]) ).
tff(57,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))) = divide(b,divide(a,divide(a,b))),
inference(transitivity,[status(thm)],[56,35]) ).
tff(58,plain,
divide(a,divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))) = divide(a,divide(b,divide(a,divide(a,b)))),
inference(monotonicity,[status(thm)],[57]) ).
tff(59,plain,
divide(a,divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))) = a,
inference(transitivity,[status(thm)],[58,33]) ).
tff(60,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),
inference(monotonicity,[status(thm)],[59]) ).
tff(61,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))) = divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),a),
inference(transitivity,[status(thm)],[60,31,28]) ).
tff(62,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),a)),
inference(monotonicity,[status(thm)],[61]) ).
tff(63,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),a)) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))),
inference(symmetry,[status(thm)],[62]) ).
tff(64,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(b,divide(a,divide(a,b))))),
inference(symmetry,[status(thm)],[46]) ).
tff(65,plain,
divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),a) = inverse(a),
inference(symmetry,[status(thm)],[28]) ).
tff(66,plain,
divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),a) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(b,divide(a,divide(a,b))))),
inference(transitivity,[status(thm)],[65,30,64]) ).
tff(67,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b))))))) = divide(b,divide(a,divide(a,b))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(68,plain,
divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b))))))) = divide(b,divide(a,divide(a,b))),
inference(unit_resolution,[status(thm)],[67,17]) ).
tff(69,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),divide(a,divide(b,divide(a,divide(a,b))))))) = divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(70,plain,
divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),divide(a,divide(b,divide(a,divide(a,b))))))) = divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),
inference(unit_resolution,[status(thm)],[69,17]) ).
tff(71,plain,
divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),divide(a,divide(b,divide(a,divide(a,b))))) = divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),a),
inference(monotonicity,[status(thm)],[33]) ).
tff(72,plain,
divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),divide(a,divide(b,divide(a,divide(a,b))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(b,divide(a,divide(a,b))))),
inference(transitivity,[status(thm)],[71,65,30,64]) ).
tff(73,plain,
divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),divide(a,divide(b,divide(a,divide(a,b)))))) = divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(b,divide(a,divide(a,b)))))),
inference(monotonicity,[status(thm)],[72]) ).
tff(74,plain,
divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),divide(a,divide(b,divide(a,divide(a,b)))))) = divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),
inference(transitivity,[status(thm)],[73,48]) ).
tff(75,plain,
divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),divide(a,divide(b,divide(a,divide(a,b))))))) = divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))),
inference(monotonicity,[status(thm)],[74]) ).
tff(76,plain,
divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))) = divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),divide(a,divide(b,divide(a,divide(a,b))))))),
inference(symmetry,[status(thm)],[75]) ).
tff(77,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b))))))) = divide(divide(divide(b,b),b),divide(divide(b,b),b)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(78,plain,
divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b))))))) = divide(divide(divide(b,b),b),divide(divide(b,b),b)),
inference(unit_resolution,[status(thm)],[77,17]) ).
tff(79,plain,
divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))) = divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),divide(a,divide(b,divide(a,divide(a,b))))))),
inference(symmetry,[status(thm)],[70]) ).
tff(80,plain,
divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))) = divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),
inference(transitivity,[status(thm)],[79,75,43]) ).
tff(81,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),
inference(monotonicity,[status(thm)],[80]) ).
tff(82,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b))))) = divide(b,divide(a,divide(a,b))),
inference(transitivity,[status(thm)],[81,35]) ).
tff(83,plain,
divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))))) = divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),
inference(monotonicity,[status(thm)],[82]) ).
tff(84,plain,
divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))) = divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))))),
inference(symmetry,[status(thm)],[83]) ).
tff(85,plain,
divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b))))) = divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b))))))),
inference(monotonicity,[status(thm)],[84]) ).
tff(86,plain,
divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b))))) = divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),
inference(transitivity,[status(thm)],[85,78,54,51,76,70]) ).
tff(87,plain,
divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))))) = divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b))))),
inference(monotonicity,[status(thm)],[86]) ).
tff(88,plain,
divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))))) = divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),
inference(transitivity,[status(thm)],[87,85,78,54,51,76,70]) ).
tff(89,plain,
divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b))))))) = divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b))))),
inference(monotonicity,[status(thm)],[88]) ).
tff(90,plain,
divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b))))) = divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b))))))),
inference(symmetry,[status(thm)],[89]) ).
tff(91,plain,
divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b))))))) = divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b))))),
inference(symmetry,[status(thm)],[85]) ).
tff(92,plain,
divide(divide(divide(b,b),b),divide(divide(b,b),b)) = divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b))))))),
inference(symmetry,[status(thm)],[78]) ).
tff(93,plain,
divide(divide(divide(b,b),b),divide(divide(b,b),b)) = divide(b,divide(a,divide(a,b))),
inference(transitivity,[status(thm)],[92,91,90,68]) ).
tff(94,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),a)) = divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(b,divide(a,divide(a,b)))))),
inference(monotonicity,[status(thm)],[93,66]) ).
tff(95,plain,
divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(b,divide(a,divide(a,b)))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),a)),
inference(symmetry,[status(thm)],[94]) ).
tff(96,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(a,divide(a,b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(a,divide(a,b)),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))))))) = divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(97,plain,
divide(divide(a,divide(a,b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(a,divide(a,b)),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))))))) = divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),
inference(unit_resolution,[status(thm)],[96,17]) ).
tff(98,plain,
divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)) = a,
inference(transitivity,[status(thm)],[49,95,63,19]) ).
tff(99,plain,
divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(b,b),b),divide(divide(b,b),b))) = divide(a,divide(b,divide(a,divide(a,b)))),
inference(monotonicity,[status(thm)],[98,93]) ).
tff(100,plain,
divide(a,divide(b,divide(a,divide(a,b)))) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(b,b),b),divide(divide(b,b),b))),
inference(symmetry,[status(thm)],[99]) ).
tff(101,plain,
a = divide(a,divide(b,divide(a,divide(a,b)))),
inference(symmetry,[status(thm)],[33]) ).
tff(102,plain,
divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(b,b),b),divide(divide(b,b),b))),
inference(transitivity,[status(thm)],[49,95,63,19,101,100]) ).
tff(103,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))) = divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),
inference(monotonicity,[status(thm)],[102]) ).
tff(104,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))),
inference(monotonicity,[status(thm)],[103]) ).
tff(105,plain,
divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))))) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))),
inference(monotonicity,[status(thm)],[104]) ).
tff(106,plain,
divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))))),
inference(symmetry,[status(thm)],[105]) ).
tff(107,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(108,plain,
divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),
inference(unit_resolution,[status(thm)],[107,17]) ).
tff(109,plain,
divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))),
inference(symmetry,[status(thm)],[108]) ).
tff(110,plain,
divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))))),
inference(transitivity,[status(thm)],[109,106]) ).
tff(111,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))) = divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)))))),
inference(monotonicity,[status(thm)],[110]) ).
tff(112,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)))))) = divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))),
inference(symmetry,[status(thm)],[111]) ).
tff(113,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)))))) = divide(divide(divide(b,b),b),divide(divide(b,b),b)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(114,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)))))) = divide(divide(divide(b,b),b),divide(divide(b,b),b)),
inference(unit_resolution,[status(thm)],[113,17]) ).
tff(115,plain,
divide(divide(divide(b,b),b),divide(divide(b,b),b)) = divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)))))),
inference(symmetry,[status(thm)],[114]) ).
tff(116,plain,
divide(divide(a,a),a) = inverse(a),
inference(symmetry,[status(thm)],[45]) ).
tff(117,plain,
divide(divide(a,a),divide(a,divide(b,divide(a,divide(a,b))))) = divide(divide(a,a),a),
inference(monotonicity,[status(thm)],[33]) ).
tff(118,plain,
divide(divide(a,a),divide(a,divide(b,divide(a,divide(a,b))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(b,divide(a,divide(a,b))))),
inference(transitivity,[status(thm)],[117,116,30,64]) ).
tff(119,plain,
divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),divide(a,divide(b,divide(a,divide(a,b)))))) = divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(b,divide(a,divide(a,b)))))),
inference(monotonicity,[status(thm)],[118]) ).
tff(120,plain,
divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),divide(a,divide(b,divide(a,divide(a,b)))))) = divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),
inference(transitivity,[status(thm)],[119,48]) ).
tff(121,plain,
divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),divide(a,divide(b,divide(a,divide(a,b))))))) = divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))),
inference(monotonicity,[status(thm)],[120]) ).
tff(122,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),divide(a,divide(b,divide(a,divide(a,b))))))) = divide(a,a) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(123,plain,
divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),divide(a,divide(b,divide(a,divide(a,b))))))) = divide(a,a),
inference(unit_resolution,[status(thm)],[122,17]) ).
tff(124,plain,
divide(a,a) = divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),divide(a,divide(b,divide(a,divide(a,b))))))),
inference(symmetry,[status(thm)],[123]) ).
tff(125,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(a,divide(a,b)),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))) = a ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(126,plain,
divide(divide(a,divide(a,b)),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))) = a,
inference(unit_resolution,[status(thm)],[125,17]) ).
tff(127,plain,
divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(a,divide(a,b)),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))))) = divide(a,a),
inference(monotonicity,[status(thm)],[98,126]) ).
tff(128,plain,
divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(a,divide(a,b)),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))))) = divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))),
inference(transitivity,[status(thm)],[127,124,121,50,53,115,112]) ).
tff(129,plain,
divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(a,divide(a,b)),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))))) = divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))),
inference(monotonicity,[status(thm)],[128]) ).
tff(130,plain,
divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))) = divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(a,divide(a,b)),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))))),
inference(symmetry,[status(thm)],[129]) ).
tff(131,plain,
divide(divide(divide(b,b),b),divide(divide(b,b),b)) = divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))),
inference(transitivity,[status(thm)],[115,112]) ).
tff(132,plain,
divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,b),b),divide(divide(b,b),b))) = divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))),
inference(monotonicity,[status(thm)],[131]) ).
tff(133,plain,
divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,b),b),divide(divide(b,b),b))) = divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(a,divide(a,b)),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))))),
inference(transitivity,[status(thm)],[132,130]) ).
tff(134,plain,
divide(divide(a,divide(a,b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,b),b),divide(divide(b,b),b)))) = divide(divide(a,divide(a,b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(a,divide(a,b)),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))))))),
inference(monotonicity,[status(thm)],[133]) ).
tff(135,plain,
divide(divide(a,divide(a,b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,b),b),divide(divide(b,b),b)))) = a,
inference(transitivity,[status(thm)],[134,97,49,95,63,19]) ).
tff(136,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,b),b),divide(divide(b,b),b))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),
inference(monotonicity,[status(thm)],[135]) ).
tff(137,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,b),b),divide(divide(b,b),b))))),
inference(symmetry,[status(thm)],[136]) ).
tff(138,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(139,plain,
divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),
inference(unit_resolution,[status(thm)],[138,17]) ).
tff(140,plain,
divide(b,divide(a,divide(a,b))) = divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b))))))),
inference(symmetry,[status(thm)],[68]) ).
tff(141,plain,
inverse(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))) = inverse(a),
inference(monotonicity,[status(thm)],[98]) ).
tff(142,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))) = divide(divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(143,plain,
inverse(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))) = divide(divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))),
inference(unit_resolution,[status(thm)],[142,26]) ).
tff(144,plain,
divide(divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))) = inverse(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))),
inference(symmetry,[status(thm)],[143]) ).
tff(145,plain,
a = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))),
inference(symmetry,[status(thm)],[19]) ).
tff(146,plain,
divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(b,b),b),divide(divide(b,b),b))) = divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),
inference(transitivity,[status(thm)],[99,33,145,62,94,48]) ).
tff(147,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a) = divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),a),
inference(transitivity,[status(thm)],[31,28]) ).
tff(148,plain,
divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)) = divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),a)),
inference(monotonicity,[status(thm)],[147]) ).
tff(149,plain,
divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),a)) = divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)),
inference(symmetry,[status(thm)],[148]) ).
tff(150,plain,
divide(divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),a)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))) = divide(divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))),
inference(monotonicity,[status(thm)],[149,146]) ).
tff(151,plain,
divide(divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),a)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))) = divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),a),
inference(transitivity,[status(thm)],[150,144,141,28]) ).
tff(152,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),a)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),a)),
inference(monotonicity,[status(thm)],[151]) ).
tff(153,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),a)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))) = a,
inference(transitivity,[status(thm)],[152,63,19]) ).
tff(154,plain,
divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),a)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(a,a),
inference(monotonicity,[status(thm)],[98,153]) ).
tff(155,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),a)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),a)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(156,plain,
divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),a)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),a)),
inference(unit_resolution,[status(thm)],[155,17]) ).
tff(157,plain,
divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),a)) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,divide(a,divide(a,b))),divide(b,divide(a,divide(a,b)))),a)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))),
inference(symmetry,[status(thm)],[156]) ).
tff(158,plain,
divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)) = divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),
inference(transitivity,[status(thm)],[148,157,154,124,121,43]) ).
tff(159,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),
inference(monotonicity,[status(thm)],[158]) ).
tff(160,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))) = divide(divide(divide(b,b),b),divide(divide(b,b),b)),
inference(transitivity,[status(thm)],[159,35,140,89,85,78]) ).
tff(161,plain,
divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))) = divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,b),b),divide(divide(b,b),b))),
inference(monotonicity,[status(thm)],[160]) ).
tff(162,plain,
divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,b),b),divide(divide(b,b),b))) = divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),
inference(symmetry,[status(thm)],[161]) ).
tff(163,plain,
divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)) = divide(divide(divide(b,b),b),divide(divide(b,b),b)),
inference(transitivity,[status(thm)],[148,157,154,124,121,50,53]) ).
tff(164,plain,
divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))) = divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,b),b),divide(divide(b,b),b))),
inference(monotonicity,[status(thm)],[163]) ).
tff(165,plain,
divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))) = divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),
inference(transitivity,[status(thm)],[164,162]) ).
tff(166,plain,
divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))) = divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))))),
inference(monotonicity,[status(thm)],[165]) ).
tff(167,plain,
divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))))) = divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),
inference(symmetry,[status(thm)],[166]) ).
tff(168,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))))) = divide(divide(divide(b,b),b),divide(divide(b,b),b)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(169,plain,
divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))))) = divide(divide(divide(b,b),b),divide(divide(b,b),b)),
inference(unit_resolution,[status(thm)],[168,17]) ).
tff(170,plain,
divide(divide(divide(b,b),b),divide(divide(b,b),b)) = divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))))),
inference(symmetry,[status(thm)],[169]) ).
tff(171,plain,
divide(divide(divide(b,b),b),divide(divide(b,b),b)) = divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),
inference(transitivity,[status(thm)],[170,167]) ).
tff(172,plain,
divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,b),b),divide(divide(b,b),b))) = divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))))),
inference(monotonicity,[status(thm)],[171]) ).
tff(173,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(divide(divide(b,b),b),divide(divide(b,b),b)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(174,plain,
divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(divide(divide(b,b),b),divide(divide(b,b),b)),
inference(unit_resolution,[status(thm)],[173,17]) ).
tff(175,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(b,divide(divide(a,divide(a,b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = b ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(176,plain,
divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(b,divide(divide(a,divide(a,b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = b,
inference(unit_resolution,[status(thm)],[175,17]) ).
tff(177,plain,
divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))) = divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),divide(a,divide(b,divide(a,divide(a,b))))))),
inference(symmetry,[status(thm)],[121]) ).
tff(178,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(b,divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(b,divide(a,divide(a,b)))))) = divide(divide(divide(b,b),b),divide(divide(b,b),b)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(179,plain,
divide(b,divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(b,divide(a,divide(a,b)))))) = divide(divide(divide(b,b),b),divide(divide(b,b),b)),
inference(unit_resolution,[status(thm)],[178,17]) ).
tff(180,plain,
divide(b,divide(a,divide(a,b))) = divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),
inference(transitivity,[status(thm)],[140,89,85,78,54,51,43]) ).
tff(181,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(b,divide(a,divide(a,b)))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),
inference(monotonicity,[status(thm)],[180]) ).
tff(182,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(b,divide(a,divide(a,b)))) = divide(a,a),
inference(transitivity,[status(thm)],[181,35,140,89,85,78,54,51,177,123]) ).
tff(183,plain,
divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(b,divide(a,divide(a,b))))) = divide(divide(a,divide(a,b)),divide(a,a)),
inference(monotonicity,[status(thm)],[182]) ).
tff(184,plain,
divide(divide(a,divide(a,b)),divide(a,a)) = divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(b,divide(a,divide(a,b))))),
inference(symmetry,[status(thm)],[183]) ).
tff(185,plain,
divide(divide(divide(b,b),b),divide(divide(b,b),b)) = divide(a,a),
inference(transitivity,[status(thm)],[54,51,177,123]) ).
tff(186,plain,
divide(divide(a,divide(a,b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))) = divide(divide(a,divide(a,b)),divide(a,a)),
inference(monotonicity,[status(thm)],[185]) ).
tff(187,plain,
divide(divide(a,divide(a,b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))) = divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(b,divide(a,divide(a,b))))),
inference(transitivity,[status(thm)],[186,184]) ).
tff(188,plain,
divide(b,divide(divide(a,divide(a,b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))) = divide(b,divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(b,divide(a,divide(a,b)))))),
inference(monotonicity,[status(thm)],[187]) ).
tff(189,plain,
divide(b,divide(divide(a,divide(a,b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))) = divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),
inference(transitivity,[status(thm)],[188,179,54,51,43]) ).
tff(190,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(b,divide(divide(a,divide(a,b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),
inference(monotonicity,[status(thm)],[189]) ).
tff(191,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(b,divide(divide(a,divide(a,b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))) = divide(a,a),
inference(transitivity,[status(thm)],[190,35,140,89,85,78,54,51,177,123]) ).
tff(192,plain,
divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(b,divide(divide(a,divide(a,b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(divide(a,divide(a,b)),divide(a,a)),
inference(monotonicity,[status(thm)],[191]) ).
tff(193,plain,
divide(divide(a,divide(a,b)),divide(a,a)) = divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(b,divide(divide(a,divide(a,b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))),
inference(symmetry,[status(thm)],[192]) ).
tff(194,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))),
inference(symmetry,[status(thm)],[56]) ).
tff(195,plain,
divide(b,divide(a,divide(a,b))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),
inference(symmetry,[status(thm)],[35]) ).
tff(196,plain,
divide(a,a) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))),
inference(transitivity,[status(thm)],[124,121,50,53,92,91,90,68,195,194]) ).
tff(197,plain,
divide(divide(a,divide(a,b)),divide(a,a)) = divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),
inference(monotonicity,[status(thm)],[196]) ).
tff(198,plain,
divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))) = divide(divide(a,divide(a,b)),divide(a,a)),
inference(symmetry,[status(thm)],[197]) ).
tff(199,plain,
divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))) = b,
inference(transitivity,[status(thm)],[198,193,176]) ).
tff(200,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))) = divide(divide(a,a),b),
inference(monotonicity,[status(thm)],[185,199]) ).
tff(201,plain,
divide(divide(a,a),b) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))),
inference(symmetry,[status(thm)],[200]) ).
tff(202,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(b) = divide(divide(a,a),b) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(203,plain,
inverse(b) = divide(divide(a,a),b),
inference(unit_resolution,[status(thm)],[202,26]) ).
tff(204,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(b) = divide(divide(b,b),b) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(205,plain,
inverse(b) = divide(divide(b,b),b),
inference(unit_resolution,[status(thm)],[204,26]) ).
tff(206,plain,
divide(divide(b,b),b) = inverse(b),
inference(symmetry,[status(thm)],[205]) ).
tff(207,plain,
divide(divide(b,b),b) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))),
inference(transitivity,[status(thm)],[206,203,201]) ).
tff(208,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))),
inference(monotonicity,[status(thm)],[207]) ).
tff(209,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)),
inference(symmetry,[status(thm)],[208]) ).
tff(210,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(a,divide(a,b)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(211,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(a,divide(a,b)),
inference(unit_resolution,[status(thm)],[210,17]) ).
tff(212,plain,
divide(a,divide(a,b)) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))),
inference(symmetry,[status(thm)],[211]) ).
tff(213,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))))) = divide(a,divide(a,b)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(214,plain,
divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))))) = divide(a,divide(a,b)),
inference(unit_resolution,[status(thm)],[213,17]) ).
tff(215,plain,
b = divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(b,divide(divide(a,divide(a,b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))),
inference(symmetry,[status(thm)],[176]) ).
tff(216,plain,
b = divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(b,divide(a,divide(a,b))))),
inference(transitivity,[status(thm)],[215,192,184]) ).
tff(217,plain,
divide(b,b) = divide(b,divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(b,divide(a,divide(a,b)))))),
inference(monotonicity,[status(thm)],[216]) ).
tff(218,plain,
divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))) = divide(b,b),
inference(monotonicity,[status(thm)],[199,199]) ).
tff(219,plain,
divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))) = divide(a,a),
inference(transitivity,[status(thm)],[218,217,179,54,51,177,123]) ).
tff(220,plain,
divide(divide(a,divide(a,b)),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(divide(a,divide(a,b)),divide(a,a)),
inference(monotonicity,[status(thm)],[219]) ).
tff(221,plain,
divide(divide(a,divide(a,b)),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = b,
inference(transitivity,[status(thm)],[220,193,176]) ).
tff(222,plain,
divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))))) = divide(b,b),
inference(monotonicity,[status(thm)],[199,221]) ).
tff(223,plain,
divide(b,b) = divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))))),
inference(symmetry,[status(thm)],[222]) ).
tff(224,plain,
divide(b,divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(b,divide(a,divide(a,b)))))) = divide(b,b),
inference(symmetry,[status(thm)],[217]) ).
tff(225,plain,
divide(divide(divide(b,b),b),divide(divide(b,b),b)) = divide(b,divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(b,divide(a,divide(a,b)))))),
inference(symmetry,[status(thm)],[179]) ).
tff(226,plain,
divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))) = divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))))),
inference(transitivity,[status(thm)],[218,223]) ).
tff(227,plain,
divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))))),
inference(monotonicity,[status(thm)],[226]) ).
tff(228,plain,
divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(a,divide(a,b)),
inference(transitivity,[status(thm)],[227,214]) ).
tff(229,plain,
divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))))) = divide(b,divide(a,divide(a,b))),
inference(monotonicity,[status(thm)],[199,228]) ).
tff(230,plain,
divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))))) = divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))))),
inference(transitivity,[status(thm)],[229,140,89,85,78,225,224,223]) ).
tff(231,plain,
divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))))) = divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))))),
inference(monotonicity,[status(thm)],[230]) ).
tff(232,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))))) = divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(233,plain,
divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))))) = divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),
inference(unit_resolution,[status(thm)],[232,17]) ).
tff(234,plain,
divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))) = divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))))),
inference(symmetry,[status(thm)],[233]) ).
tff(235,plain,
divide(divide(a,divide(a,b)),divide(a,a)) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)),
inference(transitivity,[status(thm)],[197,234,231,214,212,209]) ).
tff(236,plain,
a = divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),
inference(transitivity,[status(thm)],[145,62,94,48]) ).
tff(237,plain,
divide(a,divide(divide(a,divide(a,b)),divide(a,a))) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),
inference(monotonicity,[status(thm)],[236,235]) ).
tff(238,plain,
divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))) = divide(a,divide(divide(a,divide(a,b)),divide(a,a))),
inference(symmetry,[status(thm)],[237]) ).
tff(239,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))))))) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(240,plain,
divide(divide(divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))))))) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),
inference(unit_resolution,[status(thm)],[239,17]) ).
tff(241,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(242,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),
inference(unit_resolution,[status(thm)],[241,17]) ).
tff(243,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)))))) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(244,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)))))) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),
inference(unit_resolution,[status(thm)],[243,17]) ).
tff(245,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))))) = divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(246,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))))) = divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),
inference(unit_resolution,[status(thm)],[245,17]) ).
tff(247,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))) = divide(b,divide(a,divide(a,b))),
inference(transitivity,[status(thm)],[111,114,92,91,90,68]) ).
tff(248,plain,
divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))) = divide(a,divide(b,divide(a,divide(a,b)))),
inference(monotonicity,[status(thm)],[98,247]) ).
tff(249,plain,
divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(b,b),b),divide(divide(b,b),b))),
inference(transitivity,[status(thm)],[248,100]) ).
tff(250,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))))) = divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),
inference(monotonicity,[status(thm)],[249]) ).
tff(251,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))) = divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))))),
inference(symmetry,[status(thm)],[250]) ).
tff(252,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))) = divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))))),
inference(transitivity,[status(thm)],[103,251]) ).
tff(253,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)))) = divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))))),
inference(monotonicity,[status(thm)],[252]) ).
tff(254,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)))) = a,
inference(transitivity,[status(thm)],[253,246,49,95,63,19]) ).
tff(255,plain,
divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))))) = divide(a,a),
inference(monotonicity,[status(thm)],[98,254]) ).
tff(256,plain,
divide(a,a) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))))),
inference(symmetry,[status(thm)],[255]) ).
tff(257,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))))),
inference(transitivity,[status(thm)],[56,35,140,89,85,78,54,51,177,123,256]) ).
tff(258,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))) = divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)))))),
inference(monotonicity,[status(thm)],[257]) ).
tff(259,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))) = divide(a,divide(divide(a,divide(a,b)),divide(a,a))),
inference(transitivity,[status(thm)],[258,244,238]) ).
tff(260,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),
inference(monotonicity,[status(thm)],[259]) ).
tff(261,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))),
inference(symmetry,[status(thm)],[260]) ).
tff(262,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(a,divide(divide(a,divide(a,b)),divide(a,a)))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(263,plain,
inverse(divide(a,divide(divide(a,divide(a,b)),divide(a,a)))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),
inference(unit_resolution,[status(thm)],[262,26]) ).
tff(264,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(a,divide(divide(a,divide(a,b)),divide(a,a)))) = divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(265,plain,
inverse(divide(a,divide(divide(a,divide(a,b)),divide(a,a)))) = divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),
inference(unit_resolution,[status(thm)],[264,26]) ).
tff(266,plain,
divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))) = inverse(divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),
inference(symmetry,[status(thm)],[265]) ).
tff(267,plain,
divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))),
inference(transitivity,[status(thm)],[266,263,261]) ).
tff(268,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))),
inference(monotonicity,[status(thm)],[267]) ).
tff(269,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(270,plain,
inverse(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))),
inference(unit_resolution,[status(thm)],[269,26]) ).
tff(271,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))) = divide(divide(divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(272,plain,
inverse(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))) = divide(divide(divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))),
inference(unit_resolution,[status(thm)],[271,26]) ).
tff(273,plain,
divide(divide(divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))) = inverse(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))),
inference(symmetry,[status(thm)],[272]) ).
tff(274,plain,
divide(divide(divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))))),
inference(transitivity,[status(thm)],[273,270,268,242,109,106]) ).
tff(275,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))))) = divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)))))),
inference(monotonicity,[status(thm)],[274]) ).
tff(276,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))))) = divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))),
inference(transitivity,[status(thm)],[275,112]) ).
tff(277,plain,
divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))))) = divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))),
inference(monotonicity,[status(thm)],[276]) ).
tff(278,plain,
divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))) = divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))))),
inference(symmetry,[status(thm)],[277]) ).
tff(279,plain,
divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,b),b),divide(divide(b,b),b))) = divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))))),
inference(transitivity,[status(thm)],[132,278]) ).
tff(280,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))))) = divide(divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(281,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))))) = divide(divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),
inference(unit_resolution,[status(thm)],[280,17]) ).
tff(282,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))) = inverse(divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),
inference(symmetry,[status(thm)],[263]) ).
tff(283,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),
inference(monotonicity,[status(thm)],[238]) ).
tff(284,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))) = divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),
inference(transitivity,[status(thm)],[283,282,265]) ).
tff(285,plain,
divide(divide(divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))) = divide(divide(divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))),
inference(monotonicity,[status(thm)],[284]) ).
tff(286,plain,
divide(divide(divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))))),
inference(transitivity,[status(thm)],[285,273,270,268,242,109,106]) ).
tff(287,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))))) = divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)))))),
inference(monotonicity,[status(thm)],[286]) ).
tff(288,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))))) = divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),
inference(transitivity,[status(thm)],[287,114,54,51,43]) ).
tff(289,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),
inference(monotonicity,[status(thm)],[288]) ).
tff(290,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(divide(b,divide(a,divide(a,b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))))),
inference(symmetry,[status(thm)],[289]) ).
tff(291,plain,
divide(divide(divide(b,b),b),divide(divide(b,b),b)) = divide(divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),
inference(transitivity,[status(thm)],[92,91,90,68,195,290,281]) ).
tff(292,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,b),b),divide(divide(b,b),b)))) = divide(divide(divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))))))),
inference(monotonicity,[status(thm)],[291,279]) ).
tff(293,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,b),b),divide(divide(b,b),b)))) = divide(a,divide(divide(a,divide(a,b)),divide(a,a))),
inference(transitivity,[status(thm)],[292,240,238]) ).
tff(294,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,b),b),divide(divide(b,b),b))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),
inference(monotonicity,[status(thm)],[293]) ).
tff(295,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,b),b),divide(divide(b,b),b))))),
inference(symmetry,[status(thm)],[294]) ).
tff(296,plain,
divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,b),b),divide(divide(b,b),b))))),
inference(transitivity,[status(thm)],[266,263,295]) ).
tff(297,plain,
divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))) = divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))),
inference(monotonicity,[status(thm)],[296]) ).
tff(298,plain,
divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))) = divide(divide(divide(b,b),b),divide(divide(b,b),b)),
inference(transitivity,[status(thm)],[297,174]) ).
tff(299,plain,
divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))))) = divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,b),b),divide(divide(b,b),b))),
inference(monotonicity,[status(thm)],[298]) ).
tff(300,plain,
divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,b),b),divide(divide(b,b),b))))),
inference(transitivity,[status(thm)],[299,172,139,137]) ).
tff(301,plain,
divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))))) = divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))),
inference(monotonicity,[status(thm)],[300]) ).
tff(302,plain,
divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))))),
inference(symmetry,[status(thm)],[301]) ).
tff(303,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(a,divide(a,b)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(304,plain,
divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(a,divide(a,b)),
inference(unit_resolution,[status(thm)],[303,17]) ).
tff(305,plain,
divide(a,divide(a,b)) = divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))),
inference(symmetry,[status(thm)],[304]) ).
tff(306,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(a,divide(divide(a,a),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(a,divide(a,b)),divide(divide(a,divide(divide(a,a),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))))) = divide(a,divide(a,b)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(307,plain,
divide(divide(a,divide(divide(a,a),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(a,divide(a,b)),divide(divide(a,divide(divide(a,a),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))))) = divide(a,divide(a,b)),
inference(unit_resolution,[status(thm)],[306,17]) ).
tff(308,plain,
divide(divide(a,a),b) = inverse(b),
inference(symmetry,[status(thm)],[203]) ).
tff(309,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))) = divide(divide(b,b),b),
inference(transitivity,[status(thm)],[200,308,205]) ).
tff(310,plain,
divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(divide(divide(b,b),b),divide(divide(b,b),b)),
inference(monotonicity,[status(thm)],[309]) ).
tff(311,plain,
divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))))),
inference(transitivity,[status(thm)],[310,225,224,223]) ).
tff(312,plain,
divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))))) = divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))))),
inference(monotonicity,[status(thm)],[311]) ).
tff(313,plain,
divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))))) = divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))))),
inference(symmetry,[status(thm)],[312]) ).
tff(314,plain,
divide(a,divide(a,b)) = divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))))),
inference(symmetry,[status(thm)],[214]) ).
tff(315,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(a,divide(a,divide(divide(a,divide(a,b)),divide(a,a)))) = divide(a,divide(a,b)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(316,plain,
divide(a,divide(a,divide(divide(a,divide(a,b)),divide(a,a)))) = divide(a,divide(a,b)),
inference(unit_resolution,[status(thm)],[315,17]) ).
tff(317,plain,
divide(divide(divide(b,b),b),divide(divide(b,b),b)) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))))),
inference(transitivity,[status(thm)],[54,51,177,123,256]) ).
tff(318,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(b,b),b))) = divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)))))),
inference(monotonicity,[status(thm)],[317]) ).
tff(319,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(b,b),b))) = divide(a,divide(divide(a,divide(a,b)),divide(a,a))),
inference(transitivity,[status(thm)],[318,244,238]) ).
tff(320,plain,
divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(b,b),b)))) = divide(a,divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),
inference(monotonicity,[status(thm)],[98,319]) ).
tff(321,plain,
divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(b,b),b)))) = divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))))),
inference(transitivity,[status(thm)],[320,316,314,313]) ).
tff(322,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(b,b),b))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))))),
inference(monotonicity,[status(thm)],[321]) ).
tff(323,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(b,b),b))))),
inference(symmetry,[status(thm)],[322]) ).
tff(324,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))))) = divide(divide(b,b),b) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(325,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))))) = divide(divide(b,b),b),
inference(unit_resolution,[status(thm)],[324,17]) ).
tff(326,plain,
divide(divide(b,b),b) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))))),
inference(symmetry,[status(thm)],[325]) ).
tff(327,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(a,divide(a,b)),divide(divide(a,divide(divide(a,a),b)),divide(divide(divide(b,b),b),divide(divide(a,divide(a,b)),divide(a,divide(divide(a,a),b)))))) = divide(divide(b,b),b) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(328,plain,
divide(divide(a,divide(a,b)),divide(divide(a,divide(divide(a,a),b)),divide(divide(divide(b,b),b),divide(divide(a,divide(a,b)),divide(a,divide(divide(a,a),b)))))) = divide(divide(b,b),b),
inference(unit_resolution,[status(thm)],[327,17]) ).
tff(329,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(330,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),
inference(unit_resolution,[status(thm)],[329,17]) ).
tff(331,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(divide(b,b),b),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))))) = divide(divide(b,b),b) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(332,plain,
divide(divide(divide(b,b),b),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))))) = divide(divide(b,b),b),
inference(unit_resolution,[status(thm)],[331,17]) ).
tff(333,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(b,b),b))))) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(334,plain,
divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(b,b),b))))) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),
inference(unit_resolution,[status(thm)],[333,17]) ).
tff(335,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)))))) = divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(b,b),b))),
inference(symmetry,[status(thm)],[318]) ).
tff(336,plain,
divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))) = divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)))))),
inference(symmetry,[status(thm)],[244]) ).
tff(337,plain,
divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))) = divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(b,b),b))),
inference(transitivity,[status(thm)],[336,335]) ).
tff(338,plain,
divide(divide(divide(b,b),b),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))) = divide(divide(divide(b,b),b),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),
inference(monotonicity,[status(thm)],[337]) ).
tff(339,plain,
divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))) = divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(b,b),b))))),
inference(monotonicity,[status(thm)],[338]) ).
tff(340,plain,
divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))))),
inference(transitivity,[status(thm)],[339,334,109,106]) ).
tff(341,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))))) = divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)))))),
inference(monotonicity,[status(thm)],[340]) ).
tff(342,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)))))) = divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))))),
inference(symmetry,[status(thm)],[341]) ).
tff(343,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))) = divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))))),
inference(transitivity,[status(thm)],[111,342]) ).
tff(344,plain,
divide(divide(divide(b,b),b),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))) = divide(divide(divide(b,b),b),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))))),
inference(monotonicity,[status(thm)],[343]) ).
tff(345,plain,
divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(b,b),b))) = divide(divide(divide(b,b),b),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))),
inference(monotonicity,[status(thm)],[131]) ).
tff(346,plain,
divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(b,b),b))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(b,b),b))))),
inference(transitivity,[status(thm)],[345,344,332,326,323]) ).
tff(347,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(b,b),b)))) = divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))),
inference(monotonicity,[status(thm)],[346]) ).
tff(348,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(b,b),b)))) = a,
inference(transitivity,[status(thm)],[347,330,49,95,63,19]) ).
tff(349,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(b,b),b))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),
inference(monotonicity,[status(thm)],[348]) ).
tff(350,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(b,b),b))))),
inference(symmetry,[status(thm)],[349]) ).
tff(351,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(a,divide(a,b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(a,divide(a,b)),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(352,plain,
divide(divide(a,divide(a,b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(a,divide(a,b)),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),
inference(unit_resolution,[status(thm)],[351,17]) ).
tff(353,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,b),b),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))))) = divide(divide(b,b),b) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(354,plain,
divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,b),b),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))))) = divide(divide(b,b),b),
inference(unit_resolution,[status(thm)],[353,17]) ).
tff(355,plain,
divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,b),b),divide(divide(b,b),b))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,b),b),divide(divide(b,b),b))))),
inference(transitivity,[status(thm)],[172,139,137]) ).
tff(356,plain,
divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,b),b),divide(divide(b,b),b)))) = divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))),
inference(monotonicity,[status(thm)],[355]) ).
tff(357,plain,
divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,b),b),divide(divide(b,b),b)))) = divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))))),
inference(transitivity,[status(thm)],[356,304,314,313]) ).
tff(358,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,b),b),divide(divide(b,b),b))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))))),
inference(monotonicity,[status(thm)],[357]) ).
tff(359,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,b),b),divide(divide(b,b),b))))),
inference(symmetry,[status(thm)],[358]) ).
tff(360,plain,
divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)) = divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))),
inference(transitivity,[status(thm)],[148,157,154,124,121,50,53,115,112]) ).
tff(361,plain,
divide(divide(divide(b,b),b),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))) = divide(divide(divide(b,b),b),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))),
inference(monotonicity,[status(thm)],[360]) ).
tff(362,plain,
divide(divide(divide(b,b),b),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,b),b),divide(divide(b,b),b))))),
inference(transitivity,[status(thm)],[361,344,332,326,359]) ).
tff(363,plain,
divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,b),b),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))) = divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))),
inference(monotonicity,[status(thm)],[362]) ).
tff(364,plain,
divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,b),b),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),
inference(symmetry,[status(thm)],[363]) ).
tff(365,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(366,plain,
divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),
inference(unit_resolution,[status(thm)],[365,17]) ).
tff(367,plain,
divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))) = divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))),
inference(symmetry,[status(thm)],[366]) ).
tff(368,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(a,divide(a,b)),divide(divide(a,divide(a,b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(a,divide(a,b)),divide(a,divide(a,b)))))) = divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(369,plain,
divide(divide(a,divide(a,b)),divide(divide(a,divide(a,b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(a,divide(a,b)),divide(a,divide(a,b)))))) = divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),
inference(unit_resolution,[status(thm)],[368,17]) ).
tff(370,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(divide(divide(b,b),b),divide(divide(b,b),b)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(371,plain,
divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(divide(divide(b,b),b),divide(divide(b,b),b)),
inference(unit_resolution,[status(thm)],[370,17]) ).
tff(372,plain,
divide(divide(a,divide(a,b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))) = b,
inference(transitivity,[status(thm)],[186,193,176]) ).
tff(373,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))) = divide(divide(a,a),b),
inference(monotonicity,[status(thm)],[185,372]) ).
tff(374,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))),
inference(transitivity,[status(thm)],[373,201]) ).
tff(375,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))),
inference(monotonicity,[status(thm)],[374]) ).
tff(376,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))),
inference(symmetry,[status(thm)],[375]) ).
tff(377,plain,
divide(a,divide(a,b)) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(b,b),b),divide(divide(b,b),b))))),
inference(transitivity,[status(thm)],[212,376]) ).
tff(378,plain,
divide(divide(a,divide(a,b)),divide(a,divide(a,b))) = divide(divide(a,divide(a,b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(a,divide(a,b)),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))),
inference(monotonicity,[status(thm)],[377]) ).
tff(379,plain,
divide(divide(a,divide(a,b)),divide(a,divide(a,b))) = divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))),
inference(transitivity,[status(thm)],[378,371,115,112]) ).
tff(380,plain,
divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(a,divide(a,b)),divide(a,divide(a,b)))) = divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))),
inference(monotonicity,[status(thm)],[379]) ).
tff(381,plain,
divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(a,divide(a,b)),divide(a,divide(a,b)))) = divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(a,divide(a,b)),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))))),
inference(transitivity,[status(thm)],[380,130]) ).
tff(382,plain,
divide(divide(a,divide(a,b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(a,divide(a,b)),divide(a,divide(a,b))))) = divide(divide(a,divide(a,b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(a,divide(a,b)),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))))))),
inference(monotonicity,[status(thm)],[381]) ).
tff(383,plain,
divide(divide(a,divide(a,b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(a,divide(a,b)),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))))))) = divide(divide(a,divide(a,b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(a,divide(a,b)),divide(a,divide(a,b))))),
inference(symmetry,[status(thm)],[382]) ).
tff(384,plain,
divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)) = divide(divide(a,divide(a,b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(a,divide(a,b)),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))))))),
inference(symmetry,[status(thm)],[97]) ).
tff(385,plain,
divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)) = divide(divide(a,divide(a,b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(a,divide(a,b)),divide(a,divide(a,b))))),
inference(transitivity,[status(thm)],[384,383]) ).
tff(386,plain,
divide(divide(a,divide(a,b)),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))) = divide(divide(a,divide(a,b)),divide(divide(a,divide(a,b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(a,divide(a,b)),divide(a,divide(a,b)))))),
inference(monotonicity,[status(thm)],[385]) ).
tff(387,plain,
divide(divide(a,divide(a,b)),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))) = divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,b),b),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)))),
inference(transitivity,[status(thm)],[386,369,367,364]) ).
tff(388,plain,
divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(a,divide(a,b)),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)))) = divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(b,b),b),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a))))),
inference(monotonicity,[status(thm)],[387]) ).
tff(389,plain,
divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(a,divide(a,b)),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)))) = divide(divide(a,a),b),
inference(transitivity,[status(thm)],[388,354,206,203]) ).
tff(390,plain,
divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(a,divide(a,b)),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))))) = divide(a,divide(divide(a,a),b)),
inference(monotonicity,[status(thm)],[98,389]) ).
tff(391,plain,
divide(a,divide(divide(a,a),b)) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(a,divide(a,b)),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a))))),
inference(symmetry,[status(thm)],[390]) ).
tff(392,plain,
divide(divide(a,divide(a,b)),divide(a,divide(divide(a,a),b))) = divide(divide(a,divide(a,b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(a,divide(a,b)),divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)))))),
inference(monotonicity,[status(thm)],[391]) ).
tff(393,plain,
divide(divide(a,divide(a,b)),divide(a,divide(divide(a,a),b))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(b,b),b))))),
inference(transitivity,[status(thm)],[392,352,350]) ).
tff(394,plain,
divide(divide(divide(b,b),b),divide(divide(a,divide(a,b)),divide(a,divide(divide(a,a),b)))) = divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))),
inference(monotonicity,[status(thm)],[393]) ).
tff(395,plain,
divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(divide(divide(b,b),b),divide(divide(a,divide(a,b)),divide(a,divide(divide(a,a),b)))),
inference(symmetry,[status(thm)],[394]) ).
tff(396,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(397,plain,
divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),
inference(unit_resolution,[status(thm)],[396,17]) ).
tff(398,plain,
divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))) = divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))),
inference(symmetry,[status(thm)],[397]) ).
tff(399,plain,
divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))) = divide(divide(divide(b,b),b),divide(divide(a,divide(a,b)),divide(a,divide(divide(a,a),b)))),
inference(transitivity,[status(thm)],[398,395]) ).
tff(400,plain,
divide(divide(a,divide(divide(a,a),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))) = divide(divide(a,divide(divide(a,a),b)),divide(divide(divide(b,b),b),divide(divide(a,divide(a,b)),divide(a,divide(divide(a,a),b))))),
inference(monotonicity,[status(thm)],[399]) ).
tff(401,plain,
divide(divide(a,divide(a,b)),divide(divide(a,divide(divide(a,a),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))) = divide(divide(a,divide(a,b)),divide(divide(a,divide(divide(a,a),b)),divide(divide(divide(b,b),b),divide(divide(a,divide(a,b)),divide(a,divide(divide(a,a),b)))))),
inference(monotonicity,[status(thm)],[400]) ).
tff(402,plain,
divide(divide(a,divide(a,b)),divide(divide(a,divide(divide(a,a),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(b,b),b))))),
inference(transitivity,[status(thm)],[401,328,326,323]) ).
tff(403,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(a,divide(a,b)),divide(divide(a,divide(divide(a,a),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))))) = divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))),
inference(monotonicity,[status(thm)],[402]) ).
tff(404,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))) = divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(a,divide(a,b)),divide(divide(a,divide(divide(a,a),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))))),
inference(symmetry,[status(thm)],[403]) ).
tff(405,plain,
divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)) = divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(divide(b,b),b),divide(divide(b,b),b)))))),
inference(symmetry,[status(thm)],[330]) ).
tff(406,plain,
divide(divide(a,divide(a,b)),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))) = divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(a,divide(a,b)),divide(divide(a,divide(divide(a,a),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))))),
inference(transitivity,[status(thm)],[126,145,62,94,48,405,404]) ).
tff(407,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))) = divide(divide(b,b),b) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(408,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))) = divide(divide(b,b),b),
inference(unit_resolution,[status(thm)],[407,17]) ).
tff(409,plain,
divide(divide(b,b),b) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))),
inference(symmetry,[status(thm)],[408]) ).
tff(410,plain,
divide(divide(a,a),b) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))),
inference(transitivity,[status(thm)],[308,205,409]) ).
tff(411,plain,
divide(a,divide(divide(a,a),b)) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))))),
inference(monotonicity,[status(thm)],[236,410]) ).
tff(412,plain,
divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))))) = divide(a,divide(divide(a,a),b)),
inference(symmetry,[status(thm)],[411]) ).
tff(413,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))))),divide(divide(a,divide(a,b)),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))))) = divide(divide(a,divide(divide(a,a),b)),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))),divide(divide(a,divide(a,b)),divide(divide(a,divide(divide(a,a),b)),divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b))))))),
inference(monotonicity,[status(thm)],[412,406]) ).
tff(414,plain,
divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))))),divide(divide(a,divide(a,b)),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))))) = divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))))),
inference(transitivity,[status(thm)],[413,307,305,302]) ).
tff(415,plain,
divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))))),divide(divide(a,divide(a,b)),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))))) = divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))))))),
inference(monotonicity,[status(thm)],[414]) ).
tff(416,plain,
divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))))))) = divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))))),divide(divide(a,divide(a,b)),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))))),
inference(symmetry,[status(thm)],[415]) ).
tff(417,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(418,plain,
divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))))))) = divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),
inference(unit_resolution,[status(thm)],[417,17]) ).
tff(419,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a) = divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))))))),
inference(symmetry,[status(thm)],[418]) ).
tff(420,plain,
divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a) = divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))))),divide(divide(a,divide(a,b)),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a))))))),
inference(transitivity,[status(thm)],[419,416]) ).
tff(421,plain,
b = divide(a,divide(a,b)),
inference(transitivity,[status(thm)],[215,192,197,234,231,214]) ).
tff(422,plain,
divide(b,divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)) = divide(divide(a,divide(a,b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))))),divide(divide(a,divide(a,b)),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))))))),
inference(monotonicity,[status(thm)],[421,420]) ).
tff(423,plain,
divide(divide(a,divide(a,b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))))),divide(divide(a,divide(a,b)),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))))))) = divide(b,divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),a)),
inference(symmetry,[status(thm)],[422]) ).
tff(424,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(A,divide(B,divide(C,divide(A,B)))) = C )
| ( divide(divide(a,divide(a,b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))))),divide(divide(a,divide(a,b)),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))))))) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(425,plain,
divide(divide(a,divide(a,b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))))),divide(divide(a,divide(a,b)),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))))))) = divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))))),
inference(unit_resolution,[status(thm)],[424,17]) ).
tff(426,plain,
divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))))) = divide(divide(a,divide(a,b)),divide(divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))),divide(divide(divide(divide(b,divide(a,divide(a,b))),divide(divide(a,a),a)),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(divide(b,b),b),divide(divide(divide(b,b),b),divide(divide(divide(divide(b,b),b),divide(divide(b,b),b)),divide(divide(b,b),b)))))),divide(divide(a,divide(a,b)),divide(divide(a,a),divide(a,divide(divide(a,divide(a,b)),divide(a,a)))))))),
inference(symmetry,[status(thm)],[425]) ).
tff(427,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(a,b) = divide(a,divide(divide(a,a),b)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(428,plain,
multiply(a,b) = divide(a,divide(divide(a,a),b)),
inference(unit_resolution,[status(thm)],[427,7]) ).
tff(429,plain,
multiply(a,b) = multiply(b,a),
inference(transitivity,[status(thm)],[428,411,426,423,10]) ).
tff(430,plain,
( ( multiply(a,b) != multiply(b,a) )
<=> ( multiply(a,b) != multiply(b,a) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(431,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).
tff(432,plain,
multiply(a,b) != multiply(b,a),
inference(modus_ponens,[status(thm)],[431,430]) ).
tff(433,plain,
$false,
inference(unit_resolution,[status(thm)],[432,429]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GRP524-1 : TPTP v9.0.0. Bugfixed v2.7.0.
% 0.08/0.14 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Jun 19 16:13:38 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.64/0.84 % SZS status Unsatisfiable
% 0.64/0.84 % SZS output start Proof
% See solution above
% 0.77/0.97 % E exiting
%------------------------------------------------------------------------------