TSTP Solution File: ARI422_1 by Princess---230619

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : ARI422_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n018.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 17:47:59 EDT 2023

% Result   : Theorem 15.12s 2.86s
% Output   : Proof 22.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ARI422_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34  % Computer : n018.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 18:55:33 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.63  ________       _____
% 0.19/0.63  ___  __ \_________(_)________________________________
% 0.19/0.63  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.19/0.63  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.19/0.63  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.19/0.63  
% 0.19/0.63  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.63  (2023-06-19)
% 0.19/0.63  
% 0.19/0.63  (c) Philipp Rümmer, 2009-2023
% 0.19/0.63  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.63                Amanda Stjerna.
% 0.19/0.63  Free software under BSD-3-Clause.
% 0.19/0.63  
% 0.19/0.63  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.63  
% 0.19/0.64  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.19/0.65  Running up to 7 provers in parallel.
% 0.19/0.66  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.66  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.66  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.66  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.66  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.66  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.66  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.46/0.97  Prover 3: Warning: Problem contains reals, using incomplete axiomatisation
% 1.46/0.97  Prover 6: Warning: Problem contains reals, using incomplete axiomatisation
% 1.46/0.97  Prover 0: Warning: Problem contains reals, using incomplete axiomatisation
% 1.46/0.97  Prover 4: Warning: Problem contains reals, using incomplete axiomatisation
% 1.46/0.97  Prover 2: Warning: Problem contains reals, using incomplete axiomatisation
% 1.46/0.97  Prover 5: Warning: Problem contains reals, using incomplete axiomatisation
% 1.46/0.97  Prover 1: Warning: Problem contains reals, using incomplete axiomatisation
% 1.97/1.07  Prover 1: Preprocessing ...
% 1.97/1.07  Prover 4: Preprocessing ...
% 2.76/1.16  Prover 6: Preprocessing ...
% 2.76/1.16  Prover 0: Preprocessing ...
% 3.07/1.22  Prover 3: Preprocessing ...
% 3.07/1.22  Prover 5: Preprocessing ...
% 3.07/1.22  Prover 2: Preprocessing ...
% 7.00/1.79  Prover 1: Constructing countermodel ...
% 7.00/1.80  Prover 6: Proving ...
% 7.33/1.84  Prover 4: Constructing countermodel ...
% 7.33/1.89  Prover 0: Proving ...
% 10.12/2.19  Prover 1: gave up
% 10.60/2.22  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 10.60/2.23  Prover 7: Warning: Problem contains reals, using incomplete axiomatisation
% 11.04/2.32  Prover 7: Preprocessing ...
% 12.04/2.45  Prover 2: Proving ...
% 12.04/2.47  Prover 3: Constructing countermodel ...
% 12.80/2.56  Prover 5: Proving ...
% 14.55/2.78  Prover 7: Warning: ignoring some quantifiers
% 15.12/2.80  Prover 7: Constructing countermodel ...
% 15.12/2.86  Prover 0: proved (2206ms)
% 15.12/2.86  
% 15.12/2.86  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.12/2.86  
% 15.12/2.86  Prover 3: stopped
% 15.12/2.86  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 15.12/2.86  Prover 5: stopped
% 15.12/2.86  Prover 6: stopped
% 15.12/2.86  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 15.12/2.87  Prover 8: Warning: Problem contains reals, using incomplete axiomatisation
% 15.12/2.87  Prover 10: Warning: Problem contains reals, using incomplete axiomatisation
% 15.65/2.88  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 15.65/2.88  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 15.65/2.88  Prover 11: Warning: Problem contains reals, using incomplete axiomatisation
% 15.65/2.89  Prover 8: Preprocessing ...
% 15.65/2.90  Prover 13: Warning: Problem contains reals, using incomplete axiomatisation
% 15.65/2.91  Prover 13: Preprocessing ...
% 15.65/2.93  Prover 11: Preprocessing ...
% 15.65/2.94  Prover 10: Preprocessing ...
% 16.55/3.01  Prover 8: Warning: ignoring some quantifiers
% 16.55/3.02  Prover 8: Constructing countermodel ...
% 16.55/3.02  Prover 13: Warning: ignoring some quantifiers
% 16.55/3.04  Prover 13: Constructing countermodel ...
% 16.55/3.07  Prover 2: stopped
% 16.55/3.07  Prover 16: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 16.55/3.07  Prover 16: Warning: Problem contains reals, using incomplete axiomatisation
% 17.32/3.12  Prover 8: gave up
% 17.32/3.12  Prover 19: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 17.32/3.12  Prover 19: Warning: Problem contains reals, using incomplete axiomatisation
% 17.32/3.12  Prover 16: Preprocessing ...
% 17.32/3.15  Prover 13: gave up
% 17.32/3.17  Prover 19: Preprocessing ...
% 17.89/3.20  Prover 7: Found proof (size 3)
% 17.89/3.20  Prover 7: proved (980ms)
% 17.89/3.20  Prover 10: stopped
% 17.89/3.21  Prover 4: stopped
% 18.54/3.27  Prover 11: stopped
% 18.83/3.39  Prover 16: stopped
% 20.33/3.82  Prover 19: Warning: ignoring some quantifiers
% 21.01/3.83  Prover 19: Constructing countermodel ...
% 21.01/3.85  Prover 19: stopped
% 21.01/3.85  
% 21.01/3.85  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.01/3.85  
% 21.01/3.85  % SZS output start Proof for theBenchmark
% 21.01/3.85  Assumptions after simplification:
% 21.01/3.85  ---------------------------------
% 21.01/3.85  
% 21.01/3.85    (real_sum_problem_22)
% 21.01/3.89     ! [v0: $real] :  ~ (real_$sum(v0, real_-41/20) = real_7/2)
% 21.01/3.89  
% 21.01/3.89    (input)
% 21.69/4.05     ~ (real_very_large = real_very_small) &  ~ (real_very_large = real_1681/400)
% 21.69/4.05    &  ~ (real_very_large = real_-41/10) &  ~ (real_very_large = real_-70/41) &  ~
% 21.69/4.05    (real_very_large = real_-20/41) &  ~ (real_very_large = real_-111/20) &  ~
% 21.69/4.05    (real_very_large = real_41/20) &  ~ (real_very_large = real_-41/70) &  ~
% 21.69/4.05    (real_very_large = real_-287/40) &  ~ (real_very_large = real_111/20) &  ~
% 21.69/4.05    (real_very_large = real_29/20) &  ~ (real_very_large = real_1) &  ~
% 21.69/4.05    (real_very_large = real_2/7) &  ~ (real_very_large = real_49/4) &  ~
% 21.69/4.05    (real_very_large = real_7) &  ~ (real_very_large = real_-7/2) &  ~
% 21.69/4.05    (real_very_large = real_7/2) &  ~ (real_very_large = real_-41/20) &  ~
% 21.69/4.05    (real_very_large = real_0) &  ~ (real_very_small = real_1681/400) &  ~
% 21.69/4.05    (real_very_small = real_-41/10) &  ~ (real_very_small = real_-70/41) &  ~
% 21.69/4.05    (real_very_small = real_-20/41) &  ~ (real_very_small = real_-111/20) &  ~
% 21.69/4.05    (real_very_small = real_41/20) &  ~ (real_very_small = real_-41/70) &  ~
% 21.69/4.05    (real_very_small = real_-287/40) &  ~ (real_very_small = real_111/20) &  ~
% 21.69/4.05    (real_very_small = real_29/20) &  ~ (real_very_small = real_1) &  ~
% 21.69/4.05    (real_very_small = real_2/7) &  ~ (real_very_small = real_49/4) &  ~
% 21.69/4.05    (real_very_small = real_7) &  ~ (real_very_small = real_-7/2) &  ~
% 21.69/4.05    (real_very_small = real_7/2) &  ~ (real_very_small = real_-41/20) &  ~
% 21.69/4.05    (real_very_small = real_0) &  ~ (real_1681/400 = real_-41/10) &  ~
% 21.69/4.05    (real_1681/400 = real_-70/41) &  ~ (real_1681/400 = real_-20/41) &  ~
% 21.69/4.05    (real_1681/400 = real_-111/20) &  ~ (real_1681/400 = real_41/20) &  ~
% 21.69/4.05    (real_1681/400 = real_-41/70) &  ~ (real_1681/400 = real_-287/40) &  ~
% 21.69/4.05    (real_1681/400 = real_111/20) &  ~ (real_1681/400 = real_29/20) &  ~
% 21.69/4.05    (real_1681/400 = real_1) &  ~ (real_1681/400 = real_2/7) &  ~ (real_1681/400 =
% 21.69/4.05      real_49/4) &  ~ (real_1681/400 = real_7) &  ~ (real_1681/400 = real_-7/2) & 
% 21.69/4.05    ~ (real_1681/400 = real_7/2) &  ~ (real_1681/400 = real_-41/20) &  ~
% 21.69/4.05    (real_1681/400 = real_0) &  ~ (real_-41/10 = real_-70/41) &  ~ (real_-41/10 =
% 21.69/4.05      real_-20/41) &  ~ (real_-41/10 = real_-111/20) &  ~ (real_-41/10 =
% 21.69/4.05      real_41/20) &  ~ (real_-41/10 = real_-41/70) &  ~ (real_-41/10 =
% 21.69/4.05      real_-287/40) &  ~ (real_-41/10 = real_111/20) &  ~ (real_-41/10 =
% 21.69/4.05      real_29/20) &  ~ (real_-41/10 = real_1) &  ~ (real_-41/10 = real_2/7) &  ~
% 21.69/4.05    (real_-41/10 = real_49/4) &  ~ (real_-41/10 = real_7) &  ~ (real_-41/10 =
% 21.69/4.05      real_-7/2) &  ~ (real_-41/10 = real_7/2) &  ~ (real_-41/10 = real_-41/20) & 
% 21.69/4.05    ~ (real_-41/10 = real_0) &  ~ (real_-70/41 = real_-20/41) &  ~ (real_-70/41 =
% 21.69/4.05      real_-111/20) &  ~ (real_-70/41 = real_41/20) &  ~ (real_-70/41 =
% 21.69/4.05      real_-41/70) &  ~ (real_-70/41 = real_-287/40) &  ~ (real_-70/41 =
% 21.69/4.05      real_111/20) &  ~ (real_-70/41 = real_29/20) &  ~ (real_-70/41 = real_1) & 
% 21.69/4.05    ~ (real_-70/41 = real_2/7) &  ~ (real_-70/41 = real_49/4) &  ~ (real_-70/41 =
% 21.69/4.05      real_7) &  ~ (real_-70/41 = real_-7/2) &  ~ (real_-70/41 = real_7/2) &  ~
% 21.69/4.05    (real_-70/41 = real_-41/20) &  ~ (real_-70/41 = real_0) &  ~ (real_-20/41 =
% 21.69/4.05      real_-111/20) &  ~ (real_-20/41 = real_41/20) &  ~ (real_-20/41 =
% 21.69/4.05      real_-41/70) &  ~ (real_-20/41 = real_-287/40) &  ~ (real_-20/41 =
% 21.69/4.05      real_111/20) &  ~ (real_-20/41 = real_29/20) &  ~ (real_-20/41 = real_1) & 
% 21.69/4.05    ~ (real_-20/41 = real_2/7) &  ~ (real_-20/41 = real_49/4) &  ~ (real_-20/41 =
% 21.69/4.05      real_7) &  ~ (real_-20/41 = real_-7/2) &  ~ (real_-20/41 = real_7/2) &  ~
% 21.69/4.06    (real_-20/41 = real_-41/20) &  ~ (real_-20/41 = real_0) &  ~ (real_-111/20 =
% 21.69/4.06      real_41/20) &  ~ (real_-111/20 = real_-41/70) &  ~ (real_-111/20 =
% 21.69/4.06      real_-287/40) &  ~ (real_-111/20 = real_111/20) &  ~ (real_-111/20 =
% 21.69/4.06      real_29/20) &  ~ (real_-111/20 = real_1) &  ~ (real_-111/20 = real_2/7) &  ~
% 21.69/4.06    (real_-111/20 = real_49/4) &  ~ (real_-111/20 = real_7) &  ~ (real_-111/20 =
% 21.69/4.06      real_-7/2) &  ~ (real_-111/20 = real_7/2) &  ~ (real_-111/20 = real_-41/20)
% 21.69/4.06    &  ~ (real_-111/20 = real_0) &  ~ (real_41/20 = real_-41/70) &  ~ (real_41/20
% 21.69/4.06      = real_-287/40) &  ~ (real_41/20 = real_111/20) &  ~ (real_41/20 =
% 21.69/4.06      real_29/20) &  ~ (real_41/20 = real_1) &  ~ (real_41/20 = real_2/7) &  ~
% 21.69/4.06    (real_41/20 = real_49/4) &  ~ (real_41/20 = real_7) &  ~ (real_41/20 =
% 21.69/4.06      real_-7/2) &  ~ (real_41/20 = real_7/2) &  ~ (real_41/20 = real_-41/20) &  ~
% 21.69/4.06    (real_41/20 = real_0) &  ~ (real_-41/70 = real_-287/40) &  ~ (real_-41/70 =
% 21.69/4.06      real_111/20) &  ~ (real_-41/70 = real_29/20) &  ~ (real_-41/70 = real_1) & 
% 21.69/4.06    ~ (real_-41/70 = real_2/7) &  ~ (real_-41/70 = real_49/4) &  ~ (real_-41/70 =
% 21.69/4.06      real_7) &  ~ (real_-41/70 = real_-7/2) &  ~ (real_-41/70 = real_7/2) &  ~
% 21.69/4.06    (real_-41/70 = real_-41/20) &  ~ (real_-41/70 = real_0) &  ~ (real_-287/40 =
% 21.69/4.06      real_111/20) &  ~ (real_-287/40 = real_29/20) &  ~ (real_-287/40 = real_1) &
% 21.69/4.06     ~ (real_-287/40 = real_2/7) &  ~ (real_-287/40 = real_49/4) &  ~
% 21.69/4.06    (real_-287/40 = real_7) &  ~ (real_-287/40 = real_-7/2) &  ~ (real_-287/40 =
% 21.69/4.06      real_7/2) &  ~ (real_-287/40 = real_-41/20) &  ~ (real_-287/40 = real_0) & 
% 21.69/4.06    ~ (real_111/20 = real_29/20) &  ~ (real_111/20 = real_1) &  ~ (real_111/20 =
% 21.69/4.06      real_2/7) &  ~ (real_111/20 = real_49/4) &  ~ (real_111/20 = real_7) &  ~
% 21.69/4.06    (real_111/20 = real_-7/2) &  ~ (real_111/20 = real_7/2) &  ~ (real_111/20 =
% 21.69/4.06      real_-41/20) &  ~ (real_111/20 = real_0) &  ~ (real_29/20 = real_1) &  ~
% 21.69/4.06    (real_29/20 = real_2/7) &  ~ (real_29/20 = real_49/4) &  ~ (real_29/20 =
% 21.69/4.06      real_7) &  ~ (real_29/20 = real_-7/2) &  ~ (real_29/20 = real_7/2) &  ~
% 21.69/4.06    (real_29/20 = real_-41/20) &  ~ (real_29/20 = real_0) &  ~ (real_1 = real_2/7)
% 21.69/4.06    &  ~ (real_1 = real_49/4) &  ~ (real_1 = real_7) &  ~ (real_1 = real_-7/2) & 
% 21.69/4.06    ~ (real_1 = real_7/2) &  ~ (real_1 = real_-41/20) &  ~ (real_1 = real_0) &  ~
% 21.69/4.06    (real_2/7 = real_49/4) &  ~ (real_2/7 = real_7) &  ~ (real_2/7 = real_-7/2) & 
% 21.69/4.06    ~ (real_2/7 = real_7/2) &  ~ (real_2/7 = real_-41/20) &  ~ (real_2/7 = real_0)
% 21.69/4.06    &  ~ (real_49/4 = real_7) &  ~ (real_49/4 = real_-7/2) &  ~ (real_49/4 =
% 21.69/4.06      real_7/2) &  ~ (real_49/4 = real_-41/20) &  ~ (real_49/4 = real_0) &  ~
% 21.69/4.06    (real_7 = real_-7/2) &  ~ (real_7 = real_7/2) &  ~ (real_7 = real_-41/20) &  ~
% 21.69/4.06    (real_7 = real_0) &  ~ (real_-7/2 = real_7/2) &  ~ (real_-7/2 = real_-41/20) &
% 21.69/4.06     ~ (real_-7/2 = real_0) &  ~ (real_7/2 = real_-41/20) &  ~ (real_7/2 = real_0)
% 21.69/4.06    &  ~ (real_-41/20 = real_0) & real_$floor(real_29/20) = real_1 &
% 21.69/4.06    real_$floor(real_1) = real_1 & real_$floor(real_2/7) = real_0 &
% 21.69/4.06    real_$floor(real_7) = real_7 & real_$floor(real_0) = real_0 &
% 21.69/4.06    real_$ceiling(real_-20/41) = real_0 & real_$ceiling(real_-41/70) = real_0 &
% 21.69/4.06    real_$ceiling(real_1) = real_1 & real_$ceiling(real_2/7) = real_1 &
% 21.69/4.06    real_$ceiling(real_7) = real_7 & real_$ceiling(real_0) = real_0 &
% 21.69/4.06    real_$truncate(real_-20/41) = real_0 & real_$truncate(real_-41/70) = real_0 &
% 21.69/4.06    real_$truncate(real_29/20) = real_1 & real_$truncate(real_1) = real_1 &
% 21.69/4.06    real_$truncate(real_2/7) = real_0 & real_$truncate(real_7) = real_7 &
% 21.69/4.06    real_$truncate(real_0) = real_0 & real_$round(real_-20/41) = real_0 &
% 21.69/4.06    real_$round(real_29/20) = real_1 & real_$round(real_1) = real_1 &
% 21.69/4.06    real_$round(real_2/7) = real_0 & real_$round(real_7) = real_7 &
% 21.69/4.06    real_$round(real_0) = real_0 & real_$to_int(real_1681/400) = 4 &
% 21.69/4.06    real_$to_int(real_-41/10) = -5 & real_$to_int(real_-70/41) = -2 &
% 21.69/4.06    real_$to_int(real_-20/41) = -1 & real_$to_int(real_-111/20) = -6 &
% 21.69/4.06    real_$to_int(real_41/20) = 2 & real_$to_int(real_-41/70) = -1 &
% 21.69/4.06    real_$to_int(real_-287/40) = -8 & real_$to_int(real_111/20) = 5 &
% 21.69/4.06    real_$to_int(real_29/20) = 1 & real_$to_int(real_1) = 1 &
% 21.69/4.06    real_$to_int(real_2/7) = 0 & real_$to_int(real_49/4) = 12 &
% 21.69/4.06    real_$to_int(real_7) = 7 & real_$to_int(real_-7/2) = -4 &
% 21.69/4.06    real_$to_int(real_7/2) = 3 & real_$to_int(real_-41/20) = -3 &
% 21.69/4.06    real_$to_int(real_0) = 0 & real_$to_rat(real_1681/400) = rat_1681/400 &
% 21.69/4.06    real_$to_rat(real_-41/10) = rat_-41/10 & real_$to_rat(real_-70/41) =
% 21.69/4.06    rat_-70/41 & real_$to_rat(real_-20/41) = rat_-20/41 &
% 21.69/4.06    real_$to_rat(real_-111/20) = rat_-111/20 & real_$to_rat(real_41/20) =
% 21.69/4.06    rat_41/20 & real_$to_rat(real_-41/70) = rat_-41/70 &
% 21.69/4.06    real_$to_rat(real_-287/40) = rat_-287/40 & real_$to_rat(real_111/20) =
% 21.69/4.06    rat_111/20 & real_$to_rat(real_29/20) = rat_29/20 & real_$to_rat(real_1) =
% 21.69/4.06    rat_1 & real_$to_rat(real_2/7) = rat_2/7 & real_$to_rat(real_49/4) = rat_49/4
% 21.69/4.06    & real_$to_rat(real_7) = rat_7 & real_$to_rat(real_-7/2) = rat_-7/2 &
% 21.69/4.06    real_$to_rat(real_7/2) = rat_7/2 & real_$to_rat(real_-41/20) = rat_-41/20 &
% 21.69/4.06    real_$to_rat(real_0) = rat_0 & real_$to_real(real_1681/400) = real_1681/400 &
% 21.69/4.06    real_$to_real(real_-41/10) = real_-41/10 & real_$to_real(real_-70/41) =
% 21.69/4.06    real_-70/41 & real_$to_real(real_-20/41) = real_-20/41 &
% 21.69/4.06    real_$to_real(real_-111/20) = real_-111/20 & real_$to_real(real_41/20) =
% 21.69/4.06    real_41/20 & real_$to_real(real_-41/70) = real_-41/70 &
% 21.69/4.06    real_$to_real(real_-287/40) = real_-287/40 & real_$to_real(real_111/20) =
% 21.69/4.06    real_111/20 & real_$to_real(real_29/20) = real_29/20 & real_$to_real(real_1) =
% 21.69/4.06    real_1 & real_$to_real(real_2/7) = real_2/7 & real_$to_real(real_49/4) =
% 21.69/4.06    real_49/4 & real_$to_real(real_7) = real_7 & real_$to_real(real_-7/2) =
% 21.69/4.06    real_-7/2 & real_$to_real(real_7/2) = real_7/2 & real_$to_real(real_-41/20) =
% 21.69/4.06    real_-41/20 & real_$to_real(real_0) = real_0 & int_$to_real(7) = real_7 &
% 21.69/4.06    int_$to_real(1) = real_1 & int_$to_real(0) = real_0 &
% 21.69/4.06    real_$quotient(real_1681/400, real_1681/400) = real_1 &
% 21.69/4.06    real_$quotient(real_1681/400, real_41/20) = real_41/20 &
% 21.69/4.06    real_$quotient(real_1681/400, real_-41/70) = real_-287/40 &
% 21.69/4.06    real_$quotient(real_1681/400, real_-287/40) = real_-41/70 &
% 21.69/4.06    real_$quotient(real_1681/400, real_1) = real_1681/400 &
% 21.69/4.06    real_$quotient(real_1681/400, real_-41/20) = real_-41/20 &
% 21.69/4.06    real_$quotient(real_-41/10, real_-41/10) = real_1 &
% 21.69/4.06    real_$quotient(real_-41/10, real_-41/70) = real_7 &
% 21.69/4.06    real_$quotient(real_-41/10, real_1) = real_-41/10 &
% 21.69/4.06    real_$quotient(real_-41/10, real_7) = real_-41/70 &
% 21.69/4.06    real_$quotient(real_-70/41, real_-70/41) = real_1 &
% 21.69/4.06    real_$quotient(real_-70/41, real_-20/41) = real_7/2 &
% 21.69/4.06    real_$quotient(real_-70/41, real_1) = real_-70/41 &
% 21.69/4.06    real_$quotient(real_-70/41, real_7/2) = real_-20/41 &
% 21.69/4.06    real_$quotient(real_-20/41, real_-70/41) = real_2/7 &
% 21.69/4.06    real_$quotient(real_-20/41, real_-20/41) = real_1 &
% 21.69/4.06    real_$quotient(real_-20/41, real_1) = real_-20/41 &
% 21.69/4.06    real_$quotient(real_-20/41, real_2/7) = real_-70/41 &
% 21.69/4.06    real_$quotient(real_-111/20, real_-111/20) = real_1 &
% 21.69/4.06    real_$quotient(real_-111/20, real_1) = real_-111/20 &
% 21.69/4.06    real_$quotient(real_41/20, real_41/20) = real_1 & real_$quotient(real_41/20,
% 21.69/4.06      real_-41/70) = real_-7/2 & real_$quotient(real_41/20, real_1) = real_41/20 &
% 21.69/4.06    real_$quotient(real_41/20, real_-7/2) = real_-41/70 &
% 21.69/4.06    real_$quotient(real_-41/70, real_-41/70) = real_1 &
% 21.69/4.06    real_$quotient(real_-41/70, real_1) = real_-41/70 &
% 21.69/4.06    real_$quotient(real_-41/70, real_2/7) = real_-41/20 &
% 21.69/4.06    real_$quotient(real_-41/70, real_-41/20) = real_2/7 &
% 21.69/4.06    real_$quotient(real_-287/40, real_1681/400) = real_-70/41 &
% 21.69/4.06    real_$quotient(real_-287/40, real_-70/41) = real_1681/400 &
% 21.69/4.06    real_$quotient(real_-287/40, real_41/20) = real_-7/2 &
% 21.69/4.06    real_$quotient(real_-287/40, real_-41/70) = real_49/4 &
% 21.69/4.06    real_$quotient(real_-287/40, real_-287/40) = real_1 &
% 21.69/4.06    real_$quotient(real_-287/40, real_1) = real_-287/40 &
% 21.69/4.06    real_$quotient(real_-287/40, real_49/4) = real_-41/70 &
% 21.69/4.06    real_$quotient(real_-287/40, real_-7/2) = real_41/20 &
% 21.69/4.06    real_$quotient(real_-287/40, real_7/2) = real_-41/20 &
% 21.69/4.06    real_$quotient(real_-287/40, real_-41/20) = real_7/2 &
% 21.69/4.06    real_$quotient(real_111/20, real_111/20) = real_1 &
% 21.69/4.06    real_$quotient(real_111/20, real_1) = real_111/20 & real_$quotient(real_29/20,
% 21.69/4.06      real_29/20) = real_1 & real_$quotient(real_29/20, real_1) = real_29/20 &
% 21.69/4.06    real_$quotient(real_1, real_-70/41) = real_-41/70 & real_$quotient(real_1,
% 21.69/4.06      real_-20/41) = real_-41/20 & real_$quotient(real_1, real_-41/70) =
% 21.69/4.06    real_-70/41 & real_$quotient(real_1, real_1) = real_1 & real_$quotient(real_1,
% 21.69/4.06      real_2/7) = real_7/2 & real_$quotient(real_1, real_7/2) = real_2/7 &
% 21.69/4.06    real_$quotient(real_1, real_-41/20) = real_-20/41 & real_$quotient(real_2/7,
% 21.69/4.06      real_-20/41) = real_-41/70 & real_$quotient(real_2/7, real_-41/70) =
% 21.69/4.06    real_-20/41 & real_$quotient(real_2/7, real_1) = real_2/7 &
% 21.69/4.06    real_$quotient(real_2/7, real_2/7) = real_1 & real_$quotient(real_49/4,
% 21.69/4.06      real_-70/41) = real_-287/40 & real_$quotient(real_49/4, real_-287/40) =
% 21.69/4.06    real_-70/41 & real_$quotient(real_49/4, real_1) = real_49/4 &
% 21.69/4.06    real_$quotient(real_49/4, real_49/4) = real_1 & real_$quotient(real_49/4,
% 21.69/4.06      real_-7/2) = real_-7/2 & real_$quotient(real_49/4, real_7/2) = real_7/2 &
% 21.69/4.06    real_$quotient(real_7, real_-41/10) = real_-70/41 & real_$quotient(real_7,
% 21.69/4.06      real_-70/41) = real_-41/10 & real_$quotient(real_7, real_1) = real_7 &
% 21.69/4.06    real_$quotient(real_7, real_7) = real_1 & real_$quotient(real_-7/2,
% 21.69/4.06      real_-70/41) = real_41/20 & real_$quotient(real_-7/2, real_41/20) =
% 21.69/4.06    real_-70/41 & real_$quotient(real_-7/2, real_1) = real_-7/2 &
% 21.69/4.06    real_$quotient(real_-7/2, real_-7/2) = real_1 & real_$quotient(real_7/2,
% 21.69/4.06      real_-70/41) = real_-41/20 & real_$quotient(real_7/2, real_-20/41) =
% 21.69/4.06    real_-287/40 & real_$quotient(real_7/2, real_-287/40) = real_-20/41 &
% 21.69/4.06    real_$quotient(real_7/2, real_1) = real_7/2 & real_$quotient(real_7/2,
% 21.69/4.06      real_2/7) = real_49/4 & real_$quotient(real_7/2, real_49/4) = real_2/7 &
% 21.69/4.06    real_$quotient(real_7/2, real_7/2) = real_1 & real_$quotient(real_7/2,
% 21.69/4.06      real_-41/20) = real_-70/41 & real_$quotient(real_-41/20, real_1681/400) =
% 21.69/4.06    real_-20/41 & real_$quotient(real_-41/20, real_-20/41) = real_1681/400 &
% 21.69/4.06    real_$quotient(real_-41/20, real_-41/70) = real_7/2 &
% 21.69/4.06    real_$quotient(real_-41/20, real_-287/40) = real_2/7 &
% 21.69/4.06    real_$quotient(real_-41/20, real_1) = real_-41/20 &
% 21.69/4.06    real_$quotient(real_-41/20, real_2/7) = real_-287/40 &
% 21.69/4.06    real_$quotient(real_-41/20, real_7/2) = real_-41/70 &
% 21.69/4.06    real_$quotient(real_-41/20, real_-41/20) = real_1 & real_$quotient(real_0,
% 21.69/4.06      real_1681/400) = real_0 & real_$quotient(real_0, real_-41/10) = real_0 &
% 21.69/4.06    real_$quotient(real_0, real_-70/41) = real_0 & real_$quotient(real_0,
% 21.69/4.06      real_-20/41) = real_0 & real_$quotient(real_0, real_-111/20) = real_0 &
% 21.69/4.06    real_$quotient(real_0, real_41/20) = real_0 & real_$quotient(real_0,
% 21.69/4.06      real_-41/70) = real_0 & real_$quotient(real_0, real_-287/40) = real_0 &
% 21.69/4.06    real_$quotient(real_0, real_111/20) = real_0 & real_$quotient(real_0,
% 21.69/4.06      real_29/20) = real_0 & real_$quotient(real_0, real_1) = real_0 &
% 21.69/4.06    real_$quotient(real_0, real_2/7) = real_0 & real_$quotient(real_0, real_49/4)
% 21.69/4.06    = real_0 & real_$quotient(real_0, real_7) = real_0 & real_$quotient(real_0,
% 21.69/4.06      real_-7/2) = real_0 & real_$quotient(real_0, real_7/2) = real_0 &
% 21.69/4.06    real_$quotient(real_0, real_-41/20) = real_0 & real_$product(real_1681/400,
% 21.69/4.06      real_-70/41) = real_-287/40 & real_$product(real_1681/400, real_-20/41) =
% 21.69/4.06    real_-41/20 & real_$product(real_1681/400, real_1) = real_1681/400 &
% 21.69/4.06    real_$product(real_1681/400, real_0) = real_0 & real_$product(real_-41/10,
% 21.69/4.06      real_-70/41) = real_7 & real_$product(real_-41/10, real_1) = real_-41/10 &
% 21.69/4.06    real_$product(real_-41/10, real_0) = real_0 & real_$product(real_-70/41,
% 21.69/4.06      real_1681/400) = real_-287/40 & real_$product(real_-70/41, real_-41/10) =
% 21.69/4.06    real_7 & real_$product(real_-70/41, real_41/20) = real_-7/2 &
% 21.69/4.06    real_$product(real_-70/41, real_-41/70) = real_1 & real_$product(real_-70/41,
% 21.69/4.06      real_-287/40) = real_49/4 & real_$product(real_-70/41, real_1) = real_-70/41
% 21.69/4.06    & real_$product(real_-70/41, real_2/7) = real_-20/41 &
% 21.69/4.06    real_$product(real_-70/41, real_-41/20) = real_7/2 &
% 21.69/4.06    real_$product(real_-70/41, real_0) = real_0 & real_$product(real_-20/41,
% 21.69/4.06      real_1681/400) = real_-41/20 & real_$product(real_-20/41, real_-41/70) =
% 21.69/4.06    real_2/7 & real_$product(real_-20/41, real_-287/40) = real_7/2 &
% 21.69/4.06    real_$product(real_-20/41, real_1) = real_-20/41 & real_$product(real_-20/41,
% 21.69/4.06      real_7/2) = real_-70/41 & real_$product(real_-20/41, real_-41/20) = real_1 &
% 21.69/4.06    real_$product(real_-20/41, real_0) = real_0 & real_$product(real_-111/20,
% 21.69/4.06      real_1) = real_-111/20 & real_$product(real_-111/20, real_0) = real_0 &
% 21.69/4.06    real_$product(real_41/20, real_-70/41) = real_-7/2 & real_$product(real_41/20,
% 21.69/4.06      real_41/20) = real_1681/400 & real_$product(real_41/20, real_1) = real_41/20
% 21.69/4.06    & real_$product(real_41/20, real_-7/2) = real_-287/40 &
% 21.69/4.06    real_$product(real_41/20, real_0) = real_0 & real_$product(real_-41/70,
% 21.69/4.06      real_-70/41) = real_1 & real_$product(real_-41/70, real_-20/41) = real_2/7 &
% 21.69/4.06    real_$product(real_-41/70, real_-287/40) = real_1681/400 &
% 21.69/4.06    real_$product(real_-41/70, real_1) = real_-41/70 & real_$product(real_-41/70,
% 21.69/4.06      real_49/4) = real_-287/40 & real_$product(real_-41/70, real_7) = real_-41/10
% 21.69/4.06    & real_$product(real_-41/70, real_-7/2) = real_41/20 &
% 21.69/4.06    real_$product(real_-41/70, real_7/2) = real_-41/20 &
% 21.69/4.06    real_$product(real_-41/70, real_0) = real_0 & real_$product(real_-287/40,
% 21.69/4.06      real_-70/41) = real_49/4 & real_$product(real_-287/40, real_-20/41) =
% 21.69/4.06    real_7/2 & real_$product(real_-287/40, real_-41/70) = real_1681/400 &
% 21.69/4.06    real_$product(real_-287/40, real_1) = real_-287/40 &
% 21.69/4.06    real_$product(real_-287/40, real_2/7) = real_-41/20 &
% 21.69/4.06    real_$product(real_-287/40, real_0) = real_0 & real_$product(real_111/20,
% 21.69/4.06      real_1) = real_111/20 & real_$product(real_111/20, real_0) = real_0 &
% 21.69/4.06    real_$product(real_29/20, real_1) = real_29/20 & real_$product(real_29/20,
% 21.69/4.06      real_0) = real_0 & real_$product(real_1, real_1681/400) = real_1681/400 &
% 21.69/4.06    real_$product(real_1, real_-41/10) = real_-41/10 & real_$product(real_1,
% 21.69/4.06      real_-70/41) = real_-70/41 & real_$product(real_1, real_-20/41) =
% 21.69/4.06    real_-20/41 & real_$product(real_1, real_-111/20) = real_-111/20 &
% 21.69/4.06    real_$product(real_1, real_41/20) = real_41/20 & real_$product(real_1,
% 21.69/4.06      real_-41/70) = real_-41/70 & real_$product(real_1, real_-287/40) =
% 21.69/4.06    real_-287/40 & real_$product(real_1, real_111/20) = real_111/20 &
% 21.69/4.06    real_$product(real_1, real_29/20) = real_29/20 & real_$product(real_1, real_1)
% 21.69/4.06    = real_1 & real_$product(real_1, real_2/7) = real_2/7 & real_$product(real_1,
% 21.69/4.06      real_49/4) = real_49/4 & real_$product(real_1, real_7) = real_7 &
% 21.69/4.06    real_$product(real_1, real_-7/2) = real_-7/2 & real_$product(real_1, real_7/2)
% 21.69/4.06    = real_7/2 & real_$product(real_1, real_-41/20) = real_-41/20 &
% 21.69/4.06    real_$product(real_1, real_0) = real_0 & real_$product(real_2/7, real_-70/41)
% 21.69/4.06    = real_-20/41 & real_$product(real_2/7, real_-287/40) = real_-41/20 &
% 21.69/4.06    real_$product(real_2/7, real_1) = real_2/7 & real_$product(real_2/7,
% 21.69/4.06      real_49/4) = real_7/2 & real_$product(real_2/7, real_7/2) = real_1 &
% 21.69/4.06    real_$product(real_2/7, real_-41/20) = real_-41/70 & real_$product(real_2/7,
% 21.69/4.06      real_0) = real_0 & real_$product(real_49/4, real_-41/70) = real_-287/40 &
% 21.69/4.06    real_$product(real_49/4, real_1) = real_49/4 & real_$product(real_49/4,
% 21.69/4.06      real_2/7) = real_7/2 & real_$product(real_49/4, real_0) = real_0 &
% 21.69/4.06    real_$product(real_7, real_-41/70) = real_-41/10 & real_$product(real_7,
% 21.69/4.06      real_1) = real_7 & real_$product(real_7, real_0) = real_0 &
% 21.69/4.06    real_$product(real_-7/2, real_41/20) = real_-287/40 & real_$product(real_-7/2,
% 21.69/4.06      real_-41/70) = real_41/20 & real_$product(real_-7/2, real_1) = real_-7/2 &
% 21.69/4.06    real_$product(real_-7/2, real_-7/2) = real_49/4 & real_$product(real_-7/2,
% 21.69/4.06      real_0) = real_0 & real_$product(real_7/2, real_-20/41) = real_-70/41 &
% 21.69/4.06    real_$product(real_7/2, real_-41/70) = real_-41/20 & real_$product(real_7/2,
% 21.69/4.06      real_1) = real_7/2 & real_$product(real_7/2, real_2/7) = real_1 &
% 21.69/4.06    real_$product(real_7/2, real_7/2) = real_49/4 & real_$product(real_7/2,
% 21.69/4.06      real_-41/20) = real_-287/40 & real_$product(real_7/2, real_0) = real_0 &
% 21.69/4.06    real_$product(real_-41/20, real_-70/41) = real_7/2 &
% 21.69/4.06    real_$product(real_-41/20, real_-20/41) = real_1 & real_$product(real_-41/20,
% 21.69/4.06      real_1) = real_-41/20 & real_$product(real_-41/20, real_2/7) = real_-41/70 &
% 21.69/4.06    real_$product(real_-41/20, real_7/2) = real_-287/40 &
% 21.69/4.06    real_$product(real_-41/20, real_-41/20) = real_1681/400 &
% 21.69/4.06    real_$product(real_-41/20, real_0) = real_0 & real_$product(real_0,
% 21.69/4.06      real_1681/400) = real_0 & real_$product(real_0, real_-41/10) = real_0 &
% 21.69/4.06    real_$product(real_0, real_-70/41) = real_0 & real_$product(real_0,
% 21.69/4.06      real_-20/41) = real_0 & real_$product(real_0, real_-111/20) = real_0 &
% 21.69/4.06    real_$product(real_0, real_41/20) = real_0 & real_$product(real_0,
% 21.69/4.07      real_-41/70) = real_0 & real_$product(real_0, real_-287/40) = real_0 &
% 21.69/4.07    real_$product(real_0, real_111/20) = real_0 & real_$product(real_0,
% 21.69/4.07      real_29/20) = real_0 & real_$product(real_0, real_1) = real_0 &
% 21.69/4.07    real_$product(real_0, real_2/7) = real_0 & real_$product(real_0, real_49/4) =
% 21.69/4.07    real_0 & real_$product(real_0, real_7) = real_0 & real_$product(real_0,
% 21.69/4.07      real_-7/2) = real_0 & real_$product(real_0, real_7/2) = real_0 &
% 21.69/4.07    real_$product(real_0, real_-41/20) = real_0 & real_$product(real_0, real_0) =
% 21.69/4.07    real_0 & real_$difference(real_1681/400, real_1681/400) = real_0 &
% 21.69/4.07    real_$difference(real_1681/400, real_0) = real_1681/400 &
% 21.69/4.07    real_$difference(real_-41/10, real_-41/10) = real_0 &
% 21.69/4.07    real_$difference(real_-41/10, real_-111/20) = real_29/20 &
% 21.69/4.07    real_$difference(real_-41/10, real_29/20) = real_-111/20 &
% 21.69/4.07    real_$difference(real_-41/10, real_-41/20) = real_-41/20 &
% 21.69/4.07    real_$difference(real_-41/10, real_0) = real_-41/10 &
% 21.69/4.07    real_$difference(real_-70/41, real_-70/41) = real_0 &
% 21.69/4.07    real_$difference(real_-70/41, real_0) = real_-70/41 &
% 21.69/4.07    real_$difference(real_-20/41, real_-20/41) = real_0 &
% 21.69/4.07    real_$difference(real_-20/41, real_0) = real_-20/41 &
% 21.69/4.07    real_$difference(real_-111/20, real_-111/20) = real_0 &
% 21.69/4.07    real_$difference(real_-111/20, real_-7/2) = real_-41/20 &
% 21.69/4.07    real_$difference(real_-111/20, real_-41/20) = real_-7/2 &
% 21.69/4.07    real_$difference(real_-111/20, real_0) = real_-111/20 &
% 21.69/4.07    real_$difference(real_41/20, real_41/20) = real_0 &
% 21.69/4.07    real_$difference(real_41/20, real_111/20) = real_-7/2 &
% 21.69/4.07    real_$difference(real_41/20, real_-7/2) = real_111/20 &
% 21.69/4.07    real_$difference(real_41/20, real_0) = real_41/20 &
% 21.69/4.07    real_$difference(real_-41/70, real_-41/70) = real_0 &
% 21.69/4.07    real_$difference(real_-41/70, real_0) = real_-41/70 &
% 21.69/4.07    real_$difference(real_-287/40, real_-287/40) = real_0 &
% 21.69/4.07    real_$difference(real_-287/40, real_0) = real_-287/40 &
% 21.69/4.07    real_$difference(real_111/20, real_41/20) = real_7/2 &
% 21.69/4.07    real_$difference(real_111/20, real_111/20) = real_0 &
% 21.69/4.07    real_$difference(real_111/20, real_7/2) = real_41/20 &
% 21.69/4.07    real_$difference(real_111/20, real_0) = real_111/20 &
% 21.69/4.07    real_$difference(real_29/20, real_-41/10) = real_111/20 &
% 21.69/4.07    real_$difference(real_29/20, real_-111/20) = real_7 &
% 21.69/4.07    real_$difference(real_29/20, real_111/20) = real_-41/10 &
% 21.69/4.07    real_$difference(real_29/20, real_29/20) = real_0 &
% 21.69/4.07    real_$difference(real_29/20, real_7) = real_-111/20 &
% 21.69/4.07    real_$difference(real_29/20, real_7/2) = real_-41/20 &
% 21.69/4.07    real_$difference(real_29/20, real_-41/20) = real_7/2 &
% 21.69/4.07    real_$difference(real_29/20, real_0) = real_29/20 & real_$difference(real_1,
% 21.69/4.07      real_1) = real_0 & real_$difference(real_1, real_0) = real_1 &
% 21.69/4.07    real_$difference(real_2/7, real_2/7) = real_0 & real_$difference(real_2/7,
% 21.69/4.07      real_0) = real_2/7 & real_$difference(real_49/4, real_49/4) = real_0 &
% 21.69/4.07    real_$difference(real_49/4, real_0) = real_49/4 & real_$difference(real_7,
% 21.69/4.07      real_111/20) = real_29/20 & real_$difference(real_7, real_29/20) =
% 21.69/4.07    real_111/20 & real_$difference(real_7, real_7) = real_0 &
% 21.69/4.07    real_$difference(real_7, real_7/2) = real_7/2 & real_$difference(real_7,
% 21.69/4.07      real_0) = real_7 & real_$difference(real_-7/2, real_-111/20) = real_41/20 &
% 21.69/4.07    real_$difference(real_-7/2, real_41/20) = real_-111/20 &
% 21.69/4.07    real_$difference(real_-7/2, real_-7/2) = real_0 & real_$difference(real_-7/2,
% 21.69/4.07      real_0) = real_-7/2 & real_$difference(real_7/2, real_41/20) = real_29/20 &
% 21.69/4.07    real_$difference(real_7/2, real_111/20) = real_-41/20 &
% 21.69/4.07    real_$difference(real_7/2, real_29/20) = real_41/20 &
% 21.69/4.07    real_$difference(real_7/2, real_7) = real_-7/2 & real_$difference(real_7/2,
% 21.69/4.07      real_-7/2) = real_7 & real_$difference(real_7/2, real_7/2) = real_0 &
% 21.69/4.07    real_$difference(real_7/2, real_-41/20) = real_111/20 &
% 21.69/4.07    real_$difference(real_7/2, real_0) = real_7/2 & real_$difference(real_-41/20,
% 21.69/4.07      real_-41/10) = real_41/20 & real_$difference(real_-41/20, real_-111/20) =
% 21.69/4.07    real_7/2 & real_$difference(real_-41/20, real_41/20) = real_-41/10 &
% 21.69/4.07    real_$difference(real_-41/20, real_29/20) = real_-7/2 &
% 21.69/4.07    real_$difference(real_-41/20, real_-7/2) = real_29/20 &
% 21.69/4.07    real_$difference(real_-41/20, real_7/2) = real_-111/20 &
% 21.69/4.07    real_$difference(real_-41/20, real_-41/20) = real_0 &
% 21.69/4.07    real_$difference(real_-41/20, real_0) = real_-41/20 & real_$difference(real_0,
% 21.69/4.07      real_-111/20) = real_111/20 & real_$difference(real_0, real_41/20) =
% 21.69/4.07    real_-41/20 & real_$difference(real_0, real_111/20) = real_-111/20 &
% 21.69/4.07    real_$difference(real_0, real_-7/2) = real_7/2 & real_$difference(real_0,
% 21.69/4.07      real_7/2) = real_-7/2 & real_$difference(real_0, real_-41/20) = real_41/20 &
% 21.69/4.07    real_$difference(real_0, real_0) = real_0 & real_$uminus(real_-111/20) =
% 21.69/4.07    real_111/20 & real_$uminus(real_41/20) = real_-41/20 &
% 21.69/4.07    real_$uminus(real_111/20) = real_-111/20 & real_$uminus(real_-7/2) = real_7/2
% 21.69/4.07    & real_$uminus(real_7/2) = real_-7/2 & real_$uminus(real_-41/20) = real_41/20
% 21.69/4.07    & real_$uminus(real_0) = real_0 & real_$sum(real_1681/400, real_0) =
% 21.69/4.07    real_1681/400 & real_$sum(real_-41/10, real_41/20) = real_-41/20 &
% 21.69/4.07    real_$sum(real_-41/10, real_111/20) = real_29/20 & real_$sum(real_-41/10,
% 21.69/4.07      real_0) = real_-41/10 & real_$sum(real_-70/41, real_0) = real_-70/41 &
% 21.69/4.07    real_$sum(real_-20/41, real_0) = real_-20/41 & real_$sum(real_-111/20,
% 21.69/4.07      real_41/20) = real_-7/2 & real_$sum(real_-111/20, real_111/20) = real_0 &
% 21.69/4.07    real_$sum(real_-111/20, real_29/20) = real_-41/10 & real_$sum(real_-111/20,
% 21.69/4.07      real_7) = real_29/20 & real_$sum(real_-111/20, real_7/2) = real_-41/20 &
% 21.69/4.07    real_$sum(real_-111/20, real_0) = real_-111/20 & real_$sum(real_41/20,
% 21.69/4.07      real_-41/10) = real_-41/20 & real_$sum(real_41/20, real_-111/20) = real_-7/2
% 21.69/4.07    & real_$sum(real_41/20, real_29/20) = real_7/2 & real_$sum(real_41/20,
% 21.69/4.07      real_7/2) = real_111/20 & real_$sum(real_41/20, real_-41/20) = real_0 &
% 21.69/4.07    real_$sum(real_41/20, real_0) = real_41/20 & real_$sum(real_-41/70, real_0) =
% 21.69/4.07    real_-41/70 & real_$sum(real_-287/40, real_0) = real_-287/40 &
% 21.69/4.07    real_$sum(real_111/20, real_-41/10) = real_29/20 & real_$sum(real_111/20,
% 21.69/4.07      real_-111/20) = real_0 & real_$sum(real_111/20, real_29/20) = real_7 &
% 21.69/4.07    real_$sum(real_111/20, real_-7/2) = real_41/20 & real_$sum(real_111/20,
% 21.69/4.07      real_-41/20) = real_7/2 & real_$sum(real_111/20, real_0) = real_111/20 &
% 21.69/4.07    real_$sum(real_29/20, real_-111/20) = real_-41/10 & real_$sum(real_29/20,
% 21.69/4.07      real_41/20) = real_7/2 & real_$sum(real_29/20, real_111/20) = real_7 &
% 21.69/4.07    real_$sum(real_29/20, real_-7/2) = real_-41/20 & real_$sum(real_29/20, real_0)
% 21.69/4.07    = real_29/20 & real_$sum(real_1, real_0) = real_1 & real_$sum(real_2/7,
% 21.69/4.07      real_0) = real_2/7 & real_$sum(real_49/4, real_0) = real_49/4 &
% 21.69/4.07    real_$sum(real_7, real_-111/20) = real_29/20 & real_$sum(real_7, real_-7/2) =
% 21.69/4.07    real_7/2 & real_$sum(real_7, real_0) = real_7 & real_$sum(real_-7/2,
% 21.69/4.07      real_111/20) = real_41/20 & real_$sum(real_-7/2, real_29/20) = real_-41/20 &
% 21.69/4.07    real_$sum(real_-7/2, real_7) = real_7/2 & real_$sum(real_-7/2, real_7/2) =
% 21.69/4.07    real_0 & real_$sum(real_-7/2, real_-41/20) = real_-111/20 &
% 21.69/4.07    real_$sum(real_-7/2, real_0) = real_-7/2 & real_$sum(real_7/2, real_-111/20) =
% 21.69/4.07    real_-41/20 & real_$sum(real_7/2, real_41/20) = real_111/20 &
% 21.69/4.07    real_$sum(real_7/2, real_-7/2) = real_0 & real_$sum(real_7/2, real_7/2) =
% 21.69/4.07    real_7 & real_$sum(real_7/2, real_-41/20) = real_29/20 & real_$sum(real_7/2,
% 21.69/4.07      real_0) = real_7/2 & real_$sum(real_-41/20, real_41/20) = real_0 &
% 21.69/4.07    real_$sum(real_-41/20, real_111/20) = real_7/2 & real_$sum(real_-41/20,
% 21.69/4.07      real_-7/2) = real_-111/20 & real_$sum(real_-41/20, real_7/2) = real_29/20 &
% 21.69/4.07    real_$sum(real_-41/20, real_-41/20) = real_-41/10 & real_$sum(real_-41/20,
% 21.69/4.07      real_0) = real_-41/20 & real_$sum(real_0, real_1681/400) = real_1681/400 &
% 21.69/4.07    real_$sum(real_0, real_-41/10) = real_-41/10 & real_$sum(real_0, real_-70/41)
% 21.69/4.07    = real_-70/41 & real_$sum(real_0, real_-20/41) = real_-20/41 &
% 21.69/4.07    real_$sum(real_0, real_-111/20) = real_-111/20 & real_$sum(real_0, real_41/20)
% 21.69/4.07    = real_41/20 & real_$sum(real_0, real_-41/70) = real_-41/70 &
% 21.69/4.07    real_$sum(real_0, real_-287/40) = real_-287/40 & real_$sum(real_0,
% 21.69/4.07      real_111/20) = real_111/20 & real_$sum(real_0, real_29/20) = real_29/20 &
% 21.69/4.07    real_$sum(real_0, real_1) = real_1 & real_$sum(real_0, real_2/7) = real_2/7 &
% 21.69/4.07    real_$sum(real_0, real_49/4) = real_49/4 & real_$sum(real_0, real_7) = real_7
% 21.69/4.07    & real_$sum(real_0, real_-7/2) = real_-7/2 & real_$sum(real_0, real_7/2) =
% 21.69/4.07    real_7/2 & real_$sum(real_0, real_-41/20) = real_-41/20 & real_$sum(real_0,
% 21.69/4.07      real_0) = real_0 & real_$is_rat(real_1681/400) & real_$is_rat(real_-41/10) &
% 21.69/4.07    real_$is_rat(real_-70/41) & real_$is_rat(real_-20/41) &
% 21.69/4.07    real_$is_rat(real_-111/20) & real_$is_rat(real_41/20) &
% 21.69/4.07    real_$is_rat(real_-41/70) & real_$is_rat(real_-287/40) &
% 21.69/4.07    real_$is_rat(real_111/20) & real_$is_rat(real_29/20) & real_$is_rat(real_1) &
% 21.69/4.07    real_$is_rat(real_2/7) & real_$is_rat(real_49/4) & real_$is_rat(real_7) &
% 21.69/4.07    real_$is_rat(real_-7/2) & real_$is_rat(real_7/2) & real_$is_rat(real_-41/20) &
% 21.69/4.07    real_$is_rat(real_0) & real_$is_int(real_1) & real_$is_int(real_7) &
% 21.69/4.07    real_$is_int(real_0) & real_$greatereq(real_1681/400, real_1681/400) &
% 21.69/4.07    real_$greatereq(real_1681/400, real_-41/10) & real_$greatereq(real_1681/400,
% 21.69/4.07      real_-70/41) & real_$greatereq(real_1681/400, real_-20/41) &
% 21.69/4.07    real_$greatereq(real_1681/400, real_-111/20) & real_$greatereq(real_1681/400,
% 21.69/4.07      real_41/20) & real_$greatereq(real_1681/400, real_-41/70) &
% 21.69/4.07    real_$greatereq(real_1681/400, real_-287/40) & real_$greatereq(real_1681/400,
% 21.69/4.07      real_29/20) & real_$greatereq(real_1681/400, real_1) &
% 21.69/4.07    real_$greatereq(real_1681/400, real_2/7) & real_$greatereq(real_1681/400,
% 21.69/4.07      real_-7/2) & real_$greatereq(real_1681/400, real_7/2) &
% 21.69/4.07    real_$greatereq(real_1681/400, real_-41/20) & real_$greatereq(real_1681/400,
% 21.69/4.07      real_0) & real_$greatereq(real_-41/10, real_-41/10) &
% 21.69/4.07    real_$greatereq(real_-41/10, real_-111/20) & real_$greatereq(real_-41/10,
% 21.69/4.07      real_-287/40) & real_$greatereq(real_-70/41, real_-41/10) &
% 21.69/4.07    real_$greatereq(real_-70/41, real_-70/41) & real_$greatereq(real_-70/41,
% 21.69/4.07      real_-111/20) & real_$greatereq(real_-70/41, real_-287/40) &
% 21.69/4.07    real_$greatereq(real_-70/41, real_-7/2) & real_$greatereq(real_-70/41,
% 21.69/4.07      real_-41/20) & real_$greatereq(real_-20/41, real_-41/10) &
% 21.69/4.07    real_$greatereq(real_-20/41, real_-70/41) & real_$greatereq(real_-20/41,
% 21.69/4.07      real_-20/41) & real_$greatereq(real_-20/41, real_-111/20) &
% 21.69/4.07    real_$greatereq(real_-20/41, real_-41/70) & real_$greatereq(real_-20/41,
% 21.69/4.07      real_-287/40) & real_$greatereq(real_-20/41, real_-7/2) &
% 21.69/4.07    real_$greatereq(real_-20/41, real_-41/20) & real_$greatereq(real_-111/20,
% 21.69/4.07      real_-111/20) & real_$greatereq(real_-111/20, real_-287/40) &
% 21.69/4.07    real_$greatereq(real_41/20, real_-41/10) & real_$greatereq(real_41/20,
% 21.69/4.07      real_-70/41) & real_$greatereq(real_41/20, real_-20/41) &
% 21.69/4.07    real_$greatereq(real_41/20, real_-111/20) & real_$greatereq(real_41/20,
% 21.69/4.07      real_41/20) & real_$greatereq(real_41/20, real_-41/70) &
% 21.69/4.07    real_$greatereq(real_41/20, real_-287/40) & real_$greatereq(real_41/20,
% 21.69/4.07      real_29/20) & real_$greatereq(real_41/20, real_1) &
% 21.69/4.07    real_$greatereq(real_41/20, real_2/7) & real_$greatereq(real_41/20, real_-7/2)
% 21.69/4.07    & real_$greatereq(real_41/20, real_-41/20) & real_$greatereq(real_41/20,
% 21.69/4.07      real_0) & real_$greatereq(real_-41/70, real_-41/10) &
% 21.69/4.07    real_$greatereq(real_-41/70, real_-70/41) & real_$greatereq(real_-41/70,
% 21.69/4.07      real_-111/20) & real_$greatereq(real_-41/70, real_-41/70) &
% 21.69/4.07    real_$greatereq(real_-41/70, real_-287/40) & real_$greatereq(real_-41/70,
% 21.69/4.07      real_-7/2) & real_$greatereq(real_-41/70, real_-41/20) &
% 21.69/4.07    real_$greatereq(real_-287/40, real_-287/40) & real_$greatereq(real_111/20,
% 21.69/4.07      real_1681/400) & real_$greatereq(real_111/20, real_-41/10) &
% 21.69/4.07    real_$greatereq(real_111/20, real_-70/41) & real_$greatereq(real_111/20,
% 21.69/4.07      real_-20/41) & real_$greatereq(real_111/20, real_-111/20) &
% 21.69/4.07    real_$greatereq(real_111/20, real_41/20) & real_$greatereq(real_111/20,
% 21.69/4.07      real_-41/70) & real_$greatereq(real_111/20, real_-287/40) &
% 21.69/4.07    real_$greatereq(real_111/20, real_111/20) & real_$greatereq(real_111/20,
% 21.69/4.07      real_29/20) & real_$greatereq(real_111/20, real_1) &
% 21.69/4.07    real_$greatereq(real_111/20, real_2/7) & real_$greatereq(real_111/20,
% 21.69/4.07      real_-7/2) & real_$greatereq(real_111/20, real_7/2) &
% 21.69/4.07    real_$greatereq(real_111/20, real_-41/20) & real_$greatereq(real_111/20,
% 21.69/4.07      real_0) & real_$greatereq(real_29/20, real_-41/10) &
% 21.69/4.07    real_$greatereq(real_29/20, real_-70/41) & real_$greatereq(real_29/20,
% 21.69/4.07      real_-20/41) & real_$greatereq(real_29/20, real_-111/20) &
% 21.69/4.07    real_$greatereq(real_29/20, real_-41/70) & real_$greatereq(real_29/20,
% 21.69/4.07      real_-287/40) & real_$greatereq(real_29/20, real_29/20) &
% 21.69/4.07    real_$greatereq(real_29/20, real_1) & real_$greatereq(real_29/20, real_2/7) &
% 21.69/4.07    real_$greatereq(real_29/20, real_-7/2) & real_$greatereq(real_29/20,
% 21.69/4.07      real_-41/20) & real_$greatereq(real_29/20, real_0) & real_$greatereq(real_1,
% 21.69/4.07      real_-41/10) & real_$greatereq(real_1, real_-70/41) &
% 21.69/4.07    real_$greatereq(real_1, real_-20/41) & real_$greatereq(real_1, real_-111/20) &
% 21.69/4.07    real_$greatereq(real_1, real_-41/70) & real_$greatereq(real_1, real_-287/40) &
% 21.69/4.07    real_$greatereq(real_1, real_1) & real_$greatereq(real_1, real_2/7) &
% 21.69/4.07    real_$greatereq(real_1, real_-7/2) & real_$greatereq(real_1, real_-41/20) &
% 21.69/4.07    real_$greatereq(real_1, real_0) & real_$greatereq(real_2/7, real_-41/10) &
% 21.69/4.07    real_$greatereq(real_2/7, real_-70/41) & real_$greatereq(real_2/7,
% 21.69/4.07      real_-20/41) & real_$greatereq(real_2/7, real_-111/20) &
% 21.69/4.07    real_$greatereq(real_2/7, real_-41/70) & real_$greatereq(real_2/7,
% 21.69/4.07      real_-287/40) & real_$greatereq(real_2/7, real_2/7) &
% 21.69/4.07    real_$greatereq(real_2/7, real_-7/2) & real_$greatereq(real_2/7, real_-41/20)
% 21.69/4.07    & real_$greatereq(real_2/7, real_0) & real_$greatereq(real_49/4,
% 21.69/4.07      real_1681/400) & real_$greatereq(real_49/4, real_-41/10) &
% 21.69/4.07    real_$greatereq(real_49/4, real_-70/41) & real_$greatereq(real_49/4,
% 21.69/4.07      real_-20/41) & real_$greatereq(real_49/4, real_-111/20) &
% 21.69/4.07    real_$greatereq(real_49/4, real_41/20) & real_$greatereq(real_49/4,
% 21.69/4.07      real_-41/70) & real_$greatereq(real_49/4, real_-287/40) &
% 21.69/4.07    real_$greatereq(real_49/4, real_111/20) & real_$greatereq(real_49/4,
% 21.69/4.07      real_29/20) & real_$greatereq(real_49/4, real_1) &
% 21.69/4.07    real_$greatereq(real_49/4, real_2/7) & real_$greatereq(real_49/4, real_49/4) &
% 21.69/4.07    real_$greatereq(real_49/4, real_7) & real_$greatereq(real_49/4, real_-7/2) &
% 21.69/4.07    real_$greatereq(real_49/4, real_7/2) & real_$greatereq(real_49/4, real_-41/20)
% 21.69/4.07    & real_$greatereq(real_49/4, real_0) & real_$greatereq(real_7, real_1681/400)
% 21.69/4.07    & real_$greatereq(real_7, real_-41/10) & real_$greatereq(real_7, real_-70/41)
% 21.69/4.07    & real_$greatereq(real_7, real_-20/41) & real_$greatereq(real_7, real_-111/20)
% 21.69/4.07    & real_$greatereq(real_7, real_41/20) & real_$greatereq(real_7, real_-41/70) &
% 21.69/4.07    real_$greatereq(real_7, real_-287/40) & real_$greatereq(real_7, real_111/20) &
% 21.69/4.07    real_$greatereq(real_7, real_29/20) & real_$greatereq(real_7, real_1) &
% 21.69/4.07    real_$greatereq(real_7, real_2/7) & real_$greatereq(real_7, real_7) &
% 21.69/4.07    real_$greatereq(real_7, real_-7/2) & real_$greatereq(real_7, real_7/2) &
% 21.69/4.07    real_$greatereq(real_7, real_-41/20) & real_$greatereq(real_7, real_0) &
% 21.69/4.07    real_$greatereq(real_-7/2, real_-41/10) & real_$greatereq(real_-7/2,
% 21.69/4.07      real_-111/20) & real_$greatereq(real_-7/2, real_-287/40) &
% 21.69/4.07    real_$greatereq(real_-7/2, real_-7/2) & real_$greatereq(real_7/2, real_-41/10)
% 21.69/4.07    & real_$greatereq(real_7/2, real_-70/41) & real_$greatereq(real_7/2,
% 21.69/4.07      real_-20/41) & real_$greatereq(real_7/2, real_-111/20) &
% 21.69/4.07    real_$greatereq(real_7/2, real_41/20) & real_$greatereq(real_7/2, real_-41/70)
% 21.69/4.07    & real_$greatereq(real_7/2, real_-287/40) & real_$greatereq(real_7/2,
% 21.69/4.07      real_29/20) & real_$greatereq(real_7/2, real_1) & real_$greatereq(real_7/2,
% 21.69/4.07      real_2/7) & real_$greatereq(real_7/2, real_-7/2) & real_$greatereq(real_7/2,
% 21.69/4.07      real_7/2) & real_$greatereq(real_7/2, real_-41/20) &
% 21.69/4.07    real_$greatereq(real_7/2, real_0) & real_$greatereq(real_-41/20, real_-41/10)
% 21.69/4.07    & real_$greatereq(real_-41/20, real_-111/20) & real_$greatereq(real_-41/20,
% 21.69/4.07      real_-287/40) & real_$greatereq(real_-41/20, real_-7/2) &
% 21.69/4.07    real_$greatereq(real_-41/20, real_-41/20) & real_$greatereq(real_0,
% 21.69/4.07      real_-41/10) & real_$greatereq(real_0, real_-70/41) &
% 21.69/4.07    real_$greatereq(real_0, real_-20/41) & real_$greatereq(real_0, real_-111/20) &
% 21.69/4.07    real_$greatereq(real_0, real_-41/70) & real_$greatereq(real_0, real_-287/40) &
% 21.69/4.07    real_$greatereq(real_0, real_-7/2) & real_$greatereq(real_0, real_-41/20) &
% 21.69/4.07    real_$greatereq(real_0, real_0) & real_$greater(real_very_large,
% 21.69/4.07      real_1681/400) & real_$greater(real_very_large, real_-41/10) &
% 21.69/4.07    real_$greater(real_very_large, real_-70/41) & real_$greater(real_very_large,
% 21.69/4.07      real_-20/41) & real_$greater(real_very_large, real_-111/20) &
% 21.69/4.07    real_$greater(real_very_large, real_41/20) & real_$greater(real_very_large,
% 21.69/4.07      real_-41/70) & real_$greater(real_very_large, real_-287/40) &
% 21.69/4.07    real_$greater(real_very_large, real_111/20) & real_$greater(real_very_large,
% 21.69/4.07      real_29/20) & real_$greater(real_very_large, real_1) &
% 21.69/4.07    real_$greater(real_very_large, real_2/7) & real_$greater(real_very_large,
% 21.69/4.07      real_49/4) & real_$greater(real_very_large, real_7) &
% 21.69/4.07    real_$greater(real_very_large, real_-7/2) & real_$greater(real_very_large,
% 21.69/4.07      real_7/2) & real_$greater(real_very_large, real_-41/20) &
% 21.69/4.07    real_$greater(real_very_large, real_0) & real_$greater(real_1681/400,
% 21.69/4.07      real_very_small) & real_$greater(real_1681/400, real_-41/10) &
% 21.69/4.07    real_$greater(real_1681/400, real_-70/41) & real_$greater(real_1681/400,
% 21.69/4.07      real_-20/41) & real_$greater(real_1681/400, real_-111/20) &
% 21.69/4.07    real_$greater(real_1681/400, real_41/20) & real_$greater(real_1681/400,
% 21.69/4.07      real_-41/70) & real_$greater(real_1681/400, real_-287/40) &
% 21.69/4.07    real_$greater(real_1681/400, real_29/20) & real_$greater(real_1681/400,
% 21.69/4.07      real_1) & real_$greater(real_1681/400, real_2/7) &
% 21.69/4.07    real_$greater(real_1681/400, real_-7/2) & real_$greater(real_1681/400,
% 21.69/4.07      real_7/2) & real_$greater(real_1681/400, real_-41/20) &
% 21.69/4.07    real_$greater(real_1681/400, real_0) & real_$greater(real_-41/10,
% 21.69/4.07      real_very_small) & real_$greater(real_-41/10, real_-111/20) &
% 21.69/4.07    real_$greater(real_-41/10, real_-287/40) & real_$greater(real_-70/41,
% 21.69/4.07      real_very_small) & real_$greater(real_-70/41, real_-41/10) &
% 21.69/4.07    real_$greater(real_-70/41, real_-111/20) & real_$greater(real_-70/41,
% 21.69/4.07      real_-287/40) & real_$greater(real_-70/41, real_-7/2) &
% 21.69/4.07    real_$greater(real_-70/41, real_-41/20) & real_$greater(real_-20/41,
% 21.69/4.07      real_very_small) & real_$greater(real_-20/41, real_-41/10) &
% 21.69/4.07    real_$greater(real_-20/41, real_-70/41) & real_$greater(real_-20/41,
% 21.69/4.07      real_-111/20) & real_$greater(real_-20/41, real_-41/70) &
% 21.69/4.07    real_$greater(real_-20/41, real_-287/40) & real_$greater(real_-20/41,
% 21.69/4.07      real_-7/2) & real_$greater(real_-20/41, real_-41/20) &
% 21.69/4.07    real_$greater(real_-111/20, real_very_small) & real_$greater(real_-111/20,
% 21.69/4.07      real_-287/40) & real_$greater(real_41/20, real_very_small) &
% 21.69/4.07    real_$greater(real_41/20, real_-41/10) & real_$greater(real_41/20,
% 21.69/4.07      real_-70/41) & real_$greater(real_41/20, real_-20/41) &
% 21.69/4.07    real_$greater(real_41/20, real_-111/20) & real_$greater(real_41/20,
% 21.69/4.07      real_-41/70) & real_$greater(real_41/20, real_-287/40) &
% 21.69/4.07    real_$greater(real_41/20, real_29/20) & real_$greater(real_41/20, real_1) &
% 21.69/4.07    real_$greater(real_41/20, real_2/7) & real_$greater(real_41/20, real_-7/2) &
% 21.69/4.07    real_$greater(real_41/20, real_-41/20) & real_$greater(real_41/20, real_0) &
% 21.69/4.07    real_$greater(real_-41/70, real_very_small) & real_$greater(real_-41/70,
% 21.69/4.07      real_-41/10) & real_$greater(real_-41/70, real_-70/41) &
% 21.69/4.07    real_$greater(real_-41/70, real_-111/20) & real_$greater(real_-41/70,
% 21.69/4.07      real_-287/40) & real_$greater(real_-41/70, real_-7/2) &
% 21.69/4.07    real_$greater(real_-41/70, real_-41/20) & real_$greater(real_-287/40,
% 21.69/4.07      real_very_small) & real_$greater(real_111/20, real_very_small) &
% 21.69/4.07    real_$greater(real_111/20, real_1681/400) & real_$greater(real_111/20,
% 21.69/4.07      real_-41/10) & real_$greater(real_111/20, real_-70/41) &
% 21.69/4.07    real_$greater(real_111/20, real_-20/41) & real_$greater(real_111/20,
% 21.69/4.07      real_-111/20) & real_$greater(real_111/20, real_41/20) &
% 21.69/4.07    real_$greater(real_111/20, real_-41/70) & real_$greater(real_111/20,
% 21.69/4.07      real_-287/40) & real_$greater(real_111/20, real_29/20) &
% 21.69/4.07    real_$greater(real_111/20, real_1) & real_$greater(real_111/20, real_2/7) &
% 21.69/4.07    real_$greater(real_111/20, real_-7/2) & real_$greater(real_111/20, real_7/2) &
% 21.69/4.07    real_$greater(real_111/20, real_-41/20) & real_$greater(real_111/20, real_0) &
% 21.69/4.07    real_$greater(real_29/20, real_very_small) & real_$greater(real_29/20,
% 21.69/4.07      real_-41/10) & real_$greater(real_29/20, real_-70/41) &
% 21.69/4.07    real_$greater(real_29/20, real_-20/41) & real_$greater(real_29/20,
% 21.69/4.07      real_-111/20) & real_$greater(real_29/20, real_-41/70) &
% 21.69/4.07    real_$greater(real_29/20, real_-287/40) & real_$greater(real_29/20, real_1) &
% 21.69/4.07    real_$greater(real_29/20, real_2/7) & real_$greater(real_29/20, real_-7/2) &
% 21.69/4.07    real_$greater(real_29/20, real_-41/20) & real_$greater(real_29/20, real_0) &
% 21.69/4.07    real_$greater(real_1, real_very_small) & real_$greater(real_1, real_-41/10) &
% 21.69/4.07    real_$greater(real_1, real_-70/41) & real_$greater(real_1, real_-20/41) &
% 21.69/4.07    real_$greater(real_1, real_-111/20) & real_$greater(real_1, real_-41/70) &
% 21.69/4.07    real_$greater(real_1, real_-287/40) & real_$greater(real_1, real_2/7) &
% 21.69/4.07    real_$greater(real_1, real_-7/2) & real_$greater(real_1, real_-41/20) &
% 21.69/4.07    real_$greater(real_1, real_0) & real_$greater(real_2/7, real_very_small) &
% 21.69/4.07    real_$greater(real_2/7, real_-41/10) & real_$greater(real_2/7, real_-70/41) &
% 21.69/4.07    real_$greater(real_2/7, real_-20/41) & real_$greater(real_2/7, real_-111/20) &
% 21.69/4.07    real_$greater(real_2/7, real_-41/70) & real_$greater(real_2/7, real_-287/40) &
% 21.69/4.07    real_$greater(real_2/7, real_-7/2) & real_$greater(real_2/7, real_-41/20) &
% 21.69/4.07    real_$greater(real_2/7, real_0) & real_$greater(real_49/4, real_very_small) &
% 21.69/4.07    real_$greater(real_49/4, real_1681/400) & real_$greater(real_49/4,
% 21.69/4.07      real_-41/10) & real_$greater(real_49/4, real_-70/41) &
% 21.69/4.07    real_$greater(real_49/4, real_-20/41) & real_$greater(real_49/4, real_-111/20)
% 21.69/4.07    & real_$greater(real_49/4, real_41/20) & real_$greater(real_49/4, real_-41/70)
% 21.69/4.07    & real_$greater(real_49/4, real_-287/40) & real_$greater(real_49/4,
% 21.69/4.07      real_111/20) & real_$greater(real_49/4, real_29/20) &
% 21.69/4.07    real_$greater(real_49/4, real_1) & real_$greater(real_49/4, real_2/7) &
% 21.69/4.07    real_$greater(real_49/4, real_7) & real_$greater(real_49/4, real_-7/2) &
% 21.69/4.07    real_$greater(real_49/4, real_7/2) & real_$greater(real_49/4, real_-41/20) &
% 21.69/4.07    real_$greater(real_49/4, real_0) & real_$greater(real_7, real_very_small) &
% 21.69/4.07    real_$greater(real_7, real_1681/400) & real_$greater(real_7, real_-41/10) &
% 21.69/4.07    real_$greater(real_7, real_-70/41) & real_$greater(real_7, real_-20/41) &
% 21.69/4.07    real_$greater(real_7, real_-111/20) & real_$greater(real_7, real_41/20) &
% 21.69/4.07    real_$greater(real_7, real_-41/70) & real_$greater(real_7, real_-287/40) &
% 21.69/4.07    real_$greater(real_7, real_111/20) & real_$greater(real_7, real_29/20) &
% 21.69/4.07    real_$greater(real_7, real_1) & real_$greater(real_7, real_2/7) &
% 21.69/4.07    real_$greater(real_7, real_-7/2) & real_$greater(real_7, real_7/2) &
% 21.69/4.07    real_$greater(real_7, real_-41/20) & real_$greater(real_7, real_0) &
% 21.69/4.07    real_$greater(real_-7/2, real_very_small) & real_$greater(real_-7/2,
% 21.69/4.07      real_-41/10) & real_$greater(real_-7/2, real_-111/20) &
% 21.69/4.07    real_$greater(real_-7/2, real_-287/40) & real_$greater(real_7/2,
% 21.69/4.07      real_very_small) & real_$greater(real_7/2, real_-41/10) &
% 21.69/4.07    real_$greater(real_7/2, real_-70/41) & real_$greater(real_7/2, real_-20/41) &
% 21.69/4.07    real_$greater(real_7/2, real_-111/20) & real_$greater(real_7/2, real_41/20) &
% 21.69/4.07    real_$greater(real_7/2, real_-41/70) & real_$greater(real_7/2, real_-287/40) &
% 21.69/4.07    real_$greater(real_7/2, real_29/20) & real_$greater(real_7/2, real_1) &
% 21.69/4.07    real_$greater(real_7/2, real_2/7) & real_$greater(real_7/2, real_-7/2) &
% 21.69/4.07    real_$greater(real_7/2, real_-41/20) & real_$greater(real_7/2, real_0) &
% 21.69/4.07    real_$greater(real_-41/20, real_very_small) & real_$greater(real_-41/20,
% 22.15/4.07      real_-41/10) & real_$greater(real_-41/20, real_-111/20) &
% 22.15/4.07    real_$greater(real_-41/20, real_-287/40) & real_$greater(real_-41/20,
% 22.15/4.07      real_-7/2) & real_$greater(real_0, real_very_small) & real_$greater(real_0,
% 22.15/4.07      real_-41/10) & real_$greater(real_0, real_-70/41) & real_$greater(real_0,
% 22.15/4.07      real_-20/41) & real_$greater(real_0, real_-111/20) & real_$greater(real_0,
% 22.15/4.07      real_-41/70) & real_$greater(real_0, real_-287/40) & real_$greater(real_0,
% 22.15/4.07      real_-7/2) & real_$greater(real_0, real_-41/20) &
% 22.15/4.07    real_$lesseq(real_very_small, real_very_large) & real_$lesseq(real_1681/400,
% 22.15/4.07      real_1681/400) & real_$lesseq(real_1681/400, real_111/20) &
% 22.15/4.07    real_$lesseq(real_1681/400, real_49/4) & real_$lesseq(real_1681/400, real_7) &
% 22.15/4.07    real_$lesseq(real_-41/10, real_1681/400) & real_$lesseq(real_-41/10,
% 22.15/4.07      real_-41/10) & real_$lesseq(real_-41/10, real_-70/41) &
% 22.15/4.07    real_$lesseq(real_-41/10, real_-20/41) & real_$lesseq(real_-41/10, real_41/20)
% 22.15/4.07    & real_$lesseq(real_-41/10, real_-41/70) & real_$lesseq(real_-41/10,
% 22.15/4.07      real_111/20) & real_$lesseq(real_-41/10, real_29/20) &
% 22.15/4.07    real_$lesseq(real_-41/10, real_1) & real_$lesseq(real_-41/10, real_2/7) &
% 22.15/4.07    real_$lesseq(real_-41/10, real_49/4) & real_$lesseq(real_-41/10, real_7) &
% 22.15/4.07    real_$lesseq(real_-41/10, real_-7/2) & real_$lesseq(real_-41/10, real_7/2) &
% 22.15/4.07    real_$lesseq(real_-41/10, real_-41/20) & real_$lesseq(real_-41/10, real_0) &
% 22.15/4.07    real_$lesseq(real_-70/41, real_1681/400) & real_$lesseq(real_-70/41,
% 22.15/4.07      real_-70/41) & real_$lesseq(real_-70/41, real_-20/41) &
% 22.15/4.07    real_$lesseq(real_-70/41, real_41/20) & real_$lesseq(real_-70/41, real_-41/70)
% 22.15/4.07    & real_$lesseq(real_-70/41, real_111/20) & real_$lesseq(real_-70/41,
% 22.15/4.07      real_29/20) & real_$lesseq(real_-70/41, real_1) & real_$lesseq(real_-70/41,
% 22.15/4.07      real_2/7) & real_$lesseq(real_-70/41, real_49/4) & real_$lesseq(real_-70/41,
% 22.15/4.07      real_7) & real_$lesseq(real_-70/41, real_7/2) & real_$lesseq(real_-70/41,
% 22.15/4.07      real_0) & real_$lesseq(real_-20/41, real_1681/400) &
% 22.15/4.07    real_$lesseq(real_-20/41, real_-20/41) & real_$lesseq(real_-20/41, real_41/20)
% 22.15/4.07    & real_$lesseq(real_-20/41, real_111/20) & real_$lesseq(real_-20/41,
% 22.15/4.07      real_29/20) & real_$lesseq(real_-20/41, real_1) & real_$lesseq(real_-20/41,
% 22.15/4.07      real_2/7) & real_$lesseq(real_-20/41, real_49/4) & real_$lesseq(real_-20/41,
% 22.15/4.07      real_7) & real_$lesseq(real_-20/41, real_7/2) & real_$lesseq(real_-20/41,
% 22.15/4.07      real_0) & real_$lesseq(real_-111/20, real_1681/400) &
% 22.15/4.07    real_$lesseq(real_-111/20, real_-41/10) & real_$lesseq(real_-111/20,
% 22.15/4.07      real_-70/41) & real_$lesseq(real_-111/20, real_-20/41) &
% 22.15/4.07    real_$lesseq(real_-111/20, real_-111/20) & real_$lesseq(real_-111/20,
% 22.15/4.07      real_41/20) & real_$lesseq(real_-111/20, real_-41/70) &
% 22.15/4.07    real_$lesseq(real_-111/20, real_111/20) & real_$lesseq(real_-111/20,
% 22.15/4.07      real_29/20) & real_$lesseq(real_-111/20, real_1) &
% 22.15/4.07    real_$lesseq(real_-111/20, real_2/7) & real_$lesseq(real_-111/20, real_49/4) &
% 22.15/4.07    real_$lesseq(real_-111/20, real_7) & real_$lesseq(real_-111/20, real_-7/2) &
% 22.15/4.07    real_$lesseq(real_-111/20, real_7/2) & real_$lesseq(real_-111/20, real_-41/20)
% 22.15/4.07    & real_$lesseq(real_-111/20, real_0) & real_$lesseq(real_41/20, real_1681/400)
% 22.15/4.07    & real_$lesseq(real_41/20, real_41/20) & real_$lesseq(real_41/20, real_111/20)
% 22.15/4.07    & real_$lesseq(real_41/20, real_49/4) & real_$lesseq(real_41/20, real_7) &
% 22.15/4.07    real_$lesseq(real_41/20, real_7/2) & real_$lesseq(real_-41/70, real_1681/400)
% 22.15/4.07    & real_$lesseq(real_-41/70, real_-20/41) & real_$lesseq(real_-41/70,
% 22.15/4.07      real_41/20) & real_$lesseq(real_-41/70, real_-41/70) &
% 22.15/4.07    real_$lesseq(real_-41/70, real_111/20) & real_$lesseq(real_-41/70, real_29/20)
% 22.15/4.07    & real_$lesseq(real_-41/70, real_1) & real_$lesseq(real_-41/70, real_2/7) &
% 22.15/4.07    real_$lesseq(real_-41/70, real_49/4) & real_$lesseq(real_-41/70, real_7) &
% 22.15/4.07    real_$lesseq(real_-41/70, real_7/2) & real_$lesseq(real_-41/70, real_0) &
% 22.15/4.07    real_$lesseq(real_-287/40, real_1681/400) & real_$lesseq(real_-287/40,
% 22.15/4.07      real_-41/10) & real_$lesseq(real_-287/40, real_-70/41) &
% 22.15/4.07    real_$lesseq(real_-287/40, real_-20/41) & real_$lesseq(real_-287/40,
% 22.15/4.07      real_-111/20) & real_$lesseq(real_-287/40, real_41/20) &
% 22.15/4.07    real_$lesseq(real_-287/40, real_-41/70) & real_$lesseq(real_-287/40,
% 22.15/4.07      real_-287/40) & real_$lesseq(real_-287/40, real_111/20) &
% 22.15/4.07    real_$lesseq(real_-287/40, real_29/20) & real_$lesseq(real_-287/40, real_1) &
% 22.15/4.07    real_$lesseq(real_-287/40, real_2/7) & real_$lesseq(real_-287/40, real_49/4) &
% 22.15/4.07    real_$lesseq(real_-287/40, real_7) & real_$lesseq(real_-287/40, real_-7/2) &
% 22.15/4.07    real_$lesseq(real_-287/40, real_7/2) & real_$lesseq(real_-287/40, real_-41/20)
% 22.15/4.07    & real_$lesseq(real_-287/40, real_0) & real_$lesseq(real_111/20, real_111/20)
% 22.15/4.07    & real_$lesseq(real_111/20, real_49/4) & real_$lesseq(real_111/20, real_7) &
% 22.15/4.07    real_$lesseq(real_29/20, real_1681/400) & real_$lesseq(real_29/20, real_41/20)
% 22.15/4.07    & real_$lesseq(real_29/20, real_111/20) & real_$lesseq(real_29/20, real_29/20)
% 22.15/4.07    & real_$lesseq(real_29/20, real_49/4) & real_$lesseq(real_29/20, real_7) &
% 22.15/4.07    real_$lesseq(real_29/20, real_7/2) & real_$lesseq(real_1, real_1681/400) &
% 22.15/4.07    real_$lesseq(real_1, real_41/20) & real_$lesseq(real_1, real_111/20) &
% 22.15/4.07    real_$lesseq(real_1, real_29/20) & real_$lesseq(real_1, real_1) &
% 22.15/4.07    real_$lesseq(real_1, real_49/4) & real_$lesseq(real_1, real_7) &
% 22.15/4.07    real_$lesseq(real_1, real_7/2) & real_$lesseq(real_2/7, real_1681/400) &
% 22.15/4.07    real_$lesseq(real_2/7, real_41/20) & real_$lesseq(real_2/7, real_111/20) &
% 22.15/4.07    real_$lesseq(real_2/7, real_29/20) & real_$lesseq(real_2/7, real_1) &
% 22.15/4.07    real_$lesseq(real_2/7, real_2/7) & real_$lesseq(real_2/7, real_49/4) &
% 22.15/4.07    real_$lesseq(real_2/7, real_7) & real_$lesseq(real_2/7, real_7/2) &
% 22.15/4.07    real_$lesseq(real_49/4, real_49/4) & real_$lesseq(real_7, real_49/4) &
% 22.15/4.07    real_$lesseq(real_7, real_7) & real_$lesseq(real_-7/2, real_1681/400) &
% 22.15/4.07    real_$lesseq(real_-7/2, real_-70/41) & real_$lesseq(real_-7/2, real_-20/41) &
% 22.15/4.07    real_$lesseq(real_-7/2, real_41/20) & real_$lesseq(real_-7/2, real_-41/70) &
% 22.15/4.07    real_$lesseq(real_-7/2, real_111/20) & real_$lesseq(real_-7/2, real_29/20) &
% 22.15/4.07    real_$lesseq(real_-7/2, real_1) & real_$lesseq(real_-7/2, real_2/7) &
% 22.15/4.07    real_$lesseq(real_-7/2, real_49/4) & real_$lesseq(real_-7/2, real_7) &
% 22.15/4.07    real_$lesseq(real_-7/2, real_-7/2) & real_$lesseq(real_-7/2, real_7/2) &
% 22.15/4.07    real_$lesseq(real_-7/2, real_-41/20) & real_$lesseq(real_-7/2, real_0) &
% 22.15/4.07    real_$lesseq(real_7/2, real_1681/400) & real_$lesseq(real_7/2, real_111/20) &
% 22.15/4.07    real_$lesseq(real_7/2, real_49/4) & real_$lesseq(real_7/2, real_7) &
% 22.15/4.07    real_$lesseq(real_7/2, real_7/2) & real_$lesseq(real_-41/20, real_1681/400) &
% 22.15/4.07    real_$lesseq(real_-41/20, real_-70/41) & real_$lesseq(real_-41/20,
% 22.15/4.07      real_-20/41) & real_$lesseq(real_-41/20, real_41/20) &
% 22.15/4.07    real_$lesseq(real_-41/20, real_-41/70) & real_$lesseq(real_-41/20,
% 22.15/4.07      real_111/20) & real_$lesseq(real_-41/20, real_29/20) &
% 22.15/4.07    real_$lesseq(real_-41/20, real_1) & real_$lesseq(real_-41/20, real_2/7) &
% 22.15/4.07    real_$lesseq(real_-41/20, real_49/4) & real_$lesseq(real_-41/20, real_7) &
% 22.15/4.07    real_$lesseq(real_-41/20, real_7/2) & real_$lesseq(real_-41/20, real_-41/20) &
% 22.15/4.07    real_$lesseq(real_-41/20, real_0) & real_$lesseq(real_0, real_1681/400) &
% 22.15/4.07    real_$lesseq(real_0, real_41/20) & real_$lesseq(real_0, real_111/20) &
% 22.15/4.07    real_$lesseq(real_0, real_29/20) & real_$lesseq(real_0, real_1) &
% 22.15/4.07    real_$lesseq(real_0, real_2/7) & real_$lesseq(real_0, real_49/4) &
% 22.15/4.07    real_$lesseq(real_0, real_7) & real_$lesseq(real_0, real_7/2) &
% 22.15/4.07    real_$lesseq(real_0, real_0) & real_$less(real_very_small, real_very_large) &
% 22.15/4.07    real_$less(real_very_small, real_1681/400) & real_$less(real_very_small,
% 22.15/4.07      real_-41/10) & real_$less(real_very_small, real_-70/41) &
% 22.15/4.07    real_$less(real_very_small, real_-20/41) & real_$less(real_very_small,
% 22.15/4.07      real_-111/20) & real_$less(real_very_small, real_41/20) &
% 22.15/4.07    real_$less(real_very_small, real_-41/70) & real_$less(real_very_small,
% 22.15/4.07      real_-287/40) & real_$less(real_very_small, real_111/20) &
% 22.15/4.07    real_$less(real_very_small, real_29/20) & real_$less(real_very_small, real_1)
% 22.15/4.07    & real_$less(real_very_small, real_2/7) & real_$less(real_very_small,
% 22.15/4.07      real_49/4) & real_$less(real_very_small, real_7) &
% 22.15/4.07    real_$less(real_very_small, real_-7/2) & real_$less(real_very_small, real_7/2)
% 22.15/4.07    & real_$less(real_very_small, real_-41/20) & real_$less(real_very_small,
% 22.15/4.07      real_0) & real_$less(real_1681/400, real_very_large) &
% 22.15/4.07    real_$less(real_1681/400, real_111/20) & real_$less(real_1681/400, real_49/4)
% 22.15/4.07    & real_$less(real_1681/400, real_7) & real_$less(real_-41/10, real_very_large)
% 22.15/4.07    & real_$less(real_-41/10, real_1681/400) & real_$less(real_-41/10,
% 22.15/4.07      real_-70/41) & real_$less(real_-41/10, real_-20/41) &
% 22.15/4.07    real_$less(real_-41/10, real_41/20) & real_$less(real_-41/10, real_-41/70) &
% 22.15/4.07    real_$less(real_-41/10, real_111/20) & real_$less(real_-41/10, real_29/20) &
% 22.15/4.07    real_$less(real_-41/10, real_1) & real_$less(real_-41/10, real_2/7) &
% 22.15/4.07    real_$less(real_-41/10, real_49/4) & real_$less(real_-41/10, real_7) &
% 22.15/4.07    real_$less(real_-41/10, real_-7/2) & real_$less(real_-41/10, real_7/2) &
% 22.15/4.07    real_$less(real_-41/10, real_-41/20) & real_$less(real_-41/10, real_0) &
% 22.15/4.07    real_$less(real_-70/41, real_very_large) & real_$less(real_-70/41,
% 22.15/4.07      real_1681/400) & real_$less(real_-70/41, real_-20/41) &
% 22.15/4.07    real_$less(real_-70/41, real_41/20) & real_$less(real_-70/41, real_-41/70) &
% 22.15/4.07    real_$less(real_-70/41, real_111/20) & real_$less(real_-70/41, real_29/20) &
% 22.15/4.07    real_$less(real_-70/41, real_1) & real_$less(real_-70/41, real_2/7) &
% 22.15/4.07    real_$less(real_-70/41, real_49/4) & real_$less(real_-70/41, real_7) &
% 22.15/4.07    real_$less(real_-70/41, real_7/2) & real_$less(real_-70/41, real_0) &
% 22.15/4.07    real_$less(real_-20/41, real_very_large) & real_$less(real_-20/41,
% 22.15/4.07      real_1681/400) & real_$less(real_-20/41, real_41/20) &
% 22.15/4.07    real_$less(real_-20/41, real_111/20) & real_$less(real_-20/41, real_29/20) &
% 22.15/4.07    real_$less(real_-20/41, real_1) & real_$less(real_-20/41, real_2/7) &
% 22.15/4.07    real_$less(real_-20/41, real_49/4) & real_$less(real_-20/41, real_7) &
% 22.15/4.07    real_$less(real_-20/41, real_7/2) & real_$less(real_-20/41, real_0) &
% 22.15/4.07    real_$less(real_-111/20, real_very_large) & real_$less(real_-111/20,
% 22.15/4.07      real_1681/400) & real_$less(real_-111/20, real_-41/10) &
% 22.15/4.07    real_$less(real_-111/20, real_-70/41) & real_$less(real_-111/20, real_-20/41)
% 22.15/4.07    & real_$less(real_-111/20, real_41/20) & real_$less(real_-111/20, real_-41/70)
% 22.15/4.07    & real_$less(real_-111/20, real_111/20) & real_$less(real_-111/20, real_29/20)
% 22.15/4.07    & real_$less(real_-111/20, real_1) & real_$less(real_-111/20, real_2/7) &
% 22.15/4.07    real_$less(real_-111/20, real_49/4) & real_$less(real_-111/20, real_7) &
% 22.15/4.07    real_$less(real_-111/20, real_-7/2) & real_$less(real_-111/20, real_7/2) &
% 22.15/4.07    real_$less(real_-111/20, real_-41/20) & real_$less(real_-111/20, real_0) &
% 22.15/4.07    real_$less(real_41/20, real_very_large) & real_$less(real_41/20,
% 22.15/4.07      real_1681/400) & real_$less(real_41/20, real_111/20) &
% 22.15/4.07    real_$less(real_41/20, real_49/4) & real_$less(real_41/20, real_7) &
% 22.15/4.07    real_$less(real_41/20, real_7/2) & real_$less(real_-41/70, real_very_large) &
% 22.15/4.07    real_$less(real_-41/70, real_1681/400) & real_$less(real_-41/70, real_-20/41)
% 22.15/4.07    & real_$less(real_-41/70, real_41/20) & real_$less(real_-41/70, real_111/20) &
% 22.15/4.07    real_$less(real_-41/70, real_29/20) & real_$less(real_-41/70, real_1) &
% 22.15/4.07    real_$less(real_-41/70, real_2/7) & real_$less(real_-41/70, real_49/4) &
% 22.15/4.07    real_$less(real_-41/70, real_7) & real_$less(real_-41/70, real_7/2) &
% 22.15/4.07    real_$less(real_-41/70, real_0) & real_$less(real_-287/40, real_very_large) &
% 22.15/4.07    real_$less(real_-287/40, real_1681/400) & real_$less(real_-287/40,
% 22.15/4.07      real_-41/10) & real_$less(real_-287/40, real_-70/41) &
% 22.15/4.07    real_$less(real_-287/40, real_-20/41) & real_$less(real_-287/40, real_-111/20)
% 22.15/4.07    & real_$less(real_-287/40, real_41/20) & real_$less(real_-287/40, real_-41/70)
% 22.15/4.07    & real_$less(real_-287/40, real_111/20) & real_$less(real_-287/40, real_29/20)
% 22.15/4.07    & real_$less(real_-287/40, real_1) & real_$less(real_-287/40, real_2/7) &
% 22.15/4.07    real_$less(real_-287/40, real_49/4) & real_$less(real_-287/40, real_7) &
% 22.15/4.07    real_$less(real_-287/40, real_-7/2) & real_$less(real_-287/40, real_7/2) &
% 22.15/4.07    real_$less(real_-287/40, real_-41/20) & real_$less(real_-287/40, real_0) &
% 22.15/4.07    real_$less(real_111/20, real_very_large) & real_$less(real_111/20, real_49/4)
% 22.15/4.07    & real_$less(real_111/20, real_7) & real_$less(real_29/20, real_very_large) &
% 22.15/4.07    real_$less(real_29/20, real_1681/400) & real_$less(real_29/20, real_41/20) &
% 22.15/4.07    real_$less(real_29/20, real_111/20) & real_$less(real_29/20, real_49/4) &
% 22.15/4.07    real_$less(real_29/20, real_7) & real_$less(real_29/20, real_7/2) &
% 22.15/4.07    real_$less(real_1, real_very_large) & real_$less(real_1, real_1681/400) &
% 22.15/4.07    real_$less(real_1, real_41/20) & real_$less(real_1, real_111/20) &
% 22.15/4.07    real_$less(real_1, real_29/20) & real_$less(real_1, real_49/4) &
% 22.15/4.07    real_$less(real_1, real_7) & real_$less(real_1, real_7/2) &
% 22.15/4.07    real_$less(real_2/7, real_very_large) & real_$less(real_2/7, real_1681/400) &
% 22.15/4.07    real_$less(real_2/7, real_41/20) & real_$less(real_2/7, real_111/20) &
% 22.15/4.07    real_$less(real_2/7, real_29/20) & real_$less(real_2/7, real_1) &
% 22.15/4.07    real_$less(real_2/7, real_49/4) & real_$less(real_2/7, real_7) &
% 22.15/4.07    real_$less(real_2/7, real_7/2) & real_$less(real_49/4, real_very_large) &
% 22.15/4.07    real_$less(real_7, real_very_large) & real_$less(real_7, real_49/4) &
% 22.15/4.07    real_$less(real_-7/2, real_very_large) & real_$less(real_-7/2, real_1681/400)
% 22.15/4.07    & real_$less(real_-7/2, real_-70/41) & real_$less(real_-7/2, real_-20/41) &
% 22.15/4.07    real_$less(real_-7/2, real_41/20) & real_$less(real_-7/2, real_-41/70) &
% 22.15/4.07    real_$less(real_-7/2, real_111/20) & real_$less(real_-7/2, real_29/20) &
% 22.15/4.07    real_$less(real_-7/2, real_1) & real_$less(real_-7/2, real_2/7) &
% 22.15/4.07    real_$less(real_-7/2, real_49/4) & real_$less(real_-7/2, real_7) &
% 22.15/4.07    real_$less(real_-7/2, real_7/2) & real_$less(real_-7/2, real_-41/20) &
% 22.15/4.07    real_$less(real_-7/2, real_0) & real_$less(real_7/2, real_very_large) &
% 22.15/4.07    real_$less(real_7/2, real_1681/400) & real_$less(real_7/2, real_111/20) &
% 22.15/4.07    real_$less(real_7/2, real_49/4) & real_$less(real_7/2, real_7) &
% 22.15/4.07    real_$less(real_-41/20, real_very_large) & real_$less(real_-41/20,
% 22.15/4.07      real_1681/400) & real_$less(real_-41/20, real_-70/41) &
% 22.15/4.07    real_$less(real_-41/20, real_-20/41) & real_$less(real_-41/20, real_41/20) &
% 22.15/4.07    real_$less(real_-41/20, real_-41/70) & real_$less(real_-41/20, real_111/20) &
% 22.15/4.07    real_$less(real_-41/20, real_29/20) & real_$less(real_-41/20, real_1) &
% 22.15/4.07    real_$less(real_-41/20, real_2/7) & real_$less(real_-41/20, real_49/4) &
% 22.15/4.07    real_$less(real_-41/20, real_7) & real_$less(real_-41/20, real_7/2) &
% 22.15/4.07    real_$less(real_-41/20, real_0) & real_$less(real_0, real_very_large) &
% 22.15/4.07    real_$less(real_0, real_1681/400) & real_$less(real_0, real_41/20) &
% 22.15/4.07    real_$less(real_0, real_111/20) & real_$less(real_0, real_29/20) &
% 22.15/4.07    real_$less(real_0, real_1) & real_$less(real_0, real_2/7) & real_$less(real_0,
% 22.15/4.07      real_49/4) & real_$less(real_0, real_7) & real_$less(real_0, real_7/2) &  ~
% 22.15/4.07    real_$is_int(real_1681/400) &  ~ real_$is_int(real_-41/10) &  ~
% 22.15/4.07    real_$is_int(real_-70/41) &  ~ real_$is_int(real_-20/41) &  ~
% 22.15/4.07    real_$is_int(real_-111/20) &  ~ real_$is_int(real_41/20) &  ~
% 22.15/4.07    real_$is_int(real_-41/70) &  ~ real_$is_int(real_-287/40) &  ~
% 22.15/4.07    real_$is_int(real_111/20) &  ~ real_$is_int(real_29/20) &  ~
% 22.15/4.07    real_$is_int(real_2/7) &  ~ real_$is_int(real_49/4) &  ~
% 22.15/4.07    real_$is_int(real_-7/2) &  ~ real_$is_int(real_7/2) &  ~
% 22.15/4.07    real_$is_int(real_-41/20) &  ~ real_$greatereq(real_very_small,
% 22.15/4.07      real_very_large) &  ~ real_$greatereq(real_1681/400, real_111/20) &  ~
% 22.15/4.07    real_$greatereq(real_1681/400, real_49/4) &  ~ real_$greatereq(real_1681/400,
% 22.15/4.07      real_7) &  ~ real_$greatereq(real_-41/10, real_1681/400) &  ~
% 22.15/4.07    real_$greatereq(real_-41/10, real_-70/41) &  ~ real_$greatereq(real_-41/10,
% 22.15/4.07      real_-20/41) &  ~ real_$greatereq(real_-41/10, real_41/20) &  ~
% 22.15/4.07    real_$greatereq(real_-41/10, real_-41/70) &  ~ real_$greatereq(real_-41/10,
% 22.15/4.07      real_111/20) &  ~ real_$greatereq(real_-41/10, real_29/20) &  ~
% 22.15/4.07    real_$greatereq(real_-41/10, real_1) &  ~ real_$greatereq(real_-41/10,
% 22.15/4.07      real_2/7) &  ~ real_$greatereq(real_-41/10, real_49/4) &  ~
% 22.15/4.07    real_$greatereq(real_-41/10, real_7) &  ~ real_$greatereq(real_-41/10,
% 22.15/4.07      real_-7/2) &  ~ real_$greatereq(real_-41/10, real_7/2) &  ~
% 22.15/4.07    real_$greatereq(real_-41/10, real_-41/20) &  ~ real_$greatereq(real_-41/10,
% 22.15/4.07      real_0) &  ~ real_$greatereq(real_-70/41, real_1681/400) &  ~
% 22.15/4.07    real_$greatereq(real_-70/41, real_-20/41) &  ~ real_$greatereq(real_-70/41,
% 22.15/4.07      real_41/20) &  ~ real_$greatereq(real_-70/41, real_-41/70) &  ~
% 22.15/4.07    real_$greatereq(real_-70/41, real_111/20) &  ~ real_$greatereq(real_-70/41,
% 22.15/4.07      real_29/20) &  ~ real_$greatereq(real_-70/41, real_1) &  ~
% 22.15/4.07    real_$greatereq(real_-70/41, real_2/7) &  ~ real_$greatereq(real_-70/41,
% 22.15/4.07      real_49/4) &  ~ real_$greatereq(real_-70/41, real_7) &  ~
% 22.15/4.07    real_$greatereq(real_-70/41, real_7/2) &  ~ real_$greatereq(real_-70/41,
% 22.15/4.07      real_0) &  ~ real_$greatereq(real_-20/41, real_1681/400) &  ~
% 22.15/4.07    real_$greatereq(real_-20/41, real_41/20) &  ~ real_$greatereq(real_-20/41,
% 22.15/4.07      real_111/20) &  ~ real_$greatereq(real_-20/41, real_29/20) &  ~
% 22.15/4.07    real_$greatereq(real_-20/41, real_1) &  ~ real_$greatereq(real_-20/41,
% 22.15/4.07      real_2/7) &  ~ real_$greatereq(real_-20/41, real_49/4) &  ~
% 22.15/4.07    real_$greatereq(real_-20/41, real_7) &  ~ real_$greatereq(real_-20/41,
% 22.15/4.07      real_7/2) &  ~ real_$greatereq(real_-20/41, real_0) &  ~
% 22.15/4.07    real_$greatereq(real_-111/20, real_1681/400) &  ~
% 22.15/4.07    real_$greatereq(real_-111/20, real_-41/10) &  ~ real_$greatereq(real_-111/20,
% 22.15/4.07      real_-70/41) &  ~ real_$greatereq(real_-111/20, real_-20/41) &  ~
% 22.15/4.07    real_$greatereq(real_-111/20, real_41/20) &  ~ real_$greatereq(real_-111/20,
% 22.15/4.07      real_-41/70) &  ~ real_$greatereq(real_-111/20, real_111/20) &  ~
% 22.15/4.07    real_$greatereq(real_-111/20, real_29/20) &  ~ real_$greatereq(real_-111/20,
% 22.15/4.07      real_1) &  ~ real_$greatereq(real_-111/20, real_2/7) &  ~
% 22.15/4.07    real_$greatereq(real_-111/20, real_49/4) &  ~ real_$greatereq(real_-111/20,
% 22.15/4.07      real_7) &  ~ real_$greatereq(real_-111/20, real_-7/2) &  ~
% 22.15/4.07    real_$greatereq(real_-111/20, real_7/2) &  ~ real_$greatereq(real_-111/20,
% 22.15/4.07      real_-41/20) &  ~ real_$greatereq(real_-111/20, real_0) &  ~
% 22.15/4.07    real_$greatereq(real_41/20, real_1681/400) &  ~ real_$greatereq(real_41/20,
% 22.15/4.07      real_111/20) &  ~ real_$greatereq(real_41/20, real_49/4) &  ~
% 22.15/4.07    real_$greatereq(real_41/20, real_7) &  ~ real_$greatereq(real_41/20, real_7/2)
% 22.15/4.07    &  ~ real_$greatereq(real_-41/70, real_1681/400) &  ~
% 22.15/4.07    real_$greatereq(real_-41/70, real_-20/41) &  ~ real_$greatereq(real_-41/70,
% 22.15/4.07      real_41/20) &  ~ real_$greatereq(real_-41/70, real_111/20) &  ~
% 22.15/4.07    real_$greatereq(real_-41/70, real_29/20) &  ~ real_$greatereq(real_-41/70,
% 22.15/4.07      real_1) &  ~ real_$greatereq(real_-41/70, real_2/7) &  ~
% 22.15/4.07    real_$greatereq(real_-41/70, real_49/4) &  ~ real_$greatereq(real_-41/70,
% 22.15/4.07      real_7) &  ~ real_$greatereq(real_-41/70, real_7/2) &  ~
% 22.15/4.07    real_$greatereq(real_-41/70, real_0) &  ~ real_$greatereq(real_-287/40,
% 22.15/4.07      real_1681/400) &  ~ real_$greatereq(real_-287/40, real_-41/10) &  ~
% 22.15/4.07    real_$greatereq(real_-287/40, real_-70/41) &  ~ real_$greatereq(real_-287/40,
% 22.15/4.07      real_-20/41) &  ~ real_$greatereq(real_-287/40, real_-111/20) &  ~
% 22.15/4.07    real_$greatereq(real_-287/40, real_41/20) &  ~ real_$greatereq(real_-287/40,
% 22.15/4.07      real_-41/70) &  ~ real_$greatereq(real_-287/40, real_111/20) &  ~
% 22.15/4.07    real_$greatereq(real_-287/40, real_29/20) &  ~ real_$greatereq(real_-287/40,
% 22.15/4.07      real_1) &  ~ real_$greatereq(real_-287/40, real_2/7) &  ~
% 22.15/4.07    real_$greatereq(real_-287/40, real_49/4) &  ~ real_$greatereq(real_-287/40,
% 22.15/4.07      real_7) &  ~ real_$greatereq(real_-287/40, real_-7/2) &  ~
% 22.15/4.07    real_$greatereq(real_-287/40, real_7/2) &  ~ real_$greatereq(real_-287/40,
% 22.15/4.07      real_-41/20) &  ~ real_$greatereq(real_-287/40, real_0) &  ~
% 22.15/4.07    real_$greatereq(real_111/20, real_49/4) &  ~ real_$greatereq(real_111/20,
% 22.15/4.07      real_7) &  ~ real_$greatereq(real_29/20, real_1681/400) &  ~
% 22.15/4.07    real_$greatereq(real_29/20, real_41/20) &  ~ real_$greatereq(real_29/20,
% 22.15/4.07      real_111/20) &  ~ real_$greatereq(real_29/20, real_49/4) &  ~
% 22.15/4.07    real_$greatereq(real_29/20, real_7) &  ~ real_$greatereq(real_29/20, real_7/2)
% 22.15/4.07    &  ~ real_$greatereq(real_1, real_1681/400) &  ~ real_$greatereq(real_1,
% 22.15/4.07      real_41/20) &  ~ real_$greatereq(real_1, real_111/20) &  ~
% 22.15/4.07    real_$greatereq(real_1, real_29/20) &  ~ real_$greatereq(real_1, real_49/4) & 
% 22.15/4.07    ~ real_$greatereq(real_1, real_7) &  ~ real_$greatereq(real_1, real_7/2) &  ~
% 22.15/4.07    real_$greatereq(real_2/7, real_1681/400) &  ~ real_$greatereq(real_2/7,
% 22.15/4.07      real_41/20) &  ~ real_$greatereq(real_2/7, real_111/20) &  ~
% 22.15/4.07    real_$greatereq(real_2/7, real_29/20) &  ~ real_$greatereq(real_2/7, real_1) &
% 22.15/4.07     ~ real_$greatereq(real_2/7, real_49/4) &  ~ real_$greatereq(real_2/7, real_7)
% 22.15/4.07    &  ~ real_$greatereq(real_2/7, real_7/2) &  ~ real_$greatereq(real_7,
% 22.15/4.07      real_49/4) &  ~ real_$greatereq(real_-7/2, real_1681/400) &  ~
% 22.15/4.07    real_$greatereq(real_-7/2, real_-70/41) &  ~ real_$greatereq(real_-7/2,
% 22.15/4.07      real_-20/41) &  ~ real_$greatereq(real_-7/2, real_41/20) &  ~
% 22.15/4.07    real_$greatereq(real_-7/2, real_-41/70) &  ~ real_$greatereq(real_-7/2,
% 22.15/4.07      real_111/20) &  ~ real_$greatereq(real_-7/2, real_29/20) &  ~
% 22.15/4.07    real_$greatereq(real_-7/2, real_1) &  ~ real_$greatereq(real_-7/2, real_2/7) &
% 22.15/4.07     ~ real_$greatereq(real_-7/2, real_49/4) &  ~ real_$greatereq(real_-7/2,
% 22.15/4.07      real_7) &  ~ real_$greatereq(real_-7/2, real_7/2) &  ~
% 22.15/4.07    real_$greatereq(real_-7/2, real_-41/20) &  ~ real_$greatereq(real_-7/2,
% 22.15/4.07      real_0) &  ~ real_$greatereq(real_7/2, real_1681/400) &  ~
% 22.15/4.07    real_$greatereq(real_7/2, real_111/20) &  ~ real_$greatereq(real_7/2,
% 22.15/4.07      real_49/4) &  ~ real_$greatereq(real_7/2, real_7) &  ~
% 22.15/4.07    real_$greatereq(real_-41/20, real_1681/400) &  ~ real_$greatereq(real_-41/20,
% 22.15/4.07      real_-70/41) &  ~ real_$greatereq(real_-41/20, real_-20/41) &  ~
% 22.15/4.07    real_$greatereq(real_-41/20, real_41/20) &  ~ real_$greatereq(real_-41/20,
% 22.15/4.07      real_-41/70) &  ~ real_$greatereq(real_-41/20, real_111/20) &  ~
% 22.15/4.07    real_$greatereq(real_-41/20, real_29/20) &  ~ real_$greatereq(real_-41/20,
% 22.15/4.07      real_1) &  ~ real_$greatereq(real_-41/20, real_2/7) &  ~
% 22.15/4.07    real_$greatereq(real_-41/20, real_49/4) &  ~ real_$greatereq(real_-41/20,
% 22.15/4.07      real_7) &  ~ real_$greatereq(real_-41/20, real_7/2) &  ~
% 22.15/4.07    real_$greatereq(real_-41/20, real_0) &  ~ real_$greatereq(real_0,
% 22.15/4.07      real_1681/400) &  ~ real_$greatereq(real_0, real_41/20) &  ~
% 22.15/4.07    real_$greatereq(real_0, real_111/20) &  ~ real_$greatereq(real_0, real_29/20)
% 22.15/4.07    &  ~ real_$greatereq(real_0, real_1) &  ~ real_$greatereq(real_0, real_2/7) & 
% 22.15/4.07    ~ real_$greatereq(real_0, real_49/4) &  ~ real_$greatereq(real_0, real_7) &  ~
% 22.15/4.07    real_$greatereq(real_0, real_7/2) &  ~ real_$greater(real_very_small,
% 22.15/4.07      real_very_large) &  ~ real_$greater(real_1681/400, real_1681/400) &  ~
% 22.15/4.07    real_$greater(real_1681/400, real_111/20) &  ~ real_$greater(real_1681/400,
% 22.15/4.07      real_49/4) &  ~ real_$greater(real_1681/400, real_7) &  ~
% 22.15/4.07    real_$greater(real_-41/10, real_1681/400) &  ~ real_$greater(real_-41/10,
% 22.15/4.07      real_-41/10) &  ~ real_$greater(real_-41/10, real_-70/41) &  ~
% 22.15/4.07    real_$greater(real_-41/10, real_-20/41) &  ~ real_$greater(real_-41/10,
% 22.15/4.07      real_41/20) &  ~ real_$greater(real_-41/10, real_-41/70) &  ~
% 22.15/4.07    real_$greater(real_-41/10, real_111/20) &  ~ real_$greater(real_-41/10,
% 22.15/4.07      real_29/20) &  ~ real_$greater(real_-41/10, real_1) &  ~
% 22.15/4.07    real_$greater(real_-41/10, real_2/7) &  ~ real_$greater(real_-41/10,
% 22.15/4.07      real_49/4) &  ~ real_$greater(real_-41/10, real_7) &  ~
% 22.15/4.07    real_$greater(real_-41/10, real_-7/2) &  ~ real_$greater(real_-41/10,
% 22.15/4.08      real_7/2) &  ~ real_$greater(real_-41/10, real_-41/20) &  ~
% 22.15/4.08    real_$greater(real_-41/10, real_0) &  ~ real_$greater(real_-70/41,
% 22.15/4.08      real_1681/400) &  ~ real_$greater(real_-70/41, real_-70/41) &  ~
% 22.15/4.08    real_$greater(real_-70/41, real_-20/41) &  ~ real_$greater(real_-70/41,
% 22.15/4.08      real_41/20) &  ~ real_$greater(real_-70/41, real_-41/70) &  ~
% 22.15/4.08    real_$greater(real_-70/41, real_111/20) &  ~ real_$greater(real_-70/41,
% 22.15/4.08      real_29/20) &  ~ real_$greater(real_-70/41, real_1) &  ~
% 22.15/4.08    real_$greater(real_-70/41, real_2/7) &  ~ real_$greater(real_-70/41,
% 22.15/4.08      real_49/4) &  ~ real_$greater(real_-70/41, real_7) &  ~
% 22.15/4.08    real_$greater(real_-70/41, real_7/2) &  ~ real_$greater(real_-70/41, real_0) &
% 22.15/4.08     ~ real_$greater(real_-20/41, real_1681/400) &  ~ real_$greater(real_-20/41,
% 22.15/4.08      real_-20/41) &  ~ real_$greater(real_-20/41, real_41/20) &  ~
% 22.15/4.08    real_$greater(real_-20/41, real_111/20) &  ~ real_$greater(real_-20/41,
% 22.15/4.08      real_29/20) &  ~ real_$greater(real_-20/41, real_1) &  ~
% 22.15/4.08    real_$greater(real_-20/41, real_2/7) &  ~ real_$greater(real_-20/41,
% 22.15/4.08      real_49/4) &  ~ real_$greater(real_-20/41, real_7) &  ~
% 22.15/4.08    real_$greater(real_-20/41, real_7/2) &  ~ real_$greater(real_-20/41, real_0) &
% 22.15/4.08     ~ real_$greater(real_-111/20, real_1681/400) &  ~ real_$greater(real_-111/20,
% 22.15/4.08      real_-41/10) &  ~ real_$greater(real_-111/20, real_-70/41) &  ~
% 22.15/4.08    real_$greater(real_-111/20, real_-20/41) &  ~ real_$greater(real_-111/20,
% 22.15/4.08      real_-111/20) &  ~ real_$greater(real_-111/20, real_41/20) &  ~
% 22.15/4.08    real_$greater(real_-111/20, real_-41/70) &  ~ real_$greater(real_-111/20,
% 22.15/4.08      real_111/20) &  ~ real_$greater(real_-111/20, real_29/20) &  ~
% 22.15/4.08    real_$greater(real_-111/20, real_1) &  ~ real_$greater(real_-111/20, real_2/7)
% 22.15/4.08    &  ~ real_$greater(real_-111/20, real_49/4) &  ~ real_$greater(real_-111/20,
% 22.15/4.08      real_7) &  ~ real_$greater(real_-111/20, real_-7/2) &  ~
% 22.15/4.08    real_$greater(real_-111/20, real_7/2) &  ~ real_$greater(real_-111/20,
% 22.15/4.08      real_-41/20) &  ~ real_$greater(real_-111/20, real_0) &  ~
% 22.15/4.08    real_$greater(real_41/20, real_1681/400) &  ~ real_$greater(real_41/20,
% 22.15/4.08      real_41/20) &  ~ real_$greater(real_41/20, real_111/20) &  ~
% 22.15/4.08    real_$greater(real_41/20, real_49/4) &  ~ real_$greater(real_41/20, real_7) & 
% 22.15/4.08    ~ real_$greater(real_41/20, real_7/2) &  ~ real_$greater(real_-41/70,
% 22.15/4.08      real_1681/400) &  ~ real_$greater(real_-41/70, real_-20/41) &  ~
% 22.15/4.08    real_$greater(real_-41/70, real_41/20) &  ~ real_$greater(real_-41/70,
% 22.15/4.08      real_-41/70) &  ~ real_$greater(real_-41/70, real_111/20) &  ~
% 22.15/4.08    real_$greater(real_-41/70, real_29/20) &  ~ real_$greater(real_-41/70, real_1)
% 22.15/4.08    &  ~ real_$greater(real_-41/70, real_2/7) &  ~ real_$greater(real_-41/70,
% 22.15/4.08      real_49/4) &  ~ real_$greater(real_-41/70, real_7) &  ~
% 22.15/4.08    real_$greater(real_-41/70, real_7/2) &  ~ real_$greater(real_-41/70, real_0) &
% 22.15/4.08     ~ real_$greater(real_-287/40, real_1681/400) &  ~ real_$greater(real_-287/40,
% 22.15/4.08      real_-41/10) &  ~ real_$greater(real_-287/40, real_-70/41) &  ~
% 22.15/4.08    real_$greater(real_-287/40, real_-20/41) &  ~ real_$greater(real_-287/40,
% 22.15/4.08      real_-111/20) &  ~ real_$greater(real_-287/40, real_41/20) &  ~
% 22.15/4.08    real_$greater(real_-287/40, real_-41/70) &  ~ real_$greater(real_-287/40,
% 22.15/4.08      real_-287/40) &  ~ real_$greater(real_-287/40, real_111/20) &  ~
% 22.15/4.08    real_$greater(real_-287/40, real_29/20) &  ~ real_$greater(real_-287/40,
% 22.15/4.08      real_1) &  ~ real_$greater(real_-287/40, real_2/7) &  ~
% 22.15/4.08    real_$greater(real_-287/40, real_49/4) &  ~ real_$greater(real_-287/40,
% 22.15/4.08      real_7) &  ~ real_$greater(real_-287/40, real_-7/2) &  ~
% 22.15/4.08    real_$greater(real_-287/40, real_7/2) &  ~ real_$greater(real_-287/40,
% 22.15/4.08      real_-41/20) &  ~ real_$greater(real_-287/40, real_0) &  ~
% 22.15/4.08    real_$greater(real_111/20, real_111/20) &  ~ real_$greater(real_111/20,
% 22.15/4.08      real_49/4) &  ~ real_$greater(real_111/20, real_7) &  ~
% 22.15/4.08    real_$greater(real_29/20, real_1681/400) &  ~ real_$greater(real_29/20,
% 22.15/4.08      real_41/20) &  ~ real_$greater(real_29/20, real_111/20) &  ~
% 22.15/4.08    real_$greater(real_29/20, real_29/20) &  ~ real_$greater(real_29/20,
% 22.15/4.08      real_49/4) &  ~ real_$greater(real_29/20, real_7) &  ~
% 22.15/4.08    real_$greater(real_29/20, real_7/2) &  ~ real_$greater(real_1, real_1681/400)
% 22.15/4.08    &  ~ real_$greater(real_1, real_41/20) &  ~ real_$greater(real_1, real_111/20)
% 22.15/4.08    &  ~ real_$greater(real_1, real_29/20) &  ~ real_$greater(real_1, real_1) &  ~
% 22.15/4.08    real_$greater(real_1, real_49/4) &  ~ real_$greater(real_1, real_7) &  ~
% 22.15/4.08    real_$greater(real_1, real_7/2) &  ~ real_$greater(real_2/7, real_1681/400) & 
% 22.15/4.08    ~ real_$greater(real_2/7, real_41/20) &  ~ real_$greater(real_2/7,
% 22.15/4.08      real_111/20) &  ~ real_$greater(real_2/7, real_29/20) &  ~
% 22.15/4.08    real_$greater(real_2/7, real_1) &  ~ real_$greater(real_2/7, real_2/7) &  ~
% 22.15/4.08    real_$greater(real_2/7, real_49/4) &  ~ real_$greater(real_2/7, real_7) &  ~
% 22.15/4.08    real_$greater(real_2/7, real_7/2) &  ~ real_$greater(real_49/4, real_49/4) & 
% 22.15/4.08    ~ real_$greater(real_7, real_49/4) &  ~ real_$greater(real_7, real_7) &  ~
% 22.15/4.08    real_$greater(real_-7/2, real_1681/400) &  ~ real_$greater(real_-7/2,
% 22.15/4.08      real_-70/41) &  ~ real_$greater(real_-7/2, real_-20/41) &  ~
% 22.15/4.08    real_$greater(real_-7/2, real_41/20) &  ~ real_$greater(real_-7/2,
% 22.15/4.08      real_-41/70) &  ~ real_$greater(real_-7/2, real_111/20) &  ~
% 22.15/4.08    real_$greater(real_-7/2, real_29/20) &  ~ real_$greater(real_-7/2, real_1) & 
% 22.15/4.08    ~ real_$greater(real_-7/2, real_2/7) &  ~ real_$greater(real_-7/2, real_49/4)
% 22.15/4.08    &  ~ real_$greater(real_-7/2, real_7) &  ~ real_$greater(real_-7/2, real_-7/2)
% 22.15/4.08    &  ~ real_$greater(real_-7/2, real_7/2) &  ~ real_$greater(real_-7/2,
% 22.15/4.08      real_-41/20) &  ~ real_$greater(real_-7/2, real_0) &  ~
% 22.15/4.08    real_$greater(real_7/2, real_1681/400) &  ~ real_$greater(real_7/2,
% 22.15/4.08      real_111/20) &  ~ real_$greater(real_7/2, real_49/4) &  ~
% 22.15/4.08    real_$greater(real_7/2, real_7) &  ~ real_$greater(real_7/2, real_7/2) &  ~
% 22.15/4.08    real_$greater(real_-41/20, real_1681/400) &  ~ real_$greater(real_-41/20,
% 22.15/4.08      real_-70/41) &  ~ real_$greater(real_-41/20, real_-20/41) &  ~
% 22.15/4.08    real_$greater(real_-41/20, real_41/20) &  ~ real_$greater(real_-41/20,
% 22.15/4.08      real_-41/70) &  ~ real_$greater(real_-41/20, real_111/20) &  ~
% 22.15/4.08    real_$greater(real_-41/20, real_29/20) &  ~ real_$greater(real_-41/20, real_1)
% 22.15/4.08    &  ~ real_$greater(real_-41/20, real_2/7) &  ~ real_$greater(real_-41/20,
% 22.15/4.08      real_49/4) &  ~ real_$greater(real_-41/20, real_7) &  ~
% 22.15/4.08    real_$greater(real_-41/20, real_7/2) &  ~ real_$greater(real_-41/20,
% 22.15/4.08      real_-41/20) &  ~ real_$greater(real_-41/20, real_0) &  ~
% 22.15/4.08    real_$greater(real_0, real_1681/400) &  ~ real_$greater(real_0, real_41/20) & 
% 22.15/4.08    ~ real_$greater(real_0, real_111/20) &  ~ real_$greater(real_0, real_29/20) & 
% 22.15/4.08    ~ real_$greater(real_0, real_1) &  ~ real_$greater(real_0, real_2/7) &  ~
% 22.15/4.08    real_$greater(real_0, real_49/4) &  ~ real_$greater(real_0, real_7) &  ~
% 22.15/4.08    real_$greater(real_0, real_7/2) &  ~ real_$greater(real_0, real_0) &  ~
% 22.15/4.08    real_$lesseq(real_1681/400, real_-41/10) &  ~ real_$lesseq(real_1681/400,
% 22.15/4.08      real_-70/41) &  ~ real_$lesseq(real_1681/400, real_-20/41) &  ~
% 22.15/4.08    real_$lesseq(real_1681/400, real_-111/20) &  ~ real_$lesseq(real_1681/400,
% 22.15/4.08      real_41/20) &  ~ real_$lesseq(real_1681/400, real_-41/70) &  ~
% 22.15/4.08    real_$lesseq(real_1681/400, real_-287/40) &  ~ real_$lesseq(real_1681/400,
% 22.15/4.08      real_29/20) &  ~ real_$lesseq(real_1681/400, real_1) &  ~
% 22.15/4.08    real_$lesseq(real_1681/400, real_2/7) &  ~ real_$lesseq(real_1681/400,
% 22.15/4.08      real_-7/2) &  ~ real_$lesseq(real_1681/400, real_7/2) &  ~
% 22.15/4.08    real_$lesseq(real_1681/400, real_-41/20) &  ~ real_$lesseq(real_1681/400,
% 22.15/4.08      real_0) &  ~ real_$lesseq(real_-41/10, real_-111/20) &  ~
% 22.15/4.08    real_$lesseq(real_-41/10, real_-287/40) &  ~ real_$lesseq(real_-70/41,
% 22.15/4.08      real_-41/10) &  ~ real_$lesseq(real_-70/41, real_-111/20) &  ~
% 22.15/4.08    real_$lesseq(real_-70/41, real_-287/40) &  ~ real_$lesseq(real_-70/41,
% 22.15/4.08      real_-7/2) &  ~ real_$lesseq(real_-70/41, real_-41/20) &  ~
% 22.15/4.08    real_$lesseq(real_-20/41, real_-41/10) &  ~ real_$lesseq(real_-20/41,
% 22.15/4.08      real_-70/41) &  ~ real_$lesseq(real_-20/41, real_-111/20) &  ~
% 22.15/4.08    real_$lesseq(real_-20/41, real_-41/70) &  ~ real_$lesseq(real_-20/41,
% 22.15/4.08      real_-287/40) &  ~ real_$lesseq(real_-20/41, real_-7/2) &  ~
% 22.15/4.08    real_$lesseq(real_-20/41, real_-41/20) &  ~ real_$lesseq(real_-111/20,
% 22.15/4.08      real_-287/40) &  ~ real_$lesseq(real_41/20, real_-41/10) &  ~
% 22.15/4.08    real_$lesseq(real_41/20, real_-70/41) &  ~ real_$lesseq(real_41/20,
% 22.15/4.08      real_-20/41) &  ~ real_$lesseq(real_41/20, real_-111/20) &  ~
% 22.15/4.08    real_$lesseq(real_41/20, real_-41/70) &  ~ real_$lesseq(real_41/20,
% 22.15/4.08      real_-287/40) &  ~ real_$lesseq(real_41/20, real_29/20) &  ~
% 22.15/4.08    real_$lesseq(real_41/20, real_1) &  ~ real_$lesseq(real_41/20, real_2/7) &  ~
% 22.15/4.08    real_$lesseq(real_41/20, real_-7/2) &  ~ real_$lesseq(real_41/20, real_-41/20)
% 22.15/4.08    &  ~ real_$lesseq(real_41/20, real_0) &  ~ real_$lesseq(real_-41/70,
% 22.15/4.08      real_-41/10) &  ~ real_$lesseq(real_-41/70, real_-70/41) &  ~
% 22.15/4.08    real_$lesseq(real_-41/70, real_-111/20) &  ~ real_$lesseq(real_-41/70,
% 22.15/4.08      real_-287/40) &  ~ real_$lesseq(real_-41/70, real_-7/2) &  ~
% 22.15/4.08    real_$lesseq(real_-41/70, real_-41/20) &  ~ real_$lesseq(real_111/20,
% 22.15/4.08      real_1681/400) &  ~ real_$lesseq(real_111/20, real_-41/10) &  ~
% 22.15/4.08    real_$lesseq(real_111/20, real_-70/41) &  ~ real_$lesseq(real_111/20,
% 22.15/4.08      real_-20/41) &  ~ real_$lesseq(real_111/20, real_-111/20) &  ~
% 22.15/4.08    real_$lesseq(real_111/20, real_41/20) &  ~ real_$lesseq(real_111/20,
% 22.15/4.08      real_-41/70) &  ~ real_$lesseq(real_111/20, real_-287/40) &  ~
% 22.15/4.08    real_$lesseq(real_111/20, real_29/20) &  ~ real_$lesseq(real_111/20, real_1) &
% 22.15/4.08     ~ real_$lesseq(real_111/20, real_2/7) &  ~ real_$lesseq(real_111/20,
% 22.15/4.08      real_-7/2) &  ~ real_$lesseq(real_111/20, real_7/2) &  ~
% 22.15/4.08    real_$lesseq(real_111/20, real_-41/20) &  ~ real_$lesseq(real_111/20, real_0)
% 22.15/4.08    &  ~ real_$lesseq(real_29/20, real_-41/10) &  ~ real_$lesseq(real_29/20,
% 22.15/4.08      real_-70/41) &  ~ real_$lesseq(real_29/20, real_-20/41) &  ~
% 22.15/4.08    real_$lesseq(real_29/20, real_-111/20) &  ~ real_$lesseq(real_29/20,
% 22.15/4.08      real_-41/70) &  ~ real_$lesseq(real_29/20, real_-287/40) &  ~
% 22.15/4.08    real_$lesseq(real_29/20, real_1) &  ~ real_$lesseq(real_29/20, real_2/7) &  ~
% 22.15/4.08    real_$lesseq(real_29/20, real_-7/2) &  ~ real_$lesseq(real_29/20, real_-41/20)
% 22.15/4.08    &  ~ real_$lesseq(real_29/20, real_0) &  ~ real_$lesseq(real_1, real_-41/10) &
% 22.15/4.08     ~ real_$lesseq(real_1, real_-70/41) &  ~ real_$lesseq(real_1, real_-20/41) & 
% 22.15/4.08    ~ real_$lesseq(real_1, real_-111/20) &  ~ real_$lesseq(real_1, real_-41/70) & 
% 22.15/4.08    ~ real_$lesseq(real_1, real_-287/40) &  ~ real_$lesseq(real_1, real_2/7) &  ~
% 22.15/4.08    real_$lesseq(real_1, real_-7/2) &  ~ real_$lesseq(real_1, real_-41/20) &  ~
% 22.15/4.08    real_$lesseq(real_1, real_0) &  ~ real_$lesseq(real_2/7, real_-41/10) &  ~
% 22.15/4.08    real_$lesseq(real_2/7, real_-70/41) &  ~ real_$lesseq(real_2/7, real_-20/41) &
% 22.15/4.08     ~ real_$lesseq(real_2/7, real_-111/20) &  ~ real_$lesseq(real_2/7,
% 22.15/4.08      real_-41/70) &  ~ real_$lesseq(real_2/7, real_-287/40) &  ~
% 22.15/4.08    real_$lesseq(real_2/7, real_-7/2) &  ~ real_$lesseq(real_2/7, real_-41/20) & 
% 22.15/4.08    ~ real_$lesseq(real_2/7, real_0) &  ~ real_$lesseq(real_49/4, real_1681/400) &
% 22.15/4.08     ~ real_$lesseq(real_49/4, real_-41/10) &  ~ real_$lesseq(real_49/4,
% 22.15/4.08      real_-70/41) &  ~ real_$lesseq(real_49/4, real_-20/41) &  ~
% 22.15/4.08    real_$lesseq(real_49/4, real_-111/20) &  ~ real_$lesseq(real_49/4, real_41/20)
% 22.15/4.08    &  ~ real_$lesseq(real_49/4, real_-41/70) &  ~ real_$lesseq(real_49/4,
% 22.15/4.08      real_-287/40) &  ~ real_$lesseq(real_49/4, real_111/20) &  ~
% 22.15/4.08    real_$lesseq(real_49/4, real_29/20) &  ~ real_$lesseq(real_49/4, real_1) &  ~
% 22.15/4.08    real_$lesseq(real_49/4, real_2/7) &  ~ real_$lesseq(real_49/4, real_7) &  ~
% 22.15/4.08    real_$lesseq(real_49/4, real_-7/2) &  ~ real_$lesseq(real_49/4, real_7/2) &  ~
% 22.15/4.08    real_$lesseq(real_49/4, real_-41/20) &  ~ real_$lesseq(real_49/4, real_0) &  ~
% 22.15/4.08    real_$lesseq(real_7, real_1681/400) &  ~ real_$lesseq(real_7, real_-41/10) & 
% 22.15/4.08    ~ real_$lesseq(real_7, real_-70/41) &  ~ real_$lesseq(real_7, real_-20/41) & 
% 22.15/4.08    ~ real_$lesseq(real_7, real_-111/20) &  ~ real_$lesseq(real_7, real_41/20) & 
% 22.15/4.08    ~ real_$lesseq(real_7, real_-41/70) &  ~ real_$lesseq(real_7, real_-287/40) & 
% 22.15/4.08    ~ real_$lesseq(real_7, real_111/20) &  ~ real_$lesseq(real_7, real_29/20) &  ~
% 22.15/4.08    real_$lesseq(real_7, real_1) &  ~ real_$lesseq(real_7, real_2/7) &  ~
% 22.15/4.08    real_$lesseq(real_7, real_-7/2) &  ~ real_$lesseq(real_7, real_7/2) &  ~
% 22.15/4.08    real_$lesseq(real_7, real_-41/20) &  ~ real_$lesseq(real_7, real_0) &  ~
% 22.15/4.08    real_$lesseq(real_-7/2, real_-41/10) &  ~ real_$lesseq(real_-7/2,
% 22.15/4.08      real_-111/20) &  ~ real_$lesseq(real_-7/2, real_-287/40) &  ~
% 22.15/4.08    real_$lesseq(real_7/2, real_-41/10) &  ~ real_$lesseq(real_7/2, real_-70/41) &
% 22.15/4.08     ~ real_$lesseq(real_7/2, real_-20/41) &  ~ real_$lesseq(real_7/2,
% 22.15/4.08      real_-111/20) &  ~ real_$lesseq(real_7/2, real_41/20) &  ~
% 22.15/4.08    real_$lesseq(real_7/2, real_-41/70) &  ~ real_$lesseq(real_7/2, real_-287/40)
% 22.15/4.08    &  ~ real_$lesseq(real_7/2, real_29/20) &  ~ real_$lesseq(real_7/2, real_1) & 
% 22.15/4.08    ~ real_$lesseq(real_7/2, real_2/7) &  ~ real_$lesseq(real_7/2, real_-7/2) &  ~
% 22.15/4.08    real_$lesseq(real_7/2, real_-41/20) &  ~ real_$lesseq(real_7/2, real_0) &  ~
% 22.15/4.08    real_$lesseq(real_-41/20, real_-41/10) &  ~ real_$lesseq(real_-41/20,
% 22.15/4.08      real_-111/20) &  ~ real_$lesseq(real_-41/20, real_-287/40) &  ~
% 22.15/4.08    real_$lesseq(real_-41/20, real_-7/2) &  ~ real_$lesseq(real_0, real_-41/10) & 
% 22.15/4.08    ~ real_$lesseq(real_0, real_-70/41) &  ~ real_$lesseq(real_0, real_-20/41) & 
% 22.15/4.08    ~ real_$lesseq(real_0, real_-111/20) &  ~ real_$lesseq(real_0, real_-41/70) & 
% 22.15/4.08    ~ real_$lesseq(real_0, real_-287/40) &  ~ real_$lesseq(real_0, real_-7/2) &  ~
% 22.15/4.08    real_$lesseq(real_0, real_-41/20) &  ~ real_$less(real_1681/400,
% 22.15/4.08      real_1681/400) &  ~ real_$less(real_1681/400, real_-41/10) &  ~
% 22.15/4.08    real_$less(real_1681/400, real_-70/41) &  ~ real_$less(real_1681/400,
% 22.15/4.08      real_-20/41) &  ~ real_$less(real_1681/400, real_-111/20) &  ~
% 22.15/4.08    real_$less(real_1681/400, real_41/20) &  ~ real_$less(real_1681/400,
% 22.15/4.08      real_-41/70) &  ~ real_$less(real_1681/400, real_-287/40) &  ~
% 22.15/4.08    real_$less(real_1681/400, real_29/20) &  ~ real_$less(real_1681/400, real_1) &
% 22.15/4.08     ~ real_$less(real_1681/400, real_2/7) &  ~ real_$less(real_1681/400,
% 22.15/4.08      real_-7/2) &  ~ real_$less(real_1681/400, real_7/2) &  ~
% 22.15/4.08    real_$less(real_1681/400, real_-41/20) &  ~ real_$less(real_1681/400, real_0)
% 22.15/4.08    &  ~ real_$less(real_-41/10, real_-41/10) &  ~ real_$less(real_-41/10,
% 22.15/4.08      real_-111/20) &  ~ real_$less(real_-41/10, real_-287/40) &  ~
% 22.15/4.08    real_$less(real_-70/41, real_-41/10) &  ~ real_$less(real_-70/41, real_-70/41)
% 22.15/4.08    &  ~ real_$less(real_-70/41, real_-111/20) &  ~ real_$less(real_-70/41,
% 22.15/4.08      real_-287/40) &  ~ real_$less(real_-70/41, real_-7/2) &  ~
% 22.15/4.08    real_$less(real_-70/41, real_-41/20) &  ~ real_$less(real_-20/41, real_-41/10)
% 22.15/4.08    &  ~ real_$less(real_-20/41, real_-70/41) &  ~ real_$less(real_-20/41,
% 22.15/4.08      real_-20/41) &  ~ real_$less(real_-20/41, real_-111/20) &  ~
% 22.15/4.08    real_$less(real_-20/41, real_-41/70) &  ~ real_$less(real_-20/41,
% 22.15/4.08      real_-287/40) &  ~ real_$less(real_-20/41, real_-7/2) &  ~
% 22.15/4.08    real_$less(real_-20/41, real_-41/20) &  ~ real_$less(real_-111/20,
% 22.15/4.08      real_-111/20) &  ~ real_$less(real_-111/20, real_-287/40) &  ~
% 22.15/4.08    real_$less(real_41/20, real_-41/10) &  ~ real_$less(real_41/20, real_-70/41) &
% 22.15/4.08     ~ real_$less(real_41/20, real_-20/41) &  ~ real_$less(real_41/20,
% 22.15/4.08      real_-111/20) &  ~ real_$less(real_41/20, real_41/20) &  ~
% 22.15/4.08    real_$less(real_41/20, real_-41/70) &  ~ real_$less(real_41/20, real_-287/40)
% 22.15/4.08    &  ~ real_$less(real_41/20, real_29/20) &  ~ real_$less(real_41/20, real_1) & 
% 22.15/4.08    ~ real_$less(real_41/20, real_2/7) &  ~ real_$less(real_41/20, real_-7/2) &  ~
% 22.15/4.08    real_$less(real_41/20, real_-41/20) &  ~ real_$less(real_41/20, real_0) &  ~
% 22.15/4.08    real_$less(real_-41/70, real_-41/10) &  ~ real_$less(real_-41/70, real_-70/41)
% 22.15/4.08    &  ~ real_$less(real_-41/70, real_-111/20) &  ~ real_$less(real_-41/70,
% 22.15/4.08      real_-41/70) &  ~ real_$less(real_-41/70, real_-287/40) &  ~
% 22.15/4.08    real_$less(real_-41/70, real_-7/2) &  ~ real_$less(real_-41/70, real_-41/20) &
% 22.15/4.08     ~ real_$less(real_-287/40, real_-287/40) &  ~ real_$less(real_111/20,
% 22.15/4.08      real_1681/400) &  ~ real_$less(real_111/20, real_-41/10) &  ~
% 22.15/4.08    real_$less(real_111/20, real_-70/41) &  ~ real_$less(real_111/20, real_-20/41)
% 22.15/4.08    &  ~ real_$less(real_111/20, real_-111/20) &  ~ real_$less(real_111/20,
% 22.15/4.08      real_41/20) &  ~ real_$less(real_111/20, real_-41/70) &  ~
% 22.15/4.08    real_$less(real_111/20, real_-287/40) &  ~ real_$less(real_111/20,
% 22.15/4.08      real_111/20) &  ~ real_$less(real_111/20, real_29/20) &  ~
% 22.15/4.08    real_$less(real_111/20, real_1) &  ~ real_$less(real_111/20, real_2/7) &  ~
% 22.15/4.08    real_$less(real_111/20, real_-7/2) &  ~ real_$less(real_111/20, real_7/2) &  ~
% 22.15/4.08    real_$less(real_111/20, real_-41/20) &  ~ real_$less(real_111/20, real_0) &  ~
% 22.15/4.08    real_$less(real_29/20, real_-41/10) &  ~ real_$less(real_29/20, real_-70/41) &
% 22.15/4.08     ~ real_$less(real_29/20, real_-20/41) &  ~ real_$less(real_29/20,
% 22.15/4.08      real_-111/20) &  ~ real_$less(real_29/20, real_-41/70) &  ~
% 22.15/4.08    real_$less(real_29/20, real_-287/40) &  ~ real_$less(real_29/20, real_29/20) &
% 22.15/4.08     ~ real_$less(real_29/20, real_1) &  ~ real_$less(real_29/20, real_2/7) &  ~
% 22.15/4.08    real_$less(real_29/20, real_-7/2) &  ~ real_$less(real_29/20, real_-41/20) & 
% 22.15/4.08    ~ real_$less(real_29/20, real_0) &  ~ real_$less(real_1, real_-41/10) &  ~
% 22.15/4.08    real_$less(real_1, real_-70/41) &  ~ real_$less(real_1, real_-20/41) &  ~
% 22.15/4.08    real_$less(real_1, real_-111/20) &  ~ real_$less(real_1, real_-41/70) &  ~
% 22.15/4.08    real_$less(real_1, real_-287/40) &  ~ real_$less(real_1, real_1) &  ~
% 22.15/4.08    real_$less(real_1, real_2/7) &  ~ real_$less(real_1, real_-7/2) &  ~
% 22.15/4.08    real_$less(real_1, real_-41/20) &  ~ real_$less(real_1, real_0) &  ~
% 22.15/4.08    real_$less(real_2/7, real_-41/10) &  ~ real_$less(real_2/7, real_-70/41) &  ~
% 22.15/4.08    real_$less(real_2/7, real_-20/41) &  ~ real_$less(real_2/7, real_-111/20) &  ~
% 22.15/4.08    real_$less(real_2/7, real_-41/70) &  ~ real_$less(real_2/7, real_-287/40) &  ~
% 22.15/4.08    real_$less(real_2/7, real_2/7) &  ~ real_$less(real_2/7, real_-7/2) &  ~
% 22.15/4.08    real_$less(real_2/7, real_-41/20) &  ~ real_$less(real_2/7, real_0) &  ~
% 22.15/4.08    real_$less(real_49/4, real_1681/400) &  ~ real_$less(real_49/4, real_-41/10) &
% 22.15/4.08     ~ real_$less(real_49/4, real_-70/41) &  ~ real_$less(real_49/4, real_-20/41)
% 22.15/4.08    &  ~ real_$less(real_49/4, real_-111/20) &  ~ real_$less(real_49/4,
% 22.15/4.08      real_41/20) &  ~ real_$less(real_49/4, real_-41/70) &  ~
% 22.15/4.08    real_$less(real_49/4, real_-287/40) &  ~ real_$less(real_49/4, real_111/20) & 
% 22.15/4.08    ~ real_$less(real_49/4, real_29/20) &  ~ real_$less(real_49/4, real_1) &  ~
% 22.15/4.08    real_$less(real_49/4, real_2/7) &  ~ real_$less(real_49/4, real_49/4) &  ~
% 22.15/4.08    real_$less(real_49/4, real_7) &  ~ real_$less(real_49/4, real_-7/2) &  ~
% 22.15/4.08    real_$less(real_49/4, real_7/2) &  ~ real_$less(real_49/4, real_-41/20) &  ~
% 22.15/4.08    real_$less(real_49/4, real_0) &  ~ real_$less(real_7, real_1681/400) &  ~
% 22.15/4.08    real_$less(real_7, real_-41/10) &  ~ real_$less(real_7, real_-70/41) &  ~
% 22.15/4.08    real_$less(real_7, real_-20/41) &  ~ real_$less(real_7, real_-111/20) &  ~
% 22.15/4.08    real_$less(real_7, real_41/20) &  ~ real_$less(real_7, real_-41/70) &  ~
% 22.15/4.08    real_$less(real_7, real_-287/40) &  ~ real_$less(real_7, real_111/20) &  ~
% 22.15/4.08    real_$less(real_7, real_29/20) &  ~ real_$less(real_7, real_1) &  ~
% 22.15/4.08    real_$less(real_7, real_2/7) &  ~ real_$less(real_7, real_7) &  ~
% 22.15/4.08    real_$less(real_7, real_-7/2) &  ~ real_$less(real_7, real_7/2) &  ~
% 22.15/4.08    real_$less(real_7, real_-41/20) &  ~ real_$less(real_7, real_0) &  ~
% 22.15/4.08    real_$less(real_-7/2, real_-41/10) &  ~ real_$less(real_-7/2, real_-111/20) & 
% 22.15/4.08    ~ real_$less(real_-7/2, real_-287/40) &  ~ real_$less(real_-7/2, real_-7/2) & 
% 22.15/4.08    ~ real_$less(real_7/2, real_-41/10) &  ~ real_$less(real_7/2, real_-70/41) & 
% 22.15/4.08    ~ real_$less(real_7/2, real_-20/41) &  ~ real_$less(real_7/2, real_-111/20) & 
% 22.15/4.08    ~ real_$less(real_7/2, real_41/20) &  ~ real_$less(real_7/2, real_-41/70) &  ~
% 22.15/4.08    real_$less(real_7/2, real_-287/40) &  ~ real_$less(real_7/2, real_29/20) &  ~
% 22.15/4.08    real_$less(real_7/2, real_1) &  ~ real_$less(real_7/2, real_2/7) &  ~
% 22.15/4.08    real_$less(real_7/2, real_-7/2) &  ~ real_$less(real_7/2, real_7/2) &  ~
% 22.15/4.08    real_$less(real_7/2, real_-41/20) &  ~ real_$less(real_7/2, real_0) &  ~
% 22.15/4.08    real_$less(real_-41/20, real_-41/10) &  ~ real_$less(real_-41/20,
% 22.15/4.08      real_-111/20) &  ~ real_$less(real_-41/20, real_-287/40) &  ~
% 22.15/4.08    real_$less(real_-41/20, real_-7/2) &  ~ real_$less(real_-41/20, real_-41/20) &
% 22.15/4.08     ~ real_$less(real_0, real_-41/10) &  ~ real_$less(real_0, real_-70/41) &  ~
% 22.15/4.08    real_$less(real_0, real_-20/41) &  ~ real_$less(real_0, real_-111/20) &  ~
% 22.15/4.08    real_$less(real_0, real_-41/70) &  ~ real_$less(real_0, real_-287/40) &  ~
% 22.15/4.08    real_$less(real_0, real_-7/2) &  ~ real_$less(real_0, real_-41/20) &  ~
% 22.15/4.08    real_$less(real_0, real_0) &  ! [v0: $real] :  ! [v1: $real] :  ! [v2: $real]
% 22.15/4.08    :  ! [v3: $real] :  ! [v4: $real] : ( ~ (real_$sum(v3, v0) = v4) |  ~
% 22.15/4.08      (real_$sum(v2, v1) = v3) |  ? [v5: $real] : (real_$sum(v2, v5) = v4 &
% 22.15/4.08        real_$sum(v1, v0) = v5)) &  ! [v0: $real] :  ! [v1: $real] :  ! [v2:
% 22.15/4.08      $real] :  ! [v3: $real] :  ! [v4: $real] : ( ~ (real_$sum(v2, v3) = v4) |  ~
% 22.15/4.08      (real_$sum(v1, v0) = v3) |  ? [v5: $real] : (real_$sum(v5, v0) = v4 &
% 22.15/4.08        real_$sum(v2, v1) = v5)) &  ! [v0: $real] :  ! [v1: $real] :  ! [v2:
% 22.15/4.08      $real] :  ! [v3: $real] : ( ~ (real_$uminus(v0) = v2) |  ~ (real_$sum(v1,
% 22.15/4.08          v2) = v3) | real_$difference(v1, v0) = v3) &  ! [v0: $real] :  ! [v1:
% 22.15/4.08      $real] :  ! [v2: $real] : (v0 = real_0 |  ~ (real_$product(v1, v0) = v2) |
% 22.15/4.08      real_$quotient(v2, v0) = v1) &  ! [v0: $real] :  ! [v1: $real] :  ! [v2:
% 22.15/4.08      $real] : ( ~ (real_$product(v1, v0) = v2) | real_$product(v0, v1) = v2) &  !
% 22.15/4.08    [v0: $real] :  ! [v1: $real] :  ! [v2: $real] : ( ~ (real_$product(v0, v1) =
% 22.15/4.08        v2) | real_$product(v1, v0) = v2) &  ! [v0: $real] :  ! [v1: $real] :  !
% 22.15/4.08    [v2: $real] : ( ~ (real_$difference(v1, v0) = v2) |  ? [v3: $real] :
% 22.15/4.08      (real_$uminus(v0) = v3 & real_$sum(v1, v3) = v2)) &  ! [v0: $real] :  ! [v1:
% 22.15/4.08      $real] :  ! [v2: $real] : ( ~ (real_$sum(v1, v0) = v2) | real_$sum(v0, v1) =
% 22.15/4.08      v2) &  ! [v0: $real] :  ! [v1: $real] :  ! [v2: $real] : ( ~ (real_$sum(v0,
% 22.15/4.08          v1) = v2) | real_$sum(v1, v0) = v2) &  ! [v0: $real] :  ! [v1: $real] : 
% 22.15/4.08    ! [v2: $real] : ( ~ real_$lesseq(v2, v1) |  ~ real_$lesseq(v1, v0) |
% 22.15/4.08      real_$lesseq(v2, v0)) &  ! [v0: $real] :  ! [v1: $real] :  ! [v2: $real] : (
% 22.15/4.08      ~ real_$lesseq(v2, v1) |  ~ real_$less(v1, v0) | real_$less(v2, v0)) &  !
% 22.15/4.08    [v0: $real] :  ! [v1: $real] :  ! [v2: $real] : ( ~ real_$lesseq(v1, v0) |  ~
% 22.15/4.08      real_$less(v2, v1) | real_$less(v2, v0)) &  ! [v0: $real] :  ! [v1: $real] :
% 22.15/4.08    (v1 = v0 |  ~ (real_$sum(v0, real_0) = v1)) &  ! [v0: $real] :  ! [v1: $real]
% 22.15/4.08    : (v1 = v0 |  ~ real_$lesseq(v1, v0) | real_$less(v1, v0)) &  ! [v0: $real] : 
% 22.15/4.08    ! [v1: $real] : ( ~ (real_$uminus(v0) = v1) | real_$uminus(v1) = v0) &  ! [v0:
% 22.15/4.08      $real] :  ! [v1: $real] : ( ~ (real_$uminus(v0) = v1) | real_$sum(v0, v1) =
% 22.15/4.08      real_0) &  ! [v0: $real] :  ! [v1: $real] : ( ~ real_$greatereq(v0, v1) |
% 22.15/4.08      real_$lesseq(v1, v0)) &  ! [v0: $real] :  ! [v1: $real] : ( ~
% 22.15/4.08      real_$greater(v0, v1) | real_$less(v1, v0)) &  ! [v0: $real] :  ! [v1:
% 22.15/4.08      $real] : ( ~ real_$lesseq(v1, v0) | real_$greatereq(v0, v1)) &  ! [v0:
% 22.15/4.08      $real] :  ! [v1: $real] : ( ~ real_$less(v1, v0) | real_$greater(v0, v1)) & 
% 22.15/4.08    ! [v0: $real] :  ! [v1: $real] : ( ~ real_$less(v1, v0) | real_$lesseq(v1,
% 22.15/4.08        v0)) &  ! [v0: $real] : (v0 = real_0 |  ~ (real_$uminus(v0) = v0)) &  ?
% 22.15/4.08    [v0: $real] : real_$lesseq(v0, v0)
% 22.15/4.08  
% 22.15/4.08  Those formulas are unsatisfiable:
% 22.15/4.08  ---------------------------------
% 22.15/4.08  
% 22.15/4.08  Begin of proof
% 22.15/4.08  | 
% 22.15/4.08  | ALPHA: (input) implies:
% 22.15/4.08  |   (1)  real_$sum(real_111/20, real_-41/20) = real_7/2
% 22.15/4.08  | 
% 22.15/4.09  | GROUND_INST: instantiating (real_sum_problem_22) with real_111/20, simplifying
% 22.15/4.09  |              with (1) gives:
% 22.15/4.09  |   (2)  $false
% 22.15/4.09  | 
% 22.15/4.09  | CLOSE: (2) is inconsistent.
% 22.15/4.09  | 
% 22.15/4.09  End of proof
% 22.15/4.09  % SZS output end Proof for theBenchmark
% 22.15/4.09  
% 22.15/4.09  3453ms
%------------------------------------------------------------------------------