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Princess---230619.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : ARI579_2 : TPTP v8.1.2. Released v5.1.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n002.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 : Wed Aug 30 17:48:27 EDT 2023

% Result   : Theorem 46.49s 6.86s
% Output   : Proof 47.80s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : ARI579_2 : TPTP v8.1.2. Released v5.1.0.
% 0.12/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34  % Computer : n002.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Aug 29 18:30:05 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.62  ________       _____
% 0.20/0.62  ___  __ \_________(_)________________________________
% 0.20/0.62  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.20/0.62  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.20/0.62  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.20/0.62  
% 0.20/0.62  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.62  (2023-06-19)
% 0.20/0.62  
% 0.20/0.62  (c) Philipp Rümmer, 2009-2023
% 0.20/0.62  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.62                Amanda Stjerna.
% 0.20/0.62  Free software under BSD-3-Clause.
% 0.20/0.62  
% 0.20/0.62  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.62  
% 0.20/0.62  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.63  Running up to 7 provers in parallel.
% 0.20/0.65  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.65  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.65  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.65  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.65  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.65  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.65  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.25/0.90  Prover 5: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.25/0.90  Prover 0: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.25/0.90  Prover 6: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.25/0.90  Prover 1: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.25/0.90  Prover 2: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.25/0.90  Prover 3: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.25/0.90  Prover 4: Warning: Problem contains rationals, using incomplete axiomatisation
% 2.33/1.01  Prover 4: Preprocessing ...
% 2.33/1.02  Prover 1: Preprocessing ...
% 2.93/1.08  Prover 0: Preprocessing ...
% 2.93/1.08  Prover 6: Preprocessing ...
% 4.03/1.25  Prover 5: Preprocessing ...
% 4.03/1.25  Prover 3: Preprocessing ...
% 4.03/1.26  Prover 2: Preprocessing ...
% 6.39/1.59  Prover 1: Constructing countermodel ...
% 6.39/1.60  Prover 6: Proving ...
% 6.88/1.64  Prover 4: Constructing countermodel ...
% 7.27/1.70  Prover 0: Proving ...
% 9.29/2.05  Prover 1: gave up
% 9.29/2.05  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 9.29/2.05  Prover 7: Warning: Problem contains rationals, using incomplete axiomatisation
% 10.41/2.13  Prover 7: Preprocessing ...
% 13.70/2.53  Prover 3: Constructing countermodel ...
% 13.70/2.54  Prover 2: Proving ...
% 15.58/2.77  Prover 7: Warning: ignoring some quantifiers
% 15.71/2.79  Prover 7: Constructing countermodel ...
% 16.85/2.95  Prover 5: Proving ...
% 45.55/6.64  Prover 7: Found proof (size 3)
% 45.55/6.64  Prover 7: proved (4590ms)
% 45.55/6.64  Prover 6: stopped
% 45.55/6.64  Prover 2: stopped
% 45.55/6.64  Prover 0: stopped
% 45.55/6.64  Prover 3: stopped
% 45.55/6.64  Prover 4: stopped
% 46.49/6.86  Prover 5: stopped
% 46.49/6.86  
% 46.49/6.86  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 46.49/6.86  
% 46.49/6.87  % SZS output start Proof for theBenchmark
% 46.49/6.87  Assumptions after simplification:
% 46.49/6.87  ---------------------------------
% 46.49/6.87  
% 46.49/6.87    (ineq_sys_rat_solvable)
% 46.53/6.92     ! [v0: $rat] :  ! [v1: $rat] :  ! [v2: $rat] :  ! [v3: $rat] :  ! [v4: $rat]
% 46.53/6.92    : ( ~ (rat_$product(rat_4, v1) = v3) |  ~ (rat_$product(rat_3, v0) = v2) |  ~
% 46.53/6.92      (rat_$sum(v2, v3) = v4) |  ~ rat_$less(v4, rat_6) |  ~ rat_$less(rat_0, v1)
% 46.53/6.92      |  ~ rat_$less(rat_0, v0))
% 46.53/6.92  
% 46.53/6.92    (input)
% 47.80/7.20     ~ (rat_very_large = rat_very_small) &  ~ (rat_very_large = rat_4/3) &  ~
% 47.80/7.20    (rat_very_large = rat_1/3) &  ~ (rat_very_large = rat_-1) &  ~ (rat_very_large
% 47.80/7.20      = rat_-3) &  ~ (rat_very_large = rat_1/2) &  ~ (rat_very_large = rat_18) & 
% 47.80/7.20    ~ (rat_very_large = rat_9) &  ~ (rat_very_large = rat_36) &  ~ (rat_very_large
% 47.80/7.20      = rat_2/3) &  ~ (rat_very_large = rat_1/6) &  ~ (rat_very_large = rat_2) & 
% 47.80/7.20    ~ (rat_very_large = rat_-6) &  ~ (rat_very_large = rat_3/4) &  ~
% 47.80/7.20    (rat_very_large = rat_12) &  ~ (rat_very_large = rat_7) &  ~ (rat_very_large =
% 47.80/7.20      rat_3/2) &  ~ (rat_very_large = rat_24) &  ~ (rat_very_large = rat_-2) &  ~
% 47.80/7.20    (rat_very_large = rat_10) &  ~ (rat_very_large = rat_1) &  ~ (rat_very_large =
% 47.80/7.20      rat_1/4) &  ~ (rat_very_large = rat_16) &  ~ (rat_very_large = rat_8) &  ~
% 47.80/7.20    (rat_very_large = rat_-4) &  ~ (rat_very_large = rat_6) &  ~ (rat_very_large =
% 47.80/7.20      rat_4) &  ~ (rat_very_large = rat_3) &  ~ (rat_very_large = rat_0) &  ~
% 47.80/7.20    (rat_very_small = rat_4/3) &  ~ (rat_very_small = rat_1/3) &  ~
% 47.80/7.20    (rat_very_small = rat_-1) &  ~ (rat_very_small = rat_-3) &  ~ (rat_very_small
% 47.80/7.20      = rat_1/2) &  ~ (rat_very_small = rat_18) &  ~ (rat_very_small = rat_9) &  ~
% 47.80/7.20    (rat_very_small = rat_36) &  ~ (rat_very_small = rat_2/3) &  ~ (rat_very_small
% 47.80/7.20      = rat_1/6) &  ~ (rat_very_small = rat_2) &  ~ (rat_very_small = rat_-6) &  ~
% 47.80/7.20    (rat_very_small = rat_3/4) &  ~ (rat_very_small = rat_12) &  ~ (rat_very_small
% 47.80/7.20      = rat_7) &  ~ (rat_very_small = rat_3/2) &  ~ (rat_very_small = rat_24) &  ~
% 47.80/7.20    (rat_very_small = rat_-2) &  ~ (rat_very_small = rat_10) &  ~ (rat_very_small
% 47.80/7.20      = rat_1) &  ~ (rat_very_small = rat_1/4) &  ~ (rat_very_small = rat_16) &  ~
% 47.80/7.20    (rat_very_small = rat_8) &  ~ (rat_very_small = rat_-4) &  ~ (rat_very_small =
% 47.80/7.20      rat_6) &  ~ (rat_very_small = rat_4) &  ~ (rat_very_small = rat_3) &  ~
% 47.80/7.20    (rat_very_small = rat_0) &  ~ (rat_4/3 = rat_1/3) &  ~ (rat_4/3 = rat_-1) &  ~
% 47.80/7.20    (rat_4/3 = rat_-3) &  ~ (rat_4/3 = rat_1/2) &  ~ (rat_4/3 = rat_18) &  ~
% 47.80/7.20    (rat_4/3 = rat_9) &  ~ (rat_4/3 = rat_36) &  ~ (rat_4/3 = rat_2/3) &  ~
% 47.80/7.20    (rat_4/3 = rat_1/6) &  ~ (rat_4/3 = rat_2) &  ~ (rat_4/3 = rat_-6) &  ~
% 47.80/7.20    (rat_4/3 = rat_3/4) &  ~ (rat_4/3 = rat_12) &  ~ (rat_4/3 = rat_7) &  ~
% 47.80/7.20    (rat_4/3 = rat_3/2) &  ~ (rat_4/3 = rat_24) &  ~ (rat_4/3 = rat_-2) &  ~
% 47.80/7.20    (rat_4/3 = rat_10) &  ~ (rat_4/3 = rat_1) &  ~ (rat_4/3 = rat_1/4) &  ~
% 47.80/7.20    (rat_4/3 = rat_16) &  ~ (rat_4/3 = rat_8) &  ~ (rat_4/3 = rat_-4) &  ~
% 47.80/7.20    (rat_4/3 = rat_6) &  ~ (rat_4/3 = rat_4) &  ~ (rat_4/3 = rat_3) &  ~ (rat_4/3
% 47.80/7.20      = rat_0) &  ~ (rat_1/3 = rat_-1) &  ~ (rat_1/3 = rat_-3) &  ~ (rat_1/3 =
% 47.80/7.20      rat_1/2) &  ~ (rat_1/3 = rat_18) &  ~ (rat_1/3 = rat_9) &  ~ (rat_1/3 =
% 47.80/7.20      rat_36) &  ~ (rat_1/3 = rat_2/3) &  ~ (rat_1/3 = rat_1/6) &  ~ (rat_1/3 =
% 47.80/7.20      rat_2) &  ~ (rat_1/3 = rat_-6) &  ~ (rat_1/3 = rat_3/4) &  ~ (rat_1/3 =
% 47.80/7.20      rat_12) &  ~ (rat_1/3 = rat_7) &  ~ (rat_1/3 = rat_3/2) &  ~ (rat_1/3 =
% 47.80/7.20      rat_24) &  ~ (rat_1/3 = rat_-2) &  ~ (rat_1/3 = rat_10) &  ~ (rat_1/3 =
% 47.80/7.20      rat_1) &  ~ (rat_1/3 = rat_1/4) &  ~ (rat_1/3 = rat_16) &  ~ (rat_1/3 =
% 47.80/7.20      rat_8) &  ~ (rat_1/3 = rat_-4) &  ~ (rat_1/3 = rat_6) &  ~ (rat_1/3 = rat_4)
% 47.80/7.20    &  ~ (rat_1/3 = rat_3) &  ~ (rat_1/3 = rat_0) &  ~ (rat_-1 = rat_-3) &  ~
% 47.80/7.20    (rat_-1 = rat_1/2) &  ~ (rat_-1 = rat_18) &  ~ (rat_-1 = rat_9) &  ~ (rat_-1 =
% 47.80/7.20      rat_36) &  ~ (rat_-1 = rat_2/3) &  ~ (rat_-1 = rat_1/6) &  ~ (rat_-1 =
% 47.80/7.20      rat_2) &  ~ (rat_-1 = rat_-6) &  ~ (rat_-1 = rat_3/4) &  ~ (rat_-1 = rat_12)
% 47.80/7.20    &  ~ (rat_-1 = rat_7) &  ~ (rat_-1 = rat_3/2) &  ~ (rat_-1 = rat_24) &  ~
% 47.80/7.20    (rat_-1 = rat_-2) &  ~ (rat_-1 = rat_10) &  ~ (rat_-1 = rat_1) &  ~ (rat_-1 =
% 47.80/7.20      rat_1/4) &  ~ (rat_-1 = rat_16) &  ~ (rat_-1 = rat_8) &  ~ (rat_-1 = rat_-4)
% 47.80/7.20    &  ~ (rat_-1 = rat_6) &  ~ (rat_-1 = rat_4) &  ~ (rat_-1 = rat_3) &  ~ (rat_-1
% 47.80/7.20      = rat_0) &  ~ (rat_-3 = rat_1/2) &  ~ (rat_-3 = rat_18) &  ~ (rat_-3 =
% 47.80/7.20      rat_9) &  ~ (rat_-3 = rat_36) &  ~ (rat_-3 = rat_2/3) &  ~ (rat_-3 =
% 47.80/7.20      rat_1/6) &  ~ (rat_-3 = rat_2) &  ~ (rat_-3 = rat_-6) &  ~ (rat_-3 =
% 47.80/7.20      rat_3/4) &  ~ (rat_-3 = rat_12) &  ~ (rat_-3 = rat_7) &  ~ (rat_-3 =
% 47.80/7.20      rat_3/2) &  ~ (rat_-3 = rat_24) &  ~ (rat_-3 = rat_-2) &  ~ (rat_-3 =
% 47.80/7.20      rat_10) &  ~ (rat_-3 = rat_1) &  ~ (rat_-3 = rat_1/4) &  ~ (rat_-3 = rat_16)
% 47.80/7.20    &  ~ (rat_-3 = rat_8) &  ~ (rat_-3 = rat_-4) &  ~ (rat_-3 = rat_6) &  ~
% 47.80/7.20    (rat_-3 = rat_4) &  ~ (rat_-3 = rat_3) &  ~ (rat_-3 = rat_0) &  ~ (rat_1/2 =
% 47.80/7.20      rat_18) &  ~ (rat_1/2 = rat_9) &  ~ (rat_1/2 = rat_36) &  ~ (rat_1/2 =
% 47.80/7.20      rat_2/3) &  ~ (rat_1/2 = rat_1/6) &  ~ (rat_1/2 = rat_2) &  ~ (rat_1/2 =
% 47.80/7.20      rat_-6) &  ~ (rat_1/2 = rat_3/4) &  ~ (rat_1/2 = rat_12) &  ~ (rat_1/2 =
% 47.80/7.20      rat_7) &  ~ (rat_1/2 = rat_3/2) &  ~ (rat_1/2 = rat_24) &  ~ (rat_1/2 =
% 47.80/7.20      rat_-2) &  ~ (rat_1/2 = rat_10) &  ~ (rat_1/2 = rat_1) &  ~ (rat_1/2 =
% 47.80/7.20      rat_1/4) &  ~ (rat_1/2 = rat_16) &  ~ (rat_1/2 = rat_8) &  ~ (rat_1/2 =
% 47.80/7.20      rat_-4) &  ~ (rat_1/2 = rat_6) &  ~ (rat_1/2 = rat_4) &  ~ (rat_1/2 = rat_3)
% 47.80/7.20    &  ~ (rat_1/2 = rat_0) &  ~ (rat_18 = rat_9) &  ~ (rat_18 = rat_36) &  ~
% 47.80/7.20    (rat_18 = rat_2/3) &  ~ (rat_18 = rat_1/6) &  ~ (rat_18 = rat_2) &  ~ (rat_18
% 47.80/7.20      = rat_-6) &  ~ (rat_18 = rat_3/4) &  ~ (rat_18 = rat_12) &  ~ (rat_18 =
% 47.80/7.20      rat_7) &  ~ (rat_18 = rat_3/2) &  ~ (rat_18 = rat_24) &  ~ (rat_18 = rat_-2)
% 47.80/7.20    &  ~ (rat_18 = rat_10) &  ~ (rat_18 = rat_1) &  ~ (rat_18 = rat_1/4) &  ~
% 47.80/7.20    (rat_18 = rat_16) &  ~ (rat_18 = rat_8) &  ~ (rat_18 = rat_-4) &  ~ (rat_18 =
% 47.80/7.20      rat_6) &  ~ (rat_18 = rat_4) &  ~ (rat_18 = rat_3) &  ~ (rat_18 = rat_0) & 
% 47.80/7.20    ~ (rat_9 = rat_36) &  ~ (rat_9 = rat_2/3) &  ~ (rat_9 = rat_1/6) &  ~ (rat_9 =
% 47.80/7.20      rat_2) &  ~ (rat_9 = rat_-6) &  ~ (rat_9 = rat_3/4) &  ~ (rat_9 = rat_12) & 
% 47.80/7.20    ~ (rat_9 = rat_7) &  ~ (rat_9 = rat_3/2) &  ~ (rat_9 = rat_24) &  ~ (rat_9 =
% 47.80/7.20      rat_-2) &  ~ (rat_9 = rat_10) &  ~ (rat_9 = rat_1) &  ~ (rat_9 = rat_1/4) & 
% 47.80/7.20    ~ (rat_9 = rat_16) &  ~ (rat_9 = rat_8) &  ~ (rat_9 = rat_-4) &  ~ (rat_9 =
% 47.80/7.20      rat_6) &  ~ (rat_9 = rat_4) &  ~ (rat_9 = rat_3) &  ~ (rat_9 = rat_0) &  ~
% 47.80/7.20    (rat_36 = rat_2/3) &  ~ (rat_36 = rat_1/6) &  ~ (rat_36 = rat_2) &  ~ (rat_36
% 47.80/7.20      = rat_-6) &  ~ (rat_36 = rat_3/4) &  ~ (rat_36 = rat_12) &  ~ (rat_36 =
% 47.80/7.20      rat_7) &  ~ (rat_36 = rat_3/2) &  ~ (rat_36 = rat_24) &  ~ (rat_36 = rat_-2)
% 47.80/7.20    &  ~ (rat_36 = rat_10) &  ~ (rat_36 = rat_1) &  ~ (rat_36 = rat_1/4) &  ~
% 47.80/7.20    (rat_36 = rat_16) &  ~ (rat_36 = rat_8) &  ~ (rat_36 = rat_-4) &  ~ (rat_36 =
% 47.80/7.20      rat_6) &  ~ (rat_36 = rat_4) &  ~ (rat_36 = rat_3) &  ~ (rat_36 = rat_0) & 
% 47.80/7.20    ~ (rat_2/3 = rat_1/6) &  ~ (rat_2/3 = rat_2) &  ~ (rat_2/3 = rat_-6) &  ~
% 47.80/7.20    (rat_2/3 = rat_3/4) &  ~ (rat_2/3 = rat_12) &  ~ (rat_2/3 = rat_7) &  ~
% 47.80/7.20    (rat_2/3 = rat_3/2) &  ~ (rat_2/3 = rat_24) &  ~ (rat_2/3 = rat_-2) &  ~
% 47.80/7.20    (rat_2/3 = rat_10) &  ~ (rat_2/3 = rat_1) &  ~ (rat_2/3 = rat_1/4) &  ~
% 47.80/7.20    (rat_2/3 = rat_16) &  ~ (rat_2/3 = rat_8) &  ~ (rat_2/3 = rat_-4) &  ~
% 47.80/7.20    (rat_2/3 = rat_6) &  ~ (rat_2/3 = rat_4) &  ~ (rat_2/3 = rat_3) &  ~ (rat_2/3
% 47.80/7.20      = rat_0) &  ~ (rat_1/6 = rat_2) &  ~ (rat_1/6 = rat_-6) &  ~ (rat_1/6 =
% 47.80/7.20      rat_3/4) &  ~ (rat_1/6 = rat_12) &  ~ (rat_1/6 = rat_7) &  ~ (rat_1/6 =
% 47.80/7.20      rat_3/2) &  ~ (rat_1/6 = rat_24) &  ~ (rat_1/6 = rat_-2) &  ~ (rat_1/6 =
% 47.80/7.20      rat_10) &  ~ (rat_1/6 = rat_1) &  ~ (rat_1/6 = rat_1/4) &  ~ (rat_1/6 =
% 47.80/7.20      rat_16) &  ~ (rat_1/6 = rat_8) &  ~ (rat_1/6 = rat_-4) &  ~ (rat_1/6 =
% 47.80/7.20      rat_6) &  ~ (rat_1/6 = rat_4) &  ~ (rat_1/6 = rat_3) &  ~ (rat_1/6 = rat_0)
% 47.80/7.20    &  ~ (rat_2 = rat_-6) &  ~ (rat_2 = rat_3/4) &  ~ (rat_2 = rat_12) &  ~ (rat_2
% 47.80/7.20      = rat_7) &  ~ (rat_2 = rat_3/2) &  ~ (rat_2 = rat_24) &  ~ (rat_2 = rat_-2)
% 47.80/7.20    &  ~ (rat_2 = rat_10) &  ~ (rat_2 = rat_1) &  ~ (rat_2 = rat_1/4) &  ~ (rat_2
% 47.80/7.20      = rat_16) &  ~ (rat_2 = rat_8) &  ~ (rat_2 = rat_-4) &  ~ (rat_2 = rat_6) & 
% 47.80/7.20    ~ (rat_2 = rat_4) &  ~ (rat_2 = rat_3) &  ~ (rat_2 = rat_0) &  ~ (rat_-6 =
% 47.80/7.20      rat_3/4) &  ~ (rat_-6 = rat_12) &  ~ (rat_-6 = rat_7) &  ~ (rat_-6 =
% 47.80/7.20      rat_3/2) &  ~ (rat_-6 = rat_24) &  ~ (rat_-6 = rat_-2) &  ~ (rat_-6 =
% 47.80/7.20      rat_10) &  ~ (rat_-6 = rat_1) &  ~ (rat_-6 = rat_1/4) &  ~ (rat_-6 = rat_16)
% 47.80/7.20    &  ~ (rat_-6 = rat_8) &  ~ (rat_-6 = rat_-4) &  ~ (rat_-6 = rat_6) &  ~
% 47.80/7.20    (rat_-6 = rat_4) &  ~ (rat_-6 = rat_3) &  ~ (rat_-6 = rat_0) &  ~ (rat_3/4 =
% 47.80/7.20      rat_12) &  ~ (rat_3/4 = rat_7) &  ~ (rat_3/4 = rat_3/2) &  ~ (rat_3/4 =
% 47.80/7.20      rat_24) &  ~ (rat_3/4 = rat_-2) &  ~ (rat_3/4 = rat_10) &  ~ (rat_3/4 =
% 47.80/7.20      rat_1) &  ~ (rat_3/4 = rat_1/4) &  ~ (rat_3/4 = rat_16) &  ~ (rat_3/4 =
% 47.80/7.20      rat_8) &  ~ (rat_3/4 = rat_-4) &  ~ (rat_3/4 = rat_6) &  ~ (rat_3/4 = rat_4)
% 47.80/7.20    &  ~ (rat_3/4 = rat_3) &  ~ (rat_3/4 = rat_0) &  ~ (rat_12 = rat_7) &  ~
% 47.80/7.20    (rat_12 = rat_3/2) &  ~ (rat_12 = rat_24) &  ~ (rat_12 = rat_-2) &  ~ (rat_12
% 47.80/7.20      = rat_10) &  ~ (rat_12 = rat_1) &  ~ (rat_12 = rat_1/4) &  ~ (rat_12 =
% 47.80/7.20      rat_16) &  ~ (rat_12 = rat_8) &  ~ (rat_12 = rat_-4) &  ~ (rat_12 = rat_6) &
% 47.80/7.20     ~ (rat_12 = rat_4) &  ~ (rat_12 = rat_3) &  ~ (rat_12 = rat_0) &  ~ (rat_7 =
% 47.80/7.20      rat_3/2) &  ~ (rat_7 = rat_24) &  ~ (rat_7 = rat_-2) &  ~ (rat_7 = rat_10) &
% 47.80/7.20     ~ (rat_7 = rat_1) &  ~ (rat_7 = rat_1/4) &  ~ (rat_7 = rat_16) &  ~ (rat_7 =
% 47.80/7.20      rat_8) &  ~ (rat_7 = rat_-4) &  ~ (rat_7 = rat_6) &  ~ (rat_7 = rat_4) &  ~
% 47.80/7.20    (rat_7 = rat_3) &  ~ (rat_7 = rat_0) &  ~ (rat_3/2 = rat_24) &  ~ (rat_3/2 =
% 47.80/7.20      rat_-2) &  ~ (rat_3/2 = rat_10) &  ~ (rat_3/2 = rat_1) &  ~ (rat_3/2 =
% 47.80/7.20      rat_1/4) &  ~ (rat_3/2 = rat_16) &  ~ (rat_3/2 = rat_8) &  ~ (rat_3/2 =
% 47.80/7.20      rat_-4) &  ~ (rat_3/2 = rat_6) &  ~ (rat_3/2 = rat_4) &  ~ (rat_3/2 = rat_3)
% 47.80/7.20    &  ~ (rat_3/2 = rat_0) &  ~ (rat_24 = rat_-2) &  ~ (rat_24 = rat_10) &  ~
% 47.80/7.20    (rat_24 = rat_1) &  ~ (rat_24 = rat_1/4) &  ~ (rat_24 = rat_16) &  ~ (rat_24 =
% 47.80/7.20      rat_8) &  ~ (rat_24 = rat_-4) &  ~ (rat_24 = rat_6) &  ~ (rat_24 = rat_4) & 
% 47.80/7.20    ~ (rat_24 = rat_3) &  ~ (rat_24 = rat_0) &  ~ (rat_-2 = rat_10) &  ~ (rat_-2 =
% 47.80/7.20      rat_1) &  ~ (rat_-2 = rat_1/4) &  ~ (rat_-2 = rat_16) &  ~ (rat_-2 = rat_8)
% 47.80/7.20    &  ~ (rat_-2 = rat_-4) &  ~ (rat_-2 = rat_6) &  ~ (rat_-2 = rat_4) &  ~
% 47.80/7.20    (rat_-2 = rat_3) &  ~ (rat_-2 = rat_0) &  ~ (rat_10 = rat_1) &  ~ (rat_10 =
% 47.80/7.20      rat_1/4) &  ~ (rat_10 = rat_16) &  ~ (rat_10 = rat_8) &  ~ (rat_10 = rat_-4)
% 47.80/7.20    &  ~ (rat_10 = rat_6) &  ~ (rat_10 = rat_4) &  ~ (rat_10 = rat_3) &  ~ (rat_10
% 47.80/7.20      = rat_0) &  ~ (rat_1 = rat_1/4) &  ~ (rat_1 = rat_16) &  ~ (rat_1 = rat_8) &
% 47.80/7.20     ~ (rat_1 = rat_-4) &  ~ (rat_1 = rat_6) &  ~ (rat_1 = rat_4) &  ~ (rat_1 =
% 47.80/7.20      rat_3) &  ~ (rat_1 = rat_0) &  ~ (rat_1/4 = rat_16) &  ~ (rat_1/4 = rat_8) &
% 47.80/7.20     ~ (rat_1/4 = rat_-4) &  ~ (rat_1/4 = rat_6) &  ~ (rat_1/4 = rat_4) &  ~
% 47.80/7.20    (rat_1/4 = rat_3) &  ~ (rat_1/4 = rat_0) &  ~ (rat_16 = rat_8) &  ~ (rat_16 =
% 47.80/7.20      rat_-4) &  ~ (rat_16 = rat_6) &  ~ (rat_16 = rat_4) &  ~ (rat_16 = rat_3) & 
% 47.80/7.20    ~ (rat_16 = rat_0) &  ~ (rat_8 = rat_-4) &  ~ (rat_8 = rat_6) &  ~ (rat_8 =
% 47.80/7.20      rat_4) &  ~ (rat_8 = rat_3) &  ~ (rat_8 = rat_0) &  ~ (rat_-4 = rat_6) &  ~
% 47.80/7.20    (rat_-4 = rat_4) &  ~ (rat_-4 = rat_3) &  ~ (rat_-4 = rat_0) &  ~ (rat_6 =
% 47.80/7.20      rat_4) &  ~ (rat_6 = rat_3) &  ~ (rat_6 = rat_0) &  ~ (rat_4 = rat_3) &  ~
% 47.80/7.20    (rat_4 = rat_0) &  ~ (rat_3 = rat_0) & rat_$floor(rat_4/3) = rat_1 &
% 47.80/7.20    rat_$floor(rat_1/3) = rat_0 & rat_$floor(rat_-1) = rat_-1 & rat_$floor(rat_-3)
% 47.80/7.20    = rat_-3 & rat_$floor(rat_1/2) = rat_0 & rat_$floor(rat_18) = rat_18 &
% 47.80/7.20    rat_$floor(rat_9) = rat_9 & rat_$floor(rat_36) = rat_36 & rat_$floor(rat_2/3)
% 47.80/7.20    = rat_0 & rat_$floor(rat_1/6) = rat_0 & rat_$floor(rat_2) = rat_2 &
% 47.80/7.20    rat_$floor(rat_-6) = rat_-6 & rat_$floor(rat_3/4) = rat_0 & rat_$floor(rat_12)
% 47.80/7.20    = rat_12 & rat_$floor(rat_7) = rat_7 & rat_$floor(rat_3/2) = rat_1 &
% 47.80/7.20    rat_$floor(rat_24) = rat_24 & rat_$floor(rat_-2) = rat_-2 & rat_$floor(rat_10)
% 47.80/7.20    = rat_10 & rat_$floor(rat_1) = rat_1 & rat_$floor(rat_1/4) = rat_0 &
% 47.80/7.20    rat_$floor(rat_16) = rat_16 & rat_$floor(rat_8) = rat_8 & rat_$floor(rat_-4) =
% 47.80/7.20    rat_-4 & rat_$floor(rat_6) = rat_6 & rat_$floor(rat_4) = rat_4 &
% 47.80/7.20    rat_$floor(rat_3) = rat_3 & rat_$floor(rat_0) = rat_0 & rat_$ceiling(rat_4/3)
% 47.80/7.20    = rat_2 & rat_$ceiling(rat_1/3) = rat_1 & rat_$ceiling(rat_-1) = rat_-1 &
% 47.80/7.20    rat_$ceiling(rat_-3) = rat_-3 & rat_$ceiling(rat_1/2) = rat_1 &
% 47.80/7.20    rat_$ceiling(rat_18) = rat_18 & rat_$ceiling(rat_9) = rat_9 &
% 47.80/7.20    rat_$ceiling(rat_36) = rat_36 & rat_$ceiling(rat_2/3) = rat_1 &
% 47.80/7.20    rat_$ceiling(rat_1/6) = rat_1 & rat_$ceiling(rat_2) = rat_2 &
% 47.80/7.20    rat_$ceiling(rat_-6) = rat_-6 & rat_$ceiling(rat_3/4) = rat_1 &
% 47.80/7.20    rat_$ceiling(rat_12) = rat_12 & rat_$ceiling(rat_7) = rat_7 &
% 47.80/7.20    rat_$ceiling(rat_3/2) = rat_2 & rat_$ceiling(rat_24) = rat_24 &
% 47.80/7.20    rat_$ceiling(rat_-2) = rat_-2 & rat_$ceiling(rat_10) = rat_10 &
% 47.80/7.20    rat_$ceiling(rat_1) = rat_1 & rat_$ceiling(rat_1/4) = rat_1 &
% 47.80/7.20    rat_$ceiling(rat_16) = rat_16 & rat_$ceiling(rat_8) = rat_8 &
% 47.80/7.20    rat_$ceiling(rat_-4) = rat_-4 & rat_$ceiling(rat_6) = rat_6 &
% 47.80/7.20    rat_$ceiling(rat_4) = rat_4 & rat_$ceiling(rat_3) = rat_3 &
% 47.80/7.20    rat_$ceiling(rat_0) = rat_0 & rat_$truncate(rat_4/3) = rat_1 &
% 47.80/7.20    rat_$truncate(rat_1/3) = rat_0 & rat_$truncate(rat_-1) = rat_-1 &
% 47.80/7.20    rat_$truncate(rat_-3) = rat_-3 & rat_$truncate(rat_1/2) = rat_0 &
% 47.80/7.20    rat_$truncate(rat_18) = rat_18 & rat_$truncate(rat_9) = rat_9 &
% 47.80/7.20    rat_$truncate(rat_36) = rat_36 & rat_$truncate(rat_2/3) = rat_0 &
% 47.80/7.20    rat_$truncate(rat_1/6) = rat_0 & rat_$truncate(rat_2) = rat_2 &
% 47.80/7.20    rat_$truncate(rat_-6) = rat_-6 & rat_$truncate(rat_3/4) = rat_0 &
% 47.80/7.20    rat_$truncate(rat_12) = rat_12 & rat_$truncate(rat_7) = rat_7 &
% 47.80/7.20    rat_$truncate(rat_3/2) = rat_1 & rat_$truncate(rat_24) = rat_24 &
% 47.80/7.20    rat_$truncate(rat_-2) = rat_-2 & rat_$truncate(rat_10) = rat_10 &
% 47.80/7.20    rat_$truncate(rat_1) = rat_1 & rat_$truncate(rat_1/4) = rat_0 &
% 47.80/7.20    rat_$truncate(rat_16) = rat_16 & rat_$truncate(rat_8) = rat_8 &
% 47.80/7.20    rat_$truncate(rat_-4) = rat_-4 & rat_$truncate(rat_6) = rat_6 &
% 47.80/7.20    rat_$truncate(rat_4) = rat_4 & rat_$truncate(rat_3) = rat_3 &
% 47.80/7.20    rat_$truncate(rat_0) = rat_0 & rat_$round(rat_4/3) = rat_1 &
% 47.80/7.20    rat_$round(rat_1/3) = rat_0 & rat_$round(rat_-1) = rat_-1 & rat_$round(rat_-3)
% 47.80/7.20    = rat_-3 & rat_$round(rat_1/2) = rat_1 & rat_$round(rat_18) = rat_18 &
% 47.80/7.20    rat_$round(rat_9) = rat_9 & rat_$round(rat_36) = rat_36 & rat_$round(rat_2/3)
% 47.80/7.20    = rat_1 & rat_$round(rat_1/6) = rat_0 & rat_$round(rat_2) = rat_2 &
% 47.80/7.20    rat_$round(rat_-6) = rat_-6 & rat_$round(rat_3/4) = rat_1 & rat_$round(rat_12)
% 47.80/7.20    = rat_12 & rat_$round(rat_7) = rat_7 & rat_$round(rat_3/2) = rat_2 &
% 47.80/7.20    rat_$round(rat_24) = rat_24 & rat_$round(rat_-2) = rat_-2 & rat_$round(rat_10)
% 47.80/7.20    = rat_10 & rat_$round(rat_1) = rat_1 & rat_$round(rat_1/4) = rat_0 &
% 47.80/7.20    rat_$round(rat_16) = rat_16 & rat_$round(rat_8) = rat_8 & rat_$round(rat_-4) =
% 47.80/7.20    rat_-4 & rat_$round(rat_6) = rat_6 & rat_$round(rat_4) = rat_4 &
% 47.80/7.20    rat_$round(rat_3) = rat_3 & rat_$round(rat_0) = rat_0 & rat_$to_int(rat_4/3) =
% 47.80/7.20    1 & rat_$to_int(rat_1/3) = 0 & rat_$to_int(rat_-1) = -1 & rat_$to_int(rat_-3)
% 47.80/7.20    = -3 & rat_$to_int(rat_1/2) = 0 & rat_$to_int(rat_18) = 18 &
% 47.80/7.20    rat_$to_int(rat_9) = 9 & rat_$to_int(rat_36) = 36 & rat_$to_int(rat_2/3) = 0 &
% 47.80/7.20    rat_$to_int(rat_1/6) = 0 & rat_$to_int(rat_2) = 2 & rat_$to_int(rat_-6) = -6 &
% 47.80/7.20    rat_$to_int(rat_3/4) = 0 & rat_$to_int(rat_12) = 12 & rat_$to_int(rat_7) = 7 &
% 47.80/7.20    rat_$to_int(rat_3/2) = 1 & rat_$to_int(rat_24) = 24 & rat_$to_int(rat_-2) = -2
% 47.80/7.20    & rat_$to_int(rat_10) = 10 & rat_$to_int(rat_1) = 1 & rat_$to_int(rat_1/4) = 0
% 47.80/7.20    & rat_$to_int(rat_16) = 16 & rat_$to_int(rat_8) = 8 & rat_$to_int(rat_-4) = -4
% 47.80/7.20    & rat_$to_int(rat_6) = 6 & rat_$to_int(rat_4) = 4 & rat_$to_int(rat_3) = 3 &
% 47.80/7.20    rat_$to_int(rat_0) = 0 & rat_$to_rat(rat_4/3) = rat_4/3 & rat_$to_rat(rat_1/3)
% 47.80/7.20    = rat_1/3 & rat_$to_rat(rat_-1) = rat_-1 & rat_$to_rat(rat_-3) = rat_-3 &
% 47.80/7.20    rat_$to_rat(rat_1/2) = rat_1/2 & rat_$to_rat(rat_18) = rat_18 &
% 47.80/7.20    rat_$to_rat(rat_9) = rat_9 & rat_$to_rat(rat_36) = rat_36 &
% 47.80/7.20    rat_$to_rat(rat_2/3) = rat_2/3 & rat_$to_rat(rat_1/6) = rat_1/6 &
% 47.80/7.20    rat_$to_rat(rat_2) = rat_2 & rat_$to_rat(rat_-6) = rat_-6 &
% 47.80/7.20    rat_$to_rat(rat_3/4) = rat_3/4 & rat_$to_rat(rat_12) = rat_12 &
% 47.80/7.20    rat_$to_rat(rat_7) = rat_7 & rat_$to_rat(rat_3/2) = rat_3/2 &
% 47.80/7.20    rat_$to_rat(rat_24) = rat_24 & rat_$to_rat(rat_-2) = rat_-2 &
% 47.80/7.20    rat_$to_rat(rat_10) = rat_10 & rat_$to_rat(rat_1) = rat_1 &
% 47.80/7.20    rat_$to_rat(rat_1/4) = rat_1/4 & rat_$to_rat(rat_16) = rat_16 &
% 47.80/7.20    rat_$to_rat(rat_8) = rat_8 & rat_$to_rat(rat_-4) = rat_-4 & rat_$to_rat(rat_6)
% 47.80/7.20    = rat_6 & rat_$to_rat(rat_4) = rat_4 & rat_$to_rat(rat_3) = rat_3 &
% 47.80/7.20    rat_$to_rat(rat_0) = rat_0 & rat_$to_real(rat_4/3) = real_4/3 &
% 47.80/7.20    rat_$to_real(rat_1/3) = real_1/3 & rat_$to_real(rat_-1) = real_-1 &
% 47.80/7.20    rat_$to_real(rat_-3) = real_-3 & rat_$to_real(rat_1/2) = real_1/2 &
% 47.80/7.20    rat_$to_real(rat_18) = real_18 & rat_$to_real(rat_9) = real_9 &
% 47.80/7.20    rat_$to_real(rat_36) = real_36 & rat_$to_real(rat_2/3) = real_2/3 &
% 47.80/7.20    rat_$to_real(rat_1/6) = real_1/6 & rat_$to_real(rat_2) = real_2 &
% 47.80/7.20    rat_$to_real(rat_-6) = real_-6 & rat_$to_real(rat_3/4) = real_3/4 &
% 47.80/7.20    rat_$to_real(rat_12) = real_12 & rat_$to_real(rat_7) = real_7 &
% 47.80/7.20    rat_$to_real(rat_3/2) = real_3/2 & rat_$to_real(rat_24) = real_24 &
% 47.80/7.20    rat_$to_real(rat_-2) = real_-2 & rat_$to_real(rat_10) = real_10 &
% 47.80/7.20    rat_$to_real(rat_1) = real_1 & rat_$to_real(rat_1/4) = real_1/4 &
% 47.80/7.20    rat_$to_real(rat_16) = real_16 & rat_$to_real(rat_8) = real_8 &
% 47.80/7.20    rat_$to_real(rat_-4) = real_-4 & rat_$to_real(rat_6) = real_6 &
% 47.80/7.20    rat_$to_real(rat_4) = real_4 & rat_$to_real(rat_3) = real_3 &
% 47.80/7.20    rat_$to_real(rat_0) = real_0 & int_$to_rat(36) = rat_36 & int_$to_rat(24) =
% 47.80/7.20    rat_24 & int_$to_rat(18) = rat_18 & int_$to_rat(16) = rat_16 & int_$to_rat(12)
% 47.80/7.20    = rat_12 & int_$to_rat(10) = rat_10 & int_$to_rat(9) = rat_9 & int_$to_rat(8)
% 47.80/7.20    = rat_8 & int_$to_rat(7) = rat_7 & int_$to_rat(-6) = rat_-6 & int_$to_rat(6) =
% 47.80/7.20    rat_6 & int_$to_rat(-4) = rat_-4 & int_$to_rat(4) = rat_4 & int_$to_rat(-3) =
% 47.80/7.20    rat_-3 & int_$to_rat(3) = rat_3 & int_$to_rat(-2) = rat_-2 & int_$to_rat(2) =
% 47.80/7.20    rat_2 & int_$to_rat(-1) = rat_-1 & int_$to_rat(1) = rat_1 & int_$to_rat(0) =
% 47.80/7.20    rat_0 & rat_$quotient(rat_4/3, rat_4/3) = rat_1 & rat_$quotient(rat_4/3,
% 47.80/7.20      rat_1/3) = rat_4 & rat_$quotient(rat_4/3, rat_2/3) = rat_2 &
% 47.80/7.20    rat_$quotient(rat_4/3, rat_1/6) = rat_8 & rat_$quotient(rat_4/3, rat_2) =
% 47.80/7.20    rat_2/3 & rat_$quotient(rat_4/3, rat_1) = rat_4/3 & rat_$quotient(rat_4/3,
% 47.80/7.20      rat_8) = rat_1/6 & rat_$quotient(rat_4/3, rat_4) = rat_1/3 &
% 47.80/7.20    rat_$quotient(rat_1/3, rat_4/3) = rat_1/4 & rat_$quotient(rat_1/3, rat_1/3) =
% 47.80/7.20    rat_1 & rat_$quotient(rat_1/3, rat_1/2) = rat_2/3 & rat_$quotient(rat_1/3,
% 47.80/7.20      rat_2/3) = rat_1/2 & rat_$quotient(rat_1/3, rat_1/6) = rat_2 &
% 47.80/7.20    rat_$quotient(rat_1/3, rat_2) = rat_1/6 & rat_$quotient(rat_1/3, rat_1) =
% 47.80/7.20    rat_1/3 & rat_$quotient(rat_1/3, rat_1/4) = rat_4/3 & rat_$quotient(rat_-1,
% 47.80/7.20      rat_1/3) = rat_-3 & rat_$quotient(rat_-1, rat_-1) = rat_1 &
% 47.80/7.20    rat_$quotient(rat_-1, rat_-3) = rat_1/3 & rat_$quotient(rat_-1, rat_1/2) =
% 47.80/7.20    rat_-2 & rat_$quotient(rat_-1, rat_1/6) = rat_-6 & rat_$quotient(rat_-1,
% 47.80/7.20      rat_-6) = rat_1/6 & rat_$quotient(rat_-1, rat_-2) = rat_1/2 &
% 47.80/7.20    rat_$quotient(rat_-1, rat_1) = rat_-1 & rat_$quotient(rat_-1, rat_1/4) =
% 47.80/7.20    rat_-4 & rat_$quotient(rat_-1, rat_-4) = rat_1/4 & rat_$quotient(rat_-3,
% 47.80/7.20      rat_-1) = rat_3 & rat_$quotient(rat_-3, rat_-3) = rat_1 &
% 47.80/7.20    rat_$quotient(rat_-3, rat_1/2) = rat_-6 & rat_$quotient(rat_-3, rat_-6) =
% 47.80/7.20    rat_1/2 & rat_$quotient(rat_-3, rat_3/4) = rat_-4 & rat_$quotient(rat_-3,
% 47.80/7.20      rat_3/2) = rat_-2 & rat_$quotient(rat_-3, rat_-2) = rat_3/2 &
% 47.80/7.20    rat_$quotient(rat_-3, rat_1) = rat_-3 & rat_$quotient(rat_-3, rat_-4) =
% 47.80/7.20    rat_3/4 & rat_$quotient(rat_-3, rat_3) = rat_-1 & rat_$quotient(rat_1/2,
% 47.80/7.20      rat_1/3) = rat_3/2 & rat_$quotient(rat_1/2, rat_1/2) = rat_1 &
% 47.80/7.20    rat_$quotient(rat_1/2, rat_2/3) = rat_3/4 & rat_$quotient(rat_1/2, rat_1/6) =
% 47.80/7.20    rat_3 & rat_$quotient(rat_1/2, rat_2) = rat_1/4 & rat_$quotient(rat_1/2,
% 47.80/7.20      rat_3/4) = rat_2/3 & rat_$quotient(rat_1/2, rat_3/2) = rat_1/3 &
% 47.80/7.20    rat_$quotient(rat_1/2, rat_1) = rat_1/2 & rat_$quotient(rat_1/2, rat_1/4) =
% 47.80/7.20    rat_2 & rat_$quotient(rat_1/2, rat_3) = rat_1/6 & rat_$quotient(rat_18,
% 47.80/7.20      rat_-3) = rat_-6 & rat_$quotient(rat_18, rat_1/2) = rat_36 &
% 47.80/7.20    rat_$quotient(rat_18, rat_18) = rat_1 & rat_$quotient(rat_18, rat_9) = rat_2 &
% 47.80/7.20    rat_$quotient(rat_18, rat_36) = rat_1/2 & rat_$quotient(rat_18, rat_2) = rat_9
% 47.80/7.20    & rat_$quotient(rat_18, rat_-6) = rat_-3 & rat_$quotient(rat_18, rat_3/4) =
% 47.80/7.20    rat_24 & rat_$quotient(rat_18, rat_12) = rat_3/2 & rat_$quotient(rat_18,
% 47.80/7.20      rat_3/2) = rat_12 & rat_$quotient(rat_18, rat_24) = rat_3/4 &
% 47.80/7.20    rat_$quotient(rat_18, rat_1) = rat_18 & rat_$quotient(rat_18, rat_6) = rat_3 &
% 47.80/7.20    rat_$quotient(rat_18, rat_3) = rat_6 & rat_$quotient(rat_9, rat_-3) = rat_-3 &
% 47.80/7.20    rat_$quotient(rat_9, rat_1/2) = rat_18 & rat_$quotient(rat_9, rat_18) =
% 47.80/7.20    rat_1/2 & rat_$quotient(rat_9, rat_9) = rat_1 & rat_$quotient(rat_9, rat_36) =
% 47.80/7.20    rat_1/4 & rat_$quotient(rat_9, rat_3/4) = rat_12 & rat_$quotient(rat_9,
% 47.80/7.20      rat_12) = rat_3/4 & rat_$quotient(rat_9, rat_3/2) = rat_6 &
% 47.80/7.20    rat_$quotient(rat_9, rat_1) = rat_9 & rat_$quotient(rat_9, rat_1/4) = rat_36 &
% 47.80/7.20    rat_$quotient(rat_9, rat_6) = rat_3/2 & rat_$quotient(rat_9, rat_3) = rat_3 &
% 47.80/7.20    rat_$quotient(rat_36, rat_18) = rat_2 & rat_$quotient(rat_36, rat_9) = rat_4 &
% 47.80/7.20    rat_$quotient(rat_36, rat_36) = rat_1 & rat_$quotient(rat_36, rat_2) = rat_18
% 47.80/7.20    & rat_$quotient(rat_36, rat_-6) = rat_-6 & rat_$quotient(rat_36, rat_12) =
% 47.80/7.20    rat_3 & rat_$quotient(rat_36, rat_3/2) = rat_24 & rat_$quotient(rat_36,
% 47.80/7.20      rat_24) = rat_3/2 & rat_$quotient(rat_36, rat_1) = rat_36 &
% 47.80/7.20    rat_$quotient(rat_36, rat_6) = rat_6 & rat_$quotient(rat_36, rat_4) = rat_9 &
% 47.80/7.20    rat_$quotient(rat_36, rat_3) = rat_12 & rat_$quotient(rat_2/3, rat_4/3) =
% 47.80/7.20    rat_1/2 & rat_$quotient(rat_2/3, rat_1/3) = rat_2 & rat_$quotient(rat_2/3,
% 47.80/7.20      rat_1/2) = rat_4/3 & rat_$quotient(rat_2/3, rat_2/3) = rat_1 &
% 47.80/7.20    rat_$quotient(rat_2/3, rat_1/6) = rat_4 & rat_$quotient(rat_2/3, rat_2) =
% 47.80/7.20    rat_1/3 & rat_$quotient(rat_2/3, rat_1) = rat_2/3 & rat_$quotient(rat_2/3,
% 47.80/7.20      rat_4) = rat_1/6 & rat_$quotient(rat_1/6, rat_1/3) = rat_1/2 &
% 47.80/7.20    rat_$quotient(rat_1/6, rat_1/2) = rat_1/3 & rat_$quotient(rat_1/6, rat_2/3) =
% 47.80/7.20    rat_1/4 & rat_$quotient(rat_1/6, rat_1/6) = rat_1 & rat_$quotient(rat_1/6,
% 47.80/7.20      rat_1) = rat_1/6 & rat_$quotient(rat_1/6, rat_1/4) = rat_2/3 &
% 47.80/7.20    rat_$quotient(rat_2, rat_4/3) = rat_3/2 & rat_$quotient(rat_2, rat_1/3) =
% 47.80/7.20    rat_6 & rat_$quotient(rat_2, rat_-1) = rat_-2 & rat_$quotient(rat_2, rat_1/2)
% 47.80/7.20    = rat_4 & rat_$quotient(rat_2, rat_2/3) = rat_3 & rat_$quotient(rat_2,
% 47.80/7.20      rat_1/6) = rat_12 & rat_$quotient(rat_2, rat_2) = rat_1 &
% 47.80/7.20    rat_$quotient(rat_2, rat_12) = rat_1/6 & rat_$quotient(rat_2, rat_3/2) =
% 47.80/7.20    rat_4/3 & rat_$quotient(rat_2, rat_-2) = rat_-1 & rat_$quotient(rat_2, rat_1)
% 47.80/7.20    = rat_2 & rat_$quotient(rat_2, rat_1/4) = rat_8 & rat_$quotient(rat_2, rat_8)
% 47.80/7.20    = rat_1/4 & rat_$quotient(rat_2, rat_6) = rat_1/3 & rat_$quotient(rat_2,
% 47.80/7.20      rat_4) = rat_1/2 & rat_$quotient(rat_2, rat_3) = rat_2/3 &
% 47.80/7.20    rat_$quotient(rat_-6, rat_-1) = rat_6 & rat_$quotient(rat_-6, rat_-3) = rat_2
% 47.80/7.20    & rat_$quotient(rat_-6, rat_2) = rat_-3 & rat_$quotient(rat_-6, rat_-6) =
% 47.80/7.20    rat_1 & rat_$quotient(rat_-6, rat_3/2) = rat_-4 & rat_$quotient(rat_-6,
% 47.80/7.20      rat_-2) = rat_3 & rat_$quotient(rat_-6, rat_1) = rat_-6 &
% 47.80/7.20    rat_$quotient(rat_-6, rat_-4) = rat_3/2 & rat_$quotient(rat_-6, rat_6) =
% 47.80/7.20    rat_-1 & rat_$quotient(rat_-6, rat_3) = rat_-2 & rat_$quotient(rat_3/4,
% 47.80/7.20      rat_1/2) = rat_3/2 & rat_$quotient(rat_3/4, rat_3/4) = rat_1 &
% 47.80/7.20    rat_$quotient(rat_3/4, rat_3/2) = rat_1/2 & rat_$quotient(rat_3/4, rat_1) =
% 47.80/7.20    rat_3/4 & rat_$quotient(rat_3/4, rat_1/4) = rat_3 & rat_$quotient(rat_3/4,
% 47.80/7.20      rat_3) = rat_1/4 & rat_$quotient(rat_12, rat_4/3) = rat_9 &
% 47.80/7.20    rat_$quotient(rat_12, rat_1/3) = rat_36 & rat_$quotient(rat_12, rat_-3) =
% 47.80/7.20    rat_-4 & rat_$quotient(rat_12, rat_1/2) = rat_24 & rat_$quotient(rat_12,
% 47.80/7.20      rat_18) = rat_2/3 & rat_$quotient(rat_12, rat_9) = rat_4/3 &
% 47.80/7.20    rat_$quotient(rat_12, rat_36) = rat_1/3 & rat_$quotient(rat_12, rat_2/3) =
% 47.80/7.20    rat_18 & rat_$quotient(rat_12, rat_2) = rat_6 & rat_$quotient(rat_12, rat_-6)
% 47.80/7.20    = rat_-2 & rat_$quotient(rat_12, rat_3/4) = rat_16 & rat_$quotient(rat_12,
% 47.80/7.20      rat_12) = rat_1 & rat_$quotient(rat_12, rat_3/2) = rat_8 &
% 47.80/7.20    rat_$quotient(rat_12, rat_24) = rat_1/2 & rat_$quotient(rat_12, rat_-2) =
% 47.80/7.20    rat_-6 & rat_$quotient(rat_12, rat_1) = rat_12 & rat_$quotient(rat_12, rat_16)
% 47.80/7.20    = rat_3/4 & rat_$quotient(rat_12, rat_8) = rat_3/2 & rat_$quotient(rat_12,
% 47.80/7.20      rat_-4) = rat_-3 & rat_$quotient(rat_12, rat_6) = rat_2 &
% 47.80/7.20    rat_$quotient(rat_12, rat_4) = rat_3 & rat_$quotient(rat_12, rat_3) = rat_4 &
% 47.80/7.20    rat_$quotient(rat_7, rat_7) = rat_1 & rat_$quotient(rat_7, rat_1) = rat_7 &
% 47.80/7.20    rat_$quotient(rat_3/2, rat_1/2) = rat_3 & rat_$quotient(rat_3/2, rat_9) =
% 47.80/7.20    rat_1/6 & rat_$quotient(rat_3/2, rat_1/6) = rat_9 & rat_$quotient(rat_3/2,
% 47.80/7.20      rat_2) = rat_3/4 & rat_$quotient(rat_3/2, rat_3/4) = rat_2 &
% 47.80/7.20    rat_$quotient(rat_3/2, rat_3/2) = rat_1 & rat_$quotient(rat_3/2, rat_1) =
% 47.80/7.20    rat_3/2 & rat_$quotient(rat_3/2, rat_1/4) = rat_6 & rat_$quotient(rat_3/2,
% 47.80/7.20      rat_6) = rat_1/4 & rat_$quotient(rat_3/2, rat_3) = rat_1/2 &
% 47.80/7.20    rat_$quotient(rat_24, rat_4/3) = rat_18 & rat_$quotient(rat_24, rat_18) =
% 47.80/7.20    rat_4/3 & rat_$quotient(rat_24, rat_36) = rat_2/3 & rat_$quotient(rat_24,
% 47.80/7.20      rat_2/3) = rat_36 & rat_$quotient(rat_24, rat_2) = rat_12 &
% 47.80/7.20    rat_$quotient(rat_24, rat_-6) = rat_-4 & rat_$quotient(rat_24, rat_12) = rat_2
% 47.80/7.20    & rat_$quotient(rat_24, rat_3/2) = rat_16 & rat_$quotient(rat_24, rat_24) =
% 47.80/7.20    rat_1 & rat_$quotient(rat_24, rat_1) = rat_24 & rat_$quotient(rat_24, rat_16)
% 47.80/7.20    = rat_3/2 & rat_$quotient(rat_24, rat_8) = rat_3 & rat_$quotient(rat_24,
% 47.80/7.20      rat_-4) = rat_-6 & rat_$quotient(rat_24, rat_6) = rat_4 &
% 47.80/7.20    rat_$quotient(rat_24, rat_4) = rat_6 & rat_$quotient(rat_24, rat_3) = rat_8 &
% 47.80/7.20    rat_$quotient(rat_-2, rat_1/3) = rat_-6 & rat_$quotient(rat_-2, rat_-1) =
% 47.80/7.20    rat_2 & rat_$quotient(rat_-2, rat_-3) = rat_2/3 & rat_$quotient(rat_-2,
% 47.80/7.20      rat_1/2) = rat_-4 & rat_$quotient(rat_-2, rat_2/3) = rat_-3 &
% 47.80/7.20    rat_$quotient(rat_-2, rat_2) = rat_-1 & rat_$quotient(rat_-2, rat_-6) =
% 47.80/7.20    rat_1/3 & rat_$quotient(rat_-2, rat_-2) = rat_1 & rat_$quotient(rat_-2, rat_1)
% 47.80/7.20    = rat_-2 & rat_$quotient(rat_-2, rat_-4) = rat_1/2 & rat_$quotient(rat_10,
% 47.80/7.20      rat_10) = rat_1 & rat_$quotient(rat_10, rat_1) = rat_10 &
% 47.80/7.20    rat_$quotient(rat_1, rat_4/3) = rat_3/4 & rat_$quotient(rat_1, rat_1/3) =
% 47.80/7.20    rat_3 & rat_$quotient(rat_1, rat_-1) = rat_-1 & rat_$quotient(rat_1, rat_1/2)
% 47.80/7.20    = rat_2 & rat_$quotient(rat_1, rat_2/3) = rat_3/2 & rat_$quotient(rat_1,
% 47.80/7.20      rat_1/6) = rat_6 & rat_$quotient(rat_1, rat_2) = rat_1/2 &
% 47.80/7.20    rat_$quotient(rat_1, rat_3/4) = rat_4/3 & rat_$quotient(rat_1, rat_3/2) =
% 47.80/7.20    rat_2/3 & rat_$quotient(rat_1, rat_1) = rat_1 & rat_$quotient(rat_1, rat_1/4)
% 47.80/7.20    = rat_4 & rat_$quotient(rat_1, rat_6) = rat_1/6 & rat_$quotient(rat_1, rat_4)
% 47.80/7.20    = rat_1/4 & rat_$quotient(rat_1, rat_3) = rat_1/3 & rat_$quotient(rat_1/4,
% 47.80/7.20      rat_1/3) = rat_3/4 & rat_$quotient(rat_1/4, rat_1/2) = rat_1/2 &
% 47.80/7.20    rat_$quotient(rat_1/4, rat_1/6) = rat_3/2 & rat_$quotient(rat_1/4, rat_3/4) =
% 47.80/7.20    rat_1/3 & rat_$quotient(rat_1/4, rat_3/2) = rat_1/6 & rat_$quotient(rat_1/4,
% 47.80/7.20      rat_1) = rat_1/4 & rat_$quotient(rat_1/4, rat_1/4) = rat_1 &
% 47.80/7.20    rat_$quotient(rat_16, rat_4/3) = rat_12 & rat_$quotient(rat_16, rat_2/3) =
% 47.80/7.20    rat_24 & rat_$quotient(rat_16, rat_2) = rat_8 & rat_$quotient(rat_16, rat_12)
% 47.80/7.20    = rat_4/3 & rat_$quotient(rat_16, rat_24) = rat_2/3 & rat_$quotient(rat_16,
% 47.80/7.20      rat_1) = rat_16 & rat_$quotient(rat_16, rat_16) = rat_1 &
% 47.80/7.20    rat_$quotient(rat_16, rat_8) = rat_2 & rat_$quotient(rat_16, rat_-4) = rat_-4
% 47.80/7.20    & rat_$quotient(rat_16, rat_4) = rat_4 & rat_$quotient(rat_8, rat_4/3) = rat_6
% 47.80/7.20    & rat_$quotient(rat_8, rat_1/3) = rat_24 & rat_$quotient(rat_8, rat_1/2) =
% 47.80/7.20    rat_16 & rat_$quotient(rat_8, rat_2/3) = rat_12 & rat_$quotient(rat_8, rat_2)
% 47.80/7.20    = rat_4 & rat_$quotient(rat_8, rat_12) = rat_2/3 & rat_$quotient(rat_8,
% 47.80/7.20      rat_24) = rat_1/3 & rat_$quotient(rat_8, rat_-2) = rat_-4 &
% 47.80/7.20    rat_$quotient(rat_8, rat_1) = rat_8 & rat_$quotient(rat_8, rat_16) = rat_1/2 &
% 47.80/7.20    rat_$quotient(rat_8, rat_8) = rat_1 & rat_$quotient(rat_8, rat_-4) = rat_-2 &
% 47.80/7.20    rat_$quotient(rat_8, rat_6) = rat_4/3 & rat_$quotient(rat_8, rat_4) = rat_2 &
% 47.80/7.20    rat_$quotient(rat_-4, rat_4/3) = rat_-3 & rat_$quotient(rat_-4, rat_-1) =
% 47.80/7.20    rat_4 & rat_$quotient(rat_-4, rat_-3) = rat_4/3 & rat_$quotient(rat_-4,
% 47.80/7.20      rat_2/3) = rat_-6 & rat_$quotient(rat_-4, rat_2) = rat_-2 &
% 47.80/7.20    rat_$quotient(rat_-4, rat_-6) = rat_2/3 & rat_$quotient(rat_-4, rat_-2) =
% 47.80/7.20    rat_2 & rat_$quotient(rat_-4, rat_1) = rat_-4 & rat_$quotient(rat_-4, rat_-4)
% 47.80/7.20    = rat_1 & rat_$quotient(rat_-4, rat_4) = rat_-1 & rat_$quotient(rat_6,
% 47.80/7.20      rat_1/3) = rat_18 & rat_$quotient(rat_6, rat_-1) = rat_-6 &
% 47.80/7.20    rat_$quotient(rat_6, rat_-3) = rat_-2 & rat_$quotient(rat_6, rat_1/2) = rat_12
% 47.80/7.20    & rat_$quotient(rat_6, rat_18) = rat_1/3 & rat_$quotient(rat_6, rat_9) =
% 47.80/7.20    rat_2/3 & rat_$quotient(rat_6, rat_36) = rat_1/6 & rat_$quotient(rat_6,
% 47.80/7.20      rat_2/3) = rat_9 & rat_$quotient(rat_6, rat_1/6) = rat_36 &
% 47.80/7.20    rat_$quotient(rat_6, rat_2) = rat_3 & rat_$quotient(rat_6, rat_-6) = rat_-1 &
% 47.80/7.20    rat_$quotient(rat_6, rat_3/4) = rat_8 & rat_$quotient(rat_6, rat_12) = rat_1/2
% 47.80/7.20    & rat_$quotient(rat_6, rat_3/2) = rat_4 & rat_$quotient(rat_6, rat_24) =
% 47.80/7.20    rat_1/4 & rat_$quotient(rat_6, rat_-2) = rat_-3 & rat_$quotient(rat_6, rat_1)
% 47.80/7.20    = rat_6 & rat_$quotient(rat_6, rat_1/4) = rat_24 & rat_$quotient(rat_6, rat_8)
% 47.80/7.20    = rat_3/4 & rat_$quotient(rat_6, rat_6) = rat_1 & rat_$quotient(rat_6, rat_4)
% 47.80/7.20    = rat_3/2 & rat_$quotient(rat_6, rat_3) = rat_2 & rat_$quotient(rat_4,
% 47.80/7.20      rat_4/3) = rat_3 & rat_$quotient(rat_4, rat_1/3) = rat_12 &
% 47.80/7.20    rat_$quotient(rat_4, rat_-1) = rat_-4 & rat_$quotient(rat_4, rat_1/2) = rat_8
% 47.80/7.21    & rat_$quotient(rat_4, rat_2/3) = rat_6 & rat_$quotient(rat_4, rat_1/6) =
% 47.80/7.21    rat_24 & rat_$quotient(rat_4, rat_2) = rat_2 & rat_$quotient(rat_4, rat_12) =
% 47.80/7.21    rat_1/3 & rat_$quotient(rat_4, rat_24) = rat_1/6 & rat_$quotient(rat_4,
% 47.80/7.21      rat_-2) = rat_-2 & rat_$quotient(rat_4, rat_1) = rat_4 &
% 47.80/7.21    rat_$quotient(rat_4, rat_1/4) = rat_16 & rat_$quotient(rat_4, rat_16) =
% 47.80/7.21    rat_1/4 & rat_$quotient(rat_4, rat_8) = rat_1/2 & rat_$quotient(rat_4, rat_-4)
% 47.80/7.21    = rat_-1 & rat_$quotient(rat_4, rat_6) = rat_2/3 & rat_$quotient(rat_4, rat_4)
% 47.80/7.21    = rat_1 & rat_$quotient(rat_4, rat_3) = rat_4/3 & rat_$quotient(rat_3,
% 47.80/7.21      rat_1/3) = rat_9 & rat_$quotient(rat_3, rat_-1) = rat_-3 &
% 47.80/7.21    rat_$quotient(rat_3, rat_-3) = rat_-1 & rat_$quotient(rat_3, rat_1/2) = rat_6
% 47.80/7.21    & rat_$quotient(rat_3, rat_18) = rat_1/6 & rat_$quotient(rat_3, rat_9) =
% 47.80/7.21    rat_1/3 & rat_$quotient(rat_3, rat_1/6) = rat_18 & rat_$quotient(rat_3, rat_2)
% 47.80/7.21    = rat_3/2 & rat_$quotient(rat_3, rat_3/4) = rat_4 & rat_$quotient(rat_3,
% 47.80/7.21      rat_12) = rat_1/4 & rat_$quotient(rat_3, rat_3/2) = rat_2 &
% 47.80/7.21    rat_$quotient(rat_3, rat_1) = rat_3 & rat_$quotient(rat_3, rat_1/4) = rat_12 &
% 47.80/7.21    rat_$quotient(rat_3, rat_6) = rat_1/2 & rat_$quotient(rat_3, rat_4) = rat_3/4
% 47.80/7.21    & rat_$quotient(rat_3, rat_3) = rat_1 & rat_$quotient(rat_0, rat_4/3) = rat_0
% 47.80/7.21    & rat_$quotient(rat_0, rat_1/3) = rat_0 & rat_$quotient(rat_0, rat_-1) = rat_0
% 47.80/7.21    & rat_$quotient(rat_0, rat_-3) = rat_0 & rat_$quotient(rat_0, rat_1/2) = rat_0
% 47.80/7.21    & rat_$quotient(rat_0, rat_18) = rat_0 & rat_$quotient(rat_0, rat_9) = rat_0 &
% 47.80/7.21    rat_$quotient(rat_0, rat_36) = rat_0 & rat_$quotient(rat_0, rat_2/3) = rat_0 &
% 47.80/7.21    rat_$quotient(rat_0, rat_1/6) = rat_0 & rat_$quotient(rat_0, rat_2) = rat_0 &
% 47.80/7.21    rat_$quotient(rat_0, rat_-6) = rat_0 & rat_$quotient(rat_0, rat_3/4) = rat_0 &
% 47.80/7.21    rat_$quotient(rat_0, rat_12) = rat_0 & rat_$quotient(rat_0, rat_7) = rat_0 &
% 47.80/7.21    rat_$quotient(rat_0, rat_3/2) = rat_0 & rat_$quotient(rat_0, rat_24) = rat_0 &
% 47.80/7.21    rat_$quotient(rat_0, rat_-2) = rat_0 & rat_$quotient(rat_0, rat_10) = rat_0 &
% 47.80/7.21    rat_$quotient(rat_0, rat_1) = rat_0 & rat_$quotient(rat_0, rat_1/4) = rat_0 &
% 47.80/7.21    rat_$quotient(rat_0, rat_16) = rat_0 & rat_$quotient(rat_0, rat_8) = rat_0 &
% 47.80/7.21    rat_$quotient(rat_0, rat_-4) = rat_0 & rat_$quotient(rat_0, rat_6) = rat_0 &
% 47.80/7.21    rat_$quotient(rat_0, rat_4) = rat_0 & rat_$quotient(rat_0, rat_3) = rat_0 &
% 47.80/7.21    rat_$difference(rat_4/3, rat_4/3) = rat_0 & rat_$difference(rat_4/3, rat_1/3)
% 47.80/7.21    = rat_1 & rat_$difference(rat_4/3, rat_2/3) = rat_2/3 &
% 47.80/7.21    rat_$difference(rat_4/3, rat_1) = rat_1/3 & rat_$difference(rat_4/3, rat_0) =
% 47.80/7.21    rat_4/3 & rat_$difference(rat_1/3, rat_4/3) = rat_-1 &
% 47.80/7.21    rat_$difference(rat_1/3, rat_1/3) = rat_0 & rat_$difference(rat_1/3, rat_-1) =
% 47.80/7.21    rat_4/3 & rat_$difference(rat_1/3, rat_1/6) = rat_1/6 &
% 47.80/7.21    rat_$difference(rat_1/3, rat_0) = rat_1/3 & rat_$difference(rat_-1, rat_-1) =
% 47.80/7.21    rat_0 & rat_$difference(rat_-1, rat_-3) = rat_2 & rat_$difference(rat_-1,
% 47.80/7.21      rat_2) = rat_-3 & rat_$difference(rat_-1, rat_-2) = rat_1 &
% 47.80/7.21    rat_$difference(rat_-1, rat_1) = rat_-2 & rat_$difference(rat_-1, rat_-4) =
% 47.80/7.21    rat_3 & rat_$difference(rat_-1, rat_3) = rat_-4 & rat_$difference(rat_-1,
% 47.80/7.21      rat_0) = rat_-1 & rat_$difference(rat_-3, rat_-1) = rat_-2 &
% 47.80/7.21    rat_$difference(rat_-3, rat_-3) = rat_0 & rat_$difference(rat_-3, rat_-6) =
% 47.80/7.21    rat_3 & rat_$difference(rat_-3, rat_-2) = rat_-1 & rat_$difference(rat_-3,
% 47.80/7.21      rat_1) = rat_-4 & rat_$difference(rat_-3, rat_-4) = rat_1 &
% 47.80/7.21    rat_$difference(rat_-3, rat_3) = rat_-6 & rat_$difference(rat_-3, rat_0) =
% 47.80/7.21    rat_-3 & rat_$difference(rat_1/2, rat_1/3) = rat_1/6 &
% 47.80/7.21    rat_$difference(rat_1/2, rat_-1) = rat_3/2 & rat_$difference(rat_1/2, rat_1/2)
% 47.80/7.21    = rat_0 & rat_$difference(rat_1/2, rat_1/6) = rat_1/3 &
% 47.80/7.21    rat_$difference(rat_1/2, rat_3/2) = rat_-1 & rat_$difference(rat_1/2, rat_1/4)
% 47.80/7.21    = rat_1/4 & rat_$difference(rat_1/2, rat_0) = rat_1/2 &
% 47.80/7.21    rat_$difference(rat_18, rat_18) = rat_0 & rat_$difference(rat_18, rat_9) =
% 47.80/7.21    rat_9 & rat_$difference(rat_18, rat_2) = rat_16 & rat_$difference(rat_18,
% 47.80/7.21      rat_-6) = rat_24 & rat_$difference(rat_18, rat_12) = rat_6 &
% 47.80/7.21    rat_$difference(rat_18, rat_24) = rat_-6 & rat_$difference(rat_18, rat_10) =
% 47.80/7.21    rat_8 & rat_$difference(rat_18, rat_16) = rat_2 & rat_$difference(rat_18,
% 47.80/7.21      rat_8) = rat_10 & rat_$difference(rat_18, rat_6) = rat_12 &
% 47.80/7.21    rat_$difference(rat_18, rat_0) = rat_18 & rat_$difference(rat_9, rat_-1) =
% 47.80/7.21    rat_10 & rat_$difference(rat_9, rat_-3) = rat_12 & rat_$difference(rat_9,
% 47.80/7.21      rat_9) = rat_0 & rat_$difference(rat_9, rat_2) = rat_7 &
% 47.80/7.21    rat_$difference(rat_9, rat_12) = rat_-3 & rat_$difference(rat_9, rat_7) =
% 47.80/7.21    rat_2 & rat_$difference(rat_9, rat_10) = rat_-1 & rat_$difference(rat_9,
% 47.80/7.21      rat_1) = rat_8 & rat_$difference(rat_9, rat_8) = rat_1 &
% 47.80/7.21    rat_$difference(rat_9, rat_6) = rat_3 & rat_$difference(rat_9, rat_3) = rat_6
% 47.80/7.21    & rat_$difference(rat_9, rat_0) = rat_9 & rat_$difference(rat_36, rat_18) =
% 47.80/7.21    rat_18 & rat_$difference(rat_36, rat_36) = rat_0 & rat_$difference(rat_36,
% 47.80/7.21      rat_12) = rat_24 & rat_$difference(rat_36, rat_24) = rat_12 &
% 47.80/7.21    rat_$difference(rat_36, rat_0) = rat_36 & rat_$difference(rat_2/3, rat_1/3) =
% 47.80/7.21    rat_1/3 & rat_$difference(rat_2/3, rat_1/2) = rat_1/6 &
% 47.80/7.21    rat_$difference(rat_2/3, rat_2/3) = rat_0 & rat_$difference(rat_2/3, rat_1/6)
% 47.80/7.21    = rat_1/2 & rat_$difference(rat_2/3, rat_0) = rat_2/3 &
% 47.80/7.21    rat_$difference(rat_1/6, rat_1/6) = rat_0 & rat_$difference(rat_1/6, rat_0) =
% 47.80/7.21    rat_1/6 & rat_$difference(rat_2, rat_4/3) = rat_2/3 & rat_$difference(rat_2,
% 47.80/7.21      rat_-1) = rat_3 & rat_$difference(rat_2, rat_1/2) = rat_3/2 &
% 47.80/7.21    rat_$difference(rat_2, rat_2/3) = rat_4/3 & rat_$difference(rat_2, rat_2) =
% 47.80/7.21    rat_0 & rat_$difference(rat_2, rat_-6) = rat_8 & rat_$difference(rat_2,
% 47.80/7.21      rat_3/2) = rat_1/2 & rat_$difference(rat_2, rat_-2) = rat_4 &
% 47.80/7.21    rat_$difference(rat_2, rat_1) = rat_1 & rat_$difference(rat_2, rat_8) = rat_-6
% 47.80/7.21    & rat_$difference(rat_2, rat_-4) = rat_6 & rat_$difference(rat_2, rat_6) =
% 47.80/7.21    rat_-4 & rat_$difference(rat_2, rat_4) = rat_-2 & rat_$difference(rat_2,
% 47.80/7.21      rat_3) = rat_-1 & rat_$difference(rat_2, rat_0) = rat_2 &
% 47.80/7.21    rat_$difference(rat_-6, rat_-3) = rat_-3 & rat_$difference(rat_-6, rat_-6) =
% 47.80/7.21    rat_0 & rat_$difference(rat_-6, rat_-2) = rat_-4 & rat_$difference(rat_-6,
% 47.80/7.21      rat_-4) = rat_-2 & rat_$difference(rat_-6, rat_0) = rat_-6 &
% 47.80/7.21    rat_$difference(rat_3/4, rat_1/2) = rat_1/4 & rat_$difference(rat_3/4,
% 47.80/7.21      rat_3/4) = rat_0 & rat_$difference(rat_3/4, rat_1/4) = rat_1/2 &
% 47.80/7.21    rat_$difference(rat_3/4, rat_0) = rat_3/4 & rat_$difference(rat_12, rat_18) =
% 47.80/7.21    rat_-6 & rat_$difference(rat_12, rat_9) = rat_3 & rat_$difference(rat_12,
% 47.80/7.21      rat_2) = rat_10 & rat_$difference(rat_12, rat_-6) = rat_18 &
% 47.80/7.21    rat_$difference(rat_12, rat_12) = rat_0 & rat_$difference(rat_12, rat_10) =
% 47.80/7.21    rat_2 & rat_$difference(rat_12, rat_16) = rat_-4 & rat_$difference(rat_12,
% 47.80/7.21      rat_8) = rat_4 & rat_$difference(rat_12, rat_-4) = rat_16 &
% 47.80/7.21    rat_$difference(rat_12, rat_6) = rat_6 & rat_$difference(rat_12, rat_4) =
% 47.80/7.21    rat_8 & rat_$difference(rat_12, rat_3) = rat_9 & rat_$difference(rat_12,
% 47.80/7.21      rat_0) = rat_12 & rat_$difference(rat_7, rat_-1) = rat_8 &
% 47.80/7.21    rat_$difference(rat_7, rat_-3) = rat_10 & rat_$difference(rat_7, rat_9) =
% 47.80/7.21    rat_-2 & rat_$difference(rat_7, rat_7) = rat_0 & rat_$difference(rat_7,
% 47.80/7.21      rat_-2) = rat_9 & rat_$difference(rat_7, rat_10) = rat_-3 &
% 47.80/7.21    rat_$difference(rat_7, rat_1) = rat_6 & rat_$difference(rat_7, rat_8) = rat_-1
% 47.80/7.21    & rat_$difference(rat_7, rat_6) = rat_1 & rat_$difference(rat_7, rat_4) =
% 47.80/7.21    rat_3 & rat_$difference(rat_7, rat_3) = rat_4 & rat_$difference(rat_7, rat_0)
% 47.80/7.21    = rat_7 & rat_$difference(rat_3/2, rat_4/3) = rat_1/6 &
% 47.80/7.21    rat_$difference(rat_3/2, rat_1/2) = rat_1 & rat_$difference(rat_3/2, rat_1/6)
% 47.80/7.21    = rat_4/3 & rat_$difference(rat_3/2, rat_3/4) = rat_3/4 &
% 47.80/7.21    rat_$difference(rat_3/2, rat_3/2) = rat_0 & rat_$difference(rat_3/2, rat_1) =
% 47.80/7.21    rat_1/2 & rat_$difference(rat_3/2, rat_0) = rat_3/2 & rat_$difference(rat_24,
% 47.80/7.21      rat_18) = rat_6 & rat_$difference(rat_24, rat_12) = rat_12 &
% 47.80/7.21    rat_$difference(rat_24, rat_24) = rat_0 & rat_$difference(rat_24, rat_16) =
% 47.80/7.21    rat_8 & rat_$difference(rat_24, rat_8) = rat_16 & rat_$difference(rat_24,
% 47.80/7.21      rat_6) = rat_18 & rat_$difference(rat_24, rat_0) = rat_24 &
% 47.80/7.21    rat_$difference(rat_-2, rat_-1) = rat_-1 & rat_$difference(rat_-2, rat_-3) =
% 47.80/7.21    rat_1 & rat_$difference(rat_-2, rat_2) = rat_-4 & rat_$difference(rat_-2,
% 47.80/7.21      rat_-6) = rat_4 & rat_$difference(rat_-2, rat_-2) = rat_0 &
% 47.80/7.21    rat_$difference(rat_-2, rat_1) = rat_-3 & rat_$difference(rat_-2, rat_-4) =
% 47.80/7.21    rat_2 & rat_$difference(rat_-2, rat_4) = rat_-6 & rat_$difference(rat_-2,
% 47.80/7.21      rat_0) = rat_-2 & rat_$difference(rat_10, rat_9) = rat_1 &
% 47.80/7.21    rat_$difference(rat_10, rat_2) = rat_8 & rat_$difference(rat_10, rat_-6) =
% 47.80/7.21    rat_16 & rat_$difference(rat_10, rat_12) = rat_-2 & rat_$difference(rat_10,
% 47.80/7.21      rat_7) = rat_3 & rat_$difference(rat_10, rat_-2) = rat_12 &
% 47.80/7.21    rat_$difference(rat_10, rat_10) = rat_0 & rat_$difference(rat_10, rat_1) =
% 47.80/7.21    rat_9 & rat_$difference(rat_10, rat_16) = rat_-6 & rat_$difference(rat_10,
% 47.80/7.21      rat_8) = rat_2 & rat_$difference(rat_10, rat_6) = rat_4 &
% 47.80/7.21    rat_$difference(rat_10, rat_4) = rat_6 & rat_$difference(rat_10, rat_3) =
% 47.80/7.21    rat_7 & rat_$difference(rat_10, rat_0) = rat_10 & rat_$difference(rat_1,
% 47.80/7.21      rat_1/3) = rat_2/3 & rat_$difference(rat_1, rat_-1) = rat_2 &
% 47.80/7.21    rat_$difference(rat_1, rat_-3) = rat_4 & rat_$difference(rat_1, rat_1/2) =
% 47.80/7.21    rat_1/2 & rat_$difference(rat_1, rat_2/3) = rat_1/3 & rat_$difference(rat_1,
% 47.80/7.21      rat_2) = rat_-1 & rat_$difference(rat_1, rat_-6) = rat_7 &
% 47.80/7.21    rat_$difference(rat_1, rat_3/4) = rat_1/4 & rat_$difference(rat_1, rat_7) =
% 47.80/7.21    rat_-6 & rat_$difference(rat_1, rat_-2) = rat_3 & rat_$difference(rat_1,
% 47.80/7.21      rat_1) = rat_0 & rat_$difference(rat_1, rat_1/4) = rat_3/4 &
% 47.80/7.21    rat_$difference(rat_1, rat_4) = rat_-3 & rat_$difference(rat_1, rat_3) =
% 47.80/7.21    rat_-2 & rat_$difference(rat_1, rat_0) = rat_1 & rat_$difference(rat_1/4,
% 47.80/7.21      rat_1/4) = rat_0 & rat_$difference(rat_1/4, rat_0) = rat_1/4 &
% 47.80/7.21    rat_$difference(rat_16, rat_18) = rat_-2 & rat_$difference(rat_16, rat_9) =
% 47.80/7.21    rat_7 & rat_$difference(rat_16, rat_12) = rat_4 & rat_$difference(rat_16,
% 47.80/7.21      rat_7) = rat_9 & rat_$difference(rat_16, rat_-2) = rat_18 &
% 47.80/7.21    rat_$difference(rat_16, rat_10) = rat_6 & rat_$difference(rat_16, rat_16) =
% 47.80/7.21    rat_0 & rat_$difference(rat_16, rat_8) = rat_8 & rat_$difference(rat_16,
% 47.80/7.21      rat_6) = rat_10 & rat_$difference(rat_16, rat_4) = rat_12 &
% 47.80/7.21    rat_$difference(rat_16, rat_0) = rat_16 & rat_$difference(rat_8, rat_-1) =
% 47.80/7.21    rat_9 & rat_$difference(rat_8, rat_9) = rat_-1 & rat_$difference(rat_8, rat_2)
% 47.80/7.21    = rat_6 & rat_$difference(rat_8, rat_12) = rat_-4 & rat_$difference(rat_8,
% 47.80/7.21      rat_7) = rat_1 & rat_$difference(rat_8, rat_-2) = rat_10 &
% 47.80/7.21    rat_$difference(rat_8, rat_10) = rat_-2 & rat_$difference(rat_8, rat_1) =
% 47.80/7.21    rat_7 & rat_$difference(rat_8, rat_8) = rat_0 & rat_$difference(rat_8, rat_-4)
% 47.80/7.21    = rat_12 & rat_$difference(rat_8, rat_6) = rat_2 & rat_$difference(rat_8,
% 47.80/7.21      rat_4) = rat_4 & rat_$difference(rat_8, rat_0) = rat_8 &
% 47.80/7.21    rat_$difference(rat_-4, rat_-1) = rat_-3 & rat_$difference(rat_-4, rat_-3) =
% 47.80/7.21    rat_-1 & rat_$difference(rat_-4, rat_2) = rat_-6 & rat_$difference(rat_-4,
% 47.80/7.21      rat_-6) = rat_2 & rat_$difference(rat_-4, rat_-2) = rat_-2 &
% 47.80/7.21    rat_$difference(rat_-4, rat_-4) = rat_0 & rat_$difference(rat_-4, rat_0) =
% 47.80/7.21    rat_-4 & rat_$difference(rat_6, rat_-1) = rat_7 & rat_$difference(rat_6,
% 47.80/7.21      rat_-3) = rat_9 & rat_$difference(rat_6, rat_9) = rat_-3 &
% 47.80/7.21    rat_$difference(rat_6, rat_2) = rat_4 & rat_$difference(rat_6, rat_-6) =
% 47.80/7.21    rat_12 & rat_$difference(rat_6, rat_12) = rat_-6 & rat_$difference(rat_6,
% 47.80/7.21      rat_7) = rat_-1 & rat_$difference(rat_6, rat_-2) = rat_8 &
% 47.80/7.21    rat_$difference(rat_6, rat_10) = rat_-4 & rat_$difference(rat_6, rat_8) =
% 47.80/7.21    rat_-2 & rat_$difference(rat_6, rat_-4) = rat_10 & rat_$difference(rat_6,
% 47.80/7.21      rat_6) = rat_0 & rat_$difference(rat_6, rat_4) = rat_2 &
% 47.80/7.21    rat_$difference(rat_6, rat_3) = rat_3 & rat_$difference(rat_6, rat_0) = rat_6
% 47.80/7.21    & rat_$difference(rat_4, rat_-3) = rat_7 & rat_$difference(rat_4, rat_2) =
% 47.80/7.21    rat_2 & rat_$difference(rat_4, rat_-6) = rat_10 & rat_$difference(rat_4,
% 47.80/7.21      rat_7) = rat_-3 & rat_$difference(rat_4, rat_-2) = rat_6 &
% 47.80/7.21    rat_$difference(rat_4, rat_10) = rat_-6 & rat_$difference(rat_4, rat_1) =
% 47.80/7.21    rat_3 & rat_$difference(rat_4, rat_8) = rat_-4 & rat_$difference(rat_4,
% 47.80/7.21      rat_-4) = rat_8 & rat_$difference(rat_4, rat_6) = rat_-2 &
% 47.80/7.21    rat_$difference(rat_4, rat_4) = rat_0 & rat_$difference(rat_4, rat_3) = rat_1
% 47.80/7.21    & rat_$difference(rat_4, rat_0) = rat_4 & rat_$difference(rat_3, rat_-1) =
% 47.80/7.21    rat_4 & rat_$difference(rat_3, rat_-3) = rat_6 & rat_$difference(rat_3, rat_9)
% 47.80/7.21    = rat_-6 & rat_$difference(rat_3, rat_2) = rat_1 & rat_$difference(rat_3,
% 47.80/7.21      rat_-6) = rat_9 & rat_$difference(rat_3, rat_7) = rat_-4 &
% 47.80/7.21    rat_$difference(rat_3, rat_3/2) = rat_3/2 & rat_$difference(rat_3, rat_1) =
% 47.80/7.21    rat_2 & rat_$difference(rat_3, rat_-4) = rat_7 & rat_$difference(rat_3, rat_6)
% 47.80/7.21    = rat_-3 & rat_$difference(rat_3, rat_4) = rat_-1 & rat_$difference(rat_3,
% 47.80/7.21      rat_3) = rat_0 & rat_$difference(rat_3, rat_0) = rat_3 &
% 47.80/7.21    rat_$difference(rat_0, rat_-1) = rat_1 & rat_$difference(rat_0, rat_-3) =
% 47.80/7.21    rat_3 & rat_$difference(rat_0, rat_2) = rat_-2 & rat_$difference(rat_0,
% 47.80/7.21      rat_-6) = rat_6 & rat_$difference(rat_0, rat_-2) = rat_2 &
% 47.80/7.21    rat_$difference(rat_0, rat_1) = rat_-1 & rat_$difference(rat_0, rat_-4) =
% 47.80/7.21    rat_4 & rat_$difference(rat_0, rat_6) = rat_-6 & rat_$difference(rat_0, rat_4)
% 47.80/7.21    = rat_-4 & rat_$difference(rat_0, rat_3) = rat_-3 & rat_$difference(rat_0,
% 47.80/7.21      rat_0) = rat_0 & rat_$uminus(rat_-1) = rat_1 & rat_$uminus(rat_-3) = rat_3 &
% 47.80/7.21    rat_$uminus(rat_2) = rat_-2 & rat_$uminus(rat_-6) = rat_6 &
% 47.80/7.21    rat_$uminus(rat_-2) = rat_2 & rat_$uminus(rat_1) = rat_-1 &
% 47.80/7.21    rat_$uminus(rat_-4) = rat_4 & rat_$uminus(rat_6) = rat_-6 & rat_$uminus(rat_4)
% 47.80/7.21    = rat_-4 & rat_$uminus(rat_3) = rat_-3 & rat_$uminus(rat_0) = rat_0 &
% 47.80/7.21    rat_$product(rat_4/3, rat_-3) = rat_-4 & rat_$product(rat_4/3, rat_1/2) =
% 47.80/7.21    rat_2/3 & rat_$product(rat_4/3, rat_18) = rat_24 & rat_$product(rat_4/3,
% 47.80/7.21      rat_9) = rat_12 & rat_$product(rat_4/3, rat_3/4) = rat_1 &
% 47.80/7.21    rat_$product(rat_4/3, rat_12) = rat_16 & rat_$product(rat_4/3, rat_3/2) =
% 47.80/7.21    rat_2 & rat_$product(rat_4/3, rat_1) = rat_4/3 & rat_$product(rat_4/3,
% 47.80/7.21      rat_1/4) = rat_1/3 & rat_$product(rat_4/3, rat_6) = rat_8 &
% 47.80/7.21    rat_$product(rat_4/3, rat_3) = rat_4 & rat_$product(rat_4/3, rat_0) = rat_0 &
% 47.80/7.21    rat_$product(rat_1/3, rat_-3) = rat_-1 & rat_$product(rat_1/3, rat_1/2) =
% 47.80/7.21    rat_1/6 & rat_$product(rat_1/3, rat_18) = rat_6 & rat_$product(rat_1/3, rat_9)
% 47.80/7.21    = rat_3 & rat_$product(rat_1/3, rat_36) = rat_12 & rat_$product(rat_1/3,
% 47.80/7.21      rat_2) = rat_2/3 & rat_$product(rat_1/3, rat_-6) = rat_-2 &
% 47.80/7.21    rat_$product(rat_1/3, rat_3/4) = rat_1/4 & rat_$product(rat_1/3, rat_12) =
% 47.80/7.21    rat_4 & rat_$product(rat_1/3, rat_3/2) = rat_1/2 & rat_$product(rat_1/3,
% 47.80/7.21      rat_24) = rat_8 & rat_$product(rat_1/3, rat_1) = rat_1/3 &
% 47.80/7.21    rat_$product(rat_1/3, rat_6) = rat_2 & rat_$product(rat_1/3, rat_4) = rat_4/3
% 47.80/7.21    & rat_$product(rat_1/3, rat_3) = rat_1 & rat_$product(rat_1/3, rat_0) = rat_0
% 47.80/7.21    & rat_$product(rat_-1, rat_-1) = rat_1 & rat_$product(rat_-1, rat_-3) = rat_3
% 47.80/7.21    & rat_$product(rat_-1, rat_2) = rat_-2 & rat_$product(rat_-1, rat_-6) = rat_6
% 47.80/7.21    & rat_$product(rat_-1, rat_-2) = rat_2 & rat_$product(rat_-1, rat_1) = rat_-1
% 47.80/7.21    & rat_$product(rat_-1, rat_-4) = rat_4 & rat_$product(rat_-1, rat_6) = rat_-6
% 47.80/7.21    & rat_$product(rat_-1, rat_4) = rat_-4 & rat_$product(rat_-1, rat_3) = rat_-3
% 47.80/7.21    & rat_$product(rat_-1, rat_0) = rat_0 & rat_$product(rat_-3, rat_4/3) = rat_-4
% 47.80/7.21    & rat_$product(rat_-3, rat_1/3) = rat_-1 & rat_$product(rat_-3, rat_-1) =
% 47.80/7.21    rat_3 & rat_$product(rat_-3, rat_-3) = rat_9 & rat_$product(rat_-3, rat_2/3) =
% 47.80/7.21    rat_-2 & rat_$product(rat_-3, rat_2) = rat_-6 & rat_$product(rat_-3, rat_-6) =
% 47.80/7.21    rat_18 & rat_$product(rat_-3, rat_-2) = rat_6 & rat_$product(rat_-3, rat_1) =
% 47.80/7.21    rat_-3 & rat_$product(rat_-3, rat_-4) = rat_12 & rat_$product(rat_-3, rat_0) =
% 47.80/7.21    rat_0 & rat_$product(rat_1/2, rat_4/3) = rat_2/3 & rat_$product(rat_1/2,
% 47.80/7.21      rat_1/3) = rat_1/6 & rat_$product(rat_1/2, rat_1/2) = rat_1/4 &
% 47.80/7.21    rat_$product(rat_1/2, rat_18) = rat_9 & rat_$product(rat_1/2, rat_36) = rat_18
% 47.80/7.21    & rat_$product(rat_1/2, rat_2/3) = rat_1/3 & rat_$product(rat_1/2, rat_2) =
% 47.80/7.21    rat_1 & rat_$product(rat_1/2, rat_-6) = rat_-3 & rat_$product(rat_1/2, rat_12)
% 47.80/7.21    = rat_6 & rat_$product(rat_1/2, rat_3/2) = rat_3/4 & rat_$product(rat_1/2,
% 47.80/7.21      rat_24) = rat_12 & rat_$product(rat_1/2, rat_-2) = rat_-1 &
% 47.80/7.21    rat_$product(rat_1/2, rat_1) = rat_1/2 & rat_$product(rat_1/2, rat_16) = rat_8
% 47.80/7.21    & rat_$product(rat_1/2, rat_8) = rat_4 & rat_$product(rat_1/2, rat_-4) =
% 47.80/7.21    rat_-2 & rat_$product(rat_1/2, rat_6) = rat_3 & rat_$product(rat_1/2, rat_4) =
% 47.80/7.21    rat_2 & rat_$product(rat_1/2, rat_3) = rat_3/2 & rat_$product(rat_1/2, rat_0)
% 47.80/7.21    = rat_0 & rat_$product(rat_18, rat_4/3) = rat_24 & rat_$product(rat_18,
% 47.80/7.21      rat_1/3) = rat_6 & rat_$product(rat_18, rat_1/2) = rat_9 &
% 47.80/7.21    rat_$product(rat_18, rat_2/3) = rat_12 & rat_$product(rat_18, rat_1/6) = rat_3
% 47.80/7.21    & rat_$product(rat_18, rat_2) = rat_36 & rat_$product(rat_18, rat_1) = rat_18
% 47.80/7.21    & rat_$product(rat_18, rat_0) = rat_0 & rat_$product(rat_9, rat_4/3) = rat_12
% 47.80/7.21    & rat_$product(rat_9, rat_1/3) = rat_3 & rat_$product(rat_9, rat_2/3) = rat_6
% 47.80/7.21    & rat_$product(rat_9, rat_1/6) = rat_3/2 & rat_$product(rat_9, rat_2) = rat_18
% 47.80/7.21    & rat_$product(rat_9, rat_1) = rat_9 & rat_$product(rat_9, rat_4) = rat_36 &
% 47.80/7.21    rat_$product(rat_9, rat_0) = rat_0 & rat_$product(rat_36, rat_1/3) = rat_12 &
% 47.80/7.21    rat_$product(rat_36, rat_1/2) = rat_18 & rat_$product(rat_36, rat_2/3) =
% 47.80/7.21    rat_24 & rat_$product(rat_36, rat_1/6) = rat_6 & rat_$product(rat_36, rat_1) =
% 47.80/7.21    rat_36 & rat_$product(rat_36, rat_1/4) = rat_9 & rat_$product(rat_36, rat_0) =
% 47.80/7.21    rat_0 & rat_$product(rat_2/3, rat_-3) = rat_-2 & rat_$product(rat_2/3,
% 47.80/7.21      rat_1/2) = rat_1/3 & rat_$product(rat_2/3, rat_18) = rat_12 &
% 47.80/7.21    rat_$product(rat_2/3, rat_9) = rat_6 & rat_$product(rat_2/3, rat_36) = rat_24
% 47.80/7.21    & rat_$product(rat_2/3, rat_2) = rat_4/3 & rat_$product(rat_2/3, rat_-6) =
% 47.80/7.21    rat_-4 & rat_$product(rat_2/3, rat_3/4) = rat_1/2 & rat_$product(rat_2/3,
% 47.80/7.21      rat_12) = rat_8 & rat_$product(rat_2/3, rat_3/2) = rat_1 &
% 47.80/7.21    rat_$product(rat_2/3, rat_24) = rat_16 & rat_$product(rat_2/3, rat_1) =
% 47.80/7.21    rat_2/3 & rat_$product(rat_2/3, rat_1/4) = rat_1/6 & rat_$product(rat_2/3,
% 47.80/7.21      rat_6) = rat_4 & rat_$product(rat_2/3, rat_3) = rat_2 &
% 47.80/7.21    rat_$product(rat_2/3, rat_0) = rat_0 & rat_$product(rat_1/6, rat_18) = rat_3 &
% 47.80/7.21    rat_$product(rat_1/6, rat_9) = rat_3/2 & rat_$product(rat_1/6, rat_36) = rat_6
% 47.80/7.21    & rat_$product(rat_1/6, rat_2) = rat_1/3 & rat_$product(rat_1/6, rat_-6) =
% 47.80/7.21    rat_-1 & rat_$product(rat_1/6, rat_12) = rat_2 & rat_$product(rat_1/6,
% 47.80/7.21      rat_3/2) = rat_1/4 & rat_$product(rat_1/6, rat_24) = rat_4 &
% 47.80/7.21    rat_$product(rat_1/6, rat_1) = rat_1/6 & rat_$product(rat_1/6, rat_8) =
% 47.80/7.21    rat_4/3 & rat_$product(rat_1/6, rat_6) = rat_1 & rat_$product(rat_1/6, rat_4)
% 47.80/7.21    = rat_2/3 & rat_$product(rat_1/6, rat_3) = rat_1/2 & rat_$product(rat_1/6,
% 47.80/7.21      rat_0) = rat_0 & rat_$product(rat_2, rat_1/3) = rat_2/3 &
% 47.80/7.21    rat_$product(rat_2, rat_-1) = rat_-2 & rat_$product(rat_2, rat_-3) = rat_-6 &
% 47.80/7.21    rat_$product(rat_2, rat_1/2) = rat_1 & rat_$product(rat_2, rat_18) = rat_36 &
% 47.80/7.21    rat_$product(rat_2, rat_9) = rat_18 & rat_$product(rat_2, rat_2/3) = rat_4/3 &
% 47.80/7.21    rat_$product(rat_2, rat_1/6) = rat_1/3 & rat_$product(rat_2, rat_2) = rat_4 &
% 47.80/7.21    rat_$product(rat_2, rat_3/4) = rat_3/2 & rat_$product(rat_2, rat_12) = rat_24
% 47.80/7.21    & rat_$product(rat_2, rat_3/2) = rat_3 & rat_$product(rat_2, rat_-2) = rat_-4
% 47.80/7.21    & rat_$product(rat_2, rat_1) = rat_2 & rat_$product(rat_2, rat_1/4) = rat_1/2
% 47.80/7.21    & rat_$product(rat_2, rat_8) = rat_16 & rat_$product(rat_2, rat_6) = rat_12 &
% 47.80/7.21    rat_$product(rat_2, rat_4) = rat_8 & rat_$product(rat_2, rat_3) = rat_6 &
% 47.80/7.21    rat_$product(rat_2, rat_0) = rat_0 & rat_$product(rat_-6, rat_1/3) = rat_-2 &
% 47.80/7.21    rat_$product(rat_-6, rat_-1) = rat_6 & rat_$product(rat_-6, rat_-3) = rat_18 &
% 47.80/7.21    rat_$product(rat_-6, rat_1/2) = rat_-3 & rat_$product(rat_-6, rat_2/3) =
% 47.80/7.21    rat_-4 & rat_$product(rat_-6, rat_1/6) = rat_-1 & rat_$product(rat_-6, rat_-6)
% 47.80/7.21    = rat_36 & rat_$product(rat_-6, rat_-2) = rat_12 & rat_$product(rat_-6, rat_1)
% 47.80/7.21    = rat_-6 & rat_$product(rat_-6, rat_-4) = rat_24 & rat_$product(rat_-6, rat_0)
% 47.80/7.21    = rat_0 & rat_$product(rat_3/4, rat_4/3) = rat_1 & rat_$product(rat_3/4,
% 47.80/7.21      rat_1/3) = rat_1/4 & rat_$product(rat_3/4, rat_2/3) = rat_1/2 &
% 47.80/7.21    rat_$product(rat_3/4, rat_2) = rat_3/2 & rat_$product(rat_3/4, rat_12) = rat_9
% 47.80/7.21    & rat_$product(rat_3/4, rat_24) = rat_18 & rat_$product(rat_3/4, rat_1) =
% 47.80/7.21    rat_3/4 & rat_$product(rat_3/4, rat_16) = rat_12 & rat_$product(rat_3/4,
% 47.80/7.21      rat_8) = rat_6 & rat_$product(rat_3/4, rat_-4) = rat_-3 &
% 47.80/7.21    rat_$product(rat_3/4, rat_4) = rat_3 & rat_$product(rat_3/4, rat_0) = rat_0 &
% 47.80/7.21    rat_$product(rat_12, rat_4/3) = rat_16 & rat_$product(rat_12, rat_1/3) = rat_4
% 47.80/7.21    & rat_$product(rat_12, rat_1/2) = rat_6 & rat_$product(rat_12, rat_2/3) =
% 47.80/7.21    rat_8 & rat_$product(rat_12, rat_1/6) = rat_2 & rat_$product(rat_12, rat_2) =
% 47.80/7.21    rat_24 & rat_$product(rat_12, rat_3/4) = rat_9 & rat_$product(rat_12, rat_3/2)
% 47.80/7.21    = rat_18 & rat_$product(rat_12, rat_1) = rat_12 & rat_$product(rat_12,
% 47.80/7.21      rat_1/4) = rat_3 & rat_$product(rat_12, rat_3) = rat_36 &
% 47.80/7.21    rat_$product(rat_12, rat_0) = rat_0 & rat_$product(rat_7, rat_1) = rat_7 &
% 47.80/7.21    rat_$product(rat_7, rat_0) = rat_0 & rat_$product(rat_3/2, rat_4/3) = rat_2 &
% 47.80/7.21    rat_$product(rat_3/2, rat_1/3) = rat_1/2 & rat_$product(rat_3/2, rat_1/2) =
% 47.80/7.21    rat_3/4 & rat_$product(rat_3/2, rat_2/3) = rat_1 & rat_$product(rat_3/2,
% 47.80/7.21      rat_1/6) = rat_1/4 & rat_$product(rat_3/2, rat_2) = rat_3 &
% 47.80/7.21    rat_$product(rat_3/2, rat_12) = rat_18 & rat_$product(rat_3/2, rat_24) =
% 47.80/7.21    rat_36 & rat_$product(rat_3/2, rat_-2) = rat_-3 & rat_$product(rat_3/2, rat_1)
% 47.80/7.21    = rat_3/2 & rat_$product(rat_3/2, rat_16) = rat_24 & rat_$product(rat_3/2,
% 47.80/7.21      rat_8) = rat_12 & rat_$product(rat_3/2, rat_-4) = rat_-6 &
% 47.80/7.21    rat_$product(rat_3/2, rat_6) = rat_9 & rat_$product(rat_3/2, rat_4) = rat_6 &
% 47.80/7.21    rat_$product(rat_3/2, rat_0) = rat_0 & rat_$product(rat_24, rat_1/3) = rat_8 &
% 47.80/7.21    rat_$product(rat_24, rat_1/2) = rat_12 & rat_$product(rat_24, rat_2/3) =
% 47.80/7.21    rat_16 & rat_$product(rat_24, rat_1/6) = rat_4 & rat_$product(rat_24, rat_3/4)
% 47.80/7.21    = rat_18 & rat_$product(rat_24, rat_3/2) = rat_36 & rat_$product(rat_24,
% 47.80/7.21      rat_1) = rat_24 & rat_$product(rat_24, rat_1/4) = rat_6 &
% 47.80/7.21    rat_$product(rat_24, rat_0) = rat_0 & rat_$product(rat_-2, rat_-1) = rat_2 &
% 47.80/7.21    rat_$product(rat_-2, rat_-3) = rat_6 & rat_$product(rat_-2, rat_1/2) = rat_-1
% 47.80/7.21    & rat_$product(rat_-2, rat_2) = rat_-4 & rat_$product(rat_-2, rat_-6) = rat_12
% 47.80/7.21    & rat_$product(rat_-2, rat_3/2) = rat_-3 & rat_$product(rat_-2, rat_-2) =
% 47.80/7.21    rat_4 & rat_$product(rat_-2, rat_1) = rat_-2 & rat_$product(rat_-2, rat_-4) =
% 47.80/7.21    rat_8 & rat_$product(rat_-2, rat_3) = rat_-6 & rat_$product(rat_-2, rat_0) =
% 47.80/7.21    rat_0 & rat_$product(rat_10, rat_1) = rat_10 & rat_$product(rat_10, rat_0) =
% 47.80/7.21    rat_0 & rat_$product(rat_1, rat_4/3) = rat_4/3 & rat_$product(rat_1, rat_1/3)
% 47.80/7.21    = rat_1/3 & rat_$product(rat_1, rat_-1) = rat_-1 & rat_$product(rat_1, rat_-3)
% 47.80/7.21    = rat_-3 & rat_$product(rat_1, rat_1/2) = rat_1/2 & rat_$product(rat_1,
% 47.80/7.21      rat_18) = rat_18 & rat_$product(rat_1, rat_9) = rat_9 & rat_$product(rat_1,
% 47.80/7.21      rat_36) = rat_36 & rat_$product(rat_1, rat_2/3) = rat_2/3 &
% 47.80/7.21    rat_$product(rat_1, rat_1/6) = rat_1/6 & rat_$product(rat_1, rat_2) = rat_2 &
% 47.80/7.21    rat_$product(rat_1, rat_-6) = rat_-6 & rat_$product(rat_1, rat_3/4) = rat_3/4
% 47.80/7.21    & rat_$product(rat_1, rat_12) = rat_12 & rat_$product(rat_1, rat_7) = rat_7 &
% 47.80/7.21    rat_$product(rat_1, rat_3/2) = rat_3/2 & rat_$product(rat_1, rat_24) = rat_24
% 47.80/7.21    & rat_$product(rat_1, rat_-2) = rat_-2 & rat_$product(rat_1, rat_10) = rat_10
% 47.80/7.21    & rat_$product(rat_1, rat_1) = rat_1 & rat_$product(rat_1, rat_1/4) = rat_1/4
% 47.80/7.21    & rat_$product(rat_1, rat_16) = rat_16 & rat_$product(rat_1, rat_8) = rat_8 &
% 47.80/7.21    rat_$product(rat_1, rat_-4) = rat_-4 & rat_$product(rat_1, rat_6) = rat_6 &
% 47.80/7.21    rat_$product(rat_1, rat_4) = rat_4 & rat_$product(rat_1, rat_3) = rat_3 &
% 47.80/7.21    rat_$product(rat_1, rat_0) = rat_0 & rat_$product(rat_1/4, rat_4/3) = rat_1/3
% 47.80/7.21    & rat_$product(rat_1/4, rat_36) = rat_9 & rat_$product(rat_1/4, rat_2/3) =
% 47.80/7.21    rat_1/6 & rat_$product(rat_1/4, rat_2) = rat_1/2 & rat_$product(rat_1/4,
% 47.80/7.21      rat_12) = rat_3 & rat_$product(rat_1/4, rat_24) = rat_6 &
% 47.80/7.21    rat_$product(rat_1/4, rat_1) = rat_1/4 & rat_$product(rat_1/4, rat_16) = rat_4
% 47.80/7.21    & rat_$product(rat_1/4, rat_8) = rat_2 & rat_$product(rat_1/4, rat_-4) =
% 47.80/7.21    rat_-1 & rat_$product(rat_1/4, rat_6) = rat_3/2 & rat_$product(rat_1/4, rat_4)
% 47.80/7.21    = rat_1 & rat_$product(rat_1/4, rat_3) = rat_3/4 & rat_$product(rat_1/4,
% 47.80/7.21      rat_0) = rat_0 & rat_$product(rat_16, rat_1/2) = rat_8 &
% 47.80/7.21    rat_$product(rat_16, rat_3/4) = rat_12 & rat_$product(rat_16, rat_3/2) =
% 47.80/7.21    rat_24 & rat_$product(rat_16, rat_1) = rat_16 & rat_$product(rat_16, rat_1/4)
% 47.80/7.21    = rat_4 & rat_$product(rat_16, rat_0) = rat_0 & rat_$product(rat_8, rat_1/2) =
% 47.80/7.21    rat_4 & rat_$product(rat_8, rat_1/6) = rat_4/3 & rat_$product(rat_8, rat_2) =
% 47.80/7.21    rat_16 & rat_$product(rat_8, rat_3/4) = rat_6 & rat_$product(rat_8, rat_3/2) =
% 47.80/7.21    rat_12 & rat_$product(rat_8, rat_1) = rat_8 & rat_$product(rat_8, rat_1/4) =
% 47.80/7.21    rat_2 & rat_$product(rat_8, rat_3) = rat_24 & rat_$product(rat_8, rat_0) =
% 47.80/7.21    rat_0 & rat_$product(rat_-4, rat_-1) = rat_4 & rat_$product(rat_-4, rat_-3) =
% 47.80/7.21    rat_12 & rat_$product(rat_-4, rat_1/2) = rat_-2 & rat_$product(rat_-4, rat_-6)
% 47.80/7.21    = rat_24 & rat_$product(rat_-4, rat_3/4) = rat_-3 & rat_$product(rat_-4,
% 47.80/7.21      rat_3/2) = rat_-6 & rat_$product(rat_-4, rat_-2) = rat_8 &
% 47.80/7.21    rat_$product(rat_-4, rat_1) = rat_-4 & rat_$product(rat_-4, rat_1/4) = rat_-1
% 47.80/7.21    & rat_$product(rat_-4, rat_-4) = rat_16 & rat_$product(rat_-4, rat_0) = rat_0
% 47.80/7.21    & rat_$product(rat_6, rat_4/3) = rat_8 & rat_$product(rat_6, rat_1/3) = rat_2
% 47.80/7.21    & rat_$product(rat_6, rat_-1) = rat_-6 & rat_$product(rat_6, rat_1/2) = rat_3
% 47.80/7.21    & rat_$product(rat_6, rat_2/3) = rat_4 & rat_$product(rat_6, rat_1/6) = rat_1
% 47.80/7.21    & rat_$product(rat_6, rat_2) = rat_12 & rat_$product(rat_6, rat_3/2) = rat_9 &
% 47.80/7.21    rat_$product(rat_6, rat_1) = rat_6 & rat_$product(rat_6, rat_1/4) = rat_3/2 &
% 47.80/7.21    rat_$product(rat_6, rat_6) = rat_36 & rat_$product(rat_6, rat_4) = rat_24 &
% 47.80/7.21    rat_$product(rat_6, rat_3) = rat_18 & rat_$product(rat_6, rat_0) = rat_0 &
% 47.80/7.21    rat_$product(rat_4, rat_1/3) = rat_4/3 & rat_$product(rat_4, rat_-1) = rat_-4
% 47.80/7.21    & rat_$product(rat_4, rat_1/2) = rat_2 & rat_$product(rat_4, rat_9) = rat_36 &
% 47.80/7.21    rat_$product(rat_4, rat_1/6) = rat_2/3 & rat_$product(rat_4, rat_2) = rat_8 &
% 47.80/7.21    rat_$product(rat_4, rat_3/4) = rat_3 & rat_$product(rat_4, rat_3/2) = rat_6 &
% 47.80/7.21    rat_$product(rat_4, rat_1) = rat_4 & rat_$product(rat_4, rat_1/4) = rat_1 &
% 47.80/7.21    rat_$product(rat_4, rat_6) = rat_24 & rat_$product(rat_4, rat_4) = rat_16 &
% 47.80/7.21    rat_$product(rat_4, rat_3) = rat_12 & rat_$product(rat_4, rat_0) = rat_0 &
% 47.80/7.21    rat_$product(rat_3, rat_4/3) = rat_4 & rat_$product(rat_3, rat_1/3) = rat_1 &
% 47.80/7.21    rat_$product(rat_3, rat_-1) = rat_-3 & rat_$product(rat_3, rat_1/2) = rat_3/2
% 47.80/7.21    & rat_$product(rat_3, rat_2/3) = rat_2 & rat_$product(rat_3, rat_1/6) =
% 47.80/7.21    rat_1/2 & rat_$product(rat_3, rat_2) = rat_6 & rat_$product(rat_3, rat_12) =
% 47.80/7.21    rat_36 & rat_$product(rat_3, rat_-2) = rat_-6 & rat_$product(rat_3, rat_1) =
% 47.80/7.21    rat_3 & rat_$product(rat_3, rat_1/4) = rat_3/4 & rat_$product(rat_3, rat_8) =
% 47.80/7.21    rat_24 & rat_$product(rat_3, rat_6) = rat_18 & rat_$product(rat_3, rat_4) =
% 47.80/7.21    rat_12 & rat_$product(rat_3, rat_3) = rat_9 & rat_$product(rat_3, rat_0) =
% 47.80/7.21    rat_0 & rat_$product(rat_0, rat_4/3) = rat_0 & rat_$product(rat_0, rat_1/3) =
% 47.80/7.21    rat_0 & rat_$product(rat_0, rat_-1) = rat_0 & rat_$product(rat_0, rat_-3) =
% 47.80/7.21    rat_0 & rat_$product(rat_0, rat_1/2) = rat_0 & rat_$product(rat_0, rat_18) =
% 47.80/7.21    rat_0 & rat_$product(rat_0, rat_9) = rat_0 & rat_$product(rat_0, rat_36) =
% 47.80/7.21    rat_0 & rat_$product(rat_0, rat_2/3) = rat_0 & rat_$product(rat_0, rat_1/6) =
% 47.80/7.21    rat_0 & rat_$product(rat_0, rat_2) = rat_0 & rat_$product(rat_0, rat_-6) =
% 47.80/7.21    rat_0 & rat_$product(rat_0, rat_3/4) = rat_0 & rat_$product(rat_0, rat_12) =
% 47.80/7.21    rat_0 & rat_$product(rat_0, rat_7) = rat_0 & rat_$product(rat_0, rat_3/2) =
% 47.80/7.21    rat_0 & rat_$product(rat_0, rat_24) = rat_0 & rat_$product(rat_0, rat_-2) =
% 47.80/7.21    rat_0 & rat_$product(rat_0, rat_10) = rat_0 & rat_$product(rat_0, rat_1) =
% 47.80/7.21    rat_0 & rat_$product(rat_0, rat_1/4) = rat_0 & rat_$product(rat_0, rat_16) =
% 47.80/7.21    rat_0 & rat_$product(rat_0, rat_8) = rat_0 & rat_$product(rat_0, rat_-4) =
% 47.80/7.21    rat_0 & rat_$product(rat_0, rat_6) = rat_0 & rat_$product(rat_0, rat_4) =
% 47.80/7.21    rat_0 & rat_$product(rat_0, rat_3) = rat_0 & rat_$product(rat_0, rat_0) =
% 47.80/7.21    rat_0 & rat_$sum(rat_4/3, rat_-1) = rat_1/3 & rat_$sum(rat_4/3, rat_2/3) =
% 47.80/7.21    rat_2 & rat_$sum(rat_4/3, rat_1/6) = rat_3/2 & rat_$sum(rat_4/3, rat_0) =
% 47.80/7.21    rat_4/3 & rat_$sum(rat_1/3, rat_1/3) = rat_2/3 & rat_$sum(rat_1/3, rat_2/3) =
% 47.80/7.21    rat_1 & rat_$sum(rat_1/3, rat_1/6) = rat_1/2 & rat_$sum(rat_1/3, rat_1) =
% 47.80/7.21    rat_4/3 & rat_$sum(rat_1/3, rat_0) = rat_1/3 & rat_$sum(rat_-1, rat_4/3) =
% 47.80/7.21    rat_1/3 & rat_$sum(rat_-1, rat_-1) = rat_-2 & rat_$sum(rat_-1, rat_-3) =
% 47.80/7.21    rat_-4 & rat_$sum(rat_-1, rat_9) = rat_8 & rat_$sum(rat_-1, rat_2) = rat_1 &
% 47.80/7.21    rat_$sum(rat_-1, rat_7) = rat_6 & rat_$sum(rat_-1, rat_3/2) = rat_1/2 &
% 47.80/7.21    rat_$sum(rat_-1, rat_-2) = rat_-3 & rat_$sum(rat_-1, rat_10) = rat_9 &
% 47.80/7.21    rat_$sum(rat_-1, rat_1) = rat_0 & rat_$sum(rat_-1, rat_8) = rat_7 &
% 47.80/7.21    rat_$sum(rat_-1, rat_4) = rat_3 & rat_$sum(rat_-1, rat_3) = rat_2 &
% 47.80/7.21    rat_$sum(rat_-1, rat_0) = rat_-1 & rat_$sum(rat_-3, rat_-1) = rat_-4 &
% 47.80/7.21    rat_$sum(rat_-3, rat_-3) = rat_-6 & rat_$sum(rat_-3, rat_9) = rat_6 &
% 47.80/7.21    rat_$sum(rat_-3, rat_2) = rat_-1 & rat_$sum(rat_-3, rat_12) = rat_9 &
% 47.80/7.21    rat_$sum(rat_-3, rat_7) = rat_4 & rat_$sum(rat_-3, rat_10) = rat_7 &
% 47.80/7.21    rat_$sum(rat_-3, rat_1) = rat_-2 & rat_$sum(rat_-3, rat_6) = rat_3 &
% 47.80/7.21    rat_$sum(rat_-3, rat_4) = rat_1 & rat_$sum(rat_-3, rat_3) = rat_0 &
% 47.80/7.21    rat_$sum(rat_-3, rat_0) = rat_-3 & rat_$sum(rat_1/2, rat_1/2) = rat_1 &
% 47.80/7.21    rat_$sum(rat_1/2, rat_1/6) = rat_2/3 & rat_$sum(rat_1/2, rat_3/2) = rat_2 &
% 47.80/7.21    rat_$sum(rat_1/2, rat_1) = rat_3/2 & rat_$sum(rat_1/2, rat_1/4) = rat_3/4 &
% 47.80/7.21    rat_$sum(rat_1/2, rat_0) = rat_1/2 & rat_$sum(rat_18, rat_18) = rat_36 &
% 47.80/7.21    rat_$sum(rat_18, rat_-6) = rat_12 & rat_$sum(rat_18, rat_-2) = rat_16 &
% 47.80/7.21    rat_$sum(rat_18, rat_6) = rat_24 & rat_$sum(rat_18, rat_0) = rat_18 &
% 47.80/7.21    rat_$sum(rat_9, rat_-1) = rat_8 & rat_$sum(rat_9, rat_-3) = rat_6 &
% 47.80/7.21    rat_$sum(rat_9, rat_9) = rat_18 & rat_$sum(rat_9, rat_-6) = rat_3 &
% 47.80/7.21    rat_$sum(rat_9, rat_7) = rat_16 & rat_$sum(rat_9, rat_-2) = rat_7 &
% 47.80/7.21    rat_$sum(rat_9, rat_1) = rat_10 & rat_$sum(rat_9, rat_3) = rat_12 &
% 47.80/7.21    rat_$sum(rat_9, rat_0) = rat_9 & rat_$sum(rat_36, rat_0) = rat_36 &
% 47.80/7.21    rat_$sum(rat_2/3, rat_4/3) = rat_2 & rat_$sum(rat_2/3, rat_1/3) = rat_1 &
% 47.80/7.21    rat_$sum(rat_2/3, rat_2/3) = rat_4/3 & rat_$sum(rat_2/3, rat_0) = rat_2/3 &
% 47.80/7.21    rat_$sum(rat_1/6, rat_4/3) = rat_3/2 & rat_$sum(rat_1/6, rat_1/3) = rat_1/2 &
% 47.80/7.21    rat_$sum(rat_1/6, rat_1/2) = rat_2/3 & rat_$sum(rat_1/6, rat_1/6) = rat_1/3 &
% 47.80/7.21    rat_$sum(rat_1/6, rat_0) = rat_1/6 & rat_$sum(rat_2, rat_-1) = rat_1 &
% 47.80/7.21    rat_$sum(rat_2, rat_-3) = rat_-1 & rat_$sum(rat_2, rat_2) = rat_4 &
% 47.80/7.21    rat_$sum(rat_2, rat_-6) = rat_-4 & rat_$sum(rat_2, rat_7) = rat_9 &
% 47.80/7.21    rat_$sum(rat_2, rat_-2) = rat_0 & rat_$sum(rat_2, rat_10) = rat_12 &
% 47.80/7.21    rat_$sum(rat_2, rat_1) = rat_3 & rat_$sum(rat_2, rat_16) = rat_18 &
% 47.80/7.21    rat_$sum(rat_2, rat_8) = rat_10 & rat_$sum(rat_2, rat_-4) = rat_-2 &
% 47.80/7.21    rat_$sum(rat_2, rat_6) = rat_8 & rat_$sum(rat_2, rat_4) = rat_6 &
% 47.80/7.21    rat_$sum(rat_2, rat_0) = rat_2 & rat_$sum(rat_-6, rat_18) = rat_12 &
% 47.80/7.21    rat_$sum(rat_-6, rat_9) = rat_3 & rat_$sum(rat_-6, rat_2) = rat_-4 &
% 47.80/7.21    rat_$sum(rat_-6, rat_12) = rat_6 & rat_$sum(rat_-6, rat_7) = rat_1 &
% 47.80/7.21    rat_$sum(rat_-6, rat_24) = rat_18 & rat_$sum(rat_-6, rat_10) = rat_4 &
% 47.80/7.21    rat_$sum(rat_-6, rat_16) = rat_10 & rat_$sum(rat_-6, rat_8) = rat_2 &
% 47.80/7.21    rat_$sum(rat_-6, rat_6) = rat_0 & rat_$sum(rat_-6, rat_4) = rat_-2 &
% 47.80/7.21    rat_$sum(rat_-6, rat_3) = rat_-3 & rat_$sum(rat_-6, rat_0) = rat_-6 &
% 47.80/7.21    rat_$sum(rat_3/4, rat_3/4) = rat_3/2 & rat_$sum(rat_3/4, rat_1/4) = rat_1 &
% 47.80/7.21    rat_$sum(rat_3/4, rat_0) = rat_3/4 & rat_$sum(rat_12, rat_-3) = rat_9 &
% 47.80/7.21    rat_$sum(rat_12, rat_-6) = rat_6 & rat_$sum(rat_12, rat_12) = rat_24 &
% 47.80/7.21    rat_$sum(rat_12, rat_24) = rat_36 & rat_$sum(rat_12, rat_-2) = rat_10 &
% 47.80/7.21    rat_$sum(rat_12, rat_-4) = rat_8 & rat_$sum(rat_12, rat_6) = rat_18 &
% 47.80/7.21    rat_$sum(rat_12, rat_4) = rat_16 & rat_$sum(rat_12, rat_0) = rat_12 &
% 47.80/7.21    rat_$sum(rat_7, rat_-1) = rat_6 & rat_$sum(rat_7, rat_-3) = rat_4 &
% 47.80/7.21    rat_$sum(rat_7, rat_9) = rat_16 & rat_$sum(rat_7, rat_2) = rat_9 &
% 47.80/7.21    rat_$sum(rat_7, rat_-6) = rat_1 & rat_$sum(rat_7, rat_1) = rat_8 &
% 47.80/7.21    rat_$sum(rat_7, rat_-4) = rat_3 & rat_$sum(rat_7, rat_3) = rat_10 &
% 47.80/7.21    rat_$sum(rat_7, rat_0) = rat_7 & rat_$sum(rat_3/2, rat_-1) = rat_1/2 &
% 47.80/7.21    rat_$sum(rat_3/2, rat_1/2) = rat_2 & rat_$sum(rat_3/2, rat_3/2) = rat_3 &
% 47.80/7.21    rat_$sum(rat_3/2, rat_0) = rat_3/2 & rat_$sum(rat_24, rat_-6) = rat_18 &
% 47.80/7.21    rat_$sum(rat_24, rat_12) = rat_36 & rat_$sum(rat_24, rat_0) = rat_24 &
% 47.80/7.21    rat_$sum(rat_-2, rat_-1) = rat_-3 & rat_$sum(rat_-2, rat_18) = rat_16 &
% 47.80/7.21    rat_$sum(rat_-2, rat_9) = rat_7 & rat_$sum(rat_-2, rat_2) = rat_0 &
% 47.80/7.21    rat_$sum(rat_-2, rat_12) = rat_10 & rat_$sum(rat_-2, rat_-2) = rat_-4 &
% 47.80/7.21    rat_$sum(rat_-2, rat_10) = rat_8 & rat_$sum(rat_-2, rat_1) = rat_-1 &
% 47.80/7.21    rat_$sum(rat_-2, rat_8) = rat_6 & rat_$sum(rat_-2, rat_-4) = rat_-6 &
% 47.80/7.21    rat_$sum(rat_-2, rat_6) = rat_4 & rat_$sum(rat_-2, rat_4) = rat_2 &
% 47.80/7.21    rat_$sum(rat_-2, rat_3) = rat_1 & rat_$sum(rat_-2, rat_0) = rat_-2 &
% 47.80/7.21    rat_$sum(rat_10, rat_-1) = rat_9 & rat_$sum(rat_10, rat_-3) = rat_7 &
% 47.80/7.21    rat_$sum(rat_10, rat_2) = rat_12 & rat_$sum(rat_10, rat_-6) = rat_4 &
% 47.80/7.21    rat_$sum(rat_10, rat_-2) = rat_8 & rat_$sum(rat_10, rat_8) = rat_18 &
% 47.80/7.21    rat_$sum(rat_10, rat_-4) = rat_6 & rat_$sum(rat_10, rat_6) = rat_16 &
% 47.80/7.21    rat_$sum(rat_10, rat_0) = rat_10 & rat_$sum(rat_1, rat_1/3) = rat_4/3 &
% 47.80/7.21    rat_$sum(rat_1, rat_-1) = rat_0 & rat_$sum(rat_1, rat_-3) = rat_-2 &
% 47.80/7.21    rat_$sum(rat_1, rat_1/2) = rat_3/2 & rat_$sum(rat_1, rat_9) = rat_10 &
% 47.80/7.21    rat_$sum(rat_1, rat_2) = rat_3 & rat_$sum(rat_1, rat_7) = rat_8 &
% 47.80/7.21    rat_$sum(rat_1, rat_-2) = rat_-1 & rat_$sum(rat_1, rat_1) = rat_2 &
% 47.80/7.21    rat_$sum(rat_1, rat_8) = rat_9 & rat_$sum(rat_1, rat_-4) = rat_-3 &
% 47.80/7.21    rat_$sum(rat_1, rat_6) = rat_7 & rat_$sum(rat_1, rat_3) = rat_4 &
% 47.80/7.21    rat_$sum(rat_1, rat_0) = rat_1 & rat_$sum(rat_1/4, rat_1/2) = rat_3/4 &
% 47.80/7.21    rat_$sum(rat_1/4, rat_3/4) = rat_1 & rat_$sum(rat_1/4, rat_1/4) = rat_1/2 &
% 47.80/7.21    rat_$sum(rat_1/4, rat_0) = rat_1/4 & rat_$sum(rat_16, rat_2) = rat_18 &
% 47.80/7.21    rat_$sum(rat_16, rat_-6) = rat_10 & rat_$sum(rat_16, rat_8) = rat_24 &
% 47.80/7.21    rat_$sum(rat_16, rat_-4) = rat_12 & rat_$sum(rat_16, rat_0) = rat_16 &
% 47.80/7.21    rat_$sum(rat_8, rat_-1) = rat_7 & rat_$sum(rat_8, rat_2) = rat_10 &
% 47.80/7.21    rat_$sum(rat_8, rat_-6) = rat_2 & rat_$sum(rat_8, rat_-2) = rat_6 &
% 47.80/7.21    rat_$sum(rat_8, rat_10) = rat_18 & rat_$sum(rat_8, rat_1) = rat_9 &
% 47.80/7.21    rat_$sum(rat_8, rat_16) = rat_24 & rat_$sum(rat_8, rat_8) = rat_16 &
% 47.80/7.21    rat_$sum(rat_8, rat_-4) = rat_4 & rat_$sum(rat_8, rat_4) = rat_12 &
% 47.80/7.21    rat_$sum(rat_8, rat_0) = rat_8 & rat_$sum(rat_-4, rat_2) = rat_-2 &
% 47.80/7.21    rat_$sum(rat_-4, rat_12) = rat_8 & rat_$sum(rat_-4, rat_7) = rat_3 &
% 47.80/7.21    rat_$sum(rat_-4, rat_-2) = rat_-6 & rat_$sum(rat_-4, rat_10) = rat_6 &
% 47.80/7.21    rat_$sum(rat_-4, rat_1) = rat_-3 & rat_$sum(rat_-4, rat_16) = rat_12 &
% 47.80/7.21    rat_$sum(rat_-4, rat_8) = rat_4 & rat_$sum(rat_-4, rat_6) = rat_2 &
% 47.80/7.21    rat_$sum(rat_-4, rat_4) = rat_0 & rat_$sum(rat_-4, rat_3) = rat_-1 &
% 47.80/7.21    rat_$sum(rat_-4, rat_0) = rat_-4 & rat_$sum(rat_6, rat_-3) = rat_3 &
% 47.80/7.21    rat_$sum(rat_6, rat_18) = rat_24 & rat_$sum(rat_6, rat_2) = rat_8 &
% 47.80/7.21    rat_$sum(rat_6, rat_-6) = rat_0 & rat_$sum(rat_6, rat_12) = rat_18 &
% 47.80/7.21    rat_$sum(rat_6, rat_-2) = rat_4 & rat_$sum(rat_6, rat_10) = rat_16 &
% 47.80/7.21    rat_$sum(rat_6, rat_1) = rat_7 & rat_$sum(rat_6, rat_-4) = rat_2 &
% 47.80/7.21    rat_$sum(rat_6, rat_6) = rat_12 & rat_$sum(rat_6, rat_4) = rat_10 &
% 47.80/7.21    rat_$sum(rat_6, rat_3) = rat_9 & rat_$sum(rat_6, rat_0) = rat_6 &
% 47.80/7.21    rat_$sum(rat_4, rat_-1) = rat_3 & rat_$sum(rat_4, rat_-3) = rat_1 &
% 47.80/7.21    rat_$sum(rat_4, rat_2) = rat_6 & rat_$sum(rat_4, rat_-6) = rat_-2 &
% 47.80/7.21    rat_$sum(rat_4, rat_12) = rat_16 & rat_$sum(rat_4, rat_-2) = rat_2 &
% 47.80/7.21    rat_$sum(rat_4, rat_8) = rat_12 & rat_$sum(rat_4, rat_-4) = rat_0 &
% 47.80/7.21    rat_$sum(rat_4, rat_6) = rat_10 & rat_$sum(rat_4, rat_4) = rat_8 &
% 47.80/7.21    rat_$sum(rat_4, rat_3) = rat_7 & rat_$sum(rat_4, rat_0) = rat_4 &
% 47.80/7.21    rat_$sum(rat_3, rat_-1) = rat_2 & rat_$sum(rat_3, rat_-3) = rat_0 &
% 47.80/7.21    rat_$sum(rat_3, rat_9) = rat_12 & rat_$sum(rat_3, rat_-6) = rat_-3 &
% 47.80/7.21    rat_$sum(rat_3, rat_7) = rat_10 & rat_$sum(rat_3, rat_-2) = rat_1 &
% 47.80/7.21    rat_$sum(rat_3, rat_1) = rat_4 & rat_$sum(rat_3, rat_-4) = rat_-1 &
% 47.80/7.21    rat_$sum(rat_3, rat_6) = rat_9 & rat_$sum(rat_3, rat_4) = rat_7 &
% 47.80/7.21    rat_$sum(rat_3, rat_3) = rat_6 & rat_$sum(rat_3, rat_0) = rat_3 &
% 47.80/7.21    rat_$sum(rat_0, rat_4/3) = rat_4/3 & rat_$sum(rat_0, rat_1/3) = rat_1/3 &
% 47.80/7.21    rat_$sum(rat_0, rat_-1) = rat_-1 & rat_$sum(rat_0, rat_-3) = rat_-3 &
% 47.80/7.21    rat_$sum(rat_0, rat_1/2) = rat_1/2 & rat_$sum(rat_0, rat_18) = rat_18 &
% 47.80/7.21    rat_$sum(rat_0, rat_9) = rat_9 & rat_$sum(rat_0, rat_36) = rat_36 &
% 47.80/7.21    rat_$sum(rat_0, rat_2/3) = rat_2/3 & rat_$sum(rat_0, rat_1/6) = rat_1/6 &
% 47.80/7.21    rat_$sum(rat_0, rat_2) = rat_2 & rat_$sum(rat_0, rat_-6) = rat_-6 &
% 47.80/7.21    rat_$sum(rat_0, rat_3/4) = rat_3/4 & rat_$sum(rat_0, rat_12) = rat_12 &
% 47.80/7.21    rat_$sum(rat_0, rat_7) = rat_7 & rat_$sum(rat_0, rat_3/2) = rat_3/2 &
% 47.80/7.21    rat_$sum(rat_0, rat_24) = rat_24 & rat_$sum(rat_0, rat_-2) = rat_-2 &
% 47.80/7.21    rat_$sum(rat_0, rat_10) = rat_10 & rat_$sum(rat_0, rat_1) = rat_1 &
% 47.80/7.21    rat_$sum(rat_0, rat_1/4) = rat_1/4 & rat_$sum(rat_0, rat_16) = rat_16 &
% 47.80/7.21    rat_$sum(rat_0, rat_8) = rat_8 & rat_$sum(rat_0, rat_-4) = rat_-4 &
% 47.80/7.21    rat_$sum(rat_0, rat_6) = rat_6 & rat_$sum(rat_0, rat_4) = rat_4 &
% 47.80/7.21    rat_$sum(rat_0, rat_3) = rat_3 & rat_$sum(rat_0, rat_0) = rat_0 &
% 47.80/7.21    rat_$is_rat(rat_4/3) & rat_$is_rat(rat_1/3) & rat_$is_rat(rat_-1) &
% 47.80/7.21    rat_$is_rat(rat_-3) & rat_$is_rat(rat_1/2) & rat_$is_rat(rat_18) &
% 47.80/7.21    rat_$is_rat(rat_9) & rat_$is_rat(rat_36) & rat_$is_rat(rat_2/3) &
% 47.80/7.21    rat_$is_rat(rat_1/6) & rat_$is_rat(rat_2) & rat_$is_rat(rat_-6) &
% 47.80/7.21    rat_$is_rat(rat_3/4) & rat_$is_rat(rat_12) & rat_$is_rat(rat_7) &
% 47.80/7.21    rat_$is_rat(rat_3/2) & rat_$is_rat(rat_24) & rat_$is_rat(rat_-2) &
% 47.80/7.21    rat_$is_rat(rat_10) & rat_$is_rat(rat_1) & rat_$is_rat(rat_1/4) &
% 47.80/7.21    rat_$is_rat(rat_16) & rat_$is_rat(rat_8) & rat_$is_rat(rat_-4) &
% 47.80/7.21    rat_$is_rat(rat_6) & rat_$is_rat(rat_4) & rat_$is_rat(rat_3) &
% 47.80/7.21    rat_$is_rat(rat_0) & rat_$is_int(rat_-1) & rat_$is_int(rat_-3) &
% 47.80/7.21    rat_$is_int(rat_18) & rat_$is_int(rat_9) & rat_$is_int(rat_36) &
% 47.80/7.21    rat_$is_int(rat_2) & rat_$is_int(rat_-6) & rat_$is_int(rat_12) &
% 47.80/7.21    rat_$is_int(rat_7) & rat_$is_int(rat_24) & rat_$is_int(rat_-2) &
% 47.80/7.21    rat_$is_int(rat_10) & rat_$is_int(rat_1) & rat_$is_int(rat_16) &
% 47.80/7.21    rat_$is_int(rat_8) & rat_$is_int(rat_-4) & rat_$is_int(rat_6) &
% 47.80/7.21    rat_$is_int(rat_4) & rat_$is_int(rat_3) & rat_$is_int(rat_0) &
% 47.80/7.21    rat_$greatereq(rat_4/3, rat_4/3) & rat_$greatereq(rat_4/3, rat_1/3) &
% 47.80/7.21    rat_$greatereq(rat_4/3, rat_-1) & rat_$greatereq(rat_4/3, rat_-3) &
% 47.80/7.21    rat_$greatereq(rat_4/3, rat_1/2) & rat_$greatereq(rat_4/3, rat_2/3) &
% 47.80/7.21    rat_$greatereq(rat_4/3, rat_1/6) & rat_$greatereq(rat_4/3, rat_-6) &
% 47.80/7.21    rat_$greatereq(rat_4/3, rat_3/4) & rat_$greatereq(rat_4/3, rat_-2) &
% 47.80/7.21    rat_$greatereq(rat_4/3, rat_1) & rat_$greatereq(rat_4/3, rat_1/4) &
% 47.80/7.21    rat_$greatereq(rat_4/3, rat_-4) & rat_$greatereq(rat_4/3, rat_0) &
% 47.80/7.21    rat_$greatereq(rat_1/3, rat_1/3) & rat_$greatereq(rat_1/3, rat_-1) &
% 47.80/7.21    rat_$greatereq(rat_1/3, rat_-3) & rat_$greatereq(rat_1/3, rat_1/6) &
% 47.80/7.21    rat_$greatereq(rat_1/3, rat_-6) & rat_$greatereq(rat_1/3, rat_-2) &
% 47.80/7.21    rat_$greatereq(rat_1/3, rat_1/4) & rat_$greatereq(rat_1/3, rat_-4) &
% 47.80/7.21    rat_$greatereq(rat_1/3, rat_0) & rat_$greatereq(rat_-1, rat_-1) &
% 47.80/7.21    rat_$greatereq(rat_-1, rat_-3) & rat_$greatereq(rat_-1, rat_-6) &
% 47.80/7.21    rat_$greatereq(rat_-1, rat_-2) & rat_$greatereq(rat_-1, rat_-4) &
% 47.80/7.21    rat_$greatereq(rat_-3, rat_-3) & rat_$greatereq(rat_-3, rat_-6) &
% 47.80/7.21    rat_$greatereq(rat_-3, rat_-4) & rat_$greatereq(rat_1/2, rat_1/3) &
% 47.80/7.21    rat_$greatereq(rat_1/2, rat_-1) & rat_$greatereq(rat_1/2, rat_-3) &
% 47.80/7.21    rat_$greatereq(rat_1/2, rat_1/2) & rat_$greatereq(rat_1/2, rat_1/6) &
% 47.80/7.21    rat_$greatereq(rat_1/2, rat_-6) & rat_$greatereq(rat_1/2, rat_-2) &
% 47.80/7.21    rat_$greatereq(rat_1/2, rat_1/4) & rat_$greatereq(rat_1/2, rat_-4) &
% 47.80/7.21    rat_$greatereq(rat_1/2, rat_0) & rat_$greatereq(rat_18, rat_4/3) &
% 47.80/7.21    rat_$greatereq(rat_18, rat_1/3) & rat_$greatereq(rat_18, rat_-1) &
% 47.80/7.21    rat_$greatereq(rat_18, rat_-3) & rat_$greatereq(rat_18, rat_1/2) &
% 47.80/7.21    rat_$greatereq(rat_18, rat_18) & rat_$greatereq(rat_18, rat_9) &
% 47.80/7.21    rat_$greatereq(rat_18, rat_2/3) & rat_$greatereq(rat_18, rat_1/6) &
% 47.80/7.21    rat_$greatereq(rat_18, rat_2) & rat_$greatereq(rat_18, rat_-6) &
% 47.80/7.21    rat_$greatereq(rat_18, rat_3/4) & rat_$greatereq(rat_18, rat_12) &
% 47.80/7.21    rat_$greatereq(rat_18, rat_7) & rat_$greatereq(rat_18, rat_3/2) &
% 47.80/7.21    rat_$greatereq(rat_18, rat_-2) & rat_$greatereq(rat_18, rat_10) &
% 47.80/7.21    rat_$greatereq(rat_18, rat_1) & rat_$greatereq(rat_18, rat_1/4) &
% 47.80/7.21    rat_$greatereq(rat_18, rat_16) & rat_$greatereq(rat_18, rat_8) &
% 47.80/7.21    rat_$greatereq(rat_18, rat_-4) & rat_$greatereq(rat_18, rat_6) &
% 47.80/7.21    rat_$greatereq(rat_18, rat_4) & rat_$greatereq(rat_18, rat_3) &
% 47.80/7.21    rat_$greatereq(rat_18, rat_0) & rat_$greatereq(rat_9, rat_4/3) &
% 47.80/7.21    rat_$greatereq(rat_9, rat_1/3) & rat_$greatereq(rat_9, rat_-1) &
% 47.80/7.21    rat_$greatereq(rat_9, rat_-3) & rat_$greatereq(rat_9, rat_1/2) &
% 47.80/7.21    rat_$greatereq(rat_9, rat_9) & rat_$greatereq(rat_9, rat_2/3) &
% 47.80/7.21    rat_$greatereq(rat_9, rat_1/6) & rat_$greatereq(rat_9, rat_2) &
% 47.80/7.21    rat_$greatereq(rat_9, rat_-6) & rat_$greatereq(rat_9, rat_3/4) &
% 47.80/7.21    rat_$greatereq(rat_9, rat_7) & rat_$greatereq(rat_9, rat_3/2) &
% 47.80/7.21    rat_$greatereq(rat_9, rat_-2) & rat_$greatereq(rat_9, rat_1) &
% 47.80/7.21    rat_$greatereq(rat_9, rat_1/4) & rat_$greatereq(rat_9, rat_8) &
% 47.80/7.21    rat_$greatereq(rat_9, rat_-4) & rat_$greatereq(rat_9, rat_6) &
% 47.80/7.21    rat_$greatereq(rat_9, rat_4) & rat_$greatereq(rat_9, rat_3) &
% 47.80/7.21    rat_$greatereq(rat_9, rat_0) & rat_$greatereq(rat_36, rat_4/3) &
% 47.80/7.21    rat_$greatereq(rat_36, rat_1/3) & rat_$greatereq(rat_36, rat_-1) &
% 47.80/7.21    rat_$greatereq(rat_36, rat_-3) & rat_$greatereq(rat_36, rat_1/2) &
% 47.80/7.21    rat_$greatereq(rat_36, rat_18) & rat_$greatereq(rat_36, rat_9) &
% 47.80/7.21    rat_$greatereq(rat_36, rat_36) & rat_$greatereq(rat_36, rat_2/3) &
% 47.80/7.21    rat_$greatereq(rat_36, rat_1/6) & rat_$greatereq(rat_36, rat_2) &
% 47.80/7.21    rat_$greatereq(rat_36, rat_-6) & rat_$greatereq(rat_36, rat_3/4) &
% 47.80/7.21    rat_$greatereq(rat_36, rat_12) & rat_$greatereq(rat_36, rat_7) &
% 47.80/7.21    rat_$greatereq(rat_36, rat_3/2) & rat_$greatereq(rat_36, rat_24) &
% 47.80/7.21    rat_$greatereq(rat_36, rat_-2) & rat_$greatereq(rat_36, rat_10) &
% 47.80/7.21    rat_$greatereq(rat_36, rat_1) & rat_$greatereq(rat_36, rat_1/4) &
% 47.80/7.21    rat_$greatereq(rat_36, rat_16) & rat_$greatereq(rat_36, rat_8) &
% 47.80/7.21    rat_$greatereq(rat_36, rat_-4) & rat_$greatereq(rat_36, rat_6) &
% 47.80/7.21    rat_$greatereq(rat_36, rat_4) & rat_$greatereq(rat_36, rat_3) &
% 47.80/7.21    rat_$greatereq(rat_36, rat_0) & rat_$greatereq(rat_2/3, rat_1/3) &
% 47.80/7.21    rat_$greatereq(rat_2/3, rat_-1) & rat_$greatereq(rat_2/3, rat_-3) &
% 47.80/7.21    rat_$greatereq(rat_2/3, rat_1/2) & rat_$greatereq(rat_2/3, rat_2/3) &
% 47.80/7.21    rat_$greatereq(rat_2/3, rat_1/6) & rat_$greatereq(rat_2/3, rat_-6) &
% 47.80/7.21    rat_$greatereq(rat_2/3, rat_-2) & rat_$greatereq(rat_2/3, rat_1/4) &
% 47.80/7.21    rat_$greatereq(rat_2/3, rat_-4) & rat_$greatereq(rat_2/3, rat_0) &
% 47.80/7.21    rat_$greatereq(rat_1/6, rat_-1) & rat_$greatereq(rat_1/6, rat_-3) &
% 47.80/7.21    rat_$greatereq(rat_1/6, rat_1/6) & rat_$greatereq(rat_1/6, rat_-6) &
% 47.80/7.21    rat_$greatereq(rat_1/6, rat_-2) & rat_$greatereq(rat_1/6, rat_-4) &
% 47.80/7.21    rat_$greatereq(rat_1/6, rat_0) & rat_$greatereq(rat_2, rat_4/3) &
% 47.80/7.21    rat_$greatereq(rat_2, rat_1/3) & rat_$greatereq(rat_2, rat_-1) &
% 47.80/7.21    rat_$greatereq(rat_2, rat_-3) & rat_$greatereq(rat_2, rat_1/2) &
% 47.80/7.21    rat_$greatereq(rat_2, rat_2/3) & rat_$greatereq(rat_2, rat_1/6) &
% 47.80/7.21    rat_$greatereq(rat_2, rat_2) & rat_$greatereq(rat_2, rat_-6) &
% 47.80/7.21    rat_$greatereq(rat_2, rat_3/4) & rat_$greatereq(rat_2, rat_3/2) &
% 47.80/7.21    rat_$greatereq(rat_2, rat_-2) & rat_$greatereq(rat_2, rat_1) &
% 47.80/7.21    rat_$greatereq(rat_2, rat_1/4) & rat_$greatereq(rat_2, rat_-4) &
% 47.80/7.21    rat_$greatereq(rat_2, rat_0) & rat_$greatereq(rat_-6, rat_-6) &
% 47.80/7.21    rat_$greatereq(rat_3/4, rat_1/3) & rat_$greatereq(rat_3/4, rat_-1) &
% 47.80/7.21    rat_$greatereq(rat_3/4, rat_-3) & rat_$greatereq(rat_3/4, rat_1/2) &
% 47.80/7.21    rat_$greatereq(rat_3/4, rat_2/3) & rat_$greatereq(rat_3/4, rat_1/6) &
% 47.80/7.21    rat_$greatereq(rat_3/4, rat_-6) & rat_$greatereq(rat_3/4, rat_3/4) &
% 47.80/7.21    rat_$greatereq(rat_3/4, rat_-2) & rat_$greatereq(rat_3/4, rat_1/4) &
% 47.80/7.21    rat_$greatereq(rat_3/4, rat_-4) & rat_$greatereq(rat_3/4, rat_0) &
% 47.80/7.21    rat_$greatereq(rat_12, rat_4/3) & rat_$greatereq(rat_12, rat_1/3) &
% 47.80/7.21    rat_$greatereq(rat_12, rat_-1) & rat_$greatereq(rat_12, rat_-3) &
% 47.80/7.21    rat_$greatereq(rat_12, rat_1/2) & rat_$greatereq(rat_12, rat_9) &
% 47.80/7.21    rat_$greatereq(rat_12, rat_2/3) & rat_$greatereq(rat_12, rat_1/6) &
% 47.80/7.21    rat_$greatereq(rat_12, rat_2) & rat_$greatereq(rat_12, rat_-6) &
% 47.80/7.21    rat_$greatereq(rat_12, rat_3/4) & rat_$greatereq(rat_12, rat_12) &
% 47.80/7.21    rat_$greatereq(rat_12, rat_7) & rat_$greatereq(rat_12, rat_3/2) &
% 47.80/7.21    rat_$greatereq(rat_12, rat_-2) & rat_$greatereq(rat_12, rat_10) &
% 47.80/7.21    rat_$greatereq(rat_12, rat_1) & rat_$greatereq(rat_12, rat_1/4) &
% 47.80/7.21    rat_$greatereq(rat_12, rat_8) & rat_$greatereq(rat_12, rat_-4) &
% 47.80/7.21    rat_$greatereq(rat_12, rat_6) & rat_$greatereq(rat_12, rat_4) &
% 47.80/7.21    rat_$greatereq(rat_12, rat_3) & rat_$greatereq(rat_12, rat_0) &
% 47.80/7.21    rat_$greatereq(rat_7, rat_4/3) & rat_$greatereq(rat_7, rat_1/3) &
% 47.80/7.21    rat_$greatereq(rat_7, rat_-1) & rat_$greatereq(rat_7, rat_-3) &
% 47.80/7.21    rat_$greatereq(rat_7, rat_1/2) & rat_$greatereq(rat_7, rat_2/3) &
% 47.80/7.21    rat_$greatereq(rat_7, rat_1/6) & rat_$greatereq(rat_7, rat_2) &
% 47.80/7.21    rat_$greatereq(rat_7, rat_-6) & rat_$greatereq(rat_7, rat_3/4) &
% 47.80/7.21    rat_$greatereq(rat_7, rat_7) & rat_$greatereq(rat_7, rat_3/2) &
% 47.80/7.21    rat_$greatereq(rat_7, rat_-2) & rat_$greatereq(rat_7, rat_1) &
% 47.80/7.21    rat_$greatereq(rat_7, rat_1/4) & rat_$greatereq(rat_7, rat_-4) &
% 47.80/7.21    rat_$greatereq(rat_7, rat_6) & rat_$greatereq(rat_7, rat_4) &
% 47.80/7.21    rat_$greatereq(rat_7, rat_3) & rat_$greatereq(rat_7, rat_0) &
% 47.80/7.21    rat_$greatereq(rat_3/2, rat_4/3) & rat_$greatereq(rat_3/2, rat_1/3) &
% 47.80/7.21    rat_$greatereq(rat_3/2, rat_-1) & rat_$greatereq(rat_3/2, rat_-3) &
% 47.80/7.21    rat_$greatereq(rat_3/2, rat_1/2) & rat_$greatereq(rat_3/2, rat_2/3) &
% 47.80/7.21    rat_$greatereq(rat_3/2, rat_1/6) & rat_$greatereq(rat_3/2, rat_-6) &
% 47.80/7.21    rat_$greatereq(rat_3/2, rat_3/4) & rat_$greatereq(rat_3/2, rat_3/2) &
% 47.80/7.21    rat_$greatereq(rat_3/2, rat_-2) & rat_$greatereq(rat_3/2, rat_1) &
% 47.80/7.21    rat_$greatereq(rat_3/2, rat_1/4) & rat_$greatereq(rat_3/2, rat_-4) &
% 47.80/7.22    rat_$greatereq(rat_3/2, rat_0) & rat_$greatereq(rat_24, rat_4/3) &
% 47.80/7.22    rat_$greatereq(rat_24, rat_1/3) & rat_$greatereq(rat_24, rat_-1) &
% 47.80/7.22    rat_$greatereq(rat_24, rat_-3) & rat_$greatereq(rat_24, rat_1/2) &
% 47.80/7.22    rat_$greatereq(rat_24, rat_18) & rat_$greatereq(rat_24, rat_9) &
% 47.80/7.22    rat_$greatereq(rat_24, rat_2/3) & rat_$greatereq(rat_24, rat_1/6) &
% 47.80/7.22    rat_$greatereq(rat_24, rat_2) & rat_$greatereq(rat_24, rat_-6) &
% 47.80/7.22    rat_$greatereq(rat_24, rat_3/4) & rat_$greatereq(rat_24, rat_12) &
% 47.80/7.22    rat_$greatereq(rat_24, rat_7) & rat_$greatereq(rat_24, rat_3/2) &
% 47.80/7.22    rat_$greatereq(rat_24, rat_24) & rat_$greatereq(rat_24, rat_-2) &
% 47.80/7.22    rat_$greatereq(rat_24, rat_10) & rat_$greatereq(rat_24, rat_1) &
% 47.80/7.22    rat_$greatereq(rat_24, rat_1/4) & rat_$greatereq(rat_24, rat_16) &
% 47.80/7.22    rat_$greatereq(rat_24, rat_8) & rat_$greatereq(rat_24, rat_-4) &
% 47.80/7.22    rat_$greatereq(rat_24, rat_6) & rat_$greatereq(rat_24, rat_4) &
% 47.80/7.22    rat_$greatereq(rat_24, rat_3) & rat_$greatereq(rat_24, rat_0) &
% 47.80/7.22    rat_$greatereq(rat_-2, rat_-3) & rat_$greatereq(rat_-2, rat_-6) &
% 47.80/7.22    rat_$greatereq(rat_-2, rat_-2) & rat_$greatereq(rat_-2, rat_-4) &
% 47.80/7.22    rat_$greatereq(rat_10, rat_4/3) & rat_$greatereq(rat_10, rat_1/3) &
% 47.80/7.22    rat_$greatereq(rat_10, rat_-1) & rat_$greatereq(rat_10, rat_-3) &
% 47.80/7.22    rat_$greatereq(rat_10, rat_1/2) & rat_$greatereq(rat_10, rat_9) &
% 47.80/7.22    rat_$greatereq(rat_10, rat_2/3) & rat_$greatereq(rat_10, rat_1/6) &
% 47.80/7.22    rat_$greatereq(rat_10, rat_2) & rat_$greatereq(rat_10, rat_-6) &
% 47.80/7.22    rat_$greatereq(rat_10, rat_3/4) & rat_$greatereq(rat_10, rat_7) &
% 47.80/7.22    rat_$greatereq(rat_10, rat_3/2) & rat_$greatereq(rat_10, rat_-2) &
% 47.80/7.22    rat_$greatereq(rat_10, rat_10) & rat_$greatereq(rat_10, rat_1) &
% 47.80/7.22    rat_$greatereq(rat_10, rat_1/4) & rat_$greatereq(rat_10, rat_8) &
% 47.80/7.22    rat_$greatereq(rat_10, rat_-4) & rat_$greatereq(rat_10, rat_6) &
% 47.80/7.22    rat_$greatereq(rat_10, rat_4) & rat_$greatereq(rat_10, rat_3) &
% 47.80/7.22    rat_$greatereq(rat_10, rat_0) & rat_$greatereq(rat_1, rat_1/3) &
% 47.80/7.22    rat_$greatereq(rat_1, rat_-1) & rat_$greatereq(rat_1, rat_-3) &
% 47.80/7.22    rat_$greatereq(rat_1, rat_1/2) & rat_$greatereq(rat_1, rat_2/3) &
% 47.80/7.22    rat_$greatereq(rat_1, rat_1/6) & rat_$greatereq(rat_1, rat_-6) &
% 47.80/7.22    rat_$greatereq(rat_1, rat_3/4) & rat_$greatereq(rat_1, rat_-2) &
% 47.80/7.22    rat_$greatereq(rat_1, rat_1) & rat_$greatereq(rat_1, rat_1/4) &
% 47.80/7.22    rat_$greatereq(rat_1, rat_-4) & rat_$greatereq(rat_1, rat_0) &
% 47.80/7.22    rat_$greatereq(rat_1/4, rat_-1) & rat_$greatereq(rat_1/4, rat_-3) &
% 47.80/7.22    rat_$greatereq(rat_1/4, rat_1/6) & rat_$greatereq(rat_1/4, rat_-6) &
% 47.80/7.22    rat_$greatereq(rat_1/4, rat_-2) & rat_$greatereq(rat_1/4, rat_1/4) &
% 47.80/7.22    rat_$greatereq(rat_1/4, rat_-4) & rat_$greatereq(rat_1/4, rat_0) &
% 47.80/7.22    rat_$greatereq(rat_16, rat_4/3) & rat_$greatereq(rat_16, rat_1/3) &
% 47.80/7.22    rat_$greatereq(rat_16, rat_-1) & rat_$greatereq(rat_16, rat_-3) &
% 47.80/7.22    rat_$greatereq(rat_16, rat_1/2) & rat_$greatereq(rat_16, rat_9) &
% 47.80/7.22    rat_$greatereq(rat_16, rat_2/3) & rat_$greatereq(rat_16, rat_1/6) &
% 47.80/7.22    rat_$greatereq(rat_16, rat_2) & rat_$greatereq(rat_16, rat_-6) &
% 47.80/7.22    rat_$greatereq(rat_16, rat_3/4) & rat_$greatereq(rat_16, rat_12) &
% 47.80/7.22    rat_$greatereq(rat_16, rat_7) & rat_$greatereq(rat_16, rat_3/2) &
% 47.80/7.22    rat_$greatereq(rat_16, rat_-2) & rat_$greatereq(rat_16, rat_10) &
% 47.80/7.22    rat_$greatereq(rat_16, rat_1) & rat_$greatereq(rat_16, rat_1/4) &
% 47.80/7.22    rat_$greatereq(rat_16, rat_16) & rat_$greatereq(rat_16, rat_8) &
% 47.80/7.22    rat_$greatereq(rat_16, rat_-4) & rat_$greatereq(rat_16, rat_6) &
% 47.80/7.22    rat_$greatereq(rat_16, rat_4) & rat_$greatereq(rat_16, rat_3) &
% 47.80/7.22    rat_$greatereq(rat_16, rat_0) & rat_$greatereq(rat_8, rat_4/3) &
% 47.80/7.22    rat_$greatereq(rat_8, rat_1/3) & rat_$greatereq(rat_8, rat_-1) &
% 47.80/7.22    rat_$greatereq(rat_8, rat_-3) & rat_$greatereq(rat_8, rat_1/2) &
% 47.80/7.22    rat_$greatereq(rat_8, rat_2/3) & rat_$greatereq(rat_8, rat_1/6) &
% 47.80/7.22    rat_$greatereq(rat_8, rat_2) & rat_$greatereq(rat_8, rat_-6) &
% 47.80/7.22    rat_$greatereq(rat_8, rat_3/4) & rat_$greatereq(rat_8, rat_7) &
% 47.80/7.22    rat_$greatereq(rat_8, rat_3/2) & rat_$greatereq(rat_8, rat_-2) &
% 47.80/7.22    rat_$greatereq(rat_8, rat_1) & rat_$greatereq(rat_8, rat_1/4) &
% 47.80/7.22    rat_$greatereq(rat_8, rat_8) & rat_$greatereq(rat_8, rat_-4) &
% 47.80/7.22    rat_$greatereq(rat_8, rat_6) & rat_$greatereq(rat_8, rat_4) &
% 47.80/7.22    rat_$greatereq(rat_8, rat_3) & rat_$greatereq(rat_8, rat_0) &
% 47.80/7.22    rat_$greatereq(rat_-4, rat_-6) & rat_$greatereq(rat_-4, rat_-4) &
% 47.80/7.22    rat_$greatereq(rat_6, rat_4/3) & rat_$greatereq(rat_6, rat_1/3) &
% 47.80/7.22    rat_$greatereq(rat_6, rat_-1) & rat_$greatereq(rat_6, rat_-3) &
% 47.80/7.22    rat_$greatereq(rat_6, rat_1/2) & rat_$greatereq(rat_6, rat_2/3) &
% 47.80/7.22    rat_$greatereq(rat_6, rat_1/6) & rat_$greatereq(rat_6, rat_2) &
% 47.80/7.22    rat_$greatereq(rat_6, rat_-6) & rat_$greatereq(rat_6, rat_3/4) &
% 47.80/7.22    rat_$greatereq(rat_6, rat_3/2) & rat_$greatereq(rat_6, rat_-2) &
% 47.80/7.22    rat_$greatereq(rat_6, rat_1) & rat_$greatereq(rat_6, rat_1/4) &
% 47.80/7.22    rat_$greatereq(rat_6, rat_-4) & rat_$greatereq(rat_6, rat_6) &
% 47.80/7.22    rat_$greatereq(rat_6, rat_4) & rat_$greatereq(rat_6, rat_3) &
% 47.80/7.22    rat_$greatereq(rat_6, rat_0) & rat_$greatereq(rat_4, rat_4/3) &
% 47.80/7.22    rat_$greatereq(rat_4, rat_1/3) & rat_$greatereq(rat_4, rat_-1) &
% 47.80/7.22    rat_$greatereq(rat_4, rat_-3) & rat_$greatereq(rat_4, rat_1/2) &
% 47.80/7.22    rat_$greatereq(rat_4, rat_2/3) & rat_$greatereq(rat_4, rat_1/6) &
% 47.80/7.22    rat_$greatereq(rat_4, rat_2) & rat_$greatereq(rat_4, rat_-6) &
% 47.80/7.22    rat_$greatereq(rat_4, rat_3/4) & rat_$greatereq(rat_4, rat_3/2) &
% 47.80/7.22    rat_$greatereq(rat_4, rat_-2) & rat_$greatereq(rat_4, rat_1) &
% 47.80/7.22    rat_$greatereq(rat_4, rat_1/4) & rat_$greatereq(rat_4, rat_-4) &
% 47.80/7.22    rat_$greatereq(rat_4, rat_4) & rat_$greatereq(rat_4, rat_3) &
% 47.80/7.22    rat_$greatereq(rat_4, rat_0) & rat_$greatereq(rat_3, rat_4/3) &
% 47.80/7.22    rat_$greatereq(rat_3, rat_1/3) & rat_$greatereq(rat_3, rat_-1) &
% 47.80/7.22    rat_$greatereq(rat_3, rat_-3) & rat_$greatereq(rat_3, rat_1/2) &
% 47.80/7.22    rat_$greatereq(rat_3, rat_2/3) & rat_$greatereq(rat_3, rat_1/6) &
% 47.80/7.22    rat_$greatereq(rat_3, rat_2) & rat_$greatereq(rat_3, rat_-6) &
% 47.80/7.22    rat_$greatereq(rat_3, rat_3/4) & rat_$greatereq(rat_3, rat_3/2) &
% 47.80/7.22    rat_$greatereq(rat_3, rat_-2) & rat_$greatereq(rat_3, rat_1) &
% 47.80/7.22    rat_$greatereq(rat_3, rat_1/4) & rat_$greatereq(rat_3, rat_-4) &
% 47.80/7.22    rat_$greatereq(rat_3, rat_3) & rat_$greatereq(rat_3, rat_0) &
% 47.80/7.22    rat_$greatereq(rat_0, rat_-1) & rat_$greatereq(rat_0, rat_-3) &
% 47.80/7.22    rat_$greatereq(rat_0, rat_-6) & rat_$greatereq(rat_0, rat_-2) &
% 47.80/7.22    rat_$greatereq(rat_0, rat_-4) & rat_$greatereq(rat_0, rat_0) &
% 47.80/7.22    rat_$greater(rat_very_large, rat_4/3) & rat_$greater(rat_very_large, rat_1/3)
% 47.80/7.22    & rat_$greater(rat_very_large, rat_-1) & rat_$greater(rat_very_large, rat_-3)
% 47.80/7.22    & rat_$greater(rat_very_large, rat_1/2) & rat_$greater(rat_very_large, rat_18)
% 47.80/7.22    & rat_$greater(rat_very_large, rat_9) & rat_$greater(rat_very_large, rat_36) &
% 47.80/7.22    rat_$greater(rat_very_large, rat_2/3) & rat_$greater(rat_very_large, rat_1/6)
% 47.80/7.22    & rat_$greater(rat_very_large, rat_2) & rat_$greater(rat_very_large, rat_-6) &
% 47.80/7.22    rat_$greater(rat_very_large, rat_3/4) & rat_$greater(rat_very_large, rat_12) &
% 47.80/7.22    rat_$greater(rat_very_large, rat_7) & rat_$greater(rat_very_large, rat_3/2) &
% 47.80/7.22    rat_$greater(rat_very_large, rat_24) & rat_$greater(rat_very_large, rat_-2) &
% 47.80/7.22    rat_$greater(rat_very_large, rat_10) & rat_$greater(rat_very_large, rat_1) &
% 47.80/7.22    rat_$greater(rat_very_large, rat_1/4) & rat_$greater(rat_very_large, rat_16) &
% 47.80/7.22    rat_$greater(rat_very_large, rat_8) & rat_$greater(rat_very_large, rat_-4) &
% 47.80/7.22    rat_$greater(rat_very_large, rat_6) & rat_$greater(rat_very_large, rat_4) &
% 47.80/7.22    rat_$greater(rat_very_large, rat_3) & rat_$greater(rat_very_large, rat_0) &
% 47.80/7.22    rat_$greater(rat_4/3, rat_very_small) & rat_$greater(rat_4/3, rat_1/3) &
% 47.80/7.22    rat_$greater(rat_4/3, rat_-1) & rat_$greater(rat_4/3, rat_-3) &
% 47.80/7.22    rat_$greater(rat_4/3, rat_1/2) & rat_$greater(rat_4/3, rat_2/3) &
% 47.80/7.22    rat_$greater(rat_4/3, rat_1/6) & rat_$greater(rat_4/3, rat_-6) &
% 47.80/7.22    rat_$greater(rat_4/3, rat_3/4) & rat_$greater(rat_4/3, rat_-2) &
% 47.80/7.22    rat_$greater(rat_4/3, rat_1) & rat_$greater(rat_4/3, rat_1/4) &
% 47.80/7.22    rat_$greater(rat_4/3, rat_-4) & rat_$greater(rat_4/3, rat_0) &
% 47.80/7.22    rat_$greater(rat_1/3, rat_very_small) & rat_$greater(rat_1/3, rat_-1) &
% 47.80/7.22    rat_$greater(rat_1/3, rat_-3) & rat_$greater(rat_1/3, rat_1/6) &
% 47.80/7.22    rat_$greater(rat_1/3, rat_-6) & rat_$greater(rat_1/3, rat_-2) &
% 47.80/7.22    rat_$greater(rat_1/3, rat_1/4) & rat_$greater(rat_1/3, rat_-4) &
% 47.80/7.22    rat_$greater(rat_1/3, rat_0) & rat_$greater(rat_-1, rat_very_small) &
% 47.80/7.22    rat_$greater(rat_-1, rat_-3) & rat_$greater(rat_-1, rat_-6) &
% 47.80/7.22    rat_$greater(rat_-1, rat_-2) & rat_$greater(rat_-1, rat_-4) &
% 47.80/7.22    rat_$greater(rat_-3, rat_very_small) & rat_$greater(rat_-3, rat_-6) &
% 47.80/7.22    rat_$greater(rat_-3, rat_-4) & rat_$greater(rat_1/2, rat_very_small) &
% 47.80/7.22    rat_$greater(rat_1/2, rat_1/3) & rat_$greater(rat_1/2, rat_-1) &
% 47.80/7.22    rat_$greater(rat_1/2, rat_-3) & rat_$greater(rat_1/2, rat_1/6) &
% 47.80/7.22    rat_$greater(rat_1/2, rat_-6) & rat_$greater(rat_1/2, rat_-2) &
% 47.80/7.22    rat_$greater(rat_1/2, rat_1/4) & rat_$greater(rat_1/2, rat_-4) &
% 47.80/7.22    rat_$greater(rat_1/2, rat_0) & rat_$greater(rat_18, rat_very_small) &
% 47.80/7.22    rat_$greater(rat_18, rat_4/3) & rat_$greater(rat_18, rat_1/3) &
% 47.80/7.22    rat_$greater(rat_18, rat_-1) & rat_$greater(rat_18, rat_-3) &
% 47.80/7.22    rat_$greater(rat_18, rat_1/2) & rat_$greater(rat_18, rat_9) &
% 47.80/7.22    rat_$greater(rat_18, rat_2/3) & rat_$greater(rat_18, rat_1/6) &
% 47.80/7.22    rat_$greater(rat_18, rat_2) & rat_$greater(rat_18, rat_-6) &
% 47.80/7.22    rat_$greater(rat_18, rat_3/4) & rat_$greater(rat_18, rat_12) &
% 47.80/7.22    rat_$greater(rat_18, rat_7) & rat_$greater(rat_18, rat_3/2) &
% 47.80/7.22    rat_$greater(rat_18, rat_-2) & rat_$greater(rat_18, rat_10) &
% 47.80/7.22    rat_$greater(rat_18, rat_1) & rat_$greater(rat_18, rat_1/4) &
% 47.80/7.22    rat_$greater(rat_18, rat_16) & rat_$greater(rat_18, rat_8) &
% 47.80/7.22    rat_$greater(rat_18, rat_-4) & rat_$greater(rat_18, rat_6) &
% 47.80/7.22    rat_$greater(rat_18, rat_4) & rat_$greater(rat_18, rat_3) &
% 47.80/7.22    rat_$greater(rat_18, rat_0) & rat_$greater(rat_9, rat_very_small) &
% 47.80/7.22    rat_$greater(rat_9, rat_4/3) & rat_$greater(rat_9, rat_1/3) &
% 47.80/7.22    rat_$greater(rat_9, rat_-1) & rat_$greater(rat_9, rat_-3) &
% 47.80/7.22    rat_$greater(rat_9, rat_1/2) & rat_$greater(rat_9, rat_2/3) &
% 47.80/7.22    rat_$greater(rat_9, rat_1/6) & rat_$greater(rat_9, rat_2) &
% 47.80/7.22    rat_$greater(rat_9, rat_-6) & rat_$greater(rat_9, rat_3/4) &
% 47.80/7.22    rat_$greater(rat_9, rat_7) & rat_$greater(rat_9, rat_3/2) &
% 47.80/7.22    rat_$greater(rat_9, rat_-2) & rat_$greater(rat_9, rat_1) & rat_$greater(rat_9,
% 47.80/7.22      rat_1/4) & rat_$greater(rat_9, rat_8) & rat_$greater(rat_9, rat_-4) &
% 47.80/7.22    rat_$greater(rat_9, rat_6) & rat_$greater(rat_9, rat_4) & rat_$greater(rat_9,
% 47.80/7.22      rat_3) & rat_$greater(rat_9, rat_0) & rat_$greater(rat_36, rat_very_small) &
% 47.80/7.22    rat_$greater(rat_36, rat_4/3) & rat_$greater(rat_36, rat_1/3) &
% 47.80/7.22    rat_$greater(rat_36, rat_-1) & rat_$greater(rat_36, rat_-3) &
% 47.80/7.22    rat_$greater(rat_36, rat_1/2) & rat_$greater(rat_36, rat_18) &
% 47.80/7.22    rat_$greater(rat_36, rat_9) & rat_$greater(rat_36, rat_2/3) &
% 47.80/7.22    rat_$greater(rat_36, rat_1/6) & rat_$greater(rat_36, rat_2) &
% 47.80/7.22    rat_$greater(rat_36, rat_-6) & rat_$greater(rat_36, rat_3/4) &
% 47.80/7.22    rat_$greater(rat_36, rat_12) & rat_$greater(rat_36, rat_7) &
% 47.80/7.22    rat_$greater(rat_36, rat_3/2) & rat_$greater(rat_36, rat_24) &
% 47.80/7.22    rat_$greater(rat_36, rat_-2) & rat_$greater(rat_36, rat_10) &
% 47.80/7.22    rat_$greater(rat_36, rat_1) & rat_$greater(rat_36, rat_1/4) &
% 47.80/7.22    rat_$greater(rat_36, rat_16) & rat_$greater(rat_36, rat_8) &
% 47.80/7.22    rat_$greater(rat_36, rat_-4) & rat_$greater(rat_36, rat_6) &
% 47.80/7.22    rat_$greater(rat_36, rat_4) & rat_$greater(rat_36, rat_3) &
% 47.80/7.22    rat_$greater(rat_36, rat_0) & rat_$greater(rat_2/3, rat_very_small) &
% 47.80/7.22    rat_$greater(rat_2/3, rat_1/3) & rat_$greater(rat_2/3, rat_-1) &
% 47.80/7.22    rat_$greater(rat_2/3, rat_-3) & rat_$greater(rat_2/3, rat_1/2) &
% 47.80/7.22    rat_$greater(rat_2/3, rat_1/6) & rat_$greater(rat_2/3, rat_-6) &
% 47.80/7.22    rat_$greater(rat_2/3, rat_-2) & rat_$greater(rat_2/3, rat_1/4) &
% 47.80/7.22    rat_$greater(rat_2/3, rat_-4) & rat_$greater(rat_2/3, rat_0) &
% 47.80/7.22    rat_$greater(rat_1/6, rat_very_small) & rat_$greater(rat_1/6, rat_-1) &
% 47.80/7.22    rat_$greater(rat_1/6, rat_-3) & rat_$greater(rat_1/6, rat_-6) &
% 47.80/7.22    rat_$greater(rat_1/6, rat_-2) & rat_$greater(rat_1/6, rat_-4) &
% 47.80/7.22    rat_$greater(rat_1/6, rat_0) & rat_$greater(rat_2, rat_very_small) &
% 47.80/7.22    rat_$greater(rat_2, rat_4/3) & rat_$greater(rat_2, rat_1/3) &
% 47.80/7.22    rat_$greater(rat_2, rat_-1) & rat_$greater(rat_2, rat_-3) &
% 47.80/7.22    rat_$greater(rat_2, rat_1/2) & rat_$greater(rat_2, rat_2/3) &
% 47.80/7.22    rat_$greater(rat_2, rat_1/6) & rat_$greater(rat_2, rat_-6) &
% 47.80/7.22    rat_$greater(rat_2, rat_3/4) & rat_$greater(rat_2, rat_3/2) &
% 47.80/7.22    rat_$greater(rat_2, rat_-2) & rat_$greater(rat_2, rat_1) & rat_$greater(rat_2,
% 47.80/7.22      rat_1/4) & rat_$greater(rat_2, rat_-4) & rat_$greater(rat_2, rat_0) &
% 47.80/7.22    rat_$greater(rat_-6, rat_very_small) & rat_$greater(rat_3/4, rat_very_small) &
% 47.80/7.22    rat_$greater(rat_3/4, rat_1/3) & rat_$greater(rat_3/4, rat_-1) &
% 47.80/7.22    rat_$greater(rat_3/4, rat_-3) & rat_$greater(rat_3/4, rat_1/2) &
% 47.80/7.22    rat_$greater(rat_3/4, rat_2/3) & rat_$greater(rat_3/4, rat_1/6) &
% 47.80/7.22    rat_$greater(rat_3/4, rat_-6) & rat_$greater(rat_3/4, rat_-2) &
% 47.80/7.22    rat_$greater(rat_3/4, rat_1/4) & rat_$greater(rat_3/4, rat_-4) &
% 47.80/7.22    rat_$greater(rat_3/4, rat_0) & rat_$greater(rat_12, rat_very_small) &
% 47.80/7.22    rat_$greater(rat_12, rat_4/3) & rat_$greater(rat_12, rat_1/3) &
% 47.80/7.22    rat_$greater(rat_12, rat_-1) & rat_$greater(rat_12, rat_-3) &
% 47.80/7.22    rat_$greater(rat_12, rat_1/2) & rat_$greater(rat_12, rat_9) &
% 47.80/7.22    rat_$greater(rat_12, rat_2/3) & rat_$greater(rat_12, rat_1/6) &
% 47.80/7.22    rat_$greater(rat_12, rat_2) & rat_$greater(rat_12, rat_-6) &
% 47.80/7.22    rat_$greater(rat_12, rat_3/4) & rat_$greater(rat_12, rat_7) &
% 47.80/7.22    rat_$greater(rat_12, rat_3/2) & rat_$greater(rat_12, rat_-2) &
% 47.80/7.22    rat_$greater(rat_12, rat_10) & rat_$greater(rat_12, rat_1) &
% 47.80/7.22    rat_$greater(rat_12, rat_1/4) & rat_$greater(rat_12, rat_8) &
% 47.80/7.22    rat_$greater(rat_12, rat_-4) & rat_$greater(rat_12, rat_6) &
% 47.80/7.22    rat_$greater(rat_12, rat_4) & rat_$greater(rat_12, rat_3) &
% 47.80/7.22    rat_$greater(rat_12, rat_0) & rat_$greater(rat_7, rat_very_small) &
% 47.80/7.22    rat_$greater(rat_7, rat_4/3) & rat_$greater(rat_7, rat_1/3) &
% 47.80/7.22    rat_$greater(rat_7, rat_-1) & rat_$greater(rat_7, rat_-3) &
% 47.80/7.22    rat_$greater(rat_7, rat_1/2) & rat_$greater(rat_7, rat_2/3) &
% 47.80/7.22    rat_$greater(rat_7, rat_1/6) & rat_$greater(rat_7, rat_2) &
% 47.80/7.22    rat_$greater(rat_7, rat_-6) & rat_$greater(rat_7, rat_3/4) &
% 47.80/7.22    rat_$greater(rat_7, rat_3/2) & rat_$greater(rat_7, rat_-2) &
% 47.80/7.22    rat_$greater(rat_7, rat_1) & rat_$greater(rat_7, rat_1/4) &
% 47.80/7.22    rat_$greater(rat_7, rat_-4) & rat_$greater(rat_7, rat_6) & rat_$greater(rat_7,
% 47.80/7.22      rat_4) & rat_$greater(rat_7, rat_3) & rat_$greater(rat_7, rat_0) &
% 47.80/7.22    rat_$greater(rat_3/2, rat_very_small) & rat_$greater(rat_3/2, rat_4/3) &
% 47.80/7.22    rat_$greater(rat_3/2, rat_1/3) & rat_$greater(rat_3/2, rat_-1) &
% 47.80/7.22    rat_$greater(rat_3/2, rat_-3) & rat_$greater(rat_3/2, rat_1/2) &
% 47.80/7.22    rat_$greater(rat_3/2, rat_2/3) & rat_$greater(rat_3/2, rat_1/6) &
% 47.80/7.22    rat_$greater(rat_3/2, rat_-6) & rat_$greater(rat_3/2, rat_3/4) &
% 47.80/7.22    rat_$greater(rat_3/2, rat_-2) & rat_$greater(rat_3/2, rat_1) &
% 47.80/7.22    rat_$greater(rat_3/2, rat_1/4) & rat_$greater(rat_3/2, rat_-4) &
% 47.80/7.22    rat_$greater(rat_3/2, rat_0) & rat_$greater(rat_24, rat_very_small) &
% 47.80/7.22    rat_$greater(rat_24, rat_4/3) & rat_$greater(rat_24, rat_1/3) &
% 47.80/7.22    rat_$greater(rat_24, rat_-1) & rat_$greater(rat_24, rat_-3) &
% 47.80/7.22    rat_$greater(rat_24, rat_1/2) & rat_$greater(rat_24, rat_18) &
% 47.80/7.22    rat_$greater(rat_24, rat_9) & rat_$greater(rat_24, rat_2/3) &
% 47.80/7.22    rat_$greater(rat_24, rat_1/6) & rat_$greater(rat_24, rat_2) &
% 47.80/7.22    rat_$greater(rat_24, rat_-6) & rat_$greater(rat_24, rat_3/4) &
% 47.80/7.22    rat_$greater(rat_24, rat_12) & rat_$greater(rat_24, rat_7) &
% 47.80/7.22    rat_$greater(rat_24, rat_3/2) & rat_$greater(rat_24, rat_-2) &
% 47.80/7.22    rat_$greater(rat_24, rat_10) & rat_$greater(rat_24, rat_1) &
% 47.80/7.22    rat_$greater(rat_24, rat_1/4) & rat_$greater(rat_24, rat_16) &
% 47.80/7.22    rat_$greater(rat_24, rat_8) & rat_$greater(rat_24, rat_-4) &
% 47.80/7.22    rat_$greater(rat_24, rat_6) & rat_$greater(rat_24, rat_4) &
% 47.80/7.22    rat_$greater(rat_24, rat_3) & rat_$greater(rat_24, rat_0) &
% 47.80/7.22    rat_$greater(rat_-2, rat_very_small) & rat_$greater(rat_-2, rat_-3) &
% 47.80/7.22    rat_$greater(rat_-2, rat_-6) & rat_$greater(rat_-2, rat_-4) &
% 47.80/7.22    rat_$greater(rat_10, rat_very_small) & rat_$greater(rat_10, rat_4/3) &
% 47.80/7.22    rat_$greater(rat_10, rat_1/3) & rat_$greater(rat_10, rat_-1) &
% 47.80/7.22    rat_$greater(rat_10, rat_-3) & rat_$greater(rat_10, rat_1/2) &
% 47.80/7.22    rat_$greater(rat_10, rat_9) & rat_$greater(rat_10, rat_2/3) &
% 47.80/7.22    rat_$greater(rat_10, rat_1/6) & rat_$greater(rat_10, rat_2) &
% 47.80/7.22    rat_$greater(rat_10, rat_-6) & rat_$greater(rat_10, rat_3/4) &
% 47.80/7.22    rat_$greater(rat_10, rat_7) & rat_$greater(rat_10, rat_3/2) &
% 47.80/7.22    rat_$greater(rat_10, rat_-2) & rat_$greater(rat_10, rat_1) &
% 47.80/7.22    rat_$greater(rat_10, rat_1/4) & rat_$greater(rat_10, rat_8) &
% 47.80/7.22    rat_$greater(rat_10, rat_-4) & rat_$greater(rat_10, rat_6) &
% 47.80/7.22    rat_$greater(rat_10, rat_4) & rat_$greater(rat_10, rat_3) &
% 47.80/7.22    rat_$greater(rat_10, rat_0) & rat_$greater(rat_1, rat_very_small) &
% 47.80/7.22    rat_$greater(rat_1, rat_1/3) & rat_$greater(rat_1, rat_-1) &
% 47.80/7.22    rat_$greater(rat_1, rat_-3) & rat_$greater(rat_1, rat_1/2) &
% 47.80/7.22    rat_$greater(rat_1, rat_2/3) & rat_$greater(rat_1, rat_1/6) &
% 47.80/7.22    rat_$greater(rat_1, rat_-6) & rat_$greater(rat_1, rat_3/4) &
% 47.80/7.22    rat_$greater(rat_1, rat_-2) & rat_$greater(rat_1, rat_1/4) &
% 47.80/7.22    rat_$greater(rat_1, rat_-4) & rat_$greater(rat_1, rat_0) &
% 47.80/7.22    rat_$greater(rat_1/4, rat_very_small) & rat_$greater(rat_1/4, rat_-1) &
% 47.80/7.22    rat_$greater(rat_1/4, rat_-3) & rat_$greater(rat_1/4, rat_1/6) &
% 47.80/7.22    rat_$greater(rat_1/4, rat_-6) & rat_$greater(rat_1/4, rat_-2) &
% 47.80/7.22    rat_$greater(rat_1/4, rat_-4) & rat_$greater(rat_1/4, rat_0) &
% 47.80/7.22    rat_$greater(rat_16, rat_very_small) & rat_$greater(rat_16, rat_4/3) &
% 47.80/7.22    rat_$greater(rat_16, rat_1/3) & rat_$greater(rat_16, rat_-1) &
% 47.80/7.22    rat_$greater(rat_16, rat_-3) & rat_$greater(rat_16, rat_1/2) &
% 47.80/7.22    rat_$greater(rat_16, rat_9) & rat_$greater(rat_16, rat_2/3) &
% 47.80/7.22    rat_$greater(rat_16, rat_1/6) & rat_$greater(rat_16, rat_2) &
% 47.80/7.22    rat_$greater(rat_16, rat_-6) & rat_$greater(rat_16, rat_3/4) &
% 47.80/7.22    rat_$greater(rat_16, rat_12) & rat_$greater(rat_16, rat_7) &
% 47.80/7.22    rat_$greater(rat_16, rat_3/2) & rat_$greater(rat_16, rat_-2) &
% 47.80/7.22    rat_$greater(rat_16, rat_10) & rat_$greater(rat_16, rat_1) &
% 47.80/7.22    rat_$greater(rat_16, rat_1/4) & rat_$greater(rat_16, rat_8) &
% 47.80/7.22    rat_$greater(rat_16, rat_-4) & rat_$greater(rat_16, rat_6) &
% 47.80/7.22    rat_$greater(rat_16, rat_4) & rat_$greater(rat_16, rat_3) &
% 47.80/7.22    rat_$greater(rat_16, rat_0) & rat_$greater(rat_8, rat_very_small) &
% 47.80/7.22    rat_$greater(rat_8, rat_4/3) & rat_$greater(rat_8, rat_1/3) &
% 47.80/7.22    rat_$greater(rat_8, rat_-1) & rat_$greater(rat_8, rat_-3) &
% 47.80/7.22    rat_$greater(rat_8, rat_1/2) & rat_$greater(rat_8, rat_2/3) &
% 47.80/7.22    rat_$greater(rat_8, rat_1/6) & rat_$greater(rat_8, rat_2) &
% 47.80/7.22    rat_$greater(rat_8, rat_-6) & rat_$greater(rat_8, rat_3/4) &
% 47.80/7.22    rat_$greater(rat_8, rat_7) & rat_$greater(rat_8, rat_3/2) &
% 47.80/7.22    rat_$greater(rat_8, rat_-2) & rat_$greater(rat_8, rat_1) & rat_$greater(rat_8,
% 47.80/7.22      rat_1/4) & rat_$greater(rat_8, rat_-4) & rat_$greater(rat_8, rat_6) &
% 47.80/7.22    rat_$greater(rat_8, rat_4) & rat_$greater(rat_8, rat_3) & rat_$greater(rat_8,
% 47.80/7.22      rat_0) & rat_$greater(rat_-4, rat_very_small) & rat_$greater(rat_-4, rat_-6)
% 47.80/7.22    & rat_$greater(rat_6, rat_very_small) & rat_$greater(rat_6, rat_4/3) &
% 47.80/7.22    rat_$greater(rat_6, rat_1/3) & rat_$greater(rat_6, rat_-1) &
% 47.80/7.22    rat_$greater(rat_6, rat_-3) & rat_$greater(rat_6, rat_1/2) &
% 47.80/7.22    rat_$greater(rat_6, rat_2/3) & rat_$greater(rat_6, rat_1/6) &
% 47.80/7.22    rat_$greater(rat_6, rat_2) & rat_$greater(rat_6, rat_-6) & rat_$greater(rat_6,
% 47.80/7.22      rat_3/4) & rat_$greater(rat_6, rat_3/2) & rat_$greater(rat_6, rat_-2) &
% 47.80/7.22    rat_$greater(rat_6, rat_1) & rat_$greater(rat_6, rat_1/4) &
% 47.80/7.22    rat_$greater(rat_6, rat_-4) & rat_$greater(rat_6, rat_4) & rat_$greater(rat_6,
% 47.80/7.22      rat_3) & rat_$greater(rat_6, rat_0) & rat_$greater(rat_4, rat_very_small) &
% 47.80/7.22    rat_$greater(rat_4, rat_4/3) & rat_$greater(rat_4, rat_1/3) &
% 47.80/7.22    rat_$greater(rat_4, rat_-1) & rat_$greater(rat_4, rat_-3) &
% 47.80/7.22    rat_$greater(rat_4, rat_1/2) & rat_$greater(rat_4, rat_2/3) &
% 47.80/7.22    rat_$greater(rat_4, rat_1/6) & rat_$greater(rat_4, rat_2) &
% 47.80/7.22    rat_$greater(rat_4, rat_-6) & rat_$greater(rat_4, rat_3/4) &
% 47.80/7.22    rat_$greater(rat_4, rat_3/2) & rat_$greater(rat_4, rat_-2) &
% 47.80/7.22    rat_$greater(rat_4, rat_1) & rat_$greater(rat_4, rat_1/4) &
% 47.80/7.22    rat_$greater(rat_4, rat_-4) & rat_$greater(rat_4, rat_3) & rat_$greater(rat_4,
% 47.80/7.22      rat_0) & rat_$greater(rat_3, rat_very_small) & rat_$greater(rat_3, rat_4/3)
% 47.80/7.22    & rat_$greater(rat_3, rat_1/3) & rat_$greater(rat_3, rat_-1) &
% 47.80/7.22    rat_$greater(rat_3, rat_-3) & rat_$greater(rat_3, rat_1/2) &
% 47.80/7.22    rat_$greater(rat_3, rat_2/3) & rat_$greater(rat_3, rat_1/6) &
% 47.80/7.22    rat_$greater(rat_3, rat_2) & rat_$greater(rat_3, rat_-6) & rat_$greater(rat_3,
% 47.80/7.22      rat_3/4) & rat_$greater(rat_3, rat_3/2) & rat_$greater(rat_3, rat_-2) &
% 47.80/7.22    rat_$greater(rat_3, rat_1) & rat_$greater(rat_3, rat_1/4) &
% 47.80/7.22    rat_$greater(rat_3, rat_-4) & rat_$greater(rat_3, rat_0) & rat_$greater(rat_0,
% 47.80/7.22      rat_very_small) & rat_$greater(rat_0, rat_-1) & rat_$greater(rat_0, rat_-3)
% 47.80/7.22    & rat_$greater(rat_0, rat_-6) & rat_$greater(rat_0, rat_-2) &
% 47.80/7.22    rat_$greater(rat_0, rat_-4) & rat_$lesseq(rat_very_small, rat_very_large) &
% 47.80/7.22    rat_$lesseq(rat_4/3, rat_4/3) & rat_$lesseq(rat_4/3, rat_18) &
% 47.80/7.22    rat_$lesseq(rat_4/3, rat_9) & rat_$lesseq(rat_4/3, rat_36) &
% 47.80/7.22    rat_$lesseq(rat_4/3, rat_2) & rat_$lesseq(rat_4/3, rat_12) &
% 47.80/7.22    rat_$lesseq(rat_4/3, rat_7) & rat_$lesseq(rat_4/3, rat_3/2) &
% 47.80/7.22    rat_$lesseq(rat_4/3, rat_24) & rat_$lesseq(rat_4/3, rat_10) &
% 47.80/7.22    rat_$lesseq(rat_4/3, rat_16) & rat_$lesseq(rat_4/3, rat_8) &
% 47.80/7.22    rat_$lesseq(rat_4/3, rat_6) & rat_$lesseq(rat_4/3, rat_4) &
% 47.80/7.22    rat_$lesseq(rat_4/3, rat_3) & rat_$lesseq(rat_1/3, rat_4/3) &
% 47.80/7.22    rat_$lesseq(rat_1/3, rat_1/3) & rat_$lesseq(rat_1/3, rat_1/2) &
% 47.80/7.22    rat_$lesseq(rat_1/3, rat_18) & rat_$lesseq(rat_1/3, rat_9) &
% 47.80/7.22    rat_$lesseq(rat_1/3, rat_36) & rat_$lesseq(rat_1/3, rat_2/3) &
% 47.80/7.22    rat_$lesseq(rat_1/3, rat_2) & rat_$lesseq(rat_1/3, rat_3/4) &
% 47.80/7.22    rat_$lesseq(rat_1/3, rat_12) & rat_$lesseq(rat_1/3, rat_7) &
% 47.80/7.22    rat_$lesseq(rat_1/3, rat_3/2) & rat_$lesseq(rat_1/3, rat_24) &
% 47.80/7.22    rat_$lesseq(rat_1/3, rat_10) & rat_$lesseq(rat_1/3, rat_1) &
% 47.80/7.22    rat_$lesseq(rat_1/3, rat_16) & rat_$lesseq(rat_1/3, rat_8) &
% 47.80/7.22    rat_$lesseq(rat_1/3, rat_6) & rat_$lesseq(rat_1/3, rat_4) &
% 47.80/7.22    rat_$lesseq(rat_1/3, rat_3) & rat_$lesseq(rat_-1, rat_4/3) &
% 47.80/7.22    rat_$lesseq(rat_-1, rat_1/3) & rat_$lesseq(rat_-1, rat_-1) &
% 47.80/7.22    rat_$lesseq(rat_-1, rat_1/2) & rat_$lesseq(rat_-1, rat_18) &
% 47.80/7.22    rat_$lesseq(rat_-1, rat_9) & rat_$lesseq(rat_-1, rat_36) & rat_$lesseq(rat_-1,
% 47.80/7.22      rat_2/3) & rat_$lesseq(rat_-1, rat_1/6) & rat_$lesseq(rat_-1, rat_2) &
% 47.80/7.22    rat_$lesseq(rat_-1, rat_3/4) & rat_$lesseq(rat_-1, rat_12) &
% 47.80/7.22    rat_$lesseq(rat_-1, rat_7) & rat_$lesseq(rat_-1, rat_3/2) &
% 47.80/7.22    rat_$lesseq(rat_-1, rat_24) & rat_$lesseq(rat_-1, rat_10) &
% 47.80/7.22    rat_$lesseq(rat_-1, rat_1) & rat_$lesseq(rat_-1, rat_1/4) &
% 47.80/7.22    rat_$lesseq(rat_-1, rat_16) & rat_$lesseq(rat_-1, rat_8) & rat_$lesseq(rat_-1,
% 47.80/7.22      rat_6) & rat_$lesseq(rat_-1, rat_4) & rat_$lesseq(rat_-1, rat_3) &
% 47.80/7.22    rat_$lesseq(rat_-1, rat_0) & rat_$lesseq(rat_-3, rat_4/3) &
% 47.80/7.22    rat_$lesseq(rat_-3, rat_1/3) & rat_$lesseq(rat_-3, rat_-1) &
% 47.80/7.22    rat_$lesseq(rat_-3, rat_-3) & rat_$lesseq(rat_-3, rat_1/2) &
% 47.80/7.22    rat_$lesseq(rat_-3, rat_18) & rat_$lesseq(rat_-3, rat_9) & rat_$lesseq(rat_-3,
% 47.80/7.22      rat_36) & rat_$lesseq(rat_-3, rat_2/3) & rat_$lesseq(rat_-3, rat_1/6) &
% 47.80/7.22    rat_$lesseq(rat_-3, rat_2) & rat_$lesseq(rat_-3, rat_3/4) &
% 47.80/7.22    rat_$lesseq(rat_-3, rat_12) & rat_$lesseq(rat_-3, rat_7) & rat_$lesseq(rat_-3,
% 47.80/7.22      rat_3/2) & rat_$lesseq(rat_-3, rat_24) & rat_$lesseq(rat_-3, rat_-2) &
% 47.80/7.22    rat_$lesseq(rat_-3, rat_10) & rat_$lesseq(rat_-3, rat_1) & rat_$lesseq(rat_-3,
% 47.80/7.22      rat_1/4) & rat_$lesseq(rat_-3, rat_16) & rat_$lesseq(rat_-3, rat_8) &
% 47.80/7.22    rat_$lesseq(rat_-3, rat_6) & rat_$lesseq(rat_-3, rat_4) & rat_$lesseq(rat_-3,
% 47.80/7.22      rat_3) & rat_$lesseq(rat_-3, rat_0) & rat_$lesseq(rat_1/2, rat_4/3) &
% 47.80/7.22    rat_$lesseq(rat_1/2, rat_1/2) & rat_$lesseq(rat_1/2, rat_18) &
% 47.80/7.22    rat_$lesseq(rat_1/2, rat_9) & rat_$lesseq(rat_1/2, rat_36) &
% 47.80/7.22    rat_$lesseq(rat_1/2, rat_2/3) & rat_$lesseq(rat_1/2, rat_2) &
% 47.80/7.22    rat_$lesseq(rat_1/2, rat_3/4) & rat_$lesseq(rat_1/2, rat_12) &
% 47.80/7.22    rat_$lesseq(rat_1/2, rat_7) & rat_$lesseq(rat_1/2, rat_3/2) &
% 47.80/7.22    rat_$lesseq(rat_1/2, rat_24) & rat_$lesseq(rat_1/2, rat_10) &
% 47.80/7.22    rat_$lesseq(rat_1/2, rat_1) & rat_$lesseq(rat_1/2, rat_16) &
% 47.80/7.22    rat_$lesseq(rat_1/2, rat_8) & rat_$lesseq(rat_1/2, rat_6) &
% 47.80/7.22    rat_$lesseq(rat_1/2, rat_4) & rat_$lesseq(rat_1/2, rat_3) &
% 47.80/7.22    rat_$lesseq(rat_18, rat_18) & rat_$lesseq(rat_18, rat_36) &
% 47.80/7.22    rat_$lesseq(rat_18, rat_24) & rat_$lesseq(rat_9, rat_18) & rat_$lesseq(rat_9,
% 47.80/7.22      rat_9) & rat_$lesseq(rat_9, rat_36) & rat_$lesseq(rat_9, rat_12) &
% 47.80/7.22    rat_$lesseq(rat_9, rat_24) & rat_$lesseq(rat_9, rat_10) & rat_$lesseq(rat_9,
% 47.80/7.22      rat_16) & rat_$lesseq(rat_36, rat_36) & rat_$lesseq(rat_2/3, rat_4/3) &
% 47.80/7.22    rat_$lesseq(rat_2/3, rat_18) & rat_$lesseq(rat_2/3, rat_9) &
% 47.80/7.22    rat_$lesseq(rat_2/3, rat_36) & rat_$lesseq(rat_2/3, rat_2/3) &
% 47.80/7.22    rat_$lesseq(rat_2/3, rat_2) & rat_$lesseq(rat_2/3, rat_3/4) &
% 47.80/7.22    rat_$lesseq(rat_2/3, rat_12) & rat_$lesseq(rat_2/3, rat_7) &
% 47.80/7.22    rat_$lesseq(rat_2/3, rat_3/2) & rat_$lesseq(rat_2/3, rat_24) &
% 47.80/7.22    rat_$lesseq(rat_2/3, rat_10) & rat_$lesseq(rat_2/3, rat_1) &
% 47.80/7.22    rat_$lesseq(rat_2/3, rat_16) & rat_$lesseq(rat_2/3, rat_8) &
% 47.80/7.22    rat_$lesseq(rat_2/3, rat_6) & rat_$lesseq(rat_2/3, rat_4) &
% 47.80/7.22    rat_$lesseq(rat_2/3, rat_3) & rat_$lesseq(rat_1/6, rat_4/3) &
% 47.80/7.22    rat_$lesseq(rat_1/6, rat_1/3) & rat_$lesseq(rat_1/6, rat_1/2) &
% 47.80/7.22    rat_$lesseq(rat_1/6, rat_18) & rat_$lesseq(rat_1/6, rat_9) &
% 47.80/7.22    rat_$lesseq(rat_1/6, rat_36) & rat_$lesseq(rat_1/6, rat_2/3) &
% 47.80/7.22    rat_$lesseq(rat_1/6, rat_1/6) & rat_$lesseq(rat_1/6, rat_2) &
% 47.80/7.22    rat_$lesseq(rat_1/6, rat_3/4) & rat_$lesseq(rat_1/6, rat_12) &
% 47.80/7.22    rat_$lesseq(rat_1/6, rat_7) & rat_$lesseq(rat_1/6, rat_3/2) &
% 47.80/7.22    rat_$lesseq(rat_1/6, rat_24) & rat_$lesseq(rat_1/6, rat_10) &
% 47.80/7.22    rat_$lesseq(rat_1/6, rat_1) & rat_$lesseq(rat_1/6, rat_1/4) &
% 47.80/7.22    rat_$lesseq(rat_1/6, rat_16) & rat_$lesseq(rat_1/6, rat_8) &
% 47.80/7.22    rat_$lesseq(rat_1/6, rat_6) & rat_$lesseq(rat_1/6, rat_4) &
% 47.80/7.22    rat_$lesseq(rat_1/6, rat_3) & rat_$lesseq(rat_2, rat_18) & rat_$lesseq(rat_2,
% 47.80/7.22      rat_9) & rat_$lesseq(rat_2, rat_36) & rat_$lesseq(rat_2, rat_2) &
% 47.80/7.22    rat_$lesseq(rat_2, rat_12) & rat_$lesseq(rat_2, rat_7) & rat_$lesseq(rat_2,
% 47.80/7.22      rat_24) & rat_$lesseq(rat_2, rat_10) & rat_$lesseq(rat_2, rat_16) &
% 47.80/7.22    rat_$lesseq(rat_2, rat_8) & rat_$lesseq(rat_2, rat_6) & rat_$lesseq(rat_2,
% 47.80/7.22      rat_4) & rat_$lesseq(rat_2, rat_3) & rat_$lesseq(rat_-6, rat_4/3) &
% 47.80/7.22    rat_$lesseq(rat_-6, rat_1/3) & rat_$lesseq(rat_-6, rat_-1) &
% 47.80/7.22    rat_$lesseq(rat_-6, rat_-3) & rat_$lesseq(rat_-6, rat_1/2) &
% 47.80/7.22    rat_$lesseq(rat_-6, rat_18) & rat_$lesseq(rat_-6, rat_9) & rat_$lesseq(rat_-6,
% 47.80/7.22      rat_36) & rat_$lesseq(rat_-6, rat_2/3) & rat_$lesseq(rat_-6, rat_1/6) &
% 47.80/7.22    rat_$lesseq(rat_-6, rat_2) & rat_$lesseq(rat_-6, rat_-6) & rat_$lesseq(rat_-6,
% 47.80/7.22      rat_3/4) & rat_$lesseq(rat_-6, rat_12) & rat_$lesseq(rat_-6, rat_7) &
% 47.80/7.22    rat_$lesseq(rat_-6, rat_3/2) & rat_$lesseq(rat_-6, rat_24) &
% 47.80/7.22    rat_$lesseq(rat_-6, rat_-2) & rat_$lesseq(rat_-6, rat_10) &
% 47.80/7.22    rat_$lesseq(rat_-6, rat_1) & rat_$lesseq(rat_-6, rat_1/4) &
% 47.80/7.22    rat_$lesseq(rat_-6, rat_16) & rat_$lesseq(rat_-6, rat_8) & rat_$lesseq(rat_-6,
% 47.80/7.22      rat_-4) & rat_$lesseq(rat_-6, rat_6) & rat_$lesseq(rat_-6, rat_4) &
% 47.80/7.22    rat_$lesseq(rat_-6, rat_3) & rat_$lesseq(rat_-6, rat_0) & rat_$lesseq(rat_3/4,
% 47.80/7.22      rat_4/3) & rat_$lesseq(rat_3/4, rat_18) & rat_$lesseq(rat_3/4, rat_9) &
% 47.80/7.22    rat_$lesseq(rat_3/4, rat_36) & rat_$lesseq(rat_3/4, rat_2) &
% 47.80/7.22    rat_$lesseq(rat_3/4, rat_3/4) & rat_$lesseq(rat_3/4, rat_12) &
% 47.80/7.22    rat_$lesseq(rat_3/4, rat_7) & rat_$lesseq(rat_3/4, rat_3/2) &
% 47.80/7.22    rat_$lesseq(rat_3/4, rat_24) & rat_$lesseq(rat_3/4, rat_10) &
% 47.80/7.22    rat_$lesseq(rat_3/4, rat_1) & rat_$lesseq(rat_3/4, rat_16) &
% 47.80/7.22    rat_$lesseq(rat_3/4, rat_8) & rat_$lesseq(rat_3/4, rat_6) &
% 47.80/7.22    rat_$lesseq(rat_3/4, rat_4) & rat_$lesseq(rat_3/4, rat_3) &
% 47.80/7.22    rat_$lesseq(rat_12, rat_18) & rat_$lesseq(rat_12, rat_36) &
% 47.80/7.22    rat_$lesseq(rat_12, rat_12) & rat_$lesseq(rat_12, rat_24) &
% 47.80/7.22    rat_$lesseq(rat_12, rat_16) & rat_$lesseq(rat_7, rat_18) & rat_$lesseq(rat_7,
% 47.80/7.22      rat_9) & rat_$lesseq(rat_7, rat_36) & rat_$lesseq(rat_7, rat_12) &
% 47.80/7.22    rat_$lesseq(rat_7, rat_7) & rat_$lesseq(rat_7, rat_24) & rat_$lesseq(rat_7,
% 47.80/7.22      rat_10) & rat_$lesseq(rat_7, rat_16) & rat_$lesseq(rat_7, rat_8) &
% 47.80/7.22    rat_$lesseq(rat_3/2, rat_18) & rat_$lesseq(rat_3/2, rat_9) &
% 47.80/7.22    rat_$lesseq(rat_3/2, rat_36) & rat_$lesseq(rat_3/2, rat_2) &
% 47.80/7.22    rat_$lesseq(rat_3/2, rat_12) & rat_$lesseq(rat_3/2, rat_7) &
% 47.80/7.22    rat_$lesseq(rat_3/2, rat_3/2) & rat_$lesseq(rat_3/2, rat_24) &
% 47.80/7.22    rat_$lesseq(rat_3/2, rat_10) & rat_$lesseq(rat_3/2, rat_16) &
% 47.80/7.22    rat_$lesseq(rat_3/2, rat_8) & rat_$lesseq(rat_3/2, rat_6) &
% 47.80/7.22    rat_$lesseq(rat_3/2, rat_4) & rat_$lesseq(rat_3/2, rat_3) &
% 47.80/7.22    rat_$lesseq(rat_24, rat_36) & rat_$lesseq(rat_24, rat_24) &
% 47.80/7.22    rat_$lesseq(rat_-2, rat_4/3) & rat_$lesseq(rat_-2, rat_1/3) &
% 47.80/7.22    rat_$lesseq(rat_-2, rat_-1) & rat_$lesseq(rat_-2, rat_1/2) &
% 47.80/7.22    rat_$lesseq(rat_-2, rat_18) & rat_$lesseq(rat_-2, rat_9) & rat_$lesseq(rat_-2,
% 47.80/7.22      rat_36) & rat_$lesseq(rat_-2, rat_2/3) & rat_$lesseq(rat_-2, rat_1/6) &
% 47.80/7.22    rat_$lesseq(rat_-2, rat_2) & rat_$lesseq(rat_-2, rat_3/4) &
% 47.80/7.22    rat_$lesseq(rat_-2, rat_12) & rat_$lesseq(rat_-2, rat_7) & rat_$lesseq(rat_-2,
% 47.80/7.22      rat_3/2) & rat_$lesseq(rat_-2, rat_24) & rat_$lesseq(rat_-2, rat_-2) &
% 47.80/7.22    rat_$lesseq(rat_-2, rat_10) & rat_$lesseq(rat_-2, rat_1) & rat_$lesseq(rat_-2,
% 47.80/7.22      rat_1/4) & rat_$lesseq(rat_-2, rat_16) & rat_$lesseq(rat_-2, rat_8) &
% 47.80/7.22    rat_$lesseq(rat_-2, rat_6) & rat_$lesseq(rat_-2, rat_4) & rat_$lesseq(rat_-2,
% 47.80/7.22      rat_3) & rat_$lesseq(rat_-2, rat_0) & rat_$lesseq(rat_10, rat_18) &
% 47.80/7.22    rat_$lesseq(rat_10, rat_36) & rat_$lesseq(rat_10, rat_12) &
% 47.80/7.22    rat_$lesseq(rat_10, rat_24) & rat_$lesseq(rat_10, rat_10) &
% 47.80/7.22    rat_$lesseq(rat_10, rat_16) & rat_$lesseq(rat_1, rat_4/3) & rat_$lesseq(rat_1,
% 47.80/7.22      rat_18) & rat_$lesseq(rat_1, rat_9) & rat_$lesseq(rat_1, rat_36) &
% 47.80/7.22    rat_$lesseq(rat_1, rat_2) & rat_$lesseq(rat_1, rat_12) & rat_$lesseq(rat_1,
% 47.80/7.22      rat_7) & rat_$lesseq(rat_1, rat_3/2) & rat_$lesseq(rat_1, rat_24) &
% 47.80/7.22    rat_$lesseq(rat_1, rat_10) & rat_$lesseq(rat_1, rat_1) & rat_$lesseq(rat_1,
% 47.80/7.22      rat_16) & rat_$lesseq(rat_1, rat_8) & rat_$lesseq(rat_1, rat_6) &
% 47.80/7.22    rat_$lesseq(rat_1, rat_4) & rat_$lesseq(rat_1, rat_3) & rat_$lesseq(rat_1/4,
% 47.80/7.22      rat_4/3) & rat_$lesseq(rat_1/4, rat_1/3) & rat_$lesseq(rat_1/4, rat_1/2) &
% 47.80/7.22    rat_$lesseq(rat_1/4, rat_18) & rat_$lesseq(rat_1/4, rat_9) &
% 47.80/7.22    rat_$lesseq(rat_1/4, rat_36) & rat_$lesseq(rat_1/4, rat_2/3) &
% 47.80/7.22    rat_$lesseq(rat_1/4, rat_2) & rat_$lesseq(rat_1/4, rat_3/4) &
% 47.80/7.22    rat_$lesseq(rat_1/4, rat_12) & rat_$lesseq(rat_1/4, rat_7) &
% 47.80/7.22    rat_$lesseq(rat_1/4, rat_3/2) & rat_$lesseq(rat_1/4, rat_24) &
% 47.80/7.22    rat_$lesseq(rat_1/4, rat_10) & rat_$lesseq(rat_1/4, rat_1) &
% 47.80/7.22    rat_$lesseq(rat_1/4, rat_1/4) & rat_$lesseq(rat_1/4, rat_16) &
% 47.80/7.22    rat_$lesseq(rat_1/4, rat_8) & rat_$lesseq(rat_1/4, rat_6) &
% 47.80/7.22    rat_$lesseq(rat_1/4, rat_4) & rat_$lesseq(rat_1/4, rat_3) &
% 47.80/7.22    rat_$lesseq(rat_16, rat_18) & rat_$lesseq(rat_16, rat_36) &
% 47.80/7.22    rat_$lesseq(rat_16, rat_24) & rat_$lesseq(rat_16, rat_16) & rat_$lesseq(rat_8,
% 47.80/7.22      rat_18) & rat_$lesseq(rat_8, rat_9) & rat_$lesseq(rat_8, rat_36) &
% 47.80/7.22    rat_$lesseq(rat_8, rat_12) & rat_$lesseq(rat_8, rat_24) & rat_$lesseq(rat_8,
% 47.80/7.22      rat_10) & rat_$lesseq(rat_8, rat_16) & rat_$lesseq(rat_8, rat_8) &
% 47.80/7.22    rat_$lesseq(rat_-4, rat_4/3) & rat_$lesseq(rat_-4, rat_1/3) &
% 47.80/7.22    rat_$lesseq(rat_-4, rat_-1) & rat_$lesseq(rat_-4, rat_-3) &
% 47.80/7.22    rat_$lesseq(rat_-4, rat_1/2) & rat_$lesseq(rat_-4, rat_18) &
% 47.80/7.22    rat_$lesseq(rat_-4, rat_9) & rat_$lesseq(rat_-4, rat_36) & rat_$lesseq(rat_-4,
% 47.80/7.22      rat_2/3) & rat_$lesseq(rat_-4, rat_1/6) & rat_$lesseq(rat_-4, rat_2) &
% 47.80/7.22    rat_$lesseq(rat_-4, rat_3/4) & rat_$lesseq(rat_-4, rat_12) &
% 47.80/7.22    rat_$lesseq(rat_-4, rat_7) & rat_$lesseq(rat_-4, rat_3/2) &
% 47.80/7.22    rat_$lesseq(rat_-4, rat_24) & rat_$lesseq(rat_-4, rat_-2) &
% 47.80/7.22    rat_$lesseq(rat_-4, rat_10) & rat_$lesseq(rat_-4, rat_1) & rat_$lesseq(rat_-4,
% 47.80/7.22      rat_1/4) & rat_$lesseq(rat_-4, rat_16) & rat_$lesseq(rat_-4, rat_8) &
% 47.80/7.22    rat_$lesseq(rat_-4, rat_-4) & rat_$lesseq(rat_-4, rat_6) & rat_$lesseq(rat_-4,
% 47.80/7.22      rat_4) & rat_$lesseq(rat_-4, rat_3) & rat_$lesseq(rat_-4, rat_0) &
% 47.80/7.22    rat_$lesseq(rat_6, rat_18) & rat_$lesseq(rat_6, rat_9) & rat_$lesseq(rat_6,
% 47.80/7.22      rat_36) & rat_$lesseq(rat_6, rat_12) & rat_$lesseq(rat_6, rat_7) &
% 47.80/7.22    rat_$lesseq(rat_6, rat_24) & rat_$lesseq(rat_6, rat_10) & rat_$lesseq(rat_6,
% 47.80/7.22      rat_16) & rat_$lesseq(rat_6, rat_8) & rat_$lesseq(rat_6, rat_6) &
% 47.80/7.22    rat_$lesseq(rat_4, rat_18) & rat_$lesseq(rat_4, rat_9) & rat_$lesseq(rat_4,
% 47.80/7.22      rat_36) & rat_$lesseq(rat_4, rat_12) & rat_$lesseq(rat_4, rat_7) &
% 47.80/7.22    rat_$lesseq(rat_4, rat_24) & rat_$lesseq(rat_4, rat_10) & rat_$lesseq(rat_4,
% 47.80/7.22      rat_16) & rat_$lesseq(rat_4, rat_8) & rat_$lesseq(rat_4, rat_6) &
% 47.80/7.22    rat_$lesseq(rat_4, rat_4) & rat_$lesseq(rat_3, rat_18) & rat_$lesseq(rat_3,
% 47.80/7.22      rat_9) & rat_$lesseq(rat_3, rat_36) & rat_$lesseq(rat_3, rat_12) &
% 47.80/7.22    rat_$lesseq(rat_3, rat_7) & rat_$lesseq(rat_3, rat_24) & rat_$lesseq(rat_3,
% 47.80/7.22      rat_10) & rat_$lesseq(rat_3, rat_16) & rat_$lesseq(rat_3, rat_8) &
% 47.80/7.22    rat_$lesseq(rat_3, rat_6) & rat_$lesseq(rat_3, rat_4) & rat_$lesseq(rat_3,
% 47.80/7.22      rat_3) & rat_$lesseq(rat_0, rat_4/3) & rat_$lesseq(rat_0, rat_1/3) &
% 47.80/7.22    rat_$lesseq(rat_0, rat_1/2) & rat_$lesseq(rat_0, rat_18) & rat_$lesseq(rat_0,
% 47.80/7.22      rat_9) & rat_$lesseq(rat_0, rat_36) & rat_$lesseq(rat_0, rat_2/3) &
% 47.80/7.22    rat_$lesseq(rat_0, rat_1/6) & rat_$lesseq(rat_0, rat_2) & rat_$lesseq(rat_0,
% 47.80/7.22      rat_3/4) & rat_$lesseq(rat_0, rat_12) & rat_$lesseq(rat_0, rat_7) &
% 47.80/7.22    rat_$lesseq(rat_0, rat_3/2) & rat_$lesseq(rat_0, rat_24) & rat_$lesseq(rat_0,
% 47.80/7.22      rat_10) & rat_$lesseq(rat_0, rat_1) & rat_$lesseq(rat_0, rat_1/4) &
% 47.80/7.22    rat_$lesseq(rat_0, rat_16) & rat_$lesseq(rat_0, rat_8) & rat_$lesseq(rat_0,
% 47.80/7.22      rat_6) & rat_$lesseq(rat_0, rat_4) & rat_$lesseq(rat_0, rat_3) &
% 47.80/7.22    rat_$lesseq(rat_0, rat_0) & rat_$less(rat_very_small, rat_very_large) &
% 47.80/7.22    rat_$less(rat_very_small, rat_4/3) & rat_$less(rat_very_small, rat_1/3) &
% 47.80/7.22    rat_$less(rat_very_small, rat_-1) & rat_$less(rat_very_small, rat_-3) &
% 47.80/7.22    rat_$less(rat_very_small, rat_1/2) & rat_$less(rat_very_small, rat_18) &
% 47.80/7.22    rat_$less(rat_very_small, rat_9) & rat_$less(rat_very_small, rat_36) &
% 47.80/7.22    rat_$less(rat_very_small, rat_2/3) & rat_$less(rat_very_small, rat_1/6) &
% 47.80/7.22    rat_$less(rat_very_small, rat_2) & rat_$less(rat_very_small, rat_-6) &
% 47.80/7.22    rat_$less(rat_very_small, rat_3/4) & rat_$less(rat_very_small, rat_12) &
% 47.80/7.22    rat_$less(rat_very_small, rat_7) & rat_$less(rat_very_small, rat_3/2) &
% 47.80/7.22    rat_$less(rat_very_small, rat_24) & rat_$less(rat_very_small, rat_-2) &
% 47.80/7.22    rat_$less(rat_very_small, rat_10) & rat_$less(rat_very_small, rat_1) &
% 47.80/7.22    rat_$less(rat_very_small, rat_1/4) & rat_$less(rat_very_small, rat_16) &
% 47.80/7.22    rat_$less(rat_very_small, rat_8) & rat_$less(rat_very_small, rat_-4) &
% 47.80/7.22    rat_$less(rat_very_small, rat_6) & rat_$less(rat_very_small, rat_4) &
% 47.80/7.22    rat_$less(rat_very_small, rat_3) & rat_$less(rat_very_small, rat_0) &
% 47.80/7.22    rat_$less(rat_4/3, rat_very_large) & rat_$less(rat_4/3, rat_18) &
% 47.80/7.22    rat_$less(rat_4/3, rat_9) & rat_$less(rat_4/3, rat_36) & rat_$less(rat_4/3,
% 47.80/7.22      rat_2) & rat_$less(rat_4/3, rat_12) & rat_$less(rat_4/3, rat_7) &
% 47.80/7.22    rat_$less(rat_4/3, rat_3/2) & rat_$less(rat_4/3, rat_24) & rat_$less(rat_4/3,
% 47.80/7.22      rat_10) & rat_$less(rat_4/3, rat_16) & rat_$less(rat_4/3, rat_8) &
% 47.80/7.22    rat_$less(rat_4/3, rat_6) & rat_$less(rat_4/3, rat_4) & rat_$less(rat_4/3,
% 47.80/7.22      rat_3) & rat_$less(rat_1/3, rat_very_large) & rat_$less(rat_1/3, rat_4/3) &
% 47.80/7.22    rat_$less(rat_1/3, rat_1/2) & rat_$less(rat_1/3, rat_18) & rat_$less(rat_1/3,
% 47.80/7.22      rat_9) & rat_$less(rat_1/3, rat_36) & rat_$less(rat_1/3, rat_2/3) &
% 47.80/7.22    rat_$less(rat_1/3, rat_2) & rat_$less(rat_1/3, rat_3/4) & rat_$less(rat_1/3,
% 47.80/7.22      rat_12) & rat_$less(rat_1/3, rat_7) & rat_$less(rat_1/3, rat_3/2) &
% 47.80/7.22    rat_$less(rat_1/3, rat_24) & rat_$less(rat_1/3, rat_10) & rat_$less(rat_1/3,
% 47.80/7.22      rat_1) & rat_$less(rat_1/3, rat_16) & rat_$less(rat_1/3, rat_8) &
% 47.80/7.22    rat_$less(rat_1/3, rat_6) & rat_$less(rat_1/3, rat_4) & rat_$less(rat_1/3,
% 47.80/7.22      rat_3) & rat_$less(rat_-1, rat_very_large) & rat_$less(rat_-1, rat_4/3) &
% 47.80/7.22    rat_$less(rat_-1, rat_1/3) & rat_$less(rat_-1, rat_1/2) & rat_$less(rat_-1,
% 47.80/7.22      rat_18) & rat_$less(rat_-1, rat_9) & rat_$less(rat_-1, rat_36) &
% 47.80/7.22    rat_$less(rat_-1, rat_2/3) & rat_$less(rat_-1, rat_1/6) & rat_$less(rat_-1,
% 47.80/7.22      rat_2) & rat_$less(rat_-1, rat_3/4) & rat_$less(rat_-1, rat_12) &
% 47.80/7.22    rat_$less(rat_-1, rat_7) & rat_$less(rat_-1, rat_3/2) & rat_$less(rat_-1,
% 47.80/7.22      rat_24) & rat_$less(rat_-1, rat_10) & rat_$less(rat_-1, rat_1) &
% 47.80/7.22    rat_$less(rat_-1, rat_1/4) & rat_$less(rat_-1, rat_16) & rat_$less(rat_-1,
% 47.80/7.22      rat_8) & rat_$less(rat_-1, rat_6) & rat_$less(rat_-1, rat_4) &
% 47.80/7.22    rat_$less(rat_-1, rat_3) & rat_$less(rat_-1, rat_0) & rat_$less(rat_-3,
% 47.80/7.22      rat_very_large) & rat_$less(rat_-3, rat_4/3) & rat_$less(rat_-3, rat_1/3) &
% 47.80/7.22    rat_$less(rat_-3, rat_-1) & rat_$less(rat_-3, rat_1/2) & rat_$less(rat_-3,
% 47.80/7.22      rat_18) & rat_$less(rat_-3, rat_9) & rat_$less(rat_-3, rat_36) &
% 47.80/7.22    rat_$less(rat_-3, rat_2/3) & rat_$less(rat_-3, rat_1/6) & rat_$less(rat_-3,
% 47.80/7.22      rat_2) & rat_$less(rat_-3, rat_3/4) & rat_$less(rat_-3, rat_12) &
% 47.80/7.22    rat_$less(rat_-3, rat_7) & rat_$less(rat_-3, rat_3/2) & rat_$less(rat_-3,
% 47.80/7.22      rat_24) & rat_$less(rat_-3, rat_-2) & rat_$less(rat_-3, rat_10) &
% 47.80/7.22    rat_$less(rat_-3, rat_1) & rat_$less(rat_-3, rat_1/4) & rat_$less(rat_-3,
% 47.80/7.22      rat_16) & rat_$less(rat_-3, rat_8) & rat_$less(rat_-3, rat_6) &
% 47.80/7.22    rat_$less(rat_-3, rat_4) & rat_$less(rat_-3, rat_3) & rat_$less(rat_-3, rat_0)
% 47.80/7.22    & rat_$less(rat_1/2, rat_very_large) & rat_$less(rat_1/2, rat_4/3) &
% 47.80/7.22    rat_$less(rat_1/2, rat_18) & rat_$less(rat_1/2, rat_9) & rat_$less(rat_1/2,
% 47.80/7.22      rat_36) & rat_$less(rat_1/2, rat_2/3) & rat_$less(rat_1/2, rat_2) &
% 47.80/7.22    rat_$less(rat_1/2, rat_3/4) & rat_$less(rat_1/2, rat_12) & rat_$less(rat_1/2,
% 47.80/7.22      rat_7) & rat_$less(rat_1/2, rat_3/2) & rat_$less(rat_1/2, rat_24) &
% 47.80/7.22    rat_$less(rat_1/2, rat_10) & rat_$less(rat_1/2, rat_1) & rat_$less(rat_1/2,
% 47.80/7.22      rat_16) & rat_$less(rat_1/2, rat_8) & rat_$less(rat_1/2, rat_6) &
% 47.80/7.22    rat_$less(rat_1/2, rat_4) & rat_$less(rat_1/2, rat_3) & rat_$less(rat_18,
% 47.80/7.22      rat_very_large) & rat_$less(rat_18, rat_36) & rat_$less(rat_18, rat_24) &
% 47.80/7.22    rat_$less(rat_9, rat_very_large) & rat_$less(rat_9, rat_18) & rat_$less(rat_9,
% 47.80/7.22      rat_36) & rat_$less(rat_9, rat_12) & rat_$less(rat_9, rat_24) &
% 47.80/7.22    rat_$less(rat_9, rat_10) & rat_$less(rat_9, rat_16) & rat_$less(rat_36,
% 47.80/7.22      rat_very_large) & rat_$less(rat_2/3, rat_very_large) & rat_$less(rat_2/3,
% 47.80/7.22      rat_4/3) & rat_$less(rat_2/3, rat_18) & rat_$less(rat_2/3, rat_9) &
% 47.80/7.22    rat_$less(rat_2/3, rat_36) & rat_$less(rat_2/3, rat_2) & rat_$less(rat_2/3,
% 47.80/7.22      rat_3/4) & rat_$less(rat_2/3, rat_12) & rat_$less(rat_2/3, rat_7) &
% 47.80/7.22    rat_$less(rat_2/3, rat_3/2) & rat_$less(rat_2/3, rat_24) & rat_$less(rat_2/3,
% 47.80/7.22      rat_10) & rat_$less(rat_2/3, rat_1) & rat_$less(rat_2/3, rat_16) &
% 47.80/7.22    rat_$less(rat_2/3, rat_8) & rat_$less(rat_2/3, rat_6) & rat_$less(rat_2/3,
% 47.80/7.22      rat_4) & rat_$less(rat_2/3, rat_3) & rat_$less(rat_1/6, rat_very_large) &
% 47.80/7.22    rat_$less(rat_1/6, rat_4/3) & rat_$less(rat_1/6, rat_1/3) & rat_$less(rat_1/6,
% 47.80/7.22      rat_1/2) & rat_$less(rat_1/6, rat_18) & rat_$less(rat_1/6, rat_9) &
% 47.80/7.22    rat_$less(rat_1/6, rat_36) & rat_$less(rat_1/6, rat_2/3) & rat_$less(rat_1/6,
% 47.80/7.22      rat_2) & rat_$less(rat_1/6, rat_3/4) & rat_$less(rat_1/6, rat_12) &
% 47.80/7.22    rat_$less(rat_1/6, rat_7) & rat_$less(rat_1/6, rat_3/2) & rat_$less(rat_1/6,
% 47.80/7.22      rat_24) & rat_$less(rat_1/6, rat_10) & rat_$less(rat_1/6, rat_1) &
% 47.80/7.22    rat_$less(rat_1/6, rat_1/4) & rat_$less(rat_1/6, rat_16) & rat_$less(rat_1/6,
% 47.80/7.22      rat_8) & rat_$less(rat_1/6, rat_6) & rat_$less(rat_1/6, rat_4) &
% 47.80/7.22    rat_$less(rat_1/6, rat_3) & rat_$less(rat_2, rat_very_large) &
% 47.80/7.22    rat_$less(rat_2, rat_18) & rat_$less(rat_2, rat_9) & rat_$less(rat_2, rat_36)
% 47.80/7.22    & rat_$less(rat_2, rat_12) & rat_$less(rat_2, rat_7) & rat_$less(rat_2,
% 47.80/7.22      rat_24) & rat_$less(rat_2, rat_10) & rat_$less(rat_2, rat_16) &
% 47.80/7.22    rat_$less(rat_2, rat_8) & rat_$less(rat_2, rat_6) & rat_$less(rat_2, rat_4) &
% 47.80/7.22    rat_$less(rat_2, rat_3) & rat_$less(rat_-6, rat_very_large) &
% 47.80/7.22    rat_$less(rat_-6, rat_4/3) & rat_$less(rat_-6, rat_1/3) & rat_$less(rat_-6,
% 47.80/7.22      rat_-1) & rat_$less(rat_-6, rat_-3) & rat_$less(rat_-6, rat_1/2) &
% 47.80/7.22    rat_$less(rat_-6, rat_18) & rat_$less(rat_-6, rat_9) & rat_$less(rat_-6,
% 47.80/7.22      rat_36) & rat_$less(rat_-6, rat_2/3) & rat_$less(rat_-6, rat_1/6) &
% 47.80/7.22    rat_$less(rat_-6, rat_2) & rat_$less(rat_-6, rat_3/4) & rat_$less(rat_-6,
% 47.80/7.22      rat_12) & rat_$less(rat_-6, rat_7) & rat_$less(rat_-6, rat_3/2) &
% 47.80/7.22    rat_$less(rat_-6, rat_24) & rat_$less(rat_-6, rat_-2) & rat_$less(rat_-6,
% 47.80/7.22      rat_10) & rat_$less(rat_-6, rat_1) & rat_$less(rat_-6, rat_1/4) &
% 47.80/7.22    rat_$less(rat_-6, rat_16) & rat_$less(rat_-6, rat_8) & rat_$less(rat_-6,
% 47.80/7.22      rat_-4) & rat_$less(rat_-6, rat_6) & rat_$less(rat_-6, rat_4) &
% 47.80/7.22    rat_$less(rat_-6, rat_3) & rat_$less(rat_-6, rat_0) & rat_$less(rat_3/4,
% 47.80/7.22      rat_very_large) & rat_$less(rat_3/4, rat_4/3) & rat_$less(rat_3/4, rat_18) &
% 47.80/7.22    rat_$less(rat_3/4, rat_9) & rat_$less(rat_3/4, rat_36) & rat_$less(rat_3/4,
% 47.80/7.22      rat_2) & rat_$less(rat_3/4, rat_12) & rat_$less(rat_3/4, rat_7) &
% 47.80/7.22    rat_$less(rat_3/4, rat_3/2) & rat_$less(rat_3/4, rat_24) & rat_$less(rat_3/4,
% 47.80/7.22      rat_10) & rat_$less(rat_3/4, rat_1) & rat_$less(rat_3/4, rat_16) &
% 47.80/7.22    rat_$less(rat_3/4, rat_8) & rat_$less(rat_3/4, rat_6) & rat_$less(rat_3/4,
% 47.80/7.22      rat_4) & rat_$less(rat_3/4, rat_3) & rat_$less(rat_12, rat_very_large) &
% 47.80/7.22    rat_$less(rat_12, rat_18) & rat_$less(rat_12, rat_36) & rat_$less(rat_12,
% 47.80/7.22      rat_24) & rat_$less(rat_12, rat_16) & rat_$less(rat_7, rat_very_large) &
% 47.80/7.22    rat_$less(rat_7, rat_18) & rat_$less(rat_7, rat_9) & rat_$less(rat_7, rat_36)
% 47.80/7.22    & rat_$less(rat_7, rat_12) & rat_$less(rat_7, rat_24) & rat_$less(rat_7,
% 47.80/7.22      rat_10) & rat_$less(rat_7, rat_16) & rat_$less(rat_7, rat_8) &
% 47.80/7.22    rat_$less(rat_3/2, rat_very_large) & rat_$less(rat_3/2, rat_18) &
% 47.80/7.22    rat_$less(rat_3/2, rat_9) & rat_$less(rat_3/2, rat_36) & rat_$less(rat_3/2,
% 47.80/7.22      rat_2) & rat_$less(rat_3/2, rat_12) & rat_$less(rat_3/2, rat_7) &
% 47.80/7.22    rat_$less(rat_3/2, rat_24) & rat_$less(rat_3/2, rat_10) & rat_$less(rat_3/2,
% 47.80/7.22      rat_16) & rat_$less(rat_3/2, rat_8) & rat_$less(rat_3/2, rat_6) &
% 47.80/7.22    rat_$less(rat_3/2, rat_4) & rat_$less(rat_3/2, rat_3) & rat_$less(rat_24,
% 47.80/7.22      rat_very_large) & rat_$less(rat_24, rat_36) & rat_$less(rat_-2,
% 47.80/7.22      rat_very_large) & rat_$less(rat_-2, rat_4/3) & rat_$less(rat_-2, rat_1/3) &
% 47.80/7.22    rat_$less(rat_-2, rat_-1) & rat_$less(rat_-2, rat_1/2) & rat_$less(rat_-2,
% 47.80/7.22      rat_18) & rat_$less(rat_-2, rat_9) & rat_$less(rat_-2, rat_36) &
% 47.80/7.22    rat_$less(rat_-2, rat_2/3) & rat_$less(rat_-2, rat_1/6) & rat_$less(rat_-2,
% 47.80/7.22      rat_2) & rat_$less(rat_-2, rat_3/4) & rat_$less(rat_-2, rat_12) &
% 47.80/7.22    rat_$less(rat_-2, rat_7) & rat_$less(rat_-2, rat_3/2) & rat_$less(rat_-2,
% 47.80/7.22      rat_24) & rat_$less(rat_-2, rat_10) & rat_$less(rat_-2, rat_1) &
% 47.80/7.22    rat_$less(rat_-2, rat_1/4) & rat_$less(rat_-2, rat_16) & rat_$less(rat_-2,
% 47.80/7.22      rat_8) & rat_$less(rat_-2, rat_6) & rat_$less(rat_-2, rat_4) &
% 47.80/7.22    rat_$less(rat_-2, rat_3) & rat_$less(rat_-2, rat_0) & rat_$less(rat_10,
% 47.80/7.22      rat_very_large) & rat_$less(rat_10, rat_18) & rat_$less(rat_10, rat_36) &
% 47.80/7.22    rat_$less(rat_10, rat_12) & rat_$less(rat_10, rat_24) & rat_$less(rat_10,
% 47.80/7.22      rat_16) & rat_$less(rat_1, rat_very_large) & rat_$less(rat_1, rat_4/3) &
% 47.80/7.22    rat_$less(rat_1, rat_18) & rat_$less(rat_1, rat_9) & rat_$less(rat_1, rat_36)
% 47.80/7.22    & rat_$less(rat_1, rat_2) & rat_$less(rat_1, rat_12) & rat_$less(rat_1, rat_7)
% 47.80/7.22    & rat_$less(rat_1, rat_3/2) & rat_$less(rat_1, rat_24) & rat_$less(rat_1,
% 47.80/7.22      rat_10) & rat_$less(rat_1, rat_16) & rat_$less(rat_1, rat_8) &
% 47.80/7.22    rat_$less(rat_1, rat_6) & rat_$less(rat_1, rat_4) & rat_$less(rat_1, rat_3) &
% 47.80/7.22    rat_$less(rat_1/4, rat_very_large) & rat_$less(rat_1/4, rat_4/3) &
% 47.80/7.22    rat_$less(rat_1/4, rat_1/3) & rat_$less(rat_1/4, rat_1/2) & rat_$less(rat_1/4,
% 47.80/7.22      rat_18) & rat_$less(rat_1/4, rat_9) & rat_$less(rat_1/4, rat_36) &
% 47.80/7.22    rat_$less(rat_1/4, rat_2/3) & rat_$less(rat_1/4, rat_2) & rat_$less(rat_1/4,
% 47.80/7.22      rat_3/4) & rat_$less(rat_1/4, rat_12) & rat_$less(rat_1/4, rat_7) &
% 47.80/7.22    rat_$less(rat_1/4, rat_3/2) & rat_$less(rat_1/4, rat_24) & rat_$less(rat_1/4,
% 47.80/7.22      rat_10) & rat_$less(rat_1/4, rat_1) & rat_$less(rat_1/4, rat_16) &
% 47.80/7.22    rat_$less(rat_1/4, rat_8) & rat_$less(rat_1/4, rat_6) & rat_$less(rat_1/4,
% 47.80/7.22      rat_4) & rat_$less(rat_1/4, rat_3) & rat_$less(rat_16, rat_very_large) &
% 47.80/7.22    rat_$less(rat_16, rat_18) & rat_$less(rat_16, rat_36) & rat_$less(rat_16,
% 47.80/7.22      rat_24) & rat_$less(rat_8, rat_very_large) & rat_$less(rat_8, rat_18) &
% 47.80/7.22    rat_$less(rat_8, rat_9) & rat_$less(rat_8, rat_36) & rat_$less(rat_8, rat_12)
% 47.80/7.22    & rat_$less(rat_8, rat_24) & rat_$less(rat_8, rat_10) & rat_$less(rat_8,
% 47.80/7.22      rat_16) & rat_$less(rat_-4, rat_very_large) & rat_$less(rat_-4, rat_4/3) &
% 47.80/7.22    rat_$less(rat_-4, rat_1/3) & rat_$less(rat_-4, rat_-1) & rat_$less(rat_-4,
% 47.80/7.22      rat_-3) & rat_$less(rat_-4, rat_1/2) & rat_$less(rat_-4, rat_18) &
% 47.80/7.22    rat_$less(rat_-4, rat_9) & rat_$less(rat_-4, rat_36) & rat_$less(rat_-4,
% 47.80/7.22      rat_2/3) & rat_$less(rat_-4, rat_1/6) & rat_$less(rat_-4, rat_2) &
% 47.80/7.22    rat_$less(rat_-4, rat_3/4) & rat_$less(rat_-4, rat_12) & rat_$less(rat_-4,
% 47.80/7.22      rat_7) & rat_$less(rat_-4, rat_3/2) & rat_$less(rat_-4, rat_24) &
% 47.80/7.22    rat_$less(rat_-4, rat_-2) & rat_$less(rat_-4, rat_10) & rat_$less(rat_-4,
% 47.80/7.22      rat_1) & rat_$less(rat_-4, rat_1/4) & rat_$less(rat_-4, rat_16) &
% 47.80/7.22    rat_$less(rat_-4, rat_8) & rat_$less(rat_-4, rat_6) & rat_$less(rat_-4, rat_4)
% 47.80/7.22    & rat_$less(rat_-4, rat_3) & rat_$less(rat_-4, rat_0) & rat_$less(rat_6,
% 47.80/7.22      rat_very_large) & rat_$less(rat_6, rat_18) & rat_$less(rat_6, rat_9) &
% 47.80/7.22    rat_$less(rat_6, rat_36) & rat_$less(rat_6, rat_12) & rat_$less(rat_6, rat_7)
% 47.80/7.22    & rat_$less(rat_6, rat_24) & rat_$less(rat_6, rat_10) & rat_$less(rat_6,
% 47.80/7.22      rat_16) & rat_$less(rat_6, rat_8) & rat_$less(rat_4, rat_very_large) &
% 47.80/7.22    rat_$less(rat_4, rat_18) & rat_$less(rat_4, rat_9) & rat_$less(rat_4, rat_36)
% 47.80/7.22    & rat_$less(rat_4, rat_12) & rat_$less(rat_4, rat_7) & rat_$less(rat_4,
% 47.80/7.22      rat_24) & rat_$less(rat_4, rat_10) & rat_$less(rat_4, rat_16) &
% 47.80/7.22    rat_$less(rat_4, rat_8) & rat_$less(rat_4, rat_6) & rat_$less(rat_3,
% 47.80/7.22      rat_very_large) & rat_$less(rat_3, rat_18) & rat_$less(rat_3, rat_9) &
% 47.80/7.22    rat_$less(rat_3, rat_36) & rat_$less(rat_3, rat_12) & rat_$less(rat_3, rat_7)
% 47.80/7.22    & rat_$less(rat_3, rat_24) & rat_$less(rat_3, rat_10) & rat_$less(rat_3,
% 47.80/7.22      rat_16) & rat_$less(rat_3, rat_8) & rat_$less(rat_3, rat_6) &
% 47.80/7.22    rat_$less(rat_3, rat_4) & rat_$less(rat_0, rat_very_large) & rat_$less(rat_0,
% 47.80/7.22      rat_4/3) & rat_$less(rat_0, rat_1/3) & rat_$less(rat_0, rat_1/2) &
% 47.80/7.22    rat_$less(rat_0, rat_18) & rat_$less(rat_0, rat_9) & rat_$less(rat_0, rat_36)
% 47.80/7.22    & rat_$less(rat_0, rat_2/3) & rat_$less(rat_0, rat_1/6) & rat_$less(rat_0,
% 47.80/7.22      rat_2) & rat_$less(rat_0, rat_3/4) & rat_$less(rat_0, rat_12) &
% 47.80/7.22    rat_$less(rat_0, rat_7) & rat_$less(rat_0, rat_3/2) & rat_$less(rat_0, rat_24)
% 47.80/7.22    & rat_$less(rat_0, rat_10) & rat_$less(rat_0, rat_1) & rat_$less(rat_0,
% 47.80/7.22      rat_1/4) & rat_$less(rat_0, rat_16) & rat_$less(rat_0, rat_8) &
% 47.80/7.22    rat_$less(rat_0, rat_6) & rat_$less(rat_0, rat_4) & rat_$less(rat_0, rat_3) & 
% 47.80/7.22    ~ rat_$is_int(rat_4/3) &  ~ rat_$is_int(rat_1/3) &  ~ rat_$is_int(rat_1/2) & 
% 47.80/7.22    ~ rat_$is_int(rat_2/3) &  ~ rat_$is_int(rat_1/6) &  ~ rat_$is_int(rat_3/4) & 
% 47.80/7.22    ~ rat_$is_int(rat_3/2) &  ~ rat_$is_int(rat_1/4) &  ~
% 47.80/7.22    rat_$greatereq(rat_very_small, rat_very_large) &  ~ rat_$greatereq(rat_4/3,
% 47.80/7.22      rat_18) &  ~ rat_$greatereq(rat_4/3, rat_9) &  ~ rat_$greatereq(rat_4/3,
% 47.80/7.22      rat_36) &  ~ rat_$greatereq(rat_4/3, rat_2) &  ~ rat_$greatereq(rat_4/3,
% 47.80/7.22      rat_12) &  ~ rat_$greatereq(rat_4/3, rat_7) &  ~ rat_$greatereq(rat_4/3,
% 47.80/7.22      rat_3/2) &  ~ rat_$greatereq(rat_4/3, rat_24) &  ~ rat_$greatereq(rat_4/3,
% 47.80/7.22      rat_10) &  ~ rat_$greatereq(rat_4/3, rat_16) &  ~ rat_$greatereq(rat_4/3,
% 47.80/7.22      rat_8) &  ~ rat_$greatereq(rat_4/3, rat_6) &  ~ rat_$greatereq(rat_4/3,
% 47.80/7.22      rat_4) &  ~ rat_$greatereq(rat_4/3, rat_3) &  ~ rat_$greatereq(rat_1/3,
% 47.80/7.22      rat_4/3) &  ~ rat_$greatereq(rat_1/3, rat_1/2) &  ~ rat_$greatereq(rat_1/3,
% 47.80/7.22      rat_18) &  ~ rat_$greatereq(rat_1/3, rat_9) &  ~ rat_$greatereq(rat_1/3,
% 47.80/7.22      rat_36) &  ~ rat_$greatereq(rat_1/3, rat_2/3) &  ~ rat_$greatereq(rat_1/3,
% 47.80/7.22      rat_2) &  ~ rat_$greatereq(rat_1/3, rat_3/4) &  ~ rat_$greatereq(rat_1/3,
% 47.80/7.22      rat_12) &  ~ rat_$greatereq(rat_1/3, rat_7) &  ~ rat_$greatereq(rat_1/3,
% 47.80/7.22      rat_3/2) &  ~ rat_$greatereq(rat_1/3, rat_24) &  ~ rat_$greatereq(rat_1/3,
% 47.80/7.22      rat_10) &  ~ rat_$greatereq(rat_1/3, rat_1) &  ~ rat_$greatereq(rat_1/3,
% 47.80/7.22      rat_16) &  ~ rat_$greatereq(rat_1/3, rat_8) &  ~ rat_$greatereq(rat_1/3,
% 47.80/7.22      rat_6) &  ~ rat_$greatereq(rat_1/3, rat_4) &  ~ rat_$greatereq(rat_1/3,
% 47.80/7.22      rat_3) &  ~ rat_$greatereq(rat_-1, rat_4/3) &  ~ rat_$greatereq(rat_-1,
% 47.80/7.22      rat_1/3) &  ~ rat_$greatereq(rat_-1, rat_1/2) &  ~ rat_$greatereq(rat_-1,
% 47.80/7.22      rat_18) &  ~ rat_$greatereq(rat_-1, rat_9) &  ~ rat_$greatereq(rat_-1,
% 47.80/7.22      rat_36) &  ~ rat_$greatereq(rat_-1, rat_2/3) &  ~ rat_$greatereq(rat_-1,
% 47.80/7.22      rat_1/6) &  ~ rat_$greatereq(rat_-1, rat_2) &  ~ rat_$greatereq(rat_-1,
% 47.80/7.22      rat_3/4) &  ~ rat_$greatereq(rat_-1, rat_12) &  ~ rat_$greatereq(rat_-1,
% 47.80/7.22      rat_7) &  ~ rat_$greatereq(rat_-1, rat_3/2) &  ~ rat_$greatereq(rat_-1,
% 47.80/7.22      rat_24) &  ~ rat_$greatereq(rat_-1, rat_10) &  ~ rat_$greatereq(rat_-1,
% 47.80/7.22      rat_1) &  ~ rat_$greatereq(rat_-1, rat_1/4) &  ~ rat_$greatereq(rat_-1,
% 47.80/7.22      rat_16) &  ~ rat_$greatereq(rat_-1, rat_8) &  ~ rat_$greatereq(rat_-1,
% 47.80/7.22      rat_6) &  ~ rat_$greatereq(rat_-1, rat_4) &  ~ rat_$greatereq(rat_-1, rat_3)
% 47.80/7.22    &  ~ rat_$greatereq(rat_-1, rat_0) &  ~ rat_$greatereq(rat_-3, rat_4/3) &  ~
% 47.80/7.22    rat_$greatereq(rat_-3, rat_1/3) &  ~ rat_$greatereq(rat_-3, rat_-1) &  ~
% 47.80/7.22    rat_$greatereq(rat_-3, rat_1/2) &  ~ rat_$greatereq(rat_-3, rat_18) &  ~
% 47.80/7.22    rat_$greatereq(rat_-3, rat_9) &  ~ rat_$greatereq(rat_-3, rat_36) &  ~
% 47.80/7.22    rat_$greatereq(rat_-3, rat_2/3) &  ~ rat_$greatereq(rat_-3, rat_1/6) &  ~
% 47.80/7.22    rat_$greatereq(rat_-3, rat_2) &  ~ rat_$greatereq(rat_-3, rat_3/4) &  ~
% 47.80/7.22    rat_$greatereq(rat_-3, rat_12) &  ~ rat_$greatereq(rat_-3, rat_7) &  ~
% 47.80/7.22    rat_$greatereq(rat_-3, rat_3/2) &  ~ rat_$greatereq(rat_-3, rat_24) &  ~
% 47.80/7.22    rat_$greatereq(rat_-3, rat_-2) &  ~ rat_$greatereq(rat_-3, rat_10) &  ~
% 47.80/7.22    rat_$greatereq(rat_-3, rat_1) &  ~ rat_$greatereq(rat_-3, rat_1/4) &  ~
% 47.80/7.22    rat_$greatereq(rat_-3, rat_16) &  ~ rat_$greatereq(rat_-3, rat_8) &  ~
% 47.80/7.22    rat_$greatereq(rat_-3, rat_6) &  ~ rat_$greatereq(rat_-3, rat_4) &  ~
% 47.80/7.22    rat_$greatereq(rat_-3, rat_3) &  ~ rat_$greatereq(rat_-3, rat_0) &  ~
% 47.80/7.22    rat_$greatereq(rat_1/2, rat_4/3) &  ~ rat_$greatereq(rat_1/2, rat_18) &  ~
% 47.80/7.22    rat_$greatereq(rat_1/2, rat_9) &  ~ rat_$greatereq(rat_1/2, rat_36) &  ~
% 47.80/7.22    rat_$greatereq(rat_1/2, rat_2/3) &  ~ rat_$greatereq(rat_1/2, rat_2) &  ~
% 47.80/7.22    rat_$greatereq(rat_1/2, rat_3/4) &  ~ rat_$greatereq(rat_1/2, rat_12) &  ~
% 47.80/7.22    rat_$greatereq(rat_1/2, rat_7) &  ~ rat_$greatereq(rat_1/2, rat_3/2) &  ~
% 47.80/7.22    rat_$greatereq(rat_1/2, rat_24) &  ~ rat_$greatereq(rat_1/2, rat_10) &  ~
% 47.80/7.22    rat_$greatereq(rat_1/2, rat_1) &  ~ rat_$greatereq(rat_1/2, rat_16) &  ~
% 47.80/7.22    rat_$greatereq(rat_1/2, rat_8) &  ~ rat_$greatereq(rat_1/2, rat_6) &  ~
% 47.80/7.22    rat_$greatereq(rat_1/2, rat_4) &  ~ rat_$greatereq(rat_1/2, rat_3) &  ~
% 47.80/7.22    rat_$greatereq(rat_18, rat_36) &  ~ rat_$greatereq(rat_18, rat_24) &  ~
% 47.80/7.22    rat_$greatereq(rat_9, rat_18) &  ~ rat_$greatereq(rat_9, rat_36) &  ~
% 47.80/7.22    rat_$greatereq(rat_9, rat_12) &  ~ rat_$greatereq(rat_9, rat_24) &  ~
% 47.80/7.22    rat_$greatereq(rat_9, rat_10) &  ~ rat_$greatereq(rat_9, rat_16) &  ~
% 47.80/7.22    rat_$greatereq(rat_2/3, rat_4/3) &  ~ rat_$greatereq(rat_2/3, rat_18) &  ~
% 47.80/7.22    rat_$greatereq(rat_2/3, rat_9) &  ~ rat_$greatereq(rat_2/3, rat_36) &  ~
% 47.80/7.22    rat_$greatereq(rat_2/3, rat_2) &  ~ rat_$greatereq(rat_2/3, rat_3/4) &  ~
% 47.80/7.22    rat_$greatereq(rat_2/3, rat_12) &  ~ rat_$greatereq(rat_2/3, rat_7) &  ~
% 47.80/7.22    rat_$greatereq(rat_2/3, rat_3/2) &  ~ rat_$greatereq(rat_2/3, rat_24) &  ~
% 47.80/7.22    rat_$greatereq(rat_2/3, rat_10) &  ~ rat_$greatereq(rat_2/3, rat_1) &  ~
% 47.80/7.22    rat_$greatereq(rat_2/3, rat_16) &  ~ rat_$greatereq(rat_2/3, rat_8) &  ~
% 47.80/7.22    rat_$greatereq(rat_2/3, rat_6) &  ~ rat_$greatereq(rat_2/3, rat_4) &  ~
% 47.80/7.22    rat_$greatereq(rat_2/3, rat_3) &  ~ rat_$greatereq(rat_1/6, rat_4/3) &  ~
% 47.80/7.22    rat_$greatereq(rat_1/6, rat_1/3) &  ~ rat_$greatereq(rat_1/6, rat_1/2) &  ~
% 47.80/7.22    rat_$greatereq(rat_1/6, rat_18) &  ~ rat_$greatereq(rat_1/6, rat_9) &  ~
% 47.80/7.22    rat_$greatereq(rat_1/6, rat_36) &  ~ rat_$greatereq(rat_1/6, rat_2/3) &  ~
% 47.80/7.22    rat_$greatereq(rat_1/6, rat_2) &  ~ rat_$greatereq(rat_1/6, rat_3/4) &  ~
% 47.80/7.22    rat_$greatereq(rat_1/6, rat_12) &  ~ rat_$greatereq(rat_1/6, rat_7) &  ~
% 47.80/7.22    rat_$greatereq(rat_1/6, rat_3/2) &  ~ rat_$greatereq(rat_1/6, rat_24) &  ~
% 47.80/7.22    rat_$greatereq(rat_1/6, rat_10) &  ~ rat_$greatereq(rat_1/6, rat_1) &  ~
% 47.80/7.22    rat_$greatereq(rat_1/6, rat_1/4) &  ~ rat_$greatereq(rat_1/6, rat_16) &  ~
% 47.80/7.22    rat_$greatereq(rat_1/6, rat_8) &  ~ rat_$greatereq(rat_1/6, rat_6) &  ~
% 47.80/7.22    rat_$greatereq(rat_1/6, rat_4) &  ~ rat_$greatereq(rat_1/6, rat_3) &  ~
% 47.80/7.22    rat_$greatereq(rat_2, rat_18) &  ~ rat_$greatereq(rat_2, rat_9) &  ~
% 47.80/7.22    rat_$greatereq(rat_2, rat_36) &  ~ rat_$greatereq(rat_2, rat_12) &  ~
% 47.80/7.22    rat_$greatereq(rat_2, rat_7) &  ~ rat_$greatereq(rat_2, rat_24) &  ~
% 47.80/7.22    rat_$greatereq(rat_2, rat_10) &  ~ rat_$greatereq(rat_2, rat_16) &  ~
% 47.80/7.22    rat_$greatereq(rat_2, rat_8) &  ~ rat_$greatereq(rat_2, rat_6) &  ~
% 47.80/7.22    rat_$greatereq(rat_2, rat_4) &  ~ rat_$greatereq(rat_2, rat_3) &  ~
% 47.80/7.22    rat_$greatereq(rat_-6, rat_4/3) &  ~ rat_$greatereq(rat_-6, rat_1/3) &  ~
% 47.80/7.22    rat_$greatereq(rat_-6, rat_-1) &  ~ rat_$greatereq(rat_-6, rat_-3) &  ~
% 47.80/7.22    rat_$greatereq(rat_-6, rat_1/2) &  ~ rat_$greatereq(rat_-6, rat_18) &  ~
% 47.80/7.22    rat_$greatereq(rat_-6, rat_9) &  ~ rat_$greatereq(rat_-6, rat_36) &  ~
% 47.80/7.22    rat_$greatereq(rat_-6, rat_2/3) &  ~ rat_$greatereq(rat_-6, rat_1/6) &  ~
% 47.80/7.22    rat_$greatereq(rat_-6, rat_2) &  ~ rat_$greatereq(rat_-6, rat_3/4) &  ~
% 47.80/7.22    rat_$greatereq(rat_-6, rat_12) &  ~ rat_$greatereq(rat_-6, rat_7) &  ~
% 47.80/7.22    rat_$greatereq(rat_-6, rat_3/2) &  ~ rat_$greatereq(rat_-6, rat_24) &  ~
% 47.80/7.22    rat_$greatereq(rat_-6, rat_-2) &  ~ rat_$greatereq(rat_-6, rat_10) &  ~
% 47.80/7.22    rat_$greatereq(rat_-6, rat_1) &  ~ rat_$greatereq(rat_-6, rat_1/4) &  ~
% 47.80/7.22    rat_$greatereq(rat_-6, rat_16) &  ~ rat_$greatereq(rat_-6, rat_8) &  ~
% 47.80/7.22    rat_$greatereq(rat_-6, rat_-4) &  ~ rat_$greatereq(rat_-6, rat_6) &  ~
% 47.80/7.22    rat_$greatereq(rat_-6, rat_4) &  ~ rat_$greatereq(rat_-6, rat_3) &  ~
% 47.80/7.22    rat_$greatereq(rat_-6, rat_0) &  ~ rat_$greatereq(rat_3/4, rat_4/3) &  ~
% 47.80/7.22    rat_$greatereq(rat_3/4, rat_18) &  ~ rat_$greatereq(rat_3/4, rat_9) &  ~
% 47.80/7.22    rat_$greatereq(rat_3/4, rat_36) &  ~ rat_$greatereq(rat_3/4, rat_2) &  ~
% 47.80/7.22    rat_$greatereq(rat_3/4, rat_12) &  ~ rat_$greatereq(rat_3/4, rat_7) &  ~
% 47.80/7.22    rat_$greatereq(rat_3/4, rat_3/2) &  ~ rat_$greatereq(rat_3/4, rat_24) &  ~
% 47.80/7.22    rat_$greatereq(rat_3/4, rat_10) &  ~ rat_$greatereq(rat_3/4, rat_1) &  ~
% 47.80/7.22    rat_$greatereq(rat_3/4, rat_16) &  ~ rat_$greatereq(rat_3/4, rat_8) &  ~
% 47.80/7.22    rat_$greatereq(rat_3/4, rat_6) &  ~ rat_$greatereq(rat_3/4, rat_4) &  ~
% 47.80/7.22    rat_$greatereq(rat_3/4, rat_3) &  ~ rat_$greatereq(rat_12, rat_18) &  ~
% 47.80/7.22    rat_$greatereq(rat_12, rat_36) &  ~ rat_$greatereq(rat_12, rat_24) &  ~
% 47.80/7.22    rat_$greatereq(rat_12, rat_16) &  ~ rat_$greatereq(rat_7, rat_18) &  ~
% 47.80/7.22    rat_$greatereq(rat_7, rat_9) &  ~ rat_$greatereq(rat_7, rat_36) &  ~
% 47.80/7.22    rat_$greatereq(rat_7, rat_12) &  ~ rat_$greatereq(rat_7, rat_24) &  ~
% 47.80/7.22    rat_$greatereq(rat_7, rat_10) &  ~ rat_$greatereq(rat_7, rat_16) &  ~
% 47.80/7.22    rat_$greatereq(rat_7, rat_8) &  ~ rat_$greatereq(rat_3/2, rat_18) &  ~
% 47.80/7.22    rat_$greatereq(rat_3/2, rat_9) &  ~ rat_$greatereq(rat_3/2, rat_36) &  ~
% 47.80/7.22    rat_$greatereq(rat_3/2, rat_2) &  ~ rat_$greatereq(rat_3/2, rat_12) &  ~
% 47.80/7.22    rat_$greatereq(rat_3/2, rat_7) &  ~ rat_$greatereq(rat_3/2, rat_24) &  ~
% 47.80/7.22    rat_$greatereq(rat_3/2, rat_10) &  ~ rat_$greatereq(rat_3/2, rat_16) &  ~
% 47.80/7.22    rat_$greatereq(rat_3/2, rat_8) &  ~ rat_$greatereq(rat_3/2, rat_6) &  ~
% 47.80/7.22    rat_$greatereq(rat_3/2, rat_4) &  ~ rat_$greatereq(rat_3/2, rat_3) &  ~
% 47.80/7.22    rat_$greatereq(rat_24, rat_36) &  ~ rat_$greatereq(rat_-2, rat_4/3) &  ~
% 47.80/7.22    rat_$greatereq(rat_-2, rat_1/3) &  ~ rat_$greatereq(rat_-2, rat_-1) &  ~
% 47.80/7.22    rat_$greatereq(rat_-2, rat_1/2) &  ~ rat_$greatereq(rat_-2, rat_18) &  ~
% 47.80/7.22    rat_$greatereq(rat_-2, rat_9) &  ~ rat_$greatereq(rat_-2, rat_36) &  ~
% 47.80/7.22    rat_$greatereq(rat_-2, rat_2/3) &  ~ rat_$greatereq(rat_-2, rat_1/6) &  ~
% 47.80/7.22    rat_$greatereq(rat_-2, rat_2) &  ~ rat_$greatereq(rat_-2, rat_3/4) &  ~
% 47.80/7.22    rat_$greatereq(rat_-2, rat_12) &  ~ rat_$greatereq(rat_-2, rat_7) &  ~
% 47.80/7.22    rat_$greatereq(rat_-2, rat_3/2) &  ~ rat_$greatereq(rat_-2, rat_24) &  ~
% 47.80/7.22    rat_$greatereq(rat_-2, rat_10) &  ~ rat_$greatereq(rat_-2, rat_1) &  ~
% 47.80/7.22    rat_$greatereq(rat_-2, rat_1/4) &  ~ rat_$greatereq(rat_-2, rat_16) &  ~
% 47.80/7.22    rat_$greatereq(rat_-2, rat_8) &  ~ rat_$greatereq(rat_-2, rat_6) &  ~
% 47.80/7.22    rat_$greatereq(rat_-2, rat_4) &  ~ rat_$greatereq(rat_-2, rat_3) &  ~
% 47.80/7.22    rat_$greatereq(rat_-2, rat_0) &  ~ rat_$greatereq(rat_10, rat_18) &  ~
% 47.80/7.22    rat_$greatereq(rat_10, rat_36) &  ~ rat_$greatereq(rat_10, rat_12) &  ~
% 47.80/7.22    rat_$greatereq(rat_10, rat_24) &  ~ rat_$greatereq(rat_10, rat_16) &  ~
% 47.80/7.22    rat_$greatereq(rat_1, rat_4/3) &  ~ rat_$greatereq(rat_1, rat_18) &  ~
% 47.80/7.22    rat_$greatereq(rat_1, rat_9) &  ~ rat_$greatereq(rat_1, rat_36) &  ~
% 47.80/7.22    rat_$greatereq(rat_1, rat_2) &  ~ rat_$greatereq(rat_1, rat_12) &  ~
% 47.80/7.22    rat_$greatereq(rat_1, rat_7) &  ~ rat_$greatereq(rat_1, rat_3/2) &  ~
% 47.80/7.22    rat_$greatereq(rat_1, rat_24) &  ~ rat_$greatereq(rat_1, rat_10) &  ~
% 47.80/7.22    rat_$greatereq(rat_1, rat_16) &  ~ rat_$greatereq(rat_1, rat_8) &  ~
% 47.80/7.22    rat_$greatereq(rat_1, rat_6) &  ~ rat_$greatereq(rat_1, rat_4) &  ~
% 47.80/7.22    rat_$greatereq(rat_1, rat_3) &  ~ rat_$greatereq(rat_1/4, rat_4/3) &  ~
% 47.80/7.22    rat_$greatereq(rat_1/4, rat_1/3) &  ~ rat_$greatereq(rat_1/4, rat_1/2) &  ~
% 47.80/7.22    rat_$greatereq(rat_1/4, rat_18) &  ~ rat_$greatereq(rat_1/4, rat_9) &  ~
% 47.80/7.22    rat_$greatereq(rat_1/4, rat_36) &  ~ rat_$greatereq(rat_1/4, rat_2/3) &  ~
% 47.80/7.22    rat_$greatereq(rat_1/4, rat_2) &  ~ rat_$greatereq(rat_1/4, rat_3/4) &  ~
% 47.80/7.22    rat_$greatereq(rat_1/4, rat_12) &  ~ rat_$greatereq(rat_1/4, rat_7) &  ~
% 47.80/7.22    rat_$greatereq(rat_1/4, rat_3/2) &  ~ rat_$greatereq(rat_1/4, rat_24) &  ~
% 47.80/7.22    rat_$greatereq(rat_1/4, rat_10) &  ~ rat_$greatereq(rat_1/4, rat_1) &  ~
% 47.80/7.22    rat_$greatereq(rat_1/4, rat_16) &  ~ rat_$greatereq(rat_1/4, rat_8) &  ~
% 47.80/7.22    rat_$greatereq(rat_1/4, rat_6) &  ~ rat_$greatereq(rat_1/4, rat_4) &  ~
% 47.80/7.22    rat_$greatereq(rat_1/4, rat_3) &  ~ rat_$greatereq(rat_16, rat_18) &  ~
% 47.80/7.22    rat_$greatereq(rat_16, rat_36) &  ~ rat_$greatereq(rat_16, rat_24) &  ~
% 47.80/7.22    rat_$greatereq(rat_8, rat_18) &  ~ rat_$greatereq(rat_8, rat_9) &  ~
% 47.80/7.22    rat_$greatereq(rat_8, rat_36) &  ~ rat_$greatereq(rat_8, rat_12) &  ~
% 47.80/7.22    rat_$greatereq(rat_8, rat_24) &  ~ rat_$greatereq(rat_8, rat_10) &  ~
% 47.80/7.22    rat_$greatereq(rat_8, rat_16) &  ~ rat_$greatereq(rat_-4, rat_4/3) &  ~
% 47.80/7.22    rat_$greatereq(rat_-4, rat_1/3) &  ~ rat_$greatereq(rat_-4, rat_-1) &  ~
% 47.80/7.22    rat_$greatereq(rat_-4, rat_-3) &  ~ rat_$greatereq(rat_-4, rat_1/2) &  ~
% 47.80/7.22    rat_$greatereq(rat_-4, rat_18) &  ~ rat_$greatereq(rat_-4, rat_9) &  ~
% 47.80/7.22    rat_$greatereq(rat_-4, rat_36) &  ~ rat_$greatereq(rat_-4, rat_2/3) &  ~
% 47.80/7.22    rat_$greatereq(rat_-4, rat_1/6) &  ~ rat_$greatereq(rat_-4, rat_2) &  ~
% 47.80/7.22    rat_$greatereq(rat_-4, rat_3/4) &  ~ rat_$greatereq(rat_-4, rat_12) &  ~
% 47.80/7.22    rat_$greatereq(rat_-4, rat_7) &  ~ rat_$greatereq(rat_-4, rat_3/2) &  ~
% 47.80/7.22    rat_$greatereq(rat_-4, rat_24) &  ~ rat_$greatereq(rat_-4, rat_-2) &  ~
% 47.80/7.22    rat_$greatereq(rat_-4, rat_10) &  ~ rat_$greatereq(rat_-4, rat_1) &  ~
% 47.80/7.22    rat_$greatereq(rat_-4, rat_1/4) &  ~ rat_$greatereq(rat_-4, rat_16) &  ~
% 47.80/7.22    rat_$greatereq(rat_-4, rat_8) &  ~ rat_$greatereq(rat_-4, rat_6) &  ~
% 47.80/7.22    rat_$greatereq(rat_-4, rat_4) &  ~ rat_$greatereq(rat_-4, rat_3) &  ~
% 47.80/7.22    rat_$greatereq(rat_-4, rat_0) &  ~ rat_$greatereq(rat_6, rat_18) &  ~
% 47.80/7.22    rat_$greatereq(rat_6, rat_9) &  ~ rat_$greatereq(rat_6, rat_36) &  ~
% 47.80/7.22    rat_$greatereq(rat_6, rat_12) &  ~ rat_$greatereq(rat_6, rat_7) &  ~
% 47.80/7.22    rat_$greatereq(rat_6, rat_24) &  ~ rat_$greatereq(rat_6, rat_10) &  ~
% 47.80/7.22    rat_$greatereq(rat_6, rat_16) &  ~ rat_$greatereq(rat_6, rat_8) &  ~
% 47.80/7.22    rat_$greatereq(rat_4, rat_18) &  ~ rat_$greatereq(rat_4, rat_9) &  ~
% 47.80/7.22    rat_$greatereq(rat_4, rat_36) &  ~ rat_$greatereq(rat_4, rat_12) &  ~
% 47.80/7.22    rat_$greatereq(rat_4, rat_7) &  ~ rat_$greatereq(rat_4, rat_24) &  ~
% 47.80/7.22    rat_$greatereq(rat_4, rat_10) &  ~ rat_$greatereq(rat_4, rat_16) &  ~
% 47.80/7.22    rat_$greatereq(rat_4, rat_8) &  ~ rat_$greatereq(rat_4, rat_6) &  ~
% 47.80/7.22    rat_$greatereq(rat_3, rat_18) &  ~ rat_$greatereq(rat_3, rat_9) &  ~
% 47.80/7.22    rat_$greatereq(rat_3, rat_36) &  ~ rat_$greatereq(rat_3, rat_12) &  ~
% 47.80/7.22    rat_$greatereq(rat_3, rat_7) &  ~ rat_$greatereq(rat_3, rat_24) &  ~
% 47.80/7.22    rat_$greatereq(rat_3, rat_10) &  ~ rat_$greatereq(rat_3, rat_16) &  ~
% 47.80/7.22    rat_$greatereq(rat_3, rat_8) &  ~ rat_$greatereq(rat_3, rat_6) &  ~
% 47.80/7.22    rat_$greatereq(rat_3, rat_4) &  ~ rat_$greatereq(rat_0, rat_4/3) &  ~
% 47.80/7.22    rat_$greatereq(rat_0, rat_1/3) &  ~ rat_$greatereq(rat_0, rat_1/2) &  ~
% 47.80/7.22    rat_$greatereq(rat_0, rat_18) &  ~ rat_$greatereq(rat_0, rat_9) &  ~
% 47.80/7.22    rat_$greatereq(rat_0, rat_36) &  ~ rat_$greatereq(rat_0, rat_2/3) &  ~
% 47.80/7.22    rat_$greatereq(rat_0, rat_1/6) &  ~ rat_$greatereq(rat_0, rat_2) &  ~
% 47.80/7.22    rat_$greatereq(rat_0, rat_3/4) &  ~ rat_$greatereq(rat_0, rat_12) &  ~
% 47.80/7.22    rat_$greatereq(rat_0, rat_7) &  ~ rat_$greatereq(rat_0, rat_3/2) &  ~
% 47.80/7.22    rat_$greatereq(rat_0, rat_24) &  ~ rat_$greatereq(rat_0, rat_10) &  ~
% 47.80/7.22    rat_$greatereq(rat_0, rat_1) &  ~ rat_$greatereq(rat_0, rat_1/4) &  ~
% 47.80/7.22    rat_$greatereq(rat_0, rat_16) &  ~ rat_$greatereq(rat_0, rat_8) &  ~
% 47.80/7.22    rat_$greatereq(rat_0, rat_6) &  ~ rat_$greatereq(rat_0, rat_4) &  ~
% 47.80/7.22    rat_$greatereq(rat_0, rat_3) &  ~ rat_$greater(rat_very_small, rat_very_large)
% 47.80/7.22    &  ~ rat_$greater(rat_4/3, rat_4/3) &  ~ rat_$greater(rat_4/3, rat_18) &  ~
% 47.80/7.22    rat_$greater(rat_4/3, rat_9) &  ~ rat_$greater(rat_4/3, rat_36) &  ~
% 47.80/7.22    rat_$greater(rat_4/3, rat_2) &  ~ rat_$greater(rat_4/3, rat_12) &  ~
% 47.80/7.22    rat_$greater(rat_4/3, rat_7) &  ~ rat_$greater(rat_4/3, rat_3/2) &  ~
% 47.80/7.22    rat_$greater(rat_4/3, rat_24) &  ~ rat_$greater(rat_4/3, rat_10) &  ~
% 47.80/7.22    rat_$greater(rat_4/3, rat_16) &  ~ rat_$greater(rat_4/3, rat_8) &  ~
% 47.80/7.22    rat_$greater(rat_4/3, rat_6) &  ~ rat_$greater(rat_4/3, rat_4) &  ~
% 47.80/7.22    rat_$greater(rat_4/3, rat_3) &  ~ rat_$greater(rat_1/3, rat_4/3) &  ~
% 47.80/7.22    rat_$greater(rat_1/3, rat_1/3) &  ~ rat_$greater(rat_1/3, rat_1/2) &  ~
% 47.80/7.22    rat_$greater(rat_1/3, rat_18) &  ~ rat_$greater(rat_1/3, rat_9) &  ~
% 47.80/7.22    rat_$greater(rat_1/3, rat_36) &  ~ rat_$greater(rat_1/3, rat_2/3) &  ~
% 47.80/7.22    rat_$greater(rat_1/3, rat_2) &  ~ rat_$greater(rat_1/3, rat_3/4) &  ~
% 47.80/7.22    rat_$greater(rat_1/3, rat_12) &  ~ rat_$greater(rat_1/3, rat_7) &  ~
% 47.80/7.22    rat_$greater(rat_1/3, rat_3/2) &  ~ rat_$greater(rat_1/3, rat_24) &  ~
% 47.80/7.22    rat_$greater(rat_1/3, rat_10) &  ~ rat_$greater(rat_1/3, rat_1) &  ~
% 47.80/7.22    rat_$greater(rat_1/3, rat_16) &  ~ rat_$greater(rat_1/3, rat_8) &  ~
% 47.80/7.22    rat_$greater(rat_1/3, rat_6) &  ~ rat_$greater(rat_1/3, rat_4) &  ~
% 47.80/7.22    rat_$greater(rat_1/3, rat_3) &  ~ rat_$greater(rat_-1, rat_4/3) &  ~
% 47.80/7.22    rat_$greater(rat_-1, rat_1/3) &  ~ rat_$greater(rat_-1, rat_-1) &  ~
% 47.80/7.22    rat_$greater(rat_-1, rat_1/2) &  ~ rat_$greater(rat_-1, rat_18) &  ~
% 47.80/7.22    rat_$greater(rat_-1, rat_9) &  ~ rat_$greater(rat_-1, rat_36) &  ~
% 47.80/7.22    rat_$greater(rat_-1, rat_2/3) &  ~ rat_$greater(rat_-1, rat_1/6) &  ~
% 47.80/7.22    rat_$greater(rat_-1, rat_2) &  ~ rat_$greater(rat_-1, rat_3/4) &  ~
% 47.80/7.22    rat_$greater(rat_-1, rat_12) &  ~ rat_$greater(rat_-1, rat_7) &  ~
% 47.80/7.22    rat_$greater(rat_-1, rat_3/2) &  ~ rat_$greater(rat_-1, rat_24) &  ~
% 47.80/7.22    rat_$greater(rat_-1, rat_10) &  ~ rat_$greater(rat_-1, rat_1) &  ~
% 47.80/7.22    rat_$greater(rat_-1, rat_1/4) &  ~ rat_$greater(rat_-1, rat_16) &  ~
% 47.80/7.22    rat_$greater(rat_-1, rat_8) &  ~ rat_$greater(rat_-1, rat_6) &  ~
% 47.80/7.22    rat_$greater(rat_-1, rat_4) &  ~ rat_$greater(rat_-1, rat_3) &  ~
% 47.80/7.22    rat_$greater(rat_-1, rat_0) &  ~ rat_$greater(rat_-3, rat_4/3) &  ~
% 47.80/7.22    rat_$greater(rat_-3, rat_1/3) &  ~ rat_$greater(rat_-3, rat_-1) &  ~
% 47.80/7.22    rat_$greater(rat_-3, rat_-3) &  ~ rat_$greater(rat_-3, rat_1/2) &  ~
% 47.80/7.22    rat_$greater(rat_-3, rat_18) &  ~ rat_$greater(rat_-3, rat_9) &  ~
% 47.80/7.22    rat_$greater(rat_-3, rat_36) &  ~ rat_$greater(rat_-3, rat_2/3) &  ~
% 47.80/7.22    rat_$greater(rat_-3, rat_1/6) &  ~ rat_$greater(rat_-3, rat_2) &  ~
% 47.80/7.22    rat_$greater(rat_-3, rat_3/4) &  ~ rat_$greater(rat_-3, rat_12) &  ~
% 47.80/7.22    rat_$greater(rat_-3, rat_7) &  ~ rat_$greater(rat_-3, rat_3/2) &  ~
% 47.80/7.22    rat_$greater(rat_-3, rat_24) &  ~ rat_$greater(rat_-3, rat_-2) &  ~
% 47.80/7.22    rat_$greater(rat_-3, rat_10) &  ~ rat_$greater(rat_-3, rat_1) &  ~
% 47.80/7.22    rat_$greater(rat_-3, rat_1/4) &  ~ rat_$greater(rat_-3, rat_16) &  ~
% 47.80/7.22    rat_$greater(rat_-3, rat_8) &  ~ rat_$greater(rat_-3, rat_6) &  ~
% 47.80/7.22    rat_$greater(rat_-3, rat_4) &  ~ rat_$greater(rat_-3, rat_3) &  ~
% 47.80/7.22    rat_$greater(rat_-3, rat_0) &  ~ rat_$greater(rat_1/2, rat_4/3) &  ~
% 47.80/7.22    rat_$greater(rat_1/2, rat_1/2) &  ~ rat_$greater(rat_1/2, rat_18) &  ~
% 47.80/7.22    rat_$greater(rat_1/2, rat_9) &  ~ rat_$greater(rat_1/2, rat_36) &  ~
% 47.80/7.22    rat_$greater(rat_1/2, rat_2/3) &  ~ rat_$greater(rat_1/2, rat_2) &  ~
% 47.80/7.22    rat_$greater(rat_1/2, rat_3/4) &  ~ rat_$greater(rat_1/2, rat_12) &  ~
% 47.80/7.22    rat_$greater(rat_1/2, rat_7) &  ~ rat_$greater(rat_1/2, rat_3/2) &  ~
% 47.80/7.22    rat_$greater(rat_1/2, rat_24) &  ~ rat_$greater(rat_1/2, rat_10) &  ~
% 47.80/7.22    rat_$greater(rat_1/2, rat_1) &  ~ rat_$greater(rat_1/2, rat_16) &  ~
% 47.80/7.22    rat_$greater(rat_1/2, rat_8) &  ~ rat_$greater(rat_1/2, rat_6) &  ~
% 47.80/7.22    rat_$greater(rat_1/2, rat_4) &  ~ rat_$greater(rat_1/2, rat_3) &  ~
% 47.80/7.22    rat_$greater(rat_18, rat_18) &  ~ rat_$greater(rat_18, rat_36) &  ~
% 47.80/7.22    rat_$greater(rat_18, rat_24) &  ~ rat_$greater(rat_9, rat_18) &  ~
% 47.80/7.22    rat_$greater(rat_9, rat_9) &  ~ rat_$greater(rat_9, rat_36) &  ~
% 47.80/7.22    rat_$greater(rat_9, rat_12) &  ~ rat_$greater(rat_9, rat_24) &  ~
% 47.80/7.22    rat_$greater(rat_9, rat_10) &  ~ rat_$greater(rat_9, rat_16) &  ~
% 47.80/7.22    rat_$greater(rat_36, rat_36) &  ~ rat_$greater(rat_2/3, rat_4/3) &  ~
% 47.80/7.22    rat_$greater(rat_2/3, rat_18) &  ~ rat_$greater(rat_2/3, rat_9) &  ~
% 47.80/7.22    rat_$greater(rat_2/3, rat_36) &  ~ rat_$greater(rat_2/3, rat_2/3) &  ~
% 47.80/7.22    rat_$greater(rat_2/3, rat_2) &  ~ rat_$greater(rat_2/3, rat_3/4) &  ~
% 47.80/7.22    rat_$greater(rat_2/3, rat_12) &  ~ rat_$greater(rat_2/3, rat_7) &  ~
% 47.80/7.22    rat_$greater(rat_2/3, rat_3/2) &  ~ rat_$greater(rat_2/3, rat_24) &  ~
% 47.80/7.22    rat_$greater(rat_2/3, rat_10) &  ~ rat_$greater(rat_2/3, rat_1) &  ~
% 47.80/7.22    rat_$greater(rat_2/3, rat_16) &  ~ rat_$greater(rat_2/3, rat_8) &  ~
% 47.80/7.22    rat_$greater(rat_2/3, rat_6) &  ~ rat_$greater(rat_2/3, rat_4) &  ~
% 47.80/7.22    rat_$greater(rat_2/3, rat_3) &  ~ rat_$greater(rat_1/6, rat_4/3) &  ~
% 47.80/7.22    rat_$greater(rat_1/6, rat_1/3) &  ~ rat_$greater(rat_1/6, rat_1/2) &  ~
% 47.80/7.22    rat_$greater(rat_1/6, rat_18) &  ~ rat_$greater(rat_1/6, rat_9) &  ~
% 47.80/7.22    rat_$greater(rat_1/6, rat_36) &  ~ rat_$greater(rat_1/6, rat_2/3) &  ~
% 47.80/7.22    rat_$greater(rat_1/6, rat_1/6) &  ~ rat_$greater(rat_1/6, rat_2) &  ~
% 47.80/7.22    rat_$greater(rat_1/6, rat_3/4) &  ~ rat_$greater(rat_1/6, rat_12) &  ~
% 47.80/7.22    rat_$greater(rat_1/6, rat_7) &  ~ rat_$greater(rat_1/6, rat_3/2) &  ~
% 47.80/7.22    rat_$greater(rat_1/6, rat_24) &  ~ rat_$greater(rat_1/6, rat_10) &  ~
% 47.80/7.22    rat_$greater(rat_1/6, rat_1) &  ~ rat_$greater(rat_1/6, rat_1/4) &  ~
% 47.80/7.22    rat_$greater(rat_1/6, rat_16) &  ~ rat_$greater(rat_1/6, rat_8) &  ~
% 47.80/7.22    rat_$greater(rat_1/6, rat_6) &  ~ rat_$greater(rat_1/6, rat_4) &  ~
% 47.80/7.22    rat_$greater(rat_1/6, rat_3) &  ~ rat_$greater(rat_2, rat_18) &  ~
% 47.80/7.22    rat_$greater(rat_2, rat_9) &  ~ rat_$greater(rat_2, rat_36) &  ~
% 47.80/7.22    rat_$greater(rat_2, rat_2) &  ~ rat_$greater(rat_2, rat_12) &  ~
% 47.80/7.22    rat_$greater(rat_2, rat_7) &  ~ rat_$greater(rat_2, rat_24) &  ~
% 47.80/7.22    rat_$greater(rat_2, rat_10) &  ~ rat_$greater(rat_2, rat_16) &  ~
% 47.80/7.22    rat_$greater(rat_2, rat_8) &  ~ rat_$greater(rat_2, rat_6) &  ~
% 47.80/7.22    rat_$greater(rat_2, rat_4) &  ~ rat_$greater(rat_2, rat_3) &  ~
% 47.80/7.22    rat_$greater(rat_-6, rat_4/3) &  ~ rat_$greater(rat_-6, rat_1/3) &  ~
% 47.80/7.22    rat_$greater(rat_-6, rat_-1) &  ~ rat_$greater(rat_-6, rat_-3) &  ~
% 47.80/7.22    rat_$greater(rat_-6, rat_1/2) &  ~ rat_$greater(rat_-6, rat_18) &  ~
% 47.80/7.22    rat_$greater(rat_-6, rat_9) &  ~ rat_$greater(rat_-6, rat_36) &  ~
% 47.80/7.22    rat_$greater(rat_-6, rat_2/3) &  ~ rat_$greater(rat_-6, rat_1/6) &  ~
% 47.80/7.22    rat_$greater(rat_-6, rat_2) &  ~ rat_$greater(rat_-6, rat_-6) &  ~
% 47.80/7.22    rat_$greater(rat_-6, rat_3/4) &  ~ rat_$greater(rat_-6, rat_12) &  ~
% 47.80/7.22    rat_$greater(rat_-6, rat_7) &  ~ rat_$greater(rat_-6, rat_3/2) &  ~
% 47.80/7.22    rat_$greater(rat_-6, rat_24) &  ~ rat_$greater(rat_-6, rat_-2) &  ~
% 47.80/7.22    rat_$greater(rat_-6, rat_10) &  ~ rat_$greater(rat_-6, rat_1) &  ~
% 47.80/7.22    rat_$greater(rat_-6, rat_1/4) &  ~ rat_$greater(rat_-6, rat_16) &  ~
% 47.80/7.22    rat_$greater(rat_-6, rat_8) &  ~ rat_$greater(rat_-6, rat_-4) &  ~
% 47.80/7.22    rat_$greater(rat_-6, rat_6) &  ~ rat_$greater(rat_-6, rat_4) &  ~
% 47.80/7.22    rat_$greater(rat_-6, rat_3) &  ~ rat_$greater(rat_-6, rat_0) &  ~
% 47.80/7.22    rat_$greater(rat_3/4, rat_4/3) &  ~ rat_$greater(rat_3/4, rat_18) &  ~
% 47.80/7.22    rat_$greater(rat_3/4, rat_9) &  ~ rat_$greater(rat_3/4, rat_36) &  ~
% 47.80/7.22    rat_$greater(rat_3/4, rat_2) &  ~ rat_$greater(rat_3/4, rat_3/4) &  ~
% 47.80/7.22    rat_$greater(rat_3/4, rat_12) &  ~ rat_$greater(rat_3/4, rat_7) &  ~
% 47.80/7.22    rat_$greater(rat_3/4, rat_3/2) &  ~ rat_$greater(rat_3/4, rat_24) &  ~
% 47.80/7.22    rat_$greater(rat_3/4, rat_10) &  ~ rat_$greater(rat_3/4, rat_1) &  ~
% 47.80/7.22    rat_$greater(rat_3/4, rat_16) &  ~ rat_$greater(rat_3/4, rat_8) &  ~
% 47.80/7.22    rat_$greater(rat_3/4, rat_6) &  ~ rat_$greater(rat_3/4, rat_4) &  ~
% 47.80/7.22    rat_$greater(rat_3/4, rat_3) &  ~ rat_$greater(rat_12, rat_18) &  ~
% 47.80/7.22    rat_$greater(rat_12, rat_36) &  ~ rat_$greater(rat_12, rat_12) &  ~
% 47.80/7.22    rat_$greater(rat_12, rat_24) &  ~ rat_$greater(rat_12, rat_16) &  ~
% 47.80/7.22    rat_$greater(rat_7, rat_18) &  ~ rat_$greater(rat_7, rat_9) &  ~
% 47.80/7.22    rat_$greater(rat_7, rat_36) &  ~ rat_$greater(rat_7, rat_12) &  ~
% 47.80/7.22    rat_$greater(rat_7, rat_7) &  ~ rat_$greater(rat_7, rat_24) &  ~
% 47.80/7.22    rat_$greater(rat_7, rat_10) &  ~ rat_$greater(rat_7, rat_16) &  ~
% 47.80/7.22    rat_$greater(rat_7, rat_8) &  ~ rat_$greater(rat_3/2, rat_18) &  ~
% 47.80/7.22    rat_$greater(rat_3/2, rat_9) &  ~ rat_$greater(rat_3/2, rat_36) &  ~
% 47.80/7.22    rat_$greater(rat_3/2, rat_2) &  ~ rat_$greater(rat_3/2, rat_12) &  ~
% 47.80/7.22    rat_$greater(rat_3/2, rat_7) &  ~ rat_$greater(rat_3/2, rat_3/2) &  ~
% 47.80/7.22    rat_$greater(rat_3/2, rat_24) &  ~ rat_$greater(rat_3/2, rat_10) &  ~
% 47.80/7.22    rat_$greater(rat_3/2, rat_16) &  ~ rat_$greater(rat_3/2, rat_8) &  ~
% 47.80/7.22    rat_$greater(rat_3/2, rat_6) &  ~ rat_$greater(rat_3/2, rat_4) &  ~
% 47.80/7.22    rat_$greater(rat_3/2, rat_3) &  ~ rat_$greater(rat_24, rat_36) &  ~
% 47.80/7.22    rat_$greater(rat_24, rat_24) &  ~ rat_$greater(rat_-2, rat_4/3) &  ~
% 47.80/7.22    rat_$greater(rat_-2, rat_1/3) &  ~ rat_$greater(rat_-2, rat_-1) &  ~
% 47.80/7.22    rat_$greater(rat_-2, rat_1/2) &  ~ rat_$greater(rat_-2, rat_18) &  ~
% 47.80/7.22    rat_$greater(rat_-2, rat_9) &  ~ rat_$greater(rat_-2, rat_36) &  ~
% 47.80/7.22    rat_$greater(rat_-2, rat_2/3) &  ~ rat_$greater(rat_-2, rat_1/6) &  ~
% 47.80/7.22    rat_$greater(rat_-2, rat_2) &  ~ rat_$greater(rat_-2, rat_3/4) &  ~
% 47.80/7.22    rat_$greater(rat_-2, rat_12) &  ~ rat_$greater(rat_-2, rat_7) &  ~
% 47.80/7.22    rat_$greater(rat_-2, rat_3/2) &  ~ rat_$greater(rat_-2, rat_24) &  ~
% 47.80/7.22    rat_$greater(rat_-2, rat_-2) &  ~ rat_$greater(rat_-2, rat_10) &  ~
% 47.80/7.22    rat_$greater(rat_-2, rat_1) &  ~ rat_$greater(rat_-2, rat_1/4) &  ~
% 47.80/7.22    rat_$greater(rat_-2, rat_16) &  ~ rat_$greater(rat_-2, rat_8) &  ~
% 47.80/7.22    rat_$greater(rat_-2, rat_6) &  ~ rat_$greater(rat_-2, rat_4) &  ~
% 47.80/7.22    rat_$greater(rat_-2, rat_3) &  ~ rat_$greater(rat_-2, rat_0) &  ~
% 47.80/7.22    rat_$greater(rat_10, rat_18) &  ~ rat_$greater(rat_10, rat_36) &  ~
% 47.80/7.22    rat_$greater(rat_10, rat_12) &  ~ rat_$greater(rat_10, rat_24) &  ~
% 47.80/7.22    rat_$greater(rat_10, rat_10) &  ~ rat_$greater(rat_10, rat_16) &  ~
% 47.80/7.22    rat_$greater(rat_1, rat_4/3) &  ~ rat_$greater(rat_1, rat_18) &  ~
% 47.80/7.22    rat_$greater(rat_1, rat_9) &  ~ rat_$greater(rat_1, rat_36) &  ~
% 47.80/7.22    rat_$greater(rat_1, rat_2) &  ~ rat_$greater(rat_1, rat_12) &  ~
% 47.80/7.22    rat_$greater(rat_1, rat_7) &  ~ rat_$greater(rat_1, rat_3/2) &  ~
% 47.80/7.22    rat_$greater(rat_1, rat_24) &  ~ rat_$greater(rat_1, rat_10) &  ~
% 47.80/7.22    rat_$greater(rat_1, rat_1) &  ~ rat_$greater(rat_1, rat_16) &  ~
% 47.80/7.22    rat_$greater(rat_1, rat_8) &  ~ rat_$greater(rat_1, rat_6) &  ~
% 47.80/7.22    rat_$greater(rat_1, rat_4) &  ~ rat_$greater(rat_1, rat_3) &  ~
% 47.80/7.22    rat_$greater(rat_1/4, rat_4/3) &  ~ rat_$greater(rat_1/4, rat_1/3) &  ~
% 47.80/7.22    rat_$greater(rat_1/4, rat_1/2) &  ~ rat_$greater(rat_1/4, rat_18) &  ~
% 47.80/7.22    rat_$greater(rat_1/4, rat_9) &  ~ rat_$greater(rat_1/4, rat_36) &  ~
% 47.80/7.22    rat_$greater(rat_1/4, rat_2/3) &  ~ rat_$greater(rat_1/4, rat_2) &  ~
% 47.80/7.22    rat_$greater(rat_1/4, rat_3/4) &  ~ rat_$greater(rat_1/4, rat_12) &  ~
% 47.80/7.22    rat_$greater(rat_1/4, rat_7) &  ~ rat_$greater(rat_1/4, rat_3/2) &  ~
% 47.80/7.22    rat_$greater(rat_1/4, rat_24) &  ~ rat_$greater(rat_1/4, rat_10) &  ~
% 47.80/7.22    rat_$greater(rat_1/4, rat_1) &  ~ rat_$greater(rat_1/4, rat_1/4) &  ~
% 47.80/7.22    rat_$greater(rat_1/4, rat_16) &  ~ rat_$greater(rat_1/4, rat_8) &  ~
% 47.80/7.22    rat_$greater(rat_1/4, rat_6) &  ~ rat_$greater(rat_1/4, rat_4) &  ~
% 47.80/7.22    rat_$greater(rat_1/4, rat_3) &  ~ rat_$greater(rat_16, rat_18) &  ~
% 47.80/7.22    rat_$greater(rat_16, rat_36) &  ~ rat_$greater(rat_16, rat_24) &  ~
% 47.80/7.22    rat_$greater(rat_16, rat_16) &  ~ rat_$greater(rat_8, rat_18) &  ~
% 47.80/7.22    rat_$greater(rat_8, rat_9) &  ~ rat_$greater(rat_8, rat_36) &  ~
% 47.80/7.22    rat_$greater(rat_8, rat_12) &  ~ rat_$greater(rat_8, rat_24) &  ~
% 47.80/7.22    rat_$greater(rat_8, rat_10) &  ~ rat_$greater(rat_8, rat_16) &  ~
% 47.80/7.22    rat_$greater(rat_8, rat_8) &  ~ rat_$greater(rat_-4, rat_4/3) &  ~
% 47.80/7.22    rat_$greater(rat_-4, rat_1/3) &  ~ rat_$greater(rat_-4, rat_-1) &  ~
% 47.80/7.22    rat_$greater(rat_-4, rat_-3) &  ~ rat_$greater(rat_-4, rat_1/2) &  ~
% 47.80/7.22    rat_$greater(rat_-4, rat_18) &  ~ rat_$greater(rat_-4, rat_9) &  ~
% 47.80/7.22    rat_$greater(rat_-4, rat_36) &  ~ rat_$greater(rat_-4, rat_2/3) &  ~
% 47.80/7.22    rat_$greater(rat_-4, rat_1/6) &  ~ rat_$greater(rat_-4, rat_2) &  ~
% 47.80/7.22    rat_$greater(rat_-4, rat_3/4) &  ~ rat_$greater(rat_-4, rat_12) &  ~
% 47.80/7.22    rat_$greater(rat_-4, rat_7) &  ~ rat_$greater(rat_-4, rat_3/2) &  ~
% 47.80/7.22    rat_$greater(rat_-4, rat_24) &  ~ rat_$greater(rat_-4, rat_-2) &  ~
% 47.80/7.22    rat_$greater(rat_-4, rat_10) &  ~ rat_$greater(rat_-4, rat_1) &  ~
% 47.80/7.22    rat_$greater(rat_-4, rat_1/4) &  ~ rat_$greater(rat_-4, rat_16) &  ~
% 47.80/7.22    rat_$greater(rat_-4, rat_8) &  ~ rat_$greater(rat_-4, rat_-4) &  ~
% 47.80/7.22    rat_$greater(rat_-4, rat_6) &  ~ rat_$greater(rat_-4, rat_4) &  ~
% 47.80/7.22    rat_$greater(rat_-4, rat_3) &  ~ rat_$greater(rat_-4, rat_0) &  ~
% 47.80/7.22    rat_$greater(rat_6, rat_18) &  ~ rat_$greater(rat_6, rat_9) &  ~
% 47.80/7.22    rat_$greater(rat_6, rat_36) &  ~ rat_$greater(rat_6, rat_12) &  ~
% 47.80/7.22    rat_$greater(rat_6, rat_7) &  ~ rat_$greater(rat_6, rat_24) &  ~
% 47.80/7.22    rat_$greater(rat_6, rat_10) &  ~ rat_$greater(rat_6, rat_16) &  ~
% 47.80/7.22    rat_$greater(rat_6, rat_8) &  ~ rat_$greater(rat_6, rat_6) &  ~
% 47.80/7.22    rat_$greater(rat_4, rat_18) &  ~ rat_$greater(rat_4, rat_9) &  ~
% 47.80/7.22    rat_$greater(rat_4, rat_36) &  ~ rat_$greater(rat_4, rat_12) &  ~
% 47.80/7.22    rat_$greater(rat_4, rat_7) &  ~ rat_$greater(rat_4, rat_24) &  ~
% 47.80/7.22    rat_$greater(rat_4, rat_10) &  ~ rat_$greater(rat_4, rat_16) &  ~
% 47.80/7.22    rat_$greater(rat_4, rat_8) &  ~ rat_$greater(rat_4, rat_6) &  ~
% 47.80/7.22    rat_$greater(rat_4, rat_4) &  ~ rat_$greater(rat_3, rat_18) &  ~
% 47.80/7.22    rat_$greater(rat_3, rat_9) &  ~ rat_$greater(rat_3, rat_36) &  ~
% 47.80/7.22    rat_$greater(rat_3, rat_12) &  ~ rat_$greater(rat_3, rat_7) &  ~
% 47.80/7.22    rat_$greater(rat_3, rat_24) &  ~ rat_$greater(rat_3, rat_10) &  ~
% 47.80/7.22    rat_$greater(rat_3, rat_16) &  ~ rat_$greater(rat_3, rat_8) &  ~
% 47.80/7.22    rat_$greater(rat_3, rat_6) &  ~ rat_$greater(rat_3, rat_4) &  ~
% 47.80/7.22    rat_$greater(rat_3, rat_3) &  ~ rat_$greater(rat_0, rat_4/3) &  ~
% 47.80/7.22    rat_$greater(rat_0, rat_1/3) &  ~ rat_$greater(rat_0, rat_1/2) &  ~
% 47.80/7.22    rat_$greater(rat_0, rat_18) &  ~ rat_$greater(rat_0, rat_9) &  ~
% 47.80/7.22    rat_$greater(rat_0, rat_36) &  ~ rat_$greater(rat_0, rat_2/3) &  ~
% 47.80/7.22    rat_$greater(rat_0, rat_1/6) &  ~ rat_$greater(rat_0, rat_2) &  ~
% 47.80/7.22    rat_$greater(rat_0, rat_3/4) &  ~ rat_$greater(rat_0, rat_12) &  ~
% 47.80/7.22    rat_$greater(rat_0, rat_7) &  ~ rat_$greater(rat_0, rat_3/2) &  ~
% 47.80/7.22    rat_$greater(rat_0, rat_24) &  ~ rat_$greater(rat_0, rat_10) &  ~
% 47.80/7.22    rat_$greater(rat_0, rat_1) &  ~ rat_$greater(rat_0, rat_1/4) &  ~
% 47.80/7.22    rat_$greater(rat_0, rat_16) &  ~ rat_$greater(rat_0, rat_8) &  ~
% 47.80/7.22    rat_$greater(rat_0, rat_6) &  ~ rat_$greater(rat_0, rat_4) &  ~
% 47.80/7.22    rat_$greater(rat_0, rat_3) &  ~ rat_$greater(rat_0, rat_0) &  ~
% 47.80/7.22    rat_$lesseq(rat_4/3, rat_1/3) &  ~ rat_$lesseq(rat_4/3, rat_-1) &  ~
% 47.80/7.22    rat_$lesseq(rat_4/3, rat_-3) &  ~ rat_$lesseq(rat_4/3, rat_1/2) &  ~
% 47.80/7.22    rat_$lesseq(rat_4/3, rat_2/3) &  ~ rat_$lesseq(rat_4/3, rat_1/6) &  ~
% 47.80/7.22    rat_$lesseq(rat_4/3, rat_-6) &  ~ rat_$lesseq(rat_4/3, rat_3/4) &  ~
% 47.80/7.22    rat_$lesseq(rat_4/3, rat_-2) &  ~ rat_$lesseq(rat_4/3, rat_1) &  ~
% 47.80/7.22    rat_$lesseq(rat_4/3, rat_1/4) &  ~ rat_$lesseq(rat_4/3, rat_-4) &  ~
% 47.80/7.22    rat_$lesseq(rat_4/3, rat_0) &  ~ rat_$lesseq(rat_1/3, rat_-1) &  ~
% 47.80/7.22    rat_$lesseq(rat_1/3, rat_-3) &  ~ rat_$lesseq(rat_1/3, rat_1/6) &  ~
% 47.80/7.22    rat_$lesseq(rat_1/3, rat_-6) &  ~ rat_$lesseq(rat_1/3, rat_-2) &  ~
% 47.80/7.22    rat_$lesseq(rat_1/3, rat_1/4) &  ~ rat_$lesseq(rat_1/3, rat_-4) &  ~
% 47.80/7.22    rat_$lesseq(rat_1/3, rat_0) &  ~ rat_$lesseq(rat_-1, rat_-3) &  ~
% 47.80/7.22    rat_$lesseq(rat_-1, rat_-6) &  ~ rat_$lesseq(rat_-1, rat_-2) &  ~
% 47.80/7.22    rat_$lesseq(rat_-1, rat_-4) &  ~ rat_$lesseq(rat_-3, rat_-6) &  ~
% 47.80/7.22    rat_$lesseq(rat_-3, rat_-4) &  ~ rat_$lesseq(rat_1/2, rat_1/3) &  ~
% 47.80/7.22    rat_$lesseq(rat_1/2, rat_-1) &  ~ rat_$lesseq(rat_1/2, rat_-3) &  ~
% 47.80/7.22    rat_$lesseq(rat_1/2, rat_1/6) &  ~ rat_$lesseq(rat_1/2, rat_-6) &  ~
% 47.80/7.22    rat_$lesseq(rat_1/2, rat_-2) &  ~ rat_$lesseq(rat_1/2, rat_1/4) &  ~
% 47.80/7.22    rat_$lesseq(rat_1/2, rat_-4) &  ~ rat_$lesseq(rat_1/2, rat_0) &  ~
% 47.80/7.22    rat_$lesseq(rat_18, rat_4/3) &  ~ rat_$lesseq(rat_18, rat_1/3) &  ~
% 47.80/7.22    rat_$lesseq(rat_18, rat_-1) &  ~ rat_$lesseq(rat_18, rat_-3) &  ~
% 47.80/7.22    rat_$lesseq(rat_18, rat_1/2) &  ~ rat_$lesseq(rat_18, rat_9) &  ~
% 47.80/7.22    rat_$lesseq(rat_18, rat_2/3) &  ~ rat_$lesseq(rat_18, rat_1/6) &  ~
% 47.80/7.22    rat_$lesseq(rat_18, rat_2) &  ~ rat_$lesseq(rat_18, rat_-6) &  ~
% 47.80/7.22    rat_$lesseq(rat_18, rat_3/4) &  ~ rat_$lesseq(rat_18, rat_12) &  ~
% 47.80/7.22    rat_$lesseq(rat_18, rat_7) &  ~ rat_$lesseq(rat_18, rat_3/2) &  ~
% 47.80/7.22    rat_$lesseq(rat_18, rat_-2) &  ~ rat_$lesseq(rat_18, rat_10) &  ~
% 47.80/7.22    rat_$lesseq(rat_18, rat_1) &  ~ rat_$lesseq(rat_18, rat_1/4) &  ~
% 47.80/7.22    rat_$lesseq(rat_18, rat_16) &  ~ rat_$lesseq(rat_18, rat_8) &  ~
% 47.80/7.22    rat_$lesseq(rat_18, rat_-4) &  ~ rat_$lesseq(rat_18, rat_6) &  ~
% 47.80/7.22    rat_$lesseq(rat_18, rat_4) &  ~ rat_$lesseq(rat_18, rat_3) &  ~
% 47.80/7.22    rat_$lesseq(rat_18, rat_0) &  ~ rat_$lesseq(rat_9, rat_4/3) &  ~
% 47.80/7.22    rat_$lesseq(rat_9, rat_1/3) &  ~ rat_$lesseq(rat_9, rat_-1) &  ~
% 47.80/7.22    rat_$lesseq(rat_9, rat_-3) &  ~ rat_$lesseq(rat_9, rat_1/2) &  ~
% 47.80/7.22    rat_$lesseq(rat_9, rat_2/3) &  ~ rat_$lesseq(rat_9, rat_1/6) &  ~
% 47.80/7.22    rat_$lesseq(rat_9, rat_2) &  ~ rat_$lesseq(rat_9, rat_-6) &  ~
% 47.80/7.22    rat_$lesseq(rat_9, rat_3/4) &  ~ rat_$lesseq(rat_9, rat_7) &  ~
% 47.80/7.22    rat_$lesseq(rat_9, rat_3/2) &  ~ rat_$lesseq(rat_9, rat_-2) &  ~
% 47.80/7.22    rat_$lesseq(rat_9, rat_1) &  ~ rat_$lesseq(rat_9, rat_1/4) &  ~
% 47.80/7.22    rat_$lesseq(rat_9, rat_8) &  ~ rat_$lesseq(rat_9, rat_-4) &  ~
% 47.80/7.22    rat_$lesseq(rat_9, rat_6) &  ~ rat_$lesseq(rat_9, rat_4) &  ~
% 47.80/7.22    rat_$lesseq(rat_9, rat_3) &  ~ rat_$lesseq(rat_9, rat_0) &  ~
% 47.80/7.22    rat_$lesseq(rat_36, rat_4/3) &  ~ rat_$lesseq(rat_36, rat_1/3) &  ~
% 47.80/7.22    rat_$lesseq(rat_36, rat_-1) &  ~ rat_$lesseq(rat_36, rat_-3) &  ~
% 47.80/7.22    rat_$lesseq(rat_36, rat_1/2) &  ~ rat_$lesseq(rat_36, rat_18) &  ~
% 47.80/7.22    rat_$lesseq(rat_36, rat_9) &  ~ rat_$lesseq(rat_36, rat_2/3) &  ~
% 47.80/7.22    rat_$lesseq(rat_36, rat_1/6) &  ~ rat_$lesseq(rat_36, rat_2) &  ~
% 47.80/7.22    rat_$lesseq(rat_36, rat_-6) &  ~ rat_$lesseq(rat_36, rat_3/4) &  ~
% 47.80/7.22    rat_$lesseq(rat_36, rat_12) &  ~ rat_$lesseq(rat_36, rat_7) &  ~
% 47.80/7.22    rat_$lesseq(rat_36, rat_3/2) &  ~ rat_$lesseq(rat_36, rat_24) &  ~
% 47.80/7.22    rat_$lesseq(rat_36, rat_-2) &  ~ rat_$lesseq(rat_36, rat_10) &  ~
% 47.80/7.22    rat_$lesseq(rat_36, rat_1) &  ~ rat_$lesseq(rat_36, rat_1/4) &  ~
% 47.80/7.22    rat_$lesseq(rat_36, rat_16) &  ~ rat_$lesseq(rat_36, rat_8) &  ~
% 47.80/7.22    rat_$lesseq(rat_36, rat_-4) &  ~ rat_$lesseq(rat_36, rat_6) &  ~
% 47.80/7.22    rat_$lesseq(rat_36, rat_4) &  ~ rat_$lesseq(rat_36, rat_3) &  ~
% 47.80/7.22    rat_$lesseq(rat_36, rat_0) &  ~ rat_$lesseq(rat_2/3, rat_1/3) &  ~
% 47.80/7.22    rat_$lesseq(rat_2/3, rat_-1) &  ~ rat_$lesseq(rat_2/3, rat_-3) &  ~
% 47.80/7.22    rat_$lesseq(rat_2/3, rat_1/2) &  ~ rat_$lesseq(rat_2/3, rat_1/6) &  ~
% 47.80/7.22    rat_$lesseq(rat_2/3, rat_-6) &  ~ rat_$lesseq(rat_2/3, rat_-2) &  ~
% 47.80/7.22    rat_$lesseq(rat_2/3, rat_1/4) &  ~ rat_$lesseq(rat_2/3, rat_-4) &  ~
% 47.80/7.22    rat_$lesseq(rat_2/3, rat_0) &  ~ rat_$lesseq(rat_1/6, rat_-1) &  ~
% 47.80/7.22    rat_$lesseq(rat_1/6, rat_-3) &  ~ rat_$lesseq(rat_1/6, rat_-6) &  ~
% 47.80/7.22    rat_$lesseq(rat_1/6, rat_-2) &  ~ rat_$lesseq(rat_1/6, rat_-4) &  ~
% 47.80/7.22    rat_$lesseq(rat_1/6, rat_0) &  ~ rat_$lesseq(rat_2, rat_4/3) &  ~
% 47.80/7.22    rat_$lesseq(rat_2, rat_1/3) &  ~ rat_$lesseq(rat_2, rat_-1) &  ~
% 47.80/7.22    rat_$lesseq(rat_2, rat_-3) &  ~ rat_$lesseq(rat_2, rat_1/2) &  ~
% 47.80/7.22    rat_$lesseq(rat_2, rat_2/3) &  ~ rat_$lesseq(rat_2, rat_1/6) &  ~
% 47.80/7.22    rat_$lesseq(rat_2, rat_-6) &  ~ rat_$lesseq(rat_2, rat_3/4) &  ~
% 47.80/7.22    rat_$lesseq(rat_2, rat_3/2) &  ~ rat_$lesseq(rat_2, rat_-2) &  ~
% 47.80/7.22    rat_$lesseq(rat_2, rat_1) &  ~ rat_$lesseq(rat_2, rat_1/4) &  ~
% 47.80/7.22    rat_$lesseq(rat_2, rat_-4) &  ~ rat_$lesseq(rat_2, rat_0) &  ~
% 47.80/7.22    rat_$lesseq(rat_3/4, rat_1/3) &  ~ rat_$lesseq(rat_3/4, rat_-1) &  ~
% 47.80/7.22    rat_$lesseq(rat_3/4, rat_-3) &  ~ rat_$lesseq(rat_3/4, rat_1/2) &  ~
% 47.80/7.22    rat_$lesseq(rat_3/4, rat_2/3) &  ~ rat_$lesseq(rat_3/4, rat_1/6) &  ~
% 47.80/7.22    rat_$lesseq(rat_3/4, rat_-6) &  ~ rat_$lesseq(rat_3/4, rat_-2) &  ~
% 47.80/7.22    rat_$lesseq(rat_3/4, rat_1/4) &  ~ rat_$lesseq(rat_3/4, rat_-4) &  ~
% 47.80/7.22    rat_$lesseq(rat_3/4, rat_0) &  ~ rat_$lesseq(rat_12, rat_4/3) &  ~
% 47.80/7.22    rat_$lesseq(rat_12, rat_1/3) &  ~ rat_$lesseq(rat_12, rat_-1) &  ~
% 47.80/7.22    rat_$lesseq(rat_12, rat_-3) &  ~ rat_$lesseq(rat_12, rat_1/2) &  ~
% 47.80/7.22    rat_$lesseq(rat_12, rat_9) &  ~ rat_$lesseq(rat_12, rat_2/3) &  ~
% 47.80/7.22    rat_$lesseq(rat_12, rat_1/6) &  ~ rat_$lesseq(rat_12, rat_2) &  ~
% 47.80/7.22    rat_$lesseq(rat_12, rat_-6) &  ~ rat_$lesseq(rat_12, rat_3/4) &  ~
% 47.80/7.22    rat_$lesseq(rat_12, rat_7) &  ~ rat_$lesseq(rat_12, rat_3/2) &  ~
% 47.80/7.22    rat_$lesseq(rat_12, rat_-2) &  ~ rat_$lesseq(rat_12, rat_10) &  ~
% 47.80/7.22    rat_$lesseq(rat_12, rat_1) &  ~ rat_$lesseq(rat_12, rat_1/4) &  ~
% 47.80/7.22    rat_$lesseq(rat_12, rat_8) &  ~ rat_$lesseq(rat_12, rat_-4) &  ~
% 47.80/7.22    rat_$lesseq(rat_12, rat_6) &  ~ rat_$lesseq(rat_12, rat_4) &  ~
% 47.80/7.22    rat_$lesseq(rat_12, rat_3) &  ~ rat_$lesseq(rat_12, rat_0) &  ~
% 47.80/7.22    rat_$lesseq(rat_7, rat_4/3) &  ~ rat_$lesseq(rat_7, rat_1/3) &  ~
% 47.80/7.22    rat_$lesseq(rat_7, rat_-1) &  ~ rat_$lesseq(rat_7, rat_-3) &  ~
% 47.80/7.22    rat_$lesseq(rat_7, rat_1/2) &  ~ rat_$lesseq(rat_7, rat_2/3) &  ~
% 47.80/7.22    rat_$lesseq(rat_7, rat_1/6) &  ~ rat_$lesseq(rat_7, rat_2) &  ~
% 47.80/7.22    rat_$lesseq(rat_7, rat_-6) &  ~ rat_$lesseq(rat_7, rat_3/4) &  ~
% 47.80/7.22    rat_$lesseq(rat_7, rat_3/2) &  ~ rat_$lesseq(rat_7, rat_-2) &  ~
% 47.80/7.22    rat_$lesseq(rat_7, rat_1) &  ~ rat_$lesseq(rat_7, rat_1/4) &  ~
% 47.80/7.22    rat_$lesseq(rat_7, rat_-4) &  ~ rat_$lesseq(rat_7, rat_6) &  ~
% 47.80/7.22    rat_$lesseq(rat_7, rat_4) &  ~ rat_$lesseq(rat_7, rat_3) &  ~
% 47.80/7.22    rat_$lesseq(rat_7, rat_0) &  ~ rat_$lesseq(rat_3/2, rat_4/3) &  ~
% 47.80/7.22    rat_$lesseq(rat_3/2, rat_1/3) &  ~ rat_$lesseq(rat_3/2, rat_-1) &  ~
% 47.80/7.22    rat_$lesseq(rat_3/2, rat_-3) &  ~ rat_$lesseq(rat_3/2, rat_1/2) &  ~
% 47.80/7.22    rat_$lesseq(rat_3/2, rat_2/3) &  ~ rat_$lesseq(rat_3/2, rat_1/6) &  ~
% 47.80/7.22    rat_$lesseq(rat_3/2, rat_-6) &  ~ rat_$lesseq(rat_3/2, rat_3/4) &  ~
% 47.80/7.22    rat_$lesseq(rat_3/2, rat_-2) &  ~ rat_$lesseq(rat_3/2, rat_1) &  ~
% 47.80/7.22    rat_$lesseq(rat_3/2, rat_1/4) &  ~ rat_$lesseq(rat_3/2, rat_-4) &  ~
% 47.80/7.22    rat_$lesseq(rat_3/2, rat_0) &  ~ rat_$lesseq(rat_24, rat_4/3) &  ~
% 47.80/7.22    rat_$lesseq(rat_24, rat_1/3) &  ~ rat_$lesseq(rat_24, rat_-1) &  ~
% 47.80/7.22    rat_$lesseq(rat_24, rat_-3) &  ~ rat_$lesseq(rat_24, rat_1/2) &  ~
% 47.80/7.22    rat_$lesseq(rat_24, rat_18) &  ~ rat_$lesseq(rat_24, rat_9) &  ~
% 47.80/7.23    rat_$lesseq(rat_24, rat_2/3) &  ~ rat_$lesseq(rat_24, rat_1/6) &  ~
% 47.80/7.23    rat_$lesseq(rat_24, rat_2) &  ~ rat_$lesseq(rat_24, rat_-6) &  ~
% 47.80/7.23    rat_$lesseq(rat_24, rat_3/4) &  ~ rat_$lesseq(rat_24, rat_12) &  ~
% 47.80/7.23    rat_$lesseq(rat_24, rat_7) &  ~ rat_$lesseq(rat_24, rat_3/2) &  ~
% 47.80/7.23    rat_$lesseq(rat_24, rat_-2) &  ~ rat_$lesseq(rat_24, rat_10) &  ~
% 47.80/7.23    rat_$lesseq(rat_24, rat_1) &  ~ rat_$lesseq(rat_24, rat_1/4) &  ~
% 47.80/7.23    rat_$lesseq(rat_24, rat_16) &  ~ rat_$lesseq(rat_24, rat_8) &  ~
% 47.80/7.23    rat_$lesseq(rat_24, rat_-4) &  ~ rat_$lesseq(rat_24, rat_6) &  ~
% 47.80/7.23    rat_$lesseq(rat_24, rat_4) &  ~ rat_$lesseq(rat_24, rat_3) &  ~
% 47.80/7.23    rat_$lesseq(rat_24, rat_0) &  ~ rat_$lesseq(rat_-2, rat_-3) &  ~
% 47.80/7.23    rat_$lesseq(rat_-2, rat_-6) &  ~ rat_$lesseq(rat_-2, rat_-4) &  ~
% 47.80/7.23    rat_$lesseq(rat_10, rat_4/3) &  ~ rat_$lesseq(rat_10, rat_1/3) &  ~
% 47.80/7.23    rat_$lesseq(rat_10, rat_-1) &  ~ rat_$lesseq(rat_10, rat_-3) &  ~
% 47.80/7.23    rat_$lesseq(rat_10, rat_1/2) &  ~ rat_$lesseq(rat_10, rat_9) &  ~
% 47.80/7.23    rat_$lesseq(rat_10, rat_2/3) &  ~ rat_$lesseq(rat_10, rat_1/6) &  ~
% 47.80/7.23    rat_$lesseq(rat_10, rat_2) &  ~ rat_$lesseq(rat_10, rat_-6) &  ~
% 47.80/7.23    rat_$lesseq(rat_10, rat_3/4) &  ~ rat_$lesseq(rat_10, rat_7) &  ~
% 47.80/7.23    rat_$lesseq(rat_10, rat_3/2) &  ~ rat_$lesseq(rat_10, rat_-2) &  ~
% 47.80/7.23    rat_$lesseq(rat_10, rat_1) &  ~ rat_$lesseq(rat_10, rat_1/4) &  ~
% 47.80/7.23    rat_$lesseq(rat_10, rat_8) &  ~ rat_$lesseq(rat_10, rat_-4) &  ~
% 47.80/7.23    rat_$lesseq(rat_10, rat_6) &  ~ rat_$lesseq(rat_10, rat_4) &  ~
% 47.80/7.23    rat_$lesseq(rat_10, rat_3) &  ~ rat_$lesseq(rat_10, rat_0) &  ~
% 47.80/7.23    rat_$lesseq(rat_1, rat_1/3) &  ~ rat_$lesseq(rat_1, rat_-1) &  ~
% 47.80/7.23    rat_$lesseq(rat_1, rat_-3) &  ~ rat_$lesseq(rat_1, rat_1/2) &  ~
% 47.80/7.23    rat_$lesseq(rat_1, rat_2/3) &  ~ rat_$lesseq(rat_1, rat_1/6) &  ~
% 47.80/7.23    rat_$lesseq(rat_1, rat_-6) &  ~ rat_$lesseq(rat_1, rat_3/4) &  ~
% 47.80/7.23    rat_$lesseq(rat_1, rat_-2) &  ~ rat_$lesseq(rat_1, rat_1/4) &  ~
% 47.80/7.23    rat_$lesseq(rat_1, rat_-4) &  ~ rat_$lesseq(rat_1, rat_0) &  ~
% 47.80/7.23    rat_$lesseq(rat_1/4, rat_-1) &  ~ rat_$lesseq(rat_1/4, rat_-3) &  ~
% 47.80/7.23    rat_$lesseq(rat_1/4, rat_1/6) &  ~ rat_$lesseq(rat_1/4, rat_-6) &  ~
% 47.80/7.23    rat_$lesseq(rat_1/4, rat_-2) &  ~ rat_$lesseq(rat_1/4, rat_-4) &  ~
% 47.80/7.23    rat_$lesseq(rat_1/4, rat_0) &  ~ rat_$lesseq(rat_16, rat_4/3) &  ~
% 47.80/7.23    rat_$lesseq(rat_16, rat_1/3) &  ~ rat_$lesseq(rat_16, rat_-1) &  ~
% 47.80/7.23    rat_$lesseq(rat_16, rat_-3) &  ~ rat_$lesseq(rat_16, rat_1/2) &  ~
% 47.80/7.23    rat_$lesseq(rat_16, rat_9) &  ~ rat_$lesseq(rat_16, rat_2/3) &  ~
% 47.80/7.23    rat_$lesseq(rat_16, rat_1/6) &  ~ rat_$lesseq(rat_16, rat_2) &  ~
% 47.80/7.23    rat_$lesseq(rat_16, rat_-6) &  ~ rat_$lesseq(rat_16, rat_3/4) &  ~
% 47.80/7.23    rat_$lesseq(rat_16, rat_12) &  ~ rat_$lesseq(rat_16, rat_7) &  ~
% 47.80/7.23    rat_$lesseq(rat_16, rat_3/2) &  ~ rat_$lesseq(rat_16, rat_-2) &  ~
% 47.80/7.23    rat_$lesseq(rat_16, rat_10) &  ~ rat_$lesseq(rat_16, rat_1) &  ~
% 47.80/7.23    rat_$lesseq(rat_16, rat_1/4) &  ~ rat_$lesseq(rat_16, rat_8) &  ~
% 47.80/7.23    rat_$lesseq(rat_16, rat_-4) &  ~ rat_$lesseq(rat_16, rat_6) &  ~
% 47.80/7.23    rat_$lesseq(rat_16, rat_4) &  ~ rat_$lesseq(rat_16, rat_3) &  ~
% 47.80/7.23    rat_$lesseq(rat_16, rat_0) &  ~ rat_$lesseq(rat_8, rat_4/3) &  ~
% 47.80/7.23    rat_$lesseq(rat_8, rat_1/3) &  ~ rat_$lesseq(rat_8, rat_-1) &  ~
% 47.80/7.23    rat_$lesseq(rat_8, rat_-3) &  ~ rat_$lesseq(rat_8, rat_1/2) &  ~
% 47.80/7.23    rat_$lesseq(rat_8, rat_2/3) &  ~ rat_$lesseq(rat_8, rat_1/6) &  ~
% 47.80/7.23    rat_$lesseq(rat_8, rat_2) &  ~ rat_$lesseq(rat_8, rat_-6) &  ~
% 47.80/7.23    rat_$lesseq(rat_8, rat_3/4) &  ~ rat_$lesseq(rat_8, rat_7) &  ~
% 47.80/7.23    rat_$lesseq(rat_8, rat_3/2) &  ~ rat_$lesseq(rat_8, rat_-2) &  ~
% 47.80/7.23    rat_$lesseq(rat_8, rat_1) &  ~ rat_$lesseq(rat_8, rat_1/4) &  ~
% 47.80/7.23    rat_$lesseq(rat_8, rat_-4) &  ~ rat_$lesseq(rat_8, rat_6) &  ~
% 47.80/7.23    rat_$lesseq(rat_8, rat_4) &  ~ rat_$lesseq(rat_8, rat_3) &  ~
% 47.80/7.23    rat_$lesseq(rat_8, rat_0) &  ~ rat_$lesseq(rat_-4, rat_-6) &  ~
% 47.80/7.23    rat_$lesseq(rat_6, rat_4/3) &  ~ rat_$lesseq(rat_6, rat_1/3) &  ~
% 47.80/7.23    rat_$lesseq(rat_6, rat_-1) &  ~ rat_$lesseq(rat_6, rat_-3) &  ~
% 47.80/7.23    rat_$lesseq(rat_6, rat_1/2) &  ~ rat_$lesseq(rat_6, rat_2/3) &  ~
% 47.80/7.23    rat_$lesseq(rat_6, rat_1/6) &  ~ rat_$lesseq(rat_6, rat_2) &  ~
% 47.80/7.23    rat_$lesseq(rat_6, rat_-6) &  ~ rat_$lesseq(rat_6, rat_3/4) &  ~
% 47.80/7.23    rat_$lesseq(rat_6, rat_3/2) &  ~ rat_$lesseq(rat_6, rat_-2) &  ~
% 47.80/7.23    rat_$lesseq(rat_6, rat_1) &  ~ rat_$lesseq(rat_6, rat_1/4) &  ~
% 47.80/7.23    rat_$lesseq(rat_6, rat_-4) &  ~ rat_$lesseq(rat_6, rat_4) &  ~
% 47.80/7.23    rat_$lesseq(rat_6, rat_3) &  ~ rat_$lesseq(rat_6, rat_0) &  ~
% 47.80/7.23    rat_$lesseq(rat_4, rat_4/3) &  ~ rat_$lesseq(rat_4, rat_1/3) &  ~
% 47.80/7.23    rat_$lesseq(rat_4, rat_-1) &  ~ rat_$lesseq(rat_4, rat_-3) &  ~
% 47.80/7.23    rat_$lesseq(rat_4, rat_1/2) &  ~ rat_$lesseq(rat_4, rat_2/3) &  ~
% 47.80/7.23    rat_$lesseq(rat_4, rat_1/6) &  ~ rat_$lesseq(rat_4, rat_2) &  ~
% 47.80/7.23    rat_$lesseq(rat_4, rat_-6) &  ~ rat_$lesseq(rat_4, rat_3/4) &  ~
% 47.80/7.23    rat_$lesseq(rat_4, rat_3/2) &  ~ rat_$lesseq(rat_4, rat_-2) &  ~
% 47.80/7.23    rat_$lesseq(rat_4, rat_1) &  ~ rat_$lesseq(rat_4, rat_1/4) &  ~
% 47.80/7.23    rat_$lesseq(rat_4, rat_-4) &  ~ rat_$lesseq(rat_4, rat_3) &  ~
% 47.80/7.23    rat_$lesseq(rat_4, rat_0) &  ~ rat_$lesseq(rat_3, rat_4/3) &  ~
% 47.80/7.23    rat_$lesseq(rat_3, rat_1/3) &  ~ rat_$lesseq(rat_3, rat_-1) &  ~
% 47.80/7.23    rat_$lesseq(rat_3, rat_-3) &  ~ rat_$lesseq(rat_3, rat_1/2) &  ~
% 47.80/7.23    rat_$lesseq(rat_3, rat_2/3) &  ~ rat_$lesseq(rat_3, rat_1/6) &  ~
% 47.80/7.23    rat_$lesseq(rat_3, rat_2) &  ~ rat_$lesseq(rat_3, rat_-6) &  ~
% 47.80/7.23    rat_$lesseq(rat_3, rat_3/4) &  ~ rat_$lesseq(rat_3, rat_3/2) &  ~
% 47.80/7.23    rat_$lesseq(rat_3, rat_-2) &  ~ rat_$lesseq(rat_3, rat_1) &  ~
% 47.80/7.23    rat_$lesseq(rat_3, rat_1/4) &  ~ rat_$lesseq(rat_3, rat_-4) &  ~
% 47.80/7.23    rat_$lesseq(rat_3, rat_0) &  ~ rat_$lesseq(rat_0, rat_-1) &  ~
% 47.80/7.23    rat_$lesseq(rat_0, rat_-3) &  ~ rat_$lesseq(rat_0, rat_-6) &  ~
% 47.80/7.23    rat_$lesseq(rat_0, rat_-2) &  ~ rat_$lesseq(rat_0, rat_-4) &  ~
% 47.80/7.23    rat_$less(rat_4/3, rat_4/3) &  ~ rat_$less(rat_4/3, rat_1/3) &  ~
% 47.80/7.23    rat_$less(rat_4/3, rat_-1) &  ~ rat_$less(rat_4/3, rat_-3) &  ~
% 47.80/7.23    rat_$less(rat_4/3, rat_1/2) &  ~ rat_$less(rat_4/3, rat_2/3) &  ~
% 47.80/7.23    rat_$less(rat_4/3, rat_1/6) &  ~ rat_$less(rat_4/3, rat_-6) &  ~
% 47.80/7.23    rat_$less(rat_4/3, rat_3/4) &  ~ rat_$less(rat_4/3, rat_-2) &  ~
% 47.80/7.23    rat_$less(rat_4/3, rat_1) &  ~ rat_$less(rat_4/3, rat_1/4) &  ~
% 47.80/7.23    rat_$less(rat_4/3, rat_-4) &  ~ rat_$less(rat_4/3, rat_0) &  ~
% 47.80/7.23    rat_$less(rat_1/3, rat_1/3) &  ~ rat_$less(rat_1/3, rat_-1) &  ~
% 47.80/7.23    rat_$less(rat_1/3, rat_-3) &  ~ rat_$less(rat_1/3, rat_1/6) &  ~
% 47.80/7.23    rat_$less(rat_1/3, rat_-6) &  ~ rat_$less(rat_1/3, rat_-2) &  ~
% 47.80/7.23    rat_$less(rat_1/3, rat_1/4) &  ~ rat_$less(rat_1/3, rat_-4) &  ~
% 47.80/7.23    rat_$less(rat_1/3, rat_0) &  ~ rat_$less(rat_-1, rat_-1) &  ~
% 47.80/7.23    rat_$less(rat_-1, rat_-3) &  ~ rat_$less(rat_-1, rat_-6) &  ~
% 47.80/7.23    rat_$less(rat_-1, rat_-2) &  ~ rat_$less(rat_-1, rat_-4) &  ~
% 47.80/7.23    rat_$less(rat_-3, rat_-3) &  ~ rat_$less(rat_-3, rat_-6) &  ~
% 47.80/7.23    rat_$less(rat_-3, rat_-4) &  ~ rat_$less(rat_1/2, rat_1/3) &  ~
% 47.80/7.23    rat_$less(rat_1/2, rat_-1) &  ~ rat_$less(rat_1/2, rat_-3) &  ~
% 47.80/7.23    rat_$less(rat_1/2, rat_1/2) &  ~ rat_$less(rat_1/2, rat_1/6) &  ~
% 47.80/7.23    rat_$less(rat_1/2, rat_-6) &  ~ rat_$less(rat_1/2, rat_-2) &  ~
% 47.80/7.23    rat_$less(rat_1/2, rat_1/4) &  ~ rat_$less(rat_1/2, rat_-4) &  ~
% 47.80/7.23    rat_$less(rat_1/2, rat_0) &  ~ rat_$less(rat_18, rat_4/3) &  ~
% 47.80/7.23    rat_$less(rat_18, rat_1/3) &  ~ rat_$less(rat_18, rat_-1) &  ~
% 47.80/7.23    rat_$less(rat_18, rat_-3) &  ~ rat_$less(rat_18, rat_1/2) &  ~
% 47.80/7.23    rat_$less(rat_18, rat_18) &  ~ rat_$less(rat_18, rat_9) &  ~ rat_$less(rat_18,
% 47.80/7.23      rat_2/3) &  ~ rat_$less(rat_18, rat_1/6) &  ~ rat_$less(rat_18, rat_2) &  ~
% 47.80/7.23    rat_$less(rat_18, rat_-6) &  ~ rat_$less(rat_18, rat_3/4) &  ~
% 47.80/7.23    rat_$less(rat_18, rat_12) &  ~ rat_$less(rat_18, rat_7) &  ~ rat_$less(rat_18,
% 47.80/7.23      rat_3/2) &  ~ rat_$less(rat_18, rat_-2) &  ~ rat_$less(rat_18, rat_10) &  ~
% 47.80/7.23    rat_$less(rat_18, rat_1) &  ~ rat_$less(rat_18, rat_1/4) &  ~
% 47.80/7.23    rat_$less(rat_18, rat_16) &  ~ rat_$less(rat_18, rat_8) &  ~ rat_$less(rat_18,
% 47.80/7.23      rat_-4) &  ~ rat_$less(rat_18, rat_6) &  ~ rat_$less(rat_18, rat_4) &  ~
% 47.80/7.23    rat_$less(rat_18, rat_3) &  ~ rat_$less(rat_18, rat_0) &  ~ rat_$less(rat_9,
% 47.80/7.23      rat_4/3) &  ~ rat_$less(rat_9, rat_1/3) &  ~ rat_$less(rat_9, rat_-1) &  ~
% 47.80/7.23    rat_$less(rat_9, rat_-3) &  ~ rat_$less(rat_9, rat_1/2) &  ~ rat_$less(rat_9,
% 47.80/7.23      rat_9) &  ~ rat_$less(rat_9, rat_2/3) &  ~ rat_$less(rat_9, rat_1/6) &  ~
% 47.80/7.23    rat_$less(rat_9, rat_2) &  ~ rat_$less(rat_9, rat_-6) &  ~ rat_$less(rat_9,
% 47.80/7.23      rat_3/4) &  ~ rat_$less(rat_9, rat_7) &  ~ rat_$less(rat_9, rat_3/2) &  ~
% 47.80/7.23    rat_$less(rat_9, rat_-2) &  ~ rat_$less(rat_9, rat_1) &  ~ rat_$less(rat_9,
% 47.80/7.23      rat_1/4) &  ~ rat_$less(rat_9, rat_8) &  ~ rat_$less(rat_9, rat_-4) &  ~
% 47.80/7.23    rat_$less(rat_9, rat_6) &  ~ rat_$less(rat_9, rat_4) &  ~ rat_$less(rat_9,
% 47.80/7.23      rat_3) &  ~ rat_$less(rat_9, rat_0) &  ~ rat_$less(rat_36, rat_4/3) &  ~
% 47.80/7.23    rat_$less(rat_36, rat_1/3) &  ~ rat_$less(rat_36, rat_-1) &  ~
% 47.80/7.23    rat_$less(rat_36, rat_-3) &  ~ rat_$less(rat_36, rat_1/2) &  ~
% 47.80/7.23    rat_$less(rat_36, rat_18) &  ~ rat_$less(rat_36, rat_9) &  ~ rat_$less(rat_36,
% 47.80/7.23      rat_36) &  ~ rat_$less(rat_36, rat_2/3) &  ~ rat_$less(rat_36, rat_1/6) &  ~
% 47.80/7.23    rat_$less(rat_36, rat_2) &  ~ rat_$less(rat_36, rat_-6) &  ~ rat_$less(rat_36,
% 47.80/7.23      rat_3/4) &  ~ rat_$less(rat_36, rat_12) &  ~ rat_$less(rat_36, rat_7) &  ~
% 47.80/7.23    rat_$less(rat_36, rat_3/2) &  ~ rat_$less(rat_36, rat_24) &  ~
% 47.80/7.23    rat_$less(rat_36, rat_-2) &  ~ rat_$less(rat_36, rat_10) &  ~
% 47.80/7.23    rat_$less(rat_36, rat_1) &  ~ rat_$less(rat_36, rat_1/4) &  ~
% 47.80/7.23    rat_$less(rat_36, rat_16) &  ~ rat_$less(rat_36, rat_8) &  ~ rat_$less(rat_36,
% 47.80/7.23      rat_-4) &  ~ rat_$less(rat_36, rat_6) &  ~ rat_$less(rat_36, rat_4) &  ~
% 47.80/7.23    rat_$less(rat_36, rat_3) &  ~ rat_$less(rat_36, rat_0) &  ~ rat_$less(rat_2/3,
% 47.80/7.23      rat_1/3) &  ~ rat_$less(rat_2/3, rat_-1) &  ~ rat_$less(rat_2/3, rat_-3) & 
% 47.80/7.23    ~ rat_$less(rat_2/3, rat_1/2) &  ~ rat_$less(rat_2/3, rat_2/3) &  ~
% 47.80/7.23    rat_$less(rat_2/3, rat_1/6) &  ~ rat_$less(rat_2/3, rat_-6) &  ~
% 47.80/7.23    rat_$less(rat_2/3, rat_-2) &  ~ rat_$less(rat_2/3, rat_1/4) &  ~
% 47.80/7.23    rat_$less(rat_2/3, rat_-4) &  ~ rat_$less(rat_2/3, rat_0) &  ~
% 47.80/7.23    rat_$less(rat_1/6, rat_-1) &  ~ rat_$less(rat_1/6, rat_-3) &  ~
% 47.80/7.23    rat_$less(rat_1/6, rat_1/6) &  ~ rat_$less(rat_1/6, rat_-6) &  ~
% 47.80/7.23    rat_$less(rat_1/6, rat_-2) &  ~ rat_$less(rat_1/6, rat_-4) &  ~
% 47.80/7.23    rat_$less(rat_1/6, rat_0) &  ~ rat_$less(rat_2, rat_4/3) &  ~ rat_$less(rat_2,
% 47.80/7.23      rat_1/3) &  ~ rat_$less(rat_2, rat_-1) &  ~ rat_$less(rat_2, rat_-3) &  ~
% 47.80/7.23    rat_$less(rat_2, rat_1/2) &  ~ rat_$less(rat_2, rat_2/3) &  ~ rat_$less(rat_2,
% 47.80/7.23      rat_1/6) &  ~ rat_$less(rat_2, rat_2) &  ~ rat_$less(rat_2, rat_-6) &  ~
% 47.80/7.23    rat_$less(rat_2, rat_3/4) &  ~ rat_$less(rat_2, rat_3/2) &  ~ rat_$less(rat_2,
% 47.80/7.23      rat_-2) &  ~ rat_$less(rat_2, rat_1) &  ~ rat_$less(rat_2, rat_1/4) &  ~
% 47.80/7.23    rat_$less(rat_2, rat_-4) &  ~ rat_$less(rat_2, rat_0) &  ~ rat_$less(rat_-6,
% 47.80/7.23      rat_-6) &  ~ rat_$less(rat_3/4, rat_1/3) &  ~ rat_$less(rat_3/4, rat_-1) & 
% 47.80/7.23    ~ rat_$less(rat_3/4, rat_-3) &  ~ rat_$less(rat_3/4, rat_1/2) &  ~
% 47.80/7.23    rat_$less(rat_3/4, rat_2/3) &  ~ rat_$less(rat_3/4, rat_1/6) &  ~
% 47.80/7.23    rat_$less(rat_3/4, rat_-6) &  ~ rat_$less(rat_3/4, rat_3/4) &  ~
% 47.80/7.23    rat_$less(rat_3/4, rat_-2) &  ~ rat_$less(rat_3/4, rat_1/4) &  ~
% 47.80/7.23    rat_$less(rat_3/4, rat_-4) &  ~ rat_$less(rat_3/4, rat_0) &  ~
% 47.80/7.23    rat_$less(rat_12, rat_4/3) &  ~ rat_$less(rat_12, rat_1/3) &  ~
% 47.80/7.23    rat_$less(rat_12, rat_-1) &  ~ rat_$less(rat_12, rat_-3) &  ~
% 47.80/7.23    rat_$less(rat_12, rat_1/2) &  ~ rat_$less(rat_12, rat_9) &  ~
% 47.80/7.23    rat_$less(rat_12, rat_2/3) &  ~ rat_$less(rat_12, rat_1/6) &  ~
% 47.80/7.23    rat_$less(rat_12, rat_2) &  ~ rat_$less(rat_12, rat_-6) &  ~ rat_$less(rat_12,
% 47.80/7.23      rat_3/4) &  ~ rat_$less(rat_12, rat_12) &  ~ rat_$less(rat_12, rat_7) &  ~
% 47.80/7.23    rat_$less(rat_12, rat_3/2) &  ~ rat_$less(rat_12, rat_-2) &  ~
% 47.80/7.23    rat_$less(rat_12, rat_10) &  ~ rat_$less(rat_12, rat_1) &  ~ rat_$less(rat_12,
% 47.80/7.23      rat_1/4) &  ~ rat_$less(rat_12, rat_8) &  ~ rat_$less(rat_12, rat_-4) &  ~
% 47.80/7.23    rat_$less(rat_12, rat_6) &  ~ rat_$less(rat_12, rat_4) &  ~ rat_$less(rat_12,
% 47.80/7.23      rat_3) &  ~ rat_$less(rat_12, rat_0) &  ~ rat_$less(rat_7, rat_4/3) &  ~
% 47.80/7.23    rat_$less(rat_7, rat_1/3) &  ~ rat_$less(rat_7, rat_-1) &  ~ rat_$less(rat_7,
% 47.80/7.23      rat_-3) &  ~ rat_$less(rat_7, rat_1/2) &  ~ rat_$less(rat_7, rat_2/3) &  ~
% 47.80/7.23    rat_$less(rat_7, rat_1/6) &  ~ rat_$less(rat_7, rat_2) &  ~ rat_$less(rat_7,
% 47.80/7.23      rat_-6) &  ~ rat_$less(rat_7, rat_3/4) &  ~ rat_$less(rat_7, rat_7) &  ~
% 47.80/7.23    rat_$less(rat_7, rat_3/2) &  ~ rat_$less(rat_7, rat_-2) &  ~ rat_$less(rat_7,
% 47.80/7.23      rat_1) &  ~ rat_$less(rat_7, rat_1/4) &  ~ rat_$less(rat_7, rat_-4) &  ~
% 47.80/7.23    rat_$less(rat_7, rat_6) &  ~ rat_$less(rat_7, rat_4) &  ~ rat_$less(rat_7,
% 47.80/7.23      rat_3) &  ~ rat_$less(rat_7, rat_0) &  ~ rat_$less(rat_3/2, rat_4/3) &  ~
% 47.80/7.23    rat_$less(rat_3/2, rat_1/3) &  ~ rat_$less(rat_3/2, rat_-1) &  ~
% 47.80/7.23    rat_$less(rat_3/2, rat_-3) &  ~ rat_$less(rat_3/2, rat_1/2) &  ~
% 47.80/7.23    rat_$less(rat_3/2, rat_2/3) &  ~ rat_$less(rat_3/2, rat_1/6) &  ~
% 47.80/7.23    rat_$less(rat_3/2, rat_-6) &  ~ rat_$less(rat_3/2, rat_3/4) &  ~
% 47.80/7.23    rat_$less(rat_3/2, rat_3/2) &  ~ rat_$less(rat_3/2, rat_-2) &  ~
% 47.80/7.23    rat_$less(rat_3/2, rat_1) &  ~ rat_$less(rat_3/2, rat_1/4) &  ~
% 47.80/7.23    rat_$less(rat_3/2, rat_-4) &  ~ rat_$less(rat_3/2, rat_0) &  ~
% 47.80/7.23    rat_$less(rat_24, rat_4/3) &  ~ rat_$less(rat_24, rat_1/3) &  ~
% 47.80/7.23    rat_$less(rat_24, rat_-1) &  ~ rat_$less(rat_24, rat_-3) &  ~
% 47.80/7.23    rat_$less(rat_24, rat_1/2) &  ~ rat_$less(rat_24, rat_18) &  ~
% 47.80/7.23    rat_$less(rat_24, rat_9) &  ~ rat_$less(rat_24, rat_2/3) &  ~
% 47.80/7.23    rat_$less(rat_24, rat_1/6) &  ~ rat_$less(rat_24, rat_2) &  ~
% 47.80/7.23    rat_$less(rat_24, rat_-6) &  ~ rat_$less(rat_24, rat_3/4) &  ~
% 47.80/7.23    rat_$less(rat_24, rat_12) &  ~ rat_$less(rat_24, rat_7) &  ~ rat_$less(rat_24,
% 47.80/7.23      rat_3/2) &  ~ rat_$less(rat_24, rat_24) &  ~ rat_$less(rat_24, rat_-2) &  ~
% 47.80/7.23    rat_$less(rat_24, rat_10) &  ~ rat_$less(rat_24, rat_1) &  ~ rat_$less(rat_24,
% 47.80/7.23      rat_1/4) &  ~ rat_$less(rat_24, rat_16) &  ~ rat_$less(rat_24, rat_8) &  ~
% 47.80/7.23    rat_$less(rat_24, rat_-4) &  ~ rat_$less(rat_24, rat_6) &  ~ rat_$less(rat_24,
% 47.80/7.23      rat_4) &  ~ rat_$less(rat_24, rat_3) &  ~ rat_$less(rat_24, rat_0) &  ~
% 47.80/7.23    rat_$less(rat_-2, rat_-3) &  ~ rat_$less(rat_-2, rat_-6) &  ~
% 47.80/7.23    rat_$less(rat_-2, rat_-2) &  ~ rat_$less(rat_-2, rat_-4) &  ~
% 47.80/7.23    rat_$less(rat_10, rat_4/3) &  ~ rat_$less(rat_10, rat_1/3) &  ~
% 47.80/7.23    rat_$less(rat_10, rat_-1) &  ~ rat_$less(rat_10, rat_-3) &  ~
% 47.80/7.23    rat_$less(rat_10, rat_1/2) &  ~ rat_$less(rat_10, rat_9) &  ~
% 47.80/7.23    rat_$less(rat_10, rat_2/3) &  ~ rat_$less(rat_10, rat_1/6) &  ~
% 47.80/7.23    rat_$less(rat_10, rat_2) &  ~ rat_$less(rat_10, rat_-6) &  ~ rat_$less(rat_10,
% 47.80/7.23      rat_3/4) &  ~ rat_$less(rat_10, rat_7) &  ~ rat_$less(rat_10, rat_3/2) &  ~
% 47.80/7.23    rat_$less(rat_10, rat_-2) &  ~ rat_$less(rat_10, rat_10) &  ~
% 47.80/7.23    rat_$less(rat_10, rat_1) &  ~ rat_$less(rat_10, rat_1/4) &  ~
% 47.80/7.23    rat_$less(rat_10, rat_8) &  ~ rat_$less(rat_10, rat_-4) &  ~ rat_$less(rat_10,
% 47.80/7.23      rat_6) &  ~ rat_$less(rat_10, rat_4) &  ~ rat_$less(rat_10, rat_3) &  ~
% 47.80/7.23    rat_$less(rat_10, rat_0) &  ~ rat_$less(rat_1, rat_1/3) &  ~ rat_$less(rat_1,
% 47.80/7.23      rat_-1) &  ~ rat_$less(rat_1, rat_-3) &  ~ rat_$less(rat_1, rat_1/2) &  ~
% 47.80/7.23    rat_$less(rat_1, rat_2/3) &  ~ rat_$less(rat_1, rat_1/6) &  ~ rat_$less(rat_1,
% 47.80/7.23      rat_-6) &  ~ rat_$less(rat_1, rat_3/4) &  ~ rat_$less(rat_1, rat_-2) &  ~
% 47.80/7.23    rat_$less(rat_1, rat_1) &  ~ rat_$less(rat_1, rat_1/4) &  ~ rat_$less(rat_1,
% 47.80/7.23      rat_-4) &  ~ rat_$less(rat_1, rat_0) &  ~ rat_$less(rat_1/4, rat_-1) &  ~
% 47.80/7.23    rat_$less(rat_1/4, rat_-3) &  ~ rat_$less(rat_1/4, rat_1/6) &  ~
% 47.80/7.23    rat_$less(rat_1/4, rat_-6) &  ~ rat_$less(rat_1/4, rat_-2) &  ~
% 47.80/7.23    rat_$less(rat_1/4, rat_1/4) &  ~ rat_$less(rat_1/4, rat_-4) &  ~
% 47.80/7.23    rat_$less(rat_1/4, rat_0) &  ~ rat_$less(rat_16, rat_4/3) &  ~
% 47.80/7.23    rat_$less(rat_16, rat_1/3) &  ~ rat_$less(rat_16, rat_-1) &  ~
% 47.80/7.23    rat_$less(rat_16, rat_-3) &  ~ rat_$less(rat_16, rat_1/2) &  ~
% 47.80/7.23    rat_$less(rat_16, rat_9) &  ~ rat_$less(rat_16, rat_2/3) &  ~
% 47.80/7.23    rat_$less(rat_16, rat_1/6) &  ~ rat_$less(rat_16, rat_2) &  ~
% 47.80/7.23    rat_$less(rat_16, rat_-6) &  ~ rat_$less(rat_16, rat_3/4) &  ~
% 47.80/7.23    rat_$less(rat_16, rat_12) &  ~ rat_$less(rat_16, rat_7) &  ~ rat_$less(rat_16,
% 47.80/7.23      rat_3/2) &  ~ rat_$less(rat_16, rat_-2) &  ~ rat_$less(rat_16, rat_10) &  ~
% 47.80/7.23    rat_$less(rat_16, rat_1) &  ~ rat_$less(rat_16, rat_1/4) &  ~
% 47.80/7.23    rat_$less(rat_16, rat_16) &  ~ rat_$less(rat_16, rat_8) &  ~ rat_$less(rat_16,
% 47.80/7.23      rat_-4) &  ~ rat_$less(rat_16, rat_6) &  ~ rat_$less(rat_16, rat_4) &  ~
% 47.80/7.23    rat_$less(rat_16, rat_3) &  ~ rat_$less(rat_16, rat_0) &  ~ rat_$less(rat_8,
% 47.80/7.23      rat_4/3) &  ~ rat_$less(rat_8, rat_1/3) &  ~ rat_$less(rat_8, rat_-1) &  ~
% 47.80/7.23    rat_$less(rat_8, rat_-3) &  ~ rat_$less(rat_8, rat_1/2) &  ~ rat_$less(rat_8,
% 47.80/7.23      rat_2/3) &  ~ rat_$less(rat_8, rat_1/6) &  ~ rat_$less(rat_8, rat_2) &  ~
% 47.80/7.23    rat_$less(rat_8, rat_-6) &  ~ rat_$less(rat_8, rat_3/4) &  ~ rat_$less(rat_8,
% 47.80/7.23      rat_7) &  ~ rat_$less(rat_8, rat_3/2) &  ~ rat_$less(rat_8, rat_-2) &  ~
% 47.80/7.23    rat_$less(rat_8, rat_1) &  ~ rat_$less(rat_8, rat_1/4) &  ~ rat_$less(rat_8,
% 47.80/7.23      rat_8) &  ~ rat_$less(rat_8, rat_-4) &  ~ rat_$less(rat_8, rat_6) &  ~
% 47.80/7.23    rat_$less(rat_8, rat_4) &  ~ rat_$less(rat_8, rat_3) &  ~ rat_$less(rat_8,
% 47.80/7.23      rat_0) &  ~ rat_$less(rat_-4, rat_-6) &  ~ rat_$less(rat_-4, rat_-4) &  ~
% 47.80/7.23    rat_$less(rat_6, rat_4/3) &  ~ rat_$less(rat_6, rat_1/3) &  ~ rat_$less(rat_6,
% 47.80/7.23      rat_-1) &  ~ rat_$less(rat_6, rat_-3) &  ~ rat_$less(rat_6, rat_1/2) &  ~
% 47.80/7.23    rat_$less(rat_6, rat_2/3) &  ~ rat_$less(rat_6, rat_1/6) &  ~ rat_$less(rat_6,
% 47.80/7.23      rat_2) &  ~ rat_$less(rat_6, rat_-6) &  ~ rat_$less(rat_6, rat_3/4) &  ~
% 47.80/7.23    rat_$less(rat_6, rat_3/2) &  ~ rat_$less(rat_6, rat_-2) &  ~ rat_$less(rat_6,
% 47.80/7.23      rat_1) &  ~ rat_$less(rat_6, rat_1/4) &  ~ rat_$less(rat_6, rat_-4) &  ~
% 47.80/7.23    rat_$less(rat_6, rat_6) &  ~ rat_$less(rat_6, rat_4) &  ~ rat_$less(rat_6,
% 47.80/7.23      rat_3) &  ~ rat_$less(rat_6, rat_0) &  ~ rat_$less(rat_4, rat_4/3) &  ~
% 47.80/7.23    rat_$less(rat_4, rat_1/3) &  ~ rat_$less(rat_4, rat_-1) &  ~ rat_$less(rat_4,
% 47.80/7.23      rat_-3) &  ~ rat_$less(rat_4, rat_1/2) &  ~ rat_$less(rat_4, rat_2/3) &  ~
% 47.80/7.23    rat_$less(rat_4, rat_1/6) &  ~ rat_$less(rat_4, rat_2) &  ~ rat_$less(rat_4,
% 47.80/7.23      rat_-6) &  ~ rat_$less(rat_4, rat_3/4) &  ~ rat_$less(rat_4, rat_3/2) &  ~
% 47.80/7.23    rat_$less(rat_4, rat_-2) &  ~ rat_$less(rat_4, rat_1) &  ~ rat_$less(rat_4,
% 47.80/7.23      rat_1/4) &  ~ rat_$less(rat_4, rat_-4) &  ~ rat_$less(rat_4, rat_4) &  ~
% 47.80/7.23    rat_$less(rat_4, rat_3) &  ~ rat_$less(rat_4, rat_0) &  ~ rat_$less(rat_3,
% 47.80/7.23      rat_4/3) &  ~ rat_$less(rat_3, rat_1/3) &  ~ rat_$less(rat_3, rat_-1) &  ~
% 47.80/7.23    rat_$less(rat_3, rat_-3) &  ~ rat_$less(rat_3, rat_1/2) &  ~ rat_$less(rat_3,
% 47.80/7.23      rat_2/3) &  ~ rat_$less(rat_3, rat_1/6) &  ~ rat_$less(rat_3, rat_2) &  ~
% 47.80/7.23    rat_$less(rat_3, rat_-6) &  ~ rat_$less(rat_3, rat_3/4) &  ~ rat_$less(rat_3,
% 47.80/7.23      rat_3/2) &  ~ rat_$less(rat_3, rat_-2) &  ~ rat_$less(rat_3, rat_1) &  ~
% 47.80/7.23    rat_$less(rat_3, rat_1/4) &  ~ rat_$less(rat_3, rat_-4) &  ~ rat_$less(rat_3,
% 47.80/7.23      rat_3) &  ~ rat_$less(rat_3, rat_0) &  ~ rat_$less(rat_0, rat_-1) &  ~
% 47.80/7.23    rat_$less(rat_0, rat_-3) &  ~ rat_$less(rat_0, rat_-6) &  ~ rat_$less(rat_0,
% 47.80/7.23      rat_-2) &  ~ rat_$less(rat_0, rat_-4) &  ~ rat_$less(rat_0, rat_0) &  ! [v0:
% 47.80/7.23      $rat] :  ! [v1: $rat] :  ! [v2: $rat] :  ! [v3: $rat] :  ! [v4: $rat] : ( ~
% 47.80/7.23      (rat_$sum(v3, v0) = v4) |  ~ (rat_$sum(v2, v1) = v3) |  ? [v5: $rat] :
% 47.80/7.23      (rat_$sum(v2, v5) = v4 & rat_$sum(v1, v0) = v5)) &  ! [v0: $rat] :  ! [v1:
% 47.80/7.23      $rat] :  ! [v2: $rat] :  ! [v3: $rat] :  ! [v4: $rat] : ( ~ (rat_$sum(v2,
% 47.80/7.23          v3) = v4) |  ~ (rat_$sum(v1, v0) = v3) |  ? [v5: $rat] : (rat_$sum(v5,
% 47.80/7.23          v0) = v4 & rat_$sum(v2, v1) = v5)) &  ! [v0: $rat] :  ! [v1: $rat] :  !
% 47.80/7.23    [v2: $rat] :  ! [v3: $rat] : ( ~ (rat_$uminus(v0) = v2) |  ~ (rat_$sum(v1, v2)
% 47.80/7.23        = v3) | rat_$difference(v1, v0) = v3) &  ! [v0: $rat] :  ! [v1: $rat] :  !
% 47.80/7.23    [v2: $rat] : (v0 = rat_0 |  ~ (rat_$product(v1, v0) = v2) | rat_$quotient(v2,
% 47.80/7.23        v0) = v1) &  ! [v0: $rat] :  ! [v1: $rat] :  ! [v2: $rat] : ( ~
% 47.80/7.23      (rat_$difference(v1, v0) = v2) |  ? [v3: $rat] : (rat_$uminus(v0) = v3 &
% 47.80/7.23        rat_$sum(v1, v3) = v2)) &  ! [v0: $rat] :  ! [v1: $rat] :  ! [v2: $rat] :
% 47.80/7.23    ( ~ (rat_$product(v1, v0) = v2) | rat_$product(v0, v1) = v2) &  ! [v0: $rat] :
% 47.80/7.23     ! [v1: $rat] :  ! [v2: $rat] : ( ~ (rat_$product(v0, v1) = v2) |
% 47.80/7.23      rat_$product(v1, v0) = v2) &  ! [v0: $rat] :  ! [v1: $rat] :  ! [v2: $rat] :
% 47.80/7.23    ( ~ (rat_$sum(v1, v0) = v2) | rat_$sum(v0, v1) = v2) &  ! [v0: $rat] :  ! [v1:
% 47.80/7.23      $rat] :  ! [v2: $rat] : ( ~ (rat_$sum(v0, v1) = v2) | rat_$sum(v1, v0) = v2)
% 47.80/7.23    &  ! [v0: $rat] :  ! [v1: $rat] :  ! [v2: $rat] : ( ~ rat_$lesseq(v2, v1) |  ~
% 47.80/7.23      rat_$lesseq(v1, v0) | rat_$lesseq(v2, v0)) &  ! [v0: $rat] :  ! [v1: $rat] :
% 47.80/7.23     ! [v2: $rat] : ( ~ rat_$lesseq(v2, v1) |  ~ rat_$less(v1, v0) | rat_$less(v2,
% 47.80/7.23        v0)) &  ! [v0: $rat] :  ! [v1: $rat] :  ! [v2: $rat] : ( ~ rat_$lesseq(v1,
% 47.80/7.23        v0) |  ~ rat_$less(v2, v1) | rat_$less(v2, v0)) &  ! [v0: $rat] :  ! [v1:
% 47.80/7.23      $rat] : (v1 = v0 |  ~ (rat_$sum(v0, rat_0) = v1)) &  ! [v0: $rat] :  ! [v1:
% 47.80/7.23      $rat] : (v1 = v0 |  ~ rat_$lesseq(v1, v0) | rat_$less(v1, v0)) &  ! [v0:
% 47.80/7.23      $rat] :  ! [v1: $rat] : ( ~ (rat_$uminus(v0) = v1) | rat_$uminus(v1) = v0) &
% 47.80/7.23     ! [v0: $rat] :  ! [v1: $rat] : ( ~ (rat_$uminus(v0) = v1) | rat_$sum(v0, v1)
% 47.80/7.23      = rat_0) &  ! [v0: $rat] :  ! [v1: $rat] : ( ~ rat_$greatereq(v0, v1) |
% 47.80/7.23      rat_$lesseq(v1, v0)) &  ! [v0: $rat] :  ! [v1: $rat] : ( ~ rat_$greater(v0,
% 47.80/7.23        v1) | rat_$less(v1, v0)) &  ! [v0: $rat] :  ! [v1: $rat] : ( ~
% 47.80/7.23      rat_$lesseq(v1, v0) | rat_$greatereq(v0, v1)) &  ! [v0: $rat] :  ! [v1:
% 47.80/7.23      $rat] : ( ~ rat_$less(v1, v0) | rat_$greater(v0, v1)) &  ! [v0: $rat] :  !
% 47.80/7.23    [v1: $rat] : ( ~ rat_$less(v1, v0) | rat_$lesseq(v1, v0)) &  ! [v0: $rat] :
% 47.80/7.23    (v0 = rat_0 |  ~ (rat_$uminus(v0) = v0)) &  ? [v0: $rat] : rat_$lesseq(v0, v0)
% 47.80/7.23  
% 47.80/7.23  Those formulas are unsatisfiable:
% 47.80/7.23  ---------------------------------
% 47.80/7.23  
% 47.80/7.23  Begin of proof
% 47.80/7.23  | 
% 47.80/7.23  | ALPHA: (input) implies:
% 47.80/7.24  |   (1)  rat_$less(rat_0, rat_2/3)
% 47.80/7.24  |   (2)  rat_$less(rat_0, rat_1/2)
% 47.80/7.24  |   (3)  rat_$less(rat_4, rat_6)
% 47.80/7.24  |   (4)  rat_$sum(rat_2, rat_2) = rat_4
% 47.80/7.24  |   (5)  rat_$product(rat_3, rat_2/3) = rat_2
% 47.80/7.24  |   (6)  rat_$product(rat_4, rat_1/2) = rat_2
% 47.80/7.24  | 
% 47.80/7.24  | GROUND_INST: instantiating (ineq_sys_rat_solvable) with rat_2/3, rat_1/2,
% 47.80/7.24  |              rat_2, rat_2, rat_4, simplifying with (1), (2), (3), (4), (5),
% 47.80/7.24  |              (6) gives:
% 47.80/7.24  |   (7)  $false
% 47.80/7.24  | 
% 47.80/7.24  | CLOSE: (7) is inconsistent.
% 47.80/7.24  | 
% 47.80/7.24  End of proof
% 47.80/7.24  % SZS output end Proof for theBenchmark
% 47.80/7.24  
% 47.80/7.24  6616ms
%------------------------------------------------------------------------------