%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ARI306_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 : n013.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 17:47:39 EDT 2023 % Result : Theorem 15.67s 2.80s % Output : Proof 22.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : ARI306_1 : TPTP v8.1.2. Released v5.0.0. % 0.08/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.35 % Computer : n013.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Tue Aug 29 17:47:02 EDT 2023 % 0.13/0.35 % CPUTime : % 0.20/0.62 ________ _____ % 0.20/0.62 ___ __ \_________(_)________________________________ % 0.20/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.62 % 0.20/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.62 (2023-06-19) % 0.20/0.62 % 0.20/0.62 (c) Philipp Rümmer, 2009-2023 % 0.20/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.62 Amanda Stjerna. % 0.20/0.62 Free software under BSD-3-Clause. % 0.20/0.62 % 0.20/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.62 % 0.20/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.54/0.63 Running up to 7 provers in parallel. % 0.54/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.54/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.54/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.54/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.54/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.54/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.54/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.54/0.89 Prover 2: Warning: Problem contains rationals, using incomplete axiomatisation % 1.54/0.89 Prover 4: Warning: Problem contains rationals, using incomplete axiomatisation % 1.54/0.89 Prover 3: Warning: Problem contains rationals, using incomplete axiomatisation % 1.54/0.89 Prover 5: Warning: Problem contains rationals, using incomplete axiomatisation % 1.54/0.89 Prover 6: Warning: Problem contains rationals, using incomplete axiomatisation % 1.54/0.89 Prover 0: Warning: Problem contains rationals, using incomplete axiomatisation % 1.54/0.90 Prover 1: Warning: Problem contains rationals, using incomplete axiomatisation % 1.95/0.99 Prover 4: Preprocessing ... % 1.95/1.00 Prover 1: Preprocessing ... % 2.65/1.04 Prover 6: Preprocessing ... % 2.65/1.04 Prover 0: Preprocessing ... % 3.15/1.15 Prover 5: Preprocessing ... % 3.15/1.15 Prover 3: Preprocessing ... % 3.15/1.16 Prover 2: Preprocessing ... % 6.16/1.52 Prover 6: Proving ... % 6.16/1.52 Prover 1: Constructing countermodel ... % 6.82/1.61 Prover 0: Proving ... % 6.82/1.61 Prover 4: Constructing countermodel ... % 8.83/1.93 Prover 1: gave up % 8.83/1.94 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 8.83/1.94 Prover 7: Warning: Problem contains rationals, using incomplete axiomatisation % 9.69/1.99 Prover 3: Constructing countermodel ... % 9.69/2.01 Prover 7: Preprocessing ... % 10.03/2.04 Prover 2: Proving ... % 10.61/2.15 Prover 5: Proving ... % 12.29/2.33 Prover 7: Warning: ignoring some quantifiers % 12.29/2.33 Prover 7: Constructing countermodel ... % 15.67/2.80 Prover 3: proved (2163ms) % 15.67/2.80 % 15.67/2.80 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 15.67/2.80 % 15.67/2.80 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 15.67/2.80 Prover 0: stopped % 15.67/2.80 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 15.67/2.80 Prover 5: stopped % 15.67/2.81 Prover 10: Warning: Problem contains rationals, using incomplete axiomatisation % 15.67/2.81 Prover 8: Warning: Problem contains rationals, using incomplete axiomatisation % 15.67/2.81 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 15.67/2.81 Prover 11: Warning: Problem contains rationals, using incomplete axiomatisation % 15.67/2.81 Prover 6: stopped % 15.67/2.81 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 15.67/2.82 Prover 8: Preprocessing ... % 15.67/2.82 Prover 13: Warning: Problem contains rationals, using incomplete axiomatisation % 15.67/2.83 Prover 13: Preprocessing ... % 15.67/2.83 Prover 10: Preprocessing ... % 16.16/2.86 Prover 11: Preprocessing ... % 16.36/2.91 Prover 13: Warning: ignoring some quantifiers % 16.36/2.91 Prover 8: Warning: ignoring some quantifiers % 16.36/2.92 Prover 13: Constructing countermodel ... % 16.82/2.92 Prover 8: Constructing countermodel ... % 17.24/3.06 Prover 13: gave up % 17.24/3.06 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 17.24/3.06 Prover 16: Warning: Problem contains rationals, using incomplete axiomatisation % 17.24/3.06 Prover 8: gave up % 17.24/3.07 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 17.24/3.07 Prover 19: Warning: Problem contains rationals, using incomplete axiomatisation % 17.24/3.07 Prover 10: Warning: ignoring some quantifiers % 17.24/3.08 Prover 10: Constructing countermodel ... % 18.04/3.10 Prover 19: Preprocessing ... % 18.04/3.11 Prover 16: Preprocessing ... % 18.04/3.13 Prover 11: Constructing countermodel ... % 18.95/3.22 Prover 2: stopped % 19.41/3.30 Prover 7: Found proof (size 3) % 19.41/3.30 Prover 7: proved (1360ms) % 19.41/3.30 Prover 11: stopped % 19.41/3.30 Prover 4: stopped % 19.41/3.32 Prover 10: Found proof (size 3) % 19.41/3.32 Prover 10: proved (516ms) % 19.41/3.35 Prover 16: Warning: ignoring some quantifiers % 20.01/3.36 Prover 16: Constructing countermodel ... % 20.01/3.38 Prover 16: stopped % 20.65/3.65 Prover 19: Warning: ignoring some quantifiers % 21.04/3.65 Prover 19: Constructing countermodel ... % 21.04/3.67 Prover 19: stopped % 21.04/3.67 % 21.04/3.67 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 21.04/3.67 % 21.04/3.67 % SZS output start Proof for theBenchmark % 21.04/3.67 Assumptions after simplification: % 21.04/3.67 --------------------------------- % 21.04/3.68 % 21.04/3.68 (rat_product_problem_23) % 21.04/3.71 ! [v0: $rat] : ~ (rat_$product(v0, rat_-4/5) = rat_-3/4) % 21.04/3.71 % 21.04/3.71 (input) % 22.09/3.85 ~ (rat_very_large = rat_very_small) & ~ (rat_very_large = rat_9/16) & ~ % 22.09/3.85 (rat_very_large = rat_-3/2) & ~ (rat_very_large = rat_16/15) & ~ % 22.09/3.85 (rat_very_large = rat_-4/3) & ~ (rat_very_large = rat_1/20) & ~ % 22.09/3.85 (rat_very_large = rat_3/4) & ~ (rat_very_large = rat_15/16) & ~ % 22.09/3.85 (rat_very_large = rat_3/5) & ~ (rat_very_large = rat_-1/20) & ~ % 22.09/3.85 (rat_very_large = rat_-31/20) & ~ (rat_very_large = rat_1) & ~ % 22.09/3.85 (rat_very_large = rat_-5/4) & ~ (rat_very_large = rat_16/25) & ~ % 22.09/3.85 (rat_very_large = rat_-8/5) & ~ (rat_very_large = rat_4/5) & ~ % 22.09/3.85 (rat_very_large = rat_-3/4) & ~ (rat_very_large = rat_-4/5) & ~ % 22.09/3.85 (rat_very_large = rat_0) & ~ (rat_very_small = rat_9/16) & ~ (rat_very_small % 22.09/3.85 = rat_-3/2) & ~ (rat_very_small = rat_16/15) & ~ (rat_very_small = % 22.09/3.85 rat_-4/3) & ~ (rat_very_small = rat_1/20) & ~ (rat_very_small = rat_3/4) & % 22.09/3.85 ~ (rat_very_small = rat_15/16) & ~ (rat_very_small = rat_3/5) & ~ % 22.09/3.85 (rat_very_small = rat_-1/20) & ~ (rat_very_small = rat_-31/20) & ~ % 22.09/3.85 (rat_very_small = rat_1) & ~ (rat_very_small = rat_-5/4) & ~ (rat_very_small % 22.09/3.85 = rat_16/25) & ~ (rat_very_small = rat_-8/5) & ~ (rat_very_small = % 22.09/3.85 rat_4/5) & ~ (rat_very_small = rat_-3/4) & ~ (rat_very_small = rat_-4/5) & % 22.09/3.85 ~ (rat_very_small = rat_0) & ~ (rat_9/16 = rat_-3/2) & ~ (rat_9/16 = % 22.09/3.85 rat_16/15) & ~ (rat_9/16 = rat_-4/3) & ~ (rat_9/16 = rat_1/20) & ~ % 22.09/3.85 (rat_9/16 = rat_3/4) & ~ (rat_9/16 = rat_15/16) & ~ (rat_9/16 = rat_3/5) & % 22.09/3.85 ~ (rat_9/16 = rat_-1/20) & ~ (rat_9/16 = rat_-31/20) & ~ (rat_9/16 = rat_1) % 22.09/3.85 & ~ (rat_9/16 = rat_-5/4) & ~ (rat_9/16 = rat_16/25) & ~ (rat_9/16 = % 22.09/3.85 rat_-8/5) & ~ (rat_9/16 = rat_4/5) & ~ (rat_9/16 = rat_-3/4) & ~ % 22.09/3.85 (rat_9/16 = rat_-4/5) & ~ (rat_9/16 = rat_0) & ~ (rat_-3/2 = rat_16/15) & ~ % 22.09/3.85 (rat_-3/2 = rat_-4/3) & ~ (rat_-3/2 = rat_1/20) & ~ (rat_-3/2 = rat_3/4) & % 22.09/3.85 ~ (rat_-3/2 = rat_15/16) & ~ (rat_-3/2 = rat_3/5) & ~ (rat_-3/2 = rat_-1/20) % 22.09/3.85 & ~ (rat_-3/2 = rat_-31/20) & ~ (rat_-3/2 = rat_1) & ~ (rat_-3/2 = % 22.09/3.85 rat_-5/4) & ~ (rat_-3/2 = rat_16/25) & ~ (rat_-3/2 = rat_-8/5) & ~ % 22.09/3.85 (rat_-3/2 = rat_4/5) & ~ (rat_-3/2 = rat_-3/4) & ~ (rat_-3/2 = rat_-4/5) & % 22.09/3.85 ~ (rat_-3/2 = rat_0) & ~ (rat_16/15 = rat_-4/3) & ~ (rat_16/15 = rat_1/20) & % 22.09/3.85 ~ (rat_16/15 = rat_3/4) & ~ (rat_16/15 = rat_15/16) & ~ (rat_16/15 = % 22.09/3.85 rat_3/5) & ~ (rat_16/15 = rat_-1/20) & ~ (rat_16/15 = rat_-31/20) & ~ % 22.09/3.85 (rat_16/15 = rat_1) & ~ (rat_16/15 = rat_-5/4) & ~ (rat_16/15 = rat_16/25) & % 22.09/3.85 ~ (rat_16/15 = rat_-8/5) & ~ (rat_16/15 = rat_4/5) & ~ (rat_16/15 = % 22.09/3.85 rat_-3/4) & ~ (rat_16/15 = rat_-4/5) & ~ (rat_16/15 = rat_0) & ~ % 22.09/3.85 (rat_-4/3 = rat_1/20) & ~ (rat_-4/3 = rat_3/4) & ~ (rat_-4/3 = rat_15/16) & % 22.09/3.85 ~ (rat_-4/3 = rat_3/5) & ~ (rat_-4/3 = rat_-1/20) & ~ (rat_-4/3 = % 22.09/3.85 rat_-31/20) & ~ (rat_-4/3 = rat_1) & ~ (rat_-4/3 = rat_-5/4) & ~ % 22.09/3.85 (rat_-4/3 = rat_16/25) & ~ (rat_-4/3 = rat_-8/5) & ~ (rat_-4/3 = rat_4/5) & % 22.09/3.85 ~ (rat_-4/3 = rat_-3/4) & ~ (rat_-4/3 = rat_-4/5) & ~ (rat_-4/3 = rat_0) & % 22.09/3.85 ~ (rat_1/20 = rat_3/4) & ~ (rat_1/20 = rat_15/16) & ~ (rat_1/20 = rat_3/5) & % 22.09/3.85 ~ (rat_1/20 = rat_-1/20) & ~ (rat_1/20 = rat_-31/20) & ~ (rat_1/20 = rat_1) % 22.09/3.85 & ~ (rat_1/20 = rat_-5/4) & ~ (rat_1/20 = rat_16/25) & ~ (rat_1/20 = % 22.09/3.85 rat_-8/5) & ~ (rat_1/20 = rat_4/5) & ~ (rat_1/20 = rat_-3/4) & ~ % 22.09/3.85 (rat_1/20 = rat_-4/5) & ~ (rat_1/20 = rat_0) & ~ (rat_3/4 = rat_15/16) & ~ % 22.09/3.85 (rat_3/4 = rat_3/5) & ~ (rat_3/4 = rat_-1/20) & ~ (rat_3/4 = rat_-31/20) & % 22.09/3.85 ~ (rat_3/4 = rat_1) & ~ (rat_3/4 = rat_-5/4) & ~ (rat_3/4 = rat_16/25) & ~ % 22.09/3.85 (rat_3/4 = rat_-8/5) & ~ (rat_3/4 = rat_4/5) & ~ (rat_3/4 = rat_-3/4) & ~ % 22.09/3.85 (rat_3/4 = rat_-4/5) & ~ (rat_3/4 = rat_0) & ~ (rat_15/16 = rat_3/5) & ~ % 22.09/3.85 (rat_15/16 = rat_-1/20) & ~ (rat_15/16 = rat_-31/20) & ~ (rat_15/16 = rat_1) % 22.09/3.85 & ~ (rat_15/16 = rat_-5/4) & ~ (rat_15/16 = rat_16/25) & ~ (rat_15/16 = % 22.09/3.85 rat_-8/5) & ~ (rat_15/16 = rat_4/5) & ~ (rat_15/16 = rat_-3/4) & ~ % 22.09/3.85 (rat_15/16 = rat_-4/5) & ~ (rat_15/16 = rat_0) & ~ (rat_3/5 = rat_-1/20) & % 22.09/3.85 ~ (rat_3/5 = rat_-31/20) & ~ (rat_3/5 = rat_1) & ~ (rat_3/5 = rat_-5/4) & ~ % 22.09/3.85 (rat_3/5 = rat_16/25) & ~ (rat_3/5 = rat_-8/5) & ~ (rat_3/5 = rat_4/5) & ~ % 22.09/3.85 (rat_3/5 = rat_-3/4) & ~ (rat_3/5 = rat_-4/5) & ~ (rat_3/5 = rat_0) & ~ % 22.09/3.85 (rat_-1/20 = rat_-31/20) & ~ (rat_-1/20 = rat_1) & ~ (rat_-1/20 = rat_-5/4) % 22.09/3.85 & ~ (rat_-1/20 = rat_16/25) & ~ (rat_-1/20 = rat_-8/5) & ~ (rat_-1/20 = % 22.09/3.85 rat_4/5) & ~ (rat_-1/20 = rat_-3/4) & ~ (rat_-1/20 = rat_-4/5) & ~ % 22.09/3.85 (rat_-1/20 = rat_0) & ~ (rat_-31/20 = rat_1) & ~ (rat_-31/20 = rat_-5/4) & % 22.09/3.85 ~ (rat_-31/20 = rat_16/25) & ~ (rat_-31/20 = rat_-8/5) & ~ (rat_-31/20 = % 22.09/3.85 rat_4/5) & ~ (rat_-31/20 = rat_-3/4) & ~ (rat_-31/20 = rat_-4/5) & ~ % 22.09/3.85 (rat_-31/20 = rat_0) & ~ (rat_1 = rat_-5/4) & ~ (rat_1 = rat_16/25) & ~ % 22.09/3.85 (rat_1 = rat_-8/5) & ~ (rat_1 = rat_4/5) & ~ (rat_1 = rat_-3/4) & ~ (rat_1 % 22.09/3.85 = rat_-4/5) & ~ (rat_1 = rat_0) & ~ (rat_-5/4 = rat_16/25) & ~ (rat_-5/4 % 22.09/3.85 = rat_-8/5) & ~ (rat_-5/4 = rat_4/5) & ~ (rat_-5/4 = rat_-3/4) & ~ % 22.09/3.85 (rat_-5/4 = rat_-4/5) & ~ (rat_-5/4 = rat_0) & ~ (rat_16/25 = rat_-8/5) & ~ % 22.09/3.85 (rat_16/25 = rat_4/5) & ~ (rat_16/25 = rat_-3/4) & ~ (rat_16/25 = rat_-4/5) % 22.09/3.85 & ~ (rat_16/25 = rat_0) & ~ (rat_-8/5 = rat_4/5) & ~ (rat_-8/5 = rat_-3/4) % 22.09/3.85 & ~ (rat_-8/5 = rat_-4/5) & ~ (rat_-8/5 = rat_0) & ~ (rat_4/5 = rat_-3/4) & % 22.09/3.85 ~ (rat_4/5 = rat_-4/5) & ~ (rat_4/5 = rat_0) & ~ (rat_-3/4 = rat_-4/5) & ~ % 22.09/3.85 (rat_-3/4 = rat_0) & ~ (rat_-4/5 = rat_0) & rat_$floor(rat_9/16) = rat_0 & % 22.09/3.85 rat_$floor(rat_16/15) = rat_1 & rat_$floor(rat_1/20) = rat_0 & % 22.09/3.85 rat_$floor(rat_3/4) = rat_0 & rat_$floor(rat_15/16) = rat_0 & % 22.09/3.85 rat_$floor(rat_3/5) = rat_0 & rat_$floor(rat_1) = rat_1 & % 22.09/3.85 rat_$floor(rat_16/25) = rat_0 & rat_$floor(rat_4/5) = rat_0 & % 22.09/3.85 rat_$floor(rat_0) = rat_0 & rat_$ceiling(rat_9/16) = rat_1 & % 22.09/3.85 rat_$ceiling(rat_1/20) = rat_1 & rat_$ceiling(rat_3/4) = rat_1 & % 22.09/3.85 rat_$ceiling(rat_15/16) = rat_1 & rat_$ceiling(rat_3/5) = rat_1 & % 22.09/3.85 rat_$ceiling(rat_-1/20) = rat_0 & rat_$ceiling(rat_1) = rat_1 & % 22.09/3.85 rat_$ceiling(rat_16/25) = rat_1 & rat_$ceiling(rat_4/5) = rat_1 & % 22.09/3.85 rat_$ceiling(rat_-3/4) = rat_0 & rat_$ceiling(rat_-4/5) = rat_0 & % 22.09/3.85 rat_$ceiling(rat_0) = rat_0 & rat_$truncate(rat_9/16) = rat_0 & % 22.09/3.85 rat_$truncate(rat_16/15) = rat_1 & rat_$truncate(rat_1/20) = rat_0 & % 22.09/3.85 rat_$truncate(rat_3/4) = rat_0 & rat_$truncate(rat_15/16) = rat_0 & % 22.09/3.85 rat_$truncate(rat_3/5) = rat_0 & rat_$truncate(rat_-1/20) = rat_0 & % 22.09/3.85 rat_$truncate(rat_1) = rat_1 & rat_$truncate(rat_16/25) = rat_0 & % 22.09/3.85 rat_$truncate(rat_4/5) = rat_0 & rat_$truncate(rat_-3/4) = rat_0 & % 22.09/3.85 rat_$truncate(rat_-4/5) = rat_0 & rat_$truncate(rat_0) = rat_0 & % 22.09/3.85 rat_$round(rat_9/16) = rat_1 & rat_$round(rat_16/15) = rat_1 & % 22.09/3.85 rat_$round(rat_1/20) = rat_0 & rat_$round(rat_3/4) = rat_1 & % 22.09/3.85 rat_$round(rat_15/16) = rat_1 & rat_$round(rat_3/5) = rat_1 & % 22.09/3.85 rat_$round(rat_-1/20) = rat_0 & rat_$round(rat_1) = rat_1 & % 22.09/3.85 rat_$round(rat_16/25) = rat_1 & rat_$round(rat_4/5) = rat_1 & % 22.09/3.85 rat_$round(rat_0) = rat_0 & rat_$to_int(rat_9/16) = 0 & rat_$to_int(rat_-3/2) % 22.09/3.85 = -2 & rat_$to_int(rat_16/15) = 1 & rat_$to_int(rat_-4/3) = -2 & % 22.09/3.85 rat_$to_int(rat_1/20) = 0 & rat_$to_int(rat_3/4) = 0 & rat_$to_int(rat_15/16) % 22.09/3.85 = 0 & rat_$to_int(rat_3/5) = 0 & rat_$to_int(rat_-1/20) = -1 & % 22.09/3.85 rat_$to_int(rat_-31/20) = -2 & rat_$to_int(rat_1) = 1 & rat_$to_int(rat_-5/4) % 22.09/3.85 = -2 & rat_$to_int(rat_16/25) = 0 & rat_$to_int(rat_-8/5) = -2 & % 22.09/3.85 rat_$to_int(rat_4/5) = 0 & rat_$to_int(rat_-3/4) = -1 & rat_$to_int(rat_-4/5) % 22.09/3.85 = -1 & rat_$to_int(rat_0) = 0 & rat_$to_rat(rat_9/16) = rat_9/16 & % 22.09/3.85 rat_$to_rat(rat_-3/2) = rat_-3/2 & rat_$to_rat(rat_16/15) = rat_16/15 & % 22.09/3.85 rat_$to_rat(rat_-4/3) = rat_-4/3 & rat_$to_rat(rat_1/20) = rat_1/20 & % 22.09/3.85 rat_$to_rat(rat_3/4) = rat_3/4 & rat_$to_rat(rat_15/16) = rat_15/16 & % 22.09/3.85 rat_$to_rat(rat_3/5) = rat_3/5 & rat_$to_rat(rat_-1/20) = rat_-1/20 & % 22.09/3.85 rat_$to_rat(rat_-31/20) = rat_-31/20 & rat_$to_rat(rat_1) = rat_1 & % 22.09/3.85 rat_$to_rat(rat_-5/4) = rat_-5/4 & rat_$to_rat(rat_16/25) = rat_16/25 & % 22.09/3.85 rat_$to_rat(rat_-8/5) = rat_-8/5 & rat_$to_rat(rat_4/5) = rat_4/5 & % 22.09/3.85 rat_$to_rat(rat_-3/4) = rat_-3/4 & rat_$to_rat(rat_-4/5) = rat_-4/5 & % 22.09/3.85 rat_$to_rat(rat_0) = rat_0 & rat_$to_real(rat_9/16) = real_9/16 & % 22.09/3.85 rat_$to_real(rat_-3/2) = real_-3/2 & rat_$to_real(rat_16/15) = real_16/15 & % 22.09/3.85 rat_$to_real(rat_-4/3) = real_-4/3 & rat_$to_real(rat_1/20) = real_1/20 & % 22.09/3.85 rat_$to_real(rat_3/4) = real_3/4 & rat_$to_real(rat_15/16) = real_15/16 & % 22.09/3.85 rat_$to_real(rat_3/5) = real_3/5 & rat_$to_real(rat_-1/20) = real_-1/20 & % 22.09/3.85 rat_$to_real(rat_-31/20) = real_-31/20 & rat_$to_real(rat_1) = real_1 & % 22.09/3.85 rat_$to_real(rat_-5/4) = real_-5/4 & rat_$to_real(rat_16/25) = real_16/25 & % 22.09/3.85 rat_$to_real(rat_-8/5) = real_-8/5 & rat_$to_real(rat_4/5) = real_4/5 & % 22.09/3.85 rat_$to_real(rat_-3/4) = real_-3/4 & rat_$to_real(rat_-4/5) = real_-4/5 & % 22.09/3.85 rat_$to_real(rat_0) = real_0 & int_$to_rat(1) = rat_1 & int_$to_rat(0) = rat_0 % 22.09/3.85 & rat_$quotient(rat_9/16, rat_9/16) = rat_1 & rat_$quotient(rat_9/16, rat_3/4) % 22.09/3.85 = rat_3/4 & rat_$quotient(rat_9/16, rat_15/16) = rat_3/5 & % 22.09/3.85 rat_$quotient(rat_9/16, rat_3/5) = rat_15/16 & rat_$quotient(rat_9/16, rat_1) % 22.09/3.85 = rat_9/16 & rat_$quotient(rat_9/16, rat_-3/4) = rat_-3/4 & % 22.09/3.85 rat_$quotient(rat_-3/2, rat_-3/2) = rat_1 & rat_$quotient(rat_-3/2, rat_15/16) % 22.09/3.85 = rat_-8/5 & rat_$quotient(rat_-3/2, rat_1) = rat_-3/2 & % 22.09/3.85 rat_$quotient(rat_-3/2, rat_-8/5) = rat_15/16 & rat_$quotient(rat_16/15, % 22.09/3.85 rat_16/15) = rat_1 & rat_$quotient(rat_16/15, rat_-4/3) = rat_-4/5 & % 22.09/3.85 rat_$quotient(rat_16/15, rat_1) = rat_16/15 & rat_$quotient(rat_16/15, % 22.09/3.85 rat_-4/5) = rat_-4/3 & rat_$quotient(rat_-4/3, rat_16/15) = rat_-5/4 & % 22.09/3.85 rat_$quotient(rat_-4/3, rat_-4/3) = rat_1 & rat_$quotient(rat_-4/3, rat_1) = % 22.09/3.85 rat_-4/3 & rat_$quotient(rat_-4/3, rat_-5/4) = rat_16/15 & % 22.09/3.85 rat_$quotient(rat_1/20, rat_1/20) = rat_1 & rat_$quotient(rat_1/20, rat_1) = % 22.09/3.85 rat_1/20 & rat_$quotient(rat_3/4, rat_3/4) = rat_1 & rat_$quotient(rat_3/4, % 22.09/3.85 rat_15/16) = rat_4/5 & rat_$quotient(rat_3/4, rat_1) = rat_3/4 & % 22.09/3.85 rat_$quotient(rat_3/4, rat_4/5) = rat_15/16 & rat_$quotient(rat_15/16, % 22.09/3.85 rat_15/16) = rat_1 & rat_$quotient(rat_15/16, rat_1) = rat_15/16 & % 22.09/3.85 rat_$quotient(rat_15/16, rat_-5/4) = rat_-3/4 & rat_$quotient(rat_15/16, % 22.09/3.85 rat_-3/4) = rat_-5/4 & rat_$quotient(rat_3/5, rat_9/16) = rat_16/15 & % 22.09/3.85 rat_$quotient(rat_3/5, rat_16/15) = rat_9/16 & rat_$quotient(rat_3/5, rat_3/4) % 22.09/3.85 = rat_4/5 & rat_$quotient(rat_3/5, rat_15/16) = rat_16/25 & % 22.09/3.85 rat_$quotient(rat_3/5, rat_3/5) = rat_1 & rat_$quotient(rat_3/5, rat_1) = % 22.09/3.85 rat_3/5 & rat_$quotient(rat_3/5, rat_16/25) = rat_15/16 & % 22.09/3.85 rat_$quotient(rat_3/5, rat_4/5) = rat_3/4 & rat_$quotient(rat_3/5, rat_-3/4) = % 22.09/3.85 rat_-4/5 & rat_$quotient(rat_3/5, rat_-4/5) = rat_-3/4 & % 22.09/3.85 rat_$quotient(rat_-1/20, rat_-1/20) = rat_1 & rat_$quotient(rat_-1/20, rat_1) % 22.09/3.85 = rat_-1/20 & rat_$quotient(rat_-31/20, rat_-31/20) = rat_1 & % 22.09/3.85 rat_$quotient(rat_-31/20, rat_1) = rat_-31/20 & rat_$quotient(rat_1, % 22.09/3.85 rat_16/15) = rat_15/16 & rat_$quotient(rat_1, rat_-4/3) = rat_-3/4 & % 22.09/3.85 rat_$quotient(rat_1, rat_15/16) = rat_16/15 & rat_$quotient(rat_1, rat_1) = % 22.09/3.85 rat_1 & rat_$quotient(rat_1, rat_-5/4) = rat_-4/5 & rat_$quotient(rat_1, % 22.09/3.85 rat_-3/4) = rat_-4/3 & rat_$quotient(rat_1, rat_-4/5) = rat_-5/4 & % 22.09/3.85 rat_$quotient(rat_-5/4, rat_-4/3) = rat_15/16 & rat_$quotient(rat_-5/4, % 22.09/3.85 rat_15/16) = rat_-4/3 & rat_$quotient(rat_-5/4, rat_1) = rat_-5/4 & % 22.09/3.85 rat_$quotient(rat_-5/4, rat_-5/4) = rat_1 & rat_$quotient(rat_16/25, % 22.09/3.85 rat_16/15) = rat_3/5 & rat_$quotient(rat_16/25, rat_3/5) = rat_16/15 & % 22.09/3.85 rat_$quotient(rat_16/25, rat_1) = rat_16/25 & rat_$quotient(rat_16/25, % 22.09/3.85 rat_16/25) = rat_1 & rat_$quotient(rat_16/25, rat_4/5) = rat_4/5 & % 22.09/3.85 rat_$quotient(rat_16/25, rat_-4/5) = rat_-4/5 & rat_$quotient(rat_-8/5, % 22.09/3.85 rat_-3/2) = rat_16/15 & rat_$quotient(rat_-8/5, rat_16/15) = rat_-3/2 & % 22.09/3.85 rat_$quotient(rat_-8/5, rat_1) = rat_-8/5 & rat_$quotient(rat_-8/5, rat_-8/5) % 22.09/3.85 = rat_1 & rat_$quotient(rat_4/5, rat_16/15) = rat_3/4 & rat_$quotient(rat_4/5, % 22.09/3.85 rat_3/4) = rat_16/15 & rat_$quotient(rat_4/5, rat_1) = rat_4/5 & % 22.09/3.85 rat_$quotient(rat_4/5, rat_4/5) = rat_1 & rat_$quotient(rat_-3/4, rat_9/16) = % 22.09/3.85 rat_-4/3 & rat_$quotient(rat_-3/4, rat_-4/3) = rat_9/16 & % 22.09/3.85 rat_$quotient(rat_-3/4, rat_15/16) = rat_-4/5 & rat_$quotient(rat_-3/4, % 22.09/3.85 rat_3/5) = rat_-5/4 & rat_$quotient(rat_-3/4, rat_1) = rat_-3/4 & % 22.09/3.85 rat_$quotient(rat_-3/4, rat_-5/4) = rat_3/5 & rat_$quotient(rat_-3/4, % 22.09/3.85 rat_-3/4) = rat_1 & rat_$quotient(rat_-3/4, rat_-4/5) = rat_15/16 & % 22.09/3.85 rat_$quotient(rat_-4/5, rat_16/15) = rat_-3/4 & rat_$quotient(rat_-4/5, % 22.09/3.85 rat_-4/3) = rat_3/5 & rat_$quotient(rat_-4/5, rat_3/5) = rat_-4/3 & % 22.09/3.85 rat_$quotient(rat_-4/5, rat_1) = rat_-4/5 & rat_$quotient(rat_-4/5, rat_-5/4) % 22.09/3.85 = rat_16/25 & rat_$quotient(rat_-4/5, rat_16/25) = rat_-5/4 & % 22.09/3.85 rat_$quotient(rat_-4/5, rat_-3/4) = rat_16/15 & rat_$quotient(rat_-4/5, % 22.09/3.85 rat_-4/5) = rat_1 & rat_$quotient(rat_0, rat_9/16) = rat_0 & % 22.09/3.85 rat_$quotient(rat_0, rat_-3/2) = rat_0 & rat_$quotient(rat_0, rat_16/15) = % 22.09/3.85 rat_0 & rat_$quotient(rat_0, rat_-4/3) = rat_0 & rat_$quotient(rat_0, % 22.09/3.85 rat_1/20) = rat_0 & rat_$quotient(rat_0, rat_3/4) = rat_0 & % 22.09/3.85 rat_$quotient(rat_0, rat_15/16) = rat_0 & rat_$quotient(rat_0, rat_3/5) = % 22.09/3.85 rat_0 & rat_$quotient(rat_0, rat_-1/20) = rat_0 & rat_$quotient(rat_0, % 22.09/3.85 rat_-31/20) = rat_0 & rat_$quotient(rat_0, rat_1) = rat_0 & % 22.09/3.85 rat_$quotient(rat_0, rat_-5/4) = rat_0 & rat_$quotient(rat_0, rat_16/25) = % 22.09/3.85 rat_0 & rat_$quotient(rat_0, rat_-8/5) = rat_0 & rat_$quotient(rat_0, rat_4/5) % 22.09/3.85 = rat_0 & rat_$quotient(rat_0, rat_-3/4) = rat_0 & rat_$quotient(rat_0, % 22.09/3.85 rat_-4/5) = rat_0 & rat_$difference(rat_9/16, rat_9/16) = rat_0 & % 22.09/3.85 rat_$difference(rat_9/16, rat_0) = rat_9/16 & rat_$difference(rat_-3/2, % 22.09/3.85 rat_-3/2) = rat_0 & rat_$difference(rat_-3/2, rat_1/20) = rat_-31/20 & % 22.09/3.85 rat_$difference(rat_-3/2, rat_-31/20) = rat_1/20 & rat_$difference(rat_-3/2, % 22.09/3.85 rat_-3/4) = rat_-3/4 & rat_$difference(rat_-3/2, rat_0) = rat_-3/2 & % 22.09/3.85 rat_$difference(rat_16/15, rat_16/15) = rat_0 & rat_$difference(rat_16/15, % 22.09/3.85 rat_0) = rat_16/15 & rat_$difference(rat_-4/3, rat_-4/3) = rat_0 & % 22.09/3.85 rat_$difference(rat_-4/3, rat_0) = rat_-4/3 & rat_$difference(rat_1/20, % 22.09/3.85 rat_1/20) = rat_0 & rat_$difference(rat_1/20, rat_4/5) = rat_-3/4 & % 22.09/3.85 rat_$difference(rat_1/20, rat_-3/4) = rat_4/5 & rat_$difference(rat_1/20, % 22.09/3.85 rat_0) = rat_1/20 & rat_$difference(rat_3/4, rat_3/4) = rat_0 & % 22.09/3.85 rat_$difference(rat_3/4, rat_-1/20) = rat_4/5 & rat_$difference(rat_3/4, % 22.09/3.85 rat_4/5) = rat_-1/20 & rat_$difference(rat_3/4, rat_0) = rat_3/4 & % 22.09/3.85 rat_$difference(rat_15/16, rat_15/16) = rat_0 & rat_$difference(rat_15/16, % 22.09/3.85 rat_0) = rat_15/16 & rat_$difference(rat_3/5, rat_3/5) = rat_0 & % 22.09/3.85 rat_$difference(rat_3/5, rat_0) = rat_3/5 & rat_$difference(rat_-1/20, % 22.09/3.85 rat_3/4) = rat_-4/5 & rat_$difference(rat_-1/20, rat_-1/20) = rat_0 & % 22.09/3.85 rat_$difference(rat_-1/20, rat_-4/5) = rat_3/4 & rat_$difference(rat_-1/20, % 22.09/3.85 rat_0) = rat_-1/20 & rat_$difference(rat_-31/20, rat_-3/2) = rat_-1/20 & % 22.09/3.85 rat_$difference(rat_-31/20, rat_1/20) = rat_-8/5 & rat_$difference(rat_-31/20, % 22.09/3.85 rat_-1/20) = rat_-3/2 & rat_$difference(rat_-31/20, rat_-31/20) = rat_0 & % 22.09/3.85 rat_$difference(rat_-31/20, rat_-8/5) = rat_1/20 & rat_$difference(rat_-31/20, % 22.09/3.85 rat_-3/4) = rat_-4/5 & rat_$difference(rat_-31/20, rat_-4/5) = rat_-3/4 & % 22.09/3.85 rat_$difference(rat_-31/20, rat_0) = rat_-31/20 & rat_$difference(rat_1, % 22.09/3.85 rat_1) = rat_0 & rat_$difference(rat_1, rat_0) = rat_1 & % 22.09/3.85 rat_$difference(rat_-5/4, rat_-5/4) = rat_0 & rat_$difference(rat_-5/4, rat_0) % 22.09/3.85 = rat_-5/4 & rat_$difference(rat_16/25, rat_16/25) = rat_0 & % 22.09/3.85 rat_$difference(rat_16/25, rat_0) = rat_16/25 & rat_$difference(rat_-8/5, % 22.09/3.85 rat_-1/20) = rat_-31/20 & rat_$difference(rat_-8/5, rat_-31/20) = rat_-1/20 % 22.09/3.85 & rat_$difference(rat_-8/5, rat_-8/5) = rat_0 & rat_$difference(rat_-8/5, % 22.09/3.85 rat_-4/5) = rat_-4/5 & rat_$difference(rat_-8/5, rat_0) = rat_-8/5 & % 22.09/3.85 rat_$difference(rat_4/5, rat_1/20) = rat_3/4 & rat_$difference(rat_4/5, % 22.09/3.85 rat_3/4) = rat_1/20 & rat_$difference(rat_4/5, rat_4/5) = rat_0 & % 22.09/3.85 rat_$difference(rat_4/5, rat_0) = rat_4/5 & rat_$difference(rat_-3/4, % 22.09/3.85 rat_-3/2) = rat_3/4 & rat_$difference(rat_-3/4, rat_1/20) = rat_-4/5 & % 22.09/3.85 rat_$difference(rat_-3/4, rat_3/4) = rat_-3/2 & rat_$difference(rat_-3/4, % 22.09/3.85 rat_-31/20) = rat_4/5 & rat_$difference(rat_-3/4, rat_4/5) = rat_-31/20 & % 22.09/3.85 rat_$difference(rat_-3/4, rat_-3/4) = rat_0 & rat_$difference(rat_-3/4, % 22.09/3.85 rat_-4/5) = rat_1/20 & rat_$difference(rat_-3/4, rat_0) = rat_-3/4 & % 22.09/3.85 rat_$difference(rat_-4/5, rat_3/4) = rat_-31/20 & rat_$difference(rat_-4/5, % 22.09/3.85 rat_-1/20) = rat_-3/4 & rat_$difference(rat_-4/5, rat_-31/20) = rat_3/4 & % 22.09/3.85 rat_$difference(rat_-4/5, rat_-8/5) = rat_4/5 & rat_$difference(rat_-4/5, % 22.09/3.85 rat_4/5) = rat_-8/5 & rat_$difference(rat_-4/5, rat_-3/4) = rat_-1/20 & % 22.09/3.85 rat_$difference(rat_-4/5, rat_-4/5) = rat_0 & rat_$difference(rat_-4/5, rat_0) % 22.09/3.85 = rat_-4/5 & rat_$difference(rat_0, rat_1/20) = rat_-1/20 & % 22.09/3.85 rat_$difference(rat_0, rat_3/4) = rat_-3/4 & rat_$difference(rat_0, rat_-1/20) % 22.09/3.85 = rat_1/20 & rat_$difference(rat_0, rat_4/5) = rat_-4/5 & % 22.09/3.85 rat_$difference(rat_0, rat_-3/4) = rat_3/4 & rat_$difference(rat_0, rat_-4/5) % 22.09/3.85 = rat_4/5 & rat_$difference(rat_0, rat_0) = rat_0 & rat_$uminus(rat_1/20) = % 22.09/3.85 rat_-1/20 & rat_$uminus(rat_3/4) = rat_-3/4 & rat_$uminus(rat_-1/20) = % 22.09/3.85 rat_1/20 & rat_$uminus(rat_4/5) = rat_-4/5 & rat_$uminus(rat_-3/4) = rat_3/4 & % 22.09/3.85 rat_$uminus(rat_-4/5) = rat_4/5 & rat_$uminus(rat_0) = rat_0 & % 22.09/3.85 rat_$sum(rat_9/16, rat_0) = rat_9/16 & rat_$sum(rat_-3/2, rat_3/4) = rat_-3/4 % 22.09/3.85 & rat_$sum(rat_-3/2, rat_-1/20) = rat_-31/20 & rat_$sum(rat_-3/2, rat_0) = % 22.09/3.85 rat_-3/2 & rat_$sum(rat_16/15, rat_0) = rat_16/15 & rat_$sum(rat_-4/3, rat_0) % 22.09/3.85 = rat_-4/3 & rat_$sum(rat_1/20, rat_3/4) = rat_4/5 & rat_$sum(rat_1/20, % 22.09/3.85 rat_-1/20) = rat_0 & rat_$sum(rat_1/20, rat_-31/20) = rat_-3/2 & % 22.09/3.85 rat_$sum(rat_1/20, rat_-8/5) = rat_-31/20 & rat_$sum(rat_1/20, rat_-4/5) = % 22.09/3.85 rat_-3/4 & rat_$sum(rat_1/20, rat_0) = rat_1/20 & rat_$sum(rat_3/4, rat_-3/2) % 22.09/3.85 = rat_-3/4 & rat_$sum(rat_3/4, rat_1/20) = rat_4/5 & rat_$sum(rat_3/4, % 22.09/3.85 rat_-31/20) = rat_-4/5 & rat_$sum(rat_3/4, rat_-3/4) = rat_0 & % 22.09/3.85 rat_$sum(rat_3/4, rat_-4/5) = rat_-1/20 & rat_$sum(rat_3/4, rat_0) = rat_3/4 & % 22.09/3.85 rat_$sum(rat_15/16, rat_0) = rat_15/16 & rat_$sum(rat_3/5, rat_0) = rat_3/5 & % 22.09/3.85 rat_$sum(rat_-1/20, rat_-3/2) = rat_-31/20 & rat_$sum(rat_-1/20, rat_1/20) = % 22.09/3.85 rat_0 & rat_$sum(rat_-1/20, rat_-31/20) = rat_-8/5 & rat_$sum(rat_-1/20, % 22.09/3.85 rat_4/5) = rat_3/4 & rat_$sum(rat_-1/20, rat_-3/4) = rat_-4/5 & % 22.09/3.85 rat_$sum(rat_-1/20, rat_0) = rat_-1/20 & rat_$sum(rat_-31/20, rat_1/20) = % 22.09/3.85 rat_-3/2 & rat_$sum(rat_-31/20, rat_3/4) = rat_-4/5 & rat_$sum(rat_-31/20, % 22.09/3.85 rat_-1/20) = rat_-8/5 & rat_$sum(rat_-31/20, rat_4/5) = rat_-3/4 & % 22.09/3.85 rat_$sum(rat_-31/20, rat_0) = rat_-31/20 & rat_$sum(rat_1, rat_0) = rat_1 & % 22.09/3.85 rat_$sum(rat_-5/4, rat_0) = rat_-5/4 & rat_$sum(rat_16/25, rat_0) = rat_16/25 % 22.09/3.85 & rat_$sum(rat_-8/5, rat_1/20) = rat_-31/20 & rat_$sum(rat_-8/5, rat_4/5) = % 22.09/3.85 rat_-4/5 & rat_$sum(rat_-8/5, rat_0) = rat_-8/5 & rat_$sum(rat_4/5, rat_-1/20) % 22.09/3.85 = rat_3/4 & rat_$sum(rat_4/5, rat_-31/20) = rat_-3/4 & rat_$sum(rat_4/5, % 22.09/3.85 rat_-8/5) = rat_-4/5 & rat_$sum(rat_4/5, rat_-3/4) = rat_1/20 & % 22.09/3.85 rat_$sum(rat_4/5, rat_-4/5) = rat_0 & rat_$sum(rat_4/5, rat_0) = rat_4/5 & % 22.09/3.85 rat_$sum(rat_-3/4, rat_3/4) = rat_0 & rat_$sum(rat_-3/4, rat_-1/20) = rat_-4/5 % 22.09/3.85 & rat_$sum(rat_-3/4, rat_4/5) = rat_1/20 & rat_$sum(rat_-3/4, rat_-3/4) = % 22.09/3.85 rat_-3/2 & rat_$sum(rat_-3/4, rat_-4/5) = rat_-31/20 & rat_$sum(rat_-3/4, % 22.09/3.85 rat_0) = rat_-3/4 & rat_$sum(rat_-4/5, rat_1/20) = rat_-3/4 & % 22.09/3.85 rat_$sum(rat_-4/5, rat_3/4) = rat_-1/20 & rat_$sum(rat_-4/5, rat_4/5) = rat_0 % 22.09/3.85 & rat_$sum(rat_-4/5, rat_-3/4) = rat_-31/20 & rat_$sum(rat_-4/5, rat_-4/5) = % 22.09/3.85 rat_-8/5 & rat_$sum(rat_-4/5, rat_0) = rat_-4/5 & rat_$sum(rat_0, rat_9/16) = % 22.09/3.85 rat_9/16 & rat_$sum(rat_0, rat_-3/2) = rat_-3/2 & rat_$sum(rat_0, rat_16/15) = % 22.09/3.85 rat_16/15 & rat_$sum(rat_0, rat_-4/3) = rat_-4/3 & rat_$sum(rat_0, rat_1/20) = % 22.09/3.85 rat_1/20 & rat_$sum(rat_0, rat_3/4) = rat_3/4 & rat_$sum(rat_0, rat_15/16) = % 22.09/3.85 rat_15/16 & rat_$sum(rat_0, rat_3/5) = rat_3/5 & rat_$sum(rat_0, rat_-1/20) = % 22.09/3.85 rat_-1/20 & rat_$sum(rat_0, rat_-31/20) = rat_-31/20 & rat_$sum(rat_0, rat_1) % 22.09/3.85 = rat_1 & rat_$sum(rat_0, rat_-5/4) = rat_-5/4 & rat_$sum(rat_0, rat_16/25) = % 22.09/3.85 rat_16/25 & rat_$sum(rat_0, rat_-8/5) = rat_-8/5 & rat_$sum(rat_0, rat_4/5) = % 22.09/3.85 rat_4/5 & rat_$sum(rat_0, rat_-3/4) = rat_-3/4 & rat_$sum(rat_0, rat_-4/5) = % 22.09/3.85 rat_-4/5 & rat_$sum(rat_0, rat_0) = rat_0 & rat_$product(rat_9/16, rat_16/15) % 22.09/3.85 = rat_3/5 & rat_$product(rat_9/16, rat_-4/3) = rat_-3/4 & % 22.09/3.85 rat_$product(rat_9/16, rat_1) = rat_9/16 & rat_$product(rat_9/16, rat_0) = % 22.09/3.85 rat_0 & rat_$product(rat_-3/2, rat_16/15) = rat_-8/5 & rat_$product(rat_-3/2, % 22.09/3.85 rat_1) = rat_-3/2 & rat_$product(rat_-3/2, rat_0) = rat_0 & % 22.09/3.85 rat_$product(rat_16/15, rat_9/16) = rat_3/5 & rat_$product(rat_16/15, % 22.09/3.85 rat_-3/2) = rat_-8/5 & rat_$product(rat_16/15, rat_3/4) = rat_4/5 & % 22.09/3.85 rat_$product(rat_16/15, rat_15/16) = rat_1 & rat_$product(rat_16/15, rat_3/5) % 22.09/3.85 = rat_16/25 & rat_$product(rat_16/15, rat_1) = rat_16/15 & % 22.09/3.85 rat_$product(rat_16/15, rat_-5/4) = rat_-4/3 & rat_$product(rat_16/15, % 22.09/3.85 rat_-3/4) = rat_-4/5 & rat_$product(rat_16/15, rat_0) = rat_0 & % 22.09/3.85 rat_$product(rat_-4/3, rat_9/16) = rat_-3/4 & rat_$product(rat_-4/3, % 22.09/3.85 rat_15/16) = rat_-5/4 & rat_$product(rat_-4/3, rat_3/5) = rat_-4/5 & % 22.09/3.85 rat_$product(rat_-4/3, rat_1) = rat_-4/3 & rat_$product(rat_-4/3, rat_-3/4) = % 22.09/3.85 rat_1 & rat_$product(rat_-4/3, rat_-4/5) = rat_16/15 & rat_$product(rat_-4/3, % 22.09/3.85 rat_0) = rat_0 & rat_$product(rat_1/20, rat_1) = rat_1/20 & % 22.09/3.85 rat_$product(rat_1/20, rat_0) = rat_0 & rat_$product(rat_3/4, rat_16/15) = % 22.09/3.85 rat_4/5 & rat_$product(rat_3/4, rat_3/4) = rat_9/16 & rat_$product(rat_3/4, % 22.09/3.85 rat_1) = rat_3/4 & rat_$product(rat_3/4, rat_4/5) = rat_3/5 & % 22.09/3.85 rat_$product(rat_3/4, rat_0) = rat_0 & rat_$product(rat_15/16, rat_16/15) = % 22.09/3.85 rat_1 & rat_$product(rat_15/16, rat_-4/3) = rat_-5/4 & rat_$product(rat_15/16, % 22.09/3.85 rat_3/5) = rat_9/16 & rat_$product(rat_15/16, rat_1) = rat_15/16 & % 22.09/3.85 rat_$product(rat_15/16, rat_16/25) = rat_3/5 & rat_$product(rat_15/16, % 22.09/3.85 rat_-8/5) = rat_-3/2 & rat_$product(rat_15/16, rat_4/5) = rat_3/4 & % 22.09/3.85 rat_$product(rat_15/16, rat_-4/5) = rat_-3/4 & rat_$product(rat_15/16, rat_0) % 22.09/3.85 = rat_0 & rat_$product(rat_3/5, rat_16/15) = rat_16/25 & rat_$product(rat_3/5, % 22.09/3.85 rat_-4/3) = rat_-4/5 & rat_$product(rat_3/5, rat_15/16) = rat_9/16 & % 22.09/3.85 rat_$product(rat_3/5, rat_1) = rat_3/5 & rat_$product(rat_3/5, rat_-5/4) = % 22.09/3.85 rat_-3/4 & rat_$product(rat_3/5, rat_0) = rat_0 & rat_$product(rat_-1/20, % 22.09/3.85 rat_1) = rat_-1/20 & rat_$product(rat_-1/20, rat_0) = rat_0 & % 22.09/3.85 rat_$product(rat_-31/20, rat_1) = rat_-31/20 & rat_$product(rat_-31/20, rat_0) % 22.09/3.85 = rat_0 & rat_$product(rat_1, rat_9/16) = rat_9/16 & rat_$product(rat_1, % 22.09/3.85 rat_-3/2) = rat_-3/2 & rat_$product(rat_1, rat_16/15) = rat_16/15 & % 22.09/3.85 rat_$product(rat_1, rat_-4/3) = rat_-4/3 & rat_$product(rat_1, rat_1/20) = % 22.09/3.85 rat_1/20 & rat_$product(rat_1, rat_3/4) = rat_3/4 & rat_$product(rat_1, % 22.09/3.85 rat_15/16) = rat_15/16 & rat_$product(rat_1, rat_3/5) = rat_3/5 & % 22.09/3.85 rat_$product(rat_1, rat_-1/20) = rat_-1/20 & rat_$product(rat_1, rat_-31/20) = % 22.09/3.85 rat_-31/20 & rat_$product(rat_1, rat_1) = rat_1 & rat_$product(rat_1, % 22.09/3.85 rat_-5/4) = rat_-5/4 & rat_$product(rat_1, rat_16/25) = rat_16/25 & % 22.09/3.85 rat_$product(rat_1, rat_-8/5) = rat_-8/5 & rat_$product(rat_1, rat_4/5) = % 22.09/3.85 rat_4/5 & rat_$product(rat_1, rat_-3/4) = rat_-3/4 & rat_$product(rat_1, % 22.09/3.85 rat_-4/5) = rat_-4/5 & rat_$product(rat_1, rat_0) = rat_0 & % 22.09/3.85 rat_$product(rat_-5/4, rat_16/15) = rat_-4/3 & rat_$product(rat_-5/4, rat_3/5) % 22.09/3.85 = rat_-3/4 & rat_$product(rat_-5/4, rat_1) = rat_-5/4 & rat_$product(rat_-5/4, % 22.09/3.85 rat_16/25) = rat_-4/5 & rat_$product(rat_-5/4, rat_-3/4) = rat_15/16 & % 22.09/3.85 rat_$product(rat_-5/4, rat_-4/5) = rat_1 & rat_$product(rat_-5/4, rat_0) = % 22.09/3.85 rat_0 & rat_$product(rat_16/25, rat_15/16) = rat_3/5 & rat_$product(rat_16/25, % 22.09/3.85 rat_1) = rat_16/25 & rat_$product(rat_16/25, rat_-5/4) = rat_-4/5 & % 22.09/3.85 rat_$product(rat_16/25, rat_0) = rat_0 & rat_$product(rat_-8/5, rat_15/16) = % 22.09/3.85 rat_-3/2 & rat_$product(rat_-8/5, rat_1) = rat_-8/5 & rat_$product(rat_-8/5, % 22.09/3.85 rat_0) = rat_0 & rat_$product(rat_4/5, rat_3/4) = rat_3/5 & % 22.09/3.85 rat_$product(rat_4/5, rat_15/16) = rat_3/4 & rat_$product(rat_4/5, rat_1) = % 22.09/3.85 rat_4/5 & rat_$product(rat_4/5, rat_4/5) = rat_16/25 & rat_$product(rat_4/5, % 22.09/3.85 rat_0) = rat_0 & rat_$product(rat_-3/4, rat_16/15) = rat_-4/5 & % 22.09/3.85 rat_$product(rat_-3/4, rat_-4/3) = rat_1 & rat_$product(rat_-3/4, rat_1) = % 22.09/3.85 rat_-3/4 & rat_$product(rat_-3/4, rat_-5/4) = rat_15/16 & % 22.09/3.85 rat_$product(rat_-3/4, rat_-3/4) = rat_9/16 & rat_$product(rat_-3/4, rat_-4/5) % 22.09/3.85 = rat_3/5 & rat_$product(rat_-3/4, rat_0) = rat_0 & rat_$product(rat_-4/5, % 22.09/3.85 rat_-4/3) = rat_16/15 & rat_$product(rat_-4/5, rat_15/16) = rat_-3/4 & % 22.09/3.85 rat_$product(rat_-4/5, rat_1) = rat_-4/5 & rat_$product(rat_-4/5, rat_-5/4) = % 22.09/3.85 rat_1 & rat_$product(rat_-4/5, rat_-3/4) = rat_3/5 & rat_$product(rat_-4/5, % 22.09/3.85 rat_-4/5) = rat_16/25 & rat_$product(rat_-4/5, rat_0) = rat_0 & % 22.09/3.85 rat_$product(rat_0, rat_9/16) = rat_0 & rat_$product(rat_0, rat_-3/2) = rat_0 % 22.09/3.85 & rat_$product(rat_0, rat_16/15) = rat_0 & rat_$product(rat_0, rat_-4/3) = % 22.09/3.85 rat_0 & rat_$product(rat_0, rat_1/20) = rat_0 & rat_$product(rat_0, rat_3/4) = % 22.09/3.85 rat_0 & rat_$product(rat_0, rat_15/16) = rat_0 & rat_$product(rat_0, rat_3/5) % 22.09/3.85 = rat_0 & rat_$product(rat_0, rat_-1/20) = rat_0 & rat_$product(rat_0, % 22.09/3.85 rat_-31/20) = rat_0 & rat_$product(rat_0, rat_1) = rat_0 & % 22.09/3.85 rat_$product(rat_0, rat_-5/4) = rat_0 & rat_$product(rat_0, rat_16/25) = rat_0 % 22.09/3.85 & rat_$product(rat_0, rat_-8/5) = rat_0 & rat_$product(rat_0, rat_4/5) = rat_0 % 22.09/3.85 & rat_$product(rat_0, rat_-3/4) = rat_0 & rat_$product(rat_0, rat_-4/5) = % 22.09/3.85 rat_0 & rat_$product(rat_0, rat_0) = rat_0 & rat_$is_rat(rat_9/16) & % 22.09/3.85 rat_$is_rat(rat_-3/2) & rat_$is_rat(rat_16/15) & rat_$is_rat(rat_-4/3) & % 22.09/3.85 rat_$is_rat(rat_1/20) & rat_$is_rat(rat_3/4) & rat_$is_rat(rat_15/16) & % 22.09/3.85 rat_$is_rat(rat_3/5) & rat_$is_rat(rat_-1/20) & rat_$is_rat(rat_-31/20) & % 22.09/3.85 rat_$is_rat(rat_1) & rat_$is_rat(rat_-5/4) & rat_$is_rat(rat_16/25) & % 22.09/3.85 rat_$is_rat(rat_-8/5) & rat_$is_rat(rat_4/5) & rat_$is_rat(rat_-3/4) & % 22.09/3.85 rat_$is_rat(rat_-4/5) & rat_$is_rat(rat_0) & rat_$is_int(rat_1) & % 22.09/3.85 rat_$is_int(rat_0) & rat_$greatereq(rat_9/16, rat_9/16) & % 22.09/3.85 rat_$greatereq(rat_9/16, rat_-3/2) & rat_$greatereq(rat_9/16, rat_-4/3) & % 22.09/3.85 rat_$greatereq(rat_9/16, rat_1/20) & rat_$greatereq(rat_9/16, rat_-1/20) & % 22.09/3.85 rat_$greatereq(rat_9/16, rat_-31/20) & rat_$greatereq(rat_9/16, rat_-5/4) & % 22.09/3.85 rat_$greatereq(rat_9/16, rat_-8/5) & rat_$greatereq(rat_9/16, rat_-3/4) & % 22.09/3.85 rat_$greatereq(rat_9/16, rat_-4/5) & rat_$greatereq(rat_9/16, rat_0) & % 22.09/3.85 rat_$greatereq(rat_-3/2, rat_-3/2) & rat_$greatereq(rat_-3/2, rat_-31/20) & % 22.09/3.85 rat_$greatereq(rat_-3/2, rat_-8/5) & rat_$greatereq(rat_16/15, rat_9/16) & % 22.09/3.85 rat_$greatereq(rat_16/15, rat_-3/2) & rat_$greatereq(rat_16/15, rat_16/15) & % 22.09/3.85 rat_$greatereq(rat_16/15, rat_-4/3) & rat_$greatereq(rat_16/15, rat_1/20) & % 22.09/3.85 rat_$greatereq(rat_16/15, rat_3/4) & rat_$greatereq(rat_16/15, rat_15/16) & % 22.09/3.85 rat_$greatereq(rat_16/15, rat_3/5) & rat_$greatereq(rat_16/15, rat_-1/20) & % 22.09/3.85 rat_$greatereq(rat_16/15, rat_-31/20) & rat_$greatereq(rat_16/15, rat_1) & % 22.09/3.85 rat_$greatereq(rat_16/15, rat_-5/4) & rat_$greatereq(rat_16/15, rat_16/25) & % 22.09/3.85 rat_$greatereq(rat_16/15, rat_-8/5) & rat_$greatereq(rat_16/15, rat_4/5) & % 22.09/3.85 rat_$greatereq(rat_16/15, rat_-3/4) & rat_$greatereq(rat_16/15, rat_-4/5) & % 22.09/3.85 rat_$greatereq(rat_16/15, rat_0) & rat_$greatereq(rat_-4/3, rat_-3/2) & % 22.09/3.85 rat_$greatereq(rat_-4/3, rat_-4/3) & rat_$greatereq(rat_-4/3, rat_-31/20) & % 22.09/3.85 rat_$greatereq(rat_-4/3, rat_-8/5) & rat_$greatereq(rat_1/20, rat_-3/2) & % 22.09/3.85 rat_$greatereq(rat_1/20, rat_-4/3) & rat_$greatereq(rat_1/20, rat_1/20) & % 22.09/3.85 rat_$greatereq(rat_1/20, rat_-1/20) & rat_$greatereq(rat_1/20, rat_-31/20) & % 22.09/3.85 rat_$greatereq(rat_1/20, rat_-5/4) & rat_$greatereq(rat_1/20, rat_-8/5) & % 22.09/3.85 rat_$greatereq(rat_1/20, rat_-3/4) & rat_$greatereq(rat_1/20, rat_-4/5) & % 22.09/3.85 rat_$greatereq(rat_1/20, rat_0) & rat_$greatereq(rat_3/4, rat_9/16) & % 22.09/3.85 rat_$greatereq(rat_3/4, rat_-3/2) & rat_$greatereq(rat_3/4, rat_-4/3) & % 22.19/3.85 rat_$greatereq(rat_3/4, rat_1/20) & rat_$greatereq(rat_3/4, rat_3/4) & % 22.19/3.85 rat_$greatereq(rat_3/4, rat_3/5) & rat_$greatereq(rat_3/4, rat_-1/20) & % 22.19/3.85 rat_$greatereq(rat_3/4, rat_-31/20) & rat_$greatereq(rat_3/4, rat_-5/4) & % 22.19/3.85 rat_$greatereq(rat_3/4, rat_16/25) & rat_$greatereq(rat_3/4, rat_-8/5) & % 22.19/3.85 rat_$greatereq(rat_3/4, rat_-3/4) & rat_$greatereq(rat_3/4, rat_-4/5) & % 22.19/3.85 rat_$greatereq(rat_3/4, rat_0) & rat_$greatereq(rat_15/16, rat_9/16) & % 22.19/3.85 rat_$greatereq(rat_15/16, rat_-3/2) & rat_$greatereq(rat_15/16, rat_-4/3) & % 22.19/3.85 rat_$greatereq(rat_15/16, rat_1/20) & rat_$greatereq(rat_15/16, rat_3/4) & % 22.19/3.85 rat_$greatereq(rat_15/16, rat_15/16) & rat_$greatereq(rat_15/16, rat_3/5) & % 22.19/3.85 rat_$greatereq(rat_15/16, rat_-1/20) & rat_$greatereq(rat_15/16, rat_-31/20) & % 22.19/3.85 rat_$greatereq(rat_15/16, rat_-5/4) & rat_$greatereq(rat_15/16, rat_16/25) & % 22.19/3.85 rat_$greatereq(rat_15/16, rat_-8/5) & rat_$greatereq(rat_15/16, rat_4/5) & % 22.19/3.85 rat_$greatereq(rat_15/16, rat_-3/4) & rat_$greatereq(rat_15/16, rat_-4/5) & % 22.19/3.85 rat_$greatereq(rat_15/16, rat_0) & rat_$greatereq(rat_3/5, rat_9/16) & % 22.19/3.85 rat_$greatereq(rat_3/5, rat_-3/2) & rat_$greatereq(rat_3/5, rat_-4/3) & % 22.19/3.85 rat_$greatereq(rat_3/5, rat_1/20) & rat_$greatereq(rat_3/5, rat_3/5) & % 22.19/3.85 rat_$greatereq(rat_3/5, rat_-1/20) & rat_$greatereq(rat_3/5, rat_-31/20) & % 22.19/3.85 rat_$greatereq(rat_3/5, rat_-5/4) & rat_$greatereq(rat_3/5, rat_-8/5) & % 22.19/3.85 rat_$greatereq(rat_3/5, rat_-3/4) & rat_$greatereq(rat_3/5, rat_-4/5) & % 22.19/3.85 rat_$greatereq(rat_3/5, rat_0) & rat_$greatereq(rat_-1/20, rat_-3/2) & % 22.19/3.85 rat_$greatereq(rat_-1/20, rat_-4/3) & rat_$greatereq(rat_-1/20, rat_-1/20) & % 22.19/3.85 rat_$greatereq(rat_-1/20, rat_-31/20) & rat_$greatereq(rat_-1/20, rat_-5/4) & % 22.19/3.85 rat_$greatereq(rat_-1/20, rat_-8/5) & rat_$greatereq(rat_-1/20, rat_-3/4) & % 22.19/3.85 rat_$greatereq(rat_-1/20, rat_-4/5) & rat_$greatereq(rat_-31/20, rat_-31/20) & % 22.19/3.85 rat_$greatereq(rat_-31/20, rat_-8/5) & rat_$greatereq(rat_1, rat_9/16) & % 22.19/3.85 rat_$greatereq(rat_1, rat_-3/2) & rat_$greatereq(rat_1, rat_-4/3) & % 22.19/3.85 rat_$greatereq(rat_1, rat_1/20) & rat_$greatereq(rat_1, rat_3/4) & % 22.19/3.85 rat_$greatereq(rat_1, rat_15/16) & rat_$greatereq(rat_1, rat_3/5) & % 22.19/3.85 rat_$greatereq(rat_1, rat_-1/20) & rat_$greatereq(rat_1, rat_-31/20) & % 22.19/3.85 rat_$greatereq(rat_1, rat_1) & rat_$greatereq(rat_1, rat_-5/4) & % 22.19/3.85 rat_$greatereq(rat_1, rat_16/25) & rat_$greatereq(rat_1, rat_-8/5) & % 22.19/3.85 rat_$greatereq(rat_1, rat_4/5) & rat_$greatereq(rat_1, rat_-3/4) & % 22.19/3.85 rat_$greatereq(rat_1, rat_-4/5) & rat_$greatereq(rat_1, rat_0) & % 22.19/3.85 rat_$greatereq(rat_-5/4, rat_-3/2) & rat_$greatereq(rat_-5/4, rat_-4/3) & % 22.19/3.85 rat_$greatereq(rat_-5/4, rat_-31/20) & rat_$greatereq(rat_-5/4, rat_-5/4) & % 22.19/3.85 rat_$greatereq(rat_-5/4, rat_-8/5) & rat_$greatereq(rat_16/25, rat_9/16) & % 22.19/3.85 rat_$greatereq(rat_16/25, rat_-3/2) & rat_$greatereq(rat_16/25, rat_-4/3) & % 22.19/3.85 rat_$greatereq(rat_16/25, rat_1/20) & rat_$greatereq(rat_16/25, rat_3/5) & % 22.19/3.85 rat_$greatereq(rat_16/25, rat_-1/20) & rat_$greatereq(rat_16/25, rat_-31/20) & % 22.19/3.85 rat_$greatereq(rat_16/25, rat_-5/4) & rat_$greatereq(rat_16/25, rat_16/25) & % 22.19/3.85 rat_$greatereq(rat_16/25, rat_-8/5) & rat_$greatereq(rat_16/25, rat_-3/4) & % 22.19/3.85 rat_$greatereq(rat_16/25, rat_-4/5) & rat_$greatereq(rat_16/25, rat_0) & % 22.19/3.85 rat_$greatereq(rat_-8/5, rat_-8/5) & rat_$greatereq(rat_4/5, rat_9/16) & % 22.19/3.85 rat_$greatereq(rat_4/5, rat_-3/2) & rat_$greatereq(rat_4/5, rat_-4/3) & % 22.19/3.85 rat_$greatereq(rat_4/5, rat_1/20) & rat_$greatereq(rat_4/5, rat_3/4) & % 22.19/3.85 rat_$greatereq(rat_4/5, rat_3/5) & rat_$greatereq(rat_4/5, rat_-1/20) & % 22.19/3.85 rat_$greatereq(rat_4/5, rat_-31/20) & rat_$greatereq(rat_4/5, rat_-5/4) & % 22.19/3.85 rat_$greatereq(rat_4/5, rat_16/25) & rat_$greatereq(rat_4/5, rat_-8/5) & % 22.19/3.85 rat_$greatereq(rat_4/5, rat_4/5) & rat_$greatereq(rat_4/5, rat_-3/4) & % 22.19/3.85 rat_$greatereq(rat_4/5, rat_-4/5) & rat_$greatereq(rat_4/5, rat_0) & % 22.19/3.85 rat_$greatereq(rat_-3/4, rat_-3/2) & rat_$greatereq(rat_-3/4, rat_-4/3) & % 22.19/3.85 rat_$greatereq(rat_-3/4, rat_-31/20) & rat_$greatereq(rat_-3/4, rat_-5/4) & % 22.19/3.85 rat_$greatereq(rat_-3/4, rat_-8/5) & rat_$greatereq(rat_-3/4, rat_-3/4) & % 22.19/3.85 rat_$greatereq(rat_-3/4, rat_-4/5) & rat_$greatereq(rat_-4/5, rat_-3/2) & % 22.19/3.85 rat_$greatereq(rat_-4/5, rat_-4/3) & rat_$greatereq(rat_-4/5, rat_-31/20) & % 22.19/3.85 rat_$greatereq(rat_-4/5, rat_-5/4) & rat_$greatereq(rat_-4/5, rat_-8/5) & % 22.19/3.85 rat_$greatereq(rat_-4/5, rat_-4/5) & rat_$greatereq(rat_0, rat_-3/2) & % 22.19/3.85 rat_$greatereq(rat_0, rat_-4/3) & rat_$greatereq(rat_0, rat_-1/20) & % 22.19/3.85 rat_$greatereq(rat_0, rat_-31/20) & rat_$greatereq(rat_0, rat_-5/4) & % 22.19/3.85 rat_$greatereq(rat_0, rat_-8/5) & rat_$greatereq(rat_0, rat_-3/4) & % 22.19/3.85 rat_$greatereq(rat_0, rat_-4/5) & rat_$greatereq(rat_0, rat_0) & % 22.19/3.85 rat_$greater(rat_very_large, rat_9/16) & rat_$greater(rat_very_large, % 22.19/3.85 rat_-3/2) & rat_$greater(rat_very_large, rat_16/15) & % 22.19/3.85 rat_$greater(rat_very_large, rat_-4/3) & rat_$greater(rat_very_large, % 22.19/3.85 rat_1/20) & rat_$greater(rat_very_large, rat_3/4) & % 22.19/3.85 rat_$greater(rat_very_large, rat_15/16) & rat_$greater(rat_very_large, % 22.19/3.85 rat_3/5) & rat_$greater(rat_very_large, rat_-1/20) & % 22.19/3.85 rat_$greater(rat_very_large, rat_-31/20) & rat_$greater(rat_very_large, rat_1) % 22.19/3.85 & rat_$greater(rat_very_large, rat_-5/4) & rat_$greater(rat_very_large, % 22.19/3.85 rat_16/25) & rat_$greater(rat_very_large, rat_-8/5) & % 22.19/3.85 rat_$greater(rat_very_large, rat_4/5) & rat_$greater(rat_very_large, rat_-3/4) % 22.19/3.85 & rat_$greater(rat_very_large, rat_-4/5) & rat_$greater(rat_very_large, rat_0) % 22.19/3.85 & rat_$greater(rat_9/16, rat_very_small) & rat_$greater(rat_9/16, rat_-3/2) & % 22.19/3.85 rat_$greater(rat_9/16, rat_-4/3) & rat_$greater(rat_9/16, rat_1/20) & % 22.19/3.85 rat_$greater(rat_9/16, rat_-1/20) & rat_$greater(rat_9/16, rat_-31/20) & % 22.19/3.85 rat_$greater(rat_9/16, rat_-5/4) & rat_$greater(rat_9/16, rat_-8/5) & % 22.19/3.85 rat_$greater(rat_9/16, rat_-3/4) & rat_$greater(rat_9/16, rat_-4/5) & % 22.19/3.85 rat_$greater(rat_9/16, rat_0) & rat_$greater(rat_-3/2, rat_very_small) & % 22.19/3.85 rat_$greater(rat_-3/2, rat_-31/20) & rat_$greater(rat_-3/2, rat_-8/5) & % 22.19/3.85 rat_$greater(rat_16/15, rat_very_small) & rat_$greater(rat_16/15, rat_9/16) & % 22.19/3.85 rat_$greater(rat_16/15, rat_-3/2) & rat_$greater(rat_16/15, rat_-4/3) & % 22.19/3.85 rat_$greater(rat_16/15, rat_1/20) & rat_$greater(rat_16/15, rat_3/4) & % 22.19/3.85 rat_$greater(rat_16/15, rat_15/16) & rat_$greater(rat_16/15, rat_3/5) & % 22.19/3.85 rat_$greater(rat_16/15, rat_-1/20) & rat_$greater(rat_16/15, rat_-31/20) & % 22.19/3.85 rat_$greater(rat_16/15, rat_1) & rat_$greater(rat_16/15, rat_-5/4) & % 22.19/3.85 rat_$greater(rat_16/15, rat_16/25) & rat_$greater(rat_16/15, rat_-8/5) & % 22.19/3.85 rat_$greater(rat_16/15, rat_4/5) & rat_$greater(rat_16/15, rat_-3/4) & % 22.19/3.85 rat_$greater(rat_16/15, rat_-4/5) & rat_$greater(rat_16/15, rat_0) & % 22.19/3.85 rat_$greater(rat_-4/3, rat_very_small) & rat_$greater(rat_-4/3, rat_-3/2) & % 22.19/3.85 rat_$greater(rat_-4/3, rat_-31/20) & rat_$greater(rat_-4/3, rat_-8/5) & % 22.19/3.85 rat_$greater(rat_1/20, rat_very_small) & rat_$greater(rat_1/20, rat_-3/2) & % 22.19/3.85 rat_$greater(rat_1/20, rat_-4/3) & rat_$greater(rat_1/20, rat_-1/20) & % 22.19/3.85 rat_$greater(rat_1/20, rat_-31/20) & rat_$greater(rat_1/20, rat_-5/4) & % 22.19/3.85 rat_$greater(rat_1/20, rat_-8/5) & rat_$greater(rat_1/20, rat_-3/4) & % 22.19/3.85 rat_$greater(rat_1/20, rat_-4/5) & rat_$greater(rat_1/20, rat_0) & % 22.19/3.85 rat_$greater(rat_3/4, rat_very_small) & rat_$greater(rat_3/4, rat_9/16) & % 22.19/3.85 rat_$greater(rat_3/4, rat_-3/2) & rat_$greater(rat_3/4, rat_-4/3) & % 22.19/3.85 rat_$greater(rat_3/4, rat_1/20) & rat_$greater(rat_3/4, rat_3/5) & % 22.19/3.85 rat_$greater(rat_3/4, rat_-1/20) & rat_$greater(rat_3/4, rat_-31/20) & % 22.19/3.85 rat_$greater(rat_3/4, rat_-5/4) & rat_$greater(rat_3/4, rat_16/25) & % 22.19/3.85 rat_$greater(rat_3/4, rat_-8/5) & rat_$greater(rat_3/4, rat_-3/4) & % 22.19/3.85 rat_$greater(rat_3/4, rat_-4/5) & rat_$greater(rat_3/4, rat_0) & % 22.19/3.85 rat_$greater(rat_15/16, rat_very_small) & rat_$greater(rat_15/16, rat_9/16) & % 22.19/3.85 rat_$greater(rat_15/16, rat_-3/2) & rat_$greater(rat_15/16, rat_-4/3) & % 22.19/3.85 rat_$greater(rat_15/16, rat_1/20) & rat_$greater(rat_15/16, rat_3/4) & % 22.19/3.85 rat_$greater(rat_15/16, rat_3/5) & rat_$greater(rat_15/16, rat_-1/20) & % 22.19/3.85 rat_$greater(rat_15/16, rat_-31/20) & rat_$greater(rat_15/16, rat_-5/4) & % 22.19/3.85 rat_$greater(rat_15/16, rat_16/25) & rat_$greater(rat_15/16, rat_-8/5) & % 22.19/3.85 rat_$greater(rat_15/16, rat_4/5) & rat_$greater(rat_15/16, rat_-3/4) & % 22.19/3.85 rat_$greater(rat_15/16, rat_-4/5) & rat_$greater(rat_15/16, rat_0) & % 22.19/3.85 rat_$greater(rat_3/5, rat_very_small) & rat_$greater(rat_3/5, rat_9/16) & % 22.19/3.85 rat_$greater(rat_3/5, rat_-3/2) & rat_$greater(rat_3/5, rat_-4/3) & % 22.19/3.85 rat_$greater(rat_3/5, rat_1/20) & rat_$greater(rat_3/5, rat_-1/20) & % 22.19/3.85 rat_$greater(rat_3/5, rat_-31/20) & rat_$greater(rat_3/5, rat_-5/4) & % 22.19/3.85 rat_$greater(rat_3/5, rat_-8/5) & rat_$greater(rat_3/5, rat_-3/4) & % 22.19/3.85 rat_$greater(rat_3/5, rat_-4/5) & rat_$greater(rat_3/5, rat_0) & % 22.19/3.85 rat_$greater(rat_-1/20, rat_very_small) & rat_$greater(rat_-1/20, rat_-3/2) & % 22.19/3.85 rat_$greater(rat_-1/20, rat_-4/3) & rat_$greater(rat_-1/20, rat_-31/20) & % 22.19/3.85 rat_$greater(rat_-1/20, rat_-5/4) & rat_$greater(rat_-1/20, rat_-8/5) & % 22.19/3.85 rat_$greater(rat_-1/20, rat_-3/4) & rat_$greater(rat_-1/20, rat_-4/5) & % 22.19/3.85 rat_$greater(rat_-31/20, rat_very_small) & rat_$greater(rat_-31/20, rat_-8/5) % 22.19/3.85 & rat_$greater(rat_1, rat_very_small) & rat_$greater(rat_1, rat_9/16) & % 22.19/3.85 rat_$greater(rat_1, rat_-3/2) & rat_$greater(rat_1, rat_-4/3) & % 22.19/3.85 rat_$greater(rat_1, rat_1/20) & rat_$greater(rat_1, rat_3/4) & % 22.19/3.85 rat_$greater(rat_1, rat_15/16) & rat_$greater(rat_1, rat_3/5) & % 22.19/3.85 rat_$greater(rat_1, rat_-1/20) & rat_$greater(rat_1, rat_-31/20) & % 22.19/3.85 rat_$greater(rat_1, rat_-5/4) & rat_$greater(rat_1, rat_16/25) & % 22.19/3.85 rat_$greater(rat_1, rat_-8/5) & rat_$greater(rat_1, rat_4/5) & % 22.19/3.85 rat_$greater(rat_1, rat_-3/4) & rat_$greater(rat_1, rat_-4/5) & % 22.19/3.85 rat_$greater(rat_1, rat_0) & rat_$greater(rat_-5/4, rat_very_small) & % 22.19/3.85 rat_$greater(rat_-5/4, rat_-3/2) & rat_$greater(rat_-5/4, rat_-4/3) & % 22.19/3.85 rat_$greater(rat_-5/4, rat_-31/20) & rat_$greater(rat_-5/4, rat_-8/5) & % 22.19/3.85 rat_$greater(rat_16/25, rat_very_small) & rat_$greater(rat_16/25, rat_9/16) & % 22.19/3.85 rat_$greater(rat_16/25, rat_-3/2) & rat_$greater(rat_16/25, rat_-4/3) & % 22.19/3.85 rat_$greater(rat_16/25, rat_1/20) & rat_$greater(rat_16/25, rat_3/5) & % 22.19/3.85 rat_$greater(rat_16/25, rat_-1/20) & rat_$greater(rat_16/25, rat_-31/20) & % 22.19/3.85 rat_$greater(rat_16/25, rat_-5/4) & rat_$greater(rat_16/25, rat_-8/5) & % 22.19/3.85 rat_$greater(rat_16/25, rat_-3/4) & rat_$greater(rat_16/25, rat_-4/5) & % 22.19/3.85 rat_$greater(rat_16/25, rat_0) & rat_$greater(rat_-8/5, rat_very_small) & % 22.19/3.85 rat_$greater(rat_4/5, rat_very_small) & rat_$greater(rat_4/5, rat_9/16) & % 22.19/3.85 rat_$greater(rat_4/5, rat_-3/2) & rat_$greater(rat_4/5, rat_-4/3) & % 22.19/3.85 rat_$greater(rat_4/5, rat_1/20) & rat_$greater(rat_4/5, rat_3/4) & % 22.19/3.85 rat_$greater(rat_4/5, rat_3/5) & rat_$greater(rat_4/5, rat_-1/20) & % 22.19/3.85 rat_$greater(rat_4/5, rat_-31/20) & rat_$greater(rat_4/5, rat_-5/4) & % 22.19/3.85 rat_$greater(rat_4/5, rat_16/25) & rat_$greater(rat_4/5, rat_-8/5) & % 22.19/3.85 rat_$greater(rat_4/5, rat_-3/4) & rat_$greater(rat_4/5, rat_-4/5) & % 22.19/3.85 rat_$greater(rat_4/5, rat_0) & rat_$greater(rat_-3/4, rat_very_small) & % 22.19/3.85 rat_$greater(rat_-3/4, rat_-3/2) & rat_$greater(rat_-3/4, rat_-4/3) & % 22.19/3.85 rat_$greater(rat_-3/4, rat_-31/20) & rat_$greater(rat_-3/4, rat_-5/4) & % 22.19/3.85 rat_$greater(rat_-3/4, rat_-8/5) & rat_$greater(rat_-3/4, rat_-4/5) & % 22.19/3.85 rat_$greater(rat_-4/5, rat_very_small) & rat_$greater(rat_-4/5, rat_-3/2) & % 22.19/3.85 rat_$greater(rat_-4/5, rat_-4/3) & rat_$greater(rat_-4/5, rat_-31/20) & % 22.19/3.85 rat_$greater(rat_-4/5, rat_-5/4) & rat_$greater(rat_-4/5, rat_-8/5) & % 22.19/3.85 rat_$greater(rat_0, rat_very_small) & rat_$greater(rat_0, rat_-3/2) & % 22.19/3.85 rat_$greater(rat_0, rat_-4/3) & rat_$greater(rat_0, rat_-1/20) & % 22.19/3.85 rat_$greater(rat_0, rat_-31/20) & rat_$greater(rat_0, rat_-5/4) & % 22.19/3.85 rat_$greater(rat_0, rat_-8/5) & rat_$greater(rat_0, rat_-3/4) & % 22.19/3.85 rat_$greater(rat_0, rat_-4/5) & rat_$lesseq(rat_very_small, rat_very_large) & % 22.19/3.85 rat_$lesseq(rat_9/16, rat_9/16) & rat_$lesseq(rat_9/16, rat_16/15) & % 22.19/3.85 rat_$lesseq(rat_9/16, rat_3/4) & rat_$lesseq(rat_9/16, rat_15/16) & % 22.19/3.85 rat_$lesseq(rat_9/16, rat_3/5) & rat_$lesseq(rat_9/16, rat_1) & % 22.19/3.85 rat_$lesseq(rat_9/16, rat_16/25) & rat_$lesseq(rat_9/16, rat_4/5) & % 22.19/3.85 rat_$lesseq(rat_-3/2, rat_9/16) & rat_$lesseq(rat_-3/2, rat_-3/2) & % 22.19/3.85 rat_$lesseq(rat_-3/2, rat_16/15) & rat_$lesseq(rat_-3/2, rat_-4/3) & % 22.19/3.85 rat_$lesseq(rat_-3/2, rat_1/20) & rat_$lesseq(rat_-3/2, rat_3/4) & % 22.19/3.85 rat_$lesseq(rat_-3/2, rat_15/16) & rat_$lesseq(rat_-3/2, rat_3/5) & % 22.19/3.85 rat_$lesseq(rat_-3/2, rat_-1/20) & rat_$lesseq(rat_-3/2, rat_1) & % 22.19/3.85 rat_$lesseq(rat_-3/2, rat_-5/4) & rat_$lesseq(rat_-3/2, rat_16/25) & % 22.19/3.85 rat_$lesseq(rat_-3/2, rat_4/5) & rat_$lesseq(rat_-3/2, rat_-3/4) & % 22.19/3.85 rat_$lesseq(rat_-3/2, rat_-4/5) & rat_$lesseq(rat_-3/2, rat_0) & % 22.19/3.85 rat_$lesseq(rat_16/15, rat_16/15) & rat_$lesseq(rat_-4/3, rat_9/16) & % 22.19/3.85 rat_$lesseq(rat_-4/3, rat_16/15) & rat_$lesseq(rat_-4/3, rat_-4/3) & % 22.19/3.85 rat_$lesseq(rat_-4/3, rat_1/20) & rat_$lesseq(rat_-4/3, rat_3/4) & % 22.19/3.85 rat_$lesseq(rat_-4/3, rat_15/16) & rat_$lesseq(rat_-4/3, rat_3/5) & % 22.19/3.85 rat_$lesseq(rat_-4/3, rat_-1/20) & rat_$lesseq(rat_-4/3, rat_1) & % 22.19/3.85 rat_$lesseq(rat_-4/3, rat_-5/4) & rat_$lesseq(rat_-4/3, rat_16/25) & % 22.19/3.85 rat_$lesseq(rat_-4/3, rat_4/5) & rat_$lesseq(rat_-4/3, rat_-3/4) & % 22.19/3.85 rat_$lesseq(rat_-4/3, rat_-4/5) & rat_$lesseq(rat_-4/3, rat_0) & % 22.19/3.85 rat_$lesseq(rat_1/20, rat_9/16) & rat_$lesseq(rat_1/20, rat_16/15) & % 22.19/3.85 rat_$lesseq(rat_1/20, rat_1/20) & rat_$lesseq(rat_1/20, rat_3/4) & % 22.19/3.85 rat_$lesseq(rat_1/20, rat_15/16) & rat_$lesseq(rat_1/20, rat_3/5) & % 22.19/3.85 rat_$lesseq(rat_1/20, rat_1) & rat_$lesseq(rat_1/20, rat_16/25) & % 22.19/3.85 rat_$lesseq(rat_1/20, rat_4/5) & rat_$lesseq(rat_3/4, rat_16/15) & % 22.19/3.85 rat_$lesseq(rat_3/4, rat_3/4) & rat_$lesseq(rat_3/4, rat_15/16) & % 22.19/3.85 rat_$lesseq(rat_3/4, rat_1) & rat_$lesseq(rat_3/4, rat_4/5) & % 22.19/3.85 rat_$lesseq(rat_15/16, rat_16/15) & rat_$lesseq(rat_15/16, rat_15/16) & % 22.19/3.85 rat_$lesseq(rat_15/16, rat_1) & rat_$lesseq(rat_3/5, rat_16/15) & % 22.19/3.85 rat_$lesseq(rat_3/5, rat_3/4) & rat_$lesseq(rat_3/5, rat_15/16) & % 22.19/3.85 rat_$lesseq(rat_3/5, rat_3/5) & rat_$lesseq(rat_3/5, rat_1) & % 22.19/3.85 rat_$lesseq(rat_3/5, rat_16/25) & rat_$lesseq(rat_3/5, rat_4/5) & % 22.19/3.85 rat_$lesseq(rat_-1/20, rat_9/16) & rat_$lesseq(rat_-1/20, rat_16/15) & % 22.19/3.85 rat_$lesseq(rat_-1/20, rat_1/20) & rat_$lesseq(rat_-1/20, rat_3/4) & % 22.19/3.85 rat_$lesseq(rat_-1/20, rat_15/16) & rat_$lesseq(rat_-1/20, rat_3/5) & % 22.19/3.85 rat_$lesseq(rat_-1/20, rat_-1/20) & rat_$lesseq(rat_-1/20, rat_1) & % 22.19/3.85 rat_$lesseq(rat_-1/20, rat_16/25) & rat_$lesseq(rat_-1/20, rat_4/5) & % 22.19/3.85 rat_$lesseq(rat_-1/20, rat_0) & rat_$lesseq(rat_-31/20, rat_9/16) & % 22.19/3.85 rat_$lesseq(rat_-31/20, rat_-3/2) & rat_$lesseq(rat_-31/20, rat_16/15) & % 22.19/3.85 rat_$lesseq(rat_-31/20, rat_-4/3) & rat_$lesseq(rat_-31/20, rat_1/20) & % 22.19/3.86 rat_$lesseq(rat_-31/20, rat_3/4) & rat_$lesseq(rat_-31/20, rat_15/16) & % 22.19/3.86 rat_$lesseq(rat_-31/20, rat_3/5) & rat_$lesseq(rat_-31/20, rat_-1/20) & % 22.19/3.86 rat_$lesseq(rat_-31/20, rat_-31/20) & rat_$lesseq(rat_-31/20, rat_1) & % 22.19/3.86 rat_$lesseq(rat_-31/20, rat_-5/4) & rat_$lesseq(rat_-31/20, rat_16/25) & % 22.19/3.86 rat_$lesseq(rat_-31/20, rat_4/5) & rat_$lesseq(rat_-31/20, rat_-3/4) & % 22.19/3.86 rat_$lesseq(rat_-31/20, rat_-4/5) & rat_$lesseq(rat_-31/20, rat_0) & % 22.19/3.86 rat_$lesseq(rat_1, rat_16/15) & rat_$lesseq(rat_1, rat_1) & % 22.19/3.86 rat_$lesseq(rat_-5/4, rat_9/16) & rat_$lesseq(rat_-5/4, rat_16/15) & % 22.19/3.86 rat_$lesseq(rat_-5/4, rat_1/20) & rat_$lesseq(rat_-5/4, rat_3/4) & % 22.19/3.86 rat_$lesseq(rat_-5/4, rat_15/16) & rat_$lesseq(rat_-5/4, rat_3/5) & % 22.19/3.86 rat_$lesseq(rat_-5/4, rat_-1/20) & rat_$lesseq(rat_-5/4, rat_1) & % 22.19/3.86 rat_$lesseq(rat_-5/4, rat_-5/4) & rat_$lesseq(rat_-5/4, rat_16/25) & % 22.19/3.86 rat_$lesseq(rat_-5/4, rat_4/5) & rat_$lesseq(rat_-5/4, rat_-3/4) & % 22.19/3.86 rat_$lesseq(rat_-5/4, rat_-4/5) & rat_$lesseq(rat_-5/4, rat_0) & % 22.19/3.86 rat_$lesseq(rat_16/25, rat_16/15) & rat_$lesseq(rat_16/25, rat_3/4) & % 22.19/3.86 rat_$lesseq(rat_16/25, rat_15/16) & rat_$lesseq(rat_16/25, rat_1) & % 22.19/3.86 rat_$lesseq(rat_16/25, rat_16/25) & rat_$lesseq(rat_16/25, rat_4/5) & % 22.19/3.86 rat_$lesseq(rat_-8/5, rat_9/16) & rat_$lesseq(rat_-8/5, rat_-3/2) & % 22.19/3.86 rat_$lesseq(rat_-8/5, rat_16/15) & rat_$lesseq(rat_-8/5, rat_-4/3) & % 22.19/3.86 rat_$lesseq(rat_-8/5, rat_1/20) & rat_$lesseq(rat_-8/5, rat_3/4) & % 22.19/3.86 rat_$lesseq(rat_-8/5, rat_15/16) & rat_$lesseq(rat_-8/5, rat_3/5) & % 22.19/3.86 rat_$lesseq(rat_-8/5, rat_-1/20) & rat_$lesseq(rat_-8/5, rat_-31/20) & % 22.19/3.86 rat_$lesseq(rat_-8/5, rat_1) & rat_$lesseq(rat_-8/5, rat_-5/4) & % 22.19/3.86 rat_$lesseq(rat_-8/5, rat_16/25) & rat_$lesseq(rat_-8/5, rat_-8/5) & % 22.19/3.86 rat_$lesseq(rat_-8/5, rat_4/5) & rat_$lesseq(rat_-8/5, rat_-3/4) & % 22.19/3.86 rat_$lesseq(rat_-8/5, rat_-4/5) & rat_$lesseq(rat_-8/5, rat_0) & % 22.19/3.86 rat_$lesseq(rat_4/5, rat_16/15) & rat_$lesseq(rat_4/5, rat_15/16) & % 22.19/3.86 rat_$lesseq(rat_4/5, rat_1) & rat_$lesseq(rat_4/5, rat_4/5) & % 22.19/3.86 rat_$lesseq(rat_-3/4, rat_9/16) & rat_$lesseq(rat_-3/4, rat_16/15) & % 22.19/3.86 rat_$lesseq(rat_-3/4, rat_1/20) & rat_$lesseq(rat_-3/4, rat_3/4) & % 22.19/3.86 rat_$lesseq(rat_-3/4, rat_15/16) & rat_$lesseq(rat_-3/4, rat_3/5) & % 22.19/3.86 rat_$lesseq(rat_-3/4, rat_-1/20) & rat_$lesseq(rat_-3/4, rat_1) & % 22.19/3.86 rat_$lesseq(rat_-3/4, rat_16/25) & rat_$lesseq(rat_-3/4, rat_4/5) & % 22.19/3.86 rat_$lesseq(rat_-3/4, rat_-3/4) & rat_$lesseq(rat_-3/4, rat_0) & % 22.19/3.86 rat_$lesseq(rat_-4/5, rat_9/16) & rat_$lesseq(rat_-4/5, rat_16/15) & % 22.19/3.86 rat_$lesseq(rat_-4/5, rat_1/20) & rat_$lesseq(rat_-4/5, rat_3/4) & % 22.19/3.86 rat_$lesseq(rat_-4/5, rat_15/16) & rat_$lesseq(rat_-4/5, rat_3/5) & % 22.19/3.86 rat_$lesseq(rat_-4/5, rat_-1/20) & rat_$lesseq(rat_-4/5, rat_1) & % 22.19/3.86 rat_$lesseq(rat_-4/5, rat_16/25) & rat_$lesseq(rat_-4/5, rat_4/5) & % 22.19/3.86 rat_$lesseq(rat_-4/5, rat_-3/4) & rat_$lesseq(rat_-4/5, rat_-4/5) & % 22.19/3.86 rat_$lesseq(rat_-4/5, rat_0) & rat_$lesseq(rat_0, rat_9/16) & % 22.19/3.86 rat_$lesseq(rat_0, rat_16/15) & rat_$lesseq(rat_0, rat_1/20) & % 22.19/3.86 rat_$lesseq(rat_0, rat_3/4) & rat_$lesseq(rat_0, rat_15/16) & % 22.19/3.86 rat_$lesseq(rat_0, rat_3/5) & rat_$lesseq(rat_0, rat_1) & rat_$lesseq(rat_0, % 22.19/3.86 rat_16/25) & rat_$lesseq(rat_0, rat_4/5) & rat_$lesseq(rat_0, rat_0) & % 22.19/3.86 rat_$less(rat_very_small, rat_very_large) & rat_$less(rat_very_small, % 22.19/3.86 rat_9/16) & rat_$less(rat_very_small, rat_-3/2) & rat_$less(rat_very_small, % 22.19/3.86 rat_16/15) & rat_$less(rat_very_small, rat_-4/3) & rat_$less(rat_very_small, % 22.19/3.86 rat_1/20) & rat_$less(rat_very_small, rat_3/4) & rat_$less(rat_very_small, % 22.19/3.86 rat_15/16) & rat_$less(rat_very_small, rat_3/5) & rat_$less(rat_very_small, % 22.19/3.86 rat_-1/20) & rat_$less(rat_very_small, rat_-31/20) & % 22.19/3.86 rat_$less(rat_very_small, rat_1) & rat_$less(rat_very_small, rat_-5/4) & % 22.19/3.86 rat_$less(rat_very_small, rat_16/25) & rat_$less(rat_very_small, rat_-8/5) & % 22.19/3.86 rat_$less(rat_very_small, rat_4/5) & rat_$less(rat_very_small, rat_-3/4) & % 22.19/3.86 rat_$less(rat_very_small, rat_-4/5) & rat_$less(rat_very_small, rat_0) & % 22.19/3.86 rat_$less(rat_9/16, rat_very_large) & rat_$less(rat_9/16, rat_16/15) & % 22.19/3.86 rat_$less(rat_9/16, rat_3/4) & rat_$less(rat_9/16, rat_15/16) & % 22.19/3.86 rat_$less(rat_9/16, rat_3/5) & rat_$less(rat_9/16, rat_1) & % 22.19/3.86 rat_$less(rat_9/16, rat_16/25) & rat_$less(rat_9/16, rat_4/5) & % 22.19/3.86 rat_$less(rat_-3/2, rat_very_large) & rat_$less(rat_-3/2, rat_9/16) & % 22.19/3.86 rat_$less(rat_-3/2, rat_16/15) & rat_$less(rat_-3/2, rat_-4/3) & % 22.19/3.86 rat_$less(rat_-3/2, rat_1/20) & rat_$less(rat_-3/2, rat_3/4) & % 22.19/3.86 rat_$less(rat_-3/2, rat_15/16) & rat_$less(rat_-3/2, rat_3/5) & % 22.19/3.86 rat_$less(rat_-3/2, rat_-1/20) & rat_$less(rat_-3/2, rat_1) & % 22.19/3.86 rat_$less(rat_-3/2, rat_-5/4) & rat_$less(rat_-3/2, rat_16/25) & % 22.19/3.86 rat_$less(rat_-3/2, rat_4/5) & rat_$less(rat_-3/2, rat_-3/4) & % 22.19/3.86 rat_$less(rat_-3/2, rat_-4/5) & rat_$less(rat_-3/2, rat_0) & % 22.19/3.86 rat_$less(rat_16/15, rat_very_large) & rat_$less(rat_-4/3, rat_very_large) & % 22.19/3.86 rat_$less(rat_-4/3, rat_9/16) & rat_$less(rat_-4/3, rat_16/15) & % 22.19/3.86 rat_$less(rat_-4/3, rat_1/20) & rat_$less(rat_-4/3, rat_3/4) & % 22.19/3.86 rat_$less(rat_-4/3, rat_15/16) & rat_$less(rat_-4/3, rat_3/5) & % 22.19/3.86 rat_$less(rat_-4/3, rat_-1/20) & rat_$less(rat_-4/3, rat_1) & % 22.19/3.86 rat_$less(rat_-4/3, rat_-5/4) & rat_$less(rat_-4/3, rat_16/25) & % 22.19/3.86 rat_$less(rat_-4/3, rat_4/5) & rat_$less(rat_-4/3, rat_-3/4) & % 22.19/3.86 rat_$less(rat_-4/3, rat_-4/5) & rat_$less(rat_-4/3, rat_0) & % 22.19/3.86 rat_$less(rat_1/20, rat_very_large) & rat_$less(rat_1/20, rat_9/16) & % 22.19/3.86 rat_$less(rat_1/20, rat_16/15) & rat_$less(rat_1/20, rat_3/4) & % 22.19/3.86 rat_$less(rat_1/20, rat_15/16) & rat_$less(rat_1/20, rat_3/5) & % 22.19/3.86 rat_$less(rat_1/20, rat_1) & rat_$less(rat_1/20, rat_16/25) & % 22.19/3.86 rat_$less(rat_1/20, rat_4/5) & rat_$less(rat_3/4, rat_very_large) & % 22.19/3.86 rat_$less(rat_3/4, rat_16/15) & rat_$less(rat_3/4, rat_15/16) & % 22.19/3.86 rat_$less(rat_3/4, rat_1) & rat_$less(rat_3/4, rat_4/5) & rat_$less(rat_15/16, % 22.19/3.86 rat_very_large) & rat_$less(rat_15/16, rat_16/15) & rat_$less(rat_15/16, % 22.19/3.86 rat_1) & rat_$less(rat_3/5, rat_very_large) & rat_$less(rat_3/5, rat_16/15) % 22.19/3.86 & rat_$less(rat_3/5, rat_3/4) & rat_$less(rat_3/5, rat_15/16) & % 22.19/3.86 rat_$less(rat_3/5, rat_1) & rat_$less(rat_3/5, rat_16/25) & rat_$less(rat_3/5, % 22.19/3.86 rat_4/5) & rat_$less(rat_-1/20, rat_very_large) & rat_$less(rat_-1/20, % 22.19/3.86 rat_9/16) & rat_$less(rat_-1/20, rat_16/15) & rat_$less(rat_-1/20, rat_1/20) % 22.19/3.86 & rat_$less(rat_-1/20, rat_3/4) & rat_$less(rat_-1/20, rat_15/16) & % 22.19/3.86 rat_$less(rat_-1/20, rat_3/5) & rat_$less(rat_-1/20, rat_1) & % 22.19/3.86 rat_$less(rat_-1/20, rat_16/25) & rat_$less(rat_-1/20, rat_4/5) & % 22.19/3.86 rat_$less(rat_-1/20, rat_0) & rat_$less(rat_-31/20, rat_very_large) & % 22.19/3.86 rat_$less(rat_-31/20, rat_9/16) & rat_$less(rat_-31/20, rat_-3/2) & % 22.19/3.86 rat_$less(rat_-31/20, rat_16/15) & rat_$less(rat_-31/20, rat_-4/3) & % 22.19/3.86 rat_$less(rat_-31/20, rat_1/20) & rat_$less(rat_-31/20, rat_3/4) & % 22.19/3.86 rat_$less(rat_-31/20, rat_15/16) & rat_$less(rat_-31/20, rat_3/5) & % 22.19/3.86 rat_$less(rat_-31/20, rat_-1/20) & rat_$less(rat_-31/20, rat_1) & % 22.19/3.86 rat_$less(rat_-31/20, rat_-5/4) & rat_$less(rat_-31/20, rat_16/25) & % 22.19/3.86 rat_$less(rat_-31/20, rat_4/5) & rat_$less(rat_-31/20, rat_-3/4) & % 22.19/3.86 rat_$less(rat_-31/20, rat_-4/5) & rat_$less(rat_-31/20, rat_0) & % 22.19/3.86 rat_$less(rat_1, rat_very_large) & rat_$less(rat_1, rat_16/15) & % 22.19/3.86 rat_$less(rat_-5/4, rat_very_large) & rat_$less(rat_-5/4, rat_9/16) & % 22.19/3.86 rat_$less(rat_-5/4, rat_16/15) & rat_$less(rat_-5/4, rat_1/20) & % 22.19/3.86 rat_$less(rat_-5/4, rat_3/4) & rat_$less(rat_-5/4, rat_15/16) & % 22.19/3.86 rat_$less(rat_-5/4, rat_3/5) & rat_$less(rat_-5/4, rat_-1/20) & % 22.19/3.86 rat_$less(rat_-5/4, rat_1) & rat_$less(rat_-5/4, rat_16/25) & % 22.19/3.86 rat_$less(rat_-5/4, rat_4/5) & rat_$less(rat_-5/4, rat_-3/4) & % 22.19/3.86 rat_$less(rat_-5/4, rat_-4/5) & rat_$less(rat_-5/4, rat_0) & % 22.19/3.86 rat_$less(rat_16/25, rat_very_large) & rat_$less(rat_16/25, rat_16/15) & % 22.19/3.86 rat_$less(rat_16/25, rat_3/4) & rat_$less(rat_16/25, rat_15/16) & % 22.19/3.86 rat_$less(rat_16/25, rat_1) & rat_$less(rat_16/25, rat_4/5) & % 22.19/3.86 rat_$less(rat_-8/5, rat_very_large) & rat_$less(rat_-8/5, rat_9/16) & % 22.19/3.86 rat_$less(rat_-8/5, rat_-3/2) & rat_$less(rat_-8/5, rat_16/15) & % 22.19/3.86 rat_$less(rat_-8/5, rat_-4/3) & rat_$less(rat_-8/5, rat_1/20) & % 22.19/3.86 rat_$less(rat_-8/5, rat_3/4) & rat_$less(rat_-8/5, rat_15/16) & % 22.19/3.86 rat_$less(rat_-8/5, rat_3/5) & rat_$less(rat_-8/5, rat_-1/20) & % 22.19/3.86 rat_$less(rat_-8/5, rat_-31/20) & rat_$less(rat_-8/5, rat_1) & % 22.19/3.86 rat_$less(rat_-8/5, rat_-5/4) & rat_$less(rat_-8/5, rat_16/25) & % 22.19/3.86 rat_$less(rat_-8/5, rat_4/5) & rat_$less(rat_-8/5, rat_-3/4) & % 22.19/3.86 rat_$less(rat_-8/5, rat_-4/5) & rat_$less(rat_-8/5, rat_0) & % 22.19/3.86 rat_$less(rat_4/5, rat_very_large) & rat_$less(rat_4/5, rat_16/15) & % 22.19/3.86 rat_$less(rat_4/5, rat_15/16) & rat_$less(rat_4/5, rat_1) & % 22.19/3.86 rat_$less(rat_-3/4, rat_very_large) & rat_$less(rat_-3/4, rat_9/16) & % 22.19/3.86 rat_$less(rat_-3/4, rat_16/15) & rat_$less(rat_-3/4, rat_1/20) & % 22.19/3.86 rat_$less(rat_-3/4, rat_3/4) & rat_$less(rat_-3/4, rat_15/16) & % 22.19/3.86 rat_$less(rat_-3/4, rat_3/5) & rat_$less(rat_-3/4, rat_-1/20) & % 22.19/3.86 rat_$less(rat_-3/4, rat_1) & rat_$less(rat_-3/4, rat_16/25) & % 22.19/3.86 rat_$less(rat_-3/4, rat_4/5) & rat_$less(rat_-3/4, rat_0) & % 22.19/3.86 rat_$less(rat_-4/5, rat_very_large) & rat_$less(rat_-4/5, rat_9/16) & % 22.19/3.86 rat_$less(rat_-4/5, rat_16/15) & rat_$less(rat_-4/5, rat_1/20) & % 22.19/3.86 rat_$less(rat_-4/5, rat_3/4) & rat_$less(rat_-4/5, rat_15/16) & % 22.19/3.86 rat_$less(rat_-4/5, rat_3/5) & rat_$less(rat_-4/5, rat_-1/20) & % 22.19/3.86 rat_$less(rat_-4/5, rat_1) & rat_$less(rat_-4/5, rat_16/25) & % 22.19/3.86 rat_$less(rat_-4/5, rat_4/5) & rat_$less(rat_-4/5, rat_-3/4) & % 22.19/3.86 rat_$less(rat_-4/5, rat_0) & rat_$less(rat_0, rat_very_large) & % 22.19/3.86 rat_$less(rat_0, rat_9/16) & rat_$less(rat_0, rat_16/15) & rat_$less(rat_0, % 22.19/3.86 rat_1/20) & rat_$less(rat_0, rat_3/4) & rat_$less(rat_0, rat_15/16) & % 22.19/3.86 rat_$less(rat_0, rat_3/5) & rat_$less(rat_0, rat_1) & rat_$less(rat_0, % 22.19/3.86 rat_16/25) & rat_$less(rat_0, rat_4/5) & ~ rat_$is_int(rat_9/16) & ~ % 22.19/3.86 rat_$is_int(rat_-3/2) & ~ rat_$is_int(rat_16/15) & ~ rat_$is_int(rat_-4/3) & % 22.19/3.86 ~ rat_$is_int(rat_1/20) & ~ rat_$is_int(rat_3/4) & ~ rat_$is_int(rat_15/16) % 22.19/3.86 & ~ rat_$is_int(rat_3/5) & ~ rat_$is_int(rat_-1/20) & ~ % 22.19/3.86 rat_$is_int(rat_-31/20) & ~ rat_$is_int(rat_-5/4) & ~ rat_$is_int(rat_16/25) % 22.19/3.86 & ~ rat_$is_int(rat_-8/5) & ~ rat_$is_int(rat_4/5) & ~ % 22.19/3.86 rat_$is_int(rat_-3/4) & ~ rat_$is_int(rat_-4/5) & ~ % 22.19/3.86 rat_$greatereq(rat_very_small, rat_very_large) & ~ rat_$greatereq(rat_9/16, % 22.19/3.86 rat_16/15) & ~ rat_$greatereq(rat_9/16, rat_3/4) & ~ % 22.19/3.86 rat_$greatereq(rat_9/16, rat_15/16) & ~ rat_$greatereq(rat_9/16, rat_3/5) & % 22.19/3.86 ~ rat_$greatereq(rat_9/16, rat_1) & ~ rat_$greatereq(rat_9/16, rat_16/25) & % 22.19/3.86 ~ rat_$greatereq(rat_9/16, rat_4/5) & ~ rat_$greatereq(rat_-3/2, rat_9/16) & % 22.19/3.86 ~ rat_$greatereq(rat_-3/2, rat_16/15) & ~ rat_$greatereq(rat_-3/2, rat_-4/3) % 22.19/3.86 & ~ rat_$greatereq(rat_-3/2, rat_1/20) & ~ rat_$greatereq(rat_-3/2, rat_3/4) % 22.19/3.86 & ~ rat_$greatereq(rat_-3/2, rat_15/16) & ~ rat_$greatereq(rat_-3/2, % 22.19/3.86 rat_3/5) & ~ rat_$greatereq(rat_-3/2, rat_-1/20) & ~ % 22.19/3.86 rat_$greatereq(rat_-3/2, rat_1) & ~ rat_$greatereq(rat_-3/2, rat_-5/4) & ~ % 22.19/3.86 rat_$greatereq(rat_-3/2, rat_16/25) & ~ rat_$greatereq(rat_-3/2, rat_4/5) & % 22.19/3.86 ~ rat_$greatereq(rat_-3/2, rat_-3/4) & ~ rat_$greatereq(rat_-3/2, rat_-4/5) & % 22.19/3.86 ~ rat_$greatereq(rat_-3/2, rat_0) & ~ rat_$greatereq(rat_-4/3, rat_9/16) & % 22.19/3.86 ~ rat_$greatereq(rat_-4/3, rat_16/15) & ~ rat_$greatereq(rat_-4/3, rat_1/20) % 22.19/3.86 & ~ rat_$greatereq(rat_-4/3, rat_3/4) & ~ rat_$greatereq(rat_-4/3, % 22.19/3.86 rat_15/16) & ~ rat_$greatereq(rat_-4/3, rat_3/5) & ~ % 22.19/3.86 rat_$greatereq(rat_-4/3, rat_-1/20) & ~ rat_$greatereq(rat_-4/3, rat_1) & ~ % 22.19/3.86 rat_$greatereq(rat_-4/3, rat_-5/4) & ~ rat_$greatereq(rat_-4/3, rat_16/25) & % 22.19/3.86 ~ rat_$greatereq(rat_-4/3, rat_4/5) & ~ rat_$greatereq(rat_-4/3, rat_-3/4) & % 22.19/3.86 ~ rat_$greatereq(rat_-4/3, rat_-4/5) & ~ rat_$greatereq(rat_-4/3, rat_0) & ~ % 22.19/3.86 rat_$greatereq(rat_1/20, rat_9/16) & ~ rat_$greatereq(rat_1/20, rat_16/15) & % 22.19/3.86 ~ rat_$greatereq(rat_1/20, rat_3/4) & ~ rat_$greatereq(rat_1/20, rat_15/16) & % 22.19/3.86 ~ rat_$greatereq(rat_1/20, rat_3/5) & ~ rat_$greatereq(rat_1/20, rat_1) & ~ % 22.19/3.86 rat_$greatereq(rat_1/20, rat_16/25) & ~ rat_$greatereq(rat_1/20, rat_4/5) & % 22.19/3.86 ~ rat_$greatereq(rat_3/4, rat_16/15) & ~ rat_$greatereq(rat_3/4, rat_15/16) & % 22.19/3.86 ~ rat_$greatereq(rat_3/4, rat_1) & ~ rat_$greatereq(rat_3/4, rat_4/5) & ~ % 22.19/3.86 rat_$greatereq(rat_15/16, rat_16/15) & ~ rat_$greatereq(rat_15/16, rat_1) & % 22.19/3.86 ~ rat_$greatereq(rat_3/5, rat_16/15) & ~ rat_$greatereq(rat_3/5, rat_3/4) & % 22.19/3.86 ~ rat_$greatereq(rat_3/5, rat_15/16) & ~ rat_$greatereq(rat_3/5, rat_1) & ~ % 22.19/3.86 rat_$greatereq(rat_3/5, rat_16/25) & ~ rat_$greatereq(rat_3/5, rat_4/5) & ~ % 22.19/3.86 rat_$greatereq(rat_-1/20, rat_9/16) & ~ rat_$greatereq(rat_-1/20, rat_16/15) % 22.19/3.86 & ~ rat_$greatereq(rat_-1/20, rat_1/20) & ~ rat_$greatereq(rat_-1/20, % 22.19/3.86 rat_3/4) & ~ rat_$greatereq(rat_-1/20, rat_15/16) & ~ % 22.19/3.86 rat_$greatereq(rat_-1/20, rat_3/5) & ~ rat_$greatereq(rat_-1/20, rat_1) & ~ % 22.19/3.86 rat_$greatereq(rat_-1/20, rat_16/25) & ~ rat_$greatereq(rat_-1/20, rat_4/5) & % 22.19/3.86 ~ rat_$greatereq(rat_-1/20, rat_0) & ~ rat_$greatereq(rat_-31/20, rat_9/16) % 22.19/3.86 & ~ rat_$greatereq(rat_-31/20, rat_-3/2) & ~ rat_$greatereq(rat_-31/20, % 22.19/3.86 rat_16/15) & ~ rat_$greatereq(rat_-31/20, rat_-4/3) & ~ % 22.19/3.86 rat_$greatereq(rat_-31/20, rat_1/20) & ~ rat_$greatereq(rat_-31/20, rat_3/4) % 22.19/3.86 & ~ rat_$greatereq(rat_-31/20, rat_15/16) & ~ rat_$greatereq(rat_-31/20, % 22.19/3.86 rat_3/5) & ~ rat_$greatereq(rat_-31/20, rat_-1/20) & ~ % 22.19/3.86 rat_$greatereq(rat_-31/20, rat_1) & ~ rat_$greatereq(rat_-31/20, rat_-5/4) & % 22.19/3.86 ~ rat_$greatereq(rat_-31/20, rat_16/25) & ~ rat_$greatereq(rat_-31/20, % 22.19/3.86 rat_4/5) & ~ rat_$greatereq(rat_-31/20, rat_-3/4) & ~ % 22.19/3.86 rat_$greatereq(rat_-31/20, rat_-4/5) & ~ rat_$greatereq(rat_-31/20, rat_0) & % 22.19/3.86 ~ rat_$greatereq(rat_1, rat_16/15) & ~ rat_$greatereq(rat_-5/4, rat_9/16) & % 22.19/3.86 ~ rat_$greatereq(rat_-5/4, rat_16/15) & ~ rat_$greatereq(rat_-5/4, rat_1/20) % 22.19/3.86 & ~ rat_$greatereq(rat_-5/4, rat_3/4) & ~ rat_$greatereq(rat_-5/4, % 22.19/3.86 rat_15/16) & ~ rat_$greatereq(rat_-5/4, rat_3/5) & ~ % 22.19/3.86 rat_$greatereq(rat_-5/4, rat_-1/20) & ~ rat_$greatereq(rat_-5/4, rat_1) & ~ % 22.19/3.86 rat_$greatereq(rat_-5/4, rat_16/25) & ~ rat_$greatereq(rat_-5/4, rat_4/5) & % 22.19/3.86 ~ rat_$greatereq(rat_-5/4, rat_-3/4) & ~ rat_$greatereq(rat_-5/4, rat_-4/5) & % 22.19/3.86 ~ rat_$greatereq(rat_-5/4, rat_0) & ~ rat_$greatereq(rat_16/25, rat_16/15) & % 22.19/3.86 ~ rat_$greatereq(rat_16/25, rat_3/4) & ~ rat_$greatereq(rat_16/25, % 22.19/3.86 rat_15/16) & ~ rat_$greatereq(rat_16/25, rat_1) & ~ % 22.19/3.86 rat_$greatereq(rat_16/25, rat_4/5) & ~ rat_$greatereq(rat_-8/5, rat_9/16) & % 22.19/3.86 ~ rat_$greatereq(rat_-8/5, rat_-3/2) & ~ rat_$greatereq(rat_-8/5, rat_16/15) % 22.19/3.86 & ~ rat_$greatereq(rat_-8/5, rat_-4/3) & ~ rat_$greatereq(rat_-8/5, % 22.19/3.86 rat_1/20) & ~ rat_$greatereq(rat_-8/5, rat_3/4) & ~ % 22.19/3.86 rat_$greatereq(rat_-8/5, rat_15/16) & ~ rat_$greatereq(rat_-8/5, rat_3/5) & % 22.19/3.86 ~ rat_$greatereq(rat_-8/5, rat_-1/20) & ~ rat_$greatereq(rat_-8/5, % 22.19/3.86 rat_-31/20) & ~ rat_$greatereq(rat_-8/5, rat_1) & ~ % 22.19/3.86 rat_$greatereq(rat_-8/5, rat_-5/4) & ~ rat_$greatereq(rat_-8/5, rat_16/25) & % 22.19/3.86 ~ rat_$greatereq(rat_-8/5, rat_4/5) & ~ rat_$greatereq(rat_-8/5, rat_-3/4) & % 22.19/3.86 ~ rat_$greatereq(rat_-8/5, rat_-4/5) & ~ rat_$greatereq(rat_-8/5, rat_0) & ~ % 22.19/3.86 rat_$greatereq(rat_4/5, rat_16/15) & ~ rat_$greatereq(rat_4/5, rat_15/16) & % 22.19/3.86 ~ rat_$greatereq(rat_4/5, rat_1) & ~ rat_$greatereq(rat_-3/4, rat_9/16) & ~ % 22.19/3.86 rat_$greatereq(rat_-3/4, rat_16/15) & ~ rat_$greatereq(rat_-3/4, rat_1/20) & % 22.19/3.86 ~ rat_$greatereq(rat_-3/4, rat_3/4) & ~ rat_$greatereq(rat_-3/4, rat_15/16) & % 22.19/3.86 ~ rat_$greatereq(rat_-3/4, rat_3/5) & ~ rat_$greatereq(rat_-3/4, rat_-1/20) % 22.19/3.86 & ~ rat_$greatereq(rat_-3/4, rat_1) & ~ rat_$greatereq(rat_-3/4, rat_16/25) % 22.19/3.86 & ~ rat_$greatereq(rat_-3/4, rat_4/5) & ~ rat_$greatereq(rat_-3/4, rat_0) & % 22.19/3.86 ~ rat_$greatereq(rat_-4/5, rat_9/16) & ~ rat_$greatereq(rat_-4/5, rat_16/15) % 22.19/3.86 & ~ rat_$greatereq(rat_-4/5, rat_1/20) & ~ rat_$greatereq(rat_-4/5, rat_3/4) % 22.19/3.86 & ~ rat_$greatereq(rat_-4/5, rat_15/16) & ~ rat_$greatereq(rat_-4/5, % 22.19/3.86 rat_3/5) & ~ rat_$greatereq(rat_-4/5, rat_-1/20) & ~ % 22.19/3.86 rat_$greatereq(rat_-4/5, rat_1) & ~ rat_$greatereq(rat_-4/5, rat_16/25) & ~ % 22.19/3.86 rat_$greatereq(rat_-4/5, rat_4/5) & ~ rat_$greatereq(rat_-4/5, rat_-3/4) & ~ % 22.19/3.86 rat_$greatereq(rat_-4/5, rat_0) & ~ rat_$greatereq(rat_0, rat_9/16) & ~ % 22.19/3.86 rat_$greatereq(rat_0, rat_16/15) & ~ rat_$greatereq(rat_0, rat_1/20) & ~ % 22.19/3.86 rat_$greatereq(rat_0, rat_3/4) & ~ rat_$greatereq(rat_0, rat_15/16) & ~ % 22.19/3.86 rat_$greatereq(rat_0, rat_3/5) & ~ rat_$greatereq(rat_0, rat_1) & ~ % 22.19/3.86 rat_$greatereq(rat_0, rat_16/25) & ~ rat_$greatereq(rat_0, rat_4/5) & ~ % 22.19/3.86 rat_$greater(rat_very_small, rat_very_large) & ~ rat_$greater(rat_9/16, % 22.19/3.86 rat_9/16) & ~ rat_$greater(rat_9/16, rat_16/15) & ~ rat_$greater(rat_9/16, % 22.19/3.86 rat_3/4) & ~ rat_$greater(rat_9/16, rat_15/16) & ~ rat_$greater(rat_9/16, % 22.19/3.86 rat_3/5) & ~ rat_$greater(rat_9/16, rat_1) & ~ rat_$greater(rat_9/16, % 22.19/3.86 rat_16/25) & ~ rat_$greater(rat_9/16, rat_4/5) & ~ rat_$greater(rat_-3/2, % 22.19/3.86 rat_9/16) & ~ rat_$greater(rat_-3/2, rat_-3/2) & ~ rat_$greater(rat_-3/2, % 22.19/3.86 rat_16/15) & ~ rat_$greater(rat_-3/2, rat_-4/3) & ~ rat_$greater(rat_-3/2, % 22.19/3.86 rat_1/20) & ~ rat_$greater(rat_-3/2, rat_3/4) & ~ rat_$greater(rat_-3/2, % 22.19/3.86 rat_15/16) & ~ rat_$greater(rat_-3/2, rat_3/5) & ~ rat_$greater(rat_-3/2, % 22.19/3.86 rat_-1/20) & ~ rat_$greater(rat_-3/2, rat_1) & ~ rat_$greater(rat_-3/2, % 22.19/3.86 rat_-5/4) & ~ rat_$greater(rat_-3/2, rat_16/25) & ~ rat_$greater(rat_-3/2, % 22.19/3.86 rat_4/5) & ~ rat_$greater(rat_-3/2, rat_-3/4) & ~ rat_$greater(rat_-3/2, % 22.19/3.86 rat_-4/5) & ~ rat_$greater(rat_-3/2, rat_0) & ~ rat_$greater(rat_16/15, % 22.19/3.86 rat_16/15) & ~ rat_$greater(rat_-4/3, rat_9/16) & ~ rat_$greater(rat_-4/3, % 22.19/3.86 rat_16/15) & ~ rat_$greater(rat_-4/3, rat_-4/3) & ~ rat_$greater(rat_-4/3, % 22.19/3.86 rat_1/20) & ~ rat_$greater(rat_-4/3, rat_3/4) & ~ rat_$greater(rat_-4/3, % 22.19/3.86 rat_15/16) & ~ rat_$greater(rat_-4/3, rat_3/5) & ~ rat_$greater(rat_-4/3, % 22.19/3.86 rat_-1/20) & ~ rat_$greater(rat_-4/3, rat_1) & ~ rat_$greater(rat_-4/3, % 22.19/3.86 rat_-5/4) & ~ rat_$greater(rat_-4/3, rat_16/25) & ~ rat_$greater(rat_-4/3, % 22.19/3.86 rat_4/5) & ~ rat_$greater(rat_-4/3, rat_-3/4) & ~ rat_$greater(rat_-4/3, % 22.19/3.86 rat_-4/5) & ~ rat_$greater(rat_-4/3, rat_0) & ~ rat_$greater(rat_1/20, % 22.19/3.86 rat_9/16) & ~ rat_$greater(rat_1/20, rat_16/15) & ~ rat_$greater(rat_1/20, % 22.19/3.86 rat_1/20) & ~ rat_$greater(rat_1/20, rat_3/4) & ~ rat_$greater(rat_1/20, % 22.19/3.86 rat_15/16) & ~ rat_$greater(rat_1/20, rat_3/5) & ~ rat_$greater(rat_1/20, % 22.19/3.86 rat_1) & ~ rat_$greater(rat_1/20, rat_16/25) & ~ rat_$greater(rat_1/20, % 22.19/3.86 rat_4/5) & ~ rat_$greater(rat_3/4, rat_16/15) & ~ rat_$greater(rat_3/4, % 22.19/3.86 rat_3/4) & ~ rat_$greater(rat_3/4, rat_15/16) & ~ rat_$greater(rat_3/4, % 22.19/3.86 rat_1) & ~ rat_$greater(rat_3/4, rat_4/5) & ~ rat_$greater(rat_15/16, % 22.19/3.86 rat_16/15) & ~ rat_$greater(rat_15/16, rat_15/16) & ~ % 22.19/3.86 rat_$greater(rat_15/16, rat_1) & ~ rat_$greater(rat_3/5, rat_16/15) & ~ % 22.19/3.86 rat_$greater(rat_3/5, rat_3/4) & ~ rat_$greater(rat_3/5, rat_15/16) & ~ % 22.19/3.86 rat_$greater(rat_3/5, rat_3/5) & ~ rat_$greater(rat_3/5, rat_1) & ~ % 22.19/3.86 rat_$greater(rat_3/5, rat_16/25) & ~ rat_$greater(rat_3/5, rat_4/5) & ~ % 22.19/3.86 rat_$greater(rat_-1/20, rat_9/16) & ~ rat_$greater(rat_-1/20, rat_16/15) & ~ % 22.19/3.86 rat_$greater(rat_-1/20, rat_1/20) & ~ rat_$greater(rat_-1/20, rat_3/4) & ~ % 22.19/3.86 rat_$greater(rat_-1/20, rat_15/16) & ~ rat_$greater(rat_-1/20, rat_3/5) & ~ % 22.19/3.86 rat_$greater(rat_-1/20, rat_-1/20) & ~ rat_$greater(rat_-1/20, rat_1) & ~ % 22.19/3.86 rat_$greater(rat_-1/20, rat_16/25) & ~ rat_$greater(rat_-1/20, rat_4/5) & ~ % 22.19/3.86 rat_$greater(rat_-1/20, rat_0) & ~ rat_$greater(rat_-31/20, rat_9/16) & ~ % 22.19/3.86 rat_$greater(rat_-31/20, rat_-3/2) & ~ rat_$greater(rat_-31/20, rat_16/15) & % 22.19/3.86 ~ rat_$greater(rat_-31/20, rat_-4/3) & ~ rat_$greater(rat_-31/20, rat_1/20) & % 22.19/3.86 ~ rat_$greater(rat_-31/20, rat_3/4) & ~ rat_$greater(rat_-31/20, rat_15/16) % 22.19/3.86 & ~ rat_$greater(rat_-31/20, rat_3/5) & ~ rat_$greater(rat_-31/20, % 22.19/3.86 rat_-1/20) & ~ rat_$greater(rat_-31/20, rat_-31/20) & ~ % 22.19/3.86 rat_$greater(rat_-31/20, rat_1) & ~ rat_$greater(rat_-31/20, rat_-5/4) & ~ % 22.19/3.86 rat_$greater(rat_-31/20, rat_16/25) & ~ rat_$greater(rat_-31/20, rat_4/5) & % 22.19/3.86 ~ rat_$greater(rat_-31/20, rat_-3/4) & ~ rat_$greater(rat_-31/20, rat_-4/5) & % 22.19/3.86 ~ rat_$greater(rat_-31/20, rat_0) & ~ rat_$greater(rat_1, rat_16/15) & ~ % 22.19/3.86 rat_$greater(rat_1, rat_1) & ~ rat_$greater(rat_-5/4, rat_9/16) & ~ % 22.19/3.86 rat_$greater(rat_-5/4, rat_16/15) & ~ rat_$greater(rat_-5/4, rat_1/20) & ~ % 22.19/3.86 rat_$greater(rat_-5/4, rat_3/4) & ~ rat_$greater(rat_-5/4, rat_15/16) & ~ % 22.19/3.86 rat_$greater(rat_-5/4, rat_3/5) & ~ rat_$greater(rat_-5/4, rat_-1/20) & ~ % 22.19/3.86 rat_$greater(rat_-5/4, rat_1) & ~ rat_$greater(rat_-5/4, rat_-5/4) & ~ % 22.19/3.86 rat_$greater(rat_-5/4, rat_16/25) & ~ rat_$greater(rat_-5/4, rat_4/5) & ~ % 22.19/3.86 rat_$greater(rat_-5/4, rat_-3/4) & ~ rat_$greater(rat_-5/4, rat_-4/5) & ~ % 22.19/3.86 rat_$greater(rat_-5/4, rat_0) & ~ rat_$greater(rat_16/25, rat_16/15) & ~ % 22.19/3.86 rat_$greater(rat_16/25, rat_3/4) & ~ rat_$greater(rat_16/25, rat_15/16) & ~ % 22.19/3.86 rat_$greater(rat_16/25, rat_1) & ~ rat_$greater(rat_16/25, rat_16/25) & ~ % 22.19/3.86 rat_$greater(rat_16/25, rat_4/5) & ~ rat_$greater(rat_-8/5, rat_9/16) & ~ % 22.19/3.86 rat_$greater(rat_-8/5, rat_-3/2) & ~ rat_$greater(rat_-8/5, rat_16/15) & ~ % 22.19/3.86 rat_$greater(rat_-8/5, rat_-4/3) & ~ rat_$greater(rat_-8/5, rat_1/20) & ~ % 22.19/3.86 rat_$greater(rat_-8/5, rat_3/4) & ~ rat_$greater(rat_-8/5, rat_15/16) & ~ % 22.19/3.86 rat_$greater(rat_-8/5, rat_3/5) & ~ rat_$greater(rat_-8/5, rat_-1/20) & ~ % 22.19/3.86 rat_$greater(rat_-8/5, rat_-31/20) & ~ rat_$greater(rat_-8/5, rat_1) & ~ % 22.19/3.86 rat_$greater(rat_-8/5, rat_-5/4) & ~ rat_$greater(rat_-8/5, rat_16/25) & ~ % 22.19/3.86 rat_$greater(rat_-8/5, rat_-8/5) & ~ rat_$greater(rat_-8/5, rat_4/5) & ~ % 22.19/3.86 rat_$greater(rat_-8/5, rat_-3/4) & ~ rat_$greater(rat_-8/5, rat_-4/5) & ~ % 22.19/3.86 rat_$greater(rat_-8/5, rat_0) & ~ rat_$greater(rat_4/5, rat_16/15) & ~ % 22.19/3.86 rat_$greater(rat_4/5, rat_15/16) & ~ rat_$greater(rat_4/5, rat_1) & ~ % 22.19/3.86 rat_$greater(rat_4/5, rat_4/5) & ~ rat_$greater(rat_-3/4, rat_9/16) & ~ % 22.19/3.86 rat_$greater(rat_-3/4, rat_16/15) & ~ rat_$greater(rat_-3/4, rat_1/20) & ~ % 22.19/3.86 rat_$greater(rat_-3/4, rat_3/4) & ~ rat_$greater(rat_-3/4, rat_15/16) & ~ % 22.19/3.86 rat_$greater(rat_-3/4, rat_3/5) & ~ rat_$greater(rat_-3/4, rat_-1/20) & ~ % 22.19/3.86 rat_$greater(rat_-3/4, rat_1) & ~ rat_$greater(rat_-3/4, rat_16/25) & ~ % 22.19/3.86 rat_$greater(rat_-3/4, rat_4/5) & ~ rat_$greater(rat_-3/4, rat_-3/4) & ~ % 22.19/3.86 rat_$greater(rat_-3/4, rat_0) & ~ rat_$greater(rat_-4/5, rat_9/16) & ~ % 22.19/3.86 rat_$greater(rat_-4/5, rat_16/15) & ~ rat_$greater(rat_-4/5, rat_1/20) & ~ % 22.19/3.86 rat_$greater(rat_-4/5, rat_3/4) & ~ rat_$greater(rat_-4/5, rat_15/16) & ~ % 22.19/3.86 rat_$greater(rat_-4/5, rat_3/5) & ~ rat_$greater(rat_-4/5, rat_-1/20) & ~ % 22.19/3.86 rat_$greater(rat_-4/5, rat_1) & ~ rat_$greater(rat_-4/5, rat_16/25) & ~ % 22.19/3.86 rat_$greater(rat_-4/5, rat_4/5) & ~ rat_$greater(rat_-4/5, rat_-3/4) & ~ % 22.19/3.86 rat_$greater(rat_-4/5, rat_-4/5) & ~ rat_$greater(rat_-4/5, rat_0) & ~ % 22.19/3.86 rat_$greater(rat_0, rat_9/16) & ~ rat_$greater(rat_0, rat_16/15) & ~ % 22.19/3.86 rat_$greater(rat_0, rat_1/20) & ~ rat_$greater(rat_0, rat_3/4) & ~ % 22.19/3.86 rat_$greater(rat_0, rat_15/16) & ~ rat_$greater(rat_0, rat_3/5) & ~ % 22.19/3.86 rat_$greater(rat_0, rat_1) & ~ rat_$greater(rat_0, rat_16/25) & ~ % 22.19/3.86 rat_$greater(rat_0, rat_4/5) & ~ rat_$greater(rat_0, rat_0) & ~ % 22.19/3.86 rat_$lesseq(rat_9/16, rat_-3/2) & ~ rat_$lesseq(rat_9/16, rat_-4/3) & ~ % 22.19/3.86 rat_$lesseq(rat_9/16, rat_1/20) & ~ rat_$lesseq(rat_9/16, rat_-1/20) & ~ % 22.19/3.86 rat_$lesseq(rat_9/16, rat_-31/20) & ~ rat_$lesseq(rat_9/16, rat_-5/4) & ~ % 22.19/3.86 rat_$lesseq(rat_9/16, rat_-8/5) & ~ rat_$lesseq(rat_9/16, rat_-3/4) & ~ % 22.19/3.86 rat_$lesseq(rat_9/16, rat_-4/5) & ~ rat_$lesseq(rat_9/16, rat_0) & ~ % 22.19/3.86 rat_$lesseq(rat_-3/2, rat_-31/20) & ~ rat_$lesseq(rat_-3/2, rat_-8/5) & ~ % 22.19/3.86 rat_$lesseq(rat_16/15, rat_9/16) & ~ rat_$lesseq(rat_16/15, rat_-3/2) & ~ % 22.19/3.86 rat_$lesseq(rat_16/15, rat_-4/3) & ~ rat_$lesseq(rat_16/15, rat_1/20) & ~ % 22.19/3.86 rat_$lesseq(rat_16/15, rat_3/4) & ~ rat_$lesseq(rat_16/15, rat_15/16) & ~ % 22.19/3.86 rat_$lesseq(rat_16/15, rat_3/5) & ~ rat_$lesseq(rat_16/15, rat_-1/20) & ~ % 22.19/3.86 rat_$lesseq(rat_16/15, rat_-31/20) & ~ rat_$lesseq(rat_16/15, rat_1) & ~ % 22.19/3.86 rat_$lesseq(rat_16/15, rat_-5/4) & ~ rat_$lesseq(rat_16/15, rat_16/25) & ~ % 22.19/3.86 rat_$lesseq(rat_16/15, rat_-8/5) & ~ rat_$lesseq(rat_16/15, rat_4/5) & ~ % 22.19/3.86 rat_$lesseq(rat_16/15, rat_-3/4) & ~ rat_$lesseq(rat_16/15, rat_-4/5) & ~ % 22.19/3.86 rat_$lesseq(rat_16/15, rat_0) & ~ rat_$lesseq(rat_-4/3, rat_-3/2) & ~ % 22.19/3.86 rat_$lesseq(rat_-4/3, rat_-31/20) & ~ rat_$lesseq(rat_-4/3, rat_-8/5) & ~ % 22.19/3.86 rat_$lesseq(rat_1/20, rat_-3/2) & ~ rat_$lesseq(rat_1/20, rat_-4/3) & ~ % 22.19/3.86 rat_$lesseq(rat_1/20, rat_-1/20) & ~ rat_$lesseq(rat_1/20, rat_-31/20) & ~ % 22.19/3.86 rat_$lesseq(rat_1/20, rat_-5/4) & ~ rat_$lesseq(rat_1/20, rat_-8/5) & ~ % 22.19/3.86 rat_$lesseq(rat_1/20, rat_-3/4) & ~ rat_$lesseq(rat_1/20, rat_-4/5) & ~ % 22.19/3.86 rat_$lesseq(rat_1/20, rat_0) & ~ rat_$lesseq(rat_3/4, rat_9/16) & ~ % 22.19/3.86 rat_$lesseq(rat_3/4, rat_-3/2) & ~ rat_$lesseq(rat_3/4, rat_-4/3) & ~ % 22.19/3.86 rat_$lesseq(rat_3/4, rat_1/20) & ~ rat_$lesseq(rat_3/4, rat_3/5) & ~ % 22.19/3.86 rat_$lesseq(rat_3/4, rat_-1/20) & ~ rat_$lesseq(rat_3/4, rat_-31/20) & ~ % 22.19/3.86 rat_$lesseq(rat_3/4, rat_-5/4) & ~ rat_$lesseq(rat_3/4, rat_16/25) & ~ % 22.19/3.86 rat_$lesseq(rat_3/4, rat_-8/5) & ~ rat_$lesseq(rat_3/4, rat_-3/4) & ~ % 22.19/3.86 rat_$lesseq(rat_3/4, rat_-4/5) & ~ rat_$lesseq(rat_3/4, rat_0) & ~ % 22.19/3.86 rat_$lesseq(rat_15/16, rat_9/16) & ~ rat_$lesseq(rat_15/16, rat_-3/2) & ~ % 22.19/3.86 rat_$lesseq(rat_15/16, rat_-4/3) & ~ rat_$lesseq(rat_15/16, rat_1/20) & ~ % 22.19/3.86 rat_$lesseq(rat_15/16, rat_3/4) & ~ rat_$lesseq(rat_15/16, rat_3/5) & ~ % 22.19/3.86 rat_$lesseq(rat_15/16, rat_-1/20) & ~ rat_$lesseq(rat_15/16, rat_-31/20) & ~ % 22.19/3.86 rat_$lesseq(rat_15/16, rat_-5/4) & ~ rat_$lesseq(rat_15/16, rat_16/25) & ~ % 22.19/3.86 rat_$lesseq(rat_15/16, rat_-8/5) & ~ rat_$lesseq(rat_15/16, rat_4/5) & ~ % 22.19/3.86 rat_$lesseq(rat_15/16, rat_-3/4) & ~ rat_$lesseq(rat_15/16, rat_-4/5) & ~ % 22.19/3.86 rat_$lesseq(rat_15/16, rat_0) & ~ rat_$lesseq(rat_3/5, rat_9/16) & ~ % 22.19/3.86 rat_$lesseq(rat_3/5, rat_-3/2) & ~ rat_$lesseq(rat_3/5, rat_-4/3) & ~ % 22.19/3.86 rat_$lesseq(rat_3/5, rat_1/20) & ~ rat_$lesseq(rat_3/5, rat_-1/20) & ~ % 22.19/3.86 rat_$lesseq(rat_3/5, rat_-31/20) & ~ rat_$lesseq(rat_3/5, rat_-5/4) & ~ % 22.19/3.86 rat_$lesseq(rat_3/5, rat_-8/5) & ~ rat_$lesseq(rat_3/5, rat_-3/4) & ~ % 22.19/3.86 rat_$lesseq(rat_3/5, rat_-4/5) & ~ rat_$lesseq(rat_3/5, rat_0) & ~ % 22.19/3.86 rat_$lesseq(rat_-1/20, rat_-3/2) & ~ rat_$lesseq(rat_-1/20, rat_-4/3) & ~ % 22.19/3.86 rat_$lesseq(rat_-1/20, rat_-31/20) & ~ rat_$lesseq(rat_-1/20, rat_-5/4) & ~ % 22.19/3.86 rat_$lesseq(rat_-1/20, rat_-8/5) & ~ rat_$lesseq(rat_-1/20, rat_-3/4) & ~ % 22.19/3.86 rat_$lesseq(rat_-1/20, rat_-4/5) & ~ rat_$lesseq(rat_-31/20, rat_-8/5) & ~ % 22.19/3.86 rat_$lesseq(rat_1, rat_9/16) & ~ rat_$lesseq(rat_1, rat_-3/2) & ~ % 22.19/3.86 rat_$lesseq(rat_1, rat_-4/3) & ~ rat_$lesseq(rat_1, rat_1/20) & ~ % 22.19/3.86 rat_$lesseq(rat_1, rat_3/4) & ~ rat_$lesseq(rat_1, rat_15/16) & ~ % 22.19/3.86 rat_$lesseq(rat_1, rat_3/5) & ~ rat_$lesseq(rat_1, rat_-1/20) & ~ % 22.19/3.86 rat_$lesseq(rat_1, rat_-31/20) & ~ rat_$lesseq(rat_1, rat_-5/4) & ~ % 22.19/3.86 rat_$lesseq(rat_1, rat_16/25) & ~ rat_$lesseq(rat_1, rat_-8/5) & ~ % 22.19/3.86 rat_$lesseq(rat_1, rat_4/5) & ~ rat_$lesseq(rat_1, rat_-3/4) & ~ % 22.19/3.86 rat_$lesseq(rat_1, rat_-4/5) & ~ rat_$lesseq(rat_1, rat_0) & ~ % 22.19/3.86 rat_$lesseq(rat_-5/4, rat_-3/2) & ~ rat_$lesseq(rat_-5/4, rat_-4/3) & ~ % 22.19/3.86 rat_$lesseq(rat_-5/4, rat_-31/20) & ~ rat_$lesseq(rat_-5/4, rat_-8/5) & ~ % 22.19/3.86 rat_$lesseq(rat_16/25, rat_9/16) & ~ rat_$lesseq(rat_16/25, rat_-3/2) & ~ % 22.19/3.86 rat_$lesseq(rat_16/25, rat_-4/3) & ~ rat_$lesseq(rat_16/25, rat_1/20) & ~ % 22.19/3.86 rat_$lesseq(rat_16/25, rat_3/5) & ~ rat_$lesseq(rat_16/25, rat_-1/20) & ~ % 22.19/3.86 rat_$lesseq(rat_16/25, rat_-31/20) & ~ rat_$lesseq(rat_16/25, rat_-5/4) & ~ % 22.19/3.86 rat_$lesseq(rat_16/25, rat_-8/5) & ~ rat_$lesseq(rat_16/25, rat_-3/4) & ~ % 22.19/3.86 rat_$lesseq(rat_16/25, rat_-4/5) & ~ rat_$lesseq(rat_16/25, rat_0) & ~ % 22.19/3.86 rat_$lesseq(rat_4/5, rat_9/16) & ~ rat_$lesseq(rat_4/5, rat_-3/2) & ~ % 22.19/3.86 rat_$lesseq(rat_4/5, rat_-4/3) & ~ rat_$lesseq(rat_4/5, rat_1/20) & ~ % 22.19/3.86 rat_$lesseq(rat_4/5, rat_3/4) & ~ rat_$lesseq(rat_4/5, rat_3/5) & ~ % 22.19/3.86 rat_$lesseq(rat_4/5, rat_-1/20) & ~ rat_$lesseq(rat_4/5, rat_-31/20) & ~ % 22.19/3.86 rat_$lesseq(rat_4/5, rat_-5/4) & ~ rat_$lesseq(rat_4/5, rat_16/25) & ~ % 22.19/3.86 rat_$lesseq(rat_4/5, rat_-8/5) & ~ rat_$lesseq(rat_4/5, rat_-3/4) & ~ % 22.19/3.86 rat_$lesseq(rat_4/5, rat_-4/5) & ~ rat_$lesseq(rat_4/5, rat_0) & ~ % 22.19/3.86 rat_$lesseq(rat_-3/4, rat_-3/2) & ~ rat_$lesseq(rat_-3/4, rat_-4/3) & ~ % 22.19/3.86 rat_$lesseq(rat_-3/4, rat_-31/20) & ~ rat_$lesseq(rat_-3/4, rat_-5/4) & ~ % 22.19/3.86 rat_$lesseq(rat_-3/4, rat_-8/5) & ~ rat_$lesseq(rat_-3/4, rat_-4/5) & ~ % 22.19/3.86 rat_$lesseq(rat_-4/5, rat_-3/2) & ~ rat_$lesseq(rat_-4/5, rat_-4/3) & ~ % 22.19/3.86 rat_$lesseq(rat_-4/5, rat_-31/20) & ~ rat_$lesseq(rat_-4/5, rat_-5/4) & ~ % 22.19/3.86 rat_$lesseq(rat_-4/5, rat_-8/5) & ~ rat_$lesseq(rat_0, rat_-3/2) & ~ % 22.19/3.86 rat_$lesseq(rat_0, rat_-4/3) & ~ rat_$lesseq(rat_0, rat_-1/20) & ~ % 22.19/3.86 rat_$lesseq(rat_0, rat_-31/20) & ~ rat_$lesseq(rat_0, rat_-5/4) & ~ % 22.19/3.86 rat_$lesseq(rat_0, rat_-8/5) & ~ rat_$lesseq(rat_0, rat_-3/4) & ~ % 22.19/3.86 rat_$lesseq(rat_0, rat_-4/5) & ~ rat_$less(rat_9/16, rat_9/16) & ~ % 22.19/3.86 rat_$less(rat_9/16, rat_-3/2) & ~ rat_$less(rat_9/16, rat_-4/3) & ~ % 22.19/3.86 rat_$less(rat_9/16, rat_1/20) & ~ rat_$less(rat_9/16, rat_-1/20) & ~ % 22.19/3.86 rat_$less(rat_9/16, rat_-31/20) & ~ rat_$less(rat_9/16, rat_-5/4) & ~ % 22.19/3.86 rat_$less(rat_9/16, rat_-8/5) & ~ rat_$less(rat_9/16, rat_-3/4) & ~ % 22.19/3.86 rat_$less(rat_9/16, rat_-4/5) & ~ rat_$less(rat_9/16, rat_0) & ~ % 22.19/3.86 rat_$less(rat_-3/2, rat_-3/2) & ~ rat_$less(rat_-3/2, rat_-31/20) & ~ % 22.19/3.86 rat_$less(rat_-3/2, rat_-8/5) & ~ rat_$less(rat_16/15, rat_9/16) & ~ % 22.19/3.86 rat_$less(rat_16/15, rat_-3/2) & ~ rat_$less(rat_16/15, rat_16/15) & ~ % 22.19/3.86 rat_$less(rat_16/15, rat_-4/3) & ~ rat_$less(rat_16/15, rat_1/20) & ~ % 22.19/3.86 rat_$less(rat_16/15, rat_3/4) & ~ rat_$less(rat_16/15, rat_15/16) & ~ % 22.19/3.86 rat_$less(rat_16/15, rat_3/5) & ~ rat_$less(rat_16/15, rat_-1/20) & ~ % 22.19/3.86 rat_$less(rat_16/15, rat_-31/20) & ~ rat_$less(rat_16/15, rat_1) & ~ % 22.19/3.86 rat_$less(rat_16/15, rat_-5/4) & ~ rat_$less(rat_16/15, rat_16/25) & ~ % 22.19/3.86 rat_$less(rat_16/15, rat_-8/5) & ~ rat_$less(rat_16/15, rat_4/5) & ~ % 22.19/3.86 rat_$less(rat_16/15, rat_-3/4) & ~ rat_$less(rat_16/15, rat_-4/5) & ~ % 22.19/3.86 rat_$less(rat_16/15, rat_0) & ~ rat_$less(rat_-4/3, rat_-3/2) & ~ % 22.19/3.86 rat_$less(rat_-4/3, rat_-4/3) & ~ rat_$less(rat_-4/3, rat_-31/20) & ~ % 22.19/3.86 rat_$less(rat_-4/3, rat_-8/5) & ~ rat_$less(rat_1/20, rat_-3/2) & ~ % 22.19/3.86 rat_$less(rat_1/20, rat_-4/3) & ~ rat_$less(rat_1/20, rat_1/20) & ~ % 22.19/3.86 rat_$less(rat_1/20, rat_-1/20) & ~ rat_$less(rat_1/20, rat_-31/20) & ~ % 22.19/3.86 rat_$less(rat_1/20, rat_-5/4) & ~ rat_$less(rat_1/20, rat_-8/5) & ~ % 22.19/3.86 rat_$less(rat_1/20, rat_-3/4) & ~ rat_$less(rat_1/20, rat_-4/5) & ~ % 22.19/3.86 rat_$less(rat_1/20, rat_0) & ~ rat_$less(rat_3/4, rat_9/16) & ~ % 22.19/3.86 rat_$less(rat_3/4, rat_-3/2) & ~ rat_$less(rat_3/4, rat_-4/3) & ~ % 22.19/3.86 rat_$less(rat_3/4, rat_1/20) & ~ rat_$less(rat_3/4, rat_3/4) & ~ % 22.19/3.86 rat_$less(rat_3/4, rat_3/5) & ~ rat_$less(rat_3/4, rat_-1/20) & ~ % 22.19/3.86 rat_$less(rat_3/4, rat_-31/20) & ~ rat_$less(rat_3/4, rat_-5/4) & ~ % 22.19/3.86 rat_$less(rat_3/4, rat_16/25) & ~ rat_$less(rat_3/4, rat_-8/5) & ~ % 22.19/3.86 rat_$less(rat_3/4, rat_-3/4) & ~ rat_$less(rat_3/4, rat_-4/5) & ~ % 22.19/3.86 rat_$less(rat_3/4, rat_0) & ~ rat_$less(rat_15/16, rat_9/16) & ~ % 22.19/3.86 rat_$less(rat_15/16, rat_-3/2) & ~ rat_$less(rat_15/16, rat_-4/3) & ~ % 22.19/3.86 rat_$less(rat_15/16, rat_1/20) & ~ rat_$less(rat_15/16, rat_3/4) & ~ % 22.19/3.86 rat_$less(rat_15/16, rat_15/16) & ~ rat_$less(rat_15/16, rat_3/5) & ~ % 22.19/3.86 rat_$less(rat_15/16, rat_-1/20) & ~ rat_$less(rat_15/16, rat_-31/20) & ~ % 22.19/3.86 rat_$less(rat_15/16, rat_-5/4) & ~ rat_$less(rat_15/16, rat_16/25) & ~ % 22.19/3.86 rat_$less(rat_15/16, rat_-8/5) & ~ rat_$less(rat_15/16, rat_4/5) & ~ % 22.19/3.86 rat_$less(rat_15/16, rat_-3/4) & ~ rat_$less(rat_15/16, rat_-4/5) & ~ % 22.19/3.86 rat_$less(rat_15/16, rat_0) & ~ rat_$less(rat_3/5, rat_9/16) & ~ % 22.19/3.86 rat_$less(rat_3/5, rat_-3/2) & ~ rat_$less(rat_3/5, rat_-4/3) & ~ % 22.19/3.86 rat_$less(rat_3/5, rat_1/20) & ~ rat_$less(rat_3/5, rat_3/5) & ~ % 22.19/3.86 rat_$less(rat_3/5, rat_-1/20) & ~ rat_$less(rat_3/5, rat_-31/20) & ~ % 22.19/3.86 rat_$less(rat_3/5, rat_-5/4) & ~ rat_$less(rat_3/5, rat_-8/5) & ~ % 22.19/3.86 rat_$less(rat_3/5, rat_-3/4) & ~ rat_$less(rat_3/5, rat_-4/5) & ~ % 22.19/3.86 rat_$less(rat_3/5, rat_0) & ~ rat_$less(rat_-1/20, rat_-3/2) & ~ % 22.19/3.86 rat_$less(rat_-1/20, rat_-4/3) & ~ rat_$less(rat_-1/20, rat_-1/20) & ~ % 22.19/3.86 rat_$less(rat_-1/20, rat_-31/20) & ~ rat_$less(rat_-1/20, rat_-5/4) & ~ % 22.19/3.86 rat_$less(rat_-1/20, rat_-8/5) & ~ rat_$less(rat_-1/20, rat_-3/4) & ~ % 22.19/3.86 rat_$less(rat_-1/20, rat_-4/5) & ~ rat_$less(rat_-31/20, rat_-31/20) & ~ % 22.19/3.86 rat_$less(rat_-31/20, rat_-8/5) & ~ rat_$less(rat_1, rat_9/16) & ~ % 22.19/3.86 rat_$less(rat_1, rat_-3/2) & ~ rat_$less(rat_1, rat_-4/3) & ~ % 22.19/3.86 rat_$less(rat_1, rat_1/20) & ~ rat_$less(rat_1, rat_3/4) & ~ % 22.19/3.86 rat_$less(rat_1, rat_15/16) & ~ rat_$less(rat_1, rat_3/5) & ~ % 22.19/3.86 rat_$less(rat_1, rat_-1/20) & ~ rat_$less(rat_1, rat_-31/20) & ~ % 22.19/3.86 rat_$less(rat_1, rat_1) & ~ rat_$less(rat_1, rat_-5/4) & ~ rat_$less(rat_1, % 22.19/3.86 rat_16/25) & ~ rat_$less(rat_1, rat_-8/5) & ~ rat_$less(rat_1, rat_4/5) & % 22.19/3.86 ~ rat_$less(rat_1, rat_-3/4) & ~ rat_$less(rat_1, rat_-4/5) & ~ % 22.19/3.86 rat_$less(rat_1, rat_0) & ~ rat_$less(rat_-5/4, rat_-3/2) & ~ % 22.19/3.86 rat_$less(rat_-5/4, rat_-4/3) & ~ rat_$less(rat_-5/4, rat_-31/20) & ~ % 22.19/3.86 rat_$less(rat_-5/4, rat_-5/4) & ~ rat_$less(rat_-5/4, rat_-8/5) & ~ % 22.19/3.86 rat_$less(rat_16/25, rat_9/16) & ~ rat_$less(rat_16/25, rat_-3/2) & ~ % 22.19/3.86 rat_$less(rat_16/25, rat_-4/3) & ~ rat_$less(rat_16/25, rat_1/20) & ~ % 22.19/3.86 rat_$less(rat_16/25, rat_3/5) & ~ rat_$less(rat_16/25, rat_-1/20) & ~ % 22.19/3.86 rat_$less(rat_16/25, rat_-31/20) & ~ rat_$less(rat_16/25, rat_-5/4) & ~ % 22.19/3.86 rat_$less(rat_16/25, rat_16/25) & ~ rat_$less(rat_16/25, rat_-8/5) & ~ % 22.19/3.86 rat_$less(rat_16/25, rat_-3/4) & ~ rat_$less(rat_16/25, rat_-4/5) & ~ % 22.19/3.86 rat_$less(rat_16/25, rat_0) & ~ rat_$less(rat_-8/5, rat_-8/5) & ~ % 22.19/3.86 rat_$less(rat_4/5, rat_9/16) & ~ rat_$less(rat_4/5, rat_-3/2) & ~ % 22.19/3.86 rat_$less(rat_4/5, rat_-4/3) & ~ rat_$less(rat_4/5, rat_1/20) & ~ % 22.19/3.86 rat_$less(rat_4/5, rat_3/4) & ~ rat_$less(rat_4/5, rat_3/5) & ~ % 22.19/3.86 rat_$less(rat_4/5, rat_-1/20) & ~ rat_$less(rat_4/5, rat_-31/20) & ~ % 22.19/3.86 rat_$less(rat_4/5, rat_-5/4) & ~ rat_$less(rat_4/5, rat_16/25) & ~ % 22.19/3.86 rat_$less(rat_4/5, rat_-8/5) & ~ rat_$less(rat_4/5, rat_4/5) & ~ % 22.19/3.86 rat_$less(rat_4/5, rat_-3/4) & ~ rat_$less(rat_4/5, rat_-4/5) & ~ % 22.19/3.86 rat_$less(rat_4/5, rat_0) & ~ rat_$less(rat_-3/4, rat_-3/2) & ~ % 22.19/3.86 rat_$less(rat_-3/4, rat_-4/3) & ~ rat_$less(rat_-3/4, rat_-31/20) & ~ % 22.19/3.86 rat_$less(rat_-3/4, rat_-5/4) & ~ rat_$less(rat_-3/4, rat_-8/5) & ~ % 22.19/3.86 rat_$less(rat_-3/4, rat_-3/4) & ~ rat_$less(rat_-3/4, rat_-4/5) & ~ % 22.19/3.86 rat_$less(rat_-4/5, rat_-3/2) & ~ rat_$less(rat_-4/5, rat_-4/3) & ~ % 22.19/3.86 rat_$less(rat_-4/5, rat_-31/20) & ~ rat_$less(rat_-4/5, rat_-5/4) & ~ % 22.19/3.86 rat_$less(rat_-4/5, rat_-8/5) & ~ rat_$less(rat_-4/5, rat_-4/5) & ~ % 22.19/3.86 rat_$less(rat_0, rat_-3/2) & ~ rat_$less(rat_0, rat_-4/3) & ~ % 22.19/3.86 rat_$less(rat_0, rat_-1/20) & ~ rat_$less(rat_0, rat_-31/20) & ~ % 22.19/3.86 rat_$less(rat_0, rat_-5/4) & ~ rat_$less(rat_0, rat_-8/5) & ~ % 22.19/3.86 rat_$less(rat_0, rat_-3/4) & ~ rat_$less(rat_0, rat_-4/5) & ~ % 22.19/3.86 rat_$less(rat_0, rat_0) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! % 22.19/3.86 [v3: $rat] : ! [v4: $rat] : ( ~ (rat_$sum(v3, v0) = v4) | ~ (rat_$sum(v2, % 22.19/3.86 v1) = v3) | ? [v5: $rat] : (rat_$sum(v2, v5) = v4 & rat_$sum(v1, v0) = % 22.19/3.86 v5)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : ! % 22.19/3.86 [v4: $rat] : ( ~ (rat_$sum(v2, v3) = v4) | ~ (rat_$sum(v1, v0) = v3) | ? % 22.19/3.86 [v5: $rat] : (rat_$sum(v5, v0) = v4 & rat_$sum(v2, v1) = v5)) & ! [v0: % 22.19/3.86 $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : ( ~ (rat_$uminus(v0) % 22.19/3.86 = v2) | ~ (rat_$sum(v1, v2) = v3) | rat_$difference(v1, v0) = v3) & ! % 22.19/3.86 [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : (v0 = rat_0 | ~ % 22.19/3.86 (rat_$product(v1, v0) = v2) | rat_$quotient(v2, v0) = v1) & ! [v0: $rat] : % 22.19/3.86 ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$difference(v1, v0) = v2) | ? [v3: % 22.19/3.86 $rat] : (rat_$uminus(v0) = v3 & rat_$sum(v1, v3) = v2)) & ! [v0: $rat] : % 22.19/3.86 ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$sum(v1, v0) = v2) | rat_$sum(v0, v1) % 22.19/3.86 = v2) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$sum(v0, % 22.19/3.86 v1) = v2) | rat_$sum(v1, v0) = v2) & ! [v0: $rat] : ! [v1: $rat] : ! % 22.19/3.86 [v2: $rat] : ( ~ (rat_$product(v1, v0) = v2) | rat_$product(v0, v1) = v2) & ! % 22.19/3.86 [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$product(v0, v1) = v2) | % 22.19/3.86 rat_$product(v1, v0) = v2) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : % 22.19/3.86 ( ~ rat_$lesseq(v2, v1) | ~ rat_$lesseq(v1, v0) | rat_$lesseq(v2, v0)) & ! % 22.19/3.86 [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ rat_$lesseq(v2, v1) | ~ % 22.19/3.86 rat_$less(v1, v0) | rat_$less(v2, v0)) & ! [v0: $rat] : ! [v1: $rat] : ! % 22.19/3.86 [v2: $rat] : ( ~ rat_$lesseq(v1, v0) | ~ rat_$less(v2, v1) | rat_$less(v2, % 22.19/3.86 v0)) & ! [v0: $rat] : ! [v1: $rat] : (v1 = v0 | ~ (rat_$sum(v0, rat_0) % 22.19/3.86 = v1)) & ! [v0: $rat] : ! [v1: $rat] : (v1 = v0 | ~ rat_$lesseq(v1, v0) % 22.19/3.86 | rat_$less(v1, v0)) & ! [v0: $rat] : ! [v1: $rat] : ( ~ (rat_$uminus(v0) % 22.19/3.86 = v1) | rat_$uminus(v1) = v0) & ! [v0: $rat] : ! [v1: $rat] : ( ~ % 22.19/3.86 (rat_$uminus(v0) = v1) | rat_$sum(v0, v1) = rat_0) & ! [v0: $rat] : ! [v1: % 22.19/3.86 $rat] : ( ~ rat_$greatereq(v0, v1) | rat_$lesseq(v1, v0)) & ! [v0: $rat] : % 22.19/3.86 ! [v1: $rat] : ( ~ rat_$greater(v0, v1) | rat_$less(v1, v0)) & ! [v0: $rat] : % 22.19/3.86 ! [v1: $rat] : ( ~ rat_$lesseq(v1, v0) | rat_$greatereq(v0, v1)) & ! [v0: % 22.19/3.86 $rat] : ! [v1: $rat] : ( ~ rat_$less(v1, v0) | rat_$greater(v0, v1)) & ! % 22.19/3.86 [v0: $rat] : ! [v1: $rat] : ( ~ rat_$less(v1, v0) | rat_$lesseq(v1, v0)) & ! % 22.19/3.86 [v0: $rat] : (v0 = rat_0 | ~ (rat_$uminus(v0) = v0)) & ? [v0: $rat] : % 22.19/3.86 rat_$lesseq(v0, v0) % 22.19/3.86 % 22.19/3.86 Those formulas are unsatisfiable: % 22.19/3.86 --------------------------------- % 22.19/3.86 % 22.19/3.86 Begin of proof % 22.19/3.86 | % 22.19/3.86 | ALPHA: (input) implies: % 22.19/3.87 | (1) rat_$product(rat_15/16, rat_-4/5) = rat_-3/4 % 22.19/3.87 | % 22.19/3.87 | GROUND_INST: instantiating (rat_product_problem_23) with rat_15/16, % 22.19/3.87 | simplifying with (1) gives: % 22.19/3.87 | (2) $false % 22.19/3.87 | % 22.19/3.87 | CLOSE: (2) is inconsistent. % 22.19/3.87 | % 22.19/3.87 End of proof % 22.19/3.87 % SZS output end Proof for theBenchmark % 22.19/3.87 % 22.19/3.87 3252ms %------------------------------------------------------------------------------