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Princess---230619.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : ARI420_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 : n026.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 17:47:58 EDT 2023

% Result   : Theorem 13.27s 2.61s
% Output   : Proof 20.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ARI420_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.35  % Computer : n026.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Aug 29 19:05:05 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.63  ________       _____
% 0.20/0.63  ___  __ \_________(_)________________________________
% 0.20/0.63  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.20/0.63  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.20/0.63  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.20/0.63  
% 0.20/0.63  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.63  (2023-06-19)
% 0.20/0.63  
% 0.20/0.63  (c) Philipp Rümmer, 2009-2023
% 0.20/0.63  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.63                Amanda Stjerna.
% 0.20/0.63  Free software under BSD-3-Clause.
% 0.20/0.63  
% 0.20/0.63  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.63  
% 0.20/0.63  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.65  Running up to 7 provers in parallel.
% 0.20/0.66  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.66  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.66  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.66  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.66  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.66  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.66  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.47/0.92  Prover 6: Warning: Problem contains reals, using incomplete axiomatisation
% 1.47/0.92  Prover 0: Warning: Problem contains reals, using incomplete axiomatisation
% 1.47/0.92  Prover 5: Warning: Problem contains reals, using incomplete axiomatisation
% 1.47/0.92  Prover 1: Warning: Problem contains reals, using incomplete axiomatisation
% 1.47/0.92  Prover 4: Warning: Problem contains reals, using incomplete axiomatisation
% 1.47/0.92  Prover 2: Warning: Problem contains reals, using incomplete axiomatisation
% 1.47/0.92  Prover 3: Warning: Problem contains reals, using incomplete axiomatisation
% 1.94/1.01  Prover 1: Preprocessing ...
% 1.94/1.01  Prover 4: Preprocessing ...
% 2.63/1.10  Prover 0: Preprocessing ...
% 2.63/1.10  Prover 6: Preprocessing ...
% 2.63/1.13  Prover 2: Preprocessing ...
% 2.63/1.13  Prover 5: Preprocessing ...
% 3.23/1.14  Prover 3: Preprocessing ...
% 6.21/1.62  Prover 1: Constructing countermodel ...
% 6.21/1.62  Prover 4: Constructing countermodel ...
% 6.21/1.62  Prover 6: Proving ...
% 6.63/1.66  Prover 0: Proving ...
% 8.79/1.99  Prover 1: gave up
% 8.79/2.00  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 8.79/2.00  Prover 7: Warning: Problem contains reals, using incomplete axiomatisation
% 8.79/2.07  Prover 3: Constructing countermodel ...
% 8.79/2.07  Prover 7: Preprocessing ...
% 8.79/2.11  Prover 2: Proving ...
% 10.94/2.33  Prover 5: Proving ...
% 12.12/2.45  Prover 7: Warning: ignoring some quantifiers
% 12.60/2.46  Prover 7: Constructing countermodel ...
% 13.27/2.61  Prover 0: proved (1954ms)
% 13.27/2.61  
% 13.27/2.61  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.27/2.61  
% 13.27/2.61  Prover 3: stopped
% 13.27/2.63  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 13.27/2.63  Prover 5: stopped
% 13.27/2.63  Prover 6: stopped
% 14.00/2.65  Prover 8: Warning: Problem contains reals, using incomplete axiomatisation
% 14.00/2.65  Prover 8: Preprocessing ...
% 14.00/2.65  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 14.00/2.65  Prover 10: Warning: Problem contains reals, using incomplete axiomatisation
% 14.00/2.65  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 14.00/2.65  Prover 11: Warning: Problem contains reals, using incomplete axiomatisation
% 14.00/2.65  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 14.00/2.65  Prover 13: Warning: Problem contains reals, using incomplete axiomatisation
% 14.00/2.65  Prover 13: Preprocessing ...
% 14.00/2.65  Prover 11: Preprocessing ...
% 14.00/2.66  Prover 10: Preprocessing ...
% 14.43/2.73  Prover 13: Warning: ignoring some quantifiers
% 14.43/2.73  Prover 8: Warning: ignoring some quantifiers
% 14.43/2.73  Prover 13: Constructing countermodel ...
% 14.43/2.74  Prover 8: Constructing countermodel ...
% 14.89/2.85  Prover 13: gave up
% 14.89/2.86  Prover 16: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 14.89/2.87  Prover 16: Warning: Problem contains reals, using incomplete axiomatisation
% 14.89/2.88  Prover 8: gave up
% 14.89/2.88  Prover 19: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 14.89/2.88  Prover 19: Warning: Problem contains reals, using incomplete axiomatisation
% 14.89/2.90  Prover 19: Preprocessing ...
% 15.68/2.92  Prover 16: Preprocessing ...
% 16.61/3.00  Prover 10: Warning: ignoring some quantifiers
% 16.61/3.00  Prover 10: Constructing countermodel ...
% 16.61/3.02  Prover 11: Constructing countermodel ...
% 17.42/3.14  Prover 2: stopped
% 17.90/3.24  Prover 16: Warning: ignoring some quantifiers
% 17.90/3.24  Prover 16: Constructing countermodel ...
% 18.66/3.27  Prover 10: Found proof (size 3)
% 18.66/3.27  Prover 7: Found proof (size 3)
% 18.66/3.27  Prover 7: proved (1277ms)
% 18.66/3.27  Prover 10: proved (646ms)
% 18.66/3.27  Prover 11: stopped
% 18.66/3.28  Prover 4: stopped
% 18.66/3.28  Prover 16: stopped
% 19.62/3.57  Prover 19: Warning: ignoring some quantifiers
% 20.00/3.57  Prover 19: Constructing countermodel ...
% 20.00/3.59  Prover 19: stopped
% 20.00/3.60  
% 20.00/3.60  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.00/3.60  
% 20.00/3.60  % SZS output start Proof for theBenchmark
% 20.00/3.60  Assumptions after simplification:
% 20.00/3.60  ---------------------------------
% 20.00/3.60  
% 20.00/3.60    (real_sum_problem_20)
% 20.00/3.64     ! [v0: $real] :  ~ (real_$sum(v0, real_-7/2) = real_-111/20)
% 20.00/3.64  
% 20.00/3.64    (input)
% 20.68/3.79     ~ (real_very_large = real_very_small) &  ~ (real_very_large = real_12321/400)
% 20.68/3.79    &  ~ (real_very_large = real_-111/10) &  ~ (real_very_large = real_70/111) & 
% 20.68/3.79    ~ (real_very_large = real_-20/111) &  ~ (real_very_large = real_-41/20) &  ~
% 20.68/3.79    (real_very_large = real_111/20) &  ~ (real_very_large = real_111/70) &  ~
% 20.68/3.79    (real_very_large = real_777/40) &  ~ (real_very_large = real_41/20) &  ~
% 20.68/3.79    (real_very_large = real_-181/20) &  ~ (real_very_large = real_1) &  ~
% 20.68/3.79    (real_very_large = real_-2/7) &  ~ (real_very_large = real_49/4) &  ~
% 20.68/3.79    (real_very_large = real_-7) &  ~ (real_very_large = real_7/2) &  ~
% 20.68/3.79    (real_very_large = real_-111/20) &  ~ (real_very_large = real_-7/2) &  ~
% 20.68/3.79    (real_very_large = real_0) &  ~ (real_very_small = real_12321/400) &  ~
% 20.68/3.79    (real_very_small = real_-111/10) &  ~ (real_very_small = real_70/111) &  ~
% 20.68/3.79    (real_very_small = real_-20/111) &  ~ (real_very_small = real_-41/20) &  ~
% 20.68/3.79    (real_very_small = real_111/20) &  ~ (real_very_small = real_111/70) &  ~
% 20.68/3.79    (real_very_small = real_777/40) &  ~ (real_very_small = real_41/20) &  ~
% 20.68/3.79    (real_very_small = real_-181/20) &  ~ (real_very_small = real_1) &  ~
% 20.68/3.79    (real_very_small = real_-2/7) &  ~ (real_very_small = real_49/4) &  ~
% 20.68/3.79    (real_very_small = real_-7) &  ~ (real_very_small = real_7/2) &  ~
% 20.68/3.79    (real_very_small = real_-111/20) &  ~ (real_very_small = real_-7/2) &  ~
% 20.68/3.79    (real_very_small = real_0) &  ~ (real_12321/400 = real_-111/10) &  ~
% 20.68/3.79    (real_12321/400 = real_70/111) &  ~ (real_12321/400 = real_-20/111) &  ~
% 20.68/3.79    (real_12321/400 = real_-41/20) &  ~ (real_12321/400 = real_111/20) &  ~
% 20.68/3.79    (real_12321/400 = real_111/70) &  ~ (real_12321/400 = real_777/40) &  ~
% 20.68/3.79    (real_12321/400 = real_41/20) &  ~ (real_12321/400 = real_-181/20) &  ~
% 20.68/3.79    (real_12321/400 = real_1) &  ~ (real_12321/400 = real_-2/7) &  ~
% 20.68/3.79    (real_12321/400 = real_49/4) &  ~ (real_12321/400 = real_-7) &  ~
% 20.68/3.79    (real_12321/400 = real_7/2) &  ~ (real_12321/400 = real_-111/20) &  ~
% 20.68/3.79    (real_12321/400 = real_-7/2) &  ~ (real_12321/400 = real_0) &  ~ (real_-111/10
% 20.68/3.79      = real_70/111) &  ~ (real_-111/10 = real_-20/111) &  ~ (real_-111/10 =
% 20.68/3.79      real_-41/20) &  ~ (real_-111/10 = real_111/20) &  ~ (real_-111/10 =
% 20.68/3.79      real_111/70) &  ~ (real_-111/10 = real_777/40) &  ~ (real_-111/10 =
% 20.68/3.79      real_41/20) &  ~ (real_-111/10 = real_-181/20) &  ~ (real_-111/10 = real_1)
% 20.68/3.79    &  ~ (real_-111/10 = real_-2/7) &  ~ (real_-111/10 = real_49/4) &  ~
% 20.68/3.79    (real_-111/10 = real_-7) &  ~ (real_-111/10 = real_7/2) &  ~ (real_-111/10 =
% 20.68/3.79      real_-111/20) &  ~ (real_-111/10 = real_-7/2) &  ~ (real_-111/10 = real_0) &
% 20.68/3.79     ~ (real_70/111 = real_-20/111) &  ~ (real_70/111 = real_-41/20) &  ~
% 20.68/3.79    (real_70/111 = real_111/20) &  ~ (real_70/111 = real_111/70) &  ~ (real_70/111
% 20.68/3.79      = real_777/40) &  ~ (real_70/111 = real_41/20) &  ~ (real_70/111 =
% 20.68/3.79      real_-181/20) &  ~ (real_70/111 = real_1) &  ~ (real_70/111 = real_-2/7) & 
% 20.68/3.79    ~ (real_70/111 = real_49/4) &  ~ (real_70/111 = real_-7) &  ~ (real_70/111 =
% 20.68/3.79      real_7/2) &  ~ (real_70/111 = real_-111/20) &  ~ (real_70/111 = real_-7/2) &
% 20.68/3.79     ~ (real_70/111 = real_0) &  ~ (real_-20/111 = real_-41/20) &  ~ (real_-20/111
% 20.68/3.79      = real_111/20) &  ~ (real_-20/111 = real_111/70) &  ~ (real_-20/111 =
% 20.68/3.79      real_777/40) &  ~ (real_-20/111 = real_41/20) &  ~ (real_-20/111 =
% 20.68/3.79      real_-181/20) &  ~ (real_-20/111 = real_1) &  ~ (real_-20/111 = real_-2/7) &
% 20.68/3.79     ~ (real_-20/111 = real_49/4) &  ~ (real_-20/111 = real_-7) &  ~ (real_-20/111
% 20.68/3.79      = real_7/2) &  ~ (real_-20/111 = real_-111/20) &  ~ (real_-20/111 =
% 20.68/3.79      real_-7/2) &  ~ (real_-20/111 = real_0) &  ~ (real_-41/20 = real_111/20) & 
% 20.68/3.79    ~ (real_-41/20 = real_111/70) &  ~ (real_-41/20 = real_777/40) &  ~
% 20.68/3.79    (real_-41/20 = real_41/20) &  ~ (real_-41/20 = real_-181/20) &  ~ (real_-41/20
% 20.68/3.79      = real_1) &  ~ (real_-41/20 = real_-2/7) &  ~ (real_-41/20 = real_49/4) &  ~
% 20.68/3.79    (real_-41/20 = real_-7) &  ~ (real_-41/20 = real_7/2) &  ~ (real_-41/20 =
% 20.68/3.79      real_-111/20) &  ~ (real_-41/20 = real_-7/2) &  ~ (real_-41/20 = real_0) & 
% 20.68/3.79    ~ (real_111/20 = real_111/70) &  ~ (real_111/20 = real_777/40) &  ~
% 20.68/3.79    (real_111/20 = real_41/20) &  ~ (real_111/20 = real_-181/20) &  ~ (real_111/20
% 20.68/3.79      = real_1) &  ~ (real_111/20 = real_-2/7) &  ~ (real_111/20 = real_49/4) &  ~
% 20.68/3.79    (real_111/20 = real_-7) &  ~ (real_111/20 = real_7/2) &  ~ (real_111/20 =
% 20.68/3.79      real_-111/20) &  ~ (real_111/20 = real_-7/2) &  ~ (real_111/20 = real_0) & 
% 20.68/3.79    ~ (real_111/70 = real_777/40) &  ~ (real_111/70 = real_41/20) &  ~
% 20.68/3.79    (real_111/70 = real_-181/20) &  ~ (real_111/70 = real_1) &  ~ (real_111/70 =
% 20.68/3.79      real_-2/7) &  ~ (real_111/70 = real_49/4) &  ~ (real_111/70 = real_-7) &  ~
% 20.68/3.79    (real_111/70 = real_7/2) &  ~ (real_111/70 = real_-111/20) &  ~ (real_111/70 =
% 20.68/3.79      real_-7/2) &  ~ (real_111/70 = real_0) &  ~ (real_777/40 = real_41/20) &  ~
% 20.68/3.79    (real_777/40 = real_-181/20) &  ~ (real_777/40 = real_1) &  ~ (real_777/40 =
% 20.68/3.79      real_-2/7) &  ~ (real_777/40 = real_49/4) &  ~ (real_777/40 = real_-7) &  ~
% 20.68/3.79    (real_777/40 = real_7/2) &  ~ (real_777/40 = real_-111/20) &  ~ (real_777/40 =
% 20.68/3.79      real_-7/2) &  ~ (real_777/40 = real_0) &  ~ (real_41/20 = real_-181/20) &  ~
% 20.68/3.79    (real_41/20 = real_1) &  ~ (real_41/20 = real_-2/7) &  ~ (real_41/20 =
% 20.68/3.79      real_49/4) &  ~ (real_41/20 = real_-7) &  ~ (real_41/20 = real_7/2) &  ~
% 20.68/3.79    (real_41/20 = real_-111/20) &  ~ (real_41/20 = real_-7/2) &  ~ (real_41/20 =
% 20.68/3.79      real_0) &  ~ (real_-181/20 = real_1) &  ~ (real_-181/20 = real_-2/7) &  ~
% 20.68/3.79    (real_-181/20 = real_49/4) &  ~ (real_-181/20 = real_-7) &  ~ (real_-181/20 =
% 20.68/3.79      real_7/2) &  ~ (real_-181/20 = real_-111/20) &  ~ (real_-181/20 = real_-7/2)
% 20.68/3.79    &  ~ (real_-181/20 = real_0) &  ~ (real_1 = real_-2/7) &  ~ (real_1 =
% 20.68/3.79      real_49/4) &  ~ (real_1 = real_-7) &  ~ (real_1 = real_7/2) &  ~ (real_1 =
% 20.68/3.79      real_-111/20) &  ~ (real_1 = real_-7/2) &  ~ (real_1 = real_0) &  ~
% 20.68/3.79    (real_-2/7 = real_49/4) &  ~ (real_-2/7 = real_-7) &  ~ (real_-2/7 = real_7/2)
% 20.68/3.79    &  ~ (real_-2/7 = real_-111/20) &  ~ (real_-2/7 = real_-7/2) &  ~ (real_-2/7 =
% 20.68/3.79      real_0) &  ~ (real_49/4 = real_-7) &  ~ (real_49/4 = real_7/2) &  ~
% 20.68/3.79    (real_49/4 = real_-111/20) &  ~ (real_49/4 = real_-7/2) &  ~ (real_49/4 =
% 20.68/3.79      real_0) &  ~ (real_-7 = real_7/2) &  ~ (real_-7 = real_-111/20) &  ~
% 20.68/3.79    (real_-7 = real_-7/2) &  ~ (real_-7 = real_0) &  ~ (real_7/2 = real_-111/20) &
% 20.68/3.79     ~ (real_7/2 = real_-7/2) &  ~ (real_7/2 = real_0) &  ~ (real_-111/20 =
% 20.68/3.79      real_-7/2) &  ~ (real_-111/20 = real_0) &  ~ (real_-7/2 = real_0) &
% 20.68/3.79    real_$floor(real_70/111) = real_0 & real_$floor(real_111/70) = real_1 &
% 20.68/3.79    real_$floor(real_1) = real_1 & real_$floor(real_-7) = real_-7 &
% 20.68/3.79    real_$floor(real_0) = real_0 & real_$ceiling(real_70/111) = real_1 &
% 20.68/3.79    real_$ceiling(real_-20/111) = real_0 & real_$ceiling(real_1) = real_1 &
% 20.68/3.79    real_$ceiling(real_-2/7) = real_0 & real_$ceiling(real_-7) = real_-7 &
% 20.68/3.79    real_$ceiling(real_0) = real_0 & real_$truncate(real_70/111) = real_0 &
% 20.68/3.79    real_$truncate(real_-20/111) = real_0 & real_$truncate(real_111/70) = real_1 &
% 20.68/3.79    real_$truncate(real_1) = real_1 & real_$truncate(real_-2/7) = real_0 &
% 20.68/3.79    real_$truncate(real_-7) = real_-7 & real_$truncate(real_0) = real_0 &
% 20.68/3.79    real_$round(real_70/111) = real_1 & real_$round(real_-20/111) = real_0 &
% 20.68/3.79    real_$round(real_1) = real_1 & real_$round(real_-2/7) = real_0 &
% 20.68/3.79    real_$round(real_-7) = real_-7 & real_$round(real_0) = real_0 &
% 20.68/3.79    real_$to_int(real_12321/400) = 30 & real_$to_int(real_-111/10) = -12 &
% 20.68/3.79    real_$to_int(real_70/111) = 0 & real_$to_int(real_-20/111) = -1 &
% 20.68/3.79    real_$to_int(real_-41/20) = -3 & real_$to_int(real_111/20) = 5 &
% 20.68/3.79    real_$to_int(real_111/70) = 1 & real_$to_int(real_777/40) = 19 &
% 20.68/3.79    real_$to_int(real_41/20) = 2 & real_$to_int(real_-181/20) = -10 &
% 20.68/3.79    real_$to_int(real_1) = 1 & real_$to_int(real_-2/7) = -1 &
% 20.68/3.79    real_$to_int(real_49/4) = 12 & real_$to_int(real_-7) = -7 &
% 20.68/3.79    real_$to_int(real_7/2) = 3 & real_$to_int(real_-111/20) = -6 &
% 20.68/3.79    real_$to_int(real_-7/2) = -4 & real_$to_int(real_0) = 0 &
% 20.68/3.79    real_$to_rat(real_12321/400) = rat_12321/400 & real_$to_rat(real_-111/10) =
% 20.68/3.79    rat_-111/10 & real_$to_rat(real_70/111) = rat_70/111 &
% 20.68/3.79    real_$to_rat(real_-20/111) = rat_-20/111 & real_$to_rat(real_-41/20) =
% 20.68/3.79    rat_-41/20 & real_$to_rat(real_111/20) = rat_111/20 &
% 20.68/3.79    real_$to_rat(real_111/70) = rat_111/70 & real_$to_rat(real_777/40) =
% 20.68/3.79    rat_777/40 & real_$to_rat(real_41/20) = rat_41/20 & real_$to_rat(real_-181/20)
% 20.68/3.79    = rat_-181/20 & real_$to_rat(real_1) = rat_1 & real_$to_rat(real_-2/7) =
% 20.68/3.79    rat_-2/7 & real_$to_rat(real_49/4) = rat_49/4 & real_$to_rat(real_-7) = rat_-7
% 20.68/3.79    & real_$to_rat(real_7/2) = rat_7/2 & real_$to_rat(real_-111/20) = rat_-111/20
% 20.68/3.79    & real_$to_rat(real_-7/2) = rat_-7/2 & real_$to_rat(real_0) = rat_0 &
% 20.68/3.79    real_$to_real(real_12321/400) = real_12321/400 & real_$to_real(real_-111/10) =
% 20.68/3.79    real_-111/10 & real_$to_real(real_70/111) = real_70/111 &
% 20.68/3.79    real_$to_real(real_-20/111) = real_-20/111 & real_$to_real(real_-41/20) =
% 20.68/3.79    real_-41/20 & real_$to_real(real_111/20) = real_111/20 &
% 20.68/3.79    real_$to_real(real_111/70) = real_111/70 & real_$to_real(real_777/40) =
% 20.68/3.79    real_777/40 & real_$to_real(real_41/20) = real_41/20 &
% 20.68/3.79    real_$to_real(real_-181/20) = real_-181/20 & real_$to_real(real_1) = real_1 &
% 20.68/3.79    real_$to_real(real_-2/7) = real_-2/7 & real_$to_real(real_49/4) = real_49/4 &
% 20.68/3.79    real_$to_real(real_-7) = real_-7 & real_$to_real(real_7/2) = real_7/2 &
% 20.68/3.79    real_$to_real(real_-111/20) = real_-111/20 & real_$to_real(real_-7/2) =
% 20.68/3.79    real_-7/2 & real_$to_real(real_0) = real_0 & int_$to_real(-7) = real_-7 &
% 20.68/3.79    int_$to_real(1) = real_1 & int_$to_real(0) = real_0 &
% 20.68/3.79    real_$quotient(real_12321/400, real_12321/400) = real_1 &
% 20.68/3.79    real_$quotient(real_12321/400, real_111/20) = real_111/20 &
% 20.68/3.79    real_$quotient(real_12321/400, real_111/70) = real_777/40 &
% 20.68/3.79    real_$quotient(real_12321/400, real_777/40) = real_111/70 &
% 20.68/3.79    real_$quotient(real_12321/400, real_1) = real_12321/400 &
% 20.68/3.79    real_$quotient(real_12321/400, real_-111/20) = real_-111/20 &
% 20.68/3.79    real_$quotient(real_-111/10, real_-111/10) = real_1 &
% 20.68/3.79    real_$quotient(real_-111/10, real_111/70) = real_-7 &
% 20.68/3.79    real_$quotient(real_-111/10, real_1) = real_-111/10 &
% 20.68/3.79    real_$quotient(real_-111/10, real_-7) = real_111/70 &
% 20.68/3.79    real_$quotient(real_70/111, real_70/111) = real_1 &
% 20.68/3.79    real_$quotient(real_70/111, real_-20/111) = real_-7/2 &
% 20.68/3.79    real_$quotient(real_70/111, real_1) = real_70/111 &
% 20.68/3.79    real_$quotient(real_70/111, real_-7/2) = real_-20/111 &
% 20.68/3.79    real_$quotient(real_-20/111, real_70/111) = real_-2/7 &
% 20.68/3.79    real_$quotient(real_-20/111, real_-20/111) = real_1 &
% 20.68/3.79    real_$quotient(real_-20/111, real_1) = real_-20/111 &
% 20.68/3.79    real_$quotient(real_-20/111, real_-2/7) = real_70/111 &
% 20.68/3.79    real_$quotient(real_-41/20, real_-41/20) = real_1 &
% 20.68/3.79    real_$quotient(real_-41/20, real_1) = real_-41/20 &
% 20.68/3.79    real_$quotient(real_111/20, real_111/20) = real_1 &
% 20.68/3.79    real_$quotient(real_111/20, real_111/70) = real_7/2 &
% 20.68/3.79    real_$quotient(real_111/20, real_1) = real_111/20 &
% 20.68/3.79    real_$quotient(real_111/20, real_7/2) = real_111/70 &
% 20.68/3.79    real_$quotient(real_111/70, real_111/70) = real_1 &
% 20.68/3.79    real_$quotient(real_111/70, real_1) = real_111/70 &
% 20.68/3.79    real_$quotient(real_111/70, real_-2/7) = real_-111/20 &
% 20.68/3.79    real_$quotient(real_111/70, real_-111/20) = real_-2/7 &
% 20.68/3.79    real_$quotient(real_777/40, real_12321/400) = real_70/111 &
% 20.68/3.79    real_$quotient(real_777/40, real_70/111) = real_12321/400 &
% 20.68/3.79    real_$quotient(real_777/40, real_111/20) = real_7/2 &
% 20.68/3.79    real_$quotient(real_777/40, real_111/70) = real_49/4 &
% 20.68/3.79    real_$quotient(real_777/40, real_777/40) = real_1 &
% 20.68/3.79    real_$quotient(real_777/40, real_1) = real_777/40 &
% 20.68/3.79    real_$quotient(real_777/40, real_49/4) = real_111/70 &
% 20.68/3.79    real_$quotient(real_777/40, real_7/2) = real_111/20 &
% 20.68/3.79    real_$quotient(real_777/40, real_-111/20) = real_-7/2 &
% 20.68/3.79    real_$quotient(real_777/40, real_-7/2) = real_-111/20 &
% 20.68/3.79    real_$quotient(real_41/20, real_41/20) = real_1 & real_$quotient(real_41/20,
% 20.68/3.79      real_1) = real_41/20 & real_$quotient(real_-181/20, real_-181/20) = real_1 &
% 20.68/3.79    real_$quotient(real_-181/20, real_1) = real_-181/20 & real_$quotient(real_1,
% 20.68/3.79      real_70/111) = real_111/70 & real_$quotient(real_1, real_-20/111) =
% 20.68/3.79    real_-111/20 & real_$quotient(real_1, real_111/70) = real_70/111 &
% 20.68/3.79    real_$quotient(real_1, real_1) = real_1 & real_$quotient(real_1, real_-2/7) =
% 20.68/3.79    real_-7/2 & real_$quotient(real_1, real_-111/20) = real_-20/111 &
% 20.68/3.79    real_$quotient(real_1, real_-7/2) = real_-2/7 & real_$quotient(real_-2/7,
% 20.68/3.79      real_-20/111) = real_111/70 & real_$quotient(real_-2/7, real_111/70) =
% 20.68/3.79    real_-20/111 & real_$quotient(real_-2/7, real_1) = real_-2/7 &
% 20.68/3.79    real_$quotient(real_-2/7, real_-2/7) = real_1 & real_$quotient(real_49/4,
% 20.68/3.79      real_70/111) = real_777/40 & real_$quotient(real_49/4, real_777/40) =
% 20.68/3.79    real_70/111 & real_$quotient(real_49/4, real_1) = real_49/4 &
% 20.68/3.79    real_$quotient(real_49/4, real_49/4) = real_1 & real_$quotient(real_49/4,
% 20.68/3.79      real_7/2) = real_7/2 & real_$quotient(real_49/4, real_-7/2) = real_-7/2 &
% 20.68/3.79    real_$quotient(real_-7, real_-111/10) = real_70/111 & real_$quotient(real_-7,
% 20.68/3.79      real_70/111) = real_-111/10 & real_$quotient(real_-7, real_1) = real_-7 &
% 20.68/3.79    real_$quotient(real_-7, real_-7) = real_1 & real_$quotient(real_7/2,
% 20.68/3.79      real_70/111) = real_111/20 & real_$quotient(real_7/2, real_111/20) =
% 20.68/3.79    real_70/111 & real_$quotient(real_7/2, real_1) = real_7/2 &
% 20.68/3.79    real_$quotient(real_7/2, real_7/2) = real_1 & real_$quotient(real_-111/20,
% 20.68/3.79      real_12321/400) = real_-20/111 & real_$quotient(real_-111/20, real_-20/111)
% 20.68/3.79    = real_12321/400 & real_$quotient(real_-111/20, real_111/70) = real_-7/2 &
% 20.68/3.79    real_$quotient(real_-111/20, real_777/40) = real_-2/7 &
% 20.68/3.79    real_$quotient(real_-111/20, real_1) = real_-111/20 &
% 20.68/3.79    real_$quotient(real_-111/20, real_-2/7) = real_777/40 &
% 20.68/3.79    real_$quotient(real_-111/20, real_-111/20) = real_1 &
% 20.68/3.79    real_$quotient(real_-111/20, real_-7/2) = real_111/70 &
% 20.68/3.79    real_$quotient(real_-7/2, real_70/111) = real_-111/20 &
% 20.68/3.79    real_$quotient(real_-7/2, real_-20/111) = real_777/40 &
% 20.68/3.79    real_$quotient(real_-7/2, real_777/40) = real_-20/111 &
% 20.68/3.79    real_$quotient(real_-7/2, real_1) = real_-7/2 & real_$quotient(real_-7/2,
% 20.68/3.79      real_-2/7) = real_49/4 & real_$quotient(real_-7/2, real_49/4) = real_-2/7 &
% 20.68/3.79    real_$quotient(real_-7/2, real_-111/20) = real_70/111 &
% 20.68/3.79    real_$quotient(real_-7/2, real_-7/2) = real_1 & real_$quotient(real_0,
% 20.68/3.79      real_12321/400) = real_0 & real_$quotient(real_0, real_-111/10) = real_0 &
% 20.68/3.79    real_$quotient(real_0, real_70/111) = real_0 & real_$quotient(real_0,
% 20.68/3.79      real_-20/111) = real_0 & real_$quotient(real_0, real_-41/20) = real_0 &
% 20.68/3.79    real_$quotient(real_0, real_111/20) = real_0 & real_$quotient(real_0,
% 20.68/3.79      real_111/70) = real_0 & real_$quotient(real_0, real_777/40) = real_0 &
% 20.68/3.79    real_$quotient(real_0, real_41/20) = real_0 & real_$quotient(real_0,
% 20.68/3.79      real_-181/20) = real_0 & real_$quotient(real_0, real_1) = real_0 &
% 20.68/3.79    real_$quotient(real_0, real_-2/7) = real_0 & real_$quotient(real_0, real_49/4)
% 20.68/3.79    = real_0 & real_$quotient(real_0, real_-7) = real_0 & real_$quotient(real_0,
% 20.68/3.79      real_7/2) = real_0 & real_$quotient(real_0, real_-111/20) = real_0 &
% 20.68/3.79    real_$quotient(real_0, real_-7/2) = real_0 & real_$product(real_12321/400,
% 20.68/3.79      real_70/111) = real_777/40 & real_$product(real_12321/400, real_-20/111) =
% 20.68/3.79    real_-111/20 & real_$product(real_12321/400, real_1) = real_12321/400 &
% 20.68/3.79    real_$product(real_12321/400, real_0) = real_0 & real_$product(real_-111/10,
% 20.68/3.79      real_70/111) = real_-7 & real_$product(real_-111/10, real_1) = real_-111/10
% 20.68/3.79    & real_$product(real_-111/10, real_0) = real_0 & real_$product(real_70/111,
% 20.68/3.79      real_12321/400) = real_777/40 & real_$product(real_70/111, real_-111/10) =
% 20.68/3.79    real_-7 & real_$product(real_70/111, real_111/20) = real_7/2 &
% 20.68/3.79    real_$product(real_70/111, real_111/70) = real_1 & real_$product(real_70/111,
% 20.68/3.79      real_777/40) = real_49/4 & real_$product(real_70/111, real_1) = real_70/111
% 20.68/3.79    & real_$product(real_70/111, real_-2/7) = real_-20/111 &
% 20.68/3.79    real_$product(real_70/111, real_-111/20) = real_-7/2 &
% 20.68/3.79    real_$product(real_70/111, real_0) = real_0 & real_$product(real_-20/111,
% 20.68/3.79      real_12321/400) = real_-111/20 & real_$product(real_-20/111, real_111/70) =
% 20.68/3.79    real_-2/7 & real_$product(real_-20/111, real_777/40) = real_-7/2 &
% 20.68/3.79    real_$product(real_-20/111, real_1) = real_-20/111 &
% 20.68/3.79    real_$product(real_-20/111, real_-111/20) = real_1 &
% 20.68/3.80    real_$product(real_-20/111, real_-7/2) = real_70/111 &
% 20.68/3.80    real_$product(real_-20/111, real_0) = real_0 & real_$product(real_-41/20,
% 20.68/3.80      real_1) = real_-41/20 & real_$product(real_-41/20, real_0) = real_0 &
% 20.68/3.80    real_$product(real_111/20, real_70/111) = real_7/2 &
% 20.68/3.80    real_$product(real_111/20, real_111/20) = real_12321/400 &
% 20.68/3.80    real_$product(real_111/20, real_1) = real_111/20 & real_$product(real_111/20,
% 20.68/3.80      real_7/2) = real_777/40 & real_$product(real_111/20, real_0) = real_0 &
% 20.68/3.80    real_$product(real_111/70, real_70/111) = real_1 & real_$product(real_111/70,
% 20.68/3.80      real_-20/111) = real_-2/7 & real_$product(real_111/70, real_777/40) =
% 20.68/3.80    real_12321/400 & real_$product(real_111/70, real_1) = real_111/70 &
% 20.68/3.80    real_$product(real_111/70, real_49/4) = real_777/40 &
% 20.68/3.80    real_$product(real_111/70, real_-7) = real_-111/10 &
% 20.68/3.80    real_$product(real_111/70, real_7/2) = real_111/20 &
% 20.68/3.80    real_$product(real_111/70, real_-7/2) = real_-111/20 &
% 20.68/3.80    real_$product(real_111/70, real_0) = real_0 & real_$product(real_777/40,
% 20.68/3.80      real_70/111) = real_49/4 & real_$product(real_777/40, real_-20/111) =
% 20.68/3.80    real_-7/2 & real_$product(real_777/40, real_111/70) = real_12321/400 &
% 20.68/3.80    real_$product(real_777/40, real_1) = real_777/40 & real_$product(real_777/40,
% 20.68/3.80      real_-2/7) = real_-111/20 & real_$product(real_777/40, real_0) = real_0 &
% 20.68/3.80    real_$product(real_41/20, real_1) = real_41/20 & real_$product(real_41/20,
% 20.68/3.80      real_0) = real_0 & real_$product(real_-181/20, real_1) = real_-181/20 &
% 20.68/3.80    real_$product(real_-181/20, real_0) = real_0 & real_$product(real_1,
% 20.68/3.80      real_12321/400) = real_12321/400 & real_$product(real_1, real_-111/10) =
% 20.68/3.80    real_-111/10 & real_$product(real_1, real_70/111) = real_70/111 &
% 20.68/3.80    real_$product(real_1, real_-20/111) = real_-20/111 & real_$product(real_1,
% 20.68/3.80      real_-41/20) = real_-41/20 & real_$product(real_1, real_111/20) =
% 20.68/3.80    real_111/20 & real_$product(real_1, real_111/70) = real_111/70 &
% 20.68/3.80    real_$product(real_1, real_777/40) = real_777/40 & real_$product(real_1,
% 20.68/3.80      real_41/20) = real_41/20 & real_$product(real_1, real_-181/20) =
% 20.68/3.80    real_-181/20 & real_$product(real_1, real_1) = real_1 & real_$product(real_1,
% 20.68/3.80      real_-2/7) = real_-2/7 & real_$product(real_1, real_49/4) = real_49/4 &
% 20.68/3.80    real_$product(real_1, real_-7) = real_-7 & real_$product(real_1, real_7/2) =
% 20.68/3.80    real_7/2 & real_$product(real_1, real_-111/20) = real_-111/20 &
% 20.68/3.80    real_$product(real_1, real_-7/2) = real_-7/2 & real_$product(real_1, real_0) =
% 20.68/3.80    real_0 & real_$product(real_-2/7, real_70/111) = real_-20/111 &
% 20.68/3.80    real_$product(real_-2/7, real_777/40) = real_-111/20 &
% 20.68/3.80    real_$product(real_-2/7, real_1) = real_-2/7 & real_$product(real_-2/7,
% 20.68/3.80      real_49/4) = real_-7/2 & real_$product(real_-2/7, real_-111/20) =
% 20.68/3.80    real_111/70 & real_$product(real_-2/7, real_-7/2) = real_1 &
% 20.68/3.80    real_$product(real_-2/7, real_0) = real_0 & real_$product(real_49/4,
% 20.68/3.80      real_111/70) = real_777/40 & real_$product(real_49/4, real_1) = real_49/4 &
% 20.68/3.80    real_$product(real_49/4, real_-2/7) = real_-7/2 & real_$product(real_49/4,
% 20.68/3.80      real_0) = real_0 & real_$product(real_-7, real_111/70) = real_-111/10 &
% 20.68/3.80    real_$product(real_-7, real_1) = real_-7 & real_$product(real_-7, real_0) =
% 20.68/3.80    real_0 & real_$product(real_7/2, real_111/20) = real_777/40 &
% 20.68/3.80    real_$product(real_7/2, real_111/70) = real_111/20 & real_$product(real_7/2,
% 20.68/3.80      real_1) = real_7/2 & real_$product(real_7/2, real_7/2) = real_49/4 &
% 20.68/3.80    real_$product(real_7/2, real_0) = real_0 & real_$product(real_-111/20,
% 20.68/3.80      real_70/111) = real_-7/2 & real_$product(real_-111/20, real_-20/111) =
% 20.68/3.80    real_1 & real_$product(real_-111/20, real_1) = real_-111/20 &
% 20.68/3.80    real_$product(real_-111/20, real_-2/7) = real_111/70 &
% 20.68/3.80    real_$product(real_-111/20, real_-111/20) = real_12321/400 &
% 20.68/3.80    real_$product(real_-111/20, real_-7/2) = real_777/40 &
% 20.68/3.80    real_$product(real_-111/20, real_0) = real_0 & real_$product(real_-7/2,
% 20.68/3.80      real_-20/111) = real_70/111 & real_$product(real_-7/2, real_111/70) =
% 20.68/3.80    real_-111/20 & real_$product(real_-7/2, real_1) = real_-7/2 &
% 20.68/3.80    real_$product(real_-7/2, real_-2/7) = real_1 & real_$product(real_-7/2,
% 20.68/3.80      real_-111/20) = real_777/40 & real_$product(real_-7/2, real_-7/2) =
% 20.68/3.80    real_49/4 & real_$product(real_-7/2, real_0) = real_0 & real_$product(real_0,
% 20.68/3.80      real_12321/400) = real_0 & real_$product(real_0, real_-111/10) = real_0 &
% 20.68/3.80    real_$product(real_0, real_70/111) = real_0 & real_$product(real_0,
% 20.68/3.80      real_-20/111) = real_0 & real_$product(real_0, real_-41/20) = real_0 &
% 20.68/3.80    real_$product(real_0, real_111/20) = real_0 & real_$product(real_0,
% 20.68/3.80      real_111/70) = real_0 & real_$product(real_0, real_777/40) = real_0 &
% 20.68/3.80    real_$product(real_0, real_41/20) = real_0 & real_$product(real_0,
% 20.68/3.80      real_-181/20) = real_0 & real_$product(real_0, real_1) = real_0 &
% 20.68/3.80    real_$product(real_0, real_-2/7) = real_0 & real_$product(real_0, real_49/4) =
% 20.68/3.80    real_0 & real_$product(real_0, real_-7) = real_0 & real_$product(real_0,
% 20.68/3.80      real_7/2) = real_0 & real_$product(real_0, real_-111/20) = real_0 &
% 20.68/3.80    real_$product(real_0, real_-7/2) = real_0 & real_$product(real_0, real_0) =
% 20.68/3.80    real_0 & real_$difference(real_12321/400, real_12321/400) = real_0 &
% 20.68/3.80    real_$difference(real_12321/400, real_0) = real_12321/400 &
% 20.68/3.80    real_$difference(real_-111/10, real_-111/10) = real_0 &
% 20.68/3.80    real_$difference(real_-111/10, real_-41/20) = real_-181/20 &
% 20.68/3.80    real_$difference(real_-111/10, real_-181/20) = real_-41/20 &
% 20.68/3.80    real_$difference(real_-111/10, real_-111/20) = real_-111/20 &
% 20.68/3.80    real_$difference(real_-111/10, real_0) = real_-111/10 &
% 20.68/3.80    real_$difference(real_70/111, real_70/111) = real_0 &
% 20.68/3.80    real_$difference(real_70/111, real_0) = real_70/111 &
% 20.68/3.80    real_$difference(real_-20/111, real_-20/111) = real_0 &
% 20.68/3.80    real_$difference(real_-20/111, real_0) = real_-20/111 &
% 20.68/3.80    real_$difference(real_-41/20, real_-41/20) = real_0 &
% 20.68/3.80    real_$difference(real_-41/20, real_7/2) = real_-111/20 &
% 20.68/3.80    real_$difference(real_-41/20, real_-111/20) = real_7/2 &
% 20.68/3.80    real_$difference(real_-41/20, real_0) = real_-41/20 &
% 20.68/3.80    real_$difference(real_111/20, real_111/20) = real_0 &
% 20.68/3.80    real_$difference(real_111/20, real_41/20) = real_7/2 &
% 20.68/3.80    real_$difference(real_111/20, real_7/2) = real_41/20 &
% 20.68/3.80    real_$difference(real_111/20, real_0) = real_111/20 &
% 20.68/3.80    real_$difference(real_111/70, real_111/70) = real_0 &
% 20.68/3.80    real_$difference(real_111/70, real_0) = real_111/70 &
% 20.68/3.80    real_$difference(real_777/40, real_777/40) = real_0 &
% 20.68/3.80    real_$difference(real_777/40, real_0) = real_777/40 &
% 20.68/3.80    real_$difference(real_41/20, real_111/20) = real_-7/2 &
% 20.68/3.80    real_$difference(real_41/20, real_41/20) = real_0 &
% 20.68/3.80    real_$difference(real_41/20, real_-7/2) = real_111/20 &
% 20.68/3.80    real_$difference(real_41/20, real_0) = real_41/20 &
% 20.68/3.80    real_$difference(real_-181/20, real_-111/10) = real_41/20 &
% 20.68/3.80    real_$difference(real_-181/20, real_-41/20) = real_-7 &
% 20.68/3.80    real_$difference(real_-181/20, real_41/20) = real_-111/10 &
% 20.68/3.80    real_$difference(real_-181/20, real_-181/20) = real_0 &
% 20.68/3.80    real_$difference(real_-181/20, real_-7) = real_-41/20 &
% 20.68/3.80    real_$difference(real_-181/20, real_-111/20) = real_-7/2 &
% 20.68/3.80    real_$difference(real_-181/20, real_-7/2) = real_-111/20 &
% 20.68/3.80    real_$difference(real_-181/20, real_0) = real_-181/20 &
% 20.68/3.80    real_$difference(real_1, real_1) = real_0 & real_$difference(real_1, real_0) =
% 20.68/3.80    real_1 & real_$difference(real_-2/7, real_-2/7) = real_0 &
% 20.68/3.80    real_$difference(real_-2/7, real_0) = real_-2/7 & real_$difference(real_49/4,
% 20.68/3.80      real_49/4) = real_0 & real_$difference(real_49/4, real_0) = real_49/4 &
% 20.68/3.80    real_$difference(real_-7, real_41/20) = real_-181/20 &
% 20.68/3.80    real_$difference(real_-7, real_-181/20) = real_41/20 &
% 20.68/3.80    real_$difference(real_-7, real_-7) = real_0 & real_$difference(real_-7,
% 20.68/3.80      real_-7/2) = real_-7/2 & real_$difference(real_-7, real_0) = real_-7 &
% 20.68/3.80    real_$difference(real_7/2, real_-41/20) = real_111/20 &
% 20.68/3.80    real_$difference(real_7/2, real_111/20) = real_-41/20 &
% 20.68/3.80    real_$difference(real_7/2, real_7/2) = real_0 & real_$difference(real_7/2,
% 20.68/3.80      real_0) = real_7/2 & real_$difference(real_-111/20, real_-111/10) =
% 20.68/3.80    real_111/20 & real_$difference(real_-111/20, real_-41/20) = real_-7/2 &
% 20.68/3.80    real_$difference(real_-111/20, real_111/20) = real_-111/10 &
% 20.68/3.80    real_$difference(real_-111/20, real_-181/20) = real_7/2 &
% 20.68/3.80    real_$difference(real_-111/20, real_7/2) = real_-181/20 &
% 20.68/3.80    real_$difference(real_-111/20, real_-111/20) = real_0 &
% 20.68/3.80    real_$difference(real_-111/20, real_-7/2) = real_-41/20 &
% 20.68/3.80    real_$difference(real_-111/20, real_0) = real_-111/20 &
% 20.68/3.80    real_$difference(real_-7/2, real_111/20) = real_-181/20 &
% 20.68/3.80    real_$difference(real_-7/2, real_41/20) = real_-111/20 &
% 20.68/3.80    real_$difference(real_-7/2, real_-181/20) = real_111/20 &
% 20.68/3.80    real_$difference(real_-7/2, real_-7) = real_7/2 & real_$difference(real_-7/2,
% 20.68/3.80      real_7/2) = real_-7 & real_$difference(real_-7/2, real_-111/20) = real_41/20
% 20.68/3.80    & real_$difference(real_-7/2, real_-7/2) = real_0 &
% 20.68/3.80    real_$difference(real_-7/2, real_0) = real_-7/2 & real_$difference(real_0,
% 20.68/3.80      real_-41/20) = real_41/20 & real_$difference(real_0, real_111/20) =
% 20.68/3.80    real_-111/20 & real_$difference(real_0, real_41/20) = real_-41/20 &
% 20.68/3.80    real_$difference(real_0, real_7/2) = real_-7/2 & real_$difference(real_0,
% 20.68/3.80      real_-111/20) = real_111/20 & real_$difference(real_0, real_-7/2) = real_7/2
% 20.68/3.80    & real_$difference(real_0, real_0) = real_0 & real_$uminus(real_-41/20) =
% 20.68/3.80    real_41/20 & real_$uminus(real_111/20) = real_-111/20 &
% 20.68/3.80    real_$uminus(real_41/20) = real_-41/20 & real_$uminus(real_7/2) = real_-7/2 &
% 20.68/3.80    real_$uminus(real_-111/20) = real_111/20 & real_$uminus(real_-7/2) = real_7/2
% 20.68/3.80    & real_$uminus(real_0) = real_0 & real_$sum(real_12321/400, real_0) =
% 20.68/3.80    real_12321/400 & real_$sum(real_-111/10, real_111/20) = real_-111/20 &
% 20.68/3.80    real_$sum(real_-111/10, real_41/20) = real_-181/20 & real_$sum(real_-111/10,
% 20.68/3.80      real_0) = real_-111/10 & real_$sum(real_70/111, real_0) = real_70/111 &
% 20.68/3.80    real_$sum(real_-20/111, real_0) = real_-20/111 & real_$sum(real_-41/20,
% 20.68/3.80      real_111/20) = real_7/2 & real_$sum(real_-41/20, real_41/20) = real_0 &
% 20.68/3.80    real_$sum(real_-41/20, real_-181/20) = real_-111/10 & real_$sum(real_-41/20,
% 20.68/3.80      real_-7) = real_-181/20 & real_$sum(real_-41/20, real_-7/2) = real_-111/20 &
% 20.68/3.80    real_$sum(real_-41/20, real_0) = real_-41/20 & real_$sum(real_111/20,
% 20.68/3.80      real_-111/10) = real_-111/20 & real_$sum(real_111/20, real_-41/20) =
% 20.68/3.80    real_7/2 & real_$sum(real_111/20, real_-181/20) = real_-7/2 &
% 20.68/3.80    real_$sum(real_111/20, real_-111/20) = real_0 & real_$sum(real_111/20,
% 20.68/3.80      real_-7/2) = real_41/20 & real_$sum(real_111/20, real_0) = real_111/20 &
% 20.68/3.80    real_$sum(real_111/70, real_0) = real_111/70 & real_$sum(real_777/40, real_0)
% 20.68/3.80    = real_777/40 & real_$sum(real_41/20, real_-111/10) = real_-181/20 &
% 20.68/3.80    real_$sum(real_41/20, real_-41/20) = real_0 & real_$sum(real_41/20,
% 20.68/3.80      real_-181/20) = real_-7 & real_$sum(real_41/20, real_7/2) = real_111/20 &
% 20.68/3.80    real_$sum(real_41/20, real_-111/20) = real_-7/2 & real_$sum(real_41/20,
% 20.68/3.80      real_0) = real_41/20 & real_$sum(real_-181/20, real_-41/20) = real_-111/10 &
% 20.68/3.80    real_$sum(real_-181/20, real_111/20) = real_-7/2 & real_$sum(real_-181/20,
% 20.68/3.80      real_41/20) = real_-7 & real_$sum(real_-181/20, real_7/2) = real_-111/20 &
% 20.68/3.80    real_$sum(real_-181/20, real_0) = real_-181/20 & real_$sum(real_1, real_0) =
% 20.68/3.80    real_1 & real_$sum(real_-2/7, real_0) = real_-2/7 & real_$sum(real_49/4,
% 20.68/3.80      real_0) = real_49/4 & real_$sum(real_-7, real_-41/20) = real_-181/20 &
% 20.68/3.80    real_$sum(real_-7, real_7/2) = real_-7/2 & real_$sum(real_-7, real_0) =
% 20.68/3.80    real_-7 & real_$sum(real_7/2, real_41/20) = real_111/20 & real_$sum(real_7/2,
% 20.68/3.80      real_-181/20) = real_-111/20 & real_$sum(real_7/2, real_-7) = real_-7/2 &
% 20.68/3.80    real_$sum(real_7/2, real_-111/20) = real_-41/20 & real_$sum(real_7/2,
% 20.68/3.80      real_-7/2) = real_0 & real_$sum(real_7/2, real_0) = real_7/2 &
% 20.68/3.80    real_$sum(real_-111/20, real_111/20) = real_0 & real_$sum(real_-111/20,
% 20.68/3.80      real_41/20) = real_-7/2 & real_$sum(real_-111/20, real_7/2) = real_-41/20 &
% 20.68/3.80    real_$sum(real_-111/20, real_-111/20) = real_-111/10 & real_$sum(real_-111/20,
% 20.68/3.80      real_-7/2) = real_-181/20 & real_$sum(real_-111/20, real_0) = real_-111/20 &
% 20.68/3.80    real_$sum(real_-7/2, real_-41/20) = real_-111/20 & real_$sum(real_-7/2,
% 20.68/3.80      real_111/20) = real_41/20 & real_$sum(real_-7/2, real_7/2) = real_0 &
% 20.68/3.80    real_$sum(real_-7/2, real_-111/20) = real_-181/20 & real_$sum(real_-7/2,
% 20.68/3.80      real_-7/2) = real_-7 & real_$sum(real_-7/2, real_0) = real_-7/2 &
% 20.68/3.80    real_$sum(real_0, real_12321/400) = real_12321/400 & real_$sum(real_0,
% 20.68/3.80      real_-111/10) = real_-111/10 & real_$sum(real_0, real_70/111) = real_70/111
% 20.68/3.80    & real_$sum(real_0, real_-20/111) = real_-20/111 & real_$sum(real_0,
% 20.68/3.80      real_-41/20) = real_-41/20 & real_$sum(real_0, real_111/20) = real_111/20 &
% 20.68/3.80    real_$sum(real_0, real_111/70) = real_111/70 & real_$sum(real_0, real_777/40)
% 20.68/3.80    = real_777/40 & real_$sum(real_0, real_41/20) = real_41/20 & real_$sum(real_0,
% 20.68/3.80      real_-181/20) = real_-181/20 & real_$sum(real_0, real_1) = real_1 &
% 20.68/3.80    real_$sum(real_0, real_-2/7) = real_-2/7 & real_$sum(real_0, real_49/4) =
% 20.68/3.80    real_49/4 & real_$sum(real_0, real_-7) = real_-7 & real_$sum(real_0, real_7/2)
% 20.68/3.80    = real_7/2 & real_$sum(real_0, real_-111/20) = real_-111/20 &
% 20.68/3.80    real_$sum(real_0, real_-7/2) = real_-7/2 & real_$sum(real_0, real_0) = real_0
% 20.68/3.80    & real_$is_rat(real_12321/400) & real_$is_rat(real_-111/10) &
% 20.68/3.80    real_$is_rat(real_70/111) & real_$is_rat(real_-20/111) &
% 20.68/3.80    real_$is_rat(real_-41/20) & real_$is_rat(real_111/20) &
% 20.68/3.80    real_$is_rat(real_111/70) & real_$is_rat(real_777/40) &
% 20.68/3.80    real_$is_rat(real_41/20) & real_$is_rat(real_-181/20) & real_$is_rat(real_1) &
% 20.68/3.80    real_$is_rat(real_-2/7) & real_$is_rat(real_49/4) & real_$is_rat(real_-7) &
% 20.68/3.80    real_$is_rat(real_7/2) & real_$is_rat(real_-111/20) & real_$is_rat(real_-7/2)
% 20.68/3.80    & real_$is_rat(real_0) & real_$is_int(real_1) & real_$is_int(real_-7) &
% 20.68/3.80    real_$is_int(real_0) & real_$greatereq(real_12321/400, real_12321/400) &
% 20.68/3.80    real_$greatereq(real_12321/400, real_-111/10) &
% 20.68/3.80    real_$greatereq(real_12321/400, real_70/111) & real_$greatereq(real_12321/400,
% 20.68/3.80      real_-20/111) & real_$greatereq(real_12321/400, real_-41/20) &
% 20.68/3.80    real_$greatereq(real_12321/400, real_111/20) & real_$greatereq(real_12321/400,
% 20.68/3.80      real_111/70) & real_$greatereq(real_12321/400, real_777/40) &
% 20.68/3.80    real_$greatereq(real_12321/400, real_41/20) & real_$greatereq(real_12321/400,
% 20.68/3.80      real_-181/20) & real_$greatereq(real_12321/400, real_1) &
% 20.68/3.80    real_$greatereq(real_12321/400, real_-2/7) & real_$greatereq(real_12321/400,
% 20.68/3.80      real_49/4) & real_$greatereq(real_12321/400, real_-7) &
% 20.68/3.80    real_$greatereq(real_12321/400, real_7/2) & real_$greatereq(real_12321/400,
% 20.68/3.80      real_-111/20) & real_$greatereq(real_12321/400, real_-7/2) &
% 20.68/3.80    real_$greatereq(real_12321/400, real_0) & real_$greatereq(real_-111/10,
% 20.68/3.80      real_-111/10) & real_$greatereq(real_70/111, real_-111/10) &
% 20.68/3.80    real_$greatereq(real_70/111, real_70/111) & real_$greatereq(real_70/111,
% 20.68/3.80      real_-20/111) & real_$greatereq(real_70/111, real_-41/20) &
% 20.68/3.80    real_$greatereq(real_70/111, real_-181/20) & real_$greatereq(real_70/111,
% 20.68/3.80      real_-2/7) & real_$greatereq(real_70/111, real_-7) &
% 20.68/3.80    real_$greatereq(real_70/111, real_-111/20) & real_$greatereq(real_70/111,
% 20.68/3.80      real_-7/2) & real_$greatereq(real_70/111, real_0) &
% 20.68/3.80    real_$greatereq(real_-20/111, real_-111/10) & real_$greatereq(real_-20/111,
% 20.68/3.80      real_-20/111) & real_$greatereq(real_-20/111, real_-41/20) &
% 20.68/3.80    real_$greatereq(real_-20/111, real_-181/20) & real_$greatereq(real_-20/111,
% 20.68/3.80      real_-2/7) & real_$greatereq(real_-20/111, real_-7) &
% 20.68/3.80    real_$greatereq(real_-20/111, real_-111/20) & real_$greatereq(real_-20/111,
% 20.68/3.80      real_-7/2) & real_$greatereq(real_-41/20, real_-111/10) &
% 20.68/3.80    real_$greatereq(real_-41/20, real_-41/20) & real_$greatereq(real_-41/20,
% 20.68/3.80      real_-181/20) & real_$greatereq(real_-41/20, real_-7) &
% 20.68/3.80    real_$greatereq(real_-41/20, real_-111/20) & real_$greatereq(real_-41/20,
% 20.68/3.80      real_-7/2) & real_$greatereq(real_111/20, real_-111/10) &
% 20.68/3.80    real_$greatereq(real_111/20, real_70/111) & real_$greatereq(real_111/20,
% 20.68/3.80      real_-20/111) & real_$greatereq(real_111/20, real_-41/20) &
% 20.68/3.80    real_$greatereq(real_111/20, real_111/20) & real_$greatereq(real_111/20,
% 20.68/3.80      real_111/70) & real_$greatereq(real_111/20, real_41/20) &
% 20.68/3.80    real_$greatereq(real_111/20, real_-181/20) & real_$greatereq(real_111/20,
% 20.68/3.80      real_1) & real_$greatereq(real_111/20, real_-2/7) &
% 20.68/3.80    real_$greatereq(real_111/20, real_-7) & real_$greatereq(real_111/20, real_7/2)
% 20.68/3.80    & real_$greatereq(real_111/20, real_-111/20) & real_$greatereq(real_111/20,
% 20.68/3.80      real_-7/2) & real_$greatereq(real_111/20, real_0) &
% 20.68/3.80    real_$greatereq(real_111/70, real_-111/10) & real_$greatereq(real_111/70,
% 20.68/3.80      real_70/111) & real_$greatereq(real_111/70, real_-20/111) &
% 20.68/3.80    real_$greatereq(real_111/70, real_-41/20) & real_$greatereq(real_111/70,
% 20.68/3.80      real_111/70) & real_$greatereq(real_111/70, real_-181/20) &
% 20.68/3.80    real_$greatereq(real_111/70, real_1) & real_$greatereq(real_111/70, real_-2/7)
% 20.68/3.80    & real_$greatereq(real_111/70, real_-7) & real_$greatereq(real_111/70,
% 20.68/3.80      real_-111/20) & real_$greatereq(real_111/70, real_-7/2) &
% 20.68/3.80    real_$greatereq(real_111/70, real_0) & real_$greatereq(real_777/40,
% 20.68/3.80      real_-111/10) & real_$greatereq(real_777/40, real_70/111) &
% 20.68/3.80    real_$greatereq(real_777/40, real_-20/111) & real_$greatereq(real_777/40,
% 20.68/3.80      real_-41/20) & real_$greatereq(real_777/40, real_111/20) &
% 20.68/3.80    real_$greatereq(real_777/40, real_111/70) & real_$greatereq(real_777/40,
% 20.68/3.80      real_777/40) & real_$greatereq(real_777/40, real_41/20) &
% 20.68/3.80    real_$greatereq(real_777/40, real_-181/20) & real_$greatereq(real_777/40,
% 20.68/3.80      real_1) & real_$greatereq(real_777/40, real_-2/7) &
% 20.68/3.80    real_$greatereq(real_777/40, real_49/4) & real_$greatereq(real_777/40,
% 20.68/3.80      real_-7) & real_$greatereq(real_777/40, real_7/2) &
% 20.68/3.80    real_$greatereq(real_777/40, real_-111/20) & real_$greatereq(real_777/40,
% 20.68/3.80      real_-7/2) & real_$greatereq(real_777/40, real_0) &
% 20.68/3.80    real_$greatereq(real_41/20, real_-111/10) & real_$greatereq(real_41/20,
% 20.68/3.80      real_70/111) & real_$greatereq(real_41/20, real_-20/111) &
% 20.68/3.80    real_$greatereq(real_41/20, real_-41/20) & real_$greatereq(real_41/20,
% 20.68/3.80      real_111/70) & real_$greatereq(real_41/20, real_41/20) &
% 20.68/3.80    real_$greatereq(real_41/20, real_-181/20) & real_$greatereq(real_41/20,
% 20.68/3.80      real_1) & real_$greatereq(real_41/20, real_-2/7) &
% 20.68/3.80    real_$greatereq(real_41/20, real_-7) & real_$greatereq(real_41/20,
% 20.68/3.80      real_-111/20) & real_$greatereq(real_41/20, real_-7/2) &
% 20.68/3.80    real_$greatereq(real_41/20, real_0) & real_$greatereq(real_-181/20,
% 20.68/3.80      real_-111/10) & real_$greatereq(real_-181/20, real_-181/20) &
% 20.68/3.80    real_$greatereq(real_1, real_-111/10) & real_$greatereq(real_1, real_70/111) &
% 20.68/3.80    real_$greatereq(real_1, real_-20/111) & real_$greatereq(real_1, real_-41/20) &
% 20.68/3.80    real_$greatereq(real_1, real_-181/20) & real_$greatereq(real_1, real_1) &
% 20.68/3.80    real_$greatereq(real_1, real_-2/7) & real_$greatereq(real_1, real_-7) &
% 20.68/3.80    real_$greatereq(real_1, real_-111/20) & real_$greatereq(real_1, real_-7/2) &
% 20.68/3.80    real_$greatereq(real_1, real_0) & real_$greatereq(real_-2/7, real_-111/10) &
% 20.68/3.80    real_$greatereq(real_-2/7, real_-41/20) & real_$greatereq(real_-2/7,
% 20.68/3.80      real_-181/20) & real_$greatereq(real_-2/7, real_-2/7) &
% 20.68/3.80    real_$greatereq(real_-2/7, real_-7) & real_$greatereq(real_-2/7, real_-111/20)
% 20.68/3.80    & real_$greatereq(real_-2/7, real_-7/2) & real_$greatereq(real_49/4,
% 20.68/3.80      real_-111/10) & real_$greatereq(real_49/4, real_70/111) &
% 20.68/3.80    real_$greatereq(real_49/4, real_-20/111) & real_$greatereq(real_49/4,
% 20.68/3.80      real_-41/20) & real_$greatereq(real_49/4, real_111/20) &
% 20.68/3.80    real_$greatereq(real_49/4, real_111/70) & real_$greatereq(real_49/4,
% 20.68/3.80      real_41/20) & real_$greatereq(real_49/4, real_-181/20) &
% 20.68/3.80    real_$greatereq(real_49/4, real_1) & real_$greatereq(real_49/4, real_-2/7) &
% 20.68/3.80    real_$greatereq(real_49/4, real_49/4) & real_$greatereq(real_49/4, real_-7) &
% 20.68/3.80    real_$greatereq(real_49/4, real_7/2) & real_$greatereq(real_49/4,
% 20.68/3.80      real_-111/20) & real_$greatereq(real_49/4, real_-7/2) &
% 20.68/3.80    real_$greatereq(real_49/4, real_0) & real_$greatereq(real_-7, real_-111/10) &
% 20.68/3.80    real_$greatereq(real_-7, real_-181/20) & real_$greatereq(real_-7, real_-7) &
% 20.68/3.80    real_$greatereq(real_7/2, real_-111/10) & real_$greatereq(real_7/2,
% 20.68/3.80      real_70/111) & real_$greatereq(real_7/2, real_-20/111) &
% 20.68/3.80    real_$greatereq(real_7/2, real_-41/20) & real_$greatereq(real_7/2,
% 20.68/3.80      real_111/70) & real_$greatereq(real_7/2, real_41/20) &
% 20.68/3.80    real_$greatereq(real_7/2, real_-181/20) & real_$greatereq(real_7/2, real_1) &
% 20.68/3.80    real_$greatereq(real_7/2, real_-2/7) & real_$greatereq(real_7/2, real_-7) &
% 20.68/3.80    real_$greatereq(real_7/2, real_7/2) & real_$greatereq(real_7/2, real_-111/20)
% 20.68/3.80    & real_$greatereq(real_7/2, real_-7/2) & real_$greatereq(real_7/2, real_0) &
% 20.68/3.80    real_$greatereq(real_-111/20, real_-111/10) & real_$greatereq(real_-111/20,
% 20.68/3.80      real_-181/20) & real_$greatereq(real_-111/20, real_-7) &
% 20.68/3.80    real_$greatereq(real_-111/20, real_-111/20) & real_$greatereq(real_-7/2,
% 20.68/3.80      real_-111/10) & real_$greatereq(real_-7/2, real_-181/20) &
% 20.68/3.80    real_$greatereq(real_-7/2, real_-7) & real_$greatereq(real_-7/2, real_-111/20)
% 20.68/3.80    & real_$greatereq(real_-7/2, real_-7/2) & real_$greatereq(real_0,
% 20.68/3.80      real_-111/10) & real_$greatereq(real_0, real_-20/111) &
% 20.68/3.80    real_$greatereq(real_0, real_-41/20) & real_$greatereq(real_0, real_-181/20) &
% 20.68/3.80    real_$greatereq(real_0, real_-2/7) & real_$greatereq(real_0, real_-7) &
% 20.68/3.80    real_$greatereq(real_0, real_-111/20) & real_$greatereq(real_0, real_-7/2) &
% 20.68/3.80    real_$greatereq(real_0, real_0) & real_$greater(real_very_large,
% 20.68/3.80      real_12321/400) & real_$greater(real_very_large, real_-111/10) &
% 20.68/3.80    real_$greater(real_very_large, real_70/111) & real_$greater(real_very_large,
% 20.68/3.80      real_-20/111) & real_$greater(real_very_large, real_-41/20) &
% 20.68/3.80    real_$greater(real_very_large, real_111/20) & real_$greater(real_very_large,
% 20.68/3.80      real_111/70) & real_$greater(real_very_large, real_777/40) &
% 20.68/3.80    real_$greater(real_very_large, real_41/20) & real_$greater(real_very_large,
% 20.68/3.80      real_-181/20) & real_$greater(real_very_large, real_1) &
% 20.68/3.80    real_$greater(real_very_large, real_-2/7) & real_$greater(real_very_large,
% 20.68/3.80      real_49/4) & real_$greater(real_very_large, real_-7) &
% 20.68/3.80    real_$greater(real_very_large, real_7/2) & real_$greater(real_very_large,
% 20.68/3.80      real_-111/20) & real_$greater(real_very_large, real_-7/2) &
% 20.68/3.80    real_$greater(real_very_large, real_0) & real_$greater(real_12321/400,
% 20.68/3.80      real_very_small) & real_$greater(real_12321/400, real_-111/10) &
% 20.68/3.80    real_$greater(real_12321/400, real_70/111) & real_$greater(real_12321/400,
% 20.68/3.80      real_-20/111) & real_$greater(real_12321/400, real_-41/20) &
% 20.68/3.80    real_$greater(real_12321/400, real_111/20) & real_$greater(real_12321/400,
% 20.68/3.80      real_111/70) & real_$greater(real_12321/400, real_777/40) &
% 20.68/3.80    real_$greater(real_12321/400, real_41/20) & real_$greater(real_12321/400,
% 20.68/3.80      real_-181/20) & real_$greater(real_12321/400, real_1) &
% 20.68/3.80    real_$greater(real_12321/400, real_-2/7) & real_$greater(real_12321/400,
% 20.68/3.80      real_49/4) & real_$greater(real_12321/400, real_-7) &
% 20.68/3.80    real_$greater(real_12321/400, real_7/2) & real_$greater(real_12321/400,
% 20.68/3.80      real_-111/20) & real_$greater(real_12321/400, real_-7/2) &
% 20.68/3.80    real_$greater(real_12321/400, real_0) & real_$greater(real_-111/10,
% 20.68/3.80      real_very_small) & real_$greater(real_70/111, real_very_small) &
% 20.68/3.80    real_$greater(real_70/111, real_-111/10) & real_$greater(real_70/111,
% 20.68/3.80      real_-20/111) & real_$greater(real_70/111, real_-41/20) &
% 20.68/3.80    real_$greater(real_70/111, real_-181/20) & real_$greater(real_70/111,
% 20.68/3.80      real_-2/7) & real_$greater(real_70/111, real_-7) &
% 20.68/3.80    real_$greater(real_70/111, real_-111/20) & real_$greater(real_70/111,
% 20.68/3.80      real_-7/2) & real_$greater(real_70/111, real_0) &
% 20.68/3.80    real_$greater(real_-20/111, real_very_small) & real_$greater(real_-20/111,
% 20.68/3.80      real_-111/10) & real_$greater(real_-20/111, real_-41/20) &
% 20.68/3.80    real_$greater(real_-20/111, real_-181/20) & real_$greater(real_-20/111,
% 20.68/3.80      real_-2/7) & real_$greater(real_-20/111, real_-7) &
% 20.68/3.80    real_$greater(real_-20/111, real_-111/20) & real_$greater(real_-20/111,
% 20.68/3.80      real_-7/2) & real_$greater(real_-41/20, real_very_small) &
% 20.68/3.80    real_$greater(real_-41/20, real_-111/10) & real_$greater(real_-41/20,
% 20.68/3.80      real_-181/20) & real_$greater(real_-41/20, real_-7) &
% 20.68/3.80    real_$greater(real_-41/20, real_-111/20) & real_$greater(real_-41/20,
% 20.68/3.80      real_-7/2) & real_$greater(real_111/20, real_very_small) &
% 20.68/3.80    real_$greater(real_111/20, real_-111/10) & real_$greater(real_111/20,
% 20.68/3.80      real_70/111) & real_$greater(real_111/20, real_-20/111) &
% 20.68/3.80    real_$greater(real_111/20, real_-41/20) & real_$greater(real_111/20,
% 20.68/3.80      real_111/70) & real_$greater(real_111/20, real_41/20) &
% 20.68/3.80    real_$greater(real_111/20, real_-181/20) & real_$greater(real_111/20, real_1)
% 20.68/3.80    & real_$greater(real_111/20, real_-2/7) & real_$greater(real_111/20, real_-7)
% 20.68/3.80    & real_$greater(real_111/20, real_7/2) & real_$greater(real_111/20,
% 20.68/3.80      real_-111/20) & real_$greater(real_111/20, real_-7/2) &
% 20.68/3.80    real_$greater(real_111/20, real_0) & real_$greater(real_111/70,
% 20.68/3.80      real_very_small) & real_$greater(real_111/70, real_-111/10) &
% 20.68/3.80    real_$greater(real_111/70, real_70/111) & real_$greater(real_111/70,
% 20.68/3.80      real_-20/111) & real_$greater(real_111/70, real_-41/20) &
% 20.68/3.80    real_$greater(real_111/70, real_-181/20) & real_$greater(real_111/70, real_1)
% 20.68/3.80    & real_$greater(real_111/70, real_-2/7) & real_$greater(real_111/70, real_-7)
% 20.68/3.80    & real_$greater(real_111/70, real_-111/20) & real_$greater(real_111/70,
% 20.68/3.80      real_-7/2) & real_$greater(real_111/70, real_0) & real_$greater(real_777/40,
% 20.68/3.80      real_very_small) & real_$greater(real_777/40, real_-111/10) &
% 20.68/3.80    real_$greater(real_777/40, real_70/111) & real_$greater(real_777/40,
% 20.68/3.80      real_-20/111) & real_$greater(real_777/40, real_-41/20) &
% 20.68/3.80    real_$greater(real_777/40, real_111/20) & real_$greater(real_777/40,
% 20.68/3.80      real_111/70) & real_$greater(real_777/40, real_41/20) &
% 20.68/3.80    real_$greater(real_777/40, real_-181/20) & real_$greater(real_777/40, real_1)
% 20.68/3.80    & real_$greater(real_777/40, real_-2/7) & real_$greater(real_777/40,
% 20.68/3.80      real_49/4) & real_$greater(real_777/40, real_-7) &
% 20.68/3.80    real_$greater(real_777/40, real_7/2) & real_$greater(real_777/40,
% 20.68/3.80      real_-111/20) & real_$greater(real_777/40, real_-7/2) &
% 20.68/3.80    real_$greater(real_777/40, real_0) & real_$greater(real_41/20,
% 20.68/3.80      real_very_small) & real_$greater(real_41/20, real_-111/10) &
% 20.68/3.80    real_$greater(real_41/20, real_70/111) & real_$greater(real_41/20,
% 20.68/3.80      real_-20/111) & real_$greater(real_41/20, real_-41/20) &
% 20.68/3.80    real_$greater(real_41/20, real_111/70) & real_$greater(real_41/20,
% 20.68/3.80      real_-181/20) & real_$greater(real_41/20, real_1) &
% 20.68/3.80    real_$greater(real_41/20, real_-2/7) & real_$greater(real_41/20, real_-7) &
% 20.68/3.80    real_$greater(real_41/20, real_-111/20) & real_$greater(real_41/20, real_-7/2)
% 20.68/3.80    & real_$greater(real_41/20, real_0) & real_$greater(real_-181/20,
% 20.68/3.80      real_very_small) & real_$greater(real_-181/20, real_-111/10) &
% 20.68/3.80    real_$greater(real_1, real_very_small) & real_$greater(real_1, real_-111/10) &
% 20.68/3.80    real_$greater(real_1, real_70/111) & real_$greater(real_1, real_-20/111) &
% 20.68/3.80    real_$greater(real_1, real_-41/20) & real_$greater(real_1, real_-181/20) &
% 20.68/3.80    real_$greater(real_1, real_-2/7) & real_$greater(real_1, real_-7) &
% 20.68/3.80    real_$greater(real_1, real_-111/20) & real_$greater(real_1, real_-7/2) &
% 20.68/3.80    real_$greater(real_1, real_0) & real_$greater(real_-2/7, real_very_small) &
% 20.68/3.80    real_$greater(real_-2/7, real_-111/10) & real_$greater(real_-2/7, real_-41/20)
% 20.68/3.80    & real_$greater(real_-2/7, real_-181/20) & real_$greater(real_-2/7, real_-7) &
% 20.68/3.80    real_$greater(real_-2/7, real_-111/20) & real_$greater(real_-2/7, real_-7/2) &
% 20.68/3.80    real_$greater(real_49/4, real_very_small) & real_$greater(real_49/4,
% 20.68/3.80      real_-111/10) & real_$greater(real_49/4, real_70/111) &
% 20.68/3.80    real_$greater(real_49/4, real_-20/111) & real_$greater(real_49/4, real_-41/20)
% 20.68/3.80    & real_$greater(real_49/4, real_111/20) & real_$greater(real_49/4,
% 20.68/3.80      real_111/70) & real_$greater(real_49/4, real_41/20) &
% 20.68/3.80    real_$greater(real_49/4, real_-181/20) & real_$greater(real_49/4, real_1) &
% 20.68/3.80    real_$greater(real_49/4, real_-2/7) & real_$greater(real_49/4, real_-7) &
% 20.68/3.80    real_$greater(real_49/4, real_7/2) & real_$greater(real_49/4, real_-111/20) &
% 20.68/3.80    real_$greater(real_49/4, real_-7/2) & real_$greater(real_49/4, real_0) &
% 20.68/3.80    real_$greater(real_-7, real_very_small) & real_$greater(real_-7, real_-111/10)
% 20.68/3.80    & real_$greater(real_-7, real_-181/20) & real_$greater(real_7/2,
% 20.68/3.80      real_very_small) & real_$greater(real_7/2, real_-111/10) &
% 20.68/3.80    real_$greater(real_7/2, real_70/111) & real_$greater(real_7/2, real_-20/111) &
% 20.68/3.80    real_$greater(real_7/2, real_-41/20) & real_$greater(real_7/2, real_111/70) &
% 20.68/3.80    real_$greater(real_7/2, real_41/20) & real_$greater(real_7/2, real_-181/20) &
% 20.68/3.80    real_$greater(real_7/2, real_1) & real_$greater(real_7/2, real_-2/7) &
% 20.68/3.80    real_$greater(real_7/2, real_-7) & real_$greater(real_7/2, real_-111/20) &
% 20.68/3.80    real_$greater(real_7/2, real_-7/2) & real_$greater(real_7/2, real_0) &
% 20.68/3.80    real_$greater(real_-111/20, real_very_small) & real_$greater(real_-111/20,
% 20.68/3.80      real_-111/10) & real_$greater(real_-111/20, real_-181/20) &
% 20.68/3.80    real_$greater(real_-111/20, real_-7) & real_$greater(real_-7/2,
% 20.68/3.80      real_very_small) & real_$greater(real_-7/2, real_-111/10) &
% 20.68/3.80    real_$greater(real_-7/2, real_-181/20) & real_$greater(real_-7/2, real_-7) &
% 20.68/3.80    real_$greater(real_-7/2, real_-111/20) & real_$greater(real_0,
% 20.68/3.80      real_very_small) & real_$greater(real_0, real_-111/10) &
% 20.68/3.80    real_$greater(real_0, real_-20/111) & real_$greater(real_0, real_-41/20) &
% 20.68/3.80    real_$greater(real_0, real_-181/20) & real_$greater(real_0, real_-2/7) &
% 20.68/3.80    real_$greater(real_0, real_-7) & real_$greater(real_0, real_-111/20) &
% 20.68/3.80    real_$greater(real_0, real_-7/2) & real_$lesseq(real_very_small,
% 20.68/3.80      real_very_large) & real_$lesseq(real_12321/400, real_12321/400) &
% 20.68/3.80    real_$lesseq(real_-111/10, real_12321/400) & real_$lesseq(real_-111/10,
% 20.68/3.80      real_-111/10) & real_$lesseq(real_-111/10, real_70/111) &
% 20.68/3.80    real_$lesseq(real_-111/10, real_-20/111) & real_$lesseq(real_-111/10,
% 20.68/3.80      real_-41/20) & real_$lesseq(real_-111/10, real_111/20) &
% 20.68/3.80    real_$lesseq(real_-111/10, real_111/70) & real_$lesseq(real_-111/10,
% 20.68/3.80      real_777/40) & real_$lesseq(real_-111/10, real_41/20) &
% 20.68/3.80    real_$lesseq(real_-111/10, real_-181/20) & real_$lesseq(real_-111/10, real_1)
% 20.68/3.80    & real_$lesseq(real_-111/10, real_-2/7) & real_$lesseq(real_-111/10,
% 20.68/3.80      real_49/4) & real_$lesseq(real_-111/10, real_-7) &
% 20.68/3.80    real_$lesseq(real_-111/10, real_7/2) & real_$lesseq(real_-111/10,
% 20.68/3.80      real_-111/20) & real_$lesseq(real_-111/10, real_-7/2) &
% 20.68/3.80    real_$lesseq(real_-111/10, real_0) & real_$lesseq(real_70/111, real_12321/400)
% 20.68/3.80    & real_$lesseq(real_70/111, real_70/111) & real_$lesseq(real_70/111,
% 20.68/3.80      real_111/20) & real_$lesseq(real_70/111, real_111/70) &
% 20.68/3.80    real_$lesseq(real_70/111, real_777/40) & real_$lesseq(real_70/111, real_41/20)
% 20.68/3.80    & real_$lesseq(real_70/111, real_1) & real_$lesseq(real_70/111, real_49/4) &
% 20.68/3.80    real_$lesseq(real_70/111, real_7/2) & real_$lesseq(real_-20/111,
% 20.68/3.80      real_12321/400) & real_$lesseq(real_-20/111, real_70/111) &
% 20.68/3.80    real_$lesseq(real_-20/111, real_-20/111) & real_$lesseq(real_-20/111,
% 20.68/3.80      real_111/20) & real_$lesseq(real_-20/111, real_111/70) &
% 20.68/3.80    real_$lesseq(real_-20/111, real_777/40) & real_$lesseq(real_-20/111,
% 20.68/3.80      real_41/20) & real_$lesseq(real_-20/111, real_1) &
% 20.68/3.80    real_$lesseq(real_-20/111, real_49/4) & real_$lesseq(real_-20/111, real_7/2) &
% 20.68/3.80    real_$lesseq(real_-20/111, real_0) & real_$lesseq(real_-41/20, real_12321/400)
% 20.68/3.80    & real_$lesseq(real_-41/20, real_70/111) & real_$lesseq(real_-41/20,
% 20.68/3.80      real_-20/111) & real_$lesseq(real_-41/20, real_-41/20) &
% 20.68/3.80    real_$lesseq(real_-41/20, real_111/20) & real_$lesseq(real_-41/20,
% 20.68/3.80      real_111/70) & real_$lesseq(real_-41/20, real_777/40) &
% 20.68/3.80    real_$lesseq(real_-41/20, real_41/20) & real_$lesseq(real_-41/20, real_1) &
% 20.68/3.80    real_$lesseq(real_-41/20, real_-2/7) & real_$lesseq(real_-41/20, real_49/4) &
% 20.68/3.80    real_$lesseq(real_-41/20, real_7/2) & real_$lesseq(real_-41/20, real_0) &
% 20.68/3.80    real_$lesseq(real_111/20, real_12321/400) & real_$lesseq(real_111/20,
% 20.68/3.80      real_111/20) & real_$lesseq(real_111/20, real_777/40) &
% 20.68/3.80    real_$lesseq(real_111/20, real_49/4) & real_$lesseq(real_111/70,
% 20.68/3.80      real_12321/400) & real_$lesseq(real_111/70, real_111/20) &
% 20.68/3.80    real_$lesseq(real_111/70, real_111/70) & real_$lesseq(real_111/70,
% 20.68/3.80      real_777/40) & real_$lesseq(real_111/70, real_41/20) &
% 20.68/3.80    real_$lesseq(real_111/70, real_49/4) & real_$lesseq(real_111/70, real_7/2) &
% 20.68/3.80    real_$lesseq(real_777/40, real_12321/400) & real_$lesseq(real_777/40,
% 20.68/3.80      real_777/40) & real_$lesseq(real_41/20, real_12321/400) &
% 20.68/3.80    real_$lesseq(real_41/20, real_111/20) & real_$lesseq(real_41/20, real_777/40)
% 20.68/3.80    & real_$lesseq(real_41/20, real_41/20) & real_$lesseq(real_41/20, real_49/4) &
% 20.68/3.80    real_$lesseq(real_41/20, real_7/2) & real_$lesseq(real_-181/20,
% 20.68/3.80      real_12321/400) & real_$lesseq(real_-181/20, real_70/111) &
% 20.68/3.80    real_$lesseq(real_-181/20, real_-20/111) & real_$lesseq(real_-181/20,
% 20.68/3.80      real_-41/20) & real_$lesseq(real_-181/20, real_111/20) &
% 20.68/3.80    real_$lesseq(real_-181/20, real_111/70) & real_$lesseq(real_-181/20,
% 20.68/3.80      real_777/40) & real_$lesseq(real_-181/20, real_41/20) &
% 20.68/3.80    real_$lesseq(real_-181/20, real_-181/20) & real_$lesseq(real_-181/20, real_1)
% 20.68/3.80    & real_$lesseq(real_-181/20, real_-2/7) & real_$lesseq(real_-181/20,
% 20.68/3.80      real_49/4) & real_$lesseq(real_-181/20, real_-7) &
% 20.68/3.80    real_$lesseq(real_-181/20, real_7/2) & real_$lesseq(real_-181/20,
% 20.68/3.80      real_-111/20) & real_$lesseq(real_-181/20, real_-7/2) &
% 20.68/3.80    real_$lesseq(real_-181/20, real_0) & real_$lesseq(real_1, real_12321/400) &
% 20.68/3.80    real_$lesseq(real_1, real_111/20) & real_$lesseq(real_1, real_111/70) &
% 20.68/3.80    real_$lesseq(real_1, real_777/40) & real_$lesseq(real_1, real_41/20) &
% 20.68/3.80    real_$lesseq(real_1, real_1) & real_$lesseq(real_1, real_49/4) &
% 20.68/3.80    real_$lesseq(real_1, real_7/2) & real_$lesseq(real_-2/7, real_12321/400) &
% 20.68/3.80    real_$lesseq(real_-2/7, real_70/111) & real_$lesseq(real_-2/7, real_-20/111) &
% 20.68/3.80    real_$lesseq(real_-2/7, real_111/20) & real_$lesseq(real_-2/7, real_111/70) &
% 20.68/3.80    real_$lesseq(real_-2/7, real_777/40) & real_$lesseq(real_-2/7, real_41/20) &
% 20.68/3.80    real_$lesseq(real_-2/7, real_1) & real_$lesseq(real_-2/7, real_-2/7) &
% 20.68/3.80    real_$lesseq(real_-2/7, real_49/4) & real_$lesseq(real_-2/7, real_7/2) &
% 20.68/3.80    real_$lesseq(real_-2/7, real_0) & real_$lesseq(real_49/4, real_12321/400) &
% 20.68/3.80    real_$lesseq(real_49/4, real_777/40) & real_$lesseq(real_49/4, real_49/4) &
% 20.68/3.80    real_$lesseq(real_-7, real_12321/400) & real_$lesseq(real_-7, real_70/111) &
% 20.68/3.80    real_$lesseq(real_-7, real_-20/111) & real_$lesseq(real_-7, real_-41/20) &
% 20.68/3.80    real_$lesseq(real_-7, real_111/20) & real_$lesseq(real_-7, real_111/70) &
% 20.68/3.80    real_$lesseq(real_-7, real_777/40) & real_$lesseq(real_-7, real_41/20) &
% 20.68/3.80    real_$lesseq(real_-7, real_1) & real_$lesseq(real_-7, real_-2/7) &
% 20.68/3.80    real_$lesseq(real_-7, real_49/4) & real_$lesseq(real_-7, real_-7) &
% 20.68/3.80    real_$lesseq(real_-7, real_7/2) & real_$lesseq(real_-7, real_-111/20) &
% 20.68/3.80    real_$lesseq(real_-7, real_-7/2) & real_$lesseq(real_-7, real_0) &
% 20.68/3.80    real_$lesseq(real_7/2, real_12321/400) & real_$lesseq(real_7/2, real_111/20) &
% 20.68/3.80    real_$lesseq(real_7/2, real_777/40) & real_$lesseq(real_7/2, real_49/4) &
% 20.68/3.80    real_$lesseq(real_7/2, real_7/2) & real_$lesseq(real_-111/20, real_12321/400)
% 20.68/3.80    & real_$lesseq(real_-111/20, real_70/111) & real_$lesseq(real_-111/20,
% 20.68/3.80      real_-20/111) & real_$lesseq(real_-111/20, real_-41/20) &
% 20.68/3.80    real_$lesseq(real_-111/20, real_111/20) & real_$lesseq(real_-111/20,
% 20.68/3.80      real_111/70) & real_$lesseq(real_-111/20, real_777/40) &
% 20.68/3.80    real_$lesseq(real_-111/20, real_41/20) & real_$lesseq(real_-111/20, real_1) &
% 20.68/3.80    real_$lesseq(real_-111/20, real_-2/7) & real_$lesseq(real_-111/20, real_49/4)
% 20.68/3.80    & real_$lesseq(real_-111/20, real_7/2) & real_$lesseq(real_-111/20,
% 20.68/3.80      real_-111/20) & real_$lesseq(real_-111/20, real_-7/2) &
% 20.68/3.80    real_$lesseq(real_-111/20, real_0) & real_$lesseq(real_-7/2, real_12321/400) &
% 20.68/3.80    real_$lesseq(real_-7/2, real_70/111) & real_$lesseq(real_-7/2, real_-20/111) &
% 20.68/3.80    real_$lesseq(real_-7/2, real_-41/20) & real_$lesseq(real_-7/2, real_111/20) &
% 20.68/3.80    real_$lesseq(real_-7/2, real_111/70) & real_$lesseq(real_-7/2, real_777/40) &
% 20.68/3.80    real_$lesseq(real_-7/2, real_41/20) & real_$lesseq(real_-7/2, real_1) &
% 20.68/3.80    real_$lesseq(real_-7/2, real_-2/7) & real_$lesseq(real_-7/2, real_49/4) &
% 20.68/3.80    real_$lesseq(real_-7/2, real_7/2) & real_$lesseq(real_-7/2, real_-7/2) &
% 20.68/3.80    real_$lesseq(real_-7/2, real_0) & real_$lesseq(real_0, real_12321/400) &
% 20.68/3.80    real_$lesseq(real_0, real_70/111) & real_$lesseq(real_0, real_111/20) &
% 20.68/3.80    real_$lesseq(real_0, real_111/70) & real_$lesseq(real_0, real_777/40) &
% 20.68/3.80    real_$lesseq(real_0, real_41/20) & real_$lesseq(real_0, real_1) &
% 20.68/3.80    real_$lesseq(real_0, real_49/4) & real_$lesseq(real_0, real_7/2) &
% 20.68/3.80    real_$lesseq(real_0, real_0) & real_$less(real_very_small, real_very_large) &
% 20.68/3.80    real_$less(real_very_small, real_12321/400) & real_$less(real_very_small,
% 20.68/3.80      real_-111/10) & real_$less(real_very_small, real_70/111) &
% 20.68/3.80    real_$less(real_very_small, real_-20/111) & real_$less(real_very_small,
% 20.68/3.80      real_-41/20) & real_$less(real_very_small, real_111/20) &
% 20.68/3.80    real_$less(real_very_small, real_111/70) & real_$less(real_very_small,
% 20.68/3.80      real_777/40) & real_$less(real_very_small, real_41/20) &
% 20.68/3.80    real_$less(real_very_small, real_-181/20) & real_$less(real_very_small,
% 20.68/3.80      real_1) & real_$less(real_very_small, real_-2/7) &
% 20.68/3.80    real_$less(real_very_small, real_49/4) & real_$less(real_very_small, real_-7)
% 20.68/3.80    & real_$less(real_very_small, real_7/2) & real_$less(real_very_small,
% 20.68/3.80      real_-111/20) & real_$less(real_very_small, real_-7/2) &
% 20.68/3.80    real_$less(real_very_small, real_0) & real_$less(real_12321/400,
% 20.68/3.80      real_very_large) & real_$less(real_-111/10, real_very_large) &
% 20.68/3.80    real_$less(real_-111/10, real_12321/400) & real_$less(real_-111/10,
% 20.68/3.80      real_70/111) & real_$less(real_-111/10, real_-20/111) &
% 20.68/3.80    real_$less(real_-111/10, real_-41/20) & real_$less(real_-111/10, real_111/20)
% 20.68/3.80    & real_$less(real_-111/10, real_111/70) & real_$less(real_-111/10,
% 20.68/3.80      real_777/40) & real_$less(real_-111/10, real_41/20) &
% 20.68/3.80    real_$less(real_-111/10, real_-181/20) & real_$less(real_-111/10, real_1) &
% 20.68/3.80    real_$less(real_-111/10, real_-2/7) & real_$less(real_-111/10, real_49/4) &
% 20.68/3.80    real_$less(real_-111/10, real_-7) & real_$less(real_-111/10, real_7/2) &
% 20.68/3.80    real_$less(real_-111/10, real_-111/20) & real_$less(real_-111/10, real_-7/2) &
% 20.68/3.80    real_$less(real_-111/10, real_0) & real_$less(real_70/111, real_very_large) &
% 20.68/3.80    real_$less(real_70/111, real_12321/400) & real_$less(real_70/111, real_111/20)
% 20.68/3.80    & real_$less(real_70/111, real_111/70) & real_$less(real_70/111, real_777/40)
% 20.68/3.80    & real_$less(real_70/111, real_41/20) & real_$less(real_70/111, real_1) &
% 20.68/3.80    real_$less(real_70/111, real_49/4) & real_$less(real_70/111, real_7/2) &
% 20.68/3.80    real_$less(real_-20/111, real_very_large) & real_$less(real_-20/111,
% 20.68/3.80      real_12321/400) & real_$less(real_-20/111, real_70/111) &
% 20.68/3.80    real_$less(real_-20/111, real_111/20) & real_$less(real_-20/111, real_111/70)
% 20.68/3.80    & real_$less(real_-20/111, real_777/40) & real_$less(real_-20/111, real_41/20)
% 20.68/3.80    & real_$less(real_-20/111, real_1) & real_$less(real_-20/111, real_49/4) &
% 20.68/3.80    real_$less(real_-20/111, real_7/2) & real_$less(real_-20/111, real_0) &
% 20.68/3.80    real_$less(real_-41/20, real_very_large) & real_$less(real_-41/20,
% 20.68/3.80      real_12321/400) & real_$less(real_-41/20, real_70/111) &
% 20.68/3.80    real_$less(real_-41/20, real_-20/111) & real_$less(real_-41/20, real_111/20) &
% 20.68/3.80    real_$less(real_-41/20, real_111/70) & real_$less(real_-41/20, real_777/40) &
% 20.68/3.80    real_$less(real_-41/20, real_41/20) & real_$less(real_-41/20, real_1) &
% 20.68/3.80    real_$less(real_-41/20, real_-2/7) & real_$less(real_-41/20, real_49/4) &
% 20.68/3.80    real_$less(real_-41/20, real_7/2) & real_$less(real_-41/20, real_0) &
% 20.68/3.80    real_$less(real_111/20, real_very_large) & real_$less(real_111/20,
% 20.68/3.80      real_12321/400) & real_$less(real_111/20, real_777/40) &
% 20.68/3.80    real_$less(real_111/20, real_49/4) & real_$less(real_111/70, real_very_large)
% 20.68/3.80    & real_$less(real_111/70, real_12321/400) & real_$less(real_111/70,
% 20.68/3.80      real_111/20) & real_$less(real_111/70, real_777/40) &
% 20.68/3.80    real_$less(real_111/70, real_41/20) & real_$less(real_111/70, real_49/4) &
% 20.68/3.80    real_$less(real_111/70, real_7/2) & real_$less(real_777/40, real_very_large) &
% 20.68/3.80    real_$less(real_777/40, real_12321/400) & real_$less(real_41/20,
% 20.68/3.80      real_very_large) & real_$less(real_41/20, real_12321/400) &
% 20.68/3.80    real_$less(real_41/20, real_111/20) & real_$less(real_41/20, real_777/40) &
% 20.68/3.80    real_$less(real_41/20, real_49/4) & real_$less(real_41/20, real_7/2) &
% 20.68/3.80    real_$less(real_-181/20, real_very_large) & real_$less(real_-181/20,
% 20.68/3.80      real_12321/400) & real_$less(real_-181/20, real_70/111) &
% 20.68/3.80    real_$less(real_-181/20, real_-20/111) & real_$less(real_-181/20, real_-41/20)
% 20.68/3.80    & real_$less(real_-181/20, real_111/20) & real_$less(real_-181/20,
% 20.68/3.80      real_111/70) & real_$less(real_-181/20, real_777/40) &
% 20.68/3.80    real_$less(real_-181/20, real_41/20) & real_$less(real_-181/20, real_1) &
% 20.68/3.80    real_$less(real_-181/20, real_-2/7) & real_$less(real_-181/20, real_49/4) &
% 20.68/3.80    real_$less(real_-181/20, real_-7) & real_$less(real_-181/20, real_7/2) &
% 20.68/3.80    real_$less(real_-181/20, real_-111/20) & real_$less(real_-181/20, real_-7/2) &
% 20.68/3.80    real_$less(real_-181/20, real_0) & real_$less(real_1, real_very_large) &
% 20.68/3.80    real_$less(real_1, real_12321/400) & real_$less(real_1, real_111/20) &
% 20.68/3.80    real_$less(real_1, real_111/70) & real_$less(real_1, real_777/40) &
% 20.68/3.80    real_$less(real_1, real_41/20) & real_$less(real_1, real_49/4) &
% 20.68/3.80    real_$less(real_1, real_7/2) & real_$less(real_-2/7, real_very_large) &
% 20.68/3.80    real_$less(real_-2/7, real_12321/400) & real_$less(real_-2/7, real_70/111) &
% 20.68/3.80    real_$less(real_-2/7, real_-20/111) & real_$less(real_-2/7, real_111/20) &
% 20.68/3.80    real_$less(real_-2/7, real_111/70) & real_$less(real_-2/7, real_777/40) &
% 20.68/3.80    real_$less(real_-2/7, real_41/20) & real_$less(real_-2/7, real_1) &
% 20.68/3.80    real_$less(real_-2/7, real_49/4) & real_$less(real_-2/7, real_7/2) &
% 20.68/3.80    real_$less(real_-2/7, real_0) & real_$less(real_49/4, real_very_large) &
% 20.68/3.80    real_$less(real_49/4, real_12321/400) & real_$less(real_49/4, real_777/40) &
% 20.68/3.80    real_$less(real_-7, real_very_large) & real_$less(real_-7, real_12321/400) &
% 20.68/3.80    real_$less(real_-7, real_70/111) & real_$less(real_-7, real_-20/111) &
% 20.68/3.80    real_$less(real_-7, real_-41/20) & real_$less(real_-7, real_111/20) &
% 20.68/3.80    real_$less(real_-7, real_111/70) & real_$less(real_-7, real_777/40) &
% 20.68/3.80    real_$less(real_-7, real_41/20) & real_$less(real_-7, real_1) &
% 20.68/3.80    real_$less(real_-7, real_-2/7) & real_$less(real_-7, real_49/4) &
% 20.68/3.80    real_$less(real_-7, real_7/2) & real_$less(real_-7, real_-111/20) &
% 20.68/3.80    real_$less(real_-7, real_-7/2) & real_$less(real_-7, real_0) &
% 20.68/3.80    real_$less(real_7/2, real_very_large) & real_$less(real_7/2, real_12321/400) &
% 20.68/3.80    real_$less(real_7/2, real_111/20) & real_$less(real_7/2, real_777/40) &
% 20.68/3.80    real_$less(real_7/2, real_49/4) & real_$less(real_-111/20, real_very_large) &
% 20.68/3.80    real_$less(real_-111/20, real_12321/400) & real_$less(real_-111/20,
% 20.68/3.80      real_70/111) & real_$less(real_-111/20, real_-20/111) &
% 20.68/3.80    real_$less(real_-111/20, real_-41/20) & real_$less(real_-111/20, real_111/20)
% 20.68/3.80    & real_$less(real_-111/20, real_111/70) & real_$less(real_-111/20,
% 20.68/3.80      real_777/40) & real_$less(real_-111/20, real_41/20) &
% 20.68/3.80    real_$less(real_-111/20, real_1) & real_$less(real_-111/20, real_-2/7) &
% 20.68/3.80    real_$less(real_-111/20, real_49/4) & real_$less(real_-111/20, real_7/2) &
% 20.68/3.80    real_$less(real_-111/20, real_-7/2) & real_$less(real_-111/20, real_0) &
% 20.68/3.80    real_$less(real_-7/2, real_very_large) & real_$less(real_-7/2, real_12321/400)
% 20.68/3.80    & real_$less(real_-7/2, real_70/111) & real_$less(real_-7/2, real_-20/111) &
% 20.68/3.80    real_$less(real_-7/2, real_-41/20) & real_$less(real_-7/2, real_111/20) &
% 20.68/3.80    real_$less(real_-7/2, real_111/70) & real_$less(real_-7/2, real_777/40) &
% 20.68/3.80    real_$less(real_-7/2, real_41/20) & real_$less(real_-7/2, real_1) &
% 20.68/3.80    real_$less(real_-7/2, real_-2/7) & real_$less(real_-7/2, real_49/4) &
% 20.68/3.80    real_$less(real_-7/2, real_7/2) & real_$less(real_-7/2, real_0) &
% 20.68/3.80    real_$less(real_0, real_very_large) & real_$less(real_0, real_12321/400) &
% 20.68/3.80    real_$less(real_0, real_70/111) & real_$less(real_0, real_111/20) &
% 20.68/3.80    real_$less(real_0, real_111/70) & real_$less(real_0, real_777/40) &
% 20.68/3.80    real_$less(real_0, real_41/20) & real_$less(real_0, real_1) &
% 20.68/3.80    real_$less(real_0, real_49/4) & real_$less(real_0, real_7/2) &  ~
% 20.68/3.80    real_$is_int(real_12321/400) &  ~ real_$is_int(real_-111/10) &  ~
% 20.68/3.80    real_$is_int(real_70/111) &  ~ real_$is_int(real_-20/111) &  ~
% 20.68/3.80    real_$is_int(real_-41/20) &  ~ real_$is_int(real_111/20) &  ~
% 20.68/3.80    real_$is_int(real_111/70) &  ~ real_$is_int(real_777/40) &  ~
% 20.68/3.80    real_$is_int(real_41/20) &  ~ real_$is_int(real_-181/20) &  ~
% 20.68/3.80    real_$is_int(real_-2/7) &  ~ real_$is_int(real_49/4) &  ~
% 20.68/3.80    real_$is_int(real_7/2) &  ~ real_$is_int(real_-111/20) &  ~
% 20.68/3.80    real_$is_int(real_-7/2) &  ~ real_$greatereq(real_very_small, real_very_large)
% 20.68/3.80    &  ~ real_$greatereq(real_-111/10, real_12321/400) &  ~
% 20.68/3.80    real_$greatereq(real_-111/10, real_70/111) &  ~ real_$greatereq(real_-111/10,
% 20.68/3.80      real_-20/111) &  ~ real_$greatereq(real_-111/10, real_-41/20) &  ~
% 20.68/3.80    real_$greatereq(real_-111/10, real_111/20) &  ~ real_$greatereq(real_-111/10,
% 20.68/3.80      real_111/70) &  ~ real_$greatereq(real_-111/10, real_777/40) &  ~
% 20.68/3.80    real_$greatereq(real_-111/10, real_41/20) &  ~ real_$greatereq(real_-111/10,
% 20.68/3.80      real_-181/20) &  ~ real_$greatereq(real_-111/10, real_1) &  ~
% 20.68/3.80    real_$greatereq(real_-111/10, real_-2/7) &  ~ real_$greatereq(real_-111/10,
% 20.68/3.80      real_49/4) &  ~ real_$greatereq(real_-111/10, real_-7) &  ~
% 20.68/3.80    real_$greatereq(real_-111/10, real_7/2) &  ~ real_$greatereq(real_-111/10,
% 20.68/3.80      real_-111/20) &  ~ real_$greatereq(real_-111/10, real_-7/2) &  ~
% 20.68/3.80    real_$greatereq(real_-111/10, real_0) &  ~ real_$greatereq(real_70/111,
% 20.68/3.80      real_12321/400) &  ~ real_$greatereq(real_70/111, real_111/20) &  ~
% 20.68/3.80    real_$greatereq(real_70/111, real_111/70) &  ~ real_$greatereq(real_70/111,
% 20.68/3.80      real_777/40) &  ~ real_$greatereq(real_70/111, real_41/20) &  ~
% 20.68/3.80    real_$greatereq(real_70/111, real_1) &  ~ real_$greatereq(real_70/111,
% 20.68/3.80      real_49/4) &  ~ real_$greatereq(real_70/111, real_7/2) &  ~
% 20.68/3.80    real_$greatereq(real_-20/111, real_12321/400) &  ~
% 20.68/3.80    real_$greatereq(real_-20/111, real_70/111) &  ~ real_$greatereq(real_-20/111,
% 20.68/3.80      real_111/20) &  ~ real_$greatereq(real_-20/111, real_111/70) &  ~
% 20.68/3.80    real_$greatereq(real_-20/111, real_777/40) &  ~ real_$greatereq(real_-20/111,
% 20.68/3.80      real_41/20) &  ~ real_$greatereq(real_-20/111, real_1) &  ~
% 20.68/3.80    real_$greatereq(real_-20/111, real_49/4) &  ~ real_$greatereq(real_-20/111,
% 20.68/3.80      real_7/2) &  ~ real_$greatereq(real_-20/111, real_0) &  ~
% 20.68/3.80    real_$greatereq(real_-41/20, real_12321/400) &  ~ real_$greatereq(real_-41/20,
% 20.68/3.80      real_70/111) &  ~ real_$greatereq(real_-41/20, real_-20/111) &  ~
% 20.68/3.80    real_$greatereq(real_-41/20, real_111/20) &  ~ real_$greatereq(real_-41/20,
% 20.68/3.80      real_111/70) &  ~ real_$greatereq(real_-41/20, real_777/40) &  ~
% 20.68/3.80    real_$greatereq(real_-41/20, real_41/20) &  ~ real_$greatereq(real_-41/20,
% 20.68/3.80      real_1) &  ~ real_$greatereq(real_-41/20, real_-2/7) &  ~
% 20.68/3.80    real_$greatereq(real_-41/20, real_49/4) &  ~ real_$greatereq(real_-41/20,
% 20.68/3.80      real_7/2) &  ~ real_$greatereq(real_-41/20, real_0) &  ~
% 20.68/3.80    real_$greatereq(real_111/20, real_12321/400) &  ~ real_$greatereq(real_111/20,
% 20.68/3.80      real_777/40) &  ~ real_$greatereq(real_111/20, real_49/4) &  ~
% 20.68/3.80    real_$greatereq(real_111/70, real_12321/400) &  ~ real_$greatereq(real_111/70,
% 20.68/3.80      real_111/20) &  ~ real_$greatereq(real_111/70, real_777/40) &  ~
% 20.68/3.80    real_$greatereq(real_111/70, real_41/20) &  ~ real_$greatereq(real_111/70,
% 20.68/3.80      real_49/4) &  ~ real_$greatereq(real_111/70, real_7/2) &  ~
% 20.68/3.80    real_$greatereq(real_777/40, real_12321/400) &  ~ real_$greatereq(real_41/20,
% 20.68/3.80      real_12321/400) &  ~ real_$greatereq(real_41/20, real_111/20) &  ~
% 20.68/3.80    real_$greatereq(real_41/20, real_777/40) &  ~ real_$greatereq(real_41/20,
% 20.68/3.80      real_49/4) &  ~ real_$greatereq(real_41/20, real_7/2) &  ~
% 20.68/3.80    real_$greatereq(real_-181/20, real_12321/400) &  ~
% 20.68/3.80    real_$greatereq(real_-181/20, real_70/111) &  ~ real_$greatereq(real_-181/20,
% 20.68/3.80      real_-20/111) &  ~ real_$greatereq(real_-181/20, real_-41/20) &  ~
% 20.68/3.80    real_$greatereq(real_-181/20, real_111/20) &  ~ real_$greatereq(real_-181/20,
% 20.68/3.80      real_111/70) &  ~ real_$greatereq(real_-181/20, real_777/40) &  ~
% 20.68/3.80    real_$greatereq(real_-181/20, real_41/20) &  ~ real_$greatereq(real_-181/20,
% 20.68/3.80      real_1) &  ~ real_$greatereq(real_-181/20, real_-2/7) &  ~
% 20.68/3.80    real_$greatereq(real_-181/20, real_49/4) &  ~ real_$greatereq(real_-181/20,
% 20.68/3.80      real_-7) &  ~ real_$greatereq(real_-181/20, real_7/2) &  ~
% 20.68/3.80    real_$greatereq(real_-181/20, real_-111/20) &  ~ real_$greatereq(real_-181/20,
% 20.68/3.80      real_-7/2) &  ~ real_$greatereq(real_-181/20, real_0) &  ~
% 20.68/3.80    real_$greatereq(real_1, real_12321/400) &  ~ real_$greatereq(real_1,
% 20.68/3.80      real_111/20) &  ~ real_$greatereq(real_1, real_111/70) &  ~
% 20.68/3.80    real_$greatereq(real_1, real_777/40) &  ~ real_$greatereq(real_1, real_41/20)
% 20.68/3.80    &  ~ real_$greatereq(real_1, real_49/4) &  ~ real_$greatereq(real_1, real_7/2)
% 20.68/3.80    &  ~ real_$greatereq(real_-2/7, real_12321/400) &  ~
% 20.68/3.80    real_$greatereq(real_-2/7, real_70/111) &  ~ real_$greatereq(real_-2/7,
% 20.68/3.80      real_-20/111) &  ~ real_$greatereq(real_-2/7, real_111/20) &  ~
% 20.68/3.80    real_$greatereq(real_-2/7, real_111/70) &  ~ real_$greatereq(real_-2/7,
% 20.68/3.80      real_777/40) &  ~ real_$greatereq(real_-2/7, real_41/20) &  ~
% 20.68/3.80    real_$greatereq(real_-2/7, real_1) &  ~ real_$greatereq(real_-2/7, real_49/4)
% 20.68/3.80    &  ~ real_$greatereq(real_-2/7, real_7/2) &  ~ real_$greatereq(real_-2/7,
% 20.68/3.80      real_0) &  ~ real_$greatereq(real_49/4, real_12321/400) &  ~
% 20.68/3.80    real_$greatereq(real_49/4, real_777/40) &  ~ real_$greatereq(real_-7,
% 20.68/3.80      real_12321/400) &  ~ real_$greatereq(real_-7, real_70/111) &  ~
% 20.68/3.80    real_$greatereq(real_-7, real_-20/111) &  ~ real_$greatereq(real_-7,
% 20.68/3.80      real_-41/20) &  ~ real_$greatereq(real_-7, real_111/20) &  ~
% 20.68/3.80    real_$greatereq(real_-7, real_111/70) &  ~ real_$greatereq(real_-7,
% 20.68/3.80      real_777/40) &  ~ real_$greatereq(real_-7, real_41/20) &  ~
% 20.68/3.80    real_$greatereq(real_-7, real_1) &  ~ real_$greatereq(real_-7, real_-2/7) &  ~
% 20.68/3.80    real_$greatereq(real_-7, real_49/4) &  ~ real_$greatereq(real_-7, real_7/2) & 
% 20.68/3.80    ~ real_$greatereq(real_-7, real_-111/20) &  ~ real_$greatereq(real_-7,
% 20.68/3.80      real_-7/2) &  ~ real_$greatereq(real_-7, real_0) &  ~
% 20.68/3.80    real_$greatereq(real_7/2, real_12321/400) &  ~ real_$greatereq(real_7/2,
% 20.68/3.80      real_111/20) &  ~ real_$greatereq(real_7/2, real_777/40) &  ~
% 20.68/3.80    real_$greatereq(real_7/2, real_49/4) &  ~ real_$greatereq(real_-111/20,
% 20.68/3.80      real_12321/400) &  ~ real_$greatereq(real_-111/20, real_70/111) &  ~
% 20.68/3.80    real_$greatereq(real_-111/20, real_-20/111) &  ~ real_$greatereq(real_-111/20,
% 20.68/3.80      real_-41/20) &  ~ real_$greatereq(real_-111/20, real_111/20) &  ~
% 20.68/3.80    real_$greatereq(real_-111/20, real_111/70) &  ~ real_$greatereq(real_-111/20,
% 20.68/3.80      real_777/40) &  ~ real_$greatereq(real_-111/20, real_41/20) &  ~
% 20.68/3.80    real_$greatereq(real_-111/20, real_1) &  ~ real_$greatereq(real_-111/20,
% 20.68/3.80      real_-2/7) &  ~ real_$greatereq(real_-111/20, real_49/4) &  ~
% 20.68/3.80    real_$greatereq(real_-111/20, real_7/2) &  ~ real_$greatereq(real_-111/20,
% 20.68/3.80      real_-7/2) &  ~ real_$greatereq(real_-111/20, real_0) &  ~
% 20.68/3.80    real_$greatereq(real_-7/2, real_12321/400) &  ~ real_$greatereq(real_-7/2,
% 20.68/3.80      real_70/111) &  ~ real_$greatereq(real_-7/2, real_-20/111) &  ~
% 20.68/3.80    real_$greatereq(real_-7/2, real_-41/20) &  ~ real_$greatereq(real_-7/2,
% 20.68/3.80      real_111/20) &  ~ real_$greatereq(real_-7/2, real_111/70) &  ~
% 20.68/3.80    real_$greatereq(real_-7/2, real_777/40) &  ~ real_$greatereq(real_-7/2,
% 20.68/3.80      real_41/20) &  ~ real_$greatereq(real_-7/2, real_1) &  ~
% 20.68/3.80    real_$greatereq(real_-7/2, real_-2/7) &  ~ real_$greatereq(real_-7/2,
% 20.68/3.80      real_49/4) &  ~ real_$greatereq(real_-7/2, real_7/2) &  ~
% 20.68/3.80    real_$greatereq(real_-7/2, real_0) &  ~ real_$greatereq(real_0,
% 20.68/3.80      real_12321/400) &  ~ real_$greatereq(real_0, real_70/111) &  ~
% 20.68/3.80    real_$greatereq(real_0, real_111/20) &  ~ real_$greatereq(real_0, real_111/70)
% 20.68/3.80    &  ~ real_$greatereq(real_0, real_777/40) &  ~ real_$greatereq(real_0,
% 20.68/3.80      real_41/20) &  ~ real_$greatereq(real_0, real_1) &  ~
% 20.68/3.80    real_$greatereq(real_0, real_49/4) &  ~ real_$greatereq(real_0, real_7/2) &  ~
% 20.68/3.80    real_$greater(real_very_small, real_very_large) &  ~
% 20.68/3.80    real_$greater(real_12321/400, real_12321/400) &  ~ real_$greater(real_-111/10,
% 20.68/3.80      real_12321/400) &  ~ real_$greater(real_-111/10, real_-111/10) &  ~
% 20.68/3.80    real_$greater(real_-111/10, real_70/111) &  ~ real_$greater(real_-111/10,
% 20.68/3.80      real_-20/111) &  ~ real_$greater(real_-111/10, real_-41/20) &  ~
% 20.68/3.80    real_$greater(real_-111/10, real_111/20) &  ~ real_$greater(real_-111/10,
% 20.68/3.80      real_111/70) &  ~ real_$greater(real_-111/10, real_777/40) &  ~
% 20.68/3.80    real_$greater(real_-111/10, real_41/20) &  ~ real_$greater(real_-111/10,
% 20.68/3.80      real_-181/20) &  ~ real_$greater(real_-111/10, real_1) &  ~
% 20.68/3.80    real_$greater(real_-111/10, real_-2/7) &  ~ real_$greater(real_-111/10,
% 20.68/3.80      real_49/4) &  ~ real_$greater(real_-111/10, real_-7) &  ~
% 20.68/3.80    real_$greater(real_-111/10, real_7/2) &  ~ real_$greater(real_-111/10,
% 20.68/3.80      real_-111/20) &  ~ real_$greater(real_-111/10, real_-7/2) &  ~
% 20.68/3.80    real_$greater(real_-111/10, real_0) &  ~ real_$greater(real_70/111,
% 20.68/3.80      real_12321/400) &  ~ real_$greater(real_70/111, real_70/111) &  ~
% 20.68/3.80    real_$greater(real_70/111, real_111/20) &  ~ real_$greater(real_70/111,
% 20.68/3.80      real_111/70) &  ~ real_$greater(real_70/111, real_777/40) &  ~
% 20.68/3.80    real_$greater(real_70/111, real_41/20) &  ~ real_$greater(real_70/111, real_1)
% 20.68/3.80    &  ~ real_$greater(real_70/111, real_49/4) &  ~ real_$greater(real_70/111,
% 20.68/3.80      real_7/2) &  ~ real_$greater(real_-20/111, real_12321/400) &  ~
% 20.68/3.80    real_$greater(real_-20/111, real_70/111) &  ~ real_$greater(real_-20/111,
% 20.68/3.80      real_-20/111) &  ~ real_$greater(real_-20/111, real_111/20) &  ~
% 20.68/3.80    real_$greater(real_-20/111, real_111/70) &  ~ real_$greater(real_-20/111,
% 20.68/3.80      real_777/40) &  ~ real_$greater(real_-20/111, real_41/20) &  ~
% 20.68/3.80    real_$greater(real_-20/111, real_1) &  ~ real_$greater(real_-20/111,
% 20.68/3.80      real_49/4) &  ~ real_$greater(real_-20/111, real_7/2) &  ~
% 20.68/3.80    real_$greater(real_-20/111, real_0) &  ~ real_$greater(real_-41/20,
% 20.68/3.80      real_12321/400) &  ~ real_$greater(real_-41/20, real_70/111) &  ~
% 20.68/3.80    real_$greater(real_-41/20, real_-20/111) &  ~ real_$greater(real_-41/20,
% 20.68/3.80      real_-41/20) &  ~ real_$greater(real_-41/20, real_111/20) &  ~
% 20.68/3.80    real_$greater(real_-41/20, real_111/70) &  ~ real_$greater(real_-41/20,
% 20.68/3.80      real_777/40) &  ~ real_$greater(real_-41/20, real_41/20) &  ~
% 20.68/3.80    real_$greater(real_-41/20, real_1) &  ~ real_$greater(real_-41/20, real_-2/7)
% 20.68/3.80    &  ~ real_$greater(real_-41/20, real_49/4) &  ~ real_$greater(real_-41/20,
% 20.68/3.80      real_7/2) &  ~ real_$greater(real_-41/20, real_0) &  ~
% 20.68/3.80    real_$greater(real_111/20, real_12321/400) &  ~ real_$greater(real_111/20,
% 20.68/3.80      real_111/20) &  ~ real_$greater(real_111/20, real_777/40) &  ~
% 20.68/3.80    real_$greater(real_111/20, real_49/4) &  ~ real_$greater(real_111/70,
% 20.68/3.80      real_12321/400) &  ~ real_$greater(real_111/70, real_111/20) &  ~
% 20.68/3.80    real_$greater(real_111/70, real_111/70) &  ~ real_$greater(real_111/70,
% 20.68/3.80      real_777/40) &  ~ real_$greater(real_111/70, real_41/20) &  ~
% 20.68/3.80    real_$greater(real_111/70, real_49/4) &  ~ real_$greater(real_111/70,
% 20.68/3.80      real_7/2) &  ~ real_$greater(real_777/40, real_12321/400) &  ~
% 20.68/3.80    real_$greater(real_777/40, real_777/40) &  ~ real_$greater(real_41/20,
% 20.68/3.80      real_12321/400) &  ~ real_$greater(real_41/20, real_111/20) &  ~
% 20.68/3.80    real_$greater(real_41/20, real_777/40) &  ~ real_$greater(real_41/20,
% 20.68/3.80      real_41/20) &  ~ real_$greater(real_41/20, real_49/4) &  ~
% 20.68/3.80    real_$greater(real_41/20, real_7/2) &  ~ real_$greater(real_-181/20,
% 20.68/3.80      real_12321/400) &  ~ real_$greater(real_-181/20, real_70/111) &  ~
% 20.68/3.80    real_$greater(real_-181/20, real_-20/111) &  ~ real_$greater(real_-181/20,
% 20.68/3.80      real_-41/20) &  ~ real_$greater(real_-181/20, real_111/20) &  ~
% 20.68/3.80    real_$greater(real_-181/20, real_111/70) &  ~ real_$greater(real_-181/20,
% 20.68/3.80      real_777/40) &  ~ real_$greater(real_-181/20, real_41/20) &  ~
% 20.68/3.80    real_$greater(real_-181/20, real_-181/20) &  ~ real_$greater(real_-181/20,
% 20.68/3.80      real_1) &  ~ real_$greater(real_-181/20, real_-2/7) &  ~
% 20.68/3.80    real_$greater(real_-181/20, real_49/4) &  ~ real_$greater(real_-181/20,
% 20.68/3.80      real_-7) &  ~ real_$greater(real_-181/20, real_7/2) &  ~
% 20.68/3.80    real_$greater(real_-181/20, real_-111/20) &  ~ real_$greater(real_-181/20,
% 20.68/3.80      real_-7/2) &  ~ real_$greater(real_-181/20, real_0) &  ~
% 20.68/3.80    real_$greater(real_1, real_12321/400) &  ~ real_$greater(real_1, real_111/20)
% 20.68/3.80    &  ~ real_$greater(real_1, real_111/70) &  ~ real_$greater(real_1,
% 20.68/3.80      real_777/40) &  ~ real_$greater(real_1, real_41/20) &  ~
% 20.68/3.80    real_$greater(real_1, real_1) &  ~ real_$greater(real_1, real_49/4) &  ~
% 20.68/3.80    real_$greater(real_1, real_7/2) &  ~ real_$greater(real_-2/7, real_12321/400)
% 20.68/3.80    &  ~ real_$greater(real_-2/7, real_70/111) &  ~ real_$greater(real_-2/7,
% 20.68/3.80      real_-20/111) &  ~ real_$greater(real_-2/7, real_111/20) &  ~
% 20.68/3.80    real_$greater(real_-2/7, real_111/70) &  ~ real_$greater(real_-2/7,
% 20.68/3.80      real_777/40) &  ~ real_$greater(real_-2/7, real_41/20) &  ~
% 20.68/3.80    real_$greater(real_-2/7, real_1) &  ~ real_$greater(real_-2/7, real_-2/7) &  ~
% 20.68/3.80    real_$greater(real_-2/7, real_49/4) &  ~ real_$greater(real_-2/7, real_7/2) & 
% 20.68/3.80    ~ real_$greater(real_-2/7, real_0) &  ~ real_$greater(real_49/4,
% 20.68/3.80      real_12321/400) &  ~ real_$greater(real_49/4, real_777/40) &  ~
% 20.68/3.80    real_$greater(real_49/4, real_49/4) &  ~ real_$greater(real_-7,
% 20.68/3.80      real_12321/400) &  ~ real_$greater(real_-7, real_70/111) &  ~
% 20.68/3.80    real_$greater(real_-7, real_-20/111) &  ~ real_$greater(real_-7, real_-41/20)
% 20.68/3.80    &  ~ real_$greater(real_-7, real_111/20) &  ~ real_$greater(real_-7,
% 20.68/3.80      real_111/70) &  ~ real_$greater(real_-7, real_777/40) &  ~
% 20.68/3.80    real_$greater(real_-7, real_41/20) &  ~ real_$greater(real_-7, real_1) &  ~
% 20.68/3.80    real_$greater(real_-7, real_-2/7) &  ~ real_$greater(real_-7, real_49/4) &  ~
% 20.68/3.80    real_$greater(real_-7, real_-7) &  ~ real_$greater(real_-7, real_7/2) &  ~
% 20.68/3.80    real_$greater(real_-7, real_-111/20) &  ~ real_$greater(real_-7, real_-7/2) & 
% 20.68/3.80    ~ real_$greater(real_-7, real_0) &  ~ real_$greater(real_7/2, real_12321/400)
% 20.68/3.80    &  ~ real_$greater(real_7/2, real_111/20) &  ~ real_$greater(real_7/2,
% 20.68/3.80      real_777/40) &  ~ real_$greater(real_7/2, real_49/4) &  ~
% 20.68/3.80    real_$greater(real_7/2, real_7/2) &  ~ real_$greater(real_-111/20,
% 20.68/3.80      real_12321/400) &  ~ real_$greater(real_-111/20, real_70/111) &  ~
% 20.68/3.80    real_$greater(real_-111/20, real_-20/111) &  ~ real_$greater(real_-111/20,
% 20.68/3.80      real_-41/20) &  ~ real_$greater(real_-111/20, real_111/20) &  ~
% 20.68/3.80    real_$greater(real_-111/20, real_111/70) &  ~ real_$greater(real_-111/20,
% 20.68/3.80      real_777/40) &  ~ real_$greater(real_-111/20, real_41/20) &  ~
% 20.68/3.80    real_$greater(real_-111/20, real_1) &  ~ real_$greater(real_-111/20,
% 20.68/3.80      real_-2/7) &  ~ real_$greater(real_-111/20, real_49/4) &  ~
% 20.68/3.80    real_$greater(real_-111/20, real_7/2) &  ~ real_$greater(real_-111/20,
% 20.68/3.80      real_-111/20) &  ~ real_$greater(real_-111/20, real_-7/2) &  ~
% 20.68/3.80    real_$greater(real_-111/20, real_0) &  ~ real_$greater(real_-7/2,
% 20.68/3.80      real_12321/400) &  ~ real_$greater(real_-7/2, real_70/111) &  ~
% 20.68/3.80    real_$greater(real_-7/2, real_-20/111) &  ~ real_$greater(real_-7/2,
% 20.68/3.80      real_-41/20) &  ~ real_$greater(real_-7/2, real_111/20) &  ~
% 20.68/3.80    real_$greater(real_-7/2, real_111/70) &  ~ real_$greater(real_-7/2,
% 20.68/3.80      real_777/40) &  ~ real_$greater(real_-7/2, real_41/20) &  ~
% 20.68/3.80    real_$greater(real_-7/2, real_1) &  ~ real_$greater(real_-7/2, real_-2/7) &  ~
% 20.68/3.80    real_$greater(real_-7/2, real_49/4) &  ~ real_$greater(real_-7/2, real_7/2) & 
% 20.68/3.80    ~ real_$greater(real_-7/2, real_-7/2) &  ~ real_$greater(real_-7/2, real_0) & 
% 20.68/3.80    ~ real_$greater(real_0, real_12321/400) &  ~ real_$greater(real_0,
% 20.68/3.80      real_70/111) &  ~ real_$greater(real_0, real_111/20) &  ~
% 20.68/3.80    real_$greater(real_0, real_111/70) &  ~ real_$greater(real_0, real_777/40) & 
% 20.68/3.80    ~ real_$greater(real_0, real_41/20) &  ~ real_$greater(real_0, real_1) &  ~
% 20.68/3.81    real_$greater(real_0, real_49/4) &  ~ real_$greater(real_0, real_7/2) &  ~
% 20.68/3.81    real_$greater(real_0, real_0) &  ~ real_$lesseq(real_12321/400, real_-111/10)
% 20.68/3.81    &  ~ real_$lesseq(real_12321/400, real_70/111) &  ~
% 20.68/3.81    real_$lesseq(real_12321/400, real_-20/111) &  ~ real_$lesseq(real_12321/400,
% 20.68/3.81      real_-41/20) &  ~ real_$lesseq(real_12321/400, real_111/20) &  ~
% 20.68/3.81    real_$lesseq(real_12321/400, real_111/70) &  ~ real_$lesseq(real_12321/400,
% 20.68/3.81      real_777/40) &  ~ real_$lesseq(real_12321/400, real_41/20) &  ~
% 20.68/3.81    real_$lesseq(real_12321/400, real_-181/20) &  ~ real_$lesseq(real_12321/400,
% 20.68/3.81      real_1) &  ~ real_$lesseq(real_12321/400, real_-2/7) &  ~
% 20.68/3.81    real_$lesseq(real_12321/400, real_49/4) &  ~ real_$lesseq(real_12321/400,
% 20.68/3.81      real_-7) &  ~ real_$lesseq(real_12321/400, real_7/2) &  ~
% 20.68/3.81    real_$lesseq(real_12321/400, real_-111/20) &  ~ real_$lesseq(real_12321/400,
% 20.68/3.81      real_-7/2) &  ~ real_$lesseq(real_12321/400, real_0) &  ~
% 20.68/3.81    real_$lesseq(real_70/111, real_-111/10) &  ~ real_$lesseq(real_70/111,
% 20.68/3.81      real_-20/111) &  ~ real_$lesseq(real_70/111, real_-41/20) &  ~
% 20.68/3.81    real_$lesseq(real_70/111, real_-181/20) &  ~ real_$lesseq(real_70/111,
% 20.68/3.81      real_-2/7) &  ~ real_$lesseq(real_70/111, real_-7) &  ~
% 20.68/3.81    real_$lesseq(real_70/111, real_-111/20) &  ~ real_$lesseq(real_70/111,
% 20.68/3.81      real_-7/2) &  ~ real_$lesseq(real_70/111, real_0) &  ~
% 20.68/3.81    real_$lesseq(real_-20/111, real_-111/10) &  ~ real_$lesseq(real_-20/111,
% 20.68/3.81      real_-41/20) &  ~ real_$lesseq(real_-20/111, real_-181/20) &  ~
% 20.68/3.81    real_$lesseq(real_-20/111, real_-2/7) &  ~ real_$lesseq(real_-20/111, real_-7)
% 20.68/3.81    &  ~ real_$lesseq(real_-20/111, real_-111/20) &  ~ real_$lesseq(real_-20/111,
% 20.68/3.81      real_-7/2) &  ~ real_$lesseq(real_-41/20, real_-111/10) &  ~
% 20.68/3.81    real_$lesseq(real_-41/20, real_-181/20) &  ~ real_$lesseq(real_-41/20,
% 20.68/3.81      real_-7) &  ~ real_$lesseq(real_-41/20, real_-111/20) &  ~
% 20.68/3.81    real_$lesseq(real_-41/20, real_-7/2) &  ~ real_$lesseq(real_111/20,
% 20.68/3.81      real_-111/10) &  ~ real_$lesseq(real_111/20, real_70/111) &  ~
% 20.68/3.81    real_$lesseq(real_111/20, real_-20/111) &  ~ real_$lesseq(real_111/20,
% 20.68/3.81      real_-41/20) &  ~ real_$lesseq(real_111/20, real_111/70) &  ~
% 20.68/3.81    real_$lesseq(real_111/20, real_41/20) &  ~ real_$lesseq(real_111/20,
% 20.68/3.81      real_-181/20) &  ~ real_$lesseq(real_111/20, real_1) &  ~
% 20.68/3.81    real_$lesseq(real_111/20, real_-2/7) &  ~ real_$lesseq(real_111/20, real_-7) &
% 20.68/3.81     ~ real_$lesseq(real_111/20, real_7/2) &  ~ real_$lesseq(real_111/20,
% 20.68/3.81      real_-111/20) &  ~ real_$lesseq(real_111/20, real_-7/2) &  ~
% 20.68/3.81    real_$lesseq(real_111/20, real_0) &  ~ real_$lesseq(real_111/70, real_-111/10)
% 20.68/3.81    &  ~ real_$lesseq(real_111/70, real_70/111) &  ~ real_$lesseq(real_111/70,
% 20.68/3.81      real_-20/111) &  ~ real_$lesseq(real_111/70, real_-41/20) &  ~
% 20.68/3.81    real_$lesseq(real_111/70, real_-181/20) &  ~ real_$lesseq(real_111/70, real_1)
% 20.68/3.81    &  ~ real_$lesseq(real_111/70, real_-2/7) &  ~ real_$lesseq(real_111/70,
% 20.68/3.81      real_-7) &  ~ real_$lesseq(real_111/70, real_-111/20) &  ~
% 20.68/3.81    real_$lesseq(real_111/70, real_-7/2) &  ~ real_$lesseq(real_111/70, real_0) & 
% 20.68/3.81    ~ real_$lesseq(real_777/40, real_-111/10) &  ~ real_$lesseq(real_777/40,
% 20.68/3.81      real_70/111) &  ~ real_$lesseq(real_777/40, real_-20/111) &  ~
% 20.68/3.81    real_$lesseq(real_777/40, real_-41/20) &  ~ real_$lesseq(real_777/40,
% 20.68/3.81      real_111/20) &  ~ real_$lesseq(real_777/40, real_111/70) &  ~
% 20.68/3.81    real_$lesseq(real_777/40, real_41/20) &  ~ real_$lesseq(real_777/40,
% 20.68/3.81      real_-181/20) &  ~ real_$lesseq(real_777/40, real_1) &  ~
% 20.68/3.81    real_$lesseq(real_777/40, real_-2/7) &  ~ real_$lesseq(real_777/40, real_49/4)
% 20.68/3.81    &  ~ real_$lesseq(real_777/40, real_-7) &  ~ real_$lesseq(real_777/40,
% 20.68/3.81      real_7/2) &  ~ real_$lesseq(real_777/40, real_-111/20) &  ~
% 20.68/3.81    real_$lesseq(real_777/40, real_-7/2) &  ~ real_$lesseq(real_777/40, real_0) & 
% 20.68/3.81    ~ real_$lesseq(real_41/20, real_-111/10) &  ~ real_$lesseq(real_41/20,
% 20.68/3.81      real_70/111) &  ~ real_$lesseq(real_41/20, real_-20/111) &  ~
% 20.68/3.81    real_$lesseq(real_41/20, real_-41/20) &  ~ real_$lesseq(real_41/20,
% 20.68/3.81      real_111/70) &  ~ real_$lesseq(real_41/20, real_-181/20) &  ~
% 20.68/3.81    real_$lesseq(real_41/20, real_1) &  ~ real_$lesseq(real_41/20, real_-2/7) &  ~
% 20.68/3.81    real_$lesseq(real_41/20, real_-7) &  ~ real_$lesseq(real_41/20, real_-111/20)
% 20.68/3.81    &  ~ real_$lesseq(real_41/20, real_-7/2) &  ~ real_$lesseq(real_41/20, real_0)
% 20.68/3.81    &  ~ real_$lesseq(real_-181/20, real_-111/10) &  ~ real_$lesseq(real_1,
% 20.68/3.81      real_-111/10) &  ~ real_$lesseq(real_1, real_70/111) &  ~
% 20.68/3.81    real_$lesseq(real_1, real_-20/111) &  ~ real_$lesseq(real_1, real_-41/20) &  ~
% 20.68/3.81    real_$lesseq(real_1, real_-181/20) &  ~ real_$lesseq(real_1, real_-2/7) &  ~
% 20.68/3.81    real_$lesseq(real_1, real_-7) &  ~ real_$lesseq(real_1, real_-111/20) &  ~
% 20.68/3.81    real_$lesseq(real_1, real_-7/2) &  ~ real_$lesseq(real_1, real_0) &  ~
% 20.68/3.81    real_$lesseq(real_-2/7, real_-111/10) &  ~ real_$lesseq(real_-2/7,
% 20.68/3.81      real_-41/20) &  ~ real_$lesseq(real_-2/7, real_-181/20) &  ~
% 20.68/3.81    real_$lesseq(real_-2/7, real_-7) &  ~ real_$lesseq(real_-2/7, real_-111/20) & 
% 20.68/3.81    ~ real_$lesseq(real_-2/7, real_-7/2) &  ~ real_$lesseq(real_49/4,
% 20.68/3.81      real_-111/10) &  ~ real_$lesseq(real_49/4, real_70/111) &  ~
% 20.68/3.81    real_$lesseq(real_49/4, real_-20/111) &  ~ real_$lesseq(real_49/4,
% 20.68/3.81      real_-41/20) &  ~ real_$lesseq(real_49/4, real_111/20) &  ~
% 20.68/3.81    real_$lesseq(real_49/4, real_111/70) &  ~ real_$lesseq(real_49/4, real_41/20)
% 20.68/3.81    &  ~ real_$lesseq(real_49/4, real_-181/20) &  ~ real_$lesseq(real_49/4,
% 20.68/3.81      real_1) &  ~ real_$lesseq(real_49/4, real_-2/7) &  ~ real_$lesseq(real_49/4,
% 20.68/3.81      real_-7) &  ~ real_$lesseq(real_49/4, real_7/2) &  ~ real_$lesseq(real_49/4,
% 20.68/3.81      real_-111/20) &  ~ real_$lesseq(real_49/4, real_-7/2) &  ~
% 20.68/3.81    real_$lesseq(real_49/4, real_0) &  ~ real_$lesseq(real_-7, real_-111/10) &  ~
% 20.68/3.81    real_$lesseq(real_-7, real_-181/20) &  ~ real_$lesseq(real_7/2, real_-111/10)
% 20.68/3.81    &  ~ real_$lesseq(real_7/2, real_70/111) &  ~ real_$lesseq(real_7/2,
% 20.68/3.81      real_-20/111) &  ~ real_$lesseq(real_7/2, real_-41/20) &  ~
% 20.68/3.81    real_$lesseq(real_7/2, real_111/70) &  ~ real_$lesseq(real_7/2, real_41/20) & 
% 20.68/3.81    ~ real_$lesseq(real_7/2, real_-181/20) &  ~ real_$lesseq(real_7/2, real_1) & 
% 20.68/3.81    ~ real_$lesseq(real_7/2, real_-2/7) &  ~ real_$lesseq(real_7/2, real_-7) &  ~
% 20.68/3.81    real_$lesseq(real_7/2, real_-111/20) &  ~ real_$lesseq(real_7/2, real_-7/2) & 
% 20.68/3.81    ~ real_$lesseq(real_7/2, real_0) &  ~ real_$lesseq(real_-111/20, real_-111/10)
% 20.68/3.81    &  ~ real_$lesseq(real_-111/20, real_-181/20) &  ~ real_$lesseq(real_-111/20,
% 20.68/3.81      real_-7) &  ~ real_$lesseq(real_-7/2, real_-111/10) &  ~
% 20.68/3.81    real_$lesseq(real_-7/2, real_-181/20) &  ~ real_$lesseq(real_-7/2, real_-7) & 
% 20.68/3.81    ~ real_$lesseq(real_-7/2, real_-111/20) &  ~ real_$lesseq(real_0,
% 20.68/3.81      real_-111/10) &  ~ real_$lesseq(real_0, real_-20/111) &  ~
% 20.68/3.81    real_$lesseq(real_0, real_-41/20) &  ~ real_$lesseq(real_0, real_-181/20) &  ~
% 20.68/3.81    real_$lesseq(real_0, real_-2/7) &  ~ real_$lesseq(real_0, real_-7) &  ~
% 20.68/3.81    real_$lesseq(real_0, real_-111/20) &  ~ real_$lesseq(real_0, real_-7/2) &  ~
% 20.68/3.81    real_$less(real_12321/400, real_12321/400) &  ~ real_$less(real_12321/400,
% 20.68/3.81      real_-111/10) &  ~ real_$less(real_12321/400, real_70/111) &  ~
% 20.68/3.81    real_$less(real_12321/400, real_-20/111) &  ~ real_$less(real_12321/400,
% 20.68/3.81      real_-41/20) &  ~ real_$less(real_12321/400, real_111/20) &  ~
% 20.68/3.81    real_$less(real_12321/400, real_111/70) &  ~ real_$less(real_12321/400,
% 20.68/3.81      real_777/40) &  ~ real_$less(real_12321/400, real_41/20) &  ~
% 20.68/3.81    real_$less(real_12321/400, real_-181/20) &  ~ real_$less(real_12321/400,
% 20.68/3.81      real_1) &  ~ real_$less(real_12321/400, real_-2/7) &  ~
% 20.68/3.81    real_$less(real_12321/400, real_49/4) &  ~ real_$less(real_12321/400, real_-7)
% 20.68/3.81    &  ~ real_$less(real_12321/400, real_7/2) &  ~ real_$less(real_12321/400,
% 20.68/3.81      real_-111/20) &  ~ real_$less(real_12321/400, real_-7/2) &  ~
% 20.68/3.81    real_$less(real_12321/400, real_0) &  ~ real_$less(real_-111/10, real_-111/10)
% 20.68/3.81    &  ~ real_$less(real_70/111, real_-111/10) &  ~ real_$less(real_70/111,
% 20.68/3.81      real_70/111) &  ~ real_$less(real_70/111, real_-20/111) &  ~
% 20.68/3.81    real_$less(real_70/111, real_-41/20) &  ~ real_$less(real_70/111,
% 20.68/3.81      real_-181/20) &  ~ real_$less(real_70/111, real_-2/7) &  ~
% 20.68/3.81    real_$less(real_70/111, real_-7) &  ~ real_$less(real_70/111, real_-111/20) & 
% 20.68/3.81    ~ real_$less(real_70/111, real_-7/2) &  ~ real_$less(real_70/111, real_0) &  ~
% 20.68/3.81    real_$less(real_-20/111, real_-111/10) &  ~ real_$less(real_-20/111,
% 20.68/3.81      real_-20/111) &  ~ real_$less(real_-20/111, real_-41/20) &  ~
% 20.68/3.81    real_$less(real_-20/111, real_-181/20) &  ~ real_$less(real_-20/111,
% 20.68/3.81      real_-2/7) &  ~ real_$less(real_-20/111, real_-7) &  ~
% 20.68/3.81    real_$less(real_-20/111, real_-111/20) &  ~ real_$less(real_-20/111,
% 20.68/3.81      real_-7/2) &  ~ real_$less(real_-41/20, real_-111/10) &  ~
% 20.68/3.81    real_$less(real_-41/20, real_-41/20) &  ~ real_$less(real_-41/20,
% 20.68/3.81      real_-181/20) &  ~ real_$less(real_-41/20, real_-7) &  ~
% 20.68/3.81    real_$less(real_-41/20, real_-111/20) &  ~ real_$less(real_-41/20, real_-7/2)
% 20.68/3.81    &  ~ real_$less(real_111/20, real_-111/10) &  ~ real_$less(real_111/20,
% 20.68/3.81      real_70/111) &  ~ real_$less(real_111/20, real_-20/111) &  ~
% 20.68/3.81    real_$less(real_111/20, real_-41/20) &  ~ real_$less(real_111/20, real_111/20)
% 20.68/3.81    &  ~ real_$less(real_111/20, real_111/70) &  ~ real_$less(real_111/20,
% 20.68/3.81      real_41/20) &  ~ real_$less(real_111/20, real_-181/20) &  ~
% 20.68/3.81    real_$less(real_111/20, real_1) &  ~ real_$less(real_111/20, real_-2/7) &  ~
% 20.68/3.81    real_$less(real_111/20, real_-7) &  ~ real_$less(real_111/20, real_7/2) &  ~
% 20.68/3.81    real_$less(real_111/20, real_-111/20) &  ~ real_$less(real_111/20, real_-7/2)
% 20.68/3.81    &  ~ real_$less(real_111/20, real_0) &  ~ real_$less(real_111/70,
% 20.68/3.81      real_-111/10) &  ~ real_$less(real_111/70, real_70/111) &  ~
% 20.68/3.81    real_$less(real_111/70, real_-20/111) &  ~ real_$less(real_111/70,
% 20.68/3.81      real_-41/20) &  ~ real_$less(real_111/70, real_111/70) &  ~
% 20.68/3.81    real_$less(real_111/70, real_-181/20) &  ~ real_$less(real_111/70, real_1) & 
% 20.68/3.81    ~ real_$less(real_111/70, real_-2/7) &  ~ real_$less(real_111/70, real_-7) & 
% 20.68/3.81    ~ real_$less(real_111/70, real_-111/20) &  ~ real_$less(real_111/70,
% 20.68/3.81      real_-7/2) &  ~ real_$less(real_111/70, real_0) &  ~ real_$less(real_777/40,
% 20.68/3.81      real_-111/10) &  ~ real_$less(real_777/40, real_70/111) &  ~
% 20.68/3.81    real_$less(real_777/40, real_-20/111) &  ~ real_$less(real_777/40,
% 20.68/3.81      real_-41/20) &  ~ real_$less(real_777/40, real_111/20) &  ~
% 20.68/3.81    real_$less(real_777/40, real_111/70) &  ~ real_$less(real_777/40, real_777/40)
% 20.68/3.81    &  ~ real_$less(real_777/40, real_41/20) &  ~ real_$less(real_777/40,
% 20.68/3.81      real_-181/20) &  ~ real_$less(real_777/40, real_1) &  ~
% 20.68/3.81    real_$less(real_777/40, real_-2/7) &  ~ real_$less(real_777/40, real_49/4) & 
% 20.68/3.81    ~ real_$less(real_777/40, real_-7) &  ~ real_$less(real_777/40, real_7/2) &  ~
% 20.68/3.81    real_$less(real_777/40, real_-111/20) &  ~ real_$less(real_777/40, real_-7/2)
% 20.68/3.81    &  ~ real_$less(real_777/40, real_0) &  ~ real_$less(real_41/20, real_-111/10)
% 20.68/3.81    &  ~ real_$less(real_41/20, real_70/111) &  ~ real_$less(real_41/20,
% 20.68/3.81      real_-20/111) &  ~ real_$less(real_41/20, real_-41/20) &  ~
% 20.68/3.81    real_$less(real_41/20, real_111/70) &  ~ real_$less(real_41/20, real_41/20) & 
% 20.68/3.81    ~ real_$less(real_41/20, real_-181/20) &  ~ real_$less(real_41/20, real_1) & 
% 20.68/3.81    ~ real_$less(real_41/20, real_-2/7) &  ~ real_$less(real_41/20, real_-7) &  ~
% 20.68/3.81    real_$less(real_41/20, real_-111/20) &  ~ real_$less(real_41/20, real_-7/2) & 
% 20.68/3.81    ~ real_$less(real_41/20, real_0) &  ~ real_$less(real_-181/20, real_-111/10) &
% 20.68/3.81     ~ real_$less(real_-181/20, real_-181/20) &  ~ real_$less(real_1,
% 20.68/3.81      real_-111/10) &  ~ real_$less(real_1, real_70/111) &  ~ real_$less(real_1,
% 20.68/3.81      real_-20/111) &  ~ real_$less(real_1, real_-41/20) &  ~ real_$less(real_1,
% 20.68/3.81      real_-181/20) &  ~ real_$less(real_1, real_1) &  ~ real_$less(real_1,
% 20.68/3.81      real_-2/7) &  ~ real_$less(real_1, real_-7) &  ~ real_$less(real_1,
% 20.68/3.81      real_-111/20) &  ~ real_$less(real_1, real_-7/2) &  ~ real_$less(real_1,
% 20.68/3.81      real_0) &  ~ real_$less(real_-2/7, real_-111/10) &  ~ real_$less(real_-2/7,
% 20.68/3.81      real_-41/20) &  ~ real_$less(real_-2/7, real_-181/20) &  ~
% 20.68/3.81    real_$less(real_-2/7, real_-2/7) &  ~ real_$less(real_-2/7, real_-7) &  ~
% 20.68/3.81    real_$less(real_-2/7, real_-111/20) &  ~ real_$less(real_-2/7, real_-7/2) &  ~
% 20.68/3.81    real_$less(real_49/4, real_-111/10) &  ~ real_$less(real_49/4, real_70/111) & 
% 20.68/3.81    ~ real_$less(real_49/4, real_-20/111) &  ~ real_$less(real_49/4, real_-41/20)
% 20.68/3.81    &  ~ real_$less(real_49/4, real_111/20) &  ~ real_$less(real_49/4,
% 20.68/3.81      real_111/70) &  ~ real_$less(real_49/4, real_41/20) &  ~
% 20.68/3.81    real_$less(real_49/4, real_-181/20) &  ~ real_$less(real_49/4, real_1) &  ~
% 20.68/3.81    real_$less(real_49/4, real_-2/7) &  ~ real_$less(real_49/4, real_49/4) &  ~
% 20.68/3.81    real_$less(real_49/4, real_-7) &  ~ real_$less(real_49/4, real_7/2) &  ~
% 20.68/3.81    real_$less(real_49/4, real_-111/20) &  ~ real_$less(real_49/4, real_-7/2) &  ~
% 20.68/3.81    real_$less(real_49/4, real_0) &  ~ real_$less(real_-7, real_-111/10) &  ~
% 20.68/3.81    real_$less(real_-7, real_-181/20) &  ~ real_$less(real_-7, real_-7) &  ~
% 20.68/3.81    real_$less(real_7/2, real_-111/10) &  ~ real_$less(real_7/2, real_70/111) &  ~
% 20.68/3.81    real_$less(real_7/2, real_-20/111) &  ~ real_$less(real_7/2, real_-41/20) &  ~
% 20.68/3.81    real_$less(real_7/2, real_111/70) &  ~ real_$less(real_7/2, real_41/20) &  ~
% 20.68/3.81    real_$less(real_7/2, real_-181/20) &  ~ real_$less(real_7/2, real_1) &  ~
% 20.68/3.81    real_$less(real_7/2, real_-2/7) &  ~ real_$less(real_7/2, real_-7) &  ~
% 20.68/3.81    real_$less(real_7/2, real_7/2) &  ~ real_$less(real_7/2, real_-111/20) &  ~
% 20.68/3.81    real_$less(real_7/2, real_-7/2) &  ~ real_$less(real_7/2, real_0) &  ~
% 20.68/3.81    real_$less(real_-111/20, real_-111/10) &  ~ real_$less(real_-111/20,
% 20.68/3.81      real_-181/20) &  ~ real_$less(real_-111/20, real_-7) &  ~
% 20.68/3.81    real_$less(real_-111/20, real_-111/20) &  ~ real_$less(real_-7/2,
% 20.68/3.81      real_-111/10) &  ~ real_$less(real_-7/2, real_-181/20) &  ~
% 20.68/3.81    real_$less(real_-7/2, real_-7) &  ~ real_$less(real_-7/2, real_-111/20) &  ~
% 20.68/3.81    real_$less(real_-7/2, real_-7/2) &  ~ real_$less(real_0, real_-111/10) &  ~
% 20.68/3.81    real_$less(real_0, real_-20/111) &  ~ real_$less(real_0, real_-41/20) &  ~
% 20.68/3.81    real_$less(real_0, real_-181/20) &  ~ real_$less(real_0, real_-2/7) &  ~
% 20.68/3.81    real_$less(real_0, real_-7) &  ~ real_$less(real_0, real_-111/20) &  ~
% 20.68/3.81    real_$less(real_0, real_-7/2) &  ~ real_$less(real_0, real_0) &  ! [v0: $real]
% 20.68/3.81    :  ! [v1: $real] :  ! [v2: $real] :  ! [v3: $real] :  ! [v4: $real] : ( ~
% 20.68/3.81      (real_$sum(v3, v0) = v4) |  ~ (real_$sum(v2, v1) = v3) |  ? [v5: $real] :
% 20.68/3.81      (real_$sum(v2, v5) = v4 & real_$sum(v1, v0) = v5)) &  ! [v0: $real] :  !
% 20.68/3.81    [v1: $real] :  ! [v2: $real] :  ! [v3: $real] :  ! [v4: $real] : ( ~
% 20.68/3.81      (real_$sum(v2, v3) = v4) |  ~ (real_$sum(v1, v0) = v3) |  ? [v5: $real] :
% 20.68/3.81      (real_$sum(v5, v0) = v4 & real_$sum(v2, v1) = v5)) &  ! [v0: $real] :  !
% 20.68/3.81    [v1: $real] :  ! [v2: $real] :  ! [v3: $real] : ( ~ (real_$uminus(v0) = v2) | 
% 20.68/3.81      ~ (real_$sum(v1, v2) = v3) | real_$difference(v1, v0) = v3) &  ! [v0: $real]
% 20.68/3.81    :  ! [v1: $real] :  ! [v2: $real] : (v0 = real_0 |  ~ (real_$product(v1, v0) =
% 20.68/3.81        v2) | real_$quotient(v2, v0) = v1) &  ! [v0: $real] :  ! [v1: $real] :  !
% 20.68/3.81    [v2: $real] : ( ~ (real_$product(v1, v0) = v2) | real_$product(v0, v1) = v2) &
% 20.68/3.81     ! [v0: $real] :  ! [v1: $real] :  ! [v2: $real] : ( ~ (real_$product(v0, v1)
% 20.68/3.81        = v2) | real_$product(v1, v0) = v2) &  ! [v0: $real] :  ! [v1: $real] :  !
% 20.68/3.81    [v2: $real] : ( ~ (real_$difference(v1, v0) = v2) |  ? [v3: $real] :
% 20.68/3.81      (real_$uminus(v0) = v3 & real_$sum(v1, v3) = v2)) &  ! [v0: $real] :  ! [v1:
% 20.68/3.81      $real] :  ! [v2: $real] : ( ~ (real_$sum(v1, v0) = v2) | real_$sum(v0, v1) =
% 20.68/3.81      v2) &  ! [v0: $real] :  ! [v1: $real] :  ! [v2: $real] : ( ~ (real_$sum(v0,
% 20.68/3.81          v1) = v2) | real_$sum(v1, v0) = v2) &  ! [v0: $real] :  ! [v1: $real] : 
% 20.68/3.81    ! [v2: $real] : ( ~ real_$lesseq(v2, v1) |  ~ real_$lesseq(v1, v0) |
% 20.68/3.81      real_$lesseq(v2, v0)) &  ! [v0: $real] :  ! [v1: $real] :  ! [v2: $real] : (
% 20.68/3.81      ~ real_$lesseq(v2, v1) |  ~ real_$less(v1, v0) | real_$less(v2, v0)) &  !
% 20.68/3.81    [v0: $real] :  ! [v1: $real] :  ! [v2: $real] : ( ~ real_$lesseq(v1, v0) |  ~
% 20.68/3.81      real_$less(v2, v1) | real_$less(v2, v0)) &  ! [v0: $real] :  ! [v1: $real] :
% 20.68/3.81    (v1 = v0 |  ~ (real_$sum(v0, real_0) = v1)) &  ! [v0: $real] :  ! [v1: $real]
% 20.68/3.81    : (v1 = v0 |  ~ real_$lesseq(v1, v0) | real_$less(v1, v0)) &  ! [v0: $real] : 
% 20.68/3.81    ! [v1: $real] : ( ~ (real_$uminus(v0) = v1) | real_$uminus(v1) = v0) &  ! [v0:
% 20.68/3.81      $real] :  ! [v1: $real] : ( ~ (real_$uminus(v0) = v1) | real_$sum(v0, v1) =
% 20.68/3.81      real_0) &  ! [v0: $real] :  ! [v1: $real] : ( ~ real_$greatereq(v0, v1) |
% 20.68/3.81      real_$lesseq(v1, v0)) &  ! [v0: $real] :  ! [v1: $real] : ( ~
% 20.68/3.81      real_$greater(v0, v1) | real_$less(v1, v0)) &  ! [v0: $real] :  ! [v1:
% 20.68/3.81      $real] : ( ~ real_$lesseq(v1, v0) | real_$greatereq(v0, v1)) &  ! [v0:
% 20.68/3.81      $real] :  ! [v1: $real] : ( ~ real_$less(v1, v0) | real_$greater(v0, v1)) & 
% 20.68/3.81    ! [v0: $real] :  ! [v1: $real] : ( ~ real_$less(v1, v0) | real_$lesseq(v1,
% 20.68/3.81        v0)) &  ! [v0: $real] : (v0 = real_0 |  ~ (real_$uminus(v0) = v0)) &  ?
% 20.68/3.81    [v0: $real] : real_$lesseq(v0, v0)
% 20.68/3.81  
% 20.68/3.81  Those formulas are unsatisfiable:
% 20.68/3.81  ---------------------------------
% 20.68/3.81  
% 20.68/3.81  Begin of proof
% 20.68/3.81  | 
% 20.68/3.81  | ALPHA: (input) implies:
% 20.68/3.81  |   (1)  real_$sum(real_-41/20, real_-7/2) = real_-111/20
% 20.68/3.81  | 
% 20.68/3.81  | GROUND_INST: instantiating (real_sum_problem_20) with real_-41/20, simplifying
% 20.68/3.81  |              with (1) gives:
% 20.68/3.81  |   (2)  $false
% 20.68/3.82  | 
% 20.68/3.82  | CLOSE: (2) is inconsistent.
% 20.68/3.82  | 
% 20.68/3.82  End of proof
% 20.68/3.82  % SZS output end Proof for theBenchmark
% 20.68/3.82  
% 20.68/3.82  3181ms
%------------------------------------------------------------------------------