%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ARI254_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 : n032.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 17:47:27 EDT 2023 % Result : Theorem 12.66s 2.30s % Output : Proof 20.25s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.08 % Problem : ARI254_1 : TPTP v8.1.2. Released v5.0.0. % 0.09/0.08 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.09/0.27 % Computer : n032.cluster.edu % 0.09/0.27 % Model : x86_64 x86_64 % 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.27 % Memory : 8042.1875MB % 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.27 % CPULimit : 300 % 0.09/0.27 % WCLimit : 300 % 0.09/0.27 % DateTime : Tue Aug 29 17:49:16 EDT 2023 % 0.09/0.27 % CPUTime : % 0.12/0.47 ________ _____ % 0.12/0.47 ___ __ \_________(_)________________________________ % 0.12/0.47 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.12/0.47 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.12/0.47 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.12/0.47 % 0.12/0.47 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.12/0.47 (2023-06-19) % 0.12/0.47 % 0.12/0.47 (c) Philipp Rümmer, 2009-2023 % 0.12/0.47 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.12/0.47 Amanda Stjerna. % 0.12/0.47 Free software under BSD-3-Clause. % 0.12/0.47 % 0.12/0.47 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.12/0.47 % 0.12/0.47 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.12/0.48 Running up to 7 provers in parallel. % 0.12/0.49 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.12/0.49 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.12/0.49 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.12/0.49 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.12/0.49 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.12/0.49 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.12/0.49 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.06/0.70 Prover 4: Warning: Problem contains rationals, using incomplete axiomatisation % 1.06/0.70 Prover 6: Warning: Problem contains rationals, using incomplete axiomatisation % 1.06/0.70 Prover 0: Warning: Problem contains rationals, using incomplete axiomatisation % 1.06/0.70 Prover 1: Warning: Problem contains rationals, using incomplete axiomatisation % 1.06/0.70 Prover 5: Warning: Problem contains rationals, using incomplete axiomatisation % 1.06/0.70 Prover 2: Warning: Problem contains rationals, using incomplete axiomatisation % 1.06/0.70 Prover 3: Warning: Problem contains rationals, using incomplete axiomatisation % 1.59/0.78 Prover 1: Preprocessing ... % 1.73/0.79 Prover 4: Preprocessing ... % 2.07/0.83 Prover 6: Preprocessing ... % 2.07/0.83 Prover 0: Preprocessing ... % 2.07/0.89 Prover 3: Preprocessing ... % 2.07/0.89 Prover 5: Preprocessing ... % 2.07/0.90 Prover 2: Preprocessing ... % 5.30/1.33 Prover 6: Proving ... % 5.30/1.33 Prover 1: Constructing countermodel ... % 5.93/1.40 Prover 4: Constructing countermodel ... % 5.93/1.41 Prover 0: Proving ... % 8.56/1.73 Prover 1: gave up % 8.56/1.73 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 8.56/1.73 Prover 7: Warning: Problem contains rationals, using incomplete axiomatisation % 8.56/1.81 Prover 2: Proving ... % 9.03/1.84 Prover 3: Constructing countermodel ... % 9.03/1.84 Prover 7: Preprocessing ... % 10.30/2.04 Prover 5: Proving ... % 12.30/2.20 Prover 7: Warning: ignoring some quantifiers % 12.30/2.22 Prover 7: Constructing countermodel ... % 12.66/2.30 Prover 0: proved (1816ms) % 12.66/2.30 % 12.66/2.30 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 12.66/2.30 % 12.66/2.30 Prover 3: stopped % 12.66/2.30 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 12.66/2.30 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 12.66/2.30 Prover 6: stopped % 12.66/2.30 Prover 5: stopped % 12.66/2.32 Prover 8: Warning: Problem contains rationals, using incomplete axiomatisation % 12.66/2.32 Prover 10: Warning: Problem contains rationals, using incomplete axiomatisation % 12.66/2.32 Prover 8: Preprocessing ... % 12.66/2.32 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 12.66/2.32 Prover 11: Warning: Problem contains rationals, using incomplete axiomatisation % 12.66/2.33 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 12.66/2.34 Prover 13: Warning: Problem contains rationals, using incomplete axiomatisation % 12.66/2.34 Prover 13: Preprocessing ... % 13.39/2.36 Prover 10: Preprocessing ... % 13.39/2.37 Prover 11: Preprocessing ... % 13.80/2.41 Prover 8: Warning: ignoring some quantifiers % 13.80/2.42 Prover 8: Constructing countermodel ... % 13.80/2.43 Prover 13: Warning: ignoring some quantifiers % 13.80/2.43 Prover 13: Constructing countermodel ... % 13.80/2.53 Prover 2: stopped % 13.80/2.55 Prover 8: gave up % 14.54/2.55 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 14.54/2.56 Prover 16: Warning: Problem contains rationals, using incomplete axiomatisation % 14.54/2.56 Prover 13: gave up % 14.54/2.57 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 14.54/2.57 Prover 19: Warning: Problem contains rationals, using incomplete axiomatisation % 14.54/2.58 Prover 16: Preprocessing ... % 14.54/2.61 Prover 19: Preprocessing ... % 16.46/2.81 Prover 10: Warning: ignoring some quantifiers % 16.46/2.82 Prover 10: Constructing countermodel ... % 17.23/2.87 Prover 7: Found proof (size 3) % 17.23/2.87 Prover 7: proved (1146ms) % 17.23/2.87 Prover 10: stopped % 17.23/2.87 Prover 4: stopped % 17.62/2.90 Prover 16: stopped % 17.62/2.94 Prover 11: Constructing countermodel ... % 17.93/2.97 Prover 11: stopped % 19.11/3.27 Prover 19: Warning: ignoring some quantifiers % 19.11/3.28 Prover 19: Constructing countermodel ... % 19.11/3.29 Prover 19: stopped % 19.11/3.29 % 19.11/3.30 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 19.11/3.30 % 19.11/3.30 % SZS output start Proof for theBenchmark % 19.11/3.30 Assumptions after simplification: % 19.11/3.30 --------------------------------- % 19.11/3.30 % 19.11/3.30 (rat_sum_problem_9) % 19.51/3.34 ! [v0: $rat] : ~ (rat_$sum(v0, rat_3/16) = rat_1/2) % 19.51/3.34 % 19.51/3.34 (input) % 19.86/3.47 ~ (rat_very_large = rat_very_small) & ~ (rat_very_large = rat_9/256) & ~ % 19.86/3.47 (rat_very_large = rat_8/3) & ~ (rat_very_large = rat_16/3) & ~ % 19.86/3.47 (rat_very_large = rat_-5/16) & ~ (rat_very_large = rat_-3/16) & ~ % 19.86/3.47 (rat_very_large = rat_3/8) & ~ (rat_very_large = rat_3/32) & ~ % 19.86/3.47 (rat_very_large = rat_5/16) & ~ (rat_very_large = rat_11/16) & ~ % 19.86/3.47 (rat_very_large = rat_2) & ~ (rat_very_large = rat_1/4) & ~ (rat_very_large % 19.86/3.47 = rat_1) & ~ (rat_very_large = rat_-1/2) & ~ (rat_very_large = rat_1/2) & % 19.86/3.47 ~ (rat_very_large = rat_3/16) & ~ (rat_very_large = rat_0) & ~ % 19.86/3.47 (rat_very_small = rat_9/256) & ~ (rat_very_small = rat_8/3) & ~ % 19.86/3.47 (rat_very_small = rat_16/3) & ~ (rat_very_small = rat_-5/16) & ~ % 19.86/3.47 (rat_very_small = rat_-3/16) & ~ (rat_very_small = rat_3/8) & ~ % 19.86/3.47 (rat_very_small = rat_3/32) & ~ (rat_very_small = rat_5/16) & ~ % 19.86/3.47 (rat_very_small = rat_11/16) & ~ (rat_very_small = rat_2) & ~ % 19.86/3.47 (rat_very_small = rat_1/4) & ~ (rat_very_small = rat_1) & ~ (rat_very_small % 19.86/3.47 = rat_-1/2) & ~ (rat_very_small = rat_1/2) & ~ (rat_very_small = rat_3/16) % 19.86/3.47 & ~ (rat_very_small = rat_0) & ~ (rat_9/256 = rat_8/3) & ~ (rat_9/256 = % 19.86/3.47 rat_16/3) & ~ (rat_9/256 = rat_-5/16) & ~ (rat_9/256 = rat_-3/16) & ~ % 19.86/3.47 (rat_9/256 = rat_3/8) & ~ (rat_9/256 = rat_3/32) & ~ (rat_9/256 = rat_5/16) % 19.86/3.47 & ~ (rat_9/256 = rat_11/16) & ~ (rat_9/256 = rat_2) & ~ (rat_9/256 = % 19.86/3.47 rat_1/4) & ~ (rat_9/256 = rat_1) & ~ (rat_9/256 = rat_-1/2) & ~ % 19.86/3.47 (rat_9/256 = rat_1/2) & ~ (rat_9/256 = rat_3/16) & ~ (rat_9/256 = rat_0) & % 19.86/3.47 ~ (rat_8/3 = rat_16/3) & ~ (rat_8/3 = rat_-5/16) & ~ (rat_8/3 = rat_-3/16) & % 19.86/3.47 ~ (rat_8/3 = rat_3/8) & ~ (rat_8/3 = rat_3/32) & ~ (rat_8/3 = rat_5/16) & % 19.86/3.47 ~ (rat_8/3 = rat_11/16) & ~ (rat_8/3 = rat_2) & ~ (rat_8/3 = rat_1/4) & ~ % 19.86/3.47 (rat_8/3 = rat_1) & ~ (rat_8/3 = rat_-1/2) & ~ (rat_8/3 = rat_1/2) & ~ % 19.86/3.47 (rat_8/3 = rat_3/16) & ~ (rat_8/3 = rat_0) & ~ (rat_16/3 = rat_-5/16) & ~ % 19.86/3.47 (rat_16/3 = rat_-3/16) & ~ (rat_16/3 = rat_3/8) & ~ (rat_16/3 = rat_3/32) & % 19.86/3.47 ~ (rat_16/3 = rat_5/16) & ~ (rat_16/3 = rat_11/16) & ~ (rat_16/3 = rat_2) & % 19.86/3.47 ~ (rat_16/3 = rat_1/4) & ~ (rat_16/3 = rat_1) & ~ (rat_16/3 = rat_-1/2) & ~ % 19.86/3.47 (rat_16/3 = rat_1/2) & ~ (rat_16/3 = rat_3/16) & ~ (rat_16/3 = rat_0) & ~ % 19.86/3.47 (rat_-5/16 = rat_-3/16) & ~ (rat_-5/16 = rat_3/8) & ~ (rat_-5/16 = rat_3/32) % 19.86/3.47 & ~ (rat_-5/16 = rat_5/16) & ~ (rat_-5/16 = rat_11/16) & ~ (rat_-5/16 = % 19.86/3.47 rat_2) & ~ (rat_-5/16 = rat_1/4) & ~ (rat_-5/16 = rat_1) & ~ (rat_-5/16 = % 19.86/3.47 rat_-1/2) & ~ (rat_-5/16 = rat_1/2) & ~ (rat_-5/16 = rat_3/16) & ~ % 19.86/3.47 (rat_-5/16 = rat_0) & ~ (rat_-3/16 = rat_3/8) & ~ (rat_-3/16 = rat_3/32) & % 19.86/3.47 ~ (rat_-3/16 = rat_5/16) & ~ (rat_-3/16 = rat_11/16) & ~ (rat_-3/16 = rat_2) % 19.86/3.47 & ~ (rat_-3/16 = rat_1/4) & ~ (rat_-3/16 = rat_1) & ~ (rat_-3/16 = % 19.86/3.47 rat_-1/2) & ~ (rat_-3/16 = rat_1/2) & ~ (rat_-3/16 = rat_3/16) & ~ % 19.86/3.47 (rat_-3/16 = rat_0) & ~ (rat_3/8 = rat_3/32) & ~ (rat_3/8 = rat_5/16) & ~ % 19.86/3.47 (rat_3/8 = rat_11/16) & ~ (rat_3/8 = rat_2) & ~ (rat_3/8 = rat_1/4) & ~ % 19.86/3.47 (rat_3/8 = rat_1) & ~ (rat_3/8 = rat_-1/2) & ~ (rat_3/8 = rat_1/2) & ~ % 19.86/3.47 (rat_3/8 = rat_3/16) & ~ (rat_3/8 = rat_0) & ~ (rat_3/32 = rat_5/16) & ~ % 19.86/3.47 (rat_3/32 = rat_11/16) & ~ (rat_3/32 = rat_2) & ~ (rat_3/32 = rat_1/4) & ~ % 19.86/3.47 (rat_3/32 = rat_1) & ~ (rat_3/32 = rat_-1/2) & ~ (rat_3/32 = rat_1/2) & ~ % 19.86/3.47 (rat_3/32 = rat_3/16) & ~ (rat_3/32 = rat_0) & ~ (rat_5/16 = rat_11/16) & ~ % 19.86/3.47 (rat_5/16 = rat_2) & ~ (rat_5/16 = rat_1/4) & ~ (rat_5/16 = rat_1) & ~ % 19.86/3.47 (rat_5/16 = rat_-1/2) & ~ (rat_5/16 = rat_1/2) & ~ (rat_5/16 = rat_3/16) & % 19.86/3.47 ~ (rat_5/16 = rat_0) & ~ (rat_11/16 = rat_2) & ~ (rat_11/16 = rat_1/4) & ~ % 19.86/3.47 (rat_11/16 = rat_1) & ~ (rat_11/16 = rat_-1/2) & ~ (rat_11/16 = rat_1/2) & % 19.86/3.47 ~ (rat_11/16 = rat_3/16) & ~ (rat_11/16 = rat_0) & ~ (rat_2 = rat_1/4) & ~ % 19.86/3.47 (rat_2 = rat_1) & ~ (rat_2 = rat_-1/2) & ~ (rat_2 = rat_1/2) & ~ (rat_2 = % 19.86/3.47 rat_3/16) & ~ (rat_2 = rat_0) & ~ (rat_1/4 = rat_1) & ~ (rat_1/4 = % 19.86/3.47 rat_-1/2) & ~ (rat_1/4 = rat_1/2) & ~ (rat_1/4 = rat_3/16) & ~ (rat_1/4 = % 19.86/3.47 rat_0) & ~ (rat_1 = rat_-1/2) & ~ (rat_1 = rat_1/2) & ~ (rat_1 = % 19.86/3.47 rat_3/16) & ~ (rat_1 = rat_0) & ~ (rat_-1/2 = rat_1/2) & ~ (rat_-1/2 = % 19.86/3.47 rat_3/16) & ~ (rat_-1/2 = rat_0) & ~ (rat_1/2 = rat_3/16) & ~ (rat_1/2 = % 19.86/3.47 rat_0) & ~ (rat_3/16 = rat_0) & rat_$floor(rat_9/256) = rat_0 & % 19.86/3.47 rat_$floor(rat_8/3) = rat_2 & rat_$floor(rat_3/8) = rat_0 & % 19.86/3.47 rat_$floor(rat_3/32) = rat_0 & rat_$floor(rat_5/16) = rat_0 & % 19.86/3.47 rat_$floor(rat_11/16) = rat_0 & rat_$floor(rat_2) = rat_2 & % 19.86/3.47 rat_$floor(rat_1/4) = rat_0 & rat_$floor(rat_1) = rat_1 & rat_$floor(rat_1/2) % 19.86/3.47 = rat_0 & rat_$floor(rat_3/16) = rat_0 & rat_$floor(rat_0) = rat_0 & % 19.86/3.47 rat_$ceiling(rat_9/256) = rat_1 & rat_$ceiling(rat_-5/16) = rat_0 & % 19.86/3.47 rat_$ceiling(rat_-3/16) = rat_0 & rat_$ceiling(rat_3/8) = rat_1 & % 19.86/3.47 rat_$ceiling(rat_3/32) = rat_1 & rat_$ceiling(rat_5/16) = rat_1 & % 19.86/3.47 rat_$ceiling(rat_11/16) = rat_1 & rat_$ceiling(rat_2) = rat_2 & % 19.86/3.47 rat_$ceiling(rat_1/4) = rat_1 & rat_$ceiling(rat_1) = rat_1 & % 19.86/3.47 rat_$ceiling(rat_-1/2) = rat_0 & rat_$ceiling(rat_1/2) = rat_1 & % 19.86/3.47 rat_$ceiling(rat_3/16) = rat_1 & rat_$ceiling(rat_0) = rat_0 & % 19.86/3.47 rat_$truncate(rat_9/256) = rat_0 & rat_$truncate(rat_8/3) = rat_2 & % 19.86/3.47 rat_$truncate(rat_-5/16) = rat_0 & rat_$truncate(rat_-3/16) = rat_0 & % 19.86/3.47 rat_$truncate(rat_3/8) = rat_0 & rat_$truncate(rat_3/32) = rat_0 & % 19.86/3.47 rat_$truncate(rat_5/16) = rat_0 & rat_$truncate(rat_11/16) = rat_0 & % 19.86/3.47 rat_$truncate(rat_2) = rat_2 & rat_$truncate(rat_1/4) = rat_0 & % 19.86/3.47 rat_$truncate(rat_1) = rat_1 & rat_$truncate(rat_-1/2) = rat_0 & % 19.86/3.47 rat_$truncate(rat_1/2) = rat_0 & rat_$truncate(rat_3/16) = rat_0 & % 19.86/3.47 rat_$truncate(rat_0) = rat_0 & rat_$round(rat_9/256) = rat_0 & % 19.86/3.47 rat_$round(rat_-5/16) = rat_0 & rat_$round(rat_-3/16) = rat_0 & % 19.86/3.47 rat_$round(rat_3/8) = rat_0 & rat_$round(rat_3/32) = rat_0 & % 19.86/3.47 rat_$round(rat_5/16) = rat_0 & rat_$round(rat_11/16) = rat_1 & % 19.86/3.47 rat_$round(rat_2) = rat_2 & rat_$round(rat_1/4) = rat_0 & rat_$round(rat_1) = % 19.86/3.47 rat_1 & rat_$round(rat_-1/2) = rat_0 & rat_$round(rat_1/2) = rat_1 & % 19.86/3.47 rat_$round(rat_3/16) = rat_0 & rat_$round(rat_0) = rat_0 & % 19.86/3.47 rat_$to_int(rat_9/256) = 0 & rat_$to_int(rat_8/3) = 2 & rat_$to_int(rat_16/3) % 19.86/3.47 = 5 & rat_$to_int(rat_-5/16) = -1 & rat_$to_int(rat_-3/16) = -1 & % 19.86/3.47 rat_$to_int(rat_3/8) = 0 & rat_$to_int(rat_3/32) = 0 & rat_$to_int(rat_5/16) = % 19.86/3.47 0 & rat_$to_int(rat_11/16) = 0 & rat_$to_int(rat_2) = 2 & rat_$to_int(rat_1/4) % 19.86/3.47 = 0 & rat_$to_int(rat_1) = 1 & rat_$to_int(rat_-1/2) = -1 & % 19.86/3.47 rat_$to_int(rat_1/2) = 0 & rat_$to_int(rat_3/16) = 0 & rat_$to_int(rat_0) = 0 % 19.86/3.47 & rat_$to_rat(rat_9/256) = rat_9/256 & rat_$to_rat(rat_8/3) = rat_8/3 & % 19.86/3.47 rat_$to_rat(rat_16/3) = rat_16/3 & rat_$to_rat(rat_-5/16) = rat_-5/16 & % 19.86/3.47 rat_$to_rat(rat_-3/16) = rat_-3/16 & rat_$to_rat(rat_3/8) = rat_3/8 & % 19.86/3.48 rat_$to_rat(rat_3/32) = rat_3/32 & rat_$to_rat(rat_5/16) = rat_5/16 & % 19.86/3.48 rat_$to_rat(rat_11/16) = rat_11/16 & rat_$to_rat(rat_2) = rat_2 & % 19.86/3.48 rat_$to_rat(rat_1/4) = rat_1/4 & rat_$to_rat(rat_1) = rat_1 & % 19.86/3.48 rat_$to_rat(rat_-1/2) = rat_-1/2 & rat_$to_rat(rat_1/2) = rat_1/2 & % 19.86/3.48 rat_$to_rat(rat_3/16) = rat_3/16 & rat_$to_rat(rat_0) = rat_0 & % 19.86/3.48 rat_$to_real(rat_9/256) = real_9/256 & rat_$to_real(rat_8/3) = real_8/3 & % 19.86/3.48 rat_$to_real(rat_16/3) = real_16/3 & rat_$to_real(rat_-5/16) = real_-5/16 & % 19.86/3.48 rat_$to_real(rat_-3/16) = real_-3/16 & rat_$to_real(rat_3/8) = real_3/8 & % 19.86/3.48 rat_$to_real(rat_3/32) = real_3/32 & rat_$to_real(rat_5/16) = real_5/16 & % 19.86/3.48 rat_$to_real(rat_11/16) = real_11/16 & rat_$to_real(rat_2) = real_2 & % 19.86/3.48 rat_$to_real(rat_1/4) = real_1/4 & rat_$to_real(rat_1) = real_1 & % 19.86/3.48 rat_$to_real(rat_-1/2) = real_-1/2 & rat_$to_real(rat_1/2) = real_1/2 & % 19.86/3.48 rat_$to_real(rat_3/16) = real_3/16 & rat_$to_real(rat_0) = real_0 & % 19.86/3.48 int_$to_rat(2) = rat_2 & int_$to_rat(1) = rat_1 & int_$to_rat(0) = rat_0 & % 19.86/3.48 rat_$quotient(rat_9/256, rat_9/256) = rat_1 & rat_$quotient(rat_9/256, % 19.86/3.48 rat_-3/16) = rat_-3/16 & rat_$quotient(rat_9/256, rat_3/8) = rat_3/32 & % 19.86/3.48 rat_$quotient(rat_9/256, rat_3/32) = rat_3/8 & rat_$quotient(rat_9/256, rat_1) % 19.86/3.48 = rat_9/256 & rat_$quotient(rat_9/256, rat_3/16) = rat_3/16 & % 19.86/3.48 rat_$quotient(rat_8/3, rat_8/3) = rat_1 & rat_$quotient(rat_8/3, rat_16/3) = % 19.86/3.48 rat_1/2 & rat_$quotient(rat_8/3, rat_1) = rat_8/3 & rat_$quotient(rat_8/3, % 19.86/3.48 rat_1/2) = rat_16/3 & rat_$quotient(rat_16/3, rat_8/3) = rat_2 & % 19.86/3.48 rat_$quotient(rat_16/3, rat_16/3) = rat_1 & rat_$quotient(rat_16/3, rat_2) = % 19.86/3.48 rat_8/3 & rat_$quotient(rat_16/3, rat_1) = rat_16/3 & rat_$quotient(rat_-5/16, % 19.86/3.48 rat_-5/16) = rat_1 & rat_$quotient(rat_-5/16, rat_1) = rat_-5/16 & % 19.86/3.48 rat_$quotient(rat_-3/16, rat_-3/16) = rat_1 & rat_$quotient(rat_-3/16, % 19.86/3.48 rat_3/8) = rat_-1/2 & rat_$quotient(rat_-3/16, rat_1) = rat_-3/16 & % 19.86/3.48 rat_$quotient(rat_-3/16, rat_-1/2) = rat_3/8 & rat_$quotient(rat_3/8, rat_3/8) % 19.86/3.48 = rat_1 & rat_$quotient(rat_3/8, rat_2) = rat_3/16 & rat_$quotient(rat_3/8, % 19.86/3.48 rat_1) = rat_3/8 & rat_$quotient(rat_3/8, rat_3/16) = rat_2 & % 19.86/3.48 rat_$quotient(rat_3/32, rat_9/256) = rat_8/3 & rat_$quotient(rat_3/32, % 19.86/3.48 rat_8/3) = rat_9/256 & rat_$quotient(rat_3/32, rat_-3/16) = rat_-1/2 & % 19.86/3.48 rat_$quotient(rat_3/32, rat_3/8) = rat_1/4 & rat_$quotient(rat_3/32, rat_3/32) % 19.86/3.48 = rat_1 & rat_$quotient(rat_3/32, rat_1/4) = rat_3/8 & rat_$quotient(rat_3/32, % 19.86/3.48 rat_1) = rat_3/32 & rat_$quotient(rat_3/32, rat_-1/2) = rat_-3/16 & % 19.86/3.48 rat_$quotient(rat_3/32, rat_1/2) = rat_3/16 & rat_$quotient(rat_3/32, % 19.86/3.48 rat_3/16) = rat_1/2 & rat_$quotient(rat_5/16, rat_5/16) = rat_1 & % 19.86/3.48 rat_$quotient(rat_5/16, rat_1) = rat_5/16 & rat_$quotient(rat_11/16, % 19.86/3.48 rat_11/16) = rat_1 & rat_$quotient(rat_11/16, rat_1) = rat_11/16 & % 19.86/3.48 rat_$quotient(rat_2, rat_16/3) = rat_3/8 & rat_$quotient(rat_2, rat_3/8) = % 19.86/3.48 rat_16/3 & rat_$quotient(rat_2, rat_2) = rat_1 & rat_$quotient(rat_2, rat_1) = % 19.86/3.48 rat_2 & rat_$quotient(rat_1/4, rat_8/3) = rat_3/32 & rat_$quotient(rat_1/4, % 19.86/3.48 rat_3/32) = rat_8/3 & rat_$quotient(rat_1/4, rat_1/4) = rat_1 & % 19.86/3.48 rat_$quotient(rat_1/4, rat_1) = rat_1/4 & rat_$quotient(rat_1/4, rat_-1/2) = % 19.86/3.48 rat_-1/2 & rat_$quotient(rat_1/4, rat_1/2) = rat_1/2 & rat_$quotient(rat_1, % 19.86/3.48 rat_8/3) = rat_3/8 & rat_$quotient(rat_1, rat_16/3) = rat_3/16 & % 19.86/3.48 rat_$quotient(rat_1, rat_3/8) = rat_8/3 & rat_$quotient(rat_1, rat_2) = % 19.86/3.48 rat_1/2 & rat_$quotient(rat_1, rat_1) = rat_1 & rat_$quotient(rat_1, rat_1/2) % 19.86/3.48 = rat_2 & rat_$quotient(rat_1, rat_3/16) = rat_16/3 & rat_$quotient(rat_-1/2, % 19.86/3.48 rat_8/3) = rat_-3/16 & rat_$quotient(rat_-1/2, rat_-3/16) = rat_8/3 & % 19.86/3.48 rat_$quotient(rat_-1/2, rat_1) = rat_-1/2 & rat_$quotient(rat_-1/2, rat_-1/2) % 19.86/3.48 = rat_1 & rat_$quotient(rat_1/2, rat_8/3) = rat_3/16 & rat_$quotient(rat_1/2, % 19.86/3.48 rat_16/3) = rat_3/32 & rat_$quotient(rat_1/2, rat_3/32) = rat_16/3 & % 19.86/3.48 rat_$quotient(rat_1/2, rat_2) = rat_1/4 & rat_$quotient(rat_1/2, rat_1/4) = % 19.86/3.48 rat_2 & rat_$quotient(rat_1/2, rat_1) = rat_1/2 & rat_$quotient(rat_1/2, % 19.86/3.48 rat_1/2) = rat_1 & rat_$quotient(rat_1/2, rat_3/16) = rat_8/3 & % 19.86/3.48 rat_$quotient(rat_3/16, rat_9/256) = rat_16/3 & rat_$quotient(rat_3/16, % 19.86/3.48 rat_16/3) = rat_9/256 & rat_$quotient(rat_3/16, rat_3/8) = rat_1/2 & % 19.86/3.48 rat_$quotient(rat_3/16, rat_3/32) = rat_2 & rat_$quotient(rat_3/16, rat_2) = % 19.86/3.48 rat_3/32 & rat_$quotient(rat_3/16, rat_1) = rat_3/16 & rat_$quotient(rat_3/16, % 19.86/3.48 rat_1/2) = rat_3/8 & rat_$quotient(rat_3/16, rat_3/16) = rat_1 & % 19.86/3.48 rat_$quotient(rat_0, rat_9/256) = rat_0 & rat_$quotient(rat_0, rat_8/3) = % 19.86/3.48 rat_0 & rat_$quotient(rat_0, rat_16/3) = rat_0 & rat_$quotient(rat_0, % 19.86/3.48 rat_-5/16) = rat_0 & rat_$quotient(rat_0, rat_-3/16) = rat_0 & % 19.86/3.48 rat_$quotient(rat_0, rat_3/8) = rat_0 & rat_$quotient(rat_0, rat_3/32) = rat_0 % 19.86/3.48 & rat_$quotient(rat_0, rat_5/16) = rat_0 & rat_$quotient(rat_0, rat_11/16) = % 19.86/3.48 rat_0 & rat_$quotient(rat_0, rat_2) = rat_0 & rat_$quotient(rat_0, rat_1/4) = % 19.86/3.48 rat_0 & rat_$quotient(rat_0, rat_1) = rat_0 & rat_$quotient(rat_0, rat_-1/2) = % 19.86/3.48 rat_0 & rat_$quotient(rat_0, rat_1/2) = rat_0 & rat_$quotient(rat_0, rat_3/16) % 19.86/3.48 = rat_0 & rat_$product(rat_9/256, rat_8/3) = rat_3/32 & % 19.86/3.48 rat_$product(rat_9/256, rat_16/3) = rat_3/16 & rat_$product(rat_9/256, rat_1) % 19.86/3.48 = rat_9/256 & rat_$product(rat_9/256, rat_0) = rat_0 & rat_$product(rat_8/3, % 19.86/3.48 rat_9/256) = rat_3/32 & rat_$product(rat_8/3, rat_-3/16) = rat_-1/2 & % 19.86/3.48 rat_$product(rat_8/3, rat_3/8) = rat_1 & rat_$product(rat_8/3, rat_3/32) = % 19.86/3.48 rat_1/4 & rat_$product(rat_8/3, rat_2) = rat_16/3 & rat_$product(rat_8/3, % 19.86/3.48 rat_1) = rat_8/3 & rat_$product(rat_8/3, rat_3/16) = rat_1/2 & % 19.86/3.48 rat_$product(rat_8/3, rat_0) = rat_0 & rat_$product(rat_16/3, rat_9/256) = % 19.86/3.48 rat_3/16 & rat_$product(rat_16/3, rat_3/8) = rat_2 & rat_$product(rat_16/3, % 19.86/3.48 rat_3/32) = rat_1/2 & rat_$product(rat_16/3, rat_1) = rat_16/3 & % 19.86/3.48 rat_$product(rat_16/3, rat_1/2) = rat_8/3 & rat_$product(rat_16/3, rat_3/16) = % 19.86/3.48 rat_1 & rat_$product(rat_16/3, rat_0) = rat_0 & rat_$product(rat_-5/16, rat_1) % 19.86/3.48 = rat_-5/16 & rat_$product(rat_-5/16, rat_0) = rat_0 & rat_$product(rat_-3/16, % 19.86/3.48 rat_8/3) = rat_-1/2 & rat_$product(rat_-3/16, rat_-3/16) = rat_9/256 & % 19.86/3.48 rat_$product(rat_-3/16, rat_1) = rat_-3/16 & rat_$product(rat_-3/16, rat_-1/2) % 19.86/3.48 = rat_3/32 & rat_$product(rat_-3/16, rat_0) = rat_0 & rat_$product(rat_3/8, % 19.86/3.48 rat_8/3) = rat_1 & rat_$product(rat_3/8, rat_16/3) = rat_2 & % 19.86/3.48 rat_$product(rat_3/8, rat_3/32) = rat_9/256 & rat_$product(rat_3/8, rat_1/4) = % 19.86/3.48 rat_3/32 & rat_$product(rat_3/8, rat_1) = rat_3/8 & rat_$product(rat_3/8, % 19.86/3.48 rat_-1/2) = rat_-3/16 & rat_$product(rat_3/8, rat_1/2) = rat_3/16 & % 19.86/3.48 rat_$product(rat_3/8, rat_0) = rat_0 & rat_$product(rat_3/32, rat_8/3) = % 19.86/3.48 rat_1/4 & rat_$product(rat_3/32, rat_16/3) = rat_1/2 & rat_$product(rat_3/32, % 19.86/3.48 rat_3/8) = rat_9/256 & rat_$product(rat_3/32, rat_2) = rat_3/16 & % 19.86/3.48 rat_$product(rat_3/32, rat_1) = rat_3/32 & rat_$product(rat_3/32, rat_0) = % 19.86/3.48 rat_0 & rat_$product(rat_5/16, rat_1) = rat_5/16 & rat_$product(rat_5/16, % 19.86/3.48 rat_0) = rat_0 & rat_$product(rat_11/16, rat_1) = rat_11/16 & % 19.86/3.48 rat_$product(rat_11/16, rat_0) = rat_0 & rat_$product(rat_2, rat_8/3) = % 19.86/3.48 rat_16/3 & rat_$product(rat_2, rat_3/32) = rat_3/16 & rat_$product(rat_2, % 19.86/3.48 rat_1/4) = rat_1/2 & rat_$product(rat_2, rat_1) = rat_2 & % 19.86/3.48 rat_$product(rat_2, rat_1/2) = rat_1 & rat_$product(rat_2, rat_3/16) = rat_3/8 % 19.86/3.48 & rat_$product(rat_2, rat_0) = rat_0 & rat_$product(rat_1/4, rat_3/8) = % 19.86/3.48 rat_3/32 & rat_$product(rat_1/4, rat_2) = rat_1/2 & rat_$product(rat_1/4, % 19.86/3.48 rat_1) = rat_1/4 & rat_$product(rat_1/4, rat_0) = rat_0 & % 19.86/3.48 rat_$product(rat_1, rat_9/256) = rat_9/256 & rat_$product(rat_1, rat_8/3) = % 19.86/3.48 rat_8/3 & rat_$product(rat_1, rat_16/3) = rat_16/3 & rat_$product(rat_1, % 19.86/3.48 rat_-5/16) = rat_-5/16 & rat_$product(rat_1, rat_-3/16) = rat_-3/16 & % 19.86/3.48 rat_$product(rat_1, rat_3/8) = rat_3/8 & rat_$product(rat_1, rat_3/32) = % 19.86/3.48 rat_3/32 & rat_$product(rat_1, rat_5/16) = rat_5/16 & rat_$product(rat_1, % 19.86/3.48 rat_11/16) = rat_11/16 & rat_$product(rat_1, rat_2) = rat_2 & % 19.86/3.48 rat_$product(rat_1, rat_1/4) = rat_1/4 & rat_$product(rat_1, rat_1) = rat_1 & % 19.86/3.48 rat_$product(rat_1, rat_-1/2) = rat_-1/2 & rat_$product(rat_1, rat_1/2) = % 19.86/3.48 rat_1/2 & rat_$product(rat_1, rat_3/16) = rat_3/16 & rat_$product(rat_1, % 19.86/3.48 rat_0) = rat_0 & rat_$product(rat_-1/2, rat_-3/16) = rat_3/32 & % 19.86/3.48 rat_$product(rat_-1/2, rat_3/8) = rat_-3/16 & rat_$product(rat_-1/2, rat_1) = % 19.86/3.48 rat_-1/2 & rat_$product(rat_-1/2, rat_-1/2) = rat_1/4 & rat_$product(rat_-1/2, % 20.25/3.48 rat_0) = rat_0 & rat_$product(rat_1/2, rat_16/3) = rat_8/3 & % 20.25/3.48 rat_$product(rat_1/2, rat_3/8) = rat_3/16 & rat_$product(rat_1/2, rat_2) = % 20.25/3.48 rat_1 & rat_$product(rat_1/2, rat_1) = rat_1/2 & rat_$product(rat_1/2, % 20.25/3.48 rat_1/2) = rat_1/4 & rat_$product(rat_1/2, rat_3/16) = rat_3/32 & % 20.25/3.48 rat_$product(rat_1/2, rat_0) = rat_0 & rat_$product(rat_3/16, rat_8/3) = % 20.25/3.48 rat_1/2 & rat_$product(rat_3/16, rat_16/3) = rat_1 & rat_$product(rat_3/16, % 20.25/3.48 rat_2) = rat_3/8 & rat_$product(rat_3/16, rat_1) = rat_3/16 & % 20.25/3.48 rat_$product(rat_3/16, rat_1/2) = rat_3/32 & rat_$product(rat_3/16, rat_3/16) % 20.25/3.48 = rat_9/256 & rat_$product(rat_3/16, rat_0) = rat_0 & rat_$product(rat_0, % 20.25/3.48 rat_9/256) = rat_0 & rat_$product(rat_0, rat_8/3) = rat_0 & % 20.25/3.48 rat_$product(rat_0, rat_16/3) = rat_0 & rat_$product(rat_0, rat_-5/16) = rat_0 % 20.25/3.48 & rat_$product(rat_0, rat_-3/16) = rat_0 & rat_$product(rat_0, rat_3/8) = % 20.25/3.48 rat_0 & rat_$product(rat_0, rat_3/32) = rat_0 & rat_$product(rat_0, rat_5/16) % 20.25/3.48 = rat_0 & rat_$product(rat_0, rat_11/16) = rat_0 & rat_$product(rat_0, rat_2) % 20.25/3.48 = rat_0 & rat_$product(rat_0, rat_1/4) = rat_0 & rat_$product(rat_0, rat_1) = % 20.25/3.48 rat_0 & rat_$product(rat_0, rat_-1/2) = rat_0 & rat_$product(rat_0, rat_1/2) = % 20.25/3.48 rat_0 & rat_$product(rat_0, rat_3/16) = rat_0 & rat_$product(rat_0, rat_0) = % 20.25/3.48 rat_0 & rat_$difference(rat_9/256, rat_9/256) = rat_0 & % 20.25/3.48 rat_$difference(rat_9/256, rat_0) = rat_9/256 & rat_$difference(rat_8/3, % 20.25/3.48 rat_8/3) = rat_0 & rat_$difference(rat_8/3, rat_0) = rat_8/3 & % 20.25/3.48 rat_$difference(rat_16/3, rat_8/3) = rat_8/3 & rat_$difference(rat_16/3, % 20.25/3.48 rat_16/3) = rat_0 & rat_$difference(rat_16/3, rat_0) = rat_16/3 & % 20.25/3.48 rat_$difference(rat_-5/16, rat_-5/16) = rat_0 & rat_$difference(rat_-5/16, % 20.25/3.48 rat_-1/2) = rat_3/16 & rat_$difference(rat_-5/16, rat_3/16) = rat_-1/2 & % 20.25/3.48 rat_$difference(rat_-5/16, rat_0) = rat_-5/16 & rat_$difference(rat_-3/16, % 20.25/3.48 rat_-3/16) = rat_0 & rat_$difference(rat_-3/16, rat_5/16) = rat_-1/2 & % 20.25/3.48 rat_$difference(rat_-3/16, rat_-1/2) = rat_5/16 & rat_$difference(rat_-3/16, % 20.25/3.48 rat_0) = rat_-3/16 & rat_$difference(rat_3/8, rat_-5/16) = rat_11/16 & % 20.25/3.48 rat_$difference(rat_3/8, rat_3/8) = rat_0 & rat_$difference(rat_3/8, % 20.25/3.48 rat_11/16) = rat_-5/16 & rat_$difference(rat_3/8, rat_3/16) = rat_3/16 & % 20.25/3.48 rat_$difference(rat_3/8, rat_0) = rat_3/8 & rat_$difference(rat_3/32, % 20.25/3.48 rat_3/32) = rat_0 & rat_$difference(rat_3/32, rat_0) = rat_3/32 & % 20.25/3.48 rat_$difference(rat_5/16, rat_-3/16) = rat_1/2 & rat_$difference(rat_5/16, % 20.25/3.48 rat_5/16) = rat_0 & rat_$difference(rat_5/16, rat_1/2) = rat_-3/16 & % 20.25/3.48 rat_$difference(rat_5/16, rat_0) = rat_5/16 & rat_$difference(rat_11/16, % 20.25/3.48 rat_-5/16) = rat_1 & rat_$difference(rat_11/16, rat_3/8) = rat_5/16 & % 20.25/3.48 rat_$difference(rat_11/16, rat_5/16) = rat_3/8 & rat_$difference(rat_11/16, % 20.25/3.48 rat_11/16) = rat_0 & rat_$difference(rat_11/16, rat_1) = rat_-5/16 & % 20.25/3.48 rat_$difference(rat_11/16, rat_1/2) = rat_3/16 & rat_$difference(rat_11/16, % 20.25/3.48 rat_3/16) = rat_1/2 & rat_$difference(rat_11/16, rat_0) = rat_11/16 & % 20.25/3.48 rat_$difference(rat_2, rat_2) = rat_0 & rat_$difference(rat_2, rat_1) = rat_1 % 20.25/3.48 & rat_$difference(rat_2, rat_0) = rat_2 & rat_$difference(rat_1/4, rat_1/4) = % 20.25/3.48 rat_0 & rat_$difference(rat_1/4, rat_0) = rat_1/4 & rat_$difference(rat_1, % 20.25/3.48 rat_5/16) = rat_11/16 & rat_$difference(rat_1, rat_11/16) = rat_5/16 & % 20.25/3.48 rat_$difference(rat_1, rat_1) = rat_0 & rat_$difference(rat_1, rat_1/2) = % 20.25/3.48 rat_1/2 & rat_$difference(rat_1, rat_0) = rat_1 & rat_$difference(rat_-1/2, % 20.25/3.48 rat_-5/16) = rat_-3/16 & rat_$difference(rat_-1/2, rat_-3/16) = rat_-5/16 & % 20.25/3.48 rat_$difference(rat_-1/2, rat_-1/2) = rat_0 & rat_$difference(rat_-1/2, rat_0) % 20.25/3.48 = rat_-1/2 & rat_$difference(rat_1/2, rat_-3/16) = rat_11/16 & % 20.25/3.48 rat_$difference(rat_1/2, rat_5/16) = rat_3/16 & rat_$difference(rat_1/2, % 20.25/3.48 rat_11/16) = rat_-3/16 & rat_$difference(rat_1/2, rat_1/4) = rat_1/4 & % 20.25/3.48 rat_$difference(rat_1/2, rat_1) = rat_-1/2 & rat_$difference(rat_1/2, % 20.25/3.48 rat_-1/2) = rat_1 & rat_$difference(rat_1/2, rat_1/2) = rat_0 & % 20.25/3.48 rat_$difference(rat_1/2, rat_3/16) = rat_5/16 & rat_$difference(rat_1/2, % 20.25/3.48 rat_0) = rat_1/2 & rat_$difference(rat_3/16, rat_-5/16) = rat_1/2 & % 20.25/3.48 rat_$difference(rat_3/16, rat_-3/16) = rat_3/8 & rat_$difference(rat_3/16, % 20.25/3.48 rat_3/8) = rat_-3/16 & rat_$difference(rat_3/16, rat_3/32) = rat_3/32 & % 20.25/3.48 rat_$difference(rat_3/16, rat_11/16) = rat_-1/2 & rat_$difference(rat_3/16, % 20.25/3.48 rat_-1/2) = rat_11/16 & rat_$difference(rat_3/16, rat_1/2) = rat_-5/16 & % 20.25/3.48 rat_$difference(rat_3/16, rat_3/16) = rat_0 & rat_$difference(rat_3/16, rat_0) % 20.25/3.48 = rat_3/16 & rat_$difference(rat_0, rat_-5/16) = rat_5/16 & % 20.25/3.48 rat_$difference(rat_0, rat_-3/16) = rat_3/16 & rat_$difference(rat_0, % 20.25/3.48 rat_5/16) = rat_-5/16 & rat_$difference(rat_0, rat_-1/2) = rat_1/2 & % 20.25/3.48 rat_$difference(rat_0, rat_1/2) = rat_-1/2 & rat_$difference(rat_0, rat_3/16) % 20.25/3.48 = rat_-3/16 & rat_$difference(rat_0, rat_0) = rat_0 & rat_$uminus(rat_-5/16) = % 20.25/3.48 rat_5/16 & rat_$uminus(rat_-3/16) = rat_3/16 & rat_$uminus(rat_5/16) = % 20.25/3.48 rat_-5/16 & rat_$uminus(rat_-1/2) = rat_1/2 & rat_$uminus(rat_1/2) = rat_-1/2 % 20.25/3.48 & rat_$uminus(rat_3/16) = rat_-3/16 & rat_$uminus(rat_0) = rat_0 & % 20.25/3.48 rat_$sum(rat_9/256, rat_0) = rat_9/256 & rat_$sum(rat_8/3, rat_8/3) = rat_16/3 % 20.25/3.48 & rat_$sum(rat_8/3, rat_0) = rat_8/3 & rat_$sum(rat_16/3, rat_0) = rat_16/3 & % 20.25/3.48 rat_$sum(rat_-5/16, rat_-3/16) = rat_-1/2 & rat_$sum(rat_-5/16, rat_5/16) = % 20.25/3.48 rat_0 & rat_$sum(rat_-5/16, rat_11/16) = rat_3/8 & rat_$sum(rat_-5/16, rat_1) % 20.25/3.48 = rat_11/16 & rat_$sum(rat_-5/16, rat_1/2) = rat_3/16 & rat_$sum(rat_-5/16, % 20.25/3.48 rat_0) = rat_-5/16 & rat_$sum(rat_-3/16, rat_-5/16) = rat_-1/2 & % 20.25/3.48 rat_$sum(rat_-3/16, rat_3/8) = rat_3/16 & rat_$sum(rat_-3/16, rat_11/16) = % 20.25/3.48 rat_1/2 & rat_$sum(rat_-3/16, rat_1/2) = rat_5/16 & rat_$sum(rat_-3/16, % 20.25/3.48 rat_3/16) = rat_0 & rat_$sum(rat_-3/16, rat_0) = rat_-3/16 & % 20.25/3.48 rat_$sum(rat_3/8, rat_-3/16) = rat_3/16 & rat_$sum(rat_3/8, rat_5/16) = % 20.25/3.48 rat_11/16 & rat_$sum(rat_3/8, rat_0) = rat_3/8 & rat_$sum(rat_3/32, rat_3/32) % 20.25/3.48 = rat_3/16 & rat_$sum(rat_3/32, rat_0) = rat_3/32 & rat_$sum(rat_5/16, % 20.25/3.48 rat_-5/16) = rat_0 & rat_$sum(rat_5/16, rat_3/8) = rat_11/16 & % 20.25/3.48 rat_$sum(rat_5/16, rat_11/16) = rat_1 & rat_$sum(rat_5/16, rat_-1/2) = % 20.25/3.48 rat_-3/16 & rat_$sum(rat_5/16, rat_3/16) = rat_1/2 & rat_$sum(rat_5/16, rat_0) % 20.25/3.48 = rat_5/16 & rat_$sum(rat_11/16, rat_-5/16) = rat_3/8 & rat_$sum(rat_11/16, % 20.25/3.48 rat_-3/16) = rat_1/2 & rat_$sum(rat_11/16, rat_5/16) = rat_1 & % 20.25/3.48 rat_$sum(rat_11/16, rat_-1/2) = rat_3/16 & rat_$sum(rat_11/16, rat_0) = % 20.25/3.48 rat_11/16 & rat_$sum(rat_2, rat_0) = rat_2 & rat_$sum(rat_1/4, rat_1/4) = % 20.25/3.48 rat_1/2 & rat_$sum(rat_1/4, rat_0) = rat_1/4 & rat_$sum(rat_1, rat_-5/16) = % 20.25/3.48 rat_11/16 & rat_$sum(rat_1, rat_1) = rat_2 & rat_$sum(rat_1, rat_-1/2) = % 20.25/3.48 rat_1/2 & rat_$sum(rat_1, rat_0) = rat_1 & rat_$sum(rat_-1/2, rat_5/16) = % 20.25/3.48 rat_-3/16 & rat_$sum(rat_-1/2, rat_11/16) = rat_3/16 & rat_$sum(rat_-1/2, % 20.25/3.48 rat_1) = rat_1/2 & rat_$sum(rat_-1/2, rat_1/2) = rat_0 & rat_$sum(rat_-1/2, % 20.25/3.48 rat_3/16) = rat_-5/16 & rat_$sum(rat_-1/2, rat_0) = rat_-1/2 & % 20.25/3.48 rat_$sum(rat_1/2, rat_-5/16) = rat_3/16 & rat_$sum(rat_1/2, rat_-3/16) = % 20.25/3.48 rat_5/16 & rat_$sum(rat_1/2, rat_-1/2) = rat_0 & rat_$sum(rat_1/2, rat_1/2) = % 20.25/3.48 rat_1 & rat_$sum(rat_1/2, rat_3/16) = rat_11/16 & rat_$sum(rat_1/2, rat_0) = % 20.25/3.48 rat_1/2 & rat_$sum(rat_3/16, rat_-3/16) = rat_0 & rat_$sum(rat_3/16, rat_5/16) % 20.25/3.48 = rat_1/2 & rat_$sum(rat_3/16, rat_-1/2) = rat_-5/16 & rat_$sum(rat_3/16, % 20.25/3.48 rat_1/2) = rat_11/16 & rat_$sum(rat_3/16, rat_3/16) = rat_3/8 & % 20.25/3.48 rat_$sum(rat_3/16, rat_0) = rat_3/16 & rat_$sum(rat_0, rat_9/256) = rat_9/256 % 20.25/3.48 & rat_$sum(rat_0, rat_8/3) = rat_8/3 & rat_$sum(rat_0, rat_16/3) = rat_16/3 & % 20.25/3.48 rat_$sum(rat_0, rat_-5/16) = rat_-5/16 & rat_$sum(rat_0, rat_-3/16) = % 20.25/3.48 rat_-3/16 & rat_$sum(rat_0, rat_3/8) = rat_3/8 & rat_$sum(rat_0, rat_3/32) = % 20.25/3.48 rat_3/32 & rat_$sum(rat_0, rat_5/16) = rat_5/16 & rat_$sum(rat_0, rat_11/16) = % 20.25/3.48 rat_11/16 & rat_$sum(rat_0, rat_2) = rat_2 & rat_$sum(rat_0, rat_1/4) = % 20.25/3.48 rat_1/4 & rat_$sum(rat_0, rat_1) = rat_1 & rat_$sum(rat_0, rat_-1/2) = % 20.25/3.48 rat_-1/2 & rat_$sum(rat_0, rat_1/2) = rat_1/2 & rat_$sum(rat_0, rat_3/16) = % 20.25/3.48 rat_3/16 & rat_$sum(rat_0, rat_0) = rat_0 & rat_$is_rat(rat_9/256) & % 20.25/3.48 rat_$is_rat(rat_8/3) & rat_$is_rat(rat_16/3) & rat_$is_rat(rat_-5/16) & % 20.25/3.48 rat_$is_rat(rat_-3/16) & rat_$is_rat(rat_3/8) & rat_$is_rat(rat_3/32) & % 20.25/3.48 rat_$is_rat(rat_5/16) & rat_$is_rat(rat_11/16) & rat_$is_rat(rat_2) & % 20.25/3.48 rat_$is_rat(rat_1/4) & rat_$is_rat(rat_1) & rat_$is_rat(rat_-1/2) & % 20.25/3.48 rat_$is_rat(rat_1/2) & rat_$is_rat(rat_3/16) & rat_$is_rat(rat_0) & % 20.25/3.48 rat_$is_int(rat_2) & rat_$is_int(rat_1) & rat_$is_int(rat_0) & % 20.25/3.48 rat_$greatereq(rat_9/256, rat_9/256) & rat_$greatereq(rat_9/256, rat_-5/16) & % 20.25/3.48 rat_$greatereq(rat_9/256, rat_-3/16) & rat_$greatereq(rat_9/256, rat_-1/2) & % 20.25/3.48 rat_$greatereq(rat_9/256, rat_0) & rat_$greatereq(rat_8/3, rat_9/256) & % 20.25/3.48 rat_$greatereq(rat_8/3, rat_8/3) & rat_$greatereq(rat_8/3, rat_-5/16) & % 20.25/3.48 rat_$greatereq(rat_8/3, rat_-3/16) & rat_$greatereq(rat_8/3, rat_3/8) & % 20.25/3.48 rat_$greatereq(rat_8/3, rat_3/32) & rat_$greatereq(rat_8/3, rat_5/16) & % 20.25/3.48 rat_$greatereq(rat_8/3, rat_11/16) & rat_$greatereq(rat_8/3, rat_2) & % 20.25/3.48 rat_$greatereq(rat_8/3, rat_1/4) & rat_$greatereq(rat_8/3, rat_1) & % 20.25/3.48 rat_$greatereq(rat_8/3, rat_-1/2) & rat_$greatereq(rat_8/3, rat_1/2) & % 20.25/3.48 rat_$greatereq(rat_8/3, rat_3/16) & rat_$greatereq(rat_8/3, rat_0) & % 20.25/3.48 rat_$greatereq(rat_16/3, rat_9/256) & rat_$greatereq(rat_16/3, rat_8/3) & % 20.25/3.48 rat_$greatereq(rat_16/3, rat_16/3) & rat_$greatereq(rat_16/3, rat_-5/16) & % 20.25/3.48 rat_$greatereq(rat_16/3, rat_-3/16) & rat_$greatereq(rat_16/3, rat_3/8) & % 20.25/3.48 rat_$greatereq(rat_16/3, rat_3/32) & rat_$greatereq(rat_16/3, rat_5/16) & % 20.25/3.48 rat_$greatereq(rat_16/3, rat_11/16) & rat_$greatereq(rat_16/3, rat_2) & % 20.25/3.48 rat_$greatereq(rat_16/3, rat_1/4) & rat_$greatereq(rat_16/3, rat_1) & % 20.25/3.48 rat_$greatereq(rat_16/3, rat_-1/2) & rat_$greatereq(rat_16/3, rat_1/2) & % 20.25/3.48 rat_$greatereq(rat_16/3, rat_3/16) & rat_$greatereq(rat_16/3, rat_0) & % 20.25/3.48 rat_$greatereq(rat_-5/16, rat_-5/16) & rat_$greatereq(rat_-5/16, rat_-1/2) & % 20.25/3.48 rat_$greatereq(rat_-3/16, rat_-5/16) & rat_$greatereq(rat_-3/16, rat_-3/16) & % 20.25/3.48 rat_$greatereq(rat_-3/16, rat_-1/2) & rat_$greatereq(rat_3/8, rat_9/256) & % 20.25/3.48 rat_$greatereq(rat_3/8, rat_-5/16) & rat_$greatereq(rat_3/8, rat_-3/16) & % 20.25/3.48 rat_$greatereq(rat_3/8, rat_3/8) & rat_$greatereq(rat_3/8, rat_3/32) & % 20.25/3.48 rat_$greatereq(rat_3/8, rat_5/16) & rat_$greatereq(rat_3/8, rat_1/4) & % 20.25/3.48 rat_$greatereq(rat_3/8, rat_-1/2) & rat_$greatereq(rat_3/8, rat_3/16) & % 20.25/3.48 rat_$greatereq(rat_3/8, rat_0) & rat_$greatereq(rat_3/32, rat_9/256) & % 20.25/3.48 rat_$greatereq(rat_3/32, rat_-5/16) & rat_$greatereq(rat_3/32, rat_-3/16) & % 20.25/3.48 rat_$greatereq(rat_3/32, rat_3/32) & rat_$greatereq(rat_3/32, rat_-1/2) & % 20.25/3.48 rat_$greatereq(rat_3/32, rat_0) & rat_$greatereq(rat_5/16, rat_9/256) & % 20.25/3.48 rat_$greatereq(rat_5/16, rat_-5/16) & rat_$greatereq(rat_5/16, rat_-3/16) & % 20.25/3.48 rat_$greatereq(rat_5/16, rat_3/32) & rat_$greatereq(rat_5/16, rat_5/16) & % 20.25/3.48 rat_$greatereq(rat_5/16, rat_1/4) & rat_$greatereq(rat_5/16, rat_-1/2) & % 20.25/3.48 rat_$greatereq(rat_5/16, rat_3/16) & rat_$greatereq(rat_5/16, rat_0) & % 20.25/3.48 rat_$greatereq(rat_11/16, rat_9/256) & rat_$greatereq(rat_11/16, rat_-5/16) & % 20.25/3.48 rat_$greatereq(rat_11/16, rat_-3/16) & rat_$greatereq(rat_11/16, rat_3/8) & % 20.25/3.48 rat_$greatereq(rat_11/16, rat_3/32) & rat_$greatereq(rat_11/16, rat_5/16) & % 20.25/3.48 rat_$greatereq(rat_11/16, rat_11/16) & rat_$greatereq(rat_11/16, rat_1/4) & % 20.25/3.48 rat_$greatereq(rat_11/16, rat_-1/2) & rat_$greatereq(rat_11/16, rat_1/2) & % 20.25/3.48 rat_$greatereq(rat_11/16, rat_3/16) & rat_$greatereq(rat_11/16, rat_0) & % 20.25/3.48 rat_$greatereq(rat_2, rat_9/256) & rat_$greatereq(rat_2, rat_-5/16) & % 20.25/3.48 rat_$greatereq(rat_2, rat_-3/16) & rat_$greatereq(rat_2, rat_3/8) & % 20.25/3.48 rat_$greatereq(rat_2, rat_3/32) & rat_$greatereq(rat_2, rat_5/16) & % 20.25/3.48 rat_$greatereq(rat_2, rat_11/16) & rat_$greatereq(rat_2, rat_2) & % 20.25/3.48 rat_$greatereq(rat_2, rat_1/4) & rat_$greatereq(rat_2, rat_1) & % 20.25/3.48 rat_$greatereq(rat_2, rat_-1/2) & rat_$greatereq(rat_2, rat_1/2) & % 20.25/3.48 rat_$greatereq(rat_2, rat_3/16) & rat_$greatereq(rat_2, rat_0) & % 20.25/3.48 rat_$greatereq(rat_1/4, rat_9/256) & rat_$greatereq(rat_1/4, rat_-5/16) & % 20.25/3.48 rat_$greatereq(rat_1/4, rat_-3/16) & rat_$greatereq(rat_1/4, rat_3/32) & % 20.25/3.48 rat_$greatereq(rat_1/4, rat_1/4) & rat_$greatereq(rat_1/4, rat_-1/2) & % 20.25/3.48 rat_$greatereq(rat_1/4, rat_3/16) & rat_$greatereq(rat_1/4, rat_0) & % 20.25/3.48 rat_$greatereq(rat_1, rat_9/256) & rat_$greatereq(rat_1, rat_-5/16) & % 20.25/3.48 rat_$greatereq(rat_1, rat_-3/16) & rat_$greatereq(rat_1, rat_3/8) & % 20.25/3.48 rat_$greatereq(rat_1, rat_3/32) & rat_$greatereq(rat_1, rat_5/16) & % 20.25/3.48 rat_$greatereq(rat_1, rat_11/16) & rat_$greatereq(rat_1, rat_1/4) & % 20.25/3.48 rat_$greatereq(rat_1, rat_1) & rat_$greatereq(rat_1, rat_-1/2) & % 20.25/3.48 rat_$greatereq(rat_1, rat_1/2) & rat_$greatereq(rat_1, rat_3/16) & % 20.25/3.48 rat_$greatereq(rat_1, rat_0) & rat_$greatereq(rat_-1/2, rat_-1/2) & % 20.25/3.48 rat_$greatereq(rat_1/2, rat_9/256) & rat_$greatereq(rat_1/2, rat_-5/16) & % 20.25/3.48 rat_$greatereq(rat_1/2, rat_-3/16) & rat_$greatereq(rat_1/2, rat_3/8) & % 20.25/3.48 rat_$greatereq(rat_1/2, rat_3/32) & rat_$greatereq(rat_1/2, rat_5/16) & % 20.25/3.48 rat_$greatereq(rat_1/2, rat_1/4) & rat_$greatereq(rat_1/2, rat_-1/2) & % 20.25/3.48 rat_$greatereq(rat_1/2, rat_1/2) & rat_$greatereq(rat_1/2, rat_3/16) & % 20.25/3.48 rat_$greatereq(rat_1/2, rat_0) & rat_$greatereq(rat_3/16, rat_9/256) & % 20.25/3.48 rat_$greatereq(rat_3/16, rat_-5/16) & rat_$greatereq(rat_3/16, rat_-3/16) & % 20.25/3.48 rat_$greatereq(rat_3/16, rat_3/32) & rat_$greatereq(rat_3/16, rat_-1/2) & % 20.25/3.48 rat_$greatereq(rat_3/16, rat_3/16) & rat_$greatereq(rat_3/16, rat_0) & % 20.25/3.48 rat_$greatereq(rat_0, rat_-5/16) & rat_$greatereq(rat_0, rat_-3/16) & % 20.25/3.48 rat_$greatereq(rat_0, rat_-1/2) & rat_$greatereq(rat_0, rat_0) & % 20.25/3.48 rat_$greater(rat_very_large, rat_9/256) & rat_$greater(rat_very_large, % 20.25/3.48 rat_8/3) & rat_$greater(rat_very_large, rat_16/3) & % 20.25/3.48 rat_$greater(rat_very_large, rat_-5/16) & rat_$greater(rat_very_large, % 20.25/3.48 rat_-3/16) & rat_$greater(rat_very_large, rat_3/8) & % 20.25/3.48 rat_$greater(rat_very_large, rat_3/32) & rat_$greater(rat_very_large, % 20.25/3.48 rat_5/16) & rat_$greater(rat_very_large, rat_11/16) & % 20.25/3.48 rat_$greater(rat_very_large, rat_2) & rat_$greater(rat_very_large, rat_1/4) & % 20.25/3.48 rat_$greater(rat_very_large, rat_1) & rat_$greater(rat_very_large, rat_-1/2) & % 20.25/3.48 rat_$greater(rat_very_large, rat_1/2) & rat_$greater(rat_very_large, rat_3/16) % 20.25/3.48 & rat_$greater(rat_very_large, rat_0) & rat_$greater(rat_9/256, % 20.25/3.48 rat_very_small) & rat_$greater(rat_9/256, rat_-5/16) & % 20.25/3.48 rat_$greater(rat_9/256, rat_-3/16) & rat_$greater(rat_9/256, rat_-1/2) & % 20.25/3.48 rat_$greater(rat_9/256, rat_0) & rat_$greater(rat_8/3, rat_very_small) & % 20.25/3.48 rat_$greater(rat_8/3, rat_9/256) & rat_$greater(rat_8/3, rat_-5/16) & % 20.25/3.48 rat_$greater(rat_8/3, rat_-3/16) & rat_$greater(rat_8/3, rat_3/8) & % 20.25/3.48 rat_$greater(rat_8/3, rat_3/32) & rat_$greater(rat_8/3, rat_5/16) & % 20.25/3.48 rat_$greater(rat_8/3, rat_11/16) & rat_$greater(rat_8/3, rat_2) & % 20.25/3.48 rat_$greater(rat_8/3, rat_1/4) & rat_$greater(rat_8/3, rat_1) & % 20.25/3.48 rat_$greater(rat_8/3, rat_-1/2) & rat_$greater(rat_8/3, rat_1/2) & % 20.25/3.48 rat_$greater(rat_8/3, rat_3/16) & rat_$greater(rat_8/3, rat_0) & % 20.25/3.48 rat_$greater(rat_16/3, rat_very_small) & rat_$greater(rat_16/3, rat_9/256) & % 20.25/3.48 rat_$greater(rat_16/3, rat_8/3) & rat_$greater(rat_16/3, rat_-5/16) & % 20.25/3.48 rat_$greater(rat_16/3, rat_-3/16) & rat_$greater(rat_16/3, rat_3/8) & % 20.25/3.48 rat_$greater(rat_16/3, rat_3/32) & rat_$greater(rat_16/3, rat_5/16) & % 20.25/3.48 rat_$greater(rat_16/3, rat_11/16) & rat_$greater(rat_16/3, rat_2) & % 20.25/3.48 rat_$greater(rat_16/3, rat_1/4) & rat_$greater(rat_16/3, rat_1) & % 20.25/3.48 rat_$greater(rat_16/3, rat_-1/2) & rat_$greater(rat_16/3, rat_1/2) & % 20.25/3.48 rat_$greater(rat_16/3, rat_3/16) & rat_$greater(rat_16/3, rat_0) & % 20.25/3.48 rat_$greater(rat_-5/16, rat_very_small) & rat_$greater(rat_-5/16, rat_-1/2) & % 20.25/3.48 rat_$greater(rat_-3/16, rat_very_small) & rat_$greater(rat_-3/16, rat_-5/16) & % 20.25/3.48 rat_$greater(rat_-3/16, rat_-1/2) & rat_$greater(rat_3/8, rat_very_small) & % 20.25/3.48 rat_$greater(rat_3/8, rat_9/256) & rat_$greater(rat_3/8, rat_-5/16) & % 20.25/3.48 rat_$greater(rat_3/8, rat_-3/16) & rat_$greater(rat_3/8, rat_3/32) & % 20.25/3.48 rat_$greater(rat_3/8, rat_5/16) & rat_$greater(rat_3/8, rat_1/4) & % 20.25/3.48 rat_$greater(rat_3/8, rat_-1/2) & rat_$greater(rat_3/8, rat_3/16) & % 20.25/3.48 rat_$greater(rat_3/8, rat_0) & rat_$greater(rat_3/32, rat_very_small) & % 20.25/3.48 rat_$greater(rat_3/32, rat_9/256) & rat_$greater(rat_3/32, rat_-5/16) & % 20.25/3.48 rat_$greater(rat_3/32, rat_-3/16) & rat_$greater(rat_3/32, rat_-1/2) & % 20.25/3.48 rat_$greater(rat_3/32, rat_0) & rat_$greater(rat_5/16, rat_very_small) & % 20.25/3.48 rat_$greater(rat_5/16, rat_9/256) & rat_$greater(rat_5/16, rat_-5/16) & % 20.25/3.48 rat_$greater(rat_5/16, rat_-3/16) & rat_$greater(rat_5/16, rat_3/32) & % 20.25/3.48 rat_$greater(rat_5/16, rat_1/4) & rat_$greater(rat_5/16, rat_-1/2) & % 20.25/3.48 rat_$greater(rat_5/16, rat_3/16) & rat_$greater(rat_5/16, rat_0) & % 20.25/3.48 rat_$greater(rat_11/16, rat_very_small) & rat_$greater(rat_11/16, rat_9/256) & % 20.25/3.48 rat_$greater(rat_11/16, rat_-5/16) & rat_$greater(rat_11/16, rat_-3/16) & % 20.25/3.48 rat_$greater(rat_11/16, rat_3/8) & rat_$greater(rat_11/16, rat_3/32) & % 20.25/3.48 rat_$greater(rat_11/16, rat_5/16) & rat_$greater(rat_11/16, rat_1/4) & % 20.25/3.48 rat_$greater(rat_11/16, rat_-1/2) & rat_$greater(rat_11/16, rat_1/2) & % 20.25/3.48 rat_$greater(rat_11/16, rat_3/16) & rat_$greater(rat_11/16, rat_0) & % 20.25/3.48 rat_$greater(rat_2, rat_very_small) & rat_$greater(rat_2, rat_9/256) & % 20.25/3.48 rat_$greater(rat_2, rat_-5/16) & rat_$greater(rat_2, rat_-3/16) & % 20.25/3.48 rat_$greater(rat_2, rat_3/8) & rat_$greater(rat_2, rat_3/32) & % 20.25/3.48 rat_$greater(rat_2, rat_5/16) & rat_$greater(rat_2, rat_11/16) & % 20.25/3.48 rat_$greater(rat_2, rat_1/4) & rat_$greater(rat_2, rat_1) & % 20.25/3.48 rat_$greater(rat_2, rat_-1/2) & rat_$greater(rat_2, rat_1/2) & % 20.25/3.48 rat_$greater(rat_2, rat_3/16) & rat_$greater(rat_2, rat_0) & % 20.25/3.48 rat_$greater(rat_1/4, rat_very_small) & rat_$greater(rat_1/4, rat_9/256) & % 20.25/3.48 rat_$greater(rat_1/4, rat_-5/16) & rat_$greater(rat_1/4, rat_-3/16) & % 20.25/3.48 rat_$greater(rat_1/4, rat_3/32) & rat_$greater(rat_1/4, rat_-1/2) & % 20.25/3.48 rat_$greater(rat_1/4, rat_3/16) & rat_$greater(rat_1/4, rat_0) & % 20.25/3.48 rat_$greater(rat_1, rat_very_small) & rat_$greater(rat_1, rat_9/256) & % 20.25/3.48 rat_$greater(rat_1, rat_-5/16) & rat_$greater(rat_1, rat_-3/16) & % 20.25/3.48 rat_$greater(rat_1, rat_3/8) & rat_$greater(rat_1, rat_3/32) & % 20.25/3.48 rat_$greater(rat_1, rat_5/16) & rat_$greater(rat_1, rat_11/16) & % 20.25/3.48 rat_$greater(rat_1, rat_1/4) & rat_$greater(rat_1, rat_-1/2) & % 20.25/3.48 rat_$greater(rat_1, rat_1/2) & rat_$greater(rat_1, rat_3/16) & % 20.25/3.48 rat_$greater(rat_1, rat_0) & rat_$greater(rat_-1/2, rat_very_small) & % 20.25/3.48 rat_$greater(rat_1/2, rat_very_small) & rat_$greater(rat_1/2, rat_9/256) & % 20.25/3.48 rat_$greater(rat_1/2, rat_-5/16) & rat_$greater(rat_1/2, rat_-3/16) & % 20.25/3.48 rat_$greater(rat_1/2, rat_3/8) & rat_$greater(rat_1/2, rat_3/32) & % 20.25/3.48 rat_$greater(rat_1/2, rat_5/16) & rat_$greater(rat_1/2, rat_1/4) & % 20.25/3.48 rat_$greater(rat_1/2, rat_-1/2) & rat_$greater(rat_1/2, rat_3/16) & % 20.25/3.48 rat_$greater(rat_1/2, rat_0) & rat_$greater(rat_3/16, rat_very_small) & % 20.25/3.48 rat_$greater(rat_3/16, rat_9/256) & rat_$greater(rat_3/16, rat_-5/16) & % 20.25/3.48 rat_$greater(rat_3/16, rat_-3/16) & rat_$greater(rat_3/16, rat_3/32) & % 20.25/3.48 rat_$greater(rat_3/16, rat_-1/2) & rat_$greater(rat_3/16, rat_0) & % 20.25/3.48 rat_$greater(rat_0, rat_very_small) & rat_$greater(rat_0, rat_-5/16) & % 20.25/3.48 rat_$greater(rat_0, rat_-3/16) & rat_$greater(rat_0, rat_-1/2) & % 20.25/3.48 rat_$lesseq(rat_very_small, rat_very_large) & rat_$lesseq(rat_9/256, % 20.25/3.48 rat_9/256) & rat_$lesseq(rat_9/256, rat_8/3) & rat_$lesseq(rat_9/256, % 20.25/3.48 rat_16/3) & rat_$lesseq(rat_9/256, rat_3/8) & rat_$lesseq(rat_9/256, % 20.25/3.48 rat_3/32) & rat_$lesseq(rat_9/256, rat_5/16) & rat_$lesseq(rat_9/256, % 20.25/3.48 rat_11/16) & rat_$lesseq(rat_9/256, rat_2) & rat_$lesseq(rat_9/256, rat_1/4) % 20.25/3.48 & rat_$lesseq(rat_9/256, rat_1) & rat_$lesseq(rat_9/256, rat_1/2) & % 20.25/3.48 rat_$lesseq(rat_9/256, rat_3/16) & rat_$lesseq(rat_8/3, rat_8/3) & % 20.25/3.48 rat_$lesseq(rat_8/3, rat_16/3) & rat_$lesseq(rat_16/3, rat_16/3) & % 20.25/3.48 rat_$lesseq(rat_-5/16, rat_9/256) & rat_$lesseq(rat_-5/16, rat_8/3) & % 20.25/3.48 rat_$lesseq(rat_-5/16, rat_16/3) & rat_$lesseq(rat_-5/16, rat_-5/16) & % 20.25/3.48 rat_$lesseq(rat_-5/16, rat_-3/16) & rat_$lesseq(rat_-5/16, rat_3/8) & % 20.25/3.48 rat_$lesseq(rat_-5/16, rat_3/32) & rat_$lesseq(rat_-5/16, rat_5/16) & % 20.25/3.48 rat_$lesseq(rat_-5/16, rat_11/16) & rat_$lesseq(rat_-5/16, rat_2) & % 20.25/3.48 rat_$lesseq(rat_-5/16, rat_1/4) & rat_$lesseq(rat_-5/16, rat_1) & % 20.25/3.48 rat_$lesseq(rat_-5/16, rat_1/2) & rat_$lesseq(rat_-5/16, rat_3/16) & % 20.25/3.48 rat_$lesseq(rat_-5/16, rat_0) & rat_$lesseq(rat_-3/16, rat_9/256) & % 20.25/3.48 rat_$lesseq(rat_-3/16, rat_8/3) & rat_$lesseq(rat_-3/16, rat_16/3) & % 20.25/3.48 rat_$lesseq(rat_-3/16, rat_-3/16) & rat_$lesseq(rat_-3/16, rat_3/8) & % 20.25/3.48 rat_$lesseq(rat_-3/16, rat_3/32) & rat_$lesseq(rat_-3/16, rat_5/16) & % 20.25/3.48 rat_$lesseq(rat_-3/16, rat_11/16) & rat_$lesseq(rat_-3/16, rat_2) & % 20.25/3.48 rat_$lesseq(rat_-3/16, rat_1/4) & rat_$lesseq(rat_-3/16, rat_1) & % 20.25/3.48 rat_$lesseq(rat_-3/16, rat_1/2) & rat_$lesseq(rat_-3/16, rat_3/16) & % 20.25/3.48 rat_$lesseq(rat_-3/16, rat_0) & rat_$lesseq(rat_3/8, rat_8/3) & % 20.25/3.48 rat_$lesseq(rat_3/8, rat_16/3) & rat_$lesseq(rat_3/8, rat_3/8) & % 20.25/3.48 rat_$lesseq(rat_3/8, rat_11/16) & rat_$lesseq(rat_3/8, rat_2) & % 20.25/3.48 rat_$lesseq(rat_3/8, rat_1) & rat_$lesseq(rat_3/8, rat_1/2) & % 20.25/3.48 rat_$lesseq(rat_3/32, rat_8/3) & rat_$lesseq(rat_3/32, rat_16/3) & % 20.25/3.48 rat_$lesseq(rat_3/32, rat_3/8) & rat_$lesseq(rat_3/32, rat_3/32) & % 20.25/3.48 rat_$lesseq(rat_3/32, rat_5/16) & rat_$lesseq(rat_3/32, rat_11/16) & % 20.25/3.48 rat_$lesseq(rat_3/32, rat_2) & rat_$lesseq(rat_3/32, rat_1/4) & % 20.25/3.48 rat_$lesseq(rat_3/32, rat_1) & rat_$lesseq(rat_3/32, rat_1/2) & % 20.25/3.48 rat_$lesseq(rat_3/32, rat_3/16) & rat_$lesseq(rat_5/16, rat_8/3) & % 20.25/3.48 rat_$lesseq(rat_5/16, rat_16/3) & rat_$lesseq(rat_5/16, rat_3/8) & % 20.25/3.48 rat_$lesseq(rat_5/16, rat_5/16) & rat_$lesseq(rat_5/16, rat_11/16) & % 20.25/3.48 rat_$lesseq(rat_5/16, rat_2) & rat_$lesseq(rat_5/16, rat_1) & % 20.25/3.48 rat_$lesseq(rat_5/16, rat_1/2) & rat_$lesseq(rat_11/16, rat_8/3) & % 20.25/3.48 rat_$lesseq(rat_11/16, rat_16/3) & rat_$lesseq(rat_11/16, rat_11/16) & % 20.25/3.48 rat_$lesseq(rat_11/16, rat_2) & rat_$lesseq(rat_11/16, rat_1) & % 20.25/3.48 rat_$lesseq(rat_2, rat_8/3) & rat_$lesseq(rat_2, rat_16/3) & % 20.25/3.48 rat_$lesseq(rat_2, rat_2) & rat_$lesseq(rat_1/4, rat_8/3) & % 20.25/3.48 rat_$lesseq(rat_1/4, rat_16/3) & rat_$lesseq(rat_1/4, rat_3/8) & % 20.25/3.48 rat_$lesseq(rat_1/4, rat_5/16) & rat_$lesseq(rat_1/4, rat_11/16) & % 20.25/3.48 rat_$lesseq(rat_1/4, rat_2) & rat_$lesseq(rat_1/4, rat_1/4) & % 20.25/3.48 rat_$lesseq(rat_1/4, rat_1) & rat_$lesseq(rat_1/4, rat_1/2) & % 20.25/3.48 rat_$lesseq(rat_1, rat_8/3) & rat_$lesseq(rat_1, rat_16/3) & % 20.25/3.48 rat_$lesseq(rat_1, rat_2) & rat_$lesseq(rat_1, rat_1) & rat_$lesseq(rat_-1/2, % 20.25/3.48 rat_9/256) & rat_$lesseq(rat_-1/2, rat_8/3) & rat_$lesseq(rat_-1/2, % 20.25/3.48 rat_16/3) & rat_$lesseq(rat_-1/2, rat_-5/16) & rat_$lesseq(rat_-1/2, % 20.25/3.48 rat_-3/16) & rat_$lesseq(rat_-1/2, rat_3/8) & rat_$lesseq(rat_-1/2, % 20.25/3.48 rat_3/32) & rat_$lesseq(rat_-1/2, rat_5/16) & rat_$lesseq(rat_-1/2, % 20.25/3.48 rat_11/16) & rat_$lesseq(rat_-1/2, rat_2) & rat_$lesseq(rat_-1/2, rat_1/4) & % 20.25/3.48 rat_$lesseq(rat_-1/2, rat_1) & rat_$lesseq(rat_-1/2, rat_-1/2) & % 20.25/3.48 rat_$lesseq(rat_-1/2, rat_1/2) & rat_$lesseq(rat_-1/2, rat_3/16) & % 20.25/3.48 rat_$lesseq(rat_-1/2, rat_0) & rat_$lesseq(rat_1/2, rat_8/3) & % 20.25/3.48 rat_$lesseq(rat_1/2, rat_16/3) & rat_$lesseq(rat_1/2, rat_11/16) & % 20.25/3.48 rat_$lesseq(rat_1/2, rat_2) & rat_$lesseq(rat_1/2, rat_1) & % 20.25/3.48 rat_$lesseq(rat_1/2, rat_1/2) & rat_$lesseq(rat_3/16, rat_8/3) & % 20.25/3.48 rat_$lesseq(rat_3/16, rat_16/3) & rat_$lesseq(rat_3/16, rat_3/8) & % 20.25/3.48 rat_$lesseq(rat_3/16, rat_5/16) & rat_$lesseq(rat_3/16, rat_11/16) & % 20.25/3.48 rat_$lesseq(rat_3/16, rat_2) & rat_$lesseq(rat_3/16, rat_1/4) & % 20.25/3.48 rat_$lesseq(rat_3/16, rat_1) & rat_$lesseq(rat_3/16, rat_1/2) & % 20.25/3.48 rat_$lesseq(rat_3/16, rat_3/16) & rat_$lesseq(rat_0, rat_9/256) & % 20.25/3.48 rat_$lesseq(rat_0, rat_8/3) & rat_$lesseq(rat_0, rat_16/3) & % 20.25/3.48 rat_$lesseq(rat_0, rat_3/8) & rat_$lesseq(rat_0, rat_3/32) & % 20.25/3.48 rat_$lesseq(rat_0, rat_5/16) & rat_$lesseq(rat_0, rat_11/16) & % 20.25/3.48 rat_$lesseq(rat_0, rat_2) & rat_$lesseq(rat_0, rat_1/4) & rat_$lesseq(rat_0, % 20.25/3.48 rat_1) & rat_$lesseq(rat_0, rat_1/2) & rat_$lesseq(rat_0, rat_3/16) & % 20.25/3.48 rat_$lesseq(rat_0, rat_0) & rat_$less(rat_very_small, rat_very_large) & % 20.25/3.48 rat_$less(rat_very_small, rat_9/256) & rat_$less(rat_very_small, rat_8/3) & % 20.25/3.48 rat_$less(rat_very_small, rat_16/3) & rat_$less(rat_very_small, rat_-5/16) & % 20.25/3.48 rat_$less(rat_very_small, rat_-3/16) & rat_$less(rat_very_small, rat_3/8) & % 20.25/3.48 rat_$less(rat_very_small, rat_3/32) & rat_$less(rat_very_small, rat_5/16) & % 20.25/3.48 rat_$less(rat_very_small, rat_11/16) & rat_$less(rat_very_small, rat_2) & % 20.25/3.48 rat_$less(rat_very_small, rat_1/4) & rat_$less(rat_very_small, rat_1) & % 20.25/3.48 rat_$less(rat_very_small, rat_-1/2) & rat_$less(rat_very_small, rat_1/2) & % 20.25/3.48 rat_$less(rat_very_small, rat_3/16) & rat_$less(rat_very_small, rat_0) & % 20.25/3.48 rat_$less(rat_9/256, rat_very_large) & rat_$less(rat_9/256, rat_8/3) & % 20.25/3.48 rat_$less(rat_9/256, rat_16/3) & rat_$less(rat_9/256, rat_3/8) & % 20.25/3.48 rat_$less(rat_9/256, rat_3/32) & rat_$less(rat_9/256, rat_5/16) & % 20.25/3.49 rat_$less(rat_9/256, rat_11/16) & rat_$less(rat_9/256, rat_2) & % 20.25/3.49 rat_$less(rat_9/256, rat_1/4) & rat_$less(rat_9/256, rat_1) & % 20.25/3.49 rat_$less(rat_9/256, rat_1/2) & rat_$less(rat_9/256, rat_3/16) & % 20.25/3.49 rat_$less(rat_8/3, rat_very_large) & rat_$less(rat_8/3, rat_16/3) & % 20.25/3.49 rat_$less(rat_16/3, rat_very_large) & rat_$less(rat_-5/16, rat_very_large) & % 20.25/3.49 rat_$less(rat_-5/16, rat_9/256) & rat_$less(rat_-5/16, rat_8/3) & % 20.25/3.49 rat_$less(rat_-5/16, rat_16/3) & rat_$less(rat_-5/16, rat_-3/16) & % 20.25/3.49 rat_$less(rat_-5/16, rat_3/8) & rat_$less(rat_-5/16, rat_3/32) & % 20.25/3.49 rat_$less(rat_-5/16, rat_5/16) & rat_$less(rat_-5/16, rat_11/16) & % 20.25/3.49 rat_$less(rat_-5/16, rat_2) & rat_$less(rat_-5/16, rat_1/4) & % 20.25/3.49 rat_$less(rat_-5/16, rat_1) & rat_$less(rat_-5/16, rat_1/2) & % 20.25/3.49 rat_$less(rat_-5/16, rat_3/16) & rat_$less(rat_-5/16, rat_0) & % 20.25/3.49 rat_$less(rat_-3/16, rat_very_large) & rat_$less(rat_-3/16, rat_9/256) & % 20.25/3.49 rat_$less(rat_-3/16, rat_8/3) & rat_$less(rat_-3/16, rat_16/3) & % 20.25/3.49 rat_$less(rat_-3/16, rat_3/8) & rat_$less(rat_-3/16, rat_3/32) & % 20.25/3.49 rat_$less(rat_-3/16, rat_5/16) & rat_$less(rat_-3/16, rat_11/16) & % 20.25/3.49 rat_$less(rat_-3/16, rat_2) & rat_$less(rat_-3/16, rat_1/4) & % 20.25/3.49 rat_$less(rat_-3/16, rat_1) & rat_$less(rat_-3/16, rat_1/2) & % 20.25/3.49 rat_$less(rat_-3/16, rat_3/16) & rat_$less(rat_-3/16, rat_0) & % 20.25/3.49 rat_$less(rat_3/8, rat_very_large) & rat_$less(rat_3/8, rat_8/3) & % 20.25/3.49 rat_$less(rat_3/8, rat_16/3) & rat_$less(rat_3/8, rat_11/16) & % 20.25/3.49 rat_$less(rat_3/8, rat_2) & rat_$less(rat_3/8, rat_1) & rat_$less(rat_3/8, % 20.25/3.49 rat_1/2) & rat_$less(rat_3/32, rat_very_large) & rat_$less(rat_3/32, % 20.25/3.49 rat_8/3) & rat_$less(rat_3/32, rat_16/3) & rat_$less(rat_3/32, rat_3/8) & % 20.25/3.49 rat_$less(rat_3/32, rat_5/16) & rat_$less(rat_3/32, rat_11/16) & % 20.25/3.49 rat_$less(rat_3/32, rat_2) & rat_$less(rat_3/32, rat_1/4) & % 20.25/3.49 rat_$less(rat_3/32, rat_1) & rat_$less(rat_3/32, rat_1/2) & % 20.25/3.49 rat_$less(rat_3/32, rat_3/16) & rat_$less(rat_5/16, rat_very_large) & % 20.25/3.49 rat_$less(rat_5/16, rat_8/3) & rat_$less(rat_5/16, rat_16/3) & % 20.25/3.49 rat_$less(rat_5/16, rat_3/8) & rat_$less(rat_5/16, rat_11/16) & % 20.25/3.49 rat_$less(rat_5/16, rat_2) & rat_$less(rat_5/16, rat_1) & rat_$less(rat_5/16, % 20.25/3.49 rat_1/2) & rat_$less(rat_11/16, rat_very_large) & rat_$less(rat_11/16, % 20.25/3.49 rat_8/3) & rat_$less(rat_11/16, rat_16/3) & rat_$less(rat_11/16, rat_2) & % 20.25/3.49 rat_$less(rat_11/16, rat_1) & rat_$less(rat_2, rat_very_large) & % 20.25/3.49 rat_$less(rat_2, rat_8/3) & rat_$less(rat_2, rat_16/3) & rat_$less(rat_1/4, % 20.25/3.49 rat_very_large) & rat_$less(rat_1/4, rat_8/3) & rat_$less(rat_1/4, rat_16/3) % 20.25/3.49 & rat_$less(rat_1/4, rat_3/8) & rat_$less(rat_1/4, rat_5/16) & % 20.25/3.49 rat_$less(rat_1/4, rat_11/16) & rat_$less(rat_1/4, rat_2) & rat_$less(rat_1/4, % 20.25/3.49 rat_1) & rat_$less(rat_1/4, rat_1/2) & rat_$less(rat_1, rat_very_large) & % 20.25/3.49 rat_$less(rat_1, rat_8/3) & rat_$less(rat_1, rat_16/3) & rat_$less(rat_1, % 20.25/3.49 rat_2) & rat_$less(rat_-1/2, rat_very_large) & rat_$less(rat_-1/2, % 20.25/3.49 rat_9/256) & rat_$less(rat_-1/2, rat_8/3) & rat_$less(rat_-1/2, rat_16/3) & % 20.25/3.49 rat_$less(rat_-1/2, rat_-5/16) & rat_$less(rat_-1/2, rat_-3/16) & % 20.25/3.49 rat_$less(rat_-1/2, rat_3/8) & rat_$less(rat_-1/2, rat_3/32) & % 20.25/3.49 rat_$less(rat_-1/2, rat_5/16) & rat_$less(rat_-1/2, rat_11/16) & % 20.25/3.49 rat_$less(rat_-1/2, rat_2) & rat_$less(rat_-1/2, rat_1/4) & % 20.25/3.49 rat_$less(rat_-1/2, rat_1) & rat_$less(rat_-1/2, rat_1/2) & % 20.25/3.49 rat_$less(rat_-1/2, rat_3/16) & rat_$less(rat_-1/2, rat_0) & % 20.25/3.49 rat_$less(rat_1/2, rat_very_large) & rat_$less(rat_1/2, rat_8/3) & % 20.25/3.49 rat_$less(rat_1/2, rat_16/3) & rat_$less(rat_1/2, rat_11/16) & % 20.25/3.49 rat_$less(rat_1/2, rat_2) & rat_$less(rat_1/2, rat_1) & rat_$less(rat_3/16, % 20.25/3.49 rat_very_large) & rat_$less(rat_3/16, rat_8/3) & rat_$less(rat_3/16, % 20.25/3.49 rat_16/3) & rat_$less(rat_3/16, rat_3/8) & rat_$less(rat_3/16, rat_5/16) & % 20.25/3.49 rat_$less(rat_3/16, rat_11/16) & rat_$less(rat_3/16, rat_2) & % 20.25/3.49 rat_$less(rat_3/16, rat_1/4) & rat_$less(rat_3/16, rat_1) & % 20.25/3.49 rat_$less(rat_3/16, rat_1/2) & rat_$less(rat_0, rat_very_large) & % 20.25/3.49 rat_$less(rat_0, rat_9/256) & rat_$less(rat_0, rat_8/3) & rat_$less(rat_0, % 20.25/3.49 rat_16/3) & rat_$less(rat_0, rat_3/8) & rat_$less(rat_0, rat_3/32) & % 20.25/3.49 rat_$less(rat_0, rat_5/16) & rat_$less(rat_0, rat_11/16) & rat_$less(rat_0, % 20.25/3.49 rat_2) & rat_$less(rat_0, rat_1/4) & rat_$less(rat_0, rat_1) & % 20.25/3.49 rat_$less(rat_0, rat_1/2) & rat_$less(rat_0, rat_3/16) & ~ % 20.25/3.49 rat_$is_int(rat_9/256) & ~ rat_$is_int(rat_8/3) & ~ rat_$is_int(rat_16/3) & % 20.25/3.49 ~ rat_$is_int(rat_-5/16) & ~ rat_$is_int(rat_-3/16) & ~ rat_$is_int(rat_3/8) % 20.25/3.49 & ~ rat_$is_int(rat_3/32) & ~ rat_$is_int(rat_5/16) & ~ % 20.25/3.49 rat_$is_int(rat_11/16) & ~ rat_$is_int(rat_1/4) & ~ rat_$is_int(rat_-1/2) & % 20.25/3.49 ~ rat_$is_int(rat_1/2) & ~ rat_$is_int(rat_3/16) & ~ % 20.25/3.49 rat_$greatereq(rat_very_small, rat_very_large) & ~ rat_$greatereq(rat_9/256, % 20.25/3.49 rat_8/3) & ~ rat_$greatereq(rat_9/256, rat_16/3) & ~ % 20.25/3.49 rat_$greatereq(rat_9/256, rat_3/8) & ~ rat_$greatereq(rat_9/256, rat_3/32) & % 20.25/3.49 ~ rat_$greatereq(rat_9/256, rat_5/16) & ~ rat_$greatereq(rat_9/256, % 20.25/3.49 rat_11/16) & ~ rat_$greatereq(rat_9/256, rat_2) & ~ % 20.25/3.49 rat_$greatereq(rat_9/256, rat_1/4) & ~ rat_$greatereq(rat_9/256, rat_1) & ~ % 20.25/3.49 rat_$greatereq(rat_9/256, rat_1/2) & ~ rat_$greatereq(rat_9/256, rat_3/16) & % 20.25/3.49 ~ rat_$greatereq(rat_8/3, rat_16/3) & ~ rat_$greatereq(rat_-5/16, rat_9/256) % 20.25/3.49 & ~ rat_$greatereq(rat_-5/16, rat_8/3) & ~ rat_$greatereq(rat_-5/16, % 20.25/3.49 rat_16/3) & ~ rat_$greatereq(rat_-5/16, rat_-3/16) & ~ % 20.25/3.49 rat_$greatereq(rat_-5/16, rat_3/8) & ~ rat_$greatereq(rat_-5/16, rat_3/32) & % 20.25/3.49 ~ rat_$greatereq(rat_-5/16, rat_5/16) & ~ rat_$greatereq(rat_-5/16, % 20.25/3.49 rat_11/16) & ~ rat_$greatereq(rat_-5/16, rat_2) & ~ % 20.25/3.49 rat_$greatereq(rat_-5/16, rat_1/4) & ~ rat_$greatereq(rat_-5/16, rat_1) & ~ % 20.25/3.49 rat_$greatereq(rat_-5/16, rat_1/2) & ~ rat_$greatereq(rat_-5/16, rat_3/16) & % 20.25/3.49 ~ rat_$greatereq(rat_-5/16, rat_0) & ~ rat_$greatereq(rat_-3/16, rat_9/256) & % 20.25/3.49 ~ rat_$greatereq(rat_-3/16, rat_8/3) & ~ rat_$greatereq(rat_-3/16, rat_16/3) % 20.25/3.49 & ~ rat_$greatereq(rat_-3/16, rat_3/8) & ~ rat_$greatereq(rat_-3/16, % 20.25/3.49 rat_3/32) & ~ rat_$greatereq(rat_-3/16, rat_5/16) & ~ % 20.25/3.49 rat_$greatereq(rat_-3/16, rat_11/16) & ~ rat_$greatereq(rat_-3/16, rat_2) & % 20.25/3.49 ~ rat_$greatereq(rat_-3/16, rat_1/4) & ~ rat_$greatereq(rat_-3/16, rat_1) & % 20.25/3.49 ~ rat_$greatereq(rat_-3/16, rat_1/2) & ~ rat_$greatereq(rat_-3/16, rat_3/16) % 20.25/3.49 & ~ rat_$greatereq(rat_-3/16, rat_0) & ~ rat_$greatereq(rat_3/8, rat_8/3) & % 20.25/3.49 ~ rat_$greatereq(rat_3/8, rat_16/3) & ~ rat_$greatereq(rat_3/8, rat_11/16) & % 20.25/3.49 ~ rat_$greatereq(rat_3/8, rat_2) & ~ rat_$greatereq(rat_3/8, rat_1) & ~ % 20.25/3.49 rat_$greatereq(rat_3/8, rat_1/2) & ~ rat_$greatereq(rat_3/32, rat_8/3) & ~ % 20.25/3.49 rat_$greatereq(rat_3/32, rat_16/3) & ~ rat_$greatereq(rat_3/32, rat_3/8) & ~ % 20.25/3.49 rat_$greatereq(rat_3/32, rat_5/16) & ~ rat_$greatereq(rat_3/32, rat_11/16) & % 20.25/3.49 ~ rat_$greatereq(rat_3/32, rat_2) & ~ rat_$greatereq(rat_3/32, rat_1/4) & ~ % 20.25/3.49 rat_$greatereq(rat_3/32, rat_1) & ~ rat_$greatereq(rat_3/32, rat_1/2) & ~ % 20.25/3.49 rat_$greatereq(rat_3/32, rat_3/16) & ~ rat_$greatereq(rat_5/16, rat_8/3) & ~ % 20.25/3.49 rat_$greatereq(rat_5/16, rat_16/3) & ~ rat_$greatereq(rat_5/16, rat_3/8) & ~ % 20.25/3.49 rat_$greatereq(rat_5/16, rat_11/16) & ~ rat_$greatereq(rat_5/16, rat_2) & ~ % 20.25/3.49 rat_$greatereq(rat_5/16, rat_1) & ~ rat_$greatereq(rat_5/16, rat_1/2) & ~ % 20.25/3.49 rat_$greatereq(rat_11/16, rat_8/3) & ~ rat_$greatereq(rat_11/16, rat_16/3) & % 20.25/3.49 ~ rat_$greatereq(rat_11/16, rat_2) & ~ rat_$greatereq(rat_11/16, rat_1) & ~ % 20.25/3.49 rat_$greatereq(rat_2, rat_8/3) & ~ rat_$greatereq(rat_2, rat_16/3) & ~ % 20.25/3.49 rat_$greatereq(rat_1/4, rat_8/3) & ~ rat_$greatereq(rat_1/4, rat_16/3) & ~ % 20.25/3.49 rat_$greatereq(rat_1/4, rat_3/8) & ~ rat_$greatereq(rat_1/4, rat_5/16) & ~ % 20.25/3.49 rat_$greatereq(rat_1/4, rat_11/16) & ~ rat_$greatereq(rat_1/4, rat_2) & ~ % 20.25/3.49 rat_$greatereq(rat_1/4, rat_1) & ~ rat_$greatereq(rat_1/4, rat_1/2) & ~ % 20.25/3.49 rat_$greatereq(rat_1, rat_8/3) & ~ rat_$greatereq(rat_1, rat_16/3) & ~ % 20.25/3.49 rat_$greatereq(rat_1, rat_2) & ~ rat_$greatereq(rat_-1/2, rat_9/256) & ~ % 20.25/3.49 rat_$greatereq(rat_-1/2, rat_8/3) & ~ rat_$greatereq(rat_-1/2, rat_16/3) & ~ % 20.25/3.49 rat_$greatereq(rat_-1/2, rat_-5/16) & ~ rat_$greatereq(rat_-1/2, rat_-3/16) & % 20.25/3.49 ~ rat_$greatereq(rat_-1/2, rat_3/8) & ~ rat_$greatereq(rat_-1/2, rat_3/32) & % 20.25/3.49 ~ rat_$greatereq(rat_-1/2, rat_5/16) & ~ rat_$greatereq(rat_-1/2, rat_11/16) % 20.25/3.49 & ~ rat_$greatereq(rat_-1/2, rat_2) & ~ rat_$greatereq(rat_-1/2, rat_1/4) & % 20.25/3.49 ~ rat_$greatereq(rat_-1/2, rat_1) & ~ rat_$greatereq(rat_-1/2, rat_1/2) & ~ % 20.25/3.49 rat_$greatereq(rat_-1/2, rat_3/16) & ~ rat_$greatereq(rat_-1/2, rat_0) & ~ % 20.25/3.49 rat_$greatereq(rat_1/2, rat_8/3) & ~ rat_$greatereq(rat_1/2, rat_16/3) & ~ % 20.25/3.49 rat_$greatereq(rat_1/2, rat_11/16) & ~ rat_$greatereq(rat_1/2, rat_2) & ~ % 20.25/3.49 rat_$greatereq(rat_1/2, rat_1) & ~ rat_$greatereq(rat_3/16, rat_8/3) & ~ % 20.25/3.49 rat_$greatereq(rat_3/16, rat_16/3) & ~ rat_$greatereq(rat_3/16, rat_3/8) & ~ % 20.25/3.49 rat_$greatereq(rat_3/16, rat_5/16) & ~ rat_$greatereq(rat_3/16, rat_11/16) & % 20.25/3.49 ~ rat_$greatereq(rat_3/16, rat_2) & ~ rat_$greatereq(rat_3/16, rat_1/4) & ~ % 20.25/3.49 rat_$greatereq(rat_3/16, rat_1) & ~ rat_$greatereq(rat_3/16, rat_1/2) & ~ % 20.25/3.49 rat_$greatereq(rat_0, rat_9/256) & ~ rat_$greatereq(rat_0, rat_8/3) & ~ % 20.25/3.49 rat_$greatereq(rat_0, rat_16/3) & ~ rat_$greatereq(rat_0, rat_3/8) & ~ % 20.25/3.49 rat_$greatereq(rat_0, rat_3/32) & ~ rat_$greatereq(rat_0, rat_5/16) & ~ % 20.25/3.49 rat_$greatereq(rat_0, rat_11/16) & ~ rat_$greatereq(rat_0, rat_2) & ~ % 20.25/3.49 rat_$greatereq(rat_0, rat_1/4) & ~ rat_$greatereq(rat_0, rat_1) & ~ % 20.25/3.49 rat_$greatereq(rat_0, rat_1/2) & ~ rat_$greatereq(rat_0, rat_3/16) & ~ % 20.25/3.49 rat_$greater(rat_very_small, rat_very_large) & ~ rat_$greater(rat_9/256, % 20.25/3.49 rat_9/256) & ~ rat_$greater(rat_9/256, rat_8/3) & ~ % 20.25/3.49 rat_$greater(rat_9/256, rat_16/3) & ~ rat_$greater(rat_9/256, rat_3/8) & ~ % 20.25/3.49 rat_$greater(rat_9/256, rat_3/32) & ~ rat_$greater(rat_9/256, rat_5/16) & ~ % 20.25/3.49 rat_$greater(rat_9/256, rat_11/16) & ~ rat_$greater(rat_9/256, rat_2) & ~ % 20.25/3.49 rat_$greater(rat_9/256, rat_1/4) & ~ rat_$greater(rat_9/256, rat_1) & ~ % 20.25/3.49 rat_$greater(rat_9/256, rat_1/2) & ~ rat_$greater(rat_9/256, rat_3/16) & ~ % 20.25/3.49 rat_$greater(rat_8/3, rat_8/3) & ~ rat_$greater(rat_8/3, rat_16/3) & ~ % 20.25/3.49 rat_$greater(rat_16/3, rat_16/3) & ~ rat_$greater(rat_-5/16, rat_9/256) & ~ % 20.25/3.49 rat_$greater(rat_-5/16, rat_8/3) & ~ rat_$greater(rat_-5/16, rat_16/3) & ~ % 20.25/3.49 rat_$greater(rat_-5/16, rat_-5/16) & ~ rat_$greater(rat_-5/16, rat_-3/16) & % 20.25/3.49 ~ rat_$greater(rat_-5/16, rat_3/8) & ~ rat_$greater(rat_-5/16, rat_3/32) & ~ % 20.25/3.49 rat_$greater(rat_-5/16, rat_5/16) & ~ rat_$greater(rat_-5/16, rat_11/16) & ~ % 20.25/3.49 rat_$greater(rat_-5/16, rat_2) & ~ rat_$greater(rat_-5/16, rat_1/4) & ~ % 20.25/3.49 rat_$greater(rat_-5/16, rat_1) & ~ rat_$greater(rat_-5/16, rat_1/2) & ~ % 20.25/3.49 rat_$greater(rat_-5/16, rat_3/16) & ~ rat_$greater(rat_-5/16, rat_0) & ~ % 20.25/3.49 rat_$greater(rat_-3/16, rat_9/256) & ~ rat_$greater(rat_-3/16, rat_8/3) & ~ % 20.25/3.49 rat_$greater(rat_-3/16, rat_16/3) & ~ rat_$greater(rat_-3/16, rat_-3/16) & ~ % 20.25/3.49 rat_$greater(rat_-3/16, rat_3/8) & ~ rat_$greater(rat_-3/16, rat_3/32) & ~ % 20.25/3.49 rat_$greater(rat_-3/16, rat_5/16) & ~ rat_$greater(rat_-3/16, rat_11/16) & ~ % 20.25/3.49 rat_$greater(rat_-3/16, rat_2) & ~ rat_$greater(rat_-3/16, rat_1/4) & ~ % 20.25/3.49 rat_$greater(rat_-3/16, rat_1) & ~ rat_$greater(rat_-3/16, rat_1/2) & ~ % 20.25/3.49 rat_$greater(rat_-3/16, rat_3/16) & ~ rat_$greater(rat_-3/16, rat_0) & ~ % 20.25/3.49 rat_$greater(rat_3/8, rat_8/3) & ~ rat_$greater(rat_3/8, rat_16/3) & ~ % 20.25/3.49 rat_$greater(rat_3/8, rat_3/8) & ~ rat_$greater(rat_3/8, rat_11/16) & ~ % 20.25/3.49 rat_$greater(rat_3/8, rat_2) & ~ rat_$greater(rat_3/8, rat_1) & ~ % 20.25/3.49 rat_$greater(rat_3/8, rat_1/2) & ~ rat_$greater(rat_3/32, rat_8/3) & ~ % 20.25/3.49 rat_$greater(rat_3/32, rat_16/3) & ~ rat_$greater(rat_3/32, rat_3/8) & ~ % 20.25/3.49 rat_$greater(rat_3/32, rat_3/32) & ~ rat_$greater(rat_3/32, rat_5/16) & ~ % 20.25/3.49 rat_$greater(rat_3/32, rat_11/16) & ~ rat_$greater(rat_3/32, rat_2) & ~ % 20.25/3.49 rat_$greater(rat_3/32, rat_1/4) & ~ rat_$greater(rat_3/32, rat_1) & ~ % 20.25/3.49 rat_$greater(rat_3/32, rat_1/2) & ~ rat_$greater(rat_3/32, rat_3/16) & ~ % 20.25/3.49 rat_$greater(rat_5/16, rat_8/3) & ~ rat_$greater(rat_5/16, rat_16/3) & ~ % 20.25/3.49 rat_$greater(rat_5/16, rat_3/8) & ~ rat_$greater(rat_5/16, rat_5/16) & ~ % 20.25/3.49 rat_$greater(rat_5/16, rat_11/16) & ~ rat_$greater(rat_5/16, rat_2) & ~ % 20.25/3.49 rat_$greater(rat_5/16, rat_1) & ~ rat_$greater(rat_5/16, rat_1/2) & ~ % 20.25/3.49 rat_$greater(rat_11/16, rat_8/3) & ~ rat_$greater(rat_11/16, rat_16/3) & ~ % 20.25/3.49 rat_$greater(rat_11/16, rat_11/16) & ~ rat_$greater(rat_11/16, rat_2) & ~ % 20.25/3.49 rat_$greater(rat_11/16, rat_1) & ~ rat_$greater(rat_2, rat_8/3) & ~ % 20.25/3.49 rat_$greater(rat_2, rat_16/3) & ~ rat_$greater(rat_2, rat_2) & ~ % 20.25/3.49 rat_$greater(rat_1/4, rat_8/3) & ~ rat_$greater(rat_1/4, rat_16/3) & ~ % 20.25/3.49 rat_$greater(rat_1/4, rat_3/8) & ~ rat_$greater(rat_1/4, rat_5/16) & ~ % 20.25/3.49 rat_$greater(rat_1/4, rat_11/16) & ~ rat_$greater(rat_1/4, rat_2) & ~ % 20.25/3.49 rat_$greater(rat_1/4, rat_1/4) & ~ rat_$greater(rat_1/4, rat_1) & ~ % 20.25/3.49 rat_$greater(rat_1/4, rat_1/2) & ~ rat_$greater(rat_1, rat_8/3) & ~ % 20.25/3.49 rat_$greater(rat_1, rat_16/3) & ~ rat_$greater(rat_1, rat_2) & ~ % 20.25/3.49 rat_$greater(rat_1, rat_1) & ~ rat_$greater(rat_-1/2, rat_9/256) & ~ % 20.25/3.49 rat_$greater(rat_-1/2, rat_8/3) & ~ rat_$greater(rat_-1/2, rat_16/3) & ~ % 20.25/3.49 rat_$greater(rat_-1/2, rat_-5/16) & ~ rat_$greater(rat_-1/2, rat_-3/16) & ~ % 20.25/3.49 rat_$greater(rat_-1/2, rat_3/8) & ~ rat_$greater(rat_-1/2, rat_3/32) & ~ % 20.25/3.49 rat_$greater(rat_-1/2, rat_5/16) & ~ rat_$greater(rat_-1/2, rat_11/16) & ~ % 20.25/3.49 rat_$greater(rat_-1/2, rat_2) & ~ rat_$greater(rat_-1/2, rat_1/4) & ~ % 20.25/3.49 rat_$greater(rat_-1/2, rat_1) & ~ rat_$greater(rat_-1/2, rat_-1/2) & ~ % 20.25/3.49 rat_$greater(rat_-1/2, rat_1/2) & ~ rat_$greater(rat_-1/2, rat_3/16) & ~ % 20.25/3.49 rat_$greater(rat_-1/2, rat_0) & ~ rat_$greater(rat_1/2, rat_8/3) & ~ % 20.25/3.49 rat_$greater(rat_1/2, rat_16/3) & ~ rat_$greater(rat_1/2, rat_11/16) & ~ % 20.25/3.49 rat_$greater(rat_1/2, rat_2) & ~ rat_$greater(rat_1/2, rat_1) & ~ % 20.25/3.49 rat_$greater(rat_1/2, rat_1/2) & ~ rat_$greater(rat_3/16, rat_8/3) & ~ % 20.25/3.49 rat_$greater(rat_3/16, rat_16/3) & ~ rat_$greater(rat_3/16, rat_3/8) & ~ % 20.25/3.49 rat_$greater(rat_3/16, rat_5/16) & ~ rat_$greater(rat_3/16, rat_11/16) & ~ % 20.25/3.49 rat_$greater(rat_3/16, rat_2) & ~ rat_$greater(rat_3/16, rat_1/4) & ~ % 20.25/3.49 rat_$greater(rat_3/16, rat_1) & ~ rat_$greater(rat_3/16, rat_1/2) & ~ % 20.25/3.49 rat_$greater(rat_3/16, rat_3/16) & ~ rat_$greater(rat_0, rat_9/256) & ~ % 20.25/3.49 rat_$greater(rat_0, rat_8/3) & ~ rat_$greater(rat_0, rat_16/3) & ~ % 20.25/3.49 rat_$greater(rat_0, rat_3/8) & ~ rat_$greater(rat_0, rat_3/32) & ~ % 20.25/3.49 rat_$greater(rat_0, rat_5/16) & ~ rat_$greater(rat_0, rat_11/16) & ~ % 20.25/3.49 rat_$greater(rat_0, rat_2) & ~ rat_$greater(rat_0, rat_1/4) & ~ % 20.25/3.49 rat_$greater(rat_0, rat_1) & ~ rat_$greater(rat_0, rat_1/2) & ~ % 20.25/3.49 rat_$greater(rat_0, rat_3/16) & ~ rat_$greater(rat_0, rat_0) & ~ % 20.25/3.49 rat_$lesseq(rat_9/256, rat_-5/16) & ~ rat_$lesseq(rat_9/256, rat_-3/16) & ~ % 20.25/3.49 rat_$lesseq(rat_9/256, rat_-1/2) & ~ rat_$lesseq(rat_9/256, rat_0) & ~ % 20.25/3.49 rat_$lesseq(rat_8/3, rat_9/256) & ~ rat_$lesseq(rat_8/3, rat_-5/16) & ~ % 20.25/3.49 rat_$lesseq(rat_8/3, rat_-3/16) & ~ rat_$lesseq(rat_8/3, rat_3/8) & ~ % 20.25/3.49 rat_$lesseq(rat_8/3, rat_3/32) & ~ rat_$lesseq(rat_8/3, rat_5/16) & ~ % 20.25/3.49 rat_$lesseq(rat_8/3, rat_11/16) & ~ rat_$lesseq(rat_8/3, rat_2) & ~ % 20.25/3.49 rat_$lesseq(rat_8/3, rat_1/4) & ~ rat_$lesseq(rat_8/3, rat_1) & ~ % 20.25/3.49 rat_$lesseq(rat_8/3, rat_-1/2) & ~ rat_$lesseq(rat_8/3, rat_1/2) & ~ % 20.25/3.49 rat_$lesseq(rat_8/3, rat_3/16) & ~ rat_$lesseq(rat_8/3, rat_0) & ~ % 20.25/3.49 rat_$lesseq(rat_16/3, rat_9/256) & ~ rat_$lesseq(rat_16/3, rat_8/3) & ~ % 20.25/3.49 rat_$lesseq(rat_16/3, rat_-5/16) & ~ rat_$lesseq(rat_16/3, rat_-3/16) & ~ % 20.25/3.49 rat_$lesseq(rat_16/3, rat_3/8) & ~ rat_$lesseq(rat_16/3, rat_3/32) & ~ % 20.25/3.49 rat_$lesseq(rat_16/3, rat_5/16) & ~ rat_$lesseq(rat_16/3, rat_11/16) & ~ % 20.25/3.49 rat_$lesseq(rat_16/3, rat_2) & ~ rat_$lesseq(rat_16/3, rat_1/4) & ~ % 20.25/3.49 rat_$lesseq(rat_16/3, rat_1) & ~ rat_$lesseq(rat_16/3, rat_-1/2) & ~ % 20.25/3.49 rat_$lesseq(rat_16/3, rat_1/2) & ~ rat_$lesseq(rat_16/3, rat_3/16) & ~ % 20.25/3.49 rat_$lesseq(rat_16/3, rat_0) & ~ rat_$lesseq(rat_-5/16, rat_-1/2) & ~ % 20.25/3.49 rat_$lesseq(rat_-3/16, rat_-5/16) & ~ rat_$lesseq(rat_-3/16, rat_-1/2) & ~ % 20.25/3.49 rat_$lesseq(rat_3/8, rat_9/256) & ~ rat_$lesseq(rat_3/8, rat_-5/16) & ~ % 20.25/3.49 rat_$lesseq(rat_3/8, rat_-3/16) & ~ rat_$lesseq(rat_3/8, rat_3/32) & ~ % 20.25/3.49 rat_$lesseq(rat_3/8, rat_5/16) & ~ rat_$lesseq(rat_3/8, rat_1/4) & ~ % 20.25/3.49 rat_$lesseq(rat_3/8, rat_-1/2) & ~ rat_$lesseq(rat_3/8, rat_3/16) & ~ % 20.25/3.49 rat_$lesseq(rat_3/8, rat_0) & ~ rat_$lesseq(rat_3/32, rat_9/256) & ~ % 20.25/3.49 rat_$lesseq(rat_3/32, rat_-5/16) & ~ rat_$lesseq(rat_3/32, rat_-3/16) & ~ % 20.25/3.49 rat_$lesseq(rat_3/32, rat_-1/2) & ~ rat_$lesseq(rat_3/32, rat_0) & ~ % 20.25/3.49 rat_$lesseq(rat_5/16, rat_9/256) & ~ rat_$lesseq(rat_5/16, rat_-5/16) & ~ % 20.25/3.49 rat_$lesseq(rat_5/16, rat_-3/16) & ~ rat_$lesseq(rat_5/16, rat_3/32) & ~ % 20.25/3.49 rat_$lesseq(rat_5/16, rat_1/4) & ~ rat_$lesseq(rat_5/16, rat_-1/2) & ~ % 20.25/3.49 rat_$lesseq(rat_5/16, rat_3/16) & ~ rat_$lesseq(rat_5/16, rat_0) & ~ % 20.25/3.49 rat_$lesseq(rat_11/16, rat_9/256) & ~ rat_$lesseq(rat_11/16, rat_-5/16) & ~ % 20.25/3.49 rat_$lesseq(rat_11/16, rat_-3/16) & ~ rat_$lesseq(rat_11/16, rat_3/8) & ~ % 20.25/3.49 rat_$lesseq(rat_11/16, rat_3/32) & ~ rat_$lesseq(rat_11/16, rat_5/16) & ~ % 20.25/3.49 rat_$lesseq(rat_11/16, rat_1/4) & ~ rat_$lesseq(rat_11/16, rat_-1/2) & ~ % 20.25/3.49 rat_$lesseq(rat_11/16, rat_1/2) & ~ rat_$lesseq(rat_11/16, rat_3/16) & ~ % 20.25/3.49 rat_$lesseq(rat_11/16, rat_0) & ~ rat_$lesseq(rat_2, rat_9/256) & ~ % 20.25/3.49 rat_$lesseq(rat_2, rat_-5/16) & ~ rat_$lesseq(rat_2, rat_-3/16) & ~ % 20.25/3.49 rat_$lesseq(rat_2, rat_3/8) & ~ rat_$lesseq(rat_2, rat_3/32) & ~ % 20.25/3.49 rat_$lesseq(rat_2, rat_5/16) & ~ rat_$lesseq(rat_2, rat_11/16) & ~ % 20.25/3.49 rat_$lesseq(rat_2, rat_1/4) & ~ rat_$lesseq(rat_2, rat_1) & ~ % 20.25/3.49 rat_$lesseq(rat_2, rat_-1/2) & ~ rat_$lesseq(rat_2, rat_1/2) & ~ % 20.25/3.49 rat_$lesseq(rat_2, rat_3/16) & ~ rat_$lesseq(rat_2, rat_0) & ~ % 20.25/3.49 rat_$lesseq(rat_1/4, rat_9/256) & ~ rat_$lesseq(rat_1/4, rat_-5/16) & ~ % 20.25/3.49 rat_$lesseq(rat_1/4, rat_-3/16) & ~ rat_$lesseq(rat_1/4, rat_3/32) & ~ % 20.25/3.49 rat_$lesseq(rat_1/4, rat_-1/2) & ~ rat_$lesseq(rat_1/4, rat_3/16) & ~ % 20.25/3.49 rat_$lesseq(rat_1/4, rat_0) & ~ rat_$lesseq(rat_1, rat_9/256) & ~ % 20.25/3.49 rat_$lesseq(rat_1, rat_-5/16) & ~ rat_$lesseq(rat_1, rat_-3/16) & ~ % 20.25/3.49 rat_$lesseq(rat_1, rat_3/8) & ~ rat_$lesseq(rat_1, rat_3/32) & ~ % 20.25/3.49 rat_$lesseq(rat_1, rat_5/16) & ~ rat_$lesseq(rat_1, rat_11/16) & ~ % 20.25/3.49 rat_$lesseq(rat_1, rat_1/4) & ~ rat_$lesseq(rat_1, rat_-1/2) & ~ % 20.25/3.49 rat_$lesseq(rat_1, rat_1/2) & ~ rat_$lesseq(rat_1, rat_3/16) & ~ % 20.25/3.49 rat_$lesseq(rat_1, rat_0) & ~ rat_$lesseq(rat_1/2, rat_9/256) & ~ % 20.25/3.49 rat_$lesseq(rat_1/2, rat_-5/16) & ~ rat_$lesseq(rat_1/2, rat_-3/16) & ~ % 20.25/3.49 rat_$lesseq(rat_1/2, rat_3/8) & ~ rat_$lesseq(rat_1/2, rat_3/32) & ~ % 20.25/3.49 rat_$lesseq(rat_1/2, rat_5/16) & ~ rat_$lesseq(rat_1/2, rat_1/4) & ~ % 20.25/3.49 rat_$lesseq(rat_1/2, rat_-1/2) & ~ rat_$lesseq(rat_1/2, rat_3/16) & ~ % 20.25/3.49 rat_$lesseq(rat_1/2, rat_0) & ~ rat_$lesseq(rat_3/16, rat_9/256) & ~ % 20.25/3.49 rat_$lesseq(rat_3/16, rat_-5/16) & ~ rat_$lesseq(rat_3/16, rat_-3/16) & ~ % 20.25/3.49 rat_$lesseq(rat_3/16, rat_3/32) & ~ rat_$lesseq(rat_3/16, rat_-1/2) & ~ % 20.25/3.49 rat_$lesseq(rat_3/16, rat_0) & ~ rat_$lesseq(rat_0, rat_-5/16) & ~ % 20.25/3.49 rat_$lesseq(rat_0, rat_-3/16) & ~ rat_$lesseq(rat_0, rat_-1/2) & ~ % 20.25/3.49 rat_$less(rat_9/256, rat_9/256) & ~ rat_$less(rat_9/256, rat_-5/16) & ~ % 20.25/3.49 rat_$less(rat_9/256, rat_-3/16) & ~ rat_$less(rat_9/256, rat_-1/2) & ~ % 20.25/3.49 rat_$less(rat_9/256, rat_0) & ~ rat_$less(rat_8/3, rat_9/256) & ~ % 20.25/3.49 rat_$less(rat_8/3, rat_8/3) & ~ rat_$less(rat_8/3, rat_-5/16) & ~ % 20.25/3.49 rat_$less(rat_8/3, rat_-3/16) & ~ rat_$less(rat_8/3, rat_3/8) & ~ % 20.25/3.49 rat_$less(rat_8/3, rat_3/32) & ~ rat_$less(rat_8/3, rat_5/16) & ~ % 20.25/3.49 rat_$less(rat_8/3, rat_11/16) & ~ rat_$less(rat_8/3, rat_2) & ~ % 20.25/3.49 rat_$less(rat_8/3, rat_1/4) & ~ rat_$less(rat_8/3, rat_1) & ~ % 20.25/3.49 rat_$less(rat_8/3, rat_-1/2) & ~ rat_$less(rat_8/3, rat_1/2) & ~ % 20.25/3.49 rat_$less(rat_8/3, rat_3/16) & ~ rat_$less(rat_8/3, rat_0) & ~ % 20.25/3.49 rat_$less(rat_16/3, rat_9/256) & ~ rat_$less(rat_16/3, rat_8/3) & ~ % 20.25/3.49 rat_$less(rat_16/3, rat_16/3) & ~ rat_$less(rat_16/3, rat_-5/16) & ~ % 20.25/3.49 rat_$less(rat_16/3, rat_-3/16) & ~ rat_$less(rat_16/3, rat_3/8) & ~ % 20.25/3.49 rat_$less(rat_16/3, rat_3/32) & ~ rat_$less(rat_16/3, rat_5/16) & ~ % 20.25/3.49 rat_$less(rat_16/3, rat_11/16) & ~ rat_$less(rat_16/3, rat_2) & ~ % 20.25/3.49 rat_$less(rat_16/3, rat_1/4) & ~ rat_$less(rat_16/3, rat_1) & ~ % 20.25/3.49 rat_$less(rat_16/3, rat_-1/2) & ~ rat_$less(rat_16/3, rat_1/2) & ~ % 20.25/3.49 rat_$less(rat_16/3, rat_3/16) & ~ rat_$less(rat_16/3, rat_0) & ~ % 20.25/3.49 rat_$less(rat_-5/16, rat_-5/16) & ~ rat_$less(rat_-5/16, rat_-1/2) & ~ % 20.25/3.49 rat_$less(rat_-3/16, rat_-5/16) & ~ rat_$less(rat_-3/16, rat_-3/16) & ~ % 20.25/3.49 rat_$less(rat_-3/16, rat_-1/2) & ~ rat_$less(rat_3/8, rat_9/256) & ~ % 20.25/3.49 rat_$less(rat_3/8, rat_-5/16) & ~ rat_$less(rat_3/8, rat_-3/16) & ~ % 20.25/3.49 rat_$less(rat_3/8, rat_3/8) & ~ rat_$less(rat_3/8, rat_3/32) & ~ % 20.25/3.49 rat_$less(rat_3/8, rat_5/16) & ~ rat_$less(rat_3/8, rat_1/4) & ~ % 20.25/3.49 rat_$less(rat_3/8, rat_-1/2) & ~ rat_$less(rat_3/8, rat_3/16) & ~ % 20.25/3.49 rat_$less(rat_3/8, rat_0) & ~ rat_$less(rat_3/32, rat_9/256) & ~ % 20.25/3.49 rat_$less(rat_3/32, rat_-5/16) & ~ rat_$less(rat_3/32, rat_-3/16) & ~ % 20.25/3.49 rat_$less(rat_3/32, rat_3/32) & ~ rat_$less(rat_3/32, rat_-1/2) & ~ % 20.25/3.49 rat_$less(rat_3/32, rat_0) & ~ rat_$less(rat_5/16, rat_9/256) & ~ % 20.25/3.49 rat_$less(rat_5/16, rat_-5/16) & ~ rat_$less(rat_5/16, rat_-3/16) & ~ % 20.25/3.49 rat_$less(rat_5/16, rat_3/32) & ~ rat_$less(rat_5/16, rat_5/16) & ~ % 20.25/3.49 rat_$less(rat_5/16, rat_1/4) & ~ rat_$less(rat_5/16, rat_-1/2) & ~ % 20.25/3.49 rat_$less(rat_5/16, rat_3/16) & ~ rat_$less(rat_5/16, rat_0) & ~ % 20.25/3.49 rat_$less(rat_11/16, rat_9/256) & ~ rat_$less(rat_11/16, rat_-5/16) & ~ % 20.25/3.49 rat_$less(rat_11/16, rat_-3/16) & ~ rat_$less(rat_11/16, rat_3/8) & ~ % 20.25/3.49 rat_$less(rat_11/16, rat_3/32) & ~ rat_$less(rat_11/16, rat_5/16) & ~ % 20.25/3.49 rat_$less(rat_11/16, rat_11/16) & ~ rat_$less(rat_11/16, rat_1/4) & ~ % 20.25/3.49 rat_$less(rat_11/16, rat_-1/2) & ~ rat_$less(rat_11/16, rat_1/2) & ~ % 20.25/3.49 rat_$less(rat_11/16, rat_3/16) & ~ rat_$less(rat_11/16, rat_0) & ~ % 20.25/3.49 rat_$less(rat_2, rat_9/256) & ~ rat_$less(rat_2, rat_-5/16) & ~ % 20.25/3.49 rat_$less(rat_2, rat_-3/16) & ~ rat_$less(rat_2, rat_3/8) & ~ % 20.25/3.49 rat_$less(rat_2, rat_3/32) & ~ rat_$less(rat_2, rat_5/16) & ~ % 20.25/3.49 rat_$less(rat_2, rat_11/16) & ~ rat_$less(rat_2, rat_2) & ~ rat_$less(rat_2, % 20.25/3.49 rat_1/4) & ~ rat_$less(rat_2, rat_1) & ~ rat_$less(rat_2, rat_-1/2) & ~ % 20.25/3.49 rat_$less(rat_2, rat_1/2) & ~ rat_$less(rat_2, rat_3/16) & ~ % 20.25/3.49 rat_$less(rat_2, rat_0) & ~ rat_$less(rat_1/4, rat_9/256) & ~ % 20.25/3.49 rat_$less(rat_1/4, rat_-5/16) & ~ rat_$less(rat_1/4, rat_-3/16) & ~ % 20.25/3.49 rat_$less(rat_1/4, rat_3/32) & ~ rat_$less(rat_1/4, rat_1/4) & ~ % 20.25/3.49 rat_$less(rat_1/4, rat_-1/2) & ~ rat_$less(rat_1/4, rat_3/16) & ~ % 20.25/3.49 rat_$less(rat_1/4, rat_0) & ~ rat_$less(rat_1, rat_9/256) & ~ % 20.25/3.49 rat_$less(rat_1, rat_-5/16) & ~ rat_$less(rat_1, rat_-3/16) & ~ % 20.25/3.49 rat_$less(rat_1, rat_3/8) & ~ rat_$less(rat_1, rat_3/32) & ~ % 20.25/3.49 rat_$less(rat_1, rat_5/16) & ~ rat_$less(rat_1, rat_11/16) & ~ % 20.25/3.49 rat_$less(rat_1, rat_1/4) & ~ rat_$less(rat_1, rat_1) & ~ rat_$less(rat_1, % 20.25/3.49 rat_-1/2) & ~ rat_$less(rat_1, rat_1/2) & ~ rat_$less(rat_1, rat_3/16) & % 20.25/3.49 ~ rat_$less(rat_1, rat_0) & ~ rat_$less(rat_-1/2, rat_-1/2) & ~ % 20.25/3.49 rat_$less(rat_1/2, rat_9/256) & ~ rat_$less(rat_1/2, rat_-5/16) & ~ % 20.25/3.49 rat_$less(rat_1/2, rat_-3/16) & ~ rat_$less(rat_1/2, rat_3/8) & ~ % 20.25/3.49 rat_$less(rat_1/2, rat_3/32) & ~ rat_$less(rat_1/2, rat_5/16) & ~ % 20.25/3.49 rat_$less(rat_1/2, rat_1/4) & ~ rat_$less(rat_1/2, rat_-1/2) & ~ % 20.25/3.49 rat_$less(rat_1/2, rat_1/2) & ~ rat_$less(rat_1/2, rat_3/16) & ~ % 20.25/3.49 rat_$less(rat_1/2, rat_0) & ~ rat_$less(rat_3/16, rat_9/256) & ~ % 20.25/3.49 rat_$less(rat_3/16, rat_-5/16) & ~ rat_$less(rat_3/16, rat_-3/16) & ~ % 20.25/3.49 rat_$less(rat_3/16, rat_3/32) & ~ rat_$less(rat_3/16, rat_-1/2) & ~ % 20.25/3.49 rat_$less(rat_3/16, rat_3/16) & ~ rat_$less(rat_3/16, rat_0) & ~ % 20.25/3.49 rat_$less(rat_0, rat_-5/16) & ~ rat_$less(rat_0, rat_-3/16) & ~ % 20.25/3.49 rat_$less(rat_0, rat_-1/2) & ~ rat_$less(rat_0, rat_0) & ! [v0: $rat] : ! % 20.25/3.49 [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : ! [v4: $rat] : ( ~ (rat_$sum(v3, % 20.25/3.49 v0) = v4) | ~ (rat_$sum(v2, v1) = v3) | ? [v5: $rat] : (rat_$sum(v2, % 20.25/3.49 v5) = v4 & rat_$sum(v1, v0) = v5)) & ! [v0: $rat] : ! [v1: $rat] : ! % 20.25/3.49 [v2: $rat] : ! [v3: $rat] : ! [v4: $rat] : ( ~ (rat_$sum(v2, v3) = v4) | ~ % 20.25/3.49 (rat_$sum(v1, v0) = v3) | ? [v5: $rat] : (rat_$sum(v5, v0) = v4 & % 20.25/3.49 rat_$sum(v2, v1) = v5)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : % 20.25/3.49 ! [v3: $rat] : ( ~ (rat_$uminus(v0) = v2) | ~ (rat_$sum(v1, v2) = v3) | % 20.25/3.49 rat_$difference(v1, v0) = v3) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: % 20.25/3.49 $rat] : (v0 = rat_0 | ~ (rat_$product(v1, v0) = v2) | rat_$quotient(v2, v0) % 20.25/3.49 = v1) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ % 20.25/3.49 (rat_$product(v1, v0) = v2) | rat_$product(v0, v1) = v2) & ! [v0: $rat] : % 20.25/3.49 ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$product(v0, v1) = v2) | % 20.25/3.49 rat_$product(v1, v0) = v2) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : % 20.25/3.49 ( ~ (rat_$difference(v1, v0) = v2) | ? [v3: $rat] : (rat_$uminus(v0) = v3 & % 20.25/3.49 rat_$sum(v1, v3) = v2)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : % 20.25/3.49 ( ~ (rat_$sum(v1, v0) = v2) | rat_$sum(v0, v1) = v2) & ! [v0: $rat] : ! [v1: % 20.25/3.49 $rat] : ! [v2: $rat] : ( ~ (rat_$sum(v0, v1) = v2) | rat_$sum(v1, v0) = v2) % 20.25/3.49 & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ rat_$lesseq(v2, v1) | ~ % 20.25/3.49 rat_$lesseq(v1, v0) | rat_$lesseq(v2, v0)) & ! [v0: $rat] : ! [v1: $rat] : % 20.25/3.49 ! [v2: $rat] : ( ~ rat_$lesseq(v2, v1) | ~ rat_$less(v1, v0) | rat_$less(v2, % 20.25/3.49 v0)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ rat_$lesseq(v1, % 20.25/3.49 v0) | ~ rat_$less(v2, v1) | rat_$less(v2, v0)) & ! [v0: $rat] : ! [v1: % 20.25/3.49 $rat] : (v1 = v0 | ~ (rat_$sum(v0, rat_0) = v1)) & ! [v0: $rat] : ! [v1: % 20.25/3.49 $rat] : (v1 = v0 | ~ rat_$lesseq(v1, v0) | rat_$less(v1, v0)) & ! [v0: % 20.25/3.49 $rat] : ! [v1: $rat] : ( ~ (rat_$uminus(v0) = v1) | rat_$uminus(v1) = v0) & % 20.25/3.49 ! [v0: $rat] : ! [v1: $rat] : ( ~ (rat_$uminus(v0) = v1) | rat_$sum(v0, v1) % 20.25/3.49 = rat_0) & ! [v0: $rat] : ! [v1: $rat] : ( ~ rat_$greatereq(v0, v1) | % 20.25/3.49 rat_$lesseq(v1, v0)) & ! [v0: $rat] : ! [v1: $rat] : ( ~ rat_$greater(v0, % 20.25/3.49 v1) | rat_$less(v1, v0)) & ! [v0: $rat] : ! [v1: $rat] : ( ~ % 20.25/3.49 rat_$lesseq(v1, v0) | rat_$greatereq(v0, v1)) & ! [v0: $rat] : ! [v1: % 20.25/3.49 $rat] : ( ~ rat_$less(v1, v0) | rat_$greater(v0, v1)) & ! [v0: $rat] : ! % 20.25/3.49 [v1: $rat] : ( ~ rat_$less(v1, v0) | rat_$lesseq(v1, v0)) & ! [v0: $rat] : % 20.25/3.49 (v0 = rat_0 | ~ (rat_$uminus(v0) = v0)) & ? [v0: $rat] : rat_$lesseq(v0, v0) % 20.25/3.49 % 20.25/3.49 Those formulas are unsatisfiable: % 20.25/3.49 --------------------------------- % 20.25/3.49 % 20.25/3.49 Begin of proof % 20.25/3.49 | % 20.25/3.49 | ALPHA: (input) implies: % 20.25/3.50 | (1) rat_$sum(rat_5/16, rat_3/16) = rat_1/2 % 20.25/3.50 | % 20.25/3.50 | GROUND_INST: instantiating (rat_sum_problem_9) with rat_5/16, simplifying with % 20.25/3.50 | (1) gives: % 20.25/3.50 | (2) $false % 20.25/3.50 | % 20.25/3.50 | CLOSE: (2) is inconsistent. % 20.25/3.50 | % 20.25/3.50 End of proof % 20.25/3.50 % SZS output end Proof for theBenchmark % 20.25/3.50 % 20.25/3.50 3030ms %------------------------------------------------------------------------------