%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRP539-1 : TPTP v9.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n011.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 05:08:03 AM UTC 2025
% Result : Unsatisfiable 0.39s 0.56s
% Output : Proof 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 74
% Syntax : Number of formulae : 391 ( 322 unt; 0 typ; 0 def)
% Number of atoms : 468 ( 463 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 137 ( 64 ~; 60 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of FOOLs : 4 ( 4 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 245 ( 236 !; 0 ?; 245 :)
% Comments :
%------------------------------------------------------------------------------
tff(multiply_type,type,
multiply: ( $i * $i ) > $i ).
tff(c3_type,type,
c3: $i ).
tff(b3_type,type,
b3: $i ).
tff(a3_type,type,
a3: $i ).
tff(divide_type,type,
divide: ( $i * $i ) > $i ).
tff(inverse_type,type,
inverse: $i > $i ).
tff(identity_type,type,
identity: $i ).
tff(1,plain,
^ [B: $i,A: $i,C: $i] :
refl(( ( divide(divide(A,B),divide(divide(A,C),B)) = C )
<=> ( divide(divide(A,B),divide(divide(A,C),B)) = C ) )),
inference(bind,[status(th)],[]) ).
tff(2,plain,
( ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
<=> ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
<=> ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C ) ),
inference(rewrite,[status(thm)],[]) ).
tff(4,axiom,
! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
tff(5,plain,
! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C ),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C ),
inference(skolemize,[status(sab)],[5]) ).
tff(7,plain,
! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C ),
inference(modus_ponens,[status(thm)],[6,2]) ).
tff(8,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(b3,b3),divide(divide(b3,b3),b3)) = b3 ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(9,plain,
divide(divide(b3,b3),divide(divide(b3,b3),b3)) = b3,
inference(unit_resolution,[status(thm)],[8,7]) ).
tff(10,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(11,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)],[10]) ).
tff(12,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(13,axiom,
! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
tff(14,plain,
! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ),
inference(modus_ponens,[status(thm)],[13,12]) ).
tff(15,plain,
! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ),
inference(skolemize,[status(sab)],[14]) ).
tff(16,plain,
! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) ),
inference(modus_ponens,[status(thm)],[15,11]) ).
tff(17,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(b3,b3),b3)) = divide(divide(b3,b3),divide(divide(b3,b3),b3)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(18,plain,
inverse(divide(divide(b3,b3),b3)) = divide(divide(b3,b3),divide(divide(b3,b3),b3)),
inference(unit_resolution,[status(thm)],[17,16]) ).
tff(19,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(b3,b3),b3)) = divide(divide(a3,a3),divide(divide(b3,b3),b3)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(20,plain,
inverse(divide(divide(b3,b3),b3)) = divide(divide(a3,a3),divide(divide(b3,b3),b3)),
inference(unit_resolution,[status(thm)],[19,16]) ).
tff(21,plain,
divide(divide(a3,a3),divide(divide(b3,b3),b3)) = inverse(divide(divide(b3,b3),b3)),
inference(symmetry,[status(thm)],[20]) ).
tff(22,plain,
divide(divide(a3,a3),divide(divide(b3,b3),b3)) = b3,
inference(transitivity,[status(thm)],[21,18,9]) ).
tff(23,plain,
divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))) = divide(b3,b3),
inference(monotonicity,[status(thm)],[22,22]) ).
tff(24,plain,
divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)) = divide(divide(b3,b3),divide(divide(b3,b3),b3)),
inference(monotonicity,[status(thm)],[23]) ).
tff(25,plain,
divide(divide(b3,b3),divide(divide(b3,b3),b3)) = divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)),
inference(symmetry,[status(thm)],[24]) ).
tff(26,plain,
divide(divide(a3,a3),divide(divide(b3,b3),b3)) = divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)),
inference(transitivity,[status(thm)],[21,18,25]) ).
tff(27,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(a3,a3))) = divide(a3,a3) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(28,plain,
divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(a3,a3))) = divide(a3,a3),
inference(unit_resolution,[status(thm)],[27,7]) ).
tff(29,plain,
divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),b3) = divide(b3,b3),
inference(monotonicity,[status(thm)],[22]) ).
tff(30,plain,
divide(b3,b3) = divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),b3),
inference(symmetry,[status(thm)],[29]) ).
tff(31,plain,
^ [A: $i] :
refl(( ( identity = divide(A,A) )
<=> ( identity = divide(A,A) ) )),
inference(bind,[status(th)],[]) ).
tff(32,plain,
( ! [A: $i] : ( identity = divide(A,A) )
<=> ! [A: $i] : ( identity = divide(A,A) ) ),
inference(quant_intro,[status(thm)],[31]) ).
tff(33,plain,
( ! [A: $i] : ( identity = divide(A,A) )
<=> ! [A: $i] : ( identity = divide(A,A) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(34,axiom,
! [A: $i] : ( identity = divide(A,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
tff(35,plain,
! [A: $i] : ( identity = divide(A,A) ),
inference(modus_ponens,[status(thm)],[34,33]) ).
tff(36,plain,
! [A: $i] : ( identity = divide(A,A) ),
inference(skolemize,[status(sab)],[35]) ).
tff(37,plain,
! [A: $i] : ( identity = divide(A,A) ),
inference(modus_ponens,[status(thm)],[36,32]) ).
tff(38,plain,
( ~ ! [A: $i] : ( identity = divide(A,A) )
| ( identity = divide(b3,b3) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(39,plain,
identity = divide(b3,b3),
inference(unit_resolution,[status(thm)],[38,37]) ).
tff(40,plain,
( ~ ! [A: $i] : ( identity = divide(A,A) )
| ( identity = divide(a3,a3) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(41,plain,
identity = divide(a3,a3),
inference(unit_resolution,[status(thm)],[40,37]) ).
tff(42,plain,
divide(a3,a3) = identity,
inference(symmetry,[status(thm)],[41]) ).
tff(43,plain,
divide(a3,a3) = divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),b3),
inference(transitivity,[status(thm)],[42,39,30]) ).
tff(44,plain,
divide(a3,a3) = divide(b3,b3),
inference(transitivity,[status(thm)],[42,39]) ).
tff(45,plain,
divide(divide(a3,a3),b3) = divide(divide(b3,b3),b3),
inference(monotonicity,[status(thm)],[44]) ).
tff(46,plain,
divide(divide(b3,b3),b3) = divide(divide(a3,a3),b3),
inference(symmetry,[status(thm)],[45]) ).
tff(47,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(divide(a3,a3),b3),divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),b3)) = divide(divide(b3,b3),b3) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(48,plain,
divide(divide(divide(a3,a3),b3),divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),b3)) = divide(divide(b3,b3),b3),
inference(unit_resolution,[status(thm)],[47,7]) ).
tff(49,plain,
divide(divide(divide(b3,b3),b3),divide(a3,a3)) = divide(divide(divide(a3,a3),b3),divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),b3)),
inference(monotonicity,[status(thm)],[46,43]) ).
tff(50,plain,
divide(divide(divide(b3,b3),b3),divide(a3,a3)) = divide(divide(a3,a3),b3),
inference(transitivity,[status(thm)],[49,48,46]) ).
tff(51,plain,
divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(a3,a3)) = divide(divide(divide(a3,a3),b3),divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),b3)),
inference(monotonicity,[status(thm)],[50,43]) ).
tff(52,plain,
divide(divide(divide(a3,a3),b3),divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),b3)) = divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(a3,a3)),
inference(symmetry,[status(thm)],[51]) ).
tff(53,plain,
divide(divide(b3,b3),b3) = divide(divide(divide(a3,a3),b3),divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),b3)),
inference(symmetry,[status(thm)],[48]) ).
tff(54,plain,
divide(divide(b3,b3),b3) = divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(a3,a3)),
inference(transitivity,[status(thm)],[53,52]) ).
tff(55,plain,
divide(divide(divide(a3,a3),b3),divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),b3)) = divide(divide(divide(b3,b3),b3),divide(a3,a3)),
inference(symmetry,[status(thm)],[49]) ).
tff(56,plain,
divide(divide(b3,b3),b3) = divide(divide(divide(b3,b3),b3),divide(a3,a3)),
inference(transitivity,[status(thm)],[53,55]) ).
tff(57,plain,
divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)) = divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(a3,a3))),
inference(monotonicity,[status(thm)],[56,54]) ).
tff(58,plain,
divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)) = divide(a3,a3),
inference(transitivity,[status(thm)],[57,28]) ).
tff(59,plain,
divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))),
inference(monotonicity,[status(thm)],[58]) ).
tff(60,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))) = divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),
inference(symmetry,[status(thm)],[59]) ).
tff(61,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(62,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)],[61]) ).
tff(63,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(64,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(65,plain,
! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ),
inference(modus_ponens,[status(thm)],[64,63]) ).
tff(66,plain,
! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ),
inference(skolemize,[status(sab)],[65]) ).
tff(67,plain,
! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ),
inference(modus_ponens,[status(thm)],[66,62]) ).
tff(68,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(a3,a3),divide(divide(b3,b3),b3)) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(69,plain,
multiply(divide(a3,a3),divide(divide(b3,b3),b3)) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))),
inference(unit_resolution,[status(thm)],[68,67]) ).
tff(70,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(a3,a3),divide(divide(b3,b3),b3)) = divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(b3,b3),b3))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(71,plain,
multiply(divide(a3,a3),divide(divide(b3,b3),b3)) = divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(b3,b3),b3))),
inference(unit_resolution,[status(thm)],[70,67]) ).
tff(72,plain,
divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(b3,b3),b3))) = multiply(divide(a3,a3),divide(divide(b3,b3),b3)),
inference(symmetry,[status(thm)],[71]) ).
tff(73,plain,
divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(b3,b3),b3))) = divide(divide(b3,b3),b3),
inference(monotonicity,[status(thm)],[44,9]) ).
tff(74,plain,
divide(divide(b3,b3),b3) = divide(divide(a3,a3),divide(divide(b3,b3),divide(divide(b3,b3),b3))),
inference(symmetry,[status(thm)],[73]) ).
tff(75,plain,
divide(divide(b3,b3),b3) = divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),
inference(transitivity,[status(thm)],[74,72,69,60]) ).
tff(76,plain,
divide(a3,divide(divide(b3,b3),b3)) = divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),
inference(monotonicity,[status(thm)],[75]) ).
tff(77,plain,
divide(divide(a3,divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))) = divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),
inference(monotonicity,[status(thm)],[76,26]) ).
tff(78,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(a3,divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))) = a3 ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(79,plain,
divide(divide(a3,divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))) = a3,
inference(unit_resolution,[status(thm)],[78,7]) ).
tff(80,plain,
a3 = divide(divide(a3,divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),
inference(symmetry,[status(thm)],[79]) ).
tff(81,plain,
a3 = divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),
inference(transitivity,[status(thm)],[80,77]) ).
tff(82,plain,
multiply(a3,multiply(b3,c3)) = multiply(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),multiply(b3,c3)),
inference(monotonicity,[status(thm)],[81]) ).
tff(83,plain,
multiply(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
inference(symmetry,[status(thm)],[82]) ).
tff(84,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),multiply(b3,c3)) = divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),multiply(b3,c3))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(85,plain,
multiply(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),multiply(b3,c3)) = divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),multiply(b3,c3))),
inference(unit_resolution,[status(thm)],[84,67]) ).
tff(86,plain,
divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),multiply(b3,c3))) = multiply(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),multiply(b3,c3)),
inference(symmetry,[status(thm)],[85]) ).
tff(87,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(a3,a3)),divide(divide(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),multiply(b3,c3)))),divide(a3,a3))) = divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),multiply(b3,c3))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(88,plain,
divide(divide(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(a3,a3)),divide(divide(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),multiply(b3,c3)))),divide(a3,a3))) = divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),multiply(b3,c3))),
inference(unit_resolution,[status(thm)],[87,7]) ).
tff(89,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(a3,a3),c3) = divide(divide(a3,a3),divide(divide(c3,c3),c3)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(90,plain,
multiply(divide(a3,a3),c3) = divide(divide(a3,a3),divide(divide(c3,c3),c3)),
inference(unit_resolution,[status(thm)],[89,67]) ).
tff(91,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(a3,a3),c3) = divide(divide(a3,a3),divide(divide(a3,a3),c3)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(92,plain,
multiply(divide(a3,a3),c3) = divide(divide(a3,a3),divide(divide(a3,a3),c3)),
inference(unit_resolution,[status(thm)],[91,67]) ).
tff(93,plain,
divide(divide(a3,a3),divide(divide(a3,a3),c3)) = multiply(divide(a3,a3),c3),
inference(symmetry,[status(thm)],[92]) ).
tff(94,plain,
divide(divide(a3,a3),divide(divide(a3,a3),c3)) = divide(divide(a3,a3),divide(divide(c3,c3),c3)),
inference(transitivity,[status(thm)],[93,90]) ).
tff(95,plain,
divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))) = divide(divide(a3,divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),
inference(symmetry,[status(thm)],[77]) ).
tff(96,plain,
divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))) = a3,
inference(transitivity,[status(thm)],[95,79]) ).
tff(97,plain,
divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)))) = divide(a3,a3),
inference(monotonicity,[status(thm)],[96,96]) ).
tff(98,plain,
divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(a3,a3),c3))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(c3,c3),c3))),
inference(monotonicity,[status(thm)],[97,94]) ).
tff(99,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(c3,c3),c3))) = divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(a3,a3),c3))),
inference(symmetry,[status(thm)],[98]) ).
tff(100,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(a3,a3),divide(divide(c3,c3),c3)) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(c3,c3),c3))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(101,plain,
multiply(divide(a3,a3),divide(divide(c3,c3),c3)) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(c3,c3),c3))),
inference(unit_resolution,[status(thm)],[100,67]) ).
tff(102,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(a3,a3),divide(divide(c3,c3),c3)) = divide(divide(a3,a3),divide(divide(c3,c3),divide(divide(c3,c3),c3))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(103,plain,
multiply(divide(a3,a3),divide(divide(c3,c3),c3)) = divide(divide(a3,a3),divide(divide(c3,c3),divide(divide(c3,c3),c3))),
inference(unit_resolution,[status(thm)],[102,67]) ).
tff(104,plain,
divide(divide(a3,a3),divide(divide(c3,c3),divide(divide(c3,c3),c3))) = multiply(divide(a3,a3),divide(divide(c3,c3),c3)),
inference(symmetry,[status(thm)],[103]) ).
tff(105,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(c3,c3),divide(divide(c3,c3),c3)) = c3 ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(106,plain,
divide(divide(c3,c3),divide(divide(c3,c3),c3)) = c3,
inference(unit_resolution,[status(thm)],[105,7]) ).
tff(107,plain,
divide(divide(a3,a3),divide(divide(c3,c3),divide(divide(c3,c3),c3))) = divide(divide(a3,a3),c3),
inference(monotonicity,[status(thm)],[106]) ).
tff(108,plain,
divide(divide(a3,a3),c3) = divide(divide(a3,a3),divide(divide(c3,c3),divide(divide(c3,c3),c3))),
inference(symmetry,[status(thm)],[107]) ).
tff(109,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(c3) = divide(divide(a3,a3),c3) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(110,plain,
inverse(c3) = divide(divide(a3,a3),c3),
inference(unit_resolution,[status(thm)],[109,16]) ).
tff(111,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(c3) = divide(divide(c3,c3),c3) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(112,plain,
inverse(c3) = divide(divide(c3,c3),c3),
inference(unit_resolution,[status(thm)],[111,16]) ).
tff(113,plain,
divide(divide(c3,c3),c3) = inverse(c3),
inference(symmetry,[status(thm)],[112]) ).
tff(114,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),divide(divide(c3,c3),c3)),divide(divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),divide(divide(c3,c3),c3)),divide(divide(c3,c3),c3))) = divide(divide(c3,c3),c3) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(115,plain,
divide(divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),divide(divide(c3,c3),c3)),divide(divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),divide(divide(c3,c3),c3)),divide(divide(c3,c3),c3))) = divide(divide(c3,c3),c3),
inference(unit_resolution,[status(thm)],[114,7]) ).
tff(116,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(divide(b3,b3),b3))) = divide(a3,a3) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(117,plain,
divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(divide(b3,b3),b3))) = divide(a3,a3),
inference(unit_resolution,[status(thm)],[116,7]) ).
tff(118,plain,
divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(divide(b3,b3),b3)) = divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(a3,a3))),
inference(monotonicity,[status(thm)],[54]) ).
tff(119,plain,
divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(a3,a3))) = divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(divide(b3,b3),b3)),
inference(symmetry,[status(thm)],[118]) ).
tff(120,plain,
divide(a3,a3) = divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(a3,a3))),
inference(symmetry,[status(thm)],[28]) ).
tff(121,plain,
divide(a3,a3) = divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(divide(b3,b3),b3)),
inference(transitivity,[status(thm)],[120,119]) ).
tff(122,plain,
divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(a3,a3))) = divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),
inference(symmetry,[status(thm)],[57]) ).
tff(123,plain,
divide(a3,a3) = divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),
inference(transitivity,[status(thm)],[120,122]) ).
tff(124,plain,
divide(divide(a3,a3),divide(a3,a3)) = divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(divide(b3,b3),b3))),
inference(monotonicity,[status(thm)],[123,121]) ).
tff(125,plain,
divide(divide(a3,a3),divide(a3,a3)) = divide(a3,a3),
inference(transitivity,[status(thm)],[124,117]) ).
tff(126,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),c3) = divide(divide(a3,a3),c3),
inference(monotonicity,[status(thm)],[125]) ).
tff(127,plain,
divide(divide(a3,a3),c3) = divide(divide(divide(a3,a3),divide(a3,a3)),c3),
inference(symmetry,[status(thm)],[126]) ).
tff(128,plain,
divide(divide(c3,c3),c3) = divide(divide(divide(a3,a3),divide(a3,a3)),c3),
inference(transitivity,[status(thm)],[113,110,127]) ).
tff(129,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),c3)) = divide(divide(a3,a3),divide(divide(b3,b3),b3)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(130,plain,
divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),c3)) = divide(divide(a3,a3),divide(divide(b3,b3),b3)),
inference(unit_resolution,[status(thm)],[129,7]) ).
tff(131,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),c3) = divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),c3)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(132,plain,
multiply(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),c3) = divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),c3)),
inference(unit_resolution,[status(thm)],[131,67]) ).
tff(133,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),c3) = divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),divide(divide(c3,c3),c3)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(134,plain,
multiply(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),c3) = divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),divide(divide(c3,c3),c3)),
inference(unit_resolution,[status(thm)],[133,67]) ).
tff(135,plain,
divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),divide(divide(c3,c3),c3)) = multiply(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),c3),
inference(symmetry,[status(thm)],[134]) ).
tff(136,plain,
divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),divide(divide(c3,c3),c3)) = divide(divide(a3,a3),divide(divide(b3,b3),b3)),
inference(transitivity,[status(thm)],[135,132,130]) ).
tff(137,plain,
divide(divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),divide(divide(c3,c3),c3)),divide(divide(c3,c3),c3)) = divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),c3)),
inference(monotonicity,[status(thm)],[136,128]) ).
tff(138,plain,
divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),c3)) = divide(divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),divide(divide(c3,c3),c3)),divide(divide(c3,c3),c3)),
inference(symmetry,[status(thm)],[137]) ).
tff(139,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3) = divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),c3)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(140,plain,
multiply(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3) = divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),c3)),
inference(unit_resolution,[status(thm)],[139,67]) ).
tff(141,plain,
multiply(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3) = multiply(b3,c3),
inference(monotonicity,[status(thm)],[22]) ).
tff(142,plain,
multiply(b3,c3) = multiply(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),
inference(symmetry,[status(thm)],[141]) ).
tff(143,plain,
multiply(b3,c3) = divide(divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),divide(divide(c3,c3),c3)),divide(divide(c3,c3),c3)),
inference(transitivity,[status(thm)],[142,140,138]) ).
tff(144,plain,
divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),c3)) = multiply(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),c3),
inference(symmetry,[status(thm)],[132]) ).
tff(145,plain,
divide(divide(a3,a3),divide(divide(b3,b3),b3)) = divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),c3)),
inference(symmetry,[status(thm)],[130]) ).
tff(146,plain,
divide(divide(b3,b3),divide(divide(b3,b3),b3)) = inverse(divide(divide(b3,b3),b3)),
inference(symmetry,[status(thm)],[18]) ).
tff(147,plain,
b3 = divide(divide(b3,b3),divide(divide(b3,b3),b3)),
inference(symmetry,[status(thm)],[9]) ).
tff(148,plain,
b3 = divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),divide(divide(c3,c3),c3)),
inference(transitivity,[status(thm)],[147,146,20,145,144,134]) ).
tff(149,plain,
divide(b3,multiply(b3,c3)) = divide(divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),divide(divide(c3,c3),c3)),divide(divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),divide(divide(c3,c3),c3)),divide(divide(c3,c3),c3))),
inference(monotonicity,[status(thm)],[148,143]) ).
tff(150,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3)) = multiply(b3,c3) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(151,plain,
divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3)) = multiply(b3,c3),
inference(unit_resolution,[status(thm)],[150,7]) ).
tff(152,plain,
divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))) = divide(b3,multiply(b3,c3)),
inference(monotonicity,[status(thm)],[151]) ).
tff(153,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3)))),divide(divide(a3,a3),divide(divide(b3,b3),b3)))) = divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(154,plain,
divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3)))),divide(divide(a3,a3),divide(divide(b3,b3),b3)))) = divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),
inference(unit_resolution,[status(thm)],[153,7]) ).
tff(155,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),multiply(b3,c3)),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(a3,a3)),multiply(b3,c3))) = divide(a3,a3) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(156,plain,
divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),multiply(b3,c3)),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(a3,a3)),multiply(b3,c3))) = divide(a3,a3),
inference(unit_resolution,[status(thm)],[155,7]) ).
tff(157,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))) = divide(divide(a3,a3),divide(divide(b3,b3),b3)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(158,plain,
divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))) = divide(divide(a3,a3),divide(divide(b3,b3),b3)),
inference(unit_resolution,[status(thm)],[157,7]) ).
tff(159,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))) = multiply(divide(a3,a3),divide(divide(b3,b3),b3)),
inference(symmetry,[status(thm)],[69]) ).
tff(160,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))) = divide(divide(divide(b3,b3),b3),divide(a3,a3)),
inference(transitivity,[status(thm)],[159,71,73,53,55]) ).
tff(161,plain,
divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)) = divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(a3,a3))),
inference(monotonicity,[status(thm)],[160,54]) ).
tff(162,plain,
divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(a3,a3))) = divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)),
inference(symmetry,[status(thm)],[161]) ).
tff(163,plain,
divide(a3,a3) = divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)),
inference(transitivity,[status(thm)],[120,162]) ).
tff(164,plain,
divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(a3,a3)) = divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),
inference(monotonicity,[status(thm)],[163]) ).
tff(165,plain,
divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(a3,a3)) = b3,
inference(transitivity,[status(thm)],[164,158,21,18,9]) ).
tff(166,plain,
divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(a3,a3)),multiply(b3,c3)) = divide(b3,multiply(b3,c3)),
inference(monotonicity,[status(thm)],[165]) ).
tff(167,plain,
divide(b3,multiply(b3,c3)) = divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(a3,a3)),multiply(b3,c3)),
inference(symmetry,[status(thm)],[166]) ).
tff(168,plain,
divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))) = divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(a3,a3)),multiply(b3,c3)),
inference(transitivity,[status(thm)],[152,167]) ).
tff(169,plain,
divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),multiply(b3,c3)) = divide(b3,multiply(b3,c3)),
inference(monotonicity,[status(thm)],[22]) ).
tff(170,plain,
divide(b3,multiply(b3,c3)) = divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),multiply(b3,c3)),
inference(symmetry,[status(thm)],[169]) ).
tff(171,plain,
divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))) = divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),multiply(b3,c3)),
inference(transitivity,[status(thm)],[152,170]) ).
tff(172,plain,
divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3)))) = divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),multiply(b3,c3)),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(a3,a3)),multiply(b3,c3))),
inference(monotonicity,[status(thm)],[171,168]) ).
tff(173,plain,
divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3)))) = divide(a3,a3),
inference(transitivity,[status(thm)],[172,156]) ).
tff(174,plain,
divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3)))),divide(divide(a3,a3),divide(divide(b3,b3),b3))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))),
inference(monotonicity,[status(thm)],[173]) ).
tff(175,plain,
divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))) = divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3)))),divide(divide(a3,a3),divide(divide(b3,b3),b3))),
inference(symmetry,[status(thm)],[174]) ).
tff(176,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),b3)) = divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(a3,a3),divide(divide(b3,b3),b3))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(177,plain,
multiply(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),b3)) = divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(a3,a3),divide(divide(b3,b3),b3))),
inference(unit_resolution,[status(thm)],[176,67]) ).
tff(178,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),b3)) = divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(179,plain,
multiply(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),b3)) = divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),
inference(unit_resolution,[status(thm)],[178,67]) ).
tff(180,plain,
divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))) = multiply(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),b3)),
inference(symmetry,[status(thm)],[179]) ).
tff(181,plain,
divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))) = divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(a3,a3),divide(divide(b3,b3),b3))),
inference(transitivity,[status(thm)],[180,177]) ).
tff(182,plain,
divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))) = divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3)))),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),
inference(monotonicity,[status(thm)],[181,175]) ).
tff(183,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(a3,a3)),divide(divide(divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),divide(a3,a3))) = divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(184,plain,
divide(divide(divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(a3,a3)),divide(divide(divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),divide(a3,a3))) = divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),
inference(unit_resolution,[status(thm)],[183,7]) ).
tff(185,plain,
divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))) = divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(a3,a3)),multiply(b3,c3)),
inference(transitivity,[status(thm)],[182,154,152,167]) ).
tff(186,plain,
divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))) = divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),multiply(b3,c3)),
inference(transitivity,[status(thm)],[182,154,152,170]) ).
tff(187,plain,
divide(divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))))) = divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),multiply(b3,c3)),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(a3,a3)),multiply(b3,c3))),
inference(monotonicity,[status(thm)],[186,185]) ).
tff(188,plain,
divide(divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))))) = divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),
inference(transitivity,[status(thm)],[187,156,120,122]) ).
tff(189,plain,
divide(divide(divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),divide(a3,a3)) = divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(divide(b3,b3),b3))),
inference(monotonicity,[status(thm)],[188,121]) ).
tff(190,plain,
divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(divide(b3,b3),b3))) = divide(divide(divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),divide(a3,a3)),
inference(symmetry,[status(thm)],[189]) ).
tff(191,plain,
divide(a3,a3) = divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(divide(b3,b3),b3))),
inference(symmetry,[status(thm)],[117]) ).
tff(192,plain,
divide(a3,a3) = divide(divide(divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),divide(a3,a3)),
inference(transitivity,[status(thm)],[191,190]) ).
tff(193,plain,
divide(b3,multiply(b3,c3)) = divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),
inference(symmetry,[status(thm)],[152]) ).
tff(194,plain,
divide(divide(b3,multiply(b3,c3)),b3) = divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),
inference(monotonicity,[status(thm)],[193,147]) ).
tff(195,plain,
divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))) = divide(divide(b3,multiply(b3,c3)),b3),
inference(symmetry,[status(thm)],[194]) ).
tff(196,plain,
divide(divide(a3,a3),divide(a3,a3)) = divide(b3,b3),
inference(transitivity,[status(thm)],[124,117,42,39]) ).
tff(197,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))) = divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3)),
inference(monotonicity,[status(thm)],[196,195]) ).
tff(198,plain,
divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),
inference(symmetry,[status(thm)],[197]) ).
tff(199,plain,
multiply(b3,c3) = divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3)),
inference(symmetry,[status(thm)],[151]) ).
tff(200,plain,
multiply(b3,c3) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),
inference(transitivity,[status(thm)],[199,198]) ).
tff(201,plain,
divide(divide(a3,a3),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))) = divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3)),
inference(monotonicity,[status(thm)],[44,195]) ).
tff(202,plain,
divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3)) = divide(divide(a3,a3),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),
inference(symmetry,[status(thm)],[201]) ).
tff(203,plain,
divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),c3)) = multiply(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),
inference(symmetry,[status(thm)],[140]) ).
tff(204,plain,
divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(c3,c3),c3)) = divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),c3)),
inference(monotonicity,[status(thm)],[128]) ).
tff(205,plain,
divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(c3,c3),c3)) = divide(divide(a3,a3),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),
inference(transitivity,[status(thm)],[204,203,141,199,202]) ).
tff(206,plain,
divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(c3,c3),c3)),multiply(b3,c3)) = divide(divide(divide(a3,a3),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))))),
inference(monotonicity,[status(thm)],[205,200]) ).
tff(207,plain,
divide(divide(divide(a3,a3),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))))) = divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(c3,c3),c3)),multiply(b3,c3)),
inference(symmetry,[status(thm)],[206]) ).
tff(208,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(divide(a3,a3),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))))) = divide(a3,a3) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(209,plain,
divide(divide(divide(a3,a3),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))))) = divide(a3,a3),
inference(unit_resolution,[status(thm)],[208,7]) ).
tff(210,plain,
divide(a3,a3) = divide(divide(divide(a3,a3),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))))),
inference(symmetry,[status(thm)],[209]) ).
tff(211,plain,
divide(a3,a3) = divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(c3,c3),c3)),multiply(b3,c3)),
inference(transitivity,[status(thm)],[210,207]) ).
tff(212,plain,
divide(divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(a3,a3)) = divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),multiply(b3,c3)),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(c3,c3),c3)),multiply(b3,c3))),
inference(monotonicity,[status(thm)],[186,211]) ).
tff(213,plain,
divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),multiply(b3,c3)),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(c3,c3),c3)),multiply(b3,c3))) = divide(divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(a3,a3)),
inference(symmetry,[status(thm)],[212]) ).
tff(214,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),multiply(b3,c3)),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(c3,c3),c3)),multiply(b3,c3))) = divide(divide(c3,c3),c3) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(215,plain,
divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),multiply(b3,c3)),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(c3,c3),c3)),multiply(b3,c3))) = divide(divide(c3,c3),c3),
inference(unit_resolution,[status(thm)],[214,7]) ).
tff(216,plain,
divide(divide(c3,c3),c3) = divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),multiply(b3,c3)),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(c3,c3),c3)),multiply(b3,c3))),
inference(symmetry,[status(thm)],[215]) ).
tff(217,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(a3,a3),divide(divide(a3,a3),c3)),divide(divide(a3,a3),divide(divide(a3,a3),c3))),divide(divide(c3,c3),c3))),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(a3,a3),divide(divide(a3,a3),c3)),divide(divide(a3,a3),divide(divide(a3,a3),c3))),divide(divide(c3,c3),c3))),divide(divide(c3,c3),c3)),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))))) = divide(divide(c3,c3),c3) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(218,plain,
divide(divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(a3,a3),divide(divide(a3,a3),c3)),divide(divide(a3,a3),divide(divide(a3,a3),c3))),divide(divide(c3,c3),c3))),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(a3,a3),divide(divide(a3,a3),c3)),divide(divide(a3,a3),divide(divide(a3,a3),c3))),divide(divide(c3,c3),c3))),divide(divide(c3,c3),c3)),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))))) = divide(divide(c3,c3),c3),
inference(unit_resolution,[status(thm)],[217,7]) ).
tff(219,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(multiply(b3,c3)) = divide(divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),multiply(b3,c3)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(220,plain,
inverse(multiply(b3,c3)) = divide(divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),multiply(b3,c3)),
inference(unit_resolution,[status(thm)],[219,16]) ).
tff(221,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(multiply(b3,c3)) = divide(divide(multiply(b3,c3),multiply(b3,c3)),multiply(b3,c3)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(222,plain,
inverse(multiply(b3,c3)) = divide(divide(multiply(b3,c3),multiply(b3,c3)),multiply(b3,c3)),
inference(unit_resolution,[status(thm)],[221,16]) ).
tff(223,plain,
divide(divide(multiply(b3,c3),multiply(b3,c3)),multiply(b3,c3)) = inverse(multiply(b3,c3)),
inference(symmetry,[status(thm)],[222]) ).
tff(224,plain,
divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),multiply(b3,c3)) = divide(divide(a3,a3),c3),
inference(transitivity,[status(thm)],[169,149,115,113,110]) ).
tff(225,plain,
divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),multiply(b3,c3)),divide(divide(c3,c3),c3)) = divide(divide(divide(a3,a3),c3),divide(divide(divide(a3,a3),divide(a3,a3)),c3)),
inference(monotonicity,[status(thm)],[224,128]) ).
tff(226,plain,
divide(divide(divide(a3,a3),c3),divide(divide(divide(a3,a3),divide(a3,a3)),c3)) = divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),multiply(b3,c3)),divide(divide(c3,c3),c3)),
inference(symmetry,[status(thm)],[225]) ).
tff(227,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(divide(a3,a3),c3),divide(divide(divide(a3,a3),divide(a3,a3)),c3)) = divide(a3,a3) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(228,plain,
divide(divide(divide(a3,a3),c3),divide(divide(divide(a3,a3),divide(a3,a3)),c3)) = divide(a3,a3),
inference(unit_resolution,[status(thm)],[227,7]) ).
tff(229,plain,
divide(a3,a3) = divide(divide(divide(a3,a3),c3),divide(divide(divide(a3,a3),divide(a3,a3)),c3)),
inference(symmetry,[status(thm)],[228]) ).
tff(230,plain,
divide(a3,a3) = divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),multiply(b3,c3)),divide(divide(c3,c3),c3)),
inference(transitivity,[status(thm)],[229,226]) ).
tff(231,plain,
divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),c3)) = divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(c3,c3),c3)),
inference(symmetry,[status(thm)],[204]) ).
tff(232,plain,
divide(divide(a3,a3),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))) = divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(c3,c3),c3)),
inference(transitivity,[status(thm)],[201,151,142,140,231]) ).
tff(233,plain,
divide(divide(divide(a3,a3),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),divide(a3,a3)) = divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(c3,c3),c3)),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),multiply(b3,c3)),divide(divide(c3,c3),c3))),
inference(monotonicity,[status(thm)],[232,230]) ).
tff(234,plain,
divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(c3,c3),c3)),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),multiply(b3,c3)),divide(divide(c3,c3),c3))) = divide(divide(divide(a3,a3),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),divide(a3,a3)),
inference(symmetry,[status(thm)],[233]) ).
tff(235,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(c3,c3),c3)),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),multiply(b3,c3)),divide(divide(c3,c3),c3))) = multiply(b3,c3) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(236,plain,
divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(c3,c3),c3)),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),multiply(b3,c3)),divide(divide(c3,c3),c3))) = multiply(b3,c3),
inference(unit_resolution,[status(thm)],[235,7]) ).
tff(237,plain,
multiply(b3,c3) = divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(c3,c3),c3)),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),multiply(b3,c3)),divide(divide(c3,c3),c3))),
inference(symmetry,[status(thm)],[236]) ).
tff(238,plain,
multiply(b3,c3) = divide(divide(divide(a3,a3),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),divide(a3,a3)),
inference(transitivity,[status(thm)],[237,234]) ).
tff(239,plain,
divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(divide(b3,b3),b3))) = divide(divide(a3,a3),divide(a3,a3)),
inference(symmetry,[status(thm)],[124]) ).
tff(240,plain,
multiply(b3,c3) = divide(divide(a3,a3),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),
inference(transitivity,[status(thm)],[199,202]) ).
tff(241,plain,
divide(multiply(b3,c3),multiply(b3,c3)) = divide(divide(divide(a3,a3),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))))),
inference(monotonicity,[status(thm)],[240,200]) ).
tff(242,plain,
divide(multiply(b3,c3),multiply(b3,c3)) = divide(divide(a3,a3),divide(a3,a3)),
inference(transitivity,[status(thm)],[241,209,191,239]) ).
tff(243,plain,
divide(divide(multiply(b3,c3),multiply(b3,c3)),multiply(b3,c3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(divide(a3,a3),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),divide(a3,a3))),
inference(monotonicity,[status(thm)],[242,238]) ).
tff(244,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(divide(a3,a3),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),divide(a3,a3))) = divide(divide(multiply(b3,c3),multiply(b3,c3)),multiply(b3,c3)),
inference(symmetry,[status(thm)],[243]) ).
tff(245,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(divide(a3,a3),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),divide(a3,a3))) = divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(246,plain,
divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(divide(a3,a3),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),divide(a3,a3))) = divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),
inference(unit_resolution,[status(thm)],[245,7]) ).
tff(247,plain,
divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(divide(divide(a3,a3),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),divide(a3,a3))),
inference(symmetry,[status(thm)],[246]) ).
tff(248,plain,
divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))) = divide(divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),multiply(b3,c3)),
inference(transitivity,[status(thm)],[247,244,223,220]) ).
tff(249,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),c3))),divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(a3,a3),c3)))) = divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(250,plain,
divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),c3))),divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(a3,a3),c3)))) = divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),
inference(unit_resolution,[status(thm)],[249,7]) ).
tff(251,plain,
divide(divide(c3,c3),c3) = divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(a3,a3),c3))),
inference(transitivity,[status(thm)],[113,110,108,104,101,99]) ).
tff(252,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(c3,c3),c3)) = divide(divide(c3,c3),divide(divide(c3,c3),c3)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(253,plain,
inverse(divide(divide(c3,c3),c3)) = divide(divide(c3,c3),divide(divide(c3,c3),c3)),
inference(unit_resolution,[status(thm)],[252,16]) ).
tff(254,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(divide(c3,c3),c3)) = divide(divide(a3,a3),divide(divide(c3,c3),c3)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(255,plain,
inverse(divide(divide(c3,c3),c3)) = divide(divide(a3,a3),divide(divide(c3,c3),c3)),
inference(unit_resolution,[status(thm)],[254,16]) ).
tff(256,plain,
divide(divide(a3,a3),divide(divide(c3,c3),c3)) = inverse(divide(divide(c3,c3),c3)),
inference(symmetry,[status(thm)],[255]) ).
tff(257,plain,
divide(divide(a3,a3),divide(divide(a3,a3),c3)) = c3,
inference(transitivity,[status(thm)],[93,90,256,253,106]) ).
tff(258,plain,
divide(divide(divide(a3,a3),divide(divide(a3,a3),c3)),divide(divide(a3,a3),divide(divide(a3,a3),c3))) = divide(c3,c3),
inference(monotonicity,[status(thm)],[257,257]) ).
tff(259,plain,
divide(divide(divide(divide(a3,a3),divide(divide(a3,a3),c3)),divide(divide(a3,a3),divide(divide(a3,a3),c3))),divide(divide(c3,c3),c3)) = divide(divide(c3,c3),divide(divide(c3,c3),c3)),
inference(monotonicity,[status(thm)],[258]) ).
tff(260,plain,
divide(divide(c3,c3),divide(divide(c3,c3),c3)) = divide(divide(divide(divide(a3,a3),divide(divide(a3,a3),c3)),divide(divide(a3,a3),divide(divide(a3,a3),c3))),divide(divide(c3,c3),c3)),
inference(symmetry,[status(thm)],[259]) ).
tff(261,plain,
divide(divide(a3,a3),divide(divide(a3,a3),c3)) = divide(divide(divide(divide(a3,a3),divide(divide(a3,a3),c3)),divide(divide(a3,a3),divide(divide(a3,a3),c3))),divide(divide(c3,c3),c3)),
inference(transitivity,[status(thm)],[93,90,256,253,260]) ).
tff(262,plain,
divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),c3))) = divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(a3,a3),divide(divide(a3,a3),c3)),divide(divide(a3,a3),divide(divide(a3,a3),c3))),divide(divide(c3,c3),c3))),
inference(monotonicity,[status(thm)],[261]) ).
tff(263,plain,
divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(a3,a3),divide(divide(a3,a3),c3)),divide(divide(a3,a3),divide(divide(a3,a3),c3))),divide(divide(c3,c3),c3))) = divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),c3))),
inference(symmetry,[status(thm)],[262]) ).
tff(264,plain,
divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(a3,a3),divide(divide(a3,a3),c3)),divide(divide(a3,a3),divide(divide(a3,a3),c3))),divide(divide(c3,c3),c3))),divide(divide(c3,c3),c3)) = divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),c3))),divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(a3,a3),c3)))),
inference(monotonicity,[status(thm)],[263,251]) ).
tff(265,plain,
divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(a3,a3),divide(divide(a3,a3),c3)),divide(divide(a3,a3),divide(divide(a3,a3),c3))),divide(divide(c3,c3),c3))),divide(divide(c3,c3),c3)) = divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),
inference(transitivity,[status(thm)],[264,250]) ).
tff(266,plain,
divide(divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(a3,a3),divide(divide(a3,a3),c3)),divide(divide(a3,a3),divide(divide(a3,a3),c3))),divide(divide(c3,c3),c3))),divide(divide(c3,c3),c3)),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))) = divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),multiply(b3,c3))),
inference(monotonicity,[status(thm)],[265,248]) ).
tff(267,plain,
divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),multiply(b3,c3))) = divide(divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(a3,a3),divide(divide(a3,a3),c3)),divide(divide(a3,a3),divide(divide(a3,a3),c3))),divide(divide(c3,c3),c3))),divide(divide(c3,c3),c3)),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),
inference(symmetry,[status(thm)],[266]) ).
tff(268,plain,
divide(divide(a3,a3),divide(divide(b3,b3),b3)) = divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),divide(divide(c3,c3),c3)),
inference(transitivity,[status(thm)],[145,144,134]) ).
tff(269,plain,
divide(divide(divide(a3,a3),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(b3,b3),b3))) = divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(c3,c3),c3)),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),divide(divide(c3,c3),c3))),
inference(monotonicity,[status(thm)],[232,268]) ).
tff(270,plain,
divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(c3,c3),c3)),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),divide(divide(c3,c3),c3))) = divide(divide(divide(a3,a3),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(b3,b3),b3))),
inference(symmetry,[status(thm)],[269]) ).
tff(271,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(c3,c3),c3)),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),divide(divide(c3,c3),c3))) = c3 ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(272,plain,
divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(c3,c3),c3)),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),divide(divide(c3,c3),c3))) = c3,
inference(unit_resolution,[status(thm)],[271,7]) ).
tff(273,plain,
c3 = divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(c3,c3),c3)),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),c3),divide(divide(c3,c3),c3))),
inference(symmetry,[status(thm)],[272]) ).
tff(274,plain,
divide(divide(a3,a3),divide(divide(a3,a3),c3)) = divide(divide(divide(a3,a3),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(b3,b3),b3))),
inference(transitivity,[status(thm)],[93,90,256,253,106,273,270]) ).
tff(275,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))) = divide(divide(b3,b3),b3) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(276,plain,
divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))) = divide(divide(b3,b3),b3),
inference(unit_resolution,[status(thm)],[275,7]) ).
tff(277,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(b3,b3),b3)),divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))) = divide(divide(a3,a3),divide(divide(b3,b3),b3)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(278,plain,
divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(b3,b3),b3)),divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))) = divide(divide(a3,a3),divide(divide(b3,b3),b3)),
inference(unit_resolution,[status(thm)],[277,7]) ).
tff(279,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(b3,b3),b3)) = divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(280,plain,
multiply(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(b3,b3),b3)) = divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),
inference(unit_resolution,[status(thm)],[279,67]) ).
tff(281,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(b3,b3),b3)) = divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(b3,b3),b3))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(282,plain,
multiply(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(b3,b3),b3)) = divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(b3,b3),b3))),
inference(unit_resolution,[status(thm)],[281,67]) ).
tff(283,plain,
divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(b3,b3),b3))) = multiply(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(b3,b3),b3)),
inference(symmetry,[status(thm)],[282]) ).
tff(284,plain,
divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(b3,b3),b3))) = a3,
inference(transitivity,[status(thm)],[283,280,95,79]) ).
tff(285,plain,
divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)) = divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),
inference(monotonicity,[status(thm)],[284,75]) ).
tff(286,plain,
divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))) = divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)),
inference(symmetry,[status(thm)],[285]) ).
tff(287,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(b3) = divide(divide(c3,c3),b3) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(288,plain,
inverse(b3) = divide(divide(c3,c3),b3),
inference(unit_resolution,[status(thm)],[287,16]) ).
tff(289,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(b3) = divide(divide(b3,b3),b3) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(290,plain,
inverse(b3) = divide(divide(b3,b3),b3),
inference(unit_resolution,[status(thm)],[289,16]) ).
tff(291,plain,
divide(divide(b3,b3),b3) = inverse(b3),
inference(symmetry,[status(thm)],[290]) ).
tff(292,plain,
divide(divide(b3,b3),b3) = divide(divide(c3,c3),b3),
inference(transitivity,[status(thm)],[291,288]) ).
tff(293,plain,
b3 = divide(divide(a3,a3),divide(divide(b3,b3),b3)),
inference(transitivity,[status(thm)],[147,146,20]) ).
tff(294,plain,
multiply(a3,b3) = multiply(a3,divide(divide(a3,a3),divide(divide(b3,b3),b3))),
inference(monotonicity,[status(thm)],[293]) ).
tff(295,plain,
multiply(a3,divide(divide(a3,a3),divide(divide(b3,b3),b3))) = multiply(a3,b3),
inference(symmetry,[status(thm)],[294]) ).
tff(296,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(a3,divide(divide(a3,a3),divide(divide(b3,b3),b3))) = divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(297,plain,
multiply(a3,divide(divide(a3,a3),divide(divide(b3,b3),b3))) = divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),
inference(unit_resolution,[status(thm)],[296,67]) ).
tff(298,plain,
divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))) = multiply(a3,divide(divide(a3,a3),divide(divide(b3,b3),b3))),
inference(symmetry,[status(thm)],[297]) ).
tff(299,plain,
divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))) = multiply(a3,b3),
inference(transitivity,[status(thm)],[298,295]) ).
tff(300,plain,
divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(b3,b3),b3)) = divide(multiply(a3,b3),divide(divide(c3,c3),b3)),
inference(monotonicity,[status(thm)],[299,292]) ).
tff(301,plain,
divide(multiply(a3,b3),divide(divide(c3,c3),b3)) = divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(b3,b3),b3)),
inference(symmetry,[status(thm)],[300]) ).
tff(302,plain,
divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))))) = divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(b3,b3),b3)),divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),
inference(monotonicity,[status(thm)],[301,286]) ).
tff(303,plain,
divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))))) = divide(divide(a3,a3),divide(divide(b3,b3),b3)),
inference(transitivity,[status(thm)],[302,278]) ).
tff(304,plain,
divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),divide(a3,a3)) = divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),
inference(monotonicity,[status(thm)],[303,163]) ).
tff(305,plain,
divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))) = divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),divide(a3,a3)),
inference(symmetry,[status(thm)],[304]) ).
tff(306,plain,
divide(divide(a3,a3),divide(divide(b3,b3),b3)) = divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),
inference(symmetry,[status(thm)],[158]) ).
tff(307,plain,
divide(divide(a3,a3),divide(divide(b3,b3),b3)) = divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),divide(a3,a3)),
inference(transitivity,[status(thm)],[306,305]) ).
tff(308,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(a3,divide(divide(b3,b3),b3)),divide(divide(a3,divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3))) = divide(divide(b3,b3),b3) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(309,plain,
divide(divide(a3,divide(divide(b3,b3),b3)),divide(divide(a3,divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3))) = divide(divide(b3,b3),b3),
inference(unit_resolution,[status(thm)],[308,7]) ).
tff(310,plain,
divide(a3,divide(divide(b3,b3),b3)) = multiply(a3,b3),
inference(transitivity,[status(thm)],[76,298,295]) ).
tff(311,plain,
divide(divide(a3,divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)) = divide(multiply(a3,b3),divide(divide(c3,c3),b3)),
inference(monotonicity,[status(thm)],[310,292]) ).
tff(312,plain,
divide(multiply(a3,b3),divide(divide(c3,c3),b3)) = divide(divide(a3,divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3)),
inference(symmetry,[status(thm)],[311]) ).
tff(313,plain,
divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))) = divide(a3,divide(divide(b3,b3),b3)),
inference(symmetry,[status(thm)],[76]) ).
tff(314,plain,
divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(multiply(a3,b3),divide(divide(c3,c3),b3))) = divide(divide(a3,divide(divide(b3,b3),b3)),divide(divide(a3,divide(divide(b3,b3),b3)),divide(divide(b3,b3),b3))),
inference(monotonicity,[status(thm)],[313,312]) ).
tff(315,plain,
divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(multiply(a3,b3),divide(divide(c3,c3),b3))) = divide(divide(divide(b3,b3),b3),divide(a3,a3)),
inference(transitivity,[status(thm)],[314,309,53,55]) ).
tff(316,plain,
divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(multiply(a3,b3),divide(divide(c3,c3),b3))),divide(divide(b3,b3),b3)) = divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(a3,a3))),
inference(monotonicity,[status(thm)],[315,54]) ).
tff(317,plain,
divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(divide(divide(divide(b3,b3),b3),divide(a3,a3)),divide(a3,a3))) = divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(multiply(a3,b3),divide(divide(c3,c3),b3))),divide(divide(b3,b3),b3)),
inference(symmetry,[status(thm)],[316]) ).
tff(318,plain,
divide(a3,a3) = divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(multiply(a3,b3),divide(divide(c3,c3),b3))),divide(divide(b3,b3),b3)),
inference(transitivity,[status(thm)],[120,317]) ).
tff(319,plain,
divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(a3,a3)) = divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(b3,b3),b3)),divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(multiply(a3,b3),divide(divide(c3,c3),b3))),divide(divide(b3,b3),b3))),
inference(monotonicity,[status(thm)],[301,318]) ).
tff(320,plain,
divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(b3,b3),b3)),divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(multiply(a3,b3),divide(divide(c3,c3),b3))),divide(divide(b3,b3),b3))) = divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(a3,a3)),
inference(symmetry,[status(thm)],[319]) ).
tff(321,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(b3,b3),b3)),divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(multiply(a3,b3),divide(divide(c3,c3),b3))),divide(divide(b3,b3),b3))) = divide(multiply(a3,b3),divide(divide(c3,c3),b3)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(322,plain,
divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(b3,b3),b3)),divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(multiply(a3,b3),divide(divide(c3,c3),b3))),divide(divide(b3,b3),b3))) = divide(multiply(a3,b3),divide(divide(c3,c3),b3)),
inference(unit_resolution,[status(thm)],[321,7]) ).
tff(323,plain,
divide(multiply(a3,b3),divide(divide(c3,c3),b3)) = divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(b3,b3),b3)),divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(multiply(a3,b3),divide(divide(c3,c3),b3))),divide(divide(b3,b3),b3))),
inference(symmetry,[status(thm)],[322]) ).
tff(324,plain,
divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(b3,b3),b3)) = divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(a3,a3)),
inference(transitivity,[status(thm)],[300,323,320]) ).
tff(325,plain,
divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))) = divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(a3,a3)),divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),divide(a3,a3))),
inference(monotonicity,[status(thm)],[324,307]) ).
tff(326,plain,
divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(a3,a3)),divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),divide(a3,a3))) = divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),
inference(symmetry,[status(thm)],[325]) ).
tff(327,plain,
divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),divide(a3,a3)) = divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)),
inference(transitivity,[status(thm)],[304,158,21,18,25]) ).
tff(328,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(a3,a3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(329,plain,
inverse(divide(a3,a3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),
inference(unit_resolution,[status(thm)],[328,16]) ).
tff(330,plain,
( ~ ! [B: $i,A: $i] : ( inverse(A) = divide(divide(B,B),A) )
| ( inverse(divide(a3,a3)) = divide(divide(a3,a3),divide(a3,a3)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(331,plain,
inverse(divide(a3,a3)) = divide(divide(a3,a3),divide(a3,a3)),
inference(unit_resolution,[status(thm)],[330,16]) ).
tff(332,plain,
divide(divide(a3,a3),divide(a3,a3)) = inverse(divide(a3,a3)),
inference(symmetry,[status(thm)],[331]) ).
tff(333,plain,
divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(multiply(a3,b3),divide(divide(c3,c3),b3))),divide(divide(b3,b3),b3)) = divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3)),
inference(transitivity,[status(thm)],[316,28,191,239,332,329]) ).
tff(334,plain,
divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(b3,b3),b3)),divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(multiply(a3,b3),divide(divide(c3,c3),b3))),divide(divide(b3,b3),b3))) = divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),
inference(monotonicity,[status(thm)],[300,333]) ).
tff(335,plain,
divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(a3,a3)) = divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),
inference(transitivity,[status(thm)],[319,334]) ).
tff(336,plain,
divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(a3,a3)),divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),divide(a3,a3))) = divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),
inference(monotonicity,[status(thm)],[335,327]) ).
tff(337,plain,
divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))) = divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(a3,a3)),divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),divide(a3,a3))),
inference(symmetry,[status(thm)],[336]) ).
tff(338,plain,
divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))) = divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),
inference(transitivity,[status(thm)],[337,326]) ).
tff(339,plain,
divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))) = multiply(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(b3,b3),b3)),
inference(symmetry,[status(thm)],[280]) ).
tff(340,plain,
divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))) = divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(b3,b3),b3))),
inference(transitivity,[status(thm)],[339,282]) ).
tff(341,plain,
divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)))) = divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),
inference(monotonicity,[status(thm)],[340,338]) ).
tff(342,plain,
divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)))) = divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))),
inference(transitivity,[status(thm)],[341,276,74,72,69]) ).
tff(343,plain,
divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(a3,a3),c3))) = divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(divide(a3,a3),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),
inference(monotonicity,[status(thm)],[342,274]) ).
tff(344,plain,
divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(divide(a3,a3),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(b3,b3),b3)))) = divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(a3,a3),c3))),
inference(symmetry,[status(thm)],[343]) ).
tff(345,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(divide(a3,a3),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(b3,b3),b3)))) = divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(346,plain,
divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(divide(a3,a3),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(b3,b3),b3)))) = divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),
inference(unit_resolution,[status(thm)],[345,7]) ).
tff(347,plain,
divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))) = divide(divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(divide(a3,a3),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),
inference(symmetry,[status(thm)],[346]) ).
tff(348,plain,
divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))) = divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(a3,a3),c3))),
inference(transitivity,[status(thm)],[347,344]) ).
tff(349,plain,
divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(a3,a3),divide(divide(a3,a3),c3)),divide(divide(a3,a3),divide(divide(a3,a3),c3))),divide(divide(c3,c3),c3))),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))) = divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),c3))),divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(a3,a3),c3)))),
inference(monotonicity,[status(thm)],[263,348]) ).
tff(350,plain,
divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),c3))),divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(a3,a3),c3)))) = divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(a3,a3),divide(divide(a3,a3),c3)),divide(divide(a3,a3),divide(divide(a3,a3),c3))),divide(divide(c3,c3),c3))),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),
inference(symmetry,[status(thm)],[349]) ).
tff(351,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),c3))),divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(a3,a3),c3)))) = divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(352,plain,
divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),c3))),divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(a3,a3),c3)))) = divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),
inference(unit_resolution,[status(thm)],[351,7]) ).
tff(353,plain,
divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))) = divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),c3))),divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(a3,a3),c3)))),
inference(symmetry,[status(thm)],[352]) ).
tff(354,plain,
divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))) = divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(a3,a3),divide(divide(a3,a3),c3)),divide(divide(a3,a3),divide(divide(a3,a3),c3))),divide(divide(c3,c3),c3))),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),
inference(transitivity,[status(thm)],[353,350]) ).
tff(355,plain,
divide(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),multiply(b3,c3)))) = divide(divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(a3,a3),divide(divide(a3,a3),c3)),divide(divide(a3,a3),divide(divide(a3,a3),c3))),divide(divide(c3,c3),c3))),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(a3,a3),divide(divide(a3,a3),c3)),divide(divide(a3,a3),divide(divide(a3,a3),c3))),divide(divide(c3,c3),c3))),divide(divide(c3,c3),c3)),divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))))),
inference(monotonicity,[status(thm)],[354,267]) ).
tff(356,plain,
divide(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),multiply(b3,c3)))) = divide(divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(a3,a3)),
inference(transitivity,[status(thm)],[355,218,216,213]) ).
tff(357,plain,
divide(divide(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),multiply(b3,c3)))),divide(a3,a3)) = divide(divide(divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(a3,a3)),divide(divide(divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(b3,divide(divide(b3,b3),divide(divide(b3,multiply(b3,c3)),b3))),divide(divide(b3,b3),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),divide(a3,a3))),
inference(monotonicity,[status(thm)],[356,192]) ).
tff(358,plain,
divide(divide(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),multiply(b3,c3)))),divide(a3,a3)) = divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(a3,a3),c3))),
inference(transitivity,[status(thm)],[357,184,182,154,152,149,115,113,110,108,104,101,99]) ).
tff(359,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(a3,a3)),divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),divide(a3,a3))) = divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(360,plain,
divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(a3,a3)),divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),divide(a3,a3))) = divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),
inference(unit_resolution,[status(thm)],[359,7]) ).
tff(361,plain,
divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))) = divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(a3,a3)),divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),divide(a3,a3))),
inference(symmetry,[status(thm)],[360]) ).
tff(362,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( divide(divide(A,B),divide(divide(A,C),B)) = C )
| ( divide(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),divide(divide(a3,a3),divide(divide(b3,b3),b3)))) = divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(363,plain,
divide(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),divide(divide(a3,a3),divide(divide(b3,b3),b3)))) = divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),
inference(unit_resolution,[status(thm)],[362,7]) ).
tff(364,plain,
divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))) = divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(b3,b3),b3)),divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(multiply(a3,b3),divide(divide(c3,c3),b3))),divide(divide(b3,b3),b3))),
inference(symmetry,[status(thm)],[334]) ).
tff(365,plain,
divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))) = divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(b3,b3),b3)),
inference(transitivity,[status(thm)],[364,322,301]) ).
tff(366,plain,
divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))))) = divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(b3,b3),b3)),divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),
inference(monotonicity,[status(thm)],[365,286]) ).
tff(367,plain,
divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))))) = b3,
inference(transitivity,[status(thm)],[366,278,21,18,9]) ).
tff(368,plain,
divide(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),divide(divide(a3,a3),divide(divide(b3,b3),b3))) = divide(b3,b3),
inference(monotonicity,[status(thm)],[367,22]) ).
tff(369,plain,
divide(b3,b3) = divide(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),divide(divide(a3,a3),divide(divide(b3,b3),b3))),
inference(symmetry,[status(thm)],[368]) ).
tff(370,plain,
divide(a3,a3) = divide(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),divide(divide(a3,a3),divide(divide(b3,b3),b3))),
inference(transitivity,[status(thm)],[42,39,369]) ).
tff(371,plain,
divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))) = divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(a3,a3)),
inference(transitivity,[status(thm)],[364,320]) ).
tff(372,plain,
divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(a3,a3),divide(divide(b3,b3),b3))) = divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(a3,a3)),divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),divide(a3,a3))),
inference(monotonicity,[status(thm)],[371,307]) ).
tff(373,plain,
divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(a3,a3)),divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),divide(a3,a3))) = divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(a3,a3),divide(divide(b3,b3),b3))),
inference(symmetry,[status(thm)],[372]) ).
tff(374,plain,
divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))) = divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(a3,a3),divide(divide(b3,b3),b3))),
inference(transitivity,[status(thm)],[337,373]) ).
tff(375,plain,
divide(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(a3,a3)) = divide(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),
inference(monotonicity,[status(thm)],[374,370]) ).
tff(376,plain,
divide(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(a3,a3)) = divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),
inference(transitivity,[status(thm)],[375,363,361,336]) ).
tff(377,plain,
divide(divide(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(a3,a3)),divide(divide(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),multiply(b3,c3)))),divide(a3,a3))) = divide(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(a3,a3),c3)))),
inference(monotonicity,[status(thm)],[376,358]) ).
tff(378,plain,
divide(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(a3,a3),c3)))) = divide(divide(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(a3,a3)),divide(divide(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(a3,a3),divide(divide(b3,b3),b3))))),multiply(b3,c3)))),divide(a3,a3))),
inference(symmetry,[status(thm)],[377]) ).
tff(379,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) )
| ( multiply(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),c3))) = divide(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(a3,a3),c3)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(380,plain,
multiply(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),c3))) = divide(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(a3,divide(divide(divide(divide(b3,b3),b3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3)))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3)))),divide(divide(a3,a3),divide(divide(a3,a3),c3)))),
inference(unit_resolution,[status(thm)],[379,67]) ).
tff(381,plain,
divide(divide(a3,a3),divide(divide(c3,c3),c3)) = multiply(divide(a3,a3),c3),
inference(symmetry,[status(thm)],[90]) ).
tff(382,plain,
divide(divide(c3,c3),divide(divide(c3,c3),c3)) = inverse(divide(divide(c3,c3),c3)),
inference(symmetry,[status(thm)],[253]) ).
tff(383,plain,
c3 = divide(divide(c3,c3),divide(divide(c3,c3),c3)),
inference(symmetry,[status(thm)],[106]) ).
tff(384,plain,
c3 = divide(divide(a3,a3),divide(divide(a3,a3),c3)),
inference(transitivity,[status(thm)],[383,382,255,381,92]) ).
tff(385,plain,
multiply(a3,b3) = divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),
inference(transitivity,[status(thm)],[294,297,361,336]) ).
tff(386,plain,
multiply(multiply(a3,b3),c3) = multiply(divide(divide(divide(multiply(a3,b3),divide(divide(c3,c3),b3)),divide(divide(divide(a3,a3),divide(a3,a3)),divide(a3,a3))),divide(divide(divide(divide(a3,a3),divide(divide(b3,b3),b3)),divide(divide(a3,a3),divide(divide(b3,b3),b3))),divide(divide(b3,b3),b3))),divide(divide(a3,a3),divide(divide(a3,a3),c3))),
inference(monotonicity,[status(thm)],[385,384]) ).
tff(387,plain,
multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
inference(transitivity,[status(thm)],[386,380,378,88,86,83]) ).
tff(388,plain,
( ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
<=> ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(389,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
tff(390,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(modus_ponens,[status(thm)],[389,388]) ).
tff(391,plain,
$false,
inference(unit_resolution,[status(thm)],[390,387]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP539-1 : TPTP v9.0.0. Released v2.6.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Jun 19 16:16:41 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.39/0.56 % SZS status Unsatisfiable
% 0.39/0.56 % SZS output start Proof
% See solution above
% 0.47/0.68 % E exiting
%------------------------------------------------------------------------------