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Princess---230619.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : ARI270_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 : n029.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 17:47:31 EDT 2023

% Result   : Theorem 13.41s 2.45s
% Output   : Proof 20.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ARI270_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue Aug 29 18:50:12 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.61  ________       _____
% 0.19/0.61  ___  __ \_________(_)________________________________
% 0.19/0.61  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.19/0.61  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.19/0.61  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.19/0.61  
% 0.19/0.61  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.61  (2023-06-19)
% 0.19/0.61  
% 0.19/0.61  (c) Philipp Rümmer, 2009-2023
% 0.19/0.61  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.61                Amanda Stjerna.
% 0.19/0.61  Free software under BSD-3-Clause.
% 0.19/0.61  
% 0.19/0.61  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.61  
% 0.19/0.61  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.64/0.62  Running up to 7 provers in parallel.
% 0.73/0.63  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.73/0.63  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.73/0.63  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.73/0.63  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.73/0.63  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.73/0.63  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.73/0.63  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.50/0.88  Prover 3: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.50/0.88  Prover 5: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.50/0.88  Prover 0: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.50/0.88  Prover 1: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.50/0.88  Prover 2: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.50/0.88  Prover 6: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.50/0.88  Prover 4: Warning: Problem contains rationals, using incomplete axiomatisation
% 2.02/0.99  Prover 4: Preprocessing ...
% 2.02/0.99  Prover 1: Preprocessing ...
% 2.49/1.05  Prover 6: Preprocessing ...
% 2.49/1.06  Prover 0: Preprocessing ...
% 2.90/1.09  Prover 5: Preprocessing ...
% 2.90/1.09  Prover 3: Preprocessing ...
% 2.90/1.09  Prover 2: Preprocessing ...
% 5.83/1.49  Prover 1: Constructing countermodel ...
% 6.18/1.51  Prover 6: Proving ...
% 6.50/1.60  Prover 4: Constructing countermodel ...
% 6.50/1.61  Prover 0: Proving ...
% 8.57/1.84  Prover 1: gave up
% 8.79/1.85  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 8.79/1.85  Prover 7: Warning: Problem contains rationals, using incomplete axiomatisation
% 8.79/1.90  Prover 7: Preprocessing ...
% 9.85/2.02  Prover 3: Constructing countermodel ...
% 10.54/2.07  Prover 2: Proving ...
% 11.13/2.19  Prover 5: Proving ...
% 11.79/2.28  Prover 7: Warning: ignoring some quantifiers
% 12.29/2.30  Prover 7: Constructing countermodel ...
% 13.41/2.45  Prover 0: proved (1824ms)
% 13.41/2.45  
% 13.41/2.45  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.41/2.45  
% 13.41/2.45  Prover 6: stopped
% 13.41/2.45  Prover 5: stopped
% 13.41/2.46  Prover 3: stopped
% 13.41/2.46  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 13.41/2.46  Prover 8: Warning: Problem contains rationals, using incomplete axiomatisation
% 13.41/2.46  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 13.41/2.46  Prover 2: stopped
% 13.41/2.46  Prover 10: Warning: Problem contains rationals, using incomplete axiomatisation
% 13.41/2.46  Prover 8: Preprocessing ...
% 13.41/2.46  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 13.41/2.46  Prover 11: Warning: Problem contains rationals, using incomplete axiomatisation
% 13.41/2.47  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 13.41/2.47  Prover 16: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 13.41/2.47  Prover 13: Warning: Problem contains rationals, using incomplete axiomatisation
% 13.41/2.47  Prover 16: Warning: Problem contains rationals, using incomplete axiomatisation
% 13.41/2.48  Prover 13: Preprocessing ...
% 13.41/2.49  Prover 10: Preprocessing ...
% 13.41/2.50  Prover 11: Preprocessing ...
% 13.41/2.51  Prover 16: Preprocessing ...
% 14.06/2.53  Prover 8: Warning: ignoring some quantifiers
% 14.06/2.54  Prover 13: Warning: ignoring some quantifiers
% 14.06/2.55  Prover 13: Constructing countermodel ...
% 14.06/2.56  Prover 8: Constructing countermodel ...
% 15.34/2.68  Prover 8: gave up
% 15.34/2.69  Prover 13: gave up
% 15.34/2.69  Prover 19: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 15.34/2.69  Prover 19: Warning: Problem contains rationals, using incomplete axiomatisation
% 15.59/2.71  Prover 19: Preprocessing ...
% 15.74/2.82  Prover 16: Warning: ignoring some quantifiers
% 15.74/2.83  Prover 10: Warning: ignoring some quantifiers
% 16.47/2.83  Prover 10: Constructing countermodel ...
% 16.47/2.84  Prover 16: Constructing countermodel ...
% 16.47/2.89  Prover 11: Constructing countermodel ...
% 17.97/3.06  Prover 10: Found proof (size 3)
% 17.97/3.06  Prover 10: proved (607ms)
% 17.97/3.07  Prover 11: stopped
% 17.97/3.07  Prover 16: stopped
% 17.97/3.07  Prover 4: stopped
% 18.58/3.14  Prover 7: Found proof (size 3)
% 18.58/3.14  Prover 7: proved (1291ms)
% 19.37/3.31  Prover 19: Warning: ignoring some quantifiers
% 19.37/3.32  Prover 19: Constructing countermodel ...
% 19.51/3.33  Prover 19: stopped
% 19.51/3.33  
% 19.51/3.33  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.51/3.33  
% 19.51/3.34  % SZS output start Proof for theBenchmark
% 19.51/3.34  Assumptions after simplification:
% 19.51/3.34  ---------------------------------
% 19.51/3.34  
% 19.51/3.34    (rat_sum_problem_25)
% 19.51/3.37     ! [v0: $rat] :  ~ (rat_$sum(v0, rat_-5/2) = rat_7/2)
% 19.51/3.37  
% 19.51/3.37    (input)
% 19.94/3.49     ~ (rat_very_large = rat_very_small) &  ~ (rat_very_large = rat_25/4) &  ~
% 19.94/3.49    (rat_very_large = rat_-5) &  ~ (rat_very_large = rat_-7/5) &  ~
% 19.94/3.49    (rat_very_large = rat_-2/5) &  ~ (rat_very_large = rat_-6) &  ~
% 19.94/3.49    (rat_very_large = rat_5/2) &  ~ (rat_very_large = rat_-5/7) &  ~
% 19.94/3.49    (rat_very_large = rat_-35/4) &  ~ (rat_very_large = rat_6) &  ~
% 19.94/3.49    (rat_very_large = rat_1) &  ~ (rat_very_large = rat_2/7) &  ~ (rat_very_large
% 19.94/3.49      = rat_49/4) &  ~ (rat_very_large = rat_7) &  ~ (rat_very_large = rat_-7/2) &
% 19.94/3.49     ~ (rat_very_large = rat_7/2) &  ~ (rat_very_large = rat_-5/2) &  ~
% 19.94/3.49    (rat_very_large = rat_0) &  ~ (rat_very_small = rat_25/4) &  ~ (rat_very_small
% 19.94/3.49      = rat_-5) &  ~ (rat_very_small = rat_-7/5) &  ~ (rat_very_small = rat_-2/5)
% 19.94/3.49    &  ~ (rat_very_small = rat_-6) &  ~ (rat_very_small = rat_5/2) &  ~
% 19.94/3.49    (rat_very_small = rat_-5/7) &  ~ (rat_very_small = rat_-35/4) &  ~
% 19.94/3.49    (rat_very_small = rat_6) &  ~ (rat_very_small = rat_1) &  ~ (rat_very_small =
% 19.94/3.49      rat_2/7) &  ~ (rat_very_small = rat_49/4) &  ~ (rat_very_small = rat_7) &  ~
% 19.94/3.49    (rat_very_small = rat_-7/2) &  ~ (rat_very_small = rat_7/2) &  ~
% 19.94/3.49    (rat_very_small = rat_-5/2) &  ~ (rat_very_small = rat_0) &  ~ (rat_25/4 =
% 19.94/3.49      rat_-5) &  ~ (rat_25/4 = rat_-7/5) &  ~ (rat_25/4 = rat_-2/5) &  ~ (rat_25/4
% 19.94/3.49      = rat_-6) &  ~ (rat_25/4 = rat_5/2) &  ~ (rat_25/4 = rat_-5/7) &  ~
% 19.94/3.49    (rat_25/4 = rat_-35/4) &  ~ (rat_25/4 = rat_6) &  ~ (rat_25/4 = rat_1) &  ~
% 19.94/3.49    (rat_25/4 = rat_2/7) &  ~ (rat_25/4 = rat_49/4) &  ~ (rat_25/4 = rat_7) &  ~
% 19.94/3.49    (rat_25/4 = rat_-7/2) &  ~ (rat_25/4 = rat_7/2) &  ~ (rat_25/4 = rat_-5/2) & 
% 19.94/3.49    ~ (rat_25/4 = rat_0) &  ~ (rat_-5 = rat_-7/5) &  ~ (rat_-5 = rat_-2/5) &  ~
% 19.94/3.49    (rat_-5 = rat_-6) &  ~ (rat_-5 = rat_5/2) &  ~ (rat_-5 = rat_-5/7) &  ~
% 19.94/3.49    (rat_-5 = rat_-35/4) &  ~ (rat_-5 = rat_6) &  ~ (rat_-5 = rat_1) &  ~ (rat_-5
% 19.94/3.49      = rat_2/7) &  ~ (rat_-5 = rat_49/4) &  ~ (rat_-5 = rat_7) &  ~ (rat_-5 =
% 19.94/3.49      rat_-7/2) &  ~ (rat_-5 = rat_7/2) &  ~ (rat_-5 = rat_-5/2) &  ~ (rat_-5 =
% 19.94/3.49      rat_0) &  ~ (rat_-7/5 = rat_-2/5) &  ~ (rat_-7/5 = rat_-6) &  ~ (rat_-7/5 =
% 19.94/3.49      rat_5/2) &  ~ (rat_-7/5 = rat_-5/7) &  ~ (rat_-7/5 = rat_-35/4) &  ~
% 19.94/3.49    (rat_-7/5 = rat_6) &  ~ (rat_-7/5 = rat_1) &  ~ (rat_-7/5 = rat_2/7) &  ~
% 19.94/3.49    (rat_-7/5 = rat_49/4) &  ~ (rat_-7/5 = rat_7) &  ~ (rat_-7/5 = rat_-7/2) &  ~
% 19.94/3.49    (rat_-7/5 = rat_7/2) &  ~ (rat_-7/5 = rat_-5/2) &  ~ (rat_-7/5 = rat_0) &  ~
% 19.94/3.49    (rat_-2/5 = rat_-6) &  ~ (rat_-2/5 = rat_5/2) &  ~ (rat_-2/5 = rat_-5/7) &  ~
% 19.94/3.49    (rat_-2/5 = rat_-35/4) &  ~ (rat_-2/5 = rat_6) &  ~ (rat_-2/5 = rat_1) &  ~
% 19.94/3.49    (rat_-2/5 = rat_2/7) &  ~ (rat_-2/5 = rat_49/4) &  ~ (rat_-2/5 = rat_7) &  ~
% 19.94/3.49    (rat_-2/5 = rat_-7/2) &  ~ (rat_-2/5 = rat_7/2) &  ~ (rat_-2/5 = rat_-5/2) & 
% 19.94/3.49    ~ (rat_-2/5 = rat_0) &  ~ (rat_-6 = rat_5/2) &  ~ (rat_-6 = rat_-5/7) &  ~
% 19.94/3.49    (rat_-6 = rat_-35/4) &  ~ (rat_-6 = rat_6) &  ~ (rat_-6 = rat_1) &  ~ (rat_-6
% 19.94/3.49      = rat_2/7) &  ~ (rat_-6 = rat_49/4) &  ~ (rat_-6 = rat_7) &  ~ (rat_-6 =
% 19.94/3.49      rat_-7/2) &  ~ (rat_-6 = rat_7/2) &  ~ (rat_-6 = rat_-5/2) &  ~ (rat_-6 =
% 19.94/3.49      rat_0) &  ~ (rat_5/2 = rat_-5/7) &  ~ (rat_5/2 = rat_-35/4) &  ~ (rat_5/2 =
% 19.94/3.49      rat_6) &  ~ (rat_5/2 = rat_1) &  ~ (rat_5/2 = rat_2/7) &  ~ (rat_5/2 =
% 19.94/3.49      rat_49/4) &  ~ (rat_5/2 = rat_7) &  ~ (rat_5/2 = rat_-7/2) &  ~ (rat_5/2 =
% 19.94/3.49      rat_7/2) &  ~ (rat_5/2 = rat_-5/2) &  ~ (rat_5/2 = rat_0) &  ~ (rat_-5/7 =
% 19.94/3.49      rat_-35/4) &  ~ (rat_-5/7 = rat_6) &  ~ (rat_-5/7 = rat_1) &  ~ (rat_-5/7 =
% 19.94/3.49      rat_2/7) &  ~ (rat_-5/7 = rat_49/4) &  ~ (rat_-5/7 = rat_7) &  ~ (rat_-5/7 =
% 19.94/3.49      rat_-7/2) &  ~ (rat_-5/7 = rat_7/2) &  ~ (rat_-5/7 = rat_-5/2) &  ~
% 19.94/3.49    (rat_-5/7 = rat_0) &  ~ (rat_-35/4 = rat_6) &  ~ (rat_-35/4 = rat_1) &  ~
% 19.94/3.49    (rat_-35/4 = rat_2/7) &  ~ (rat_-35/4 = rat_49/4) &  ~ (rat_-35/4 = rat_7) & 
% 19.94/3.49    ~ (rat_-35/4 = rat_-7/2) &  ~ (rat_-35/4 = rat_7/2) &  ~ (rat_-35/4 =
% 19.94/3.49      rat_-5/2) &  ~ (rat_-35/4 = rat_0) &  ~ (rat_6 = rat_1) &  ~ (rat_6 =
% 19.94/3.49      rat_2/7) &  ~ (rat_6 = rat_49/4) &  ~ (rat_6 = rat_7) &  ~ (rat_6 =
% 19.94/3.49      rat_-7/2) &  ~ (rat_6 = rat_7/2) &  ~ (rat_6 = rat_-5/2) &  ~ (rat_6 =
% 19.94/3.49      rat_0) &  ~ (rat_1 = rat_2/7) &  ~ (rat_1 = rat_49/4) &  ~ (rat_1 = rat_7) &
% 19.94/3.49     ~ (rat_1 = rat_-7/2) &  ~ (rat_1 = rat_7/2) &  ~ (rat_1 = rat_-5/2) &  ~
% 19.94/3.49    (rat_1 = rat_0) &  ~ (rat_2/7 = rat_49/4) &  ~ (rat_2/7 = rat_7) &  ~ (rat_2/7
% 19.94/3.49      = rat_-7/2) &  ~ (rat_2/7 = rat_7/2) &  ~ (rat_2/7 = rat_-5/2) &  ~ (rat_2/7
% 19.94/3.49      = rat_0) &  ~ (rat_49/4 = rat_7) &  ~ (rat_49/4 = rat_-7/2) &  ~ (rat_49/4 =
% 19.94/3.49      rat_7/2) &  ~ (rat_49/4 = rat_-5/2) &  ~ (rat_49/4 = rat_0) &  ~ (rat_7 =
% 19.94/3.49      rat_-7/2) &  ~ (rat_7 = rat_7/2) &  ~ (rat_7 = rat_-5/2) &  ~ (rat_7 =
% 19.94/3.49      rat_0) &  ~ (rat_-7/2 = rat_7/2) &  ~ (rat_-7/2 = rat_-5/2) &  ~ (rat_-7/2 =
% 19.94/3.49      rat_0) &  ~ (rat_7/2 = rat_-5/2) &  ~ (rat_7/2 = rat_0) &  ~ (rat_-5/2 =
% 19.94/3.49      rat_0) & rat_$floor(rat_25/4) = rat_6 & rat_$floor(rat_-5) = rat_-5 &
% 19.94/3.49    rat_$floor(rat_-6) = rat_-6 & rat_$floor(rat_6) = rat_6 & rat_$floor(rat_1) =
% 19.94/3.49    rat_1 & rat_$floor(rat_2/7) = rat_0 & rat_$floor(rat_7) = rat_7 &
% 19.94/3.49    rat_$floor(rat_0) = rat_0 & rat_$ceiling(rat_25/4) = rat_7 &
% 19.94/3.49    rat_$ceiling(rat_-5) = rat_-5 & rat_$ceiling(rat_-2/5) = rat_0 &
% 19.94/3.49    rat_$ceiling(rat_-6) = rat_-6 & rat_$ceiling(rat_-5/7) = rat_0 &
% 19.94/3.49    rat_$ceiling(rat_6) = rat_6 & rat_$ceiling(rat_1) = rat_1 &
% 19.94/3.49    rat_$ceiling(rat_2/7) = rat_1 & rat_$ceiling(rat_7) = rat_7 &
% 19.94/3.49    rat_$ceiling(rat_0) = rat_0 & rat_$truncate(rat_25/4) = rat_6 &
% 19.94/3.49    rat_$truncate(rat_-5) = rat_-5 & rat_$truncate(rat_-2/5) = rat_0 &
% 19.94/3.49    rat_$truncate(rat_-6) = rat_-6 & rat_$truncate(rat_-5/7) = rat_0 &
% 19.94/3.49    rat_$truncate(rat_6) = rat_6 & rat_$truncate(rat_1) = rat_1 &
% 19.94/3.49    rat_$truncate(rat_2/7) = rat_0 & rat_$truncate(rat_7) = rat_7 &
% 19.94/3.49    rat_$truncate(rat_0) = rat_0 & rat_$round(rat_25/4) = rat_6 &
% 19.94/3.49    rat_$round(rat_-5) = rat_-5 & rat_$round(rat_-2/5) = rat_0 &
% 19.94/3.49    rat_$round(rat_-6) = rat_-6 & rat_$round(rat_6) = rat_6 & rat_$round(rat_1) =
% 19.94/3.49    rat_1 & rat_$round(rat_2/7) = rat_0 & rat_$round(rat_7) = rat_7 &
% 19.94/3.49    rat_$round(rat_0) = rat_0 & rat_$to_int(rat_25/4) = 6 & rat_$to_int(rat_-5) =
% 19.94/3.49    -5 & rat_$to_int(rat_-7/5) = -2 & rat_$to_int(rat_-2/5) = -1 &
% 19.94/3.49    rat_$to_int(rat_-6) = -6 & rat_$to_int(rat_5/2) = 2 & rat_$to_int(rat_-5/7) =
% 19.94/3.49    -1 & rat_$to_int(rat_-35/4) = -9 & rat_$to_int(rat_6) = 6 & rat_$to_int(rat_1)
% 19.94/3.49    = 1 & rat_$to_int(rat_2/7) = 0 & rat_$to_int(rat_49/4) = 12 &
% 19.94/3.49    rat_$to_int(rat_7) = 7 & rat_$to_int(rat_-7/2) = -4 & rat_$to_int(rat_7/2) = 3
% 19.94/3.49    & rat_$to_int(rat_-5/2) = -3 & rat_$to_int(rat_0) = 0 & rat_$to_rat(rat_25/4)
% 19.94/3.49    = rat_25/4 & rat_$to_rat(rat_-5) = rat_-5 & rat_$to_rat(rat_-7/5) = rat_-7/5 &
% 19.94/3.49    rat_$to_rat(rat_-2/5) = rat_-2/5 & rat_$to_rat(rat_-6) = rat_-6 &
% 19.94/3.49    rat_$to_rat(rat_5/2) = rat_5/2 & rat_$to_rat(rat_-5/7) = rat_-5/7 &
% 19.94/3.49    rat_$to_rat(rat_-35/4) = rat_-35/4 & rat_$to_rat(rat_6) = rat_6 &
% 19.94/3.49    rat_$to_rat(rat_1) = rat_1 & rat_$to_rat(rat_2/7) = rat_2/7 &
% 19.94/3.49    rat_$to_rat(rat_49/4) = rat_49/4 & rat_$to_rat(rat_7) = rat_7 &
% 19.94/3.49    rat_$to_rat(rat_-7/2) = rat_-7/2 & rat_$to_rat(rat_7/2) = rat_7/2 &
% 19.94/3.49    rat_$to_rat(rat_-5/2) = rat_-5/2 & rat_$to_rat(rat_0) = rat_0 &
% 19.94/3.49    rat_$to_real(rat_25/4) = real_25/4 & rat_$to_real(rat_-5) = real_-5 &
% 19.94/3.49    rat_$to_real(rat_-7/5) = real_-7/5 & rat_$to_real(rat_-2/5) = real_-2/5 &
% 19.94/3.49    rat_$to_real(rat_-6) = real_-6 & rat_$to_real(rat_5/2) = real_5/2 &
% 19.94/3.49    rat_$to_real(rat_-5/7) = real_-5/7 & rat_$to_real(rat_-35/4) = real_-35/4 &
% 19.94/3.49    rat_$to_real(rat_6) = real_6 & rat_$to_real(rat_1) = real_1 &
% 19.94/3.49    rat_$to_real(rat_2/7) = real_2/7 & rat_$to_real(rat_49/4) = real_49/4 &
% 19.94/3.49    rat_$to_real(rat_7) = real_7 & rat_$to_real(rat_-7/2) = real_-7/2 &
% 19.94/3.49    rat_$to_real(rat_7/2) = real_7/2 & rat_$to_real(rat_-5/2) = real_-5/2 &
% 19.94/3.49    rat_$to_real(rat_0) = real_0 & int_$to_rat(7) = rat_7 & int_$to_rat(-6) =
% 19.94/3.49    rat_-6 & int_$to_rat(6) = rat_6 & int_$to_rat(-5) = rat_-5 & int_$to_rat(1) =
% 19.94/3.49    rat_1 & int_$to_rat(0) = rat_0 & rat_$quotient(rat_25/4, rat_25/4) = rat_1 &
% 19.94/3.49    rat_$quotient(rat_25/4, rat_5/2) = rat_5/2 & rat_$quotient(rat_25/4, rat_-5/7)
% 19.94/3.49    = rat_-35/4 & rat_$quotient(rat_25/4, rat_-35/4) = rat_-5/7 &
% 19.94/3.49    rat_$quotient(rat_25/4, rat_1) = rat_25/4 & rat_$quotient(rat_25/4, rat_-5/2)
% 19.94/3.49    = rat_-5/2 & rat_$quotient(rat_-5, rat_-5) = rat_1 & rat_$quotient(rat_-5,
% 19.94/3.49      rat_-5/7) = rat_7 & rat_$quotient(rat_-5, rat_1) = rat_-5 &
% 19.94/3.49    rat_$quotient(rat_-5, rat_7) = rat_-5/7 & rat_$quotient(rat_-7/5, rat_-7/5) =
% 19.94/3.49    rat_1 & rat_$quotient(rat_-7/5, rat_-2/5) = rat_7/2 & rat_$quotient(rat_-7/5,
% 19.94/3.49      rat_1) = rat_-7/5 & rat_$quotient(rat_-7/5, rat_7/2) = rat_-2/5 &
% 19.94/3.49    rat_$quotient(rat_-2/5, rat_-7/5) = rat_2/7 & rat_$quotient(rat_-2/5,
% 19.94/3.49      rat_-2/5) = rat_1 & rat_$quotient(rat_-2/5, rat_1) = rat_-2/5 &
% 19.94/3.49    rat_$quotient(rat_-2/5, rat_2/7) = rat_-7/5 & rat_$quotient(rat_-6, rat_-6) =
% 19.94/3.49    rat_1 & rat_$quotient(rat_-6, rat_1) = rat_-6 & rat_$quotient(rat_5/2,
% 19.94/3.49      rat_5/2) = rat_1 & rat_$quotient(rat_5/2, rat_-5/7) = rat_-7/2 &
% 19.94/3.49    rat_$quotient(rat_5/2, rat_1) = rat_5/2 & rat_$quotient(rat_5/2, rat_-7/2) =
% 19.94/3.49    rat_-5/7 & rat_$quotient(rat_-5/7, rat_-5/7) = rat_1 & rat_$quotient(rat_-5/7,
% 19.94/3.49      rat_1) = rat_-5/7 & rat_$quotient(rat_-5/7, rat_2/7) = rat_-5/2 &
% 19.94/3.49    rat_$quotient(rat_-5/7, rat_-5/2) = rat_2/7 & rat_$quotient(rat_-35/4,
% 19.94/3.49      rat_25/4) = rat_-7/5 & rat_$quotient(rat_-35/4, rat_-7/5) = rat_25/4 &
% 19.94/3.49    rat_$quotient(rat_-35/4, rat_5/2) = rat_-7/2 & rat_$quotient(rat_-35/4,
% 19.94/3.49      rat_-5/7) = rat_49/4 & rat_$quotient(rat_-35/4, rat_-35/4) = rat_1 &
% 19.94/3.49    rat_$quotient(rat_-35/4, rat_1) = rat_-35/4 & rat_$quotient(rat_-35/4,
% 19.94/3.49      rat_49/4) = rat_-5/7 & rat_$quotient(rat_-35/4, rat_-7/2) = rat_5/2 &
% 19.94/3.49    rat_$quotient(rat_-35/4, rat_7/2) = rat_-5/2 & rat_$quotient(rat_-35/4,
% 19.94/3.49      rat_-5/2) = rat_7/2 & rat_$quotient(rat_6, rat_6) = rat_1 &
% 19.94/3.49    rat_$quotient(rat_6, rat_1) = rat_6 & rat_$quotient(rat_1, rat_-7/5) =
% 19.94/3.49    rat_-5/7 & rat_$quotient(rat_1, rat_-2/5) = rat_-5/2 & rat_$quotient(rat_1,
% 19.94/3.49      rat_-5/7) = rat_-7/5 & rat_$quotient(rat_1, rat_1) = rat_1 &
% 19.94/3.49    rat_$quotient(rat_1, rat_2/7) = rat_7/2 & rat_$quotient(rat_1, rat_7/2) =
% 19.94/3.49    rat_2/7 & rat_$quotient(rat_1, rat_-5/2) = rat_-2/5 & rat_$quotient(rat_2/7,
% 19.94/3.49      rat_-2/5) = rat_-5/7 & rat_$quotient(rat_2/7, rat_-5/7) = rat_-2/5 &
% 19.94/3.49    rat_$quotient(rat_2/7, rat_1) = rat_2/7 & rat_$quotient(rat_2/7, rat_2/7) =
% 19.94/3.49    rat_1 & rat_$quotient(rat_49/4, rat_-7/5) = rat_-35/4 &
% 19.94/3.49    rat_$quotient(rat_49/4, rat_-35/4) = rat_-7/5 & rat_$quotient(rat_49/4, rat_1)
% 19.94/3.49    = rat_49/4 & rat_$quotient(rat_49/4, rat_49/4) = rat_1 &
% 19.94/3.49    rat_$quotient(rat_49/4, rat_-7/2) = rat_-7/2 & rat_$quotient(rat_49/4,
% 19.94/3.49      rat_7/2) = rat_7/2 & rat_$quotient(rat_7, rat_-5) = rat_-7/5 &
% 19.94/3.49    rat_$quotient(rat_7, rat_-7/5) = rat_-5 & rat_$quotient(rat_7, rat_1) = rat_7
% 19.94/3.49    & rat_$quotient(rat_7, rat_7) = rat_1 & rat_$quotient(rat_-7/2, rat_-7/5) =
% 19.94/3.49    rat_5/2 & rat_$quotient(rat_-7/2, rat_5/2) = rat_-7/5 &
% 19.94/3.49    rat_$quotient(rat_-7/2, rat_1) = rat_-7/2 & rat_$quotient(rat_-7/2, rat_-7/2)
% 19.94/3.49    = rat_1 & rat_$quotient(rat_7/2, rat_-7/5) = rat_-5/2 & rat_$quotient(rat_7/2,
% 19.94/3.49      rat_-2/5) = rat_-35/4 & rat_$quotient(rat_7/2, rat_-35/4) = rat_-2/5 &
% 19.94/3.49    rat_$quotient(rat_7/2, rat_1) = rat_7/2 & rat_$quotient(rat_7/2, rat_2/7) =
% 19.94/3.49    rat_49/4 & rat_$quotient(rat_7/2, rat_49/4) = rat_2/7 & rat_$quotient(rat_7/2,
% 19.94/3.49      rat_7/2) = rat_1 & rat_$quotient(rat_7/2, rat_-5/2) = rat_-7/5 &
% 19.94/3.49    rat_$quotient(rat_-5/2, rat_25/4) = rat_-2/5 & rat_$quotient(rat_-5/2,
% 19.94/3.49      rat_-2/5) = rat_25/4 & rat_$quotient(rat_-5/2, rat_-5/7) = rat_7/2 &
% 19.94/3.49    rat_$quotient(rat_-5/2, rat_-35/4) = rat_2/7 & rat_$quotient(rat_-5/2, rat_1)
% 19.94/3.49    = rat_-5/2 & rat_$quotient(rat_-5/2, rat_2/7) = rat_-35/4 &
% 19.94/3.49    rat_$quotient(rat_-5/2, rat_7/2) = rat_-5/7 & rat_$quotient(rat_-5/2,
% 19.94/3.49      rat_-5/2) = rat_1 & rat_$quotient(rat_0, rat_25/4) = rat_0 &
% 19.94/3.49    rat_$quotient(rat_0, rat_-5) = rat_0 & rat_$quotient(rat_0, rat_-7/5) = rat_0
% 19.94/3.49    & rat_$quotient(rat_0, rat_-2/5) = rat_0 & rat_$quotient(rat_0, rat_-6) =
% 19.94/3.50    rat_0 & rat_$quotient(rat_0, rat_5/2) = rat_0 & rat_$quotient(rat_0, rat_-5/7)
% 19.94/3.50    = rat_0 & rat_$quotient(rat_0, rat_-35/4) = rat_0 & rat_$quotient(rat_0,
% 19.94/3.50      rat_6) = rat_0 & rat_$quotient(rat_0, rat_1) = rat_0 & rat_$quotient(rat_0,
% 19.94/3.50      rat_2/7) = rat_0 & rat_$quotient(rat_0, rat_49/4) = rat_0 &
% 19.94/3.50    rat_$quotient(rat_0, rat_7) = rat_0 & rat_$quotient(rat_0, rat_-7/2) = rat_0 &
% 19.94/3.50    rat_$quotient(rat_0, rat_7/2) = rat_0 & rat_$quotient(rat_0, rat_-5/2) = rat_0
% 19.94/3.50    & rat_$product(rat_25/4, rat_-7/5) = rat_-35/4 & rat_$product(rat_25/4,
% 19.94/3.50      rat_-2/5) = rat_-5/2 & rat_$product(rat_25/4, rat_1) = rat_25/4 &
% 19.94/3.50    rat_$product(rat_25/4, rat_0) = rat_0 & rat_$product(rat_-5, rat_-7/5) = rat_7
% 19.94/3.50    & rat_$product(rat_-5, rat_1) = rat_-5 & rat_$product(rat_-5, rat_0) = rat_0 &
% 19.94/3.50    rat_$product(rat_-7/5, rat_25/4) = rat_-35/4 & rat_$product(rat_-7/5, rat_-5)
% 19.94/3.50    = rat_7 & rat_$product(rat_-7/5, rat_5/2) = rat_-7/2 & rat_$product(rat_-7/5,
% 19.94/3.50      rat_-5/7) = rat_1 & rat_$product(rat_-7/5, rat_-35/4) = rat_49/4 &
% 19.94/3.50    rat_$product(rat_-7/5, rat_1) = rat_-7/5 & rat_$product(rat_-7/5, rat_2/7) =
% 19.94/3.50    rat_-2/5 & rat_$product(rat_-7/5, rat_-5/2) = rat_7/2 & rat_$product(rat_-7/5,
% 19.94/3.50      rat_0) = rat_0 & rat_$product(rat_-2/5, rat_25/4) = rat_-5/2 &
% 19.94/3.50    rat_$product(rat_-2/5, rat_-5/7) = rat_2/7 & rat_$product(rat_-2/5, rat_-35/4)
% 19.94/3.50    = rat_7/2 & rat_$product(rat_-2/5, rat_1) = rat_-2/5 & rat_$product(rat_-2/5,
% 19.94/3.50      rat_7/2) = rat_-7/5 & rat_$product(rat_-2/5, rat_-5/2) = rat_1 &
% 19.94/3.50    rat_$product(rat_-2/5, rat_0) = rat_0 & rat_$product(rat_-6, rat_1) = rat_-6 &
% 19.94/3.50    rat_$product(rat_-6, rat_0) = rat_0 & rat_$product(rat_5/2, rat_-7/5) =
% 19.94/3.50    rat_-7/2 & rat_$product(rat_5/2, rat_5/2) = rat_25/4 & rat_$product(rat_5/2,
% 19.94/3.50      rat_1) = rat_5/2 & rat_$product(rat_5/2, rat_-7/2) = rat_-35/4 &
% 19.94/3.50    rat_$product(rat_5/2, rat_0) = rat_0 & rat_$product(rat_-5/7, rat_-7/5) =
% 19.94/3.50    rat_1 & rat_$product(rat_-5/7, rat_-2/5) = rat_2/7 & rat_$product(rat_-5/7,
% 19.94/3.50      rat_-35/4) = rat_25/4 & rat_$product(rat_-5/7, rat_1) = rat_-5/7 &
% 19.94/3.50    rat_$product(rat_-5/7, rat_49/4) = rat_-35/4 & rat_$product(rat_-5/7, rat_7) =
% 19.94/3.50    rat_-5 & rat_$product(rat_-5/7, rat_-7/2) = rat_5/2 & rat_$product(rat_-5/7,
% 19.94/3.50      rat_7/2) = rat_-5/2 & rat_$product(rat_-5/7, rat_0) = rat_0 &
% 19.94/3.50    rat_$product(rat_-35/4, rat_-7/5) = rat_49/4 & rat_$product(rat_-35/4,
% 19.94/3.50      rat_-2/5) = rat_7/2 & rat_$product(rat_-35/4, rat_-5/7) = rat_25/4 &
% 19.94/3.50    rat_$product(rat_-35/4, rat_1) = rat_-35/4 & rat_$product(rat_-35/4, rat_2/7)
% 19.94/3.50    = rat_-5/2 & rat_$product(rat_-35/4, rat_0) = rat_0 & rat_$product(rat_6,
% 19.94/3.50      rat_1) = rat_6 & rat_$product(rat_6, rat_0) = rat_0 & rat_$product(rat_1,
% 19.94/3.50      rat_25/4) = rat_25/4 & rat_$product(rat_1, rat_-5) = rat_-5 &
% 19.94/3.50    rat_$product(rat_1, rat_-7/5) = rat_-7/5 & rat_$product(rat_1, rat_-2/5) =
% 19.94/3.50    rat_-2/5 & rat_$product(rat_1, rat_-6) = rat_-6 & rat_$product(rat_1, rat_5/2)
% 19.94/3.50    = rat_5/2 & rat_$product(rat_1, rat_-5/7) = rat_-5/7 & rat_$product(rat_1,
% 19.94/3.50      rat_-35/4) = rat_-35/4 & rat_$product(rat_1, rat_6) = rat_6 &
% 19.94/3.50    rat_$product(rat_1, rat_1) = rat_1 & rat_$product(rat_1, rat_2/7) = rat_2/7 &
% 19.94/3.50    rat_$product(rat_1, rat_49/4) = rat_49/4 & rat_$product(rat_1, rat_7) = rat_7
% 19.94/3.50    & rat_$product(rat_1, rat_-7/2) = rat_-7/2 & rat_$product(rat_1, rat_7/2) =
% 19.94/3.50    rat_7/2 & rat_$product(rat_1, rat_-5/2) = rat_-5/2 & rat_$product(rat_1,
% 19.94/3.50      rat_0) = rat_0 & rat_$product(rat_2/7, rat_-7/5) = rat_-2/5 &
% 19.94/3.50    rat_$product(rat_2/7, rat_-35/4) = rat_-5/2 & rat_$product(rat_2/7, rat_1) =
% 19.94/3.50    rat_2/7 & rat_$product(rat_2/7, rat_49/4) = rat_7/2 & rat_$product(rat_2/7,
% 19.94/3.50      rat_7/2) = rat_1 & rat_$product(rat_2/7, rat_-5/2) = rat_-5/7 &
% 19.94/3.50    rat_$product(rat_2/7, rat_0) = rat_0 & rat_$product(rat_49/4, rat_-5/7) =
% 19.94/3.50    rat_-35/4 & rat_$product(rat_49/4, rat_1) = rat_49/4 & rat_$product(rat_49/4,
% 19.94/3.50      rat_2/7) = rat_7/2 & rat_$product(rat_49/4, rat_0) = rat_0 &
% 19.94/3.50    rat_$product(rat_7, rat_-5/7) = rat_-5 & rat_$product(rat_7, rat_1) = rat_7 &
% 19.94/3.50    rat_$product(rat_7, rat_0) = rat_0 & rat_$product(rat_-7/2, rat_5/2) =
% 19.94/3.50    rat_-35/4 & rat_$product(rat_-7/2, rat_-5/7) = rat_5/2 &
% 19.94/3.50    rat_$product(rat_-7/2, rat_1) = rat_-7/2 & rat_$product(rat_-7/2, rat_-7/2) =
% 19.94/3.50    rat_49/4 & rat_$product(rat_-7/2, rat_0) = rat_0 & rat_$product(rat_7/2,
% 19.94/3.50      rat_-2/5) = rat_-7/5 & rat_$product(rat_7/2, rat_-5/7) = rat_-5/2 &
% 19.94/3.50    rat_$product(rat_7/2, rat_1) = rat_7/2 & rat_$product(rat_7/2, rat_2/7) =
% 19.94/3.50    rat_1 & rat_$product(rat_7/2, rat_7/2) = rat_49/4 & rat_$product(rat_7/2,
% 19.94/3.50      rat_-5/2) = rat_-35/4 & rat_$product(rat_7/2, rat_0) = rat_0 &
% 19.94/3.50    rat_$product(rat_-5/2, rat_-7/5) = rat_7/2 & rat_$product(rat_-5/2, rat_-2/5)
% 19.94/3.50    = rat_1 & rat_$product(rat_-5/2, rat_1) = rat_-5/2 & rat_$product(rat_-5/2,
% 19.94/3.50      rat_2/7) = rat_-5/7 & rat_$product(rat_-5/2, rat_7/2) = rat_-35/4 &
% 19.94/3.50    rat_$product(rat_-5/2, rat_-5/2) = rat_25/4 & rat_$product(rat_-5/2, rat_0) =
% 19.94/3.50    rat_0 & rat_$product(rat_0, rat_25/4) = rat_0 & rat_$product(rat_0, rat_-5) =
% 19.94/3.50    rat_0 & rat_$product(rat_0, rat_-7/5) = rat_0 & rat_$product(rat_0, rat_-2/5)
% 19.94/3.50    = rat_0 & rat_$product(rat_0, rat_-6) = rat_0 & rat_$product(rat_0, rat_5/2) =
% 19.94/3.50    rat_0 & rat_$product(rat_0, rat_-5/7) = rat_0 & rat_$product(rat_0, rat_-35/4)
% 19.94/3.50    = rat_0 & rat_$product(rat_0, rat_6) = rat_0 & rat_$product(rat_0, rat_1) =
% 19.94/3.50    rat_0 & rat_$product(rat_0, rat_2/7) = rat_0 & rat_$product(rat_0, rat_49/4) =
% 19.94/3.50    rat_0 & rat_$product(rat_0, rat_7) = rat_0 & rat_$product(rat_0, rat_-7/2) =
% 19.94/3.50    rat_0 & rat_$product(rat_0, rat_7/2) = rat_0 & rat_$product(rat_0, rat_-5/2) =
% 19.94/3.50    rat_0 & rat_$product(rat_0, rat_0) = rat_0 & rat_$difference(rat_25/4,
% 19.94/3.50      rat_25/4) = rat_0 & rat_$difference(rat_25/4, rat_-6) = rat_49/4 &
% 19.94/3.50    rat_$difference(rat_25/4, rat_49/4) = rat_-6 & rat_$difference(rat_25/4,
% 19.94/3.50      rat_0) = rat_25/4 & rat_$difference(rat_-5, rat_-5) = rat_0 &
% 19.94/3.50    rat_$difference(rat_-5, rat_-6) = rat_1 & rat_$difference(rat_-5, rat_1) =
% 19.94/3.50    rat_-6 & rat_$difference(rat_-5, rat_-5/2) = rat_-5/2 &
% 19.94/3.50    rat_$difference(rat_-5, rat_0) = rat_-5 & rat_$difference(rat_-7/5, rat_-7/5)
% 19.94/3.50    = rat_0 & rat_$difference(rat_-7/5, rat_0) = rat_-7/5 &
% 19.94/3.50    rat_$difference(rat_-2/5, rat_-7/5) = rat_1 & rat_$difference(rat_-2/5,
% 19.94/3.50      rat_-2/5) = rat_0 & rat_$difference(rat_-2/5, rat_1) = rat_-7/5 &
% 19.94/3.50    rat_$difference(rat_-2/5, rat_0) = rat_-2/5 & rat_$difference(rat_-6, rat_-6)
% 19.94/3.50    = rat_0 & rat_$difference(rat_-6, rat_-7/2) = rat_-5/2 &
% 19.94/3.50    rat_$difference(rat_-6, rat_-5/2) = rat_-7/2 & rat_$difference(rat_-6, rat_0)
% 19.94/3.50    = rat_-6 & rat_$difference(rat_5/2, rat_5/2) = rat_0 &
% 19.94/3.50    rat_$difference(rat_5/2, rat_6) = rat_-7/2 & rat_$difference(rat_5/2,
% 19.94/3.50      rat_-7/2) = rat_6 & rat_$difference(rat_5/2, rat_0) = rat_5/2 &
% 19.94/3.50    rat_$difference(rat_-5/7, rat_-5/7) = rat_0 & rat_$difference(rat_-5/7, rat_0)
% 19.94/3.50    = rat_-5/7 & rat_$difference(rat_-35/4, rat_-35/4) = rat_0 &
% 19.94/3.50    rat_$difference(rat_-35/4, rat_0) = rat_-35/4 & rat_$difference(rat_6,
% 19.94/3.50      rat_5/2) = rat_7/2 & rat_$difference(rat_6, rat_6) = rat_0 &
% 19.94/3.50    rat_$difference(rat_6, rat_7/2) = rat_5/2 & rat_$difference(rat_6, rat_0) =
% 19.94/3.50    rat_6 & rat_$difference(rat_1, rat_-5) = rat_6 & rat_$difference(rat_1,
% 19.94/3.50      rat_-6) = rat_7 & rat_$difference(rat_1, rat_6) = rat_-5 &
% 19.94/3.50    rat_$difference(rat_1, rat_1) = rat_0 & rat_$difference(rat_1, rat_7) = rat_-6
% 19.94/3.50    & rat_$difference(rat_1, rat_7/2) = rat_-5/2 & rat_$difference(rat_1,
% 19.94/3.50      rat_-5/2) = rat_7/2 & rat_$difference(rat_1, rat_0) = rat_1 &
% 19.94/3.50    rat_$difference(rat_2/7, rat_-5/7) = rat_1 & rat_$difference(rat_2/7, rat_1) =
% 19.94/3.50    rat_-5/7 & rat_$difference(rat_2/7, rat_2/7) = rat_0 &
% 19.94/3.50    rat_$difference(rat_2/7, rat_0) = rat_2/7 & rat_$difference(rat_49/4,
% 19.94/3.50      rat_25/4) = rat_6 & rat_$difference(rat_49/4, rat_6) = rat_25/4 &
% 19.94/3.50    rat_$difference(rat_49/4, rat_49/4) = rat_0 & rat_$difference(rat_49/4, rat_0)
% 19.94/3.50    = rat_49/4 & rat_$difference(rat_7, rat_6) = rat_1 & rat_$difference(rat_7,
% 19.94/3.50      rat_1) = rat_6 & rat_$difference(rat_7, rat_7) = rat_0 &
% 19.94/3.50    rat_$difference(rat_7, rat_7/2) = rat_7/2 & rat_$difference(rat_7, rat_0) =
% 19.94/3.50    rat_7 & rat_$difference(rat_-7/2, rat_-6) = rat_5/2 &
% 19.94/3.50    rat_$difference(rat_-7/2, rat_5/2) = rat_-6 & rat_$difference(rat_-7/2,
% 19.94/3.50      rat_-7/2) = rat_0 & rat_$difference(rat_-7/2, rat_0) = rat_-7/2 &
% 19.94/3.50    rat_$difference(rat_7/2, rat_5/2) = rat_1 & rat_$difference(rat_7/2,
% 19.94/3.50      rat_-35/4) = rat_49/4 & rat_$difference(rat_7/2, rat_6) = rat_-5/2 &
% 19.94/3.50    rat_$difference(rat_7/2, rat_1) = rat_5/2 & rat_$difference(rat_7/2, rat_49/4)
% 19.94/3.50    = rat_-35/4 & rat_$difference(rat_7/2, rat_7) = rat_-7/2 &
% 19.94/3.50    rat_$difference(rat_7/2, rat_-7/2) = rat_7 & rat_$difference(rat_7/2, rat_7/2)
% 19.94/3.50    = rat_0 & rat_$difference(rat_7/2, rat_-5/2) = rat_6 &
% 19.94/3.50    rat_$difference(rat_7/2, rat_0) = rat_7/2 & rat_$difference(rat_-5/2,
% 19.94/3.50      rat_25/4) = rat_-35/4 & rat_$difference(rat_-5/2, rat_-5) = rat_5/2 &
% 19.94/3.50    rat_$difference(rat_-5/2, rat_-6) = rat_7/2 & rat_$difference(rat_-5/2,
% 19.94/3.50      rat_5/2) = rat_-5 & rat_$difference(rat_-5/2, rat_-35/4) = rat_25/4 &
% 19.94/3.50    rat_$difference(rat_-5/2, rat_1) = rat_-7/2 & rat_$difference(rat_-5/2,
% 19.94/3.50      rat_-7/2) = rat_1 & rat_$difference(rat_-5/2, rat_7/2) = rat_-6 &
% 19.94/3.50    rat_$difference(rat_-5/2, rat_-5/2) = rat_0 & rat_$difference(rat_-5/2, rat_0)
% 19.94/3.50    = rat_-5/2 & rat_$difference(rat_0, rat_-6) = rat_6 & rat_$difference(rat_0,
% 19.94/3.50      rat_5/2) = rat_-5/2 & rat_$difference(rat_0, rat_6) = rat_-6 &
% 19.94/3.50    rat_$difference(rat_0, rat_-7/2) = rat_7/2 & rat_$difference(rat_0, rat_7/2) =
% 19.94/3.50    rat_-7/2 & rat_$difference(rat_0, rat_-5/2) = rat_5/2 & rat_$difference(rat_0,
% 19.94/3.50      rat_0) = rat_0 & rat_$uminus(rat_-6) = rat_6 & rat_$uminus(rat_5/2) =
% 19.94/3.50    rat_-5/2 & rat_$uminus(rat_6) = rat_-6 & rat_$uminus(rat_-7/2) = rat_7/2 &
% 19.94/3.50    rat_$uminus(rat_7/2) = rat_-7/2 & rat_$uminus(rat_-5/2) = rat_5/2 &
% 19.94/3.50    rat_$uminus(rat_0) = rat_0 & rat_$sum(rat_25/4, rat_-35/4) = rat_-5/2 &
% 19.94/3.50    rat_$sum(rat_25/4, rat_6) = rat_49/4 & rat_$sum(rat_25/4, rat_0) = rat_25/4 &
% 19.94/3.50    rat_$sum(rat_-5, rat_5/2) = rat_-5/2 & rat_$sum(rat_-5, rat_6) = rat_1 &
% 19.94/3.50    rat_$sum(rat_-5, rat_0) = rat_-5 & rat_$sum(rat_-7/5, rat_1) = rat_-2/5 &
% 19.94/3.50    rat_$sum(rat_-7/5, rat_0) = rat_-7/5 & rat_$sum(rat_-2/5, rat_0) = rat_-2/5 &
% 19.94/3.50    rat_$sum(rat_-6, rat_5/2) = rat_-7/2 & rat_$sum(rat_-6, rat_6) = rat_0 &
% 19.94/3.50    rat_$sum(rat_-6, rat_1) = rat_-5 & rat_$sum(rat_-6, rat_49/4) = rat_25/4 &
% 19.94/3.50    rat_$sum(rat_-6, rat_7) = rat_1 & rat_$sum(rat_-6, rat_7/2) = rat_-5/2 &
% 19.94/3.50    rat_$sum(rat_-6, rat_0) = rat_-6 & rat_$sum(rat_5/2, rat_-5) = rat_-5/2 &
% 19.94/3.50    rat_$sum(rat_5/2, rat_-6) = rat_-7/2 & rat_$sum(rat_5/2, rat_1) = rat_7/2 &
% 19.94/3.50    rat_$sum(rat_5/2, rat_7/2) = rat_6 & rat_$sum(rat_5/2, rat_-5/2) = rat_0 &
% 19.94/3.50    rat_$sum(rat_5/2, rat_0) = rat_5/2 & rat_$sum(rat_-5/7, rat_1) = rat_2/7 &
% 19.94/3.50    rat_$sum(rat_-5/7, rat_0) = rat_-5/7 & rat_$sum(rat_-35/4, rat_25/4) =
% 19.94/3.50    rat_-5/2 & rat_$sum(rat_-35/4, rat_49/4) = rat_7/2 & rat_$sum(rat_-35/4,
% 19.94/3.50      rat_0) = rat_-35/4 & rat_$sum(rat_6, rat_25/4) = rat_49/4 & rat_$sum(rat_6,
% 19.94/3.50      rat_-5) = rat_1 & rat_$sum(rat_6, rat_-6) = rat_0 & rat_$sum(rat_6, rat_1) =
% 19.94/3.50    rat_7 & rat_$sum(rat_6, rat_-7/2) = rat_5/2 & rat_$sum(rat_6, rat_-5/2) =
% 19.94/3.50    rat_7/2 & rat_$sum(rat_6, rat_0) = rat_6 & rat_$sum(rat_1, rat_-7/5) =
% 19.94/3.50    rat_-2/5 & rat_$sum(rat_1, rat_-6) = rat_-5 & rat_$sum(rat_1, rat_5/2) =
% 19.94/3.50    rat_7/2 & rat_$sum(rat_1, rat_-5/7) = rat_2/7 & rat_$sum(rat_1, rat_6) = rat_7
% 19.94/3.50    & rat_$sum(rat_1, rat_-7/2) = rat_-5/2 & rat_$sum(rat_1, rat_0) = rat_1 &
% 19.94/3.50    rat_$sum(rat_2/7, rat_0) = rat_2/7 & rat_$sum(rat_49/4, rat_-6) = rat_25/4 &
% 19.94/3.50    rat_$sum(rat_49/4, rat_-35/4) = rat_7/2 & rat_$sum(rat_49/4, rat_0) = rat_49/4
% 19.94/3.50    & rat_$sum(rat_7, rat_-6) = rat_1 & rat_$sum(rat_7, rat_-7/2) = rat_7/2 &
% 19.94/3.50    rat_$sum(rat_7, rat_0) = rat_7 & rat_$sum(rat_-7/2, rat_6) = rat_5/2 &
% 19.94/3.50    rat_$sum(rat_-7/2, rat_1) = rat_-5/2 & rat_$sum(rat_-7/2, rat_7) = rat_7/2 &
% 19.94/3.50    rat_$sum(rat_-7/2, rat_7/2) = rat_0 & rat_$sum(rat_-7/2, rat_-5/2) = rat_-6 &
% 19.94/3.50    rat_$sum(rat_-7/2, rat_0) = rat_-7/2 & rat_$sum(rat_7/2, rat_-6) = rat_-5/2 &
% 19.94/3.50    rat_$sum(rat_7/2, rat_5/2) = rat_6 & rat_$sum(rat_7/2, rat_-7/2) = rat_0 &
% 19.94/3.50    rat_$sum(rat_7/2, rat_7/2) = rat_7 & rat_$sum(rat_7/2, rat_-5/2) = rat_1 &
% 19.94/3.50    rat_$sum(rat_7/2, rat_0) = rat_7/2 & rat_$sum(rat_-5/2, rat_5/2) = rat_0 &
% 19.94/3.50    rat_$sum(rat_-5/2, rat_6) = rat_7/2 & rat_$sum(rat_-5/2, rat_-7/2) = rat_-6 &
% 19.94/3.50    rat_$sum(rat_-5/2, rat_7/2) = rat_1 & rat_$sum(rat_-5/2, rat_-5/2) = rat_-5 &
% 19.94/3.50    rat_$sum(rat_-5/2, rat_0) = rat_-5/2 & rat_$sum(rat_0, rat_25/4) = rat_25/4 &
% 19.94/3.50    rat_$sum(rat_0, rat_-5) = rat_-5 & rat_$sum(rat_0, rat_-7/5) = rat_-7/5 &
% 19.94/3.50    rat_$sum(rat_0, rat_-2/5) = rat_-2/5 & rat_$sum(rat_0, rat_-6) = rat_-6 &
% 19.94/3.50    rat_$sum(rat_0, rat_5/2) = rat_5/2 & rat_$sum(rat_0, rat_-5/7) = rat_-5/7 &
% 19.94/3.50    rat_$sum(rat_0, rat_-35/4) = rat_-35/4 & rat_$sum(rat_0, rat_6) = rat_6 &
% 19.94/3.50    rat_$sum(rat_0, rat_1) = rat_1 & rat_$sum(rat_0, rat_2/7) = rat_2/7 &
% 19.94/3.50    rat_$sum(rat_0, rat_49/4) = rat_49/4 & rat_$sum(rat_0, rat_7) = rat_7 &
% 19.94/3.50    rat_$sum(rat_0, rat_-7/2) = rat_-7/2 & rat_$sum(rat_0, rat_7/2) = rat_7/2 &
% 19.94/3.50    rat_$sum(rat_0, rat_-5/2) = rat_-5/2 & rat_$sum(rat_0, rat_0) = rat_0 &
% 19.94/3.50    rat_$is_rat(rat_25/4) & rat_$is_rat(rat_-5) & rat_$is_rat(rat_-7/5) &
% 19.94/3.50    rat_$is_rat(rat_-2/5) & rat_$is_rat(rat_-6) & rat_$is_rat(rat_5/2) &
% 19.94/3.50    rat_$is_rat(rat_-5/7) & rat_$is_rat(rat_-35/4) & rat_$is_rat(rat_6) &
% 19.94/3.50    rat_$is_rat(rat_1) & rat_$is_rat(rat_2/7) & rat_$is_rat(rat_49/4) &
% 19.94/3.50    rat_$is_rat(rat_7) & rat_$is_rat(rat_-7/2) & rat_$is_rat(rat_7/2) &
% 19.94/3.50    rat_$is_rat(rat_-5/2) & rat_$is_rat(rat_0) & rat_$is_int(rat_-5) &
% 19.94/3.50    rat_$is_int(rat_-6) & rat_$is_int(rat_6) & rat_$is_int(rat_1) &
% 19.94/3.50    rat_$is_int(rat_7) & rat_$is_int(rat_0) & rat_$greatereq(rat_25/4, rat_25/4) &
% 19.94/3.50    rat_$greatereq(rat_25/4, rat_-5) & rat_$greatereq(rat_25/4, rat_-7/5) &
% 19.94/3.50    rat_$greatereq(rat_25/4, rat_-2/5) & rat_$greatereq(rat_25/4, rat_-6) &
% 19.94/3.50    rat_$greatereq(rat_25/4, rat_5/2) & rat_$greatereq(rat_25/4, rat_-5/7) &
% 19.94/3.50    rat_$greatereq(rat_25/4, rat_-35/4) & rat_$greatereq(rat_25/4, rat_6) &
% 19.94/3.50    rat_$greatereq(rat_25/4, rat_1) & rat_$greatereq(rat_25/4, rat_2/7) &
% 19.94/3.50    rat_$greatereq(rat_25/4, rat_-7/2) & rat_$greatereq(rat_25/4, rat_7/2) &
% 19.94/3.50    rat_$greatereq(rat_25/4, rat_-5/2) & rat_$greatereq(rat_25/4, rat_0) &
% 19.94/3.50    rat_$greatereq(rat_-5, rat_-5) & rat_$greatereq(rat_-5, rat_-6) &
% 19.94/3.50    rat_$greatereq(rat_-5, rat_-35/4) & rat_$greatereq(rat_-7/5, rat_-5) &
% 19.94/3.50    rat_$greatereq(rat_-7/5, rat_-7/5) & rat_$greatereq(rat_-7/5, rat_-6) &
% 19.94/3.50    rat_$greatereq(rat_-7/5, rat_-35/4) & rat_$greatereq(rat_-7/5, rat_-7/2) &
% 19.94/3.50    rat_$greatereq(rat_-7/5, rat_-5/2) & rat_$greatereq(rat_-2/5, rat_-5) &
% 19.94/3.50    rat_$greatereq(rat_-2/5, rat_-7/5) & rat_$greatereq(rat_-2/5, rat_-2/5) &
% 19.94/3.50    rat_$greatereq(rat_-2/5, rat_-6) & rat_$greatereq(rat_-2/5, rat_-5/7) &
% 19.94/3.50    rat_$greatereq(rat_-2/5, rat_-35/4) & rat_$greatereq(rat_-2/5, rat_-7/2) &
% 19.94/3.50    rat_$greatereq(rat_-2/5, rat_-5/2) & rat_$greatereq(rat_-6, rat_-6) &
% 19.94/3.50    rat_$greatereq(rat_-6, rat_-35/4) & rat_$greatereq(rat_5/2, rat_-5) &
% 19.94/3.50    rat_$greatereq(rat_5/2, rat_-7/5) & rat_$greatereq(rat_5/2, rat_-2/5) &
% 19.94/3.50    rat_$greatereq(rat_5/2, rat_-6) & rat_$greatereq(rat_5/2, rat_5/2) &
% 19.94/3.50    rat_$greatereq(rat_5/2, rat_-5/7) & rat_$greatereq(rat_5/2, rat_-35/4) &
% 19.94/3.50    rat_$greatereq(rat_5/2, rat_1) & rat_$greatereq(rat_5/2, rat_2/7) &
% 19.94/3.50    rat_$greatereq(rat_5/2, rat_-7/2) & rat_$greatereq(rat_5/2, rat_-5/2) &
% 19.94/3.50    rat_$greatereq(rat_5/2, rat_0) & rat_$greatereq(rat_-5/7, rat_-5) &
% 19.94/3.50    rat_$greatereq(rat_-5/7, rat_-7/5) & rat_$greatereq(rat_-5/7, rat_-6) &
% 19.94/3.50    rat_$greatereq(rat_-5/7, rat_-5/7) & rat_$greatereq(rat_-5/7, rat_-35/4) &
% 19.94/3.50    rat_$greatereq(rat_-5/7, rat_-7/2) & rat_$greatereq(rat_-5/7, rat_-5/2) &
% 19.94/3.50    rat_$greatereq(rat_-35/4, rat_-35/4) & rat_$greatereq(rat_6, rat_-5) &
% 19.94/3.50    rat_$greatereq(rat_6, rat_-7/5) & rat_$greatereq(rat_6, rat_-2/5) &
% 19.94/3.50    rat_$greatereq(rat_6, rat_-6) & rat_$greatereq(rat_6, rat_5/2) &
% 19.94/3.50    rat_$greatereq(rat_6, rat_-5/7) & rat_$greatereq(rat_6, rat_-35/4) &
% 19.94/3.50    rat_$greatereq(rat_6, rat_6) & rat_$greatereq(rat_6, rat_1) &
% 19.94/3.50    rat_$greatereq(rat_6, rat_2/7) & rat_$greatereq(rat_6, rat_-7/2) &
% 19.94/3.50    rat_$greatereq(rat_6, rat_7/2) & rat_$greatereq(rat_6, rat_-5/2) &
% 19.94/3.50    rat_$greatereq(rat_6, rat_0) & rat_$greatereq(rat_1, rat_-5) &
% 19.94/3.50    rat_$greatereq(rat_1, rat_-7/5) & rat_$greatereq(rat_1, rat_-2/5) &
% 19.94/3.50    rat_$greatereq(rat_1, rat_-6) & rat_$greatereq(rat_1, rat_-5/7) &
% 19.94/3.50    rat_$greatereq(rat_1, rat_-35/4) & rat_$greatereq(rat_1, rat_1) &
% 19.94/3.50    rat_$greatereq(rat_1, rat_2/7) & rat_$greatereq(rat_1, rat_-7/2) &
% 19.94/3.50    rat_$greatereq(rat_1, rat_-5/2) & rat_$greatereq(rat_1, rat_0) &
% 19.94/3.50    rat_$greatereq(rat_2/7, rat_-5) & rat_$greatereq(rat_2/7, rat_-7/5) &
% 19.94/3.50    rat_$greatereq(rat_2/7, rat_-2/5) & rat_$greatereq(rat_2/7, rat_-6) &
% 19.94/3.50    rat_$greatereq(rat_2/7, rat_-5/7) & rat_$greatereq(rat_2/7, rat_-35/4) &
% 19.94/3.50    rat_$greatereq(rat_2/7, rat_2/7) & rat_$greatereq(rat_2/7, rat_-7/2) &
% 19.94/3.50    rat_$greatereq(rat_2/7, rat_-5/2) & rat_$greatereq(rat_2/7, rat_0) &
% 19.94/3.50    rat_$greatereq(rat_49/4, rat_25/4) & rat_$greatereq(rat_49/4, rat_-5) &
% 19.94/3.50    rat_$greatereq(rat_49/4, rat_-7/5) & rat_$greatereq(rat_49/4, rat_-2/5) &
% 19.94/3.50    rat_$greatereq(rat_49/4, rat_-6) & rat_$greatereq(rat_49/4, rat_5/2) &
% 19.94/3.50    rat_$greatereq(rat_49/4, rat_-5/7) & rat_$greatereq(rat_49/4, rat_-35/4) &
% 19.94/3.50    rat_$greatereq(rat_49/4, rat_6) & rat_$greatereq(rat_49/4, rat_1) &
% 19.94/3.50    rat_$greatereq(rat_49/4, rat_2/7) & rat_$greatereq(rat_49/4, rat_49/4) &
% 19.94/3.50    rat_$greatereq(rat_49/4, rat_7) & rat_$greatereq(rat_49/4, rat_-7/2) &
% 19.94/3.50    rat_$greatereq(rat_49/4, rat_7/2) & rat_$greatereq(rat_49/4, rat_-5/2) &
% 19.94/3.50    rat_$greatereq(rat_49/4, rat_0) & rat_$greatereq(rat_7, rat_25/4) &
% 19.94/3.50    rat_$greatereq(rat_7, rat_-5) & rat_$greatereq(rat_7, rat_-7/5) &
% 19.94/3.50    rat_$greatereq(rat_7, rat_-2/5) & rat_$greatereq(rat_7, rat_-6) &
% 19.94/3.50    rat_$greatereq(rat_7, rat_5/2) & rat_$greatereq(rat_7, rat_-5/7) &
% 19.94/3.50    rat_$greatereq(rat_7, rat_-35/4) & rat_$greatereq(rat_7, rat_6) &
% 19.94/3.50    rat_$greatereq(rat_7, rat_1) & rat_$greatereq(rat_7, rat_2/7) &
% 19.94/3.50    rat_$greatereq(rat_7, rat_7) & rat_$greatereq(rat_7, rat_-7/2) &
% 19.94/3.50    rat_$greatereq(rat_7, rat_7/2) & rat_$greatereq(rat_7, rat_-5/2) &
% 19.94/3.50    rat_$greatereq(rat_7, rat_0) & rat_$greatereq(rat_-7/2, rat_-5) &
% 19.94/3.50    rat_$greatereq(rat_-7/2, rat_-6) & rat_$greatereq(rat_-7/2, rat_-35/4) &
% 19.94/3.50    rat_$greatereq(rat_-7/2, rat_-7/2) & rat_$greatereq(rat_7/2, rat_-5) &
% 19.94/3.50    rat_$greatereq(rat_7/2, rat_-7/5) & rat_$greatereq(rat_7/2, rat_-2/5) &
% 19.94/3.50    rat_$greatereq(rat_7/2, rat_-6) & rat_$greatereq(rat_7/2, rat_5/2) &
% 19.94/3.50    rat_$greatereq(rat_7/2, rat_-5/7) & rat_$greatereq(rat_7/2, rat_-35/4) &
% 19.94/3.50    rat_$greatereq(rat_7/2, rat_1) & rat_$greatereq(rat_7/2, rat_2/7) &
% 19.94/3.50    rat_$greatereq(rat_7/2, rat_-7/2) & rat_$greatereq(rat_7/2, rat_7/2) &
% 19.94/3.50    rat_$greatereq(rat_7/2, rat_-5/2) & rat_$greatereq(rat_7/2, rat_0) &
% 19.94/3.50    rat_$greatereq(rat_-5/2, rat_-5) & rat_$greatereq(rat_-5/2, rat_-6) &
% 19.94/3.50    rat_$greatereq(rat_-5/2, rat_-35/4) & rat_$greatereq(rat_-5/2, rat_-7/2) &
% 19.94/3.50    rat_$greatereq(rat_-5/2, rat_-5/2) & rat_$greatereq(rat_0, rat_-5) &
% 19.94/3.50    rat_$greatereq(rat_0, rat_-7/5) & rat_$greatereq(rat_0, rat_-2/5) &
% 19.94/3.50    rat_$greatereq(rat_0, rat_-6) & rat_$greatereq(rat_0, rat_-5/7) &
% 19.94/3.50    rat_$greatereq(rat_0, rat_-35/4) & rat_$greatereq(rat_0, rat_-7/2) &
% 19.94/3.50    rat_$greatereq(rat_0, rat_-5/2) & rat_$greatereq(rat_0, rat_0) &
% 19.94/3.50    rat_$greater(rat_very_large, rat_25/4) & rat_$greater(rat_very_large, rat_-5)
% 19.94/3.50    & rat_$greater(rat_very_large, rat_-7/5) & rat_$greater(rat_very_large,
% 19.94/3.50      rat_-2/5) & rat_$greater(rat_very_large, rat_-6) &
% 19.94/3.50    rat_$greater(rat_very_large, rat_5/2) & rat_$greater(rat_very_large, rat_-5/7)
% 19.94/3.50    & rat_$greater(rat_very_large, rat_-35/4) & rat_$greater(rat_very_large,
% 19.94/3.50      rat_6) & rat_$greater(rat_very_large, rat_1) & rat_$greater(rat_very_large,
% 19.94/3.50      rat_2/7) & rat_$greater(rat_very_large, rat_49/4) &
% 19.94/3.50    rat_$greater(rat_very_large, rat_7) & rat_$greater(rat_very_large, rat_-7/2) &
% 19.94/3.50    rat_$greater(rat_very_large, rat_7/2) & rat_$greater(rat_very_large, rat_-5/2)
% 19.94/3.50    & rat_$greater(rat_very_large, rat_0) & rat_$greater(rat_25/4, rat_very_small)
% 19.94/3.50    & rat_$greater(rat_25/4, rat_-5) & rat_$greater(rat_25/4, rat_-7/5) &
% 19.94/3.50    rat_$greater(rat_25/4, rat_-2/5) & rat_$greater(rat_25/4, rat_-6) &
% 19.94/3.50    rat_$greater(rat_25/4, rat_5/2) & rat_$greater(rat_25/4, rat_-5/7) &
% 19.94/3.50    rat_$greater(rat_25/4, rat_-35/4) & rat_$greater(rat_25/4, rat_6) &
% 19.94/3.50    rat_$greater(rat_25/4, rat_1) & rat_$greater(rat_25/4, rat_2/7) &
% 19.94/3.50    rat_$greater(rat_25/4, rat_-7/2) & rat_$greater(rat_25/4, rat_7/2) &
% 19.94/3.50    rat_$greater(rat_25/4, rat_-5/2) & rat_$greater(rat_25/4, rat_0) &
% 19.94/3.50    rat_$greater(rat_-5, rat_very_small) & rat_$greater(rat_-5, rat_-6) &
% 19.94/3.50    rat_$greater(rat_-5, rat_-35/4) & rat_$greater(rat_-7/5, rat_very_small) &
% 19.94/3.50    rat_$greater(rat_-7/5, rat_-5) & rat_$greater(rat_-7/5, rat_-6) &
% 19.94/3.50    rat_$greater(rat_-7/5, rat_-35/4) & rat_$greater(rat_-7/5, rat_-7/2) &
% 19.94/3.50    rat_$greater(rat_-7/5, rat_-5/2) & rat_$greater(rat_-2/5, rat_very_small) &
% 19.94/3.50    rat_$greater(rat_-2/5, rat_-5) & rat_$greater(rat_-2/5, rat_-7/5) &
% 19.94/3.50    rat_$greater(rat_-2/5, rat_-6) & rat_$greater(rat_-2/5, rat_-5/7) &
% 19.94/3.50    rat_$greater(rat_-2/5, rat_-35/4) & rat_$greater(rat_-2/5, rat_-7/2) &
% 19.94/3.50    rat_$greater(rat_-2/5, rat_-5/2) & rat_$greater(rat_-6, rat_very_small) &
% 19.94/3.50    rat_$greater(rat_-6, rat_-35/4) & rat_$greater(rat_5/2, rat_very_small) &
% 19.94/3.50    rat_$greater(rat_5/2, rat_-5) & rat_$greater(rat_5/2, rat_-7/5) &
% 19.94/3.50    rat_$greater(rat_5/2, rat_-2/5) & rat_$greater(rat_5/2, rat_-6) &
% 19.94/3.50    rat_$greater(rat_5/2, rat_-5/7) & rat_$greater(rat_5/2, rat_-35/4) &
% 19.94/3.50    rat_$greater(rat_5/2, rat_1) & rat_$greater(rat_5/2, rat_2/7) &
% 19.94/3.50    rat_$greater(rat_5/2, rat_-7/2) & rat_$greater(rat_5/2, rat_-5/2) &
% 19.94/3.50    rat_$greater(rat_5/2, rat_0) & rat_$greater(rat_-5/7, rat_very_small) &
% 19.94/3.50    rat_$greater(rat_-5/7, rat_-5) & rat_$greater(rat_-5/7, rat_-7/5) &
% 19.94/3.50    rat_$greater(rat_-5/7, rat_-6) & rat_$greater(rat_-5/7, rat_-35/4) &
% 19.94/3.50    rat_$greater(rat_-5/7, rat_-7/2) & rat_$greater(rat_-5/7, rat_-5/2) &
% 19.94/3.50    rat_$greater(rat_-35/4, rat_very_small) & rat_$greater(rat_6, rat_very_small)
% 19.94/3.50    & rat_$greater(rat_6, rat_-5) & rat_$greater(rat_6, rat_-7/5) &
% 19.94/3.50    rat_$greater(rat_6, rat_-2/5) & rat_$greater(rat_6, rat_-6) &
% 19.94/3.50    rat_$greater(rat_6, rat_5/2) & rat_$greater(rat_6, rat_-5/7) &
% 19.94/3.50    rat_$greater(rat_6, rat_-35/4) & rat_$greater(rat_6, rat_1) &
% 19.94/3.50    rat_$greater(rat_6, rat_2/7) & rat_$greater(rat_6, rat_-7/2) &
% 19.94/3.50    rat_$greater(rat_6, rat_7/2) & rat_$greater(rat_6, rat_-5/2) &
% 19.94/3.50    rat_$greater(rat_6, rat_0) & rat_$greater(rat_1, rat_very_small) &
% 19.94/3.50    rat_$greater(rat_1, rat_-5) & rat_$greater(rat_1, rat_-7/5) &
% 19.94/3.50    rat_$greater(rat_1, rat_-2/5) & rat_$greater(rat_1, rat_-6) &
% 19.94/3.50    rat_$greater(rat_1, rat_-5/7) & rat_$greater(rat_1, rat_-35/4) &
% 19.94/3.50    rat_$greater(rat_1, rat_2/7) & rat_$greater(rat_1, rat_-7/2) &
% 19.94/3.50    rat_$greater(rat_1, rat_-5/2) & rat_$greater(rat_1, rat_0) &
% 19.94/3.50    rat_$greater(rat_2/7, rat_very_small) & rat_$greater(rat_2/7, rat_-5) &
% 19.94/3.50    rat_$greater(rat_2/7, rat_-7/5) & rat_$greater(rat_2/7, rat_-2/5) &
% 19.94/3.50    rat_$greater(rat_2/7, rat_-6) & rat_$greater(rat_2/7, rat_-5/7) &
% 19.94/3.50    rat_$greater(rat_2/7, rat_-35/4) & rat_$greater(rat_2/7, rat_-7/2) &
% 19.94/3.50    rat_$greater(rat_2/7, rat_-5/2) & rat_$greater(rat_2/7, rat_0) &
% 19.94/3.50    rat_$greater(rat_49/4, rat_very_small) & rat_$greater(rat_49/4, rat_25/4) &
% 19.94/3.50    rat_$greater(rat_49/4, rat_-5) & rat_$greater(rat_49/4, rat_-7/5) &
% 19.94/3.50    rat_$greater(rat_49/4, rat_-2/5) & rat_$greater(rat_49/4, rat_-6) &
% 19.94/3.50    rat_$greater(rat_49/4, rat_5/2) & rat_$greater(rat_49/4, rat_-5/7) &
% 19.94/3.50    rat_$greater(rat_49/4, rat_-35/4) & rat_$greater(rat_49/4, rat_6) &
% 19.94/3.50    rat_$greater(rat_49/4, rat_1) & rat_$greater(rat_49/4, rat_2/7) &
% 19.94/3.50    rat_$greater(rat_49/4, rat_7) & rat_$greater(rat_49/4, rat_-7/2) &
% 19.94/3.50    rat_$greater(rat_49/4, rat_7/2) & rat_$greater(rat_49/4, rat_-5/2) &
% 19.94/3.50    rat_$greater(rat_49/4, rat_0) & rat_$greater(rat_7, rat_very_small) &
% 19.94/3.50    rat_$greater(rat_7, rat_25/4) & rat_$greater(rat_7, rat_-5) &
% 19.94/3.50    rat_$greater(rat_7, rat_-7/5) & rat_$greater(rat_7, rat_-2/5) &
% 19.94/3.50    rat_$greater(rat_7, rat_-6) & rat_$greater(rat_7, rat_5/2) &
% 19.94/3.50    rat_$greater(rat_7, rat_-5/7) & rat_$greater(rat_7, rat_-35/4) &
% 19.94/3.50    rat_$greater(rat_7, rat_6) & rat_$greater(rat_7, rat_1) & rat_$greater(rat_7,
% 19.94/3.50      rat_2/7) & rat_$greater(rat_7, rat_-7/2) & rat_$greater(rat_7, rat_7/2) &
% 19.94/3.50    rat_$greater(rat_7, rat_-5/2) & rat_$greater(rat_7, rat_0) &
% 19.94/3.50    rat_$greater(rat_-7/2, rat_very_small) & rat_$greater(rat_-7/2, rat_-5) &
% 19.94/3.50    rat_$greater(rat_-7/2, rat_-6) & rat_$greater(rat_-7/2, rat_-35/4) &
% 19.94/3.50    rat_$greater(rat_7/2, rat_very_small) & rat_$greater(rat_7/2, rat_-5) &
% 19.94/3.50    rat_$greater(rat_7/2, rat_-7/5) & rat_$greater(rat_7/2, rat_-2/5) &
% 19.94/3.50    rat_$greater(rat_7/2, rat_-6) & rat_$greater(rat_7/2, rat_5/2) &
% 19.94/3.50    rat_$greater(rat_7/2, rat_-5/7) & rat_$greater(rat_7/2, rat_-35/4) &
% 19.94/3.50    rat_$greater(rat_7/2, rat_1) & rat_$greater(rat_7/2, rat_2/7) &
% 19.94/3.50    rat_$greater(rat_7/2, rat_-7/2) & rat_$greater(rat_7/2, rat_-5/2) &
% 19.94/3.50    rat_$greater(rat_7/2, rat_0) & rat_$greater(rat_-5/2, rat_very_small) &
% 19.94/3.50    rat_$greater(rat_-5/2, rat_-5) & rat_$greater(rat_-5/2, rat_-6) &
% 19.94/3.50    rat_$greater(rat_-5/2, rat_-35/4) & rat_$greater(rat_-5/2, rat_-7/2) &
% 19.94/3.50    rat_$greater(rat_0, rat_very_small) & rat_$greater(rat_0, rat_-5) &
% 19.94/3.50    rat_$greater(rat_0, rat_-7/5) & rat_$greater(rat_0, rat_-2/5) &
% 19.94/3.50    rat_$greater(rat_0, rat_-6) & rat_$greater(rat_0, rat_-5/7) &
% 19.94/3.50    rat_$greater(rat_0, rat_-35/4) & rat_$greater(rat_0, rat_-7/2) &
% 19.94/3.50    rat_$greater(rat_0, rat_-5/2) & rat_$lesseq(rat_very_small, rat_very_large) &
% 19.94/3.50    rat_$lesseq(rat_25/4, rat_25/4) & rat_$lesseq(rat_25/4, rat_49/4) &
% 19.94/3.50    rat_$lesseq(rat_25/4, rat_7) & rat_$lesseq(rat_-5, rat_25/4) &
% 19.94/3.50    rat_$lesseq(rat_-5, rat_-5) & rat_$lesseq(rat_-5, rat_-7/5) &
% 19.94/3.50    rat_$lesseq(rat_-5, rat_-2/5) & rat_$lesseq(rat_-5, rat_5/2) &
% 19.94/3.50    rat_$lesseq(rat_-5, rat_-5/7) & rat_$lesseq(rat_-5, rat_6) &
% 19.94/3.50    rat_$lesseq(rat_-5, rat_1) & rat_$lesseq(rat_-5, rat_2/7) &
% 19.94/3.50    rat_$lesseq(rat_-5, rat_49/4) & rat_$lesseq(rat_-5, rat_7) &
% 19.94/3.50    rat_$lesseq(rat_-5, rat_-7/2) & rat_$lesseq(rat_-5, rat_7/2) &
% 19.94/3.50    rat_$lesseq(rat_-5, rat_-5/2) & rat_$lesseq(rat_-5, rat_0) &
% 19.94/3.50    rat_$lesseq(rat_-7/5, rat_25/4) & rat_$lesseq(rat_-7/5, rat_-7/5) &
% 19.94/3.50    rat_$lesseq(rat_-7/5, rat_-2/5) & rat_$lesseq(rat_-7/5, rat_5/2) &
% 19.94/3.50    rat_$lesseq(rat_-7/5, rat_-5/7) & rat_$lesseq(rat_-7/5, rat_6) &
% 19.94/3.50    rat_$lesseq(rat_-7/5, rat_1) & rat_$lesseq(rat_-7/5, rat_2/7) &
% 19.94/3.50    rat_$lesseq(rat_-7/5, rat_49/4) & rat_$lesseq(rat_-7/5, rat_7) &
% 19.94/3.50    rat_$lesseq(rat_-7/5, rat_7/2) & rat_$lesseq(rat_-7/5, rat_0) &
% 19.94/3.50    rat_$lesseq(rat_-2/5, rat_25/4) & rat_$lesseq(rat_-2/5, rat_-2/5) &
% 19.94/3.50    rat_$lesseq(rat_-2/5, rat_5/2) & rat_$lesseq(rat_-2/5, rat_6) &
% 19.94/3.50    rat_$lesseq(rat_-2/5, rat_1) & rat_$lesseq(rat_-2/5, rat_2/7) &
% 19.94/3.50    rat_$lesseq(rat_-2/5, rat_49/4) & rat_$lesseq(rat_-2/5, rat_7) &
% 19.94/3.50    rat_$lesseq(rat_-2/5, rat_7/2) & rat_$lesseq(rat_-2/5, rat_0) &
% 19.94/3.50    rat_$lesseq(rat_-6, rat_25/4) & rat_$lesseq(rat_-6, rat_-5) &
% 19.94/3.50    rat_$lesseq(rat_-6, rat_-7/5) & rat_$lesseq(rat_-6, rat_-2/5) &
% 19.94/3.50    rat_$lesseq(rat_-6, rat_-6) & rat_$lesseq(rat_-6, rat_5/2) &
% 19.94/3.50    rat_$lesseq(rat_-6, rat_-5/7) & rat_$lesseq(rat_-6, rat_6) &
% 19.94/3.50    rat_$lesseq(rat_-6, rat_1) & rat_$lesseq(rat_-6, rat_2/7) &
% 19.94/3.50    rat_$lesseq(rat_-6, rat_49/4) & rat_$lesseq(rat_-6, rat_7) &
% 19.94/3.50    rat_$lesseq(rat_-6, rat_-7/2) & rat_$lesseq(rat_-6, rat_7/2) &
% 19.94/3.50    rat_$lesseq(rat_-6, rat_-5/2) & rat_$lesseq(rat_-6, rat_0) &
% 19.94/3.50    rat_$lesseq(rat_5/2, rat_25/4) & rat_$lesseq(rat_5/2, rat_5/2) &
% 19.94/3.50    rat_$lesseq(rat_5/2, rat_6) & rat_$lesseq(rat_5/2, rat_49/4) &
% 19.94/3.50    rat_$lesseq(rat_5/2, rat_7) & rat_$lesseq(rat_5/2, rat_7/2) &
% 19.94/3.50    rat_$lesseq(rat_-5/7, rat_25/4) & rat_$lesseq(rat_-5/7, rat_-2/5) &
% 19.94/3.50    rat_$lesseq(rat_-5/7, rat_5/2) & rat_$lesseq(rat_-5/7, rat_-5/7) &
% 19.94/3.50    rat_$lesseq(rat_-5/7, rat_6) & rat_$lesseq(rat_-5/7, rat_1) &
% 19.94/3.50    rat_$lesseq(rat_-5/7, rat_2/7) & rat_$lesseq(rat_-5/7, rat_49/4) &
% 19.94/3.50    rat_$lesseq(rat_-5/7, rat_7) & rat_$lesseq(rat_-5/7, rat_7/2) &
% 19.94/3.50    rat_$lesseq(rat_-5/7, rat_0) & rat_$lesseq(rat_-35/4, rat_25/4) &
% 19.94/3.50    rat_$lesseq(rat_-35/4, rat_-5) & rat_$lesseq(rat_-35/4, rat_-7/5) &
% 19.94/3.50    rat_$lesseq(rat_-35/4, rat_-2/5) & rat_$lesseq(rat_-35/4, rat_-6) &
% 19.94/3.50    rat_$lesseq(rat_-35/4, rat_5/2) & rat_$lesseq(rat_-35/4, rat_-5/7) &
% 19.94/3.50    rat_$lesseq(rat_-35/4, rat_-35/4) & rat_$lesseq(rat_-35/4, rat_6) &
% 19.94/3.50    rat_$lesseq(rat_-35/4, rat_1) & rat_$lesseq(rat_-35/4, rat_2/7) &
% 19.94/3.50    rat_$lesseq(rat_-35/4, rat_49/4) & rat_$lesseq(rat_-35/4, rat_7) &
% 19.94/3.50    rat_$lesseq(rat_-35/4, rat_-7/2) & rat_$lesseq(rat_-35/4, rat_7/2) &
% 19.94/3.50    rat_$lesseq(rat_-35/4, rat_-5/2) & rat_$lesseq(rat_-35/4, rat_0) &
% 19.94/3.50    rat_$lesseq(rat_6, rat_25/4) & rat_$lesseq(rat_6, rat_6) & rat_$lesseq(rat_6,
% 19.94/3.50      rat_49/4) & rat_$lesseq(rat_6, rat_7) & rat_$lesseq(rat_1, rat_25/4) &
% 19.94/3.50    rat_$lesseq(rat_1, rat_5/2) & rat_$lesseq(rat_1, rat_6) & rat_$lesseq(rat_1,
% 19.94/3.50      rat_1) & rat_$lesseq(rat_1, rat_49/4) & rat_$lesseq(rat_1, rat_7) &
% 19.94/3.50    rat_$lesseq(rat_1, rat_7/2) & rat_$lesseq(rat_2/7, rat_25/4) &
% 19.94/3.50    rat_$lesseq(rat_2/7, rat_5/2) & rat_$lesseq(rat_2/7, rat_6) &
% 19.94/3.50    rat_$lesseq(rat_2/7, rat_1) & rat_$lesseq(rat_2/7, rat_2/7) &
% 19.94/3.50    rat_$lesseq(rat_2/7, rat_49/4) & rat_$lesseq(rat_2/7, rat_7) &
% 19.94/3.50    rat_$lesseq(rat_2/7, rat_7/2) & rat_$lesseq(rat_49/4, rat_49/4) &
% 19.94/3.50    rat_$lesseq(rat_7, rat_49/4) & rat_$lesseq(rat_7, rat_7) &
% 19.94/3.50    rat_$lesseq(rat_-7/2, rat_25/4) & rat_$lesseq(rat_-7/2, rat_-7/5) &
% 19.94/3.50    rat_$lesseq(rat_-7/2, rat_-2/5) & rat_$lesseq(rat_-7/2, rat_5/2) &
% 19.94/3.50    rat_$lesseq(rat_-7/2, rat_-5/7) & rat_$lesseq(rat_-7/2, rat_6) &
% 19.94/3.50    rat_$lesseq(rat_-7/2, rat_1) & rat_$lesseq(rat_-7/2, rat_2/7) &
% 19.94/3.50    rat_$lesseq(rat_-7/2, rat_49/4) & rat_$lesseq(rat_-7/2, rat_7) &
% 19.94/3.50    rat_$lesseq(rat_-7/2, rat_-7/2) & rat_$lesseq(rat_-7/2, rat_7/2) &
% 19.94/3.50    rat_$lesseq(rat_-7/2, rat_-5/2) & rat_$lesseq(rat_-7/2, rat_0) &
% 19.94/3.50    rat_$lesseq(rat_7/2, rat_25/4) & rat_$lesseq(rat_7/2, rat_6) &
% 19.94/3.50    rat_$lesseq(rat_7/2, rat_49/4) & rat_$lesseq(rat_7/2, rat_7) &
% 19.94/3.50    rat_$lesseq(rat_7/2, rat_7/2) & rat_$lesseq(rat_-5/2, rat_25/4) &
% 19.94/3.50    rat_$lesseq(rat_-5/2, rat_-7/5) & rat_$lesseq(rat_-5/2, rat_-2/5) &
% 19.94/3.50    rat_$lesseq(rat_-5/2, rat_5/2) & rat_$lesseq(rat_-5/2, rat_-5/7) &
% 19.94/3.50    rat_$lesseq(rat_-5/2, rat_6) & rat_$lesseq(rat_-5/2, rat_1) &
% 19.94/3.50    rat_$lesseq(rat_-5/2, rat_2/7) & rat_$lesseq(rat_-5/2, rat_49/4) &
% 19.94/3.50    rat_$lesseq(rat_-5/2, rat_7) & rat_$lesseq(rat_-5/2, rat_7/2) &
% 19.94/3.50    rat_$lesseq(rat_-5/2, rat_-5/2) & rat_$lesseq(rat_-5/2, rat_0) &
% 19.94/3.50    rat_$lesseq(rat_0, rat_25/4) & rat_$lesseq(rat_0, rat_5/2) &
% 19.94/3.50    rat_$lesseq(rat_0, rat_6) & rat_$lesseq(rat_0, rat_1) & rat_$lesseq(rat_0,
% 19.94/3.50      rat_2/7) & rat_$lesseq(rat_0, rat_49/4) & rat_$lesseq(rat_0, rat_7) &
% 19.94/3.50    rat_$lesseq(rat_0, rat_7/2) & rat_$lesseq(rat_0, rat_0) &
% 19.94/3.50    rat_$less(rat_very_small, rat_very_large) & rat_$less(rat_very_small,
% 19.94/3.50      rat_25/4) & rat_$less(rat_very_small, rat_-5) & rat_$less(rat_very_small,
% 19.94/3.50      rat_-7/5) & rat_$less(rat_very_small, rat_-2/5) & rat_$less(rat_very_small,
% 19.94/3.50      rat_-6) & rat_$less(rat_very_small, rat_5/2) & rat_$less(rat_very_small,
% 19.94/3.50      rat_-5/7) & rat_$less(rat_very_small, rat_-35/4) & rat_$less(rat_very_small,
% 19.94/3.50      rat_6) & rat_$less(rat_very_small, rat_1) & rat_$less(rat_very_small,
% 19.94/3.50      rat_2/7) & rat_$less(rat_very_small, rat_49/4) & rat_$less(rat_very_small,
% 19.94/3.50      rat_7) & rat_$less(rat_very_small, rat_-7/2) & rat_$less(rat_very_small,
% 19.94/3.50      rat_7/2) & rat_$less(rat_very_small, rat_-5/2) & rat_$less(rat_very_small,
% 19.94/3.50      rat_0) & rat_$less(rat_25/4, rat_very_large) & rat_$less(rat_25/4, rat_49/4)
% 19.94/3.50    & rat_$less(rat_25/4, rat_7) & rat_$less(rat_-5, rat_very_large) &
% 19.94/3.50    rat_$less(rat_-5, rat_25/4) & rat_$less(rat_-5, rat_-7/5) & rat_$less(rat_-5,
% 19.94/3.50      rat_-2/5) & rat_$less(rat_-5, rat_5/2) & rat_$less(rat_-5, rat_-5/7) &
% 19.94/3.50    rat_$less(rat_-5, rat_6) & rat_$less(rat_-5, rat_1) & rat_$less(rat_-5,
% 19.94/3.50      rat_2/7) & rat_$less(rat_-5, rat_49/4) & rat_$less(rat_-5, rat_7) &
% 19.94/3.50    rat_$less(rat_-5, rat_-7/2) & rat_$less(rat_-5, rat_7/2) & rat_$less(rat_-5,
% 19.94/3.50      rat_-5/2) & rat_$less(rat_-5, rat_0) & rat_$less(rat_-7/5, rat_very_large) &
% 19.94/3.50    rat_$less(rat_-7/5, rat_25/4) & rat_$less(rat_-7/5, rat_-2/5) &
% 19.94/3.50    rat_$less(rat_-7/5, rat_5/2) & rat_$less(rat_-7/5, rat_-5/7) &
% 19.94/3.50    rat_$less(rat_-7/5, rat_6) & rat_$less(rat_-7/5, rat_1) & rat_$less(rat_-7/5,
% 19.94/3.50      rat_2/7) & rat_$less(rat_-7/5, rat_49/4) & rat_$less(rat_-7/5, rat_7) &
% 19.94/3.50    rat_$less(rat_-7/5, rat_7/2) & rat_$less(rat_-7/5, rat_0) &
% 19.94/3.50    rat_$less(rat_-2/5, rat_very_large) & rat_$less(rat_-2/5, rat_25/4) &
% 19.94/3.50    rat_$less(rat_-2/5, rat_5/2) & rat_$less(rat_-2/5, rat_6) &
% 19.94/3.50    rat_$less(rat_-2/5, rat_1) & rat_$less(rat_-2/5, rat_2/7) &
% 19.94/3.50    rat_$less(rat_-2/5, rat_49/4) & rat_$less(rat_-2/5, rat_7) &
% 19.94/3.50    rat_$less(rat_-2/5, rat_7/2) & rat_$less(rat_-2/5, rat_0) & rat_$less(rat_-6,
% 19.94/3.50      rat_very_large) & rat_$less(rat_-6, rat_25/4) & rat_$less(rat_-6, rat_-5) &
% 19.94/3.50    rat_$less(rat_-6, rat_-7/5) & rat_$less(rat_-6, rat_-2/5) & rat_$less(rat_-6,
% 19.94/3.50      rat_5/2) & rat_$less(rat_-6, rat_-5/7) & rat_$less(rat_-6, rat_6) &
% 19.94/3.50    rat_$less(rat_-6, rat_1) & rat_$less(rat_-6, rat_2/7) & rat_$less(rat_-6,
% 19.94/3.50      rat_49/4) & rat_$less(rat_-6, rat_7) & rat_$less(rat_-6, rat_-7/2) &
% 19.94/3.50    rat_$less(rat_-6, rat_7/2) & rat_$less(rat_-6, rat_-5/2) & rat_$less(rat_-6,
% 19.94/3.50      rat_0) & rat_$less(rat_5/2, rat_very_large) & rat_$less(rat_5/2, rat_25/4) &
% 19.94/3.50    rat_$less(rat_5/2, rat_6) & rat_$less(rat_5/2, rat_49/4) & rat_$less(rat_5/2,
% 19.94/3.50      rat_7) & rat_$less(rat_5/2, rat_7/2) & rat_$less(rat_-5/7, rat_very_large) &
% 19.94/3.50    rat_$less(rat_-5/7, rat_25/4) & rat_$less(rat_-5/7, rat_-2/5) &
% 19.94/3.50    rat_$less(rat_-5/7, rat_5/2) & rat_$less(rat_-5/7, rat_6) &
% 19.94/3.50    rat_$less(rat_-5/7, rat_1) & rat_$less(rat_-5/7, rat_2/7) &
% 19.94/3.50    rat_$less(rat_-5/7, rat_49/4) & rat_$less(rat_-5/7, rat_7) &
% 19.94/3.50    rat_$less(rat_-5/7, rat_7/2) & rat_$less(rat_-5/7, rat_0) &
% 19.94/3.50    rat_$less(rat_-35/4, rat_very_large) & rat_$less(rat_-35/4, rat_25/4) &
% 19.94/3.50    rat_$less(rat_-35/4, rat_-5) & rat_$less(rat_-35/4, rat_-7/5) &
% 19.94/3.50    rat_$less(rat_-35/4, rat_-2/5) & rat_$less(rat_-35/4, rat_-6) &
% 19.94/3.50    rat_$less(rat_-35/4, rat_5/2) & rat_$less(rat_-35/4, rat_-5/7) &
% 19.94/3.50    rat_$less(rat_-35/4, rat_6) & rat_$less(rat_-35/4, rat_1) &
% 19.94/3.50    rat_$less(rat_-35/4, rat_2/7) & rat_$less(rat_-35/4, rat_49/4) &
% 19.94/3.50    rat_$less(rat_-35/4, rat_7) & rat_$less(rat_-35/4, rat_-7/2) &
% 19.94/3.50    rat_$less(rat_-35/4, rat_7/2) & rat_$less(rat_-35/4, rat_-5/2) &
% 19.94/3.50    rat_$less(rat_-35/4, rat_0) & rat_$less(rat_6, rat_very_large) &
% 19.94/3.50    rat_$less(rat_6, rat_25/4) & rat_$less(rat_6, rat_49/4) & rat_$less(rat_6,
% 19.94/3.50      rat_7) & rat_$less(rat_1, rat_very_large) & rat_$less(rat_1, rat_25/4) &
% 19.94/3.50    rat_$less(rat_1, rat_5/2) & rat_$less(rat_1, rat_6) & rat_$less(rat_1,
% 19.94/3.50      rat_49/4) & rat_$less(rat_1, rat_7) & rat_$less(rat_1, rat_7/2) &
% 19.94/3.50    rat_$less(rat_2/7, rat_very_large) & rat_$less(rat_2/7, rat_25/4) &
% 19.94/3.50    rat_$less(rat_2/7, rat_5/2) & rat_$less(rat_2/7, rat_6) & rat_$less(rat_2/7,
% 19.94/3.50      rat_1) & rat_$less(rat_2/7, rat_49/4) & rat_$less(rat_2/7, rat_7) &
% 19.94/3.50    rat_$less(rat_2/7, rat_7/2) & rat_$less(rat_49/4, rat_very_large) &
% 19.94/3.50    rat_$less(rat_7, rat_very_large) & rat_$less(rat_7, rat_49/4) &
% 19.94/3.50    rat_$less(rat_-7/2, rat_very_large) & rat_$less(rat_-7/2, rat_25/4) &
% 19.94/3.50    rat_$less(rat_-7/2, rat_-7/5) & rat_$less(rat_-7/2, rat_-2/5) &
% 19.94/3.50    rat_$less(rat_-7/2, rat_5/2) & rat_$less(rat_-7/2, rat_-5/7) &
% 19.94/3.50    rat_$less(rat_-7/2, rat_6) & rat_$less(rat_-7/2, rat_1) & rat_$less(rat_-7/2,
% 19.94/3.50      rat_2/7) & rat_$less(rat_-7/2, rat_49/4) & rat_$less(rat_-7/2, rat_7) &
% 19.94/3.50    rat_$less(rat_-7/2, rat_7/2) & rat_$less(rat_-7/2, rat_-5/2) &
% 19.94/3.50    rat_$less(rat_-7/2, rat_0) & rat_$less(rat_7/2, rat_very_large) &
% 19.94/3.50    rat_$less(rat_7/2, rat_25/4) & rat_$less(rat_7/2, rat_6) & rat_$less(rat_7/2,
% 19.94/3.50      rat_49/4) & rat_$less(rat_7/2, rat_7) & rat_$less(rat_-5/2, rat_very_large)
% 19.94/3.50    & rat_$less(rat_-5/2, rat_25/4) & rat_$less(rat_-5/2, rat_-7/5) &
% 19.94/3.50    rat_$less(rat_-5/2, rat_-2/5) & rat_$less(rat_-5/2, rat_5/2) &
% 19.94/3.50    rat_$less(rat_-5/2, rat_-5/7) & rat_$less(rat_-5/2, rat_6) &
% 19.94/3.50    rat_$less(rat_-5/2, rat_1) & rat_$less(rat_-5/2, rat_2/7) &
% 19.94/3.50    rat_$less(rat_-5/2, rat_49/4) & rat_$less(rat_-5/2, rat_7) &
% 19.94/3.50    rat_$less(rat_-5/2, rat_7/2) & rat_$less(rat_-5/2, rat_0) & rat_$less(rat_0,
% 19.94/3.50      rat_very_large) & rat_$less(rat_0, rat_25/4) & rat_$less(rat_0, rat_5/2) &
% 19.94/3.50    rat_$less(rat_0, rat_6) & rat_$less(rat_0, rat_1) & rat_$less(rat_0, rat_2/7)
% 19.94/3.50    & rat_$less(rat_0, rat_49/4) & rat_$less(rat_0, rat_7) & rat_$less(rat_0,
% 19.94/3.50      rat_7/2) &  ~ rat_$is_int(rat_25/4) &  ~ rat_$is_int(rat_-7/5) &  ~
% 19.94/3.50    rat_$is_int(rat_-2/5) &  ~ rat_$is_int(rat_5/2) &  ~ rat_$is_int(rat_-5/7) & 
% 19.94/3.50    ~ rat_$is_int(rat_-35/4) &  ~ rat_$is_int(rat_2/7) &  ~ rat_$is_int(rat_49/4)
% 19.94/3.50    &  ~ rat_$is_int(rat_-7/2) &  ~ rat_$is_int(rat_7/2) &  ~
% 19.94/3.50    rat_$is_int(rat_-5/2) &  ~ rat_$greatereq(rat_very_small, rat_very_large) &  ~
% 19.94/3.50    rat_$greatereq(rat_25/4, rat_49/4) &  ~ rat_$greatereq(rat_25/4, rat_7) &  ~
% 19.94/3.50    rat_$greatereq(rat_-5, rat_25/4) &  ~ rat_$greatereq(rat_-5, rat_-7/5) &  ~
% 19.94/3.50    rat_$greatereq(rat_-5, rat_-2/5) &  ~ rat_$greatereq(rat_-5, rat_5/2) &  ~
% 19.94/3.50    rat_$greatereq(rat_-5, rat_-5/7) &  ~ rat_$greatereq(rat_-5, rat_6) &  ~
% 19.94/3.50    rat_$greatereq(rat_-5, rat_1) &  ~ rat_$greatereq(rat_-5, rat_2/7) &  ~
% 19.94/3.50    rat_$greatereq(rat_-5, rat_49/4) &  ~ rat_$greatereq(rat_-5, rat_7) &  ~
% 19.94/3.50    rat_$greatereq(rat_-5, rat_-7/2) &  ~ rat_$greatereq(rat_-5, rat_7/2) &  ~
% 19.94/3.50    rat_$greatereq(rat_-5, rat_-5/2) &  ~ rat_$greatereq(rat_-5, rat_0) &  ~
% 19.94/3.50    rat_$greatereq(rat_-7/5, rat_25/4) &  ~ rat_$greatereq(rat_-7/5, rat_-2/5) & 
% 19.94/3.50    ~ rat_$greatereq(rat_-7/5, rat_5/2) &  ~ rat_$greatereq(rat_-7/5, rat_-5/7) & 
% 19.94/3.50    ~ rat_$greatereq(rat_-7/5, rat_6) &  ~ rat_$greatereq(rat_-7/5, rat_1) &  ~
% 19.94/3.50    rat_$greatereq(rat_-7/5, rat_2/7) &  ~ rat_$greatereq(rat_-7/5, rat_49/4) &  ~
% 19.94/3.50    rat_$greatereq(rat_-7/5, rat_7) &  ~ rat_$greatereq(rat_-7/5, rat_7/2) &  ~
% 19.94/3.50    rat_$greatereq(rat_-7/5, rat_0) &  ~ rat_$greatereq(rat_-2/5, rat_25/4) &  ~
% 19.94/3.50    rat_$greatereq(rat_-2/5, rat_5/2) &  ~ rat_$greatereq(rat_-2/5, rat_6) &  ~
% 19.94/3.50    rat_$greatereq(rat_-2/5, rat_1) &  ~ rat_$greatereq(rat_-2/5, rat_2/7) &  ~
% 19.94/3.50    rat_$greatereq(rat_-2/5, rat_49/4) &  ~ rat_$greatereq(rat_-2/5, rat_7) &  ~
% 19.94/3.50    rat_$greatereq(rat_-2/5, rat_7/2) &  ~ rat_$greatereq(rat_-2/5, rat_0) &  ~
% 19.94/3.50    rat_$greatereq(rat_-6, rat_25/4) &  ~ rat_$greatereq(rat_-6, rat_-5) &  ~
% 19.94/3.50    rat_$greatereq(rat_-6, rat_-7/5) &  ~ rat_$greatereq(rat_-6, rat_-2/5) &  ~
% 19.94/3.50    rat_$greatereq(rat_-6, rat_5/2) &  ~ rat_$greatereq(rat_-6, rat_-5/7) &  ~
% 19.94/3.50    rat_$greatereq(rat_-6, rat_6) &  ~ rat_$greatereq(rat_-6, rat_1) &  ~
% 19.94/3.50    rat_$greatereq(rat_-6, rat_2/7) &  ~ rat_$greatereq(rat_-6, rat_49/4) &  ~
% 19.94/3.50    rat_$greatereq(rat_-6, rat_7) &  ~ rat_$greatereq(rat_-6, rat_-7/2) &  ~
% 19.94/3.50    rat_$greatereq(rat_-6, rat_7/2) &  ~ rat_$greatereq(rat_-6, rat_-5/2) &  ~
% 19.94/3.50    rat_$greatereq(rat_-6, rat_0) &  ~ rat_$greatereq(rat_5/2, rat_25/4) &  ~
% 19.94/3.50    rat_$greatereq(rat_5/2, rat_6) &  ~ rat_$greatereq(rat_5/2, rat_49/4) &  ~
% 19.94/3.50    rat_$greatereq(rat_5/2, rat_7) &  ~ rat_$greatereq(rat_5/2, rat_7/2) &  ~
% 19.94/3.50    rat_$greatereq(rat_-5/7, rat_25/4) &  ~ rat_$greatereq(rat_-5/7, rat_-2/5) & 
% 19.94/3.50    ~ rat_$greatereq(rat_-5/7, rat_5/2) &  ~ rat_$greatereq(rat_-5/7, rat_6) &  ~
% 19.94/3.50    rat_$greatereq(rat_-5/7, rat_1) &  ~ rat_$greatereq(rat_-5/7, rat_2/7) &  ~
% 19.94/3.50    rat_$greatereq(rat_-5/7, rat_49/4) &  ~ rat_$greatereq(rat_-5/7, rat_7) &  ~
% 19.94/3.50    rat_$greatereq(rat_-5/7, rat_7/2) &  ~ rat_$greatereq(rat_-5/7, rat_0) &  ~
% 19.94/3.50    rat_$greatereq(rat_-35/4, rat_25/4) &  ~ rat_$greatereq(rat_-35/4, rat_-5) & 
% 19.94/3.50    ~ rat_$greatereq(rat_-35/4, rat_-7/5) &  ~ rat_$greatereq(rat_-35/4, rat_-2/5)
% 19.94/3.50    &  ~ rat_$greatereq(rat_-35/4, rat_-6) &  ~ rat_$greatereq(rat_-35/4, rat_5/2)
% 19.94/3.50    &  ~ rat_$greatereq(rat_-35/4, rat_-5/7) &  ~ rat_$greatereq(rat_-35/4, rat_6)
% 19.94/3.50    &  ~ rat_$greatereq(rat_-35/4, rat_1) &  ~ rat_$greatereq(rat_-35/4, rat_2/7)
% 19.94/3.50    &  ~ rat_$greatereq(rat_-35/4, rat_49/4) &  ~ rat_$greatereq(rat_-35/4, rat_7)
% 19.94/3.50    &  ~ rat_$greatereq(rat_-35/4, rat_-7/2) &  ~ rat_$greatereq(rat_-35/4,
% 19.94/3.50      rat_7/2) &  ~ rat_$greatereq(rat_-35/4, rat_-5/2) &  ~
% 19.94/3.50    rat_$greatereq(rat_-35/4, rat_0) &  ~ rat_$greatereq(rat_6, rat_25/4) &  ~
% 19.94/3.50    rat_$greatereq(rat_6, rat_49/4) &  ~ rat_$greatereq(rat_6, rat_7) &  ~
% 19.94/3.50    rat_$greatereq(rat_1, rat_25/4) &  ~ rat_$greatereq(rat_1, rat_5/2) &  ~
% 19.94/3.50    rat_$greatereq(rat_1, rat_6) &  ~ rat_$greatereq(rat_1, rat_49/4) &  ~
% 19.94/3.50    rat_$greatereq(rat_1, rat_7) &  ~ rat_$greatereq(rat_1, rat_7/2) &  ~
% 19.94/3.50    rat_$greatereq(rat_2/7, rat_25/4) &  ~ rat_$greatereq(rat_2/7, rat_5/2) &  ~
% 19.94/3.50    rat_$greatereq(rat_2/7, rat_6) &  ~ rat_$greatereq(rat_2/7, rat_1) &  ~
% 19.94/3.50    rat_$greatereq(rat_2/7, rat_49/4) &  ~ rat_$greatereq(rat_2/7, rat_7) &  ~
% 19.94/3.50    rat_$greatereq(rat_2/7, rat_7/2) &  ~ rat_$greatereq(rat_7, rat_49/4) &  ~
% 19.94/3.50    rat_$greatereq(rat_-7/2, rat_25/4) &  ~ rat_$greatereq(rat_-7/2, rat_-7/5) & 
% 19.94/3.50    ~ rat_$greatereq(rat_-7/2, rat_-2/5) &  ~ rat_$greatereq(rat_-7/2, rat_5/2) & 
% 19.94/3.50    ~ rat_$greatereq(rat_-7/2, rat_-5/7) &  ~ rat_$greatereq(rat_-7/2, rat_6) &  ~
% 19.94/3.50    rat_$greatereq(rat_-7/2, rat_1) &  ~ rat_$greatereq(rat_-7/2, rat_2/7) &  ~
% 19.94/3.50    rat_$greatereq(rat_-7/2, rat_49/4) &  ~ rat_$greatereq(rat_-7/2, rat_7) &  ~
% 19.94/3.50    rat_$greatereq(rat_-7/2, rat_7/2) &  ~ rat_$greatereq(rat_-7/2, rat_-5/2) &  ~
% 19.94/3.50    rat_$greatereq(rat_-7/2, rat_0) &  ~ rat_$greatereq(rat_7/2, rat_25/4) &  ~
% 19.94/3.50    rat_$greatereq(rat_7/2, rat_6) &  ~ rat_$greatereq(rat_7/2, rat_49/4) &  ~
% 19.94/3.50    rat_$greatereq(rat_7/2, rat_7) &  ~ rat_$greatereq(rat_-5/2, rat_25/4) &  ~
% 19.94/3.50    rat_$greatereq(rat_-5/2, rat_-7/5) &  ~ rat_$greatereq(rat_-5/2, rat_-2/5) & 
% 19.94/3.50    ~ rat_$greatereq(rat_-5/2, rat_5/2) &  ~ rat_$greatereq(rat_-5/2, rat_-5/7) & 
% 19.94/3.50    ~ rat_$greatereq(rat_-5/2, rat_6) &  ~ rat_$greatereq(rat_-5/2, rat_1) &  ~
% 19.94/3.50    rat_$greatereq(rat_-5/2, rat_2/7) &  ~ rat_$greatereq(rat_-5/2, rat_49/4) &  ~
% 19.94/3.50    rat_$greatereq(rat_-5/2, rat_7) &  ~ rat_$greatereq(rat_-5/2, rat_7/2) &  ~
% 19.94/3.50    rat_$greatereq(rat_-5/2, rat_0) &  ~ rat_$greatereq(rat_0, rat_25/4) &  ~
% 19.94/3.50    rat_$greatereq(rat_0, rat_5/2) &  ~ rat_$greatereq(rat_0, rat_6) &  ~
% 19.94/3.50    rat_$greatereq(rat_0, rat_1) &  ~ rat_$greatereq(rat_0, rat_2/7) &  ~
% 19.94/3.50    rat_$greatereq(rat_0, rat_49/4) &  ~ rat_$greatereq(rat_0, rat_7) &  ~
% 19.94/3.50    rat_$greatereq(rat_0, rat_7/2) &  ~ rat_$greater(rat_very_small,
% 20.32/3.50      rat_very_large) &  ~ rat_$greater(rat_25/4, rat_25/4) &  ~
% 20.32/3.50    rat_$greater(rat_25/4, rat_49/4) &  ~ rat_$greater(rat_25/4, rat_7) &  ~
% 20.32/3.50    rat_$greater(rat_-5, rat_25/4) &  ~ rat_$greater(rat_-5, rat_-5) &  ~
% 20.32/3.50    rat_$greater(rat_-5, rat_-7/5) &  ~ rat_$greater(rat_-5, rat_-2/5) &  ~
% 20.32/3.50    rat_$greater(rat_-5, rat_5/2) &  ~ rat_$greater(rat_-5, rat_-5/7) &  ~
% 20.32/3.50    rat_$greater(rat_-5, rat_6) &  ~ rat_$greater(rat_-5, rat_1) &  ~
% 20.32/3.50    rat_$greater(rat_-5, rat_2/7) &  ~ rat_$greater(rat_-5, rat_49/4) &  ~
% 20.32/3.50    rat_$greater(rat_-5, rat_7) &  ~ rat_$greater(rat_-5, rat_-7/2) &  ~
% 20.32/3.50    rat_$greater(rat_-5, rat_7/2) &  ~ rat_$greater(rat_-5, rat_-5/2) &  ~
% 20.32/3.50    rat_$greater(rat_-5, rat_0) &  ~ rat_$greater(rat_-7/5, rat_25/4) &  ~
% 20.32/3.50    rat_$greater(rat_-7/5, rat_-7/5) &  ~ rat_$greater(rat_-7/5, rat_-2/5) &  ~
% 20.32/3.50    rat_$greater(rat_-7/5, rat_5/2) &  ~ rat_$greater(rat_-7/5, rat_-5/7) &  ~
% 20.32/3.50    rat_$greater(rat_-7/5, rat_6) &  ~ rat_$greater(rat_-7/5, rat_1) &  ~
% 20.32/3.50    rat_$greater(rat_-7/5, rat_2/7) &  ~ rat_$greater(rat_-7/5, rat_49/4) &  ~
% 20.32/3.50    rat_$greater(rat_-7/5, rat_7) &  ~ rat_$greater(rat_-7/5, rat_7/2) &  ~
% 20.32/3.50    rat_$greater(rat_-7/5, rat_0) &  ~ rat_$greater(rat_-2/5, rat_25/4) &  ~
% 20.32/3.50    rat_$greater(rat_-2/5, rat_-2/5) &  ~ rat_$greater(rat_-2/5, rat_5/2) &  ~
% 20.32/3.50    rat_$greater(rat_-2/5, rat_6) &  ~ rat_$greater(rat_-2/5, rat_1) &  ~
% 20.32/3.50    rat_$greater(rat_-2/5, rat_2/7) &  ~ rat_$greater(rat_-2/5, rat_49/4) &  ~
% 20.32/3.50    rat_$greater(rat_-2/5, rat_7) &  ~ rat_$greater(rat_-2/5, rat_7/2) &  ~
% 20.32/3.50    rat_$greater(rat_-2/5, rat_0) &  ~ rat_$greater(rat_-6, rat_25/4) &  ~
% 20.32/3.50    rat_$greater(rat_-6, rat_-5) &  ~ rat_$greater(rat_-6, rat_-7/5) &  ~
% 20.32/3.50    rat_$greater(rat_-6, rat_-2/5) &  ~ rat_$greater(rat_-6, rat_-6) &  ~
% 20.32/3.50    rat_$greater(rat_-6, rat_5/2) &  ~ rat_$greater(rat_-6, rat_-5/7) &  ~
% 20.32/3.50    rat_$greater(rat_-6, rat_6) &  ~ rat_$greater(rat_-6, rat_1) &  ~
% 20.32/3.50    rat_$greater(rat_-6, rat_2/7) &  ~ rat_$greater(rat_-6, rat_49/4) &  ~
% 20.32/3.50    rat_$greater(rat_-6, rat_7) &  ~ rat_$greater(rat_-6, rat_-7/2) &  ~
% 20.32/3.50    rat_$greater(rat_-6, rat_7/2) &  ~ rat_$greater(rat_-6, rat_-5/2) &  ~
% 20.32/3.50    rat_$greater(rat_-6, rat_0) &  ~ rat_$greater(rat_5/2, rat_25/4) &  ~
% 20.32/3.50    rat_$greater(rat_5/2, rat_5/2) &  ~ rat_$greater(rat_5/2, rat_6) &  ~
% 20.32/3.50    rat_$greater(rat_5/2, rat_49/4) &  ~ rat_$greater(rat_5/2, rat_7) &  ~
% 20.32/3.50    rat_$greater(rat_5/2, rat_7/2) &  ~ rat_$greater(rat_-5/7, rat_25/4) &  ~
% 20.32/3.50    rat_$greater(rat_-5/7, rat_-2/5) &  ~ rat_$greater(rat_-5/7, rat_5/2) &  ~
% 20.32/3.50    rat_$greater(rat_-5/7, rat_-5/7) &  ~ rat_$greater(rat_-5/7, rat_6) &  ~
% 20.32/3.50    rat_$greater(rat_-5/7, rat_1) &  ~ rat_$greater(rat_-5/7, rat_2/7) &  ~
% 20.32/3.50    rat_$greater(rat_-5/7, rat_49/4) &  ~ rat_$greater(rat_-5/7, rat_7) &  ~
% 20.32/3.50    rat_$greater(rat_-5/7, rat_7/2) &  ~ rat_$greater(rat_-5/7, rat_0) &  ~
% 20.32/3.50    rat_$greater(rat_-35/4, rat_25/4) &  ~ rat_$greater(rat_-35/4, rat_-5) &  ~
% 20.32/3.50    rat_$greater(rat_-35/4, rat_-7/5) &  ~ rat_$greater(rat_-35/4, rat_-2/5) &  ~
% 20.32/3.50    rat_$greater(rat_-35/4, rat_-6) &  ~ rat_$greater(rat_-35/4, rat_5/2) &  ~
% 20.32/3.50    rat_$greater(rat_-35/4, rat_-5/7) &  ~ rat_$greater(rat_-35/4, rat_-35/4) &  ~
% 20.32/3.50    rat_$greater(rat_-35/4, rat_6) &  ~ rat_$greater(rat_-35/4, rat_1) &  ~
% 20.32/3.50    rat_$greater(rat_-35/4, rat_2/7) &  ~ rat_$greater(rat_-35/4, rat_49/4) &  ~
% 20.32/3.50    rat_$greater(rat_-35/4, rat_7) &  ~ rat_$greater(rat_-35/4, rat_-7/2) &  ~
% 20.32/3.50    rat_$greater(rat_-35/4, rat_7/2) &  ~ rat_$greater(rat_-35/4, rat_-5/2) &  ~
% 20.32/3.50    rat_$greater(rat_-35/4, rat_0) &  ~ rat_$greater(rat_6, rat_25/4) &  ~
% 20.32/3.50    rat_$greater(rat_6, rat_6) &  ~ rat_$greater(rat_6, rat_49/4) &  ~
% 20.32/3.50    rat_$greater(rat_6, rat_7) &  ~ rat_$greater(rat_1, rat_25/4) &  ~
% 20.32/3.50    rat_$greater(rat_1, rat_5/2) &  ~ rat_$greater(rat_1, rat_6) &  ~
% 20.32/3.50    rat_$greater(rat_1, rat_1) &  ~ rat_$greater(rat_1, rat_49/4) &  ~
% 20.32/3.50    rat_$greater(rat_1, rat_7) &  ~ rat_$greater(rat_1, rat_7/2) &  ~
% 20.32/3.50    rat_$greater(rat_2/7, rat_25/4) &  ~ rat_$greater(rat_2/7, rat_5/2) &  ~
% 20.32/3.50    rat_$greater(rat_2/7, rat_6) &  ~ rat_$greater(rat_2/7, rat_1) &  ~
% 20.32/3.50    rat_$greater(rat_2/7, rat_2/7) &  ~ rat_$greater(rat_2/7, rat_49/4) &  ~
% 20.32/3.50    rat_$greater(rat_2/7, rat_7) &  ~ rat_$greater(rat_2/7, rat_7/2) &  ~
% 20.32/3.50    rat_$greater(rat_49/4, rat_49/4) &  ~ rat_$greater(rat_7, rat_49/4) &  ~
% 20.32/3.50    rat_$greater(rat_7, rat_7) &  ~ rat_$greater(rat_-7/2, rat_25/4) &  ~
% 20.32/3.50    rat_$greater(rat_-7/2, rat_-7/5) &  ~ rat_$greater(rat_-7/2, rat_-2/5) &  ~
% 20.32/3.50    rat_$greater(rat_-7/2, rat_5/2) &  ~ rat_$greater(rat_-7/2, rat_-5/7) &  ~
% 20.32/3.50    rat_$greater(rat_-7/2, rat_6) &  ~ rat_$greater(rat_-7/2, rat_1) &  ~
% 20.32/3.50    rat_$greater(rat_-7/2, rat_2/7) &  ~ rat_$greater(rat_-7/2, rat_49/4) &  ~
% 20.32/3.50    rat_$greater(rat_-7/2, rat_7) &  ~ rat_$greater(rat_-7/2, rat_-7/2) &  ~
% 20.32/3.50    rat_$greater(rat_-7/2, rat_7/2) &  ~ rat_$greater(rat_-7/2, rat_-5/2) &  ~
% 20.32/3.50    rat_$greater(rat_-7/2, rat_0) &  ~ rat_$greater(rat_7/2, rat_25/4) &  ~
% 20.32/3.50    rat_$greater(rat_7/2, rat_6) &  ~ rat_$greater(rat_7/2, rat_49/4) &  ~
% 20.32/3.50    rat_$greater(rat_7/2, rat_7) &  ~ rat_$greater(rat_7/2, rat_7/2) &  ~
% 20.32/3.50    rat_$greater(rat_-5/2, rat_25/4) &  ~ rat_$greater(rat_-5/2, rat_-7/5) &  ~
% 20.32/3.50    rat_$greater(rat_-5/2, rat_-2/5) &  ~ rat_$greater(rat_-5/2, rat_5/2) &  ~
% 20.32/3.50    rat_$greater(rat_-5/2, rat_-5/7) &  ~ rat_$greater(rat_-5/2, rat_6) &  ~
% 20.32/3.50    rat_$greater(rat_-5/2, rat_1) &  ~ rat_$greater(rat_-5/2, rat_2/7) &  ~
% 20.32/3.50    rat_$greater(rat_-5/2, rat_49/4) &  ~ rat_$greater(rat_-5/2, rat_7) &  ~
% 20.32/3.50    rat_$greater(rat_-5/2, rat_7/2) &  ~ rat_$greater(rat_-5/2, rat_-5/2) &  ~
% 20.32/3.50    rat_$greater(rat_-5/2, rat_0) &  ~ rat_$greater(rat_0, rat_25/4) &  ~
% 20.32/3.50    rat_$greater(rat_0, rat_5/2) &  ~ rat_$greater(rat_0, rat_6) &  ~
% 20.32/3.50    rat_$greater(rat_0, rat_1) &  ~ rat_$greater(rat_0, rat_2/7) &  ~
% 20.32/3.50    rat_$greater(rat_0, rat_49/4) &  ~ rat_$greater(rat_0, rat_7) &  ~
% 20.32/3.50    rat_$greater(rat_0, rat_7/2) &  ~ rat_$greater(rat_0, rat_0) &  ~
% 20.32/3.50    rat_$lesseq(rat_25/4, rat_-5) &  ~ rat_$lesseq(rat_25/4, rat_-7/5) &  ~
% 20.32/3.50    rat_$lesseq(rat_25/4, rat_-2/5) &  ~ rat_$lesseq(rat_25/4, rat_-6) &  ~
% 20.32/3.50    rat_$lesseq(rat_25/4, rat_5/2) &  ~ rat_$lesseq(rat_25/4, rat_-5/7) &  ~
% 20.32/3.50    rat_$lesseq(rat_25/4, rat_-35/4) &  ~ rat_$lesseq(rat_25/4, rat_6) &  ~
% 20.32/3.50    rat_$lesseq(rat_25/4, rat_1) &  ~ rat_$lesseq(rat_25/4, rat_2/7) &  ~
% 20.32/3.50    rat_$lesseq(rat_25/4, rat_-7/2) &  ~ rat_$lesseq(rat_25/4, rat_7/2) &  ~
% 20.32/3.50    rat_$lesseq(rat_25/4, rat_-5/2) &  ~ rat_$lesseq(rat_25/4, rat_0) &  ~
% 20.32/3.50    rat_$lesseq(rat_-5, rat_-6) &  ~ rat_$lesseq(rat_-5, rat_-35/4) &  ~
% 20.32/3.50    rat_$lesseq(rat_-7/5, rat_-5) &  ~ rat_$lesseq(rat_-7/5, rat_-6) &  ~
% 20.32/3.50    rat_$lesseq(rat_-7/5, rat_-35/4) &  ~ rat_$lesseq(rat_-7/5, rat_-7/2) &  ~
% 20.32/3.50    rat_$lesseq(rat_-7/5, rat_-5/2) &  ~ rat_$lesseq(rat_-2/5, rat_-5) &  ~
% 20.32/3.50    rat_$lesseq(rat_-2/5, rat_-7/5) &  ~ rat_$lesseq(rat_-2/5, rat_-6) &  ~
% 20.32/3.50    rat_$lesseq(rat_-2/5, rat_-5/7) &  ~ rat_$lesseq(rat_-2/5, rat_-35/4) &  ~
% 20.32/3.50    rat_$lesseq(rat_-2/5, rat_-7/2) &  ~ rat_$lesseq(rat_-2/5, rat_-5/2) &  ~
% 20.32/3.50    rat_$lesseq(rat_-6, rat_-35/4) &  ~ rat_$lesseq(rat_5/2, rat_-5) &  ~
% 20.32/3.50    rat_$lesseq(rat_5/2, rat_-7/5) &  ~ rat_$lesseq(rat_5/2, rat_-2/5) &  ~
% 20.32/3.50    rat_$lesseq(rat_5/2, rat_-6) &  ~ rat_$lesseq(rat_5/2, rat_-5/7) &  ~
% 20.32/3.50    rat_$lesseq(rat_5/2, rat_-35/4) &  ~ rat_$lesseq(rat_5/2, rat_1) &  ~
% 20.32/3.50    rat_$lesseq(rat_5/2, rat_2/7) &  ~ rat_$lesseq(rat_5/2, rat_-7/2) &  ~
% 20.32/3.50    rat_$lesseq(rat_5/2, rat_-5/2) &  ~ rat_$lesseq(rat_5/2, rat_0) &  ~
% 20.32/3.50    rat_$lesseq(rat_-5/7, rat_-5) &  ~ rat_$lesseq(rat_-5/7, rat_-7/5) &  ~
% 20.32/3.50    rat_$lesseq(rat_-5/7, rat_-6) &  ~ rat_$lesseq(rat_-5/7, rat_-35/4) &  ~
% 20.32/3.50    rat_$lesseq(rat_-5/7, rat_-7/2) &  ~ rat_$lesseq(rat_-5/7, rat_-5/2) &  ~
% 20.32/3.50    rat_$lesseq(rat_6, rat_-5) &  ~ rat_$lesseq(rat_6, rat_-7/5) &  ~
% 20.32/3.50    rat_$lesseq(rat_6, rat_-2/5) &  ~ rat_$lesseq(rat_6, rat_-6) &  ~
% 20.32/3.50    rat_$lesseq(rat_6, rat_5/2) &  ~ rat_$lesseq(rat_6, rat_-5/7) &  ~
% 20.32/3.50    rat_$lesseq(rat_6, rat_-35/4) &  ~ rat_$lesseq(rat_6, rat_1) &  ~
% 20.32/3.50    rat_$lesseq(rat_6, rat_2/7) &  ~ rat_$lesseq(rat_6, rat_-7/2) &  ~
% 20.32/3.50    rat_$lesseq(rat_6, rat_7/2) &  ~ rat_$lesseq(rat_6, rat_-5/2) &  ~
% 20.32/3.50    rat_$lesseq(rat_6, rat_0) &  ~ rat_$lesseq(rat_1, rat_-5) &  ~
% 20.32/3.50    rat_$lesseq(rat_1, rat_-7/5) &  ~ rat_$lesseq(rat_1, rat_-2/5) &  ~
% 20.32/3.50    rat_$lesseq(rat_1, rat_-6) &  ~ rat_$lesseq(rat_1, rat_-5/7) &  ~
% 20.32/3.50    rat_$lesseq(rat_1, rat_-35/4) &  ~ rat_$lesseq(rat_1, rat_2/7) &  ~
% 20.32/3.50    rat_$lesseq(rat_1, rat_-7/2) &  ~ rat_$lesseq(rat_1, rat_-5/2) &  ~
% 20.32/3.50    rat_$lesseq(rat_1, rat_0) &  ~ rat_$lesseq(rat_2/7, rat_-5) &  ~
% 20.32/3.50    rat_$lesseq(rat_2/7, rat_-7/5) &  ~ rat_$lesseq(rat_2/7, rat_-2/5) &  ~
% 20.32/3.50    rat_$lesseq(rat_2/7, rat_-6) &  ~ rat_$lesseq(rat_2/7, rat_-5/7) &  ~
% 20.32/3.50    rat_$lesseq(rat_2/7, rat_-35/4) &  ~ rat_$lesseq(rat_2/7, rat_-7/2) &  ~
% 20.32/3.50    rat_$lesseq(rat_2/7, rat_-5/2) &  ~ rat_$lesseq(rat_2/7, rat_0) &  ~
% 20.32/3.50    rat_$lesseq(rat_49/4, rat_25/4) &  ~ rat_$lesseq(rat_49/4, rat_-5) &  ~
% 20.32/3.50    rat_$lesseq(rat_49/4, rat_-7/5) &  ~ rat_$lesseq(rat_49/4, rat_-2/5) &  ~
% 20.32/3.50    rat_$lesseq(rat_49/4, rat_-6) &  ~ rat_$lesseq(rat_49/4, rat_5/2) &  ~
% 20.32/3.50    rat_$lesseq(rat_49/4, rat_-5/7) &  ~ rat_$lesseq(rat_49/4, rat_-35/4) &  ~
% 20.32/3.50    rat_$lesseq(rat_49/4, rat_6) &  ~ rat_$lesseq(rat_49/4, rat_1) &  ~
% 20.32/3.50    rat_$lesseq(rat_49/4, rat_2/7) &  ~ rat_$lesseq(rat_49/4, rat_7) &  ~
% 20.32/3.50    rat_$lesseq(rat_49/4, rat_-7/2) &  ~ rat_$lesseq(rat_49/4, rat_7/2) &  ~
% 20.32/3.50    rat_$lesseq(rat_49/4, rat_-5/2) &  ~ rat_$lesseq(rat_49/4, rat_0) &  ~
% 20.32/3.50    rat_$lesseq(rat_7, rat_25/4) &  ~ rat_$lesseq(rat_7, rat_-5) &  ~
% 20.32/3.50    rat_$lesseq(rat_7, rat_-7/5) &  ~ rat_$lesseq(rat_7, rat_-2/5) &  ~
% 20.32/3.50    rat_$lesseq(rat_7, rat_-6) &  ~ rat_$lesseq(rat_7, rat_5/2) &  ~
% 20.32/3.50    rat_$lesseq(rat_7, rat_-5/7) &  ~ rat_$lesseq(rat_7, rat_-35/4) &  ~
% 20.32/3.50    rat_$lesseq(rat_7, rat_6) &  ~ rat_$lesseq(rat_7, rat_1) &  ~
% 20.32/3.50    rat_$lesseq(rat_7, rat_2/7) &  ~ rat_$lesseq(rat_7, rat_-7/2) &  ~
% 20.32/3.50    rat_$lesseq(rat_7, rat_7/2) &  ~ rat_$lesseq(rat_7, rat_-5/2) &  ~
% 20.32/3.50    rat_$lesseq(rat_7, rat_0) &  ~ rat_$lesseq(rat_-7/2, rat_-5) &  ~
% 20.32/3.50    rat_$lesseq(rat_-7/2, rat_-6) &  ~ rat_$lesseq(rat_-7/2, rat_-35/4) &  ~
% 20.32/3.51    rat_$lesseq(rat_7/2, rat_-5) &  ~ rat_$lesseq(rat_7/2, rat_-7/5) &  ~
% 20.32/3.51    rat_$lesseq(rat_7/2, rat_-2/5) &  ~ rat_$lesseq(rat_7/2, rat_-6) &  ~
% 20.32/3.51    rat_$lesseq(rat_7/2, rat_5/2) &  ~ rat_$lesseq(rat_7/2, rat_-5/7) &  ~
% 20.32/3.51    rat_$lesseq(rat_7/2, rat_-35/4) &  ~ rat_$lesseq(rat_7/2, rat_1) &  ~
% 20.32/3.51    rat_$lesseq(rat_7/2, rat_2/7) &  ~ rat_$lesseq(rat_7/2, rat_-7/2) &  ~
% 20.32/3.51    rat_$lesseq(rat_7/2, rat_-5/2) &  ~ rat_$lesseq(rat_7/2, rat_0) &  ~
% 20.32/3.51    rat_$lesseq(rat_-5/2, rat_-5) &  ~ rat_$lesseq(rat_-5/2, rat_-6) &  ~
% 20.32/3.51    rat_$lesseq(rat_-5/2, rat_-35/4) &  ~ rat_$lesseq(rat_-5/2, rat_-7/2) &  ~
% 20.32/3.51    rat_$lesseq(rat_0, rat_-5) &  ~ rat_$lesseq(rat_0, rat_-7/5) &  ~
% 20.32/3.51    rat_$lesseq(rat_0, rat_-2/5) &  ~ rat_$lesseq(rat_0, rat_-6) &  ~
% 20.32/3.51    rat_$lesseq(rat_0, rat_-5/7) &  ~ rat_$lesseq(rat_0, rat_-35/4) &  ~
% 20.32/3.51    rat_$lesseq(rat_0, rat_-7/2) &  ~ rat_$lesseq(rat_0, rat_-5/2) &  ~
% 20.32/3.51    rat_$less(rat_25/4, rat_25/4) &  ~ rat_$less(rat_25/4, rat_-5) &  ~
% 20.32/3.51    rat_$less(rat_25/4, rat_-7/5) &  ~ rat_$less(rat_25/4, rat_-2/5) &  ~
% 20.32/3.51    rat_$less(rat_25/4, rat_-6) &  ~ rat_$less(rat_25/4, rat_5/2) &  ~
% 20.32/3.51    rat_$less(rat_25/4, rat_-5/7) &  ~ rat_$less(rat_25/4, rat_-35/4) &  ~
% 20.32/3.51    rat_$less(rat_25/4, rat_6) &  ~ rat_$less(rat_25/4, rat_1) &  ~
% 20.32/3.51    rat_$less(rat_25/4, rat_2/7) &  ~ rat_$less(rat_25/4, rat_-7/2) &  ~
% 20.32/3.51    rat_$less(rat_25/4, rat_7/2) &  ~ rat_$less(rat_25/4, rat_-5/2) &  ~
% 20.32/3.51    rat_$less(rat_25/4, rat_0) &  ~ rat_$less(rat_-5, rat_-5) &  ~
% 20.32/3.51    rat_$less(rat_-5, rat_-6) &  ~ rat_$less(rat_-5, rat_-35/4) &  ~
% 20.32/3.51    rat_$less(rat_-7/5, rat_-5) &  ~ rat_$less(rat_-7/5, rat_-7/5) &  ~
% 20.32/3.51    rat_$less(rat_-7/5, rat_-6) &  ~ rat_$less(rat_-7/5, rat_-35/4) &  ~
% 20.32/3.51    rat_$less(rat_-7/5, rat_-7/2) &  ~ rat_$less(rat_-7/5, rat_-5/2) &  ~
% 20.32/3.51    rat_$less(rat_-2/5, rat_-5) &  ~ rat_$less(rat_-2/5, rat_-7/5) &  ~
% 20.32/3.51    rat_$less(rat_-2/5, rat_-2/5) &  ~ rat_$less(rat_-2/5, rat_-6) &  ~
% 20.32/3.51    rat_$less(rat_-2/5, rat_-5/7) &  ~ rat_$less(rat_-2/5, rat_-35/4) &  ~
% 20.32/3.51    rat_$less(rat_-2/5, rat_-7/2) &  ~ rat_$less(rat_-2/5, rat_-5/2) &  ~
% 20.32/3.51    rat_$less(rat_-6, rat_-6) &  ~ rat_$less(rat_-6, rat_-35/4) &  ~
% 20.32/3.51    rat_$less(rat_5/2, rat_-5) &  ~ rat_$less(rat_5/2, rat_-7/5) &  ~
% 20.32/3.51    rat_$less(rat_5/2, rat_-2/5) &  ~ rat_$less(rat_5/2, rat_-6) &  ~
% 20.32/3.51    rat_$less(rat_5/2, rat_5/2) &  ~ rat_$less(rat_5/2, rat_-5/7) &  ~
% 20.32/3.51    rat_$less(rat_5/2, rat_-35/4) &  ~ rat_$less(rat_5/2, rat_1) &  ~
% 20.32/3.51    rat_$less(rat_5/2, rat_2/7) &  ~ rat_$less(rat_5/2, rat_-7/2) &  ~
% 20.32/3.51    rat_$less(rat_5/2, rat_-5/2) &  ~ rat_$less(rat_5/2, rat_0) &  ~
% 20.32/3.51    rat_$less(rat_-5/7, rat_-5) &  ~ rat_$less(rat_-5/7, rat_-7/5) &  ~
% 20.32/3.51    rat_$less(rat_-5/7, rat_-6) &  ~ rat_$less(rat_-5/7, rat_-5/7) &  ~
% 20.32/3.51    rat_$less(rat_-5/7, rat_-35/4) &  ~ rat_$less(rat_-5/7, rat_-7/2) &  ~
% 20.32/3.51    rat_$less(rat_-5/7, rat_-5/2) &  ~ rat_$less(rat_-35/4, rat_-35/4) &  ~
% 20.32/3.51    rat_$less(rat_6, rat_-5) &  ~ rat_$less(rat_6, rat_-7/5) &  ~ rat_$less(rat_6,
% 20.32/3.51      rat_-2/5) &  ~ rat_$less(rat_6, rat_-6) &  ~ rat_$less(rat_6, rat_5/2) &  ~
% 20.32/3.51    rat_$less(rat_6, rat_-5/7) &  ~ rat_$less(rat_6, rat_-35/4) &  ~
% 20.32/3.51    rat_$less(rat_6, rat_6) &  ~ rat_$less(rat_6, rat_1) &  ~ rat_$less(rat_6,
% 20.32/3.51      rat_2/7) &  ~ rat_$less(rat_6, rat_-7/2) &  ~ rat_$less(rat_6, rat_7/2) &  ~
% 20.32/3.51    rat_$less(rat_6, rat_-5/2) &  ~ rat_$less(rat_6, rat_0) &  ~ rat_$less(rat_1,
% 20.32/3.51      rat_-5) &  ~ rat_$less(rat_1, rat_-7/5) &  ~ rat_$less(rat_1, rat_-2/5) &  ~
% 20.32/3.51    rat_$less(rat_1, rat_-6) &  ~ rat_$less(rat_1, rat_-5/7) &  ~ rat_$less(rat_1,
% 20.32/3.51      rat_-35/4) &  ~ rat_$less(rat_1, rat_1) &  ~ rat_$less(rat_1, rat_2/7) &  ~
% 20.32/3.51    rat_$less(rat_1, rat_-7/2) &  ~ rat_$less(rat_1, rat_-5/2) &  ~
% 20.32/3.51    rat_$less(rat_1, rat_0) &  ~ rat_$less(rat_2/7, rat_-5) &  ~
% 20.32/3.51    rat_$less(rat_2/7, rat_-7/5) &  ~ rat_$less(rat_2/7, rat_-2/5) &  ~
% 20.32/3.51    rat_$less(rat_2/7, rat_-6) &  ~ rat_$less(rat_2/7, rat_-5/7) &  ~
% 20.32/3.51    rat_$less(rat_2/7, rat_-35/4) &  ~ rat_$less(rat_2/7, rat_2/7) &  ~
% 20.32/3.51    rat_$less(rat_2/7, rat_-7/2) &  ~ rat_$less(rat_2/7, rat_-5/2) &  ~
% 20.32/3.51    rat_$less(rat_2/7, rat_0) &  ~ rat_$less(rat_49/4, rat_25/4) &  ~
% 20.32/3.51    rat_$less(rat_49/4, rat_-5) &  ~ rat_$less(rat_49/4, rat_-7/5) &  ~
% 20.32/3.51    rat_$less(rat_49/4, rat_-2/5) &  ~ rat_$less(rat_49/4, rat_-6) &  ~
% 20.32/3.51    rat_$less(rat_49/4, rat_5/2) &  ~ rat_$less(rat_49/4, rat_-5/7) &  ~
% 20.32/3.51    rat_$less(rat_49/4, rat_-35/4) &  ~ rat_$less(rat_49/4, rat_6) &  ~
% 20.32/3.51    rat_$less(rat_49/4, rat_1) &  ~ rat_$less(rat_49/4, rat_2/7) &  ~
% 20.32/3.51    rat_$less(rat_49/4, rat_49/4) &  ~ rat_$less(rat_49/4, rat_7) &  ~
% 20.32/3.51    rat_$less(rat_49/4, rat_-7/2) &  ~ rat_$less(rat_49/4, rat_7/2) &  ~
% 20.32/3.51    rat_$less(rat_49/4, rat_-5/2) &  ~ rat_$less(rat_49/4, rat_0) &  ~
% 20.32/3.51    rat_$less(rat_7, rat_25/4) &  ~ rat_$less(rat_7, rat_-5) &  ~ rat_$less(rat_7,
% 20.32/3.51      rat_-7/5) &  ~ rat_$less(rat_7, rat_-2/5) &  ~ rat_$less(rat_7, rat_-6) &  ~
% 20.32/3.51    rat_$less(rat_7, rat_5/2) &  ~ rat_$less(rat_7, rat_-5/7) &  ~
% 20.32/3.51    rat_$less(rat_7, rat_-35/4) &  ~ rat_$less(rat_7, rat_6) &  ~ rat_$less(rat_7,
% 20.32/3.51      rat_1) &  ~ rat_$less(rat_7, rat_2/7) &  ~ rat_$less(rat_7, rat_7) &  ~
% 20.32/3.51    rat_$less(rat_7, rat_-7/2) &  ~ rat_$less(rat_7, rat_7/2) &  ~
% 20.32/3.51    rat_$less(rat_7, rat_-5/2) &  ~ rat_$less(rat_7, rat_0) &  ~
% 20.32/3.51    rat_$less(rat_-7/2, rat_-5) &  ~ rat_$less(rat_-7/2, rat_-6) &  ~
% 20.32/3.51    rat_$less(rat_-7/2, rat_-35/4) &  ~ rat_$less(rat_-7/2, rat_-7/2) &  ~
% 20.32/3.51    rat_$less(rat_7/2, rat_-5) &  ~ rat_$less(rat_7/2, rat_-7/5) &  ~
% 20.32/3.51    rat_$less(rat_7/2, rat_-2/5) &  ~ rat_$less(rat_7/2, rat_-6) &  ~
% 20.32/3.51    rat_$less(rat_7/2, rat_5/2) &  ~ rat_$less(rat_7/2, rat_-5/7) &  ~
% 20.32/3.51    rat_$less(rat_7/2, rat_-35/4) &  ~ rat_$less(rat_7/2, rat_1) &  ~
% 20.32/3.51    rat_$less(rat_7/2, rat_2/7) &  ~ rat_$less(rat_7/2, rat_-7/2) &  ~
% 20.32/3.51    rat_$less(rat_7/2, rat_7/2) &  ~ rat_$less(rat_7/2, rat_-5/2) &  ~
% 20.32/3.51    rat_$less(rat_7/2, rat_0) &  ~ rat_$less(rat_-5/2, rat_-5) &  ~
% 20.32/3.51    rat_$less(rat_-5/2, rat_-6) &  ~ rat_$less(rat_-5/2, rat_-35/4) &  ~
% 20.32/3.51    rat_$less(rat_-5/2, rat_-7/2) &  ~ rat_$less(rat_-5/2, rat_-5/2) &  ~
% 20.32/3.51    rat_$less(rat_0, rat_-5) &  ~ rat_$less(rat_0, rat_-7/5) &  ~ rat_$less(rat_0,
% 20.32/3.51      rat_-2/5) &  ~ rat_$less(rat_0, rat_-6) &  ~ rat_$less(rat_0, rat_-5/7) &  ~
% 20.32/3.51    rat_$less(rat_0, rat_-35/4) &  ~ rat_$less(rat_0, rat_-7/2) &  ~
% 20.32/3.51    rat_$less(rat_0, rat_-5/2) &  ~ rat_$less(rat_0, rat_0) &  ! [v0: $rat] :  !
% 20.32/3.51    [v1: $rat] :  ! [v2: $rat] :  ! [v3: $rat] :  ! [v4: $rat] : ( ~ (rat_$sum(v3,
% 20.32/3.51          v0) = v4) |  ~ (rat_$sum(v2, v1) = v3) |  ? [v5: $rat] : (rat_$sum(v2,
% 20.32/3.51          v5) = v4 & rat_$sum(v1, v0) = v5)) &  ! [v0: $rat] :  ! [v1: $rat] :  !
% 20.32/3.51    [v2: $rat] :  ! [v3: $rat] : (v3 = v1 | v0 = rat_0 |  ~ (rat_$quotient(v2, v0)
% 20.32/3.51        = v3) |  ~ (rat_$product(v1, v0) = v2)) &  ! [v0: $rat] :  ! [v1: $rat] : 
% 20.32/3.51    ! [v2: $rat] :  ! [v3: $rat] : ( ~ (rat_$uminus(v0) = v2) |  ~ (rat_$sum(v1,
% 20.32/3.51          v2) = v3) | rat_$difference(v1, v0) = v3) &  ! [v0: $rat] :  ! [v1:
% 20.32/3.51      $rat] :  ! [v2: $rat] : (v2 = rat_0 |  ~ (rat_$uminus(v0) = v1) |  ~
% 20.32/3.51      (rat_$sum(v0, v1) = v2)) &  ! [v0: $rat] :  ! [v1: $rat] :  ! [v2: $rat] : (
% 20.32/3.51      ~ (rat_$product(v0, v1) = v2) | rat_$product(v1, v0) = v2) &  ! [v0: $rat] :
% 20.32/3.51     ! [v1: $rat] :  ! [v2: $rat] : ( ~ (rat_$sum(v0, v1) = v2) | rat_$sum(v1, v0)
% 20.32/3.51      = v2) &  ! [v0: $rat] :  ! [v1: $rat] :  ! [v2: $rat] : ( ~ rat_$lesseq(v2,
% 20.32/3.51        v1) |  ~ rat_$lesseq(v1, v0) | rat_$lesseq(v2, v0)) &  ! [v0: $rat] :  !
% 20.32/3.51    [v1: $rat] :  ! [v2: $rat] : ( ~ rat_$lesseq(v2, v1) |  ~ rat_$less(v1, v0) |
% 20.32/3.51      rat_$less(v2, v0)) &  ! [v0: $rat] :  ! [v1: $rat] :  ! [v2: $rat] : ( ~
% 20.32/3.51      rat_$lesseq(v1, v0) |  ~ rat_$less(v2, v1) | rat_$less(v2, v0)) &  ! [v0:
% 20.32/3.51      $rat] :  ! [v1: $rat] : (v1 = v0 |  ~ (rat_$sum(v0, rat_0) = v1)) &  ! [v0:
% 20.32/3.51      $rat] :  ! [v1: $rat] : (v1 = v0 |  ~ rat_$lesseq(v1, v0) | rat_$less(v1,
% 20.32/3.51        v0)) &  ! [v0: $rat] :  ! [v1: $rat] : ( ~ (rat_$uminus(v0) = v1) |
% 20.32/3.51      rat_$uminus(v1) = v0) &  ! [v0: $rat] :  ! [v1: $rat] : ( ~
% 20.32/3.51      rat_$greatereq(v0, v1) | rat_$lesseq(v1, v0)) &  ! [v0: $rat] :  ! [v1:
% 20.32/3.51      $rat] : ( ~ rat_$greater(v0, v1) | rat_$less(v1, v0)) &  ! [v0: $rat] :  !
% 20.32/3.51    [v1: $rat] : ( ~ rat_$lesseq(v1, v0) | rat_$greatereq(v0, v1)) &  ! [v0: $rat]
% 20.32/3.51    :  ! [v1: $rat] : ( ~ rat_$less(v1, v0) | rat_$greater(v0, v1)) &  ! [v0:
% 20.32/3.51      $rat] :  ! [v1: $rat] : ( ~ rat_$less(v1, v0) | rat_$lesseq(v1, v0)) &  !
% 20.32/3.51    [v0: $rat] : (v0 = rat_0 |  ~ (rat_$uminus(v0) = v0)) &  ? [v0: $rat] :
% 20.32/3.51    rat_$lesseq(v0, v0)
% 20.32/3.51  
% 20.32/3.51  Those formulas are unsatisfiable:
% 20.32/3.51  ---------------------------------
% 20.32/3.51  
% 20.32/3.51  Begin of proof
% 20.32/3.51  | 
% 20.32/3.51  | ALPHA: (input) implies:
% 20.32/3.51  |   (1)  rat_$sum(rat_6, rat_-5/2) = rat_7/2
% 20.32/3.51  | 
% 20.32/3.51  | GROUND_INST: instantiating (rat_sum_problem_25) with rat_6, simplifying with
% 20.32/3.51  |              (1) gives:
% 20.32/3.51  |   (2)  $false
% 20.32/3.51  | 
% 20.32/3.51  | CLOSE: (2) is inconsistent.
% 20.32/3.51  | 
% 20.32/3.51  End of proof
% 20.32/3.51  % SZS output end Proof for theBenchmark
% 20.32/3.51  
% 20.32/3.51  2907ms
%------------------------------------------------------------------------------