%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ARI529_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 : n027.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 17:48:17 EDT 2023 % Result : Theorem 8.98s 1.94s % Output : Proof 34.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : ARI529_1 : TPTP v8.1.2. Released v5.0.0. % 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n027.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Tue Aug 29 18:43:23 EDT 2023 % 0.13/0.34 % CPUTime : % 0.42/0.63 ________ _____ % 0.42/0.63 ___ __ \_________(_)________________________________ % 0.42/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.42/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.42/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.42/0.63 % 0.42/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.42/0.63 (2023-06-19) % 0.42/0.63 % 0.42/0.63 (c) Philipp Rümmer, 2009-2023 % 0.42/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.42/0.63 Amanda Stjerna. % 0.42/0.63 Free software under BSD-3-Clause. % 0.42/0.63 % 0.42/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.42/0.63 % 0.42/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.42/0.64 Running up to 7 provers in parallel. % 0.42/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.42/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.42/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.42/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.42/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.42/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.42/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.73/0.94 Prover 5: Warning: Problem contains reals, using incomplete axiomatisation % 1.73/0.94 Prover 6: Warning: Problem contains reals, using incomplete axiomatisation % 1.73/0.94 Prover 3: Warning: Problem contains reals, using incomplete axiomatisation % 1.73/0.94 Prover 2: Warning: Problem contains reals, using incomplete axiomatisation % 1.73/0.94 Prover 1: Warning: Problem contains reals, using incomplete axiomatisation % 1.73/0.94 Prover 0: Warning: Problem contains reals, using incomplete axiomatisation % 1.73/0.94 Prover 4: Warning: Problem contains reals, using incomplete axiomatisation % 1.73/0.96 Prover 5: Warning: Problem contains rationals, using incomplete axiomatisation % 1.73/0.96 Prover 1: Warning: Problem contains rationals, using incomplete axiomatisation % 1.73/0.96 Prover 6: Warning: Problem contains rationals, using incomplete axiomatisation % 1.73/0.96 Prover 0: Warning: Problem contains rationals, using incomplete axiomatisation % 1.73/0.96 Prover 3: Warning: Problem contains rationals, using incomplete axiomatisation % 1.73/0.96 Prover 4: Warning: Problem contains rationals, using incomplete axiomatisation % 1.73/0.96 Prover 2: Warning: Problem contains rationals, using incomplete axiomatisation % 2.58/1.10 Prover 0: Preprocessing ... % 2.58/1.10 Prover 1: Preprocessing ... % 2.58/1.10 Prover 6: Preprocessing ... % 2.58/1.10 Prover 4: Preprocessing ... % 6.88/1.71 Prover 3: Preprocessing ... % 6.88/1.71 Prover 5: Preprocessing ... % 6.88/1.72 Prover 2: Preprocessing ... % 8.59/1.90 Prover 6: Constructing countermodel ... % 8.98/1.94 Prover 6: proved (1278ms) % 8.98/1.94 % 8.98/1.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 8.98/1.94 % 8.98/1.95 Prover 0: Constructing countermodel ... % 8.98/1.96 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 8.98/1.96 Prover 0: stopped % 8.98/1.98 Prover 7: Warning: Problem contains reals, using incomplete axiomatisation % 8.98/1.98 Prover 7: Warning: Problem contains rationals, using incomplete axiomatisation % 8.98/1.98 Prover 1: Constructing countermodel ... % 8.98/1.98 Prover 4: Constructing countermodel ... % 8.98/1.98 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 8.98/1.99 Prover 8: Warning: Problem contains reals, using incomplete axiomatisation % 8.98/1.99 Prover 8: Warning: Problem contains rationals, using incomplete axiomatisation % 9.26/2.01 Prover 8: Preprocessing ... % 11.56/2.28 Prover 7: Preprocessing ... % 11.56/2.28 Prover 8: Warning: ignoring some quantifiers % 11.56/2.31 Prover 8: Constructing countermodel ... % 12.31/2.39 Prover 4: Found proof (size 8) % 12.31/2.39 Prover 4: proved (1735ms) % 12.31/2.39 Prover 8: stopped % 12.31/2.39 Prover 1: Found proof (size 8) % 12.31/2.39 Prover 1: proved (1742ms) % 20.40/3.57 Prover 2: stopped % 20.40/3.57 Prover 7: stopped % 31.02/5.62 Prover 5: Constructing countermodel ... % 31.02/5.62 Prover 5: stopped % 33.58/6.86 Prover 3: Constructing countermodel ... % 33.58/6.86 Prover 3: stopped % 33.58/6.86 % 33.58/6.86 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 33.58/6.86 % 33.58/6.87 % SZS output start Proof for theBenchmark % 33.58/6.87 Assumptions after simplification: % 33.58/6.87 --------------------------------- % 33.58/6.87 % 33.58/6.87 (mixed_types_problem_34) % 33.78/6.92 ? [v0: int] : ? [v1: int] : ($lesseq(0, $difference(v1, $product(2, v0))) & % 33.78/6.92 rat_$to_int(rat_11/2) = v0 & real_$to_int(real_99999/10000) = v1) % 33.78/6.92 % 33.78/6.92 (input) % 34.32/7.03 ~ (real_very_large = real_very_small) & ~ (real_very_large = real_11/2) & ~ % 34.32/7.03 (real_very_large = real_99999/10000) & ~ (real_very_large = real_1/10000) & % 34.32/7.03 ~ (real_very_large = real_10) & ~ (real_very_large = real_0) & ~ % 34.32/7.03 (real_very_small = real_11/2) & ~ (real_very_small = real_99999/10000) & ~ % 34.32/7.03 (real_very_small = real_1/10000) & ~ (real_very_small = real_10) & ~ % 34.32/7.03 (real_very_small = real_0) & ~ (rat_very_large = rat_very_small) & ~ % 34.32/7.03 (rat_very_large = rat_11/2) & ~ (rat_very_large = rat_99999/10000) & ~ % 34.32/7.03 (rat_very_large = rat_1/10000) & ~ (rat_very_large = rat_10) & ~ % 34.32/7.03 (rat_very_large = rat_0) & ~ (rat_very_small = rat_11/2) & ~ (rat_very_small % 34.32/7.03 = rat_99999/10000) & ~ (rat_very_small = rat_1/10000) & ~ (rat_very_small % 34.32/7.04 = rat_10) & ~ (rat_very_small = rat_0) & ~ (real_11/2 = real_99999/10000) % 34.32/7.04 & ~ (real_11/2 = real_1/10000) & ~ (real_11/2 = real_10) & ~ (real_11/2 = % 34.32/7.04 real_0) & ~ (rat_11/2 = rat_99999/10000) & ~ (rat_11/2 = rat_1/10000) & ~ % 34.32/7.04 (rat_11/2 = rat_10) & ~ (rat_11/2 = rat_0) & ~ (real_99999/10000 = % 34.32/7.04 real_1/10000) & ~ (real_99999/10000 = real_10) & ~ (real_99999/10000 = % 34.32/7.04 real_0) & ~ (rat_99999/10000 = rat_1/10000) & ~ (rat_99999/10000 = rat_10) % 34.32/7.04 & ~ (rat_99999/10000 = rat_0) & ~ (real_1/10000 = real_10) & ~ % 34.32/7.04 (real_1/10000 = real_0) & ~ (rat_1/10000 = rat_10) & ~ (rat_1/10000 = rat_0) % 34.32/7.04 & ~ (real_10 = real_0) & ~ (rat_10 = rat_0) & rat_$is_int(rat_11/2) = 1 & % 34.32/7.04 rat_$is_int(rat_99999/10000) = 1 & rat_$is_int(rat_1/10000) = 1 & % 34.32/7.04 rat_$is_int(rat_10) = 0 & rat_$is_int(rat_0) = 0 & rat_$is_rat(rat_11/2) = 0 & % 34.32/7.04 rat_$is_rat(rat_99999/10000) = 0 & rat_$is_rat(rat_1/10000) = 0 & % 34.32/7.04 rat_$is_rat(rat_10) = 0 & rat_$is_rat(rat_0) = 0 & rat_$floor(rat_1/10000) = % 34.32/7.04 rat_0 & rat_$floor(rat_10) = rat_10 & rat_$floor(rat_0) = rat_0 & % 34.32/7.04 rat_$ceiling(rat_99999/10000) = rat_10 & rat_$ceiling(rat_10) = rat_10 & % 34.32/7.04 rat_$ceiling(rat_0) = rat_0 & rat_$truncate(rat_1/10000) = rat_0 & % 34.32/7.04 rat_$truncate(rat_10) = rat_10 & rat_$truncate(rat_0) = rat_0 & % 34.32/7.04 rat_$round(rat_99999/10000) = rat_10 & rat_$round(rat_1/10000) = rat_0 & % 34.32/7.04 rat_$round(rat_10) = rat_10 & rat_$round(rat_0) = rat_0 & % 34.32/7.04 rat_$to_rat(rat_11/2) = rat_11/2 & rat_$to_rat(rat_99999/10000) = % 34.32/7.04 rat_99999/10000 & rat_$to_rat(rat_1/10000) = rat_1/10000 & rat_$to_rat(rat_10) % 34.32/7.04 = rat_10 & rat_$to_rat(rat_0) = rat_0 & rat_$to_real(rat_11/2) = real_11/2 & % 34.32/7.04 rat_$to_real(rat_99999/10000) = real_99999/10000 & rat_$to_real(rat_1/10000) = % 34.32/7.04 real_1/10000 & rat_$to_real(rat_10) = real_10 & rat_$to_real(rat_0) = real_0 & % 34.32/7.04 int_$to_rat(10) = rat_10 & int_$to_rat(0) = rat_0 & real_$is_int(real_11/2) = % 34.32/7.04 1 & real_$is_int(real_99999/10000) = 1 & real_$is_int(real_1/10000) = 1 & % 34.32/7.04 real_$is_int(real_10) = 0 & real_$is_int(real_0) = 0 & real_$is_rat(real_11/2) % 34.32/7.04 = 0 & real_$is_rat(real_99999/10000) = 0 & real_$is_rat(real_1/10000) = 0 & % 34.32/7.04 real_$is_rat(real_10) = 0 & real_$is_rat(real_0) = 0 & % 34.32/7.04 real_$floor(real_1/10000) = real_0 & real_$floor(real_10) = real_10 & % 34.32/7.04 real_$floor(real_0) = real_0 & real_$ceiling(real_99999/10000) = real_10 & % 34.32/7.04 real_$ceiling(real_10) = real_10 & real_$ceiling(real_0) = real_0 & % 34.32/7.04 real_$truncate(real_1/10000) = real_0 & real_$truncate(real_10) = real_10 & % 34.32/7.04 real_$truncate(real_0) = real_0 & real_$round(real_99999/10000) = real_10 & % 34.32/7.04 real_$round(real_1/10000) = real_0 & real_$round(real_10) = real_10 & % 34.32/7.04 real_$round(real_0) = real_0 & real_$to_rat(real_11/2) = rat_11/2 & % 34.32/7.04 real_$to_rat(real_99999/10000) = rat_99999/10000 & real_$to_rat(real_1/10000) % 34.32/7.04 = rat_1/10000 & real_$to_rat(real_10) = rat_10 & real_$to_rat(real_0) = rat_0 % 34.32/7.04 & real_$to_real(real_11/2) = real_11/2 & real_$to_real(real_99999/10000) = % 34.32/7.04 real_99999/10000 & real_$to_real(real_1/10000) = real_1/10000 & % 34.32/7.04 real_$to_real(real_10) = real_10 & real_$to_real(real_0) = real_0 & % 34.32/7.04 int_$to_real(10) = real_10 & int_$to_real(0) = real_0 & real_$quotient(real_0, % 34.32/7.04 real_11/2) = real_0 & real_$quotient(real_0, real_99999/10000) = real_0 & % 34.32/7.04 real_$quotient(real_0, real_1/10000) = real_0 & real_$quotient(real_0, % 34.32/7.04 real_10) = real_0 & real_$product(real_11/2, real_0) = real_0 & % 34.32/7.04 real_$product(real_99999/10000, real_0) = real_0 & real_$product(real_1/10000, % 34.32/7.04 real_0) = real_0 & real_$product(real_10, real_0) = real_0 & % 34.32/7.04 real_$product(real_0, real_11/2) = real_0 & real_$product(real_0, % 34.32/7.04 real_99999/10000) = real_0 & real_$product(real_0, real_1/10000) = real_0 & % 34.32/7.04 real_$product(real_0, real_10) = real_0 & real_$product(real_0, real_0) = % 34.32/7.04 real_0 & real_$difference(real_11/2, real_11/2) = real_0 & % 34.32/7.04 real_$difference(real_11/2, real_0) = real_11/2 & % 34.32/7.04 real_$difference(real_99999/10000, real_99999/10000) = real_0 & % 34.32/7.04 real_$difference(real_99999/10000, real_0) = real_99999/10000 & % 34.32/7.04 real_$difference(real_1/10000, real_1/10000) = real_0 & % 34.32/7.04 real_$difference(real_1/10000, real_0) = real_1/10000 & % 34.32/7.04 real_$difference(real_10, real_99999/10000) = real_1/10000 & % 34.32/7.04 real_$difference(real_10, real_1/10000) = real_99999/10000 & % 34.32/7.04 real_$difference(real_10, real_10) = real_0 & real_$difference(real_10, % 34.32/7.04 real_0) = real_10 & real_$difference(real_0, real_0) = real_0 & % 34.32/7.04 real_$uminus(real_0) = real_0 & real_$sum(real_11/2, real_0) = real_11/2 & % 34.32/7.04 real_$sum(real_99999/10000, real_1/10000) = real_10 & % 34.32/7.04 real_$sum(real_99999/10000, real_0) = real_99999/10000 & % 34.32/7.04 real_$sum(real_1/10000, real_99999/10000) = real_10 & real_$sum(real_1/10000, % 34.32/7.04 real_0) = real_1/10000 & real_$sum(real_10, real_0) = real_10 & % 34.32/7.04 real_$sum(real_0, real_11/2) = real_11/2 & real_$sum(real_0, real_99999/10000) % 34.32/7.04 = real_99999/10000 & real_$sum(real_0, real_1/10000) = real_1/10000 & % 34.32/7.04 real_$sum(real_0, real_10) = real_10 & real_$sum(real_0, real_0) = real_0 & % 34.32/7.04 real_$greatereq(real_very_small, real_very_large) = 1 & % 34.32/7.04 real_$greatereq(real_11/2, real_11/2) = 0 & real_$greatereq(real_11/2, % 34.32/7.04 real_99999/10000) = 1 & real_$greatereq(real_11/2, real_1/10000) = 0 & % 34.32/7.04 real_$greatereq(real_11/2, real_10) = 1 & real_$greatereq(real_11/2, real_0) = % 34.32/7.04 0 & real_$greatereq(real_99999/10000, real_11/2) = 0 & % 34.32/7.04 real_$greatereq(real_99999/10000, real_99999/10000) = 0 & % 34.32/7.04 real_$greatereq(real_99999/10000, real_1/10000) = 0 & % 34.32/7.04 real_$greatereq(real_99999/10000, real_10) = 1 & % 34.32/7.04 real_$greatereq(real_99999/10000, real_0) = 0 & real_$greatereq(real_1/10000, % 34.32/7.04 real_11/2) = 1 & real_$greatereq(real_1/10000, real_99999/10000) = 1 & % 34.32/7.04 real_$greatereq(real_1/10000, real_1/10000) = 0 & % 34.32/7.04 real_$greatereq(real_1/10000, real_10) = 1 & real_$greatereq(real_1/10000, % 34.32/7.04 real_0) = 0 & real_$greatereq(real_10, real_11/2) = 0 & % 34.32/7.04 real_$greatereq(real_10, real_99999/10000) = 0 & real_$greatereq(real_10, % 34.32/7.04 real_1/10000) = 0 & real_$greatereq(real_10, real_10) = 0 & % 34.32/7.04 real_$greatereq(real_10, real_0) = 0 & real_$greatereq(real_0, real_11/2) = 1 % 34.32/7.04 & real_$greatereq(real_0, real_99999/10000) = 1 & real_$greatereq(real_0, % 34.32/7.04 real_1/10000) = 1 & real_$greatereq(real_0, real_10) = 1 & % 34.32/7.04 real_$greatereq(real_0, real_0) = 0 & real_$lesseq(real_very_small, % 34.32/7.04 real_very_large) = 0 & real_$lesseq(real_11/2, real_11/2) = 0 & % 34.32/7.04 real_$lesseq(real_11/2, real_99999/10000) = 0 & real_$lesseq(real_11/2, % 34.32/7.04 real_1/10000) = 1 & real_$lesseq(real_11/2, real_10) = 0 & % 34.32/7.04 real_$lesseq(real_11/2, real_0) = 1 & real_$lesseq(real_99999/10000, % 34.32/7.04 real_11/2) = 1 & real_$lesseq(real_99999/10000, real_99999/10000) = 0 & % 34.32/7.04 real_$lesseq(real_99999/10000, real_1/10000) = 1 & % 34.32/7.04 real_$lesseq(real_99999/10000, real_10) = 0 & real_$lesseq(real_99999/10000, % 34.32/7.04 real_0) = 1 & real_$lesseq(real_1/10000, real_11/2) = 0 & % 34.32/7.04 real_$lesseq(real_1/10000, real_99999/10000) = 0 & real_$lesseq(real_1/10000, % 34.32/7.04 real_1/10000) = 0 & real_$lesseq(real_1/10000, real_10) = 0 & % 34.32/7.04 real_$lesseq(real_1/10000, real_0) = 1 & real_$lesseq(real_10, real_11/2) = 1 % 34.32/7.04 & real_$lesseq(real_10, real_99999/10000) = 1 & real_$lesseq(real_10, % 34.32/7.04 real_1/10000) = 1 & real_$lesseq(real_10, real_10) = 0 & % 34.32/7.04 real_$lesseq(real_10, real_0) = 1 & real_$lesseq(real_0, real_11/2) = 0 & % 34.32/7.04 real_$lesseq(real_0, real_99999/10000) = 0 & real_$lesseq(real_0, % 34.32/7.04 real_1/10000) = 0 & real_$lesseq(real_0, real_10) = 0 & real_$lesseq(real_0, % 34.32/7.04 real_0) = 0 & real_$greater(real_very_large, real_11/2) = 0 & % 34.32/7.04 real_$greater(real_very_large, real_99999/10000) = 0 & % 34.32/7.04 real_$greater(real_very_large, real_1/10000) = 0 & % 34.32/7.04 real_$greater(real_very_large, real_10) = 0 & real_$greater(real_very_large, % 34.32/7.04 real_0) = 0 & real_$greater(real_very_small, real_very_large) = 1 & % 34.32/7.04 real_$greater(real_11/2, real_very_small) = 0 & real_$greater(real_11/2, % 34.32/7.04 real_11/2) = 1 & real_$greater(real_11/2, real_99999/10000) = 1 & % 34.32/7.04 real_$greater(real_11/2, real_1/10000) = 0 & real_$greater(real_11/2, real_10) % 34.32/7.04 = 1 & real_$greater(real_11/2, real_0) = 0 & real_$greater(real_99999/10000, % 34.32/7.04 real_very_small) = 0 & real_$greater(real_99999/10000, real_11/2) = 0 & % 34.32/7.04 real_$greater(real_99999/10000, real_99999/10000) = 1 & % 34.32/7.04 real_$greater(real_99999/10000, real_1/10000) = 0 & % 34.32/7.04 real_$greater(real_99999/10000, real_10) = 1 & real_$greater(real_99999/10000, % 34.32/7.04 real_0) = 0 & real_$greater(real_1/10000, real_very_small) = 0 & % 34.32/7.04 real_$greater(real_1/10000, real_11/2) = 1 & real_$greater(real_1/10000, % 34.32/7.05 real_99999/10000) = 1 & real_$greater(real_1/10000, real_1/10000) = 1 & % 34.32/7.05 real_$greater(real_1/10000, real_10) = 1 & real_$greater(real_1/10000, real_0) % 34.32/7.05 = 0 & real_$greater(real_10, real_very_small) = 0 & real_$greater(real_10, % 34.32/7.05 real_11/2) = 0 & real_$greater(real_10, real_99999/10000) = 0 & % 34.32/7.05 real_$greater(real_10, real_1/10000) = 0 & real_$greater(real_10, real_10) = 1 % 34.32/7.05 & real_$greater(real_10, real_0) = 0 & real_$greater(real_0, real_very_small) % 34.32/7.05 = 0 & real_$greater(real_0, real_11/2) = 1 & real_$greater(real_0, % 34.32/7.05 real_99999/10000) = 1 & real_$greater(real_0, real_1/10000) = 1 & % 34.32/7.05 real_$greater(real_0, real_10) = 1 & real_$greater(real_0, real_0) = 1 & % 34.32/7.05 real_$less(real_very_small, real_very_large) = 0 & real_$less(real_very_small, % 34.32/7.05 real_11/2) = 0 & real_$less(real_very_small, real_99999/10000) = 0 & % 34.32/7.05 real_$less(real_very_small, real_1/10000) = 0 & real_$less(real_very_small, % 34.32/7.05 real_10) = 0 & real_$less(real_very_small, real_0) = 0 & % 34.32/7.05 real_$less(real_11/2, real_very_large) = 0 & real_$less(real_11/2, real_11/2) % 34.32/7.05 = 1 & real_$less(real_11/2, real_99999/10000) = 0 & real_$less(real_11/2, % 34.32/7.05 real_1/10000) = 1 & real_$less(real_11/2, real_10) = 0 & % 34.32/7.05 real_$less(real_11/2, real_0) = 1 & real_$less(real_99999/10000, % 34.32/7.05 real_very_large) = 0 & real_$less(real_99999/10000, real_11/2) = 1 & % 34.32/7.05 real_$less(real_99999/10000, real_99999/10000) = 1 & % 34.32/7.05 real_$less(real_99999/10000, real_1/10000) = 1 & real_$less(real_99999/10000, % 34.32/7.05 real_10) = 0 & real_$less(real_99999/10000, real_0) = 1 & % 34.32/7.05 real_$less(real_1/10000, real_very_large) = 0 & real_$less(real_1/10000, % 34.32/7.05 real_11/2) = 0 & real_$less(real_1/10000, real_99999/10000) = 0 & % 34.32/7.05 real_$less(real_1/10000, real_1/10000) = 1 & real_$less(real_1/10000, real_10) % 34.32/7.05 = 0 & real_$less(real_1/10000, real_0) = 1 & real_$less(real_10, % 34.32/7.05 real_very_large) = 0 & real_$less(real_10, real_11/2) = 1 & % 34.32/7.05 real_$less(real_10, real_99999/10000) = 1 & real_$less(real_10, real_1/10000) % 34.32/7.05 = 1 & real_$less(real_10, real_10) = 1 & real_$less(real_10, real_0) = 1 & % 34.32/7.05 real_$less(real_0, real_very_large) = 0 & real_$less(real_0, real_11/2) = 0 & % 34.32/7.05 real_$less(real_0, real_99999/10000) = 0 & real_$less(real_0, real_1/10000) = % 34.32/7.05 0 & real_$less(real_0, real_10) = 0 & real_$less(real_0, real_0) = 1 & % 34.32/7.05 rat_$quotient(rat_0, rat_11/2) = rat_0 & rat_$quotient(rat_0, rat_99999/10000) % 34.32/7.05 = rat_0 & rat_$quotient(rat_0, rat_1/10000) = rat_0 & rat_$quotient(rat_0, % 34.32/7.05 rat_10) = rat_0 & rat_$product(rat_11/2, rat_0) = rat_0 & % 34.32/7.05 rat_$product(rat_99999/10000, rat_0) = rat_0 & rat_$product(rat_1/10000, % 34.32/7.05 rat_0) = rat_0 & rat_$product(rat_10, rat_0) = rat_0 & rat_$product(rat_0, % 34.32/7.05 rat_11/2) = rat_0 & rat_$product(rat_0, rat_99999/10000) = rat_0 & % 34.32/7.05 rat_$product(rat_0, rat_1/10000) = rat_0 & rat_$product(rat_0, rat_10) = rat_0 % 34.32/7.05 & rat_$product(rat_0, rat_0) = rat_0 & rat_$difference(rat_11/2, rat_11/2) = % 34.32/7.05 rat_0 & rat_$difference(rat_11/2, rat_0) = rat_11/2 & % 34.32/7.05 rat_$difference(rat_99999/10000, rat_99999/10000) = rat_0 & % 34.32/7.05 rat_$difference(rat_99999/10000, rat_0) = rat_99999/10000 & % 34.32/7.05 rat_$difference(rat_1/10000, rat_1/10000) = rat_0 & % 34.32/7.05 rat_$difference(rat_1/10000, rat_0) = rat_1/10000 & rat_$difference(rat_10, % 34.32/7.05 rat_99999/10000) = rat_1/10000 & rat_$difference(rat_10, rat_1/10000) = % 34.32/7.05 rat_99999/10000 & rat_$difference(rat_10, rat_10) = rat_0 & % 34.32/7.05 rat_$difference(rat_10, rat_0) = rat_10 & rat_$difference(rat_0, rat_0) = % 34.32/7.05 rat_0 & rat_$uminus(rat_0) = rat_0 & rat_$sum(rat_11/2, rat_0) = rat_11/2 & % 34.32/7.05 rat_$sum(rat_99999/10000, rat_1/10000) = rat_10 & rat_$sum(rat_99999/10000, % 34.32/7.05 rat_0) = rat_99999/10000 & rat_$sum(rat_1/10000, rat_99999/10000) = rat_10 & % 34.32/7.05 rat_$sum(rat_1/10000, rat_0) = rat_1/10000 & rat_$sum(rat_10, rat_0) = rat_10 % 34.32/7.05 & rat_$sum(rat_0, rat_11/2) = rat_11/2 & rat_$sum(rat_0, rat_99999/10000) = % 34.32/7.05 rat_99999/10000 & rat_$sum(rat_0, rat_1/10000) = rat_1/10000 & rat_$sum(rat_0, % 34.32/7.05 rat_10) = rat_10 & rat_$sum(rat_0, rat_0) = rat_0 & % 34.32/7.05 rat_$greatereq(rat_very_small, rat_very_large) = 1 & rat_$greatereq(rat_11/2, % 34.32/7.05 rat_11/2) = 0 & rat_$greatereq(rat_11/2, rat_99999/10000) = 1 & % 34.32/7.05 rat_$greatereq(rat_11/2, rat_1/10000) = 0 & rat_$greatereq(rat_11/2, rat_10) = % 34.32/7.05 1 & rat_$greatereq(rat_11/2, rat_0) = 0 & rat_$greatereq(rat_99999/10000, % 34.32/7.05 rat_11/2) = 0 & rat_$greatereq(rat_99999/10000, rat_99999/10000) = 0 & % 34.32/7.05 rat_$greatereq(rat_99999/10000, rat_1/10000) = 0 & % 34.32/7.05 rat_$greatereq(rat_99999/10000, rat_10) = 1 & rat_$greatereq(rat_99999/10000, % 34.32/7.05 rat_0) = 0 & rat_$greatereq(rat_1/10000, rat_11/2) = 1 & % 34.32/7.05 rat_$greatereq(rat_1/10000, rat_99999/10000) = 1 & rat_$greatereq(rat_1/10000, % 34.32/7.05 rat_1/10000) = 0 & rat_$greatereq(rat_1/10000, rat_10) = 1 & % 34.32/7.05 rat_$greatereq(rat_1/10000, rat_0) = 0 & rat_$greatereq(rat_10, rat_11/2) = 0 % 34.32/7.05 & rat_$greatereq(rat_10, rat_99999/10000) = 0 & rat_$greatereq(rat_10, % 34.32/7.05 rat_1/10000) = 0 & rat_$greatereq(rat_10, rat_10) = 0 & % 34.32/7.05 rat_$greatereq(rat_10, rat_0) = 0 & rat_$greatereq(rat_0, rat_11/2) = 1 & % 34.32/7.05 rat_$greatereq(rat_0, rat_99999/10000) = 1 & rat_$greatereq(rat_0, % 34.32/7.05 rat_1/10000) = 1 & rat_$greatereq(rat_0, rat_10) = 1 & rat_$greatereq(rat_0, % 34.32/7.05 rat_0) = 0 & rat_$lesseq(rat_very_small, rat_very_large) = 0 & % 34.32/7.05 rat_$lesseq(rat_11/2, rat_11/2) = 0 & rat_$lesseq(rat_11/2, rat_99999/10000) = % 34.32/7.05 0 & rat_$lesseq(rat_11/2, rat_1/10000) = 1 & rat_$lesseq(rat_11/2, rat_10) = 0 % 34.32/7.05 & rat_$lesseq(rat_11/2, rat_0) = 1 & rat_$lesseq(rat_99999/10000, rat_11/2) = % 34.32/7.05 1 & rat_$lesseq(rat_99999/10000, rat_99999/10000) = 0 & % 34.32/7.05 rat_$lesseq(rat_99999/10000, rat_1/10000) = 1 & rat_$lesseq(rat_99999/10000, % 34.32/7.05 rat_10) = 0 & rat_$lesseq(rat_99999/10000, rat_0) = 1 & % 34.32/7.05 rat_$lesseq(rat_1/10000, rat_11/2) = 0 & rat_$lesseq(rat_1/10000, % 34.32/7.05 rat_99999/10000) = 0 & rat_$lesseq(rat_1/10000, rat_1/10000) = 0 & % 34.32/7.05 rat_$lesseq(rat_1/10000, rat_10) = 0 & rat_$lesseq(rat_1/10000, rat_0) = 1 & % 34.32/7.05 rat_$lesseq(rat_10, rat_11/2) = 1 & rat_$lesseq(rat_10, rat_99999/10000) = 1 & % 34.32/7.05 rat_$lesseq(rat_10, rat_1/10000) = 1 & rat_$lesseq(rat_10, rat_10) = 0 & % 34.32/7.05 rat_$lesseq(rat_10, rat_0) = 1 & rat_$lesseq(rat_0, rat_11/2) = 0 & % 34.32/7.05 rat_$lesseq(rat_0, rat_99999/10000) = 0 & rat_$lesseq(rat_0, rat_1/10000) = 0 % 34.32/7.05 & rat_$lesseq(rat_0, rat_10) = 0 & rat_$lesseq(rat_0, rat_0) = 0 & % 34.32/7.05 rat_$greater(rat_very_large, rat_11/2) = 0 & rat_$greater(rat_very_large, % 34.32/7.05 rat_99999/10000) = 0 & rat_$greater(rat_very_large, rat_1/10000) = 0 & % 34.32/7.05 rat_$greater(rat_very_large, rat_10) = 0 & rat_$greater(rat_very_large, rat_0) % 34.32/7.05 = 0 & rat_$greater(rat_very_small, rat_very_large) = 1 & % 34.32/7.05 rat_$greater(rat_11/2, rat_very_small) = 0 & rat_$greater(rat_11/2, rat_11/2) % 34.32/7.05 = 1 & rat_$greater(rat_11/2, rat_99999/10000) = 1 & rat_$greater(rat_11/2, % 34.32/7.05 rat_1/10000) = 0 & rat_$greater(rat_11/2, rat_10) = 1 & % 34.32/7.05 rat_$greater(rat_11/2, rat_0) = 0 & rat_$greater(rat_99999/10000, % 34.32/7.05 rat_very_small) = 0 & rat_$greater(rat_99999/10000, rat_11/2) = 0 & % 34.32/7.05 rat_$greater(rat_99999/10000, rat_99999/10000) = 1 & % 34.32/7.05 rat_$greater(rat_99999/10000, rat_1/10000) = 0 & rat_$greater(rat_99999/10000, % 34.32/7.05 rat_10) = 1 & rat_$greater(rat_99999/10000, rat_0) = 0 & % 34.32/7.05 rat_$greater(rat_1/10000, rat_very_small) = 0 & rat_$greater(rat_1/10000, % 34.32/7.05 rat_11/2) = 1 & rat_$greater(rat_1/10000, rat_99999/10000) = 1 & % 34.32/7.05 rat_$greater(rat_1/10000, rat_1/10000) = 1 & rat_$greater(rat_1/10000, rat_10) % 34.32/7.05 = 1 & rat_$greater(rat_1/10000, rat_0) = 0 & rat_$greater(rat_10, % 34.32/7.05 rat_very_small) = 0 & rat_$greater(rat_10, rat_11/2) = 0 & % 34.32/7.05 rat_$greater(rat_10, rat_99999/10000) = 0 & rat_$greater(rat_10, rat_1/10000) % 34.32/7.05 = 0 & rat_$greater(rat_10, rat_10) = 1 & rat_$greater(rat_10, rat_0) = 0 & % 34.32/7.05 rat_$greater(rat_0, rat_very_small) = 0 & rat_$greater(rat_0, rat_11/2) = 1 & % 34.32/7.05 rat_$greater(rat_0, rat_99999/10000) = 1 & rat_$greater(rat_0, rat_1/10000) = % 34.32/7.05 1 & rat_$greater(rat_0, rat_10) = 1 & rat_$greater(rat_0, rat_0) = 1 & % 34.32/7.05 rat_$less(rat_very_small, rat_very_large) = 0 & rat_$less(rat_very_small, % 34.32/7.05 rat_11/2) = 0 & rat_$less(rat_very_small, rat_99999/10000) = 0 & % 34.32/7.05 rat_$less(rat_very_small, rat_1/10000) = 0 & rat_$less(rat_very_small, rat_10) % 34.32/7.05 = 0 & rat_$less(rat_very_small, rat_0) = 0 & rat_$less(rat_11/2, % 34.32/7.05 rat_very_large) = 0 & rat_$less(rat_11/2, rat_11/2) = 1 & % 34.32/7.05 rat_$less(rat_11/2, rat_99999/10000) = 0 & rat_$less(rat_11/2, rat_1/10000) = % 34.32/7.05 1 & rat_$less(rat_11/2, rat_10) = 0 & rat_$less(rat_11/2, rat_0) = 1 & % 34.32/7.05 rat_$less(rat_99999/10000, rat_very_large) = 0 & rat_$less(rat_99999/10000, % 34.32/7.05 rat_11/2) = 1 & rat_$less(rat_99999/10000, rat_99999/10000) = 1 & % 34.32/7.05 rat_$less(rat_99999/10000, rat_1/10000) = 1 & rat_$less(rat_99999/10000, % 34.32/7.05 rat_10) = 0 & rat_$less(rat_99999/10000, rat_0) = 1 & rat_$less(rat_1/10000, % 34.32/7.05 rat_very_large) = 0 & rat_$less(rat_1/10000, rat_11/2) = 0 & % 34.32/7.05 rat_$less(rat_1/10000, rat_99999/10000) = 0 & rat_$less(rat_1/10000, % 34.32/7.05 rat_1/10000) = 1 & rat_$less(rat_1/10000, rat_10) = 0 & % 34.32/7.05 rat_$less(rat_1/10000, rat_0) = 1 & rat_$less(rat_10, rat_very_large) = 0 & % 34.32/7.05 rat_$less(rat_10, rat_11/2) = 1 & rat_$less(rat_10, rat_99999/10000) = 1 & % 34.32/7.05 rat_$less(rat_10, rat_1/10000) = 1 & rat_$less(rat_10, rat_10) = 1 & % 34.32/7.05 rat_$less(rat_10, rat_0) = 1 & rat_$less(rat_0, rat_very_large) = 0 & % 34.32/7.05 rat_$less(rat_0, rat_11/2) = 0 & rat_$less(rat_0, rat_99999/10000) = 0 & % 34.32/7.05 rat_$less(rat_0, rat_1/10000) = 0 & rat_$less(rat_0, rat_10) = 0 & % 34.32/7.05 rat_$less(rat_0, rat_0) = 1 & rat_$to_int(rat_11/2) = 5 & % 34.32/7.05 rat_$to_int(rat_99999/10000) = 9 & rat_$to_int(rat_1/10000) = 0 & % 34.32/7.05 rat_$to_int(rat_10) = 10 & rat_$to_int(rat_0) = 0 & real_$to_int(real_11/2) = % 34.32/7.05 5 & real_$to_int(real_99999/10000) = 9 & real_$to_int(real_1/10000) = 0 & % 34.32/7.05 real_$to_int(real_10) = 10 & real_$to_int(real_0) = 0 & ! [v0: $real] : ! % 34.32/7.05 [v1: $real] : ! [v2: $real] : ! [v3: $real] : ! [v4: $real] : ( ~ % 34.32/7.05 (real_$sum(v3, v0) = v4) | ~ (real_$sum(v2, v1) = v3) | ? [v5: $real] : % 34.32/7.05 (real_$sum(v2, v5) = v4 & real_$sum(v1, v0) = v5)) & ! [v0: $real] : ! % 34.32/7.05 [v1: $real] : ! [v2: $real] : ! [v3: $real] : ! [v4: $real] : ( ~ % 34.32/7.05 (real_$sum(v2, v3) = v4) | ~ (real_$sum(v1, v0) = v3) | ? [v5: $real] : % 34.32/7.05 (real_$sum(v5, v0) = v4 & real_$sum(v2, v1) = v5)) & ! [v0: $rat] : ! [v1: % 34.32/7.05 $rat] : ! [v2: $rat] : ! [v3: $rat] : ! [v4: $rat] : ( ~ (rat_$sum(v3, % 34.32/7.05 v0) = v4) | ~ (rat_$sum(v2, v1) = v3) | ? [v5: $rat] : (rat_$sum(v2, % 34.32/7.05 v5) = v4 & rat_$sum(v1, v0) = v5)) & ! [v0: $rat] : ! [v1: $rat] : ! % 34.32/7.05 [v2: $rat] : ! [v3: $rat] : ! [v4: $rat] : ( ~ (rat_$sum(v2, v3) = v4) | ~ % 34.32/7.05 (rat_$sum(v1, v0) = v3) | ? [v5: $rat] : (rat_$sum(v5, v0) = v4 & % 34.32/7.05 rat_$sum(v2, v1) = v5)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] % 34.32/7.05 : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v2, v1) = 0) | ~ % 34.32/7.05 (real_$lesseq(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & real_$lesseq(v1, % 34.32/7.05 v0) = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: % 34.32/7.06 int] : (v3 = 0 | ~ (real_$lesseq(v2, v1) = 0) | ~ (real_$less(v2, v0) = % 34.32/7.06 v3) | ? [v4: int] : ( ~ (v4 = 0) & real_$less(v1, v0) = v4)) & ! [v0: % 34.32/7.06 $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: int] : (v3 = 0 | ~ % 34.32/7.06 (real_$lesseq(v2, v0) = v3) | ~ (real_$lesseq(v1, v0) = 0) | ? [v4: int] : % 34.32/7.06 ( ~ (v4 = 0) & real_$lesseq(v2, v1) = v4)) & ! [v0: $real] : ! [v1: $real] % 34.32/7.06 : ! [v2: $real] : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v1, v0) = 0) | ~ % 34.32/7.06 (real_$less(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & real_$less(v2, v1) % 34.32/7.06 = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: int] : % 34.32/7.06 (v3 = 0 | ~ (real_$less(v2, v1) = 0) | ~ (real_$less(v2, v0) = v3) | ? [v4: % 34.32/7.06 int] : ( ~ (v4 = 0) & real_$lesseq(v1, v0) = v4)) & ! [v0: $real] : ! % 34.32/7.06 [v1: $real] : ! [v2: $real] : ! [v3: int] : (v3 = 0 | ~ (real_$less(v2, v0) % 34.32/7.06 = v3) | ~ (real_$less(v1, v0) = 0) | ? [v4: int] : ( ~ (v4 = 0) & % 34.32/7.06 real_$lesseq(v2, v1) = v4)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: % 34.32/7.06 $rat] : ! [v3: int] : (v3 = 0 | ~ (rat_$lesseq(v2, v1) = 0) | ~ % 34.32/7.06 (rat_$lesseq(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & rat_$lesseq(v1, % 34.32/7.06 v0) = v4)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: % 34.32/7.06 int] : (v3 = 0 | ~ (rat_$lesseq(v2, v1) = 0) | ~ (rat_$less(v2, v0) = v3) % 34.32/7.06 | ? [v4: int] : ( ~ (v4 = 0) & rat_$less(v1, v0) = v4)) & ! [v0: $rat] : % 34.32/7.06 ! [v1: $rat] : ! [v2: $rat] : ! [v3: int] : (v3 = 0 | ~ (rat_$lesseq(v2, % 34.32/7.06 v0) = v3) | ~ (rat_$lesseq(v1, v0) = 0) | ? [v4: int] : ( ~ (v4 = 0) & % 34.32/7.06 rat_$lesseq(v2, v1) = v4)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] % 34.32/7.06 : ! [v3: int] : (v3 = 0 | ~ (rat_$lesseq(v1, v0) = 0) | ~ (rat_$less(v2, % 34.32/7.06 v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & rat_$less(v2, v1) = v4)) & ! % 34.32/7.06 [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: int] : (v3 = 0 | ~ % 34.32/7.06 (rat_$less(v2, v1) = 0) | ~ (rat_$less(v2, v0) = v3) | ? [v4: int] : ( ~ % 34.32/7.06 (v4 = 0) & rat_$lesseq(v1, v0) = v4)) & ! [v0: $rat] : ! [v1: $rat] : ! % 34.32/7.06 [v2: $rat] : ! [v3: int] : (v3 = 0 | ~ (rat_$less(v2, v0) = v3) | ~ % 34.32/7.06 (rat_$less(v1, v0) = 0) | ? [v4: int] : ( ~ (v4 = 0) & rat_$lesseq(v2, v1) % 34.32/7.06 = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] % 34.32/7.06 : ( ~ (real_$uminus(v0) = v2) | ~ (real_$sum(v1, v2) = v3) | % 34.32/7.06 real_$difference(v1, v0) = v3) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: % 34.32/7.06 $rat] : ! [v3: $rat] : ( ~ (rat_$uminus(v0) = v2) | ~ (rat_$sum(v1, v2) = % 34.32/7.06 v3) | rat_$difference(v1, v0) = v3) & ! [v0: $real] : ! [v1: $real] : ! % 34.32/7.06 [v2: int] : (v2 = 0 | v1 = v0 | ~ (real_$less(v1, v0) = v2) | ? [v3: int] : % 34.32/7.06 ( ~ (v3 = 0) & real_$lesseq(v1, v0) = v3)) & ! [v0: $rat] : ! [v1: $rat] : % 34.32/7.06 ! [v2: int] : (v2 = 0 | v1 = v0 | ~ (rat_$less(v1, v0) = v2) | ? [v3: int] % 34.32/7.06 : ( ~ (v3 = 0) & rat_$lesseq(v1, v0) = v3)) & ! [v0: $real] : ! [v1: % 34.32/7.06 $real] : ! [v2: int] : (v2 = 0 | ~ (real_$greatereq(v0, v1) = v2) | ? % 34.32/7.06 [v3: int] : ( ~ (v3 = 0) & real_$lesseq(v1, v0) = v3)) & ! [v0: $real] : ! % 34.32/7.06 [v1: $real] : ! [v2: int] : (v2 = 0 | ~ (real_$lesseq(v1, v0) = v2) | ? % 34.32/7.06 [v3: int] : ( ~ (v3 = 0) & real_$greatereq(v0, v1) = v3)) & ! [v0: $real] : % 34.32/7.06 ! [v1: $real] : ! [v2: int] : (v2 = 0 | ~ (real_$lesseq(v1, v0) = v2) | ? % 34.32/7.06 [v3: int] : ( ~ (v3 = 0) & real_$less(v1, v0) = v3)) & ! [v0: $real] : ! % 34.32/7.06 [v1: $real] : ! [v2: int] : (v2 = 0 | ~ (real_$greater(v0, v1) = v2) | ? % 34.32/7.06 [v3: int] : ( ~ (v3 = 0) & real_$less(v1, v0) = v3)) & ! [v0: $real] : ! % 34.32/7.06 [v1: $real] : ! [v2: int] : (v2 = 0 | ~ (real_$less(v1, v0) = v2) | ? [v3: % 34.32/7.06 int] : ( ~ (v3 = 0) & real_$greater(v0, v1) = v3)) & ! [v0: $rat] : ! % 34.32/7.06 [v1: $rat] : ! [v2: int] : (v2 = 0 | ~ (rat_$greatereq(v0, v1) = v2) | ? % 34.32/7.06 [v3: int] : ( ~ (v3 = 0) & rat_$lesseq(v1, v0) = v3)) & ! [v0: $rat] : ! % 34.32/7.06 [v1: $rat] : ! [v2: int] : (v2 = 0 | ~ (rat_$lesseq(v1, v0) = v2) | ? [v3: % 34.32/7.06 int] : ( ~ (v3 = 0) & rat_$greatereq(v0, v1) = v3)) & ! [v0: $rat] : ! % 34.32/7.06 [v1: $rat] : ! [v2: int] : (v2 = 0 | ~ (rat_$lesseq(v1, v0) = v2) | ? [v3: % 34.32/7.06 int] : ( ~ (v3 = 0) & rat_$less(v1, v0) = v3)) & ! [v0: $rat] : ! [v1: % 34.32/7.06 $rat] : ! [v2: int] : (v2 = 0 | ~ (rat_$greater(v0, v1) = v2) | ? [v3: % 34.32/7.06 int] : ( ~ (v3 = 0) & rat_$less(v1, v0) = v3)) & ! [v0: $rat] : ! [v1: % 34.32/7.06 $rat] : ! [v2: int] : (v2 = 0 | ~ (rat_$less(v1, v0) = v2) | ? [v3: int] % 34.32/7.06 : ( ~ (v3 = 0) & rat_$greater(v0, v1) = v3)) & ! [v0: $real] : ! [v1: % 34.32/7.06 $real] : ! [v2: $real] : (v0 = real_0 | ~ (real_$product(v1, v0) = v2) | % 34.32/7.06 real_$quotient(v2, v0) = v1) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] % 34.32/7.06 : (v0 = rat_0 | ~ (rat_$product(v1, v0) = v2) | rat_$quotient(v2, v0) = v1) & % 34.32/7.06 ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ( ~ (real_$product(v1, v0) % 34.32/7.06 = v2) | real_$product(v0, v1) = v2) & ! [v0: $real] : ! [v1: $real] : ! % 34.32/7.06 [v2: $real] : ( ~ (real_$product(v0, v1) = v2) | real_$product(v1, v0) = v2) & % 34.32/7.06 ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ( ~ (real_$difference(v1, % 34.32/7.06 v0) = v2) | ? [v3: $real] : (real_$uminus(v0) = v3 & real_$sum(v1, v3) % 34.32/7.06 = v2)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ( ~ % 34.32/7.06 (real_$sum(v1, v0) = v2) | real_$sum(v0, v1) = v2) & ! [v0: $real] : ! % 34.32/7.06 [v1: $real] : ! [v2: $real] : ( ~ (real_$sum(v0, v1) = v2) | real_$sum(v1, % 34.32/7.06 v0) = v2) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ( ~ % 34.32/7.06 (real_$lesseq(v2, v1) = 0) | ~ (real_$lesseq(v1, v0) = 0) | % 34.32/7.06 real_$lesseq(v2, v0) = 0) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] % 34.32/7.06 : ( ~ (real_$lesseq(v2, v1) = 0) | ~ (real_$less(v1, v0) = 0) | % 34.32/7.06 real_$less(v2, v0) = 0) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : % 34.32/7.06 ( ~ (real_$lesseq(v1, v0) = 0) | ~ (real_$less(v2, v1) = 0) | real_$less(v2, % 34.32/7.06 v0) = 0) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ % 34.32/7.06 (rat_$product(v1, v0) = v2) | rat_$product(v0, v1) = v2) & ! [v0: $rat] : % 34.32/7.06 ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$product(v0, v1) = v2) | % 34.32/7.06 rat_$product(v1, v0) = v2) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : % 34.32/7.06 ( ~ (rat_$difference(v1, v0) = v2) | ? [v3: $rat] : (rat_$uminus(v0) = v3 & % 34.32/7.06 rat_$sum(v1, v3) = v2)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : % 34.32/7.06 ( ~ (rat_$sum(v1, v0) = v2) | rat_$sum(v0, v1) = v2) & ! [v0: $rat] : ! [v1: % 34.32/7.06 $rat] : ! [v2: $rat] : ( ~ (rat_$sum(v0, v1) = v2) | rat_$sum(v1, v0) = v2) % 34.32/7.06 & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$lesseq(v2, v1) = % 34.32/7.06 0) | ~ (rat_$lesseq(v1, v0) = 0) | rat_$lesseq(v2, v0) = 0) & ! [v0: % 34.32/7.06 $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$lesseq(v2, v1) = 0) | ~ % 34.32/7.06 (rat_$less(v1, v0) = 0) | rat_$less(v2, v0) = 0) & ! [v0: $rat] : ! [v1: % 34.32/7.06 $rat] : ! [v2: $rat] : ( ~ (rat_$lesseq(v1, v0) = 0) | ~ (rat_$less(v2, % 34.32/7.06 v1) = 0) | rat_$less(v2, v0) = 0) & ! [v0: $real] : ! [v1: $real] : % 34.32/7.06 (v1 = v0 | ~ (real_$sum(v0, real_0) = v1)) & ! [v0: $real] : ! [v1: $real] % 34.32/7.06 : (v1 = v0 | ~ (real_$lesseq(v1, v0) = 0) | real_$less(v1, v0) = 0) & ! [v0: % 34.32/7.06 $rat] : ! [v1: $rat] : (v1 = v0 | ~ (rat_$sum(v0, rat_0) = v1)) & ! [v0: % 34.32/7.06 $rat] : ! [v1: $rat] : (v1 = v0 | ~ (rat_$lesseq(v1, v0) = 0) | % 34.32/7.06 rat_$less(v1, v0) = 0) & ! [v0: $real] : ! [v1: int] : (v1 = 0 | ~ % 34.32/7.06 (real_$lesseq(v0, v0) = v1)) & ! [v0: $rat] : ! [v1: int] : (v1 = 0 | ~ % 34.32/7.06 (rat_$lesseq(v0, v0) = v1)) & ! [v0: $real] : ! [v1: $real] : ( ~ % 34.32/7.06 (real_$uminus(v0) = v1) | real_$uminus(v1) = v0) & ! [v0: $real] : ! [v1: % 34.32/7.06 $real] : ( ~ (real_$uminus(v0) = v1) | real_$sum(v0, v1) = real_0) & ! [v0: % 34.32/7.06 $real] : ! [v1: $real] : ( ~ (real_$greatereq(v0, v1) = 0) | % 34.32/7.06 real_$lesseq(v1, v0) = 0) & ! [v0: $real] : ! [v1: $real] : ( ~ % 34.32/7.06 (real_$lesseq(v1, v0) = 0) | real_$greatereq(v0, v1) = 0) & ! [v0: $real] : % 34.32/7.06 ! [v1: $real] : ( ~ (real_$greater(v0, v1) = 0) | real_$less(v1, v0) = 0) & % 34.32/7.06 ! [v0: $real] : ! [v1: $real] : ( ~ (real_$less(v1, v0) = 0) | % 34.32/7.06 real_$lesseq(v1, v0) = 0) & ! [v0: $real] : ! [v1: $real] : ( ~ % 34.32/7.06 (real_$less(v1, v0) = 0) | real_$greater(v0, v1) = 0) & ! [v0: $real] : ! % 34.32/7.06 [v1: MultipleValueBool] : ( ~ (real_$less(v0, v0) = v1) | real_$lesseq(v0, v0) % 34.32/7.06 = 0) & ! [v0: $rat] : ! [v1: $rat] : ( ~ (rat_$uminus(v0) = v1) | % 34.32/7.06 rat_$uminus(v1) = v0) & ! [v0: $rat] : ! [v1: $rat] : ( ~ (rat_$uminus(v0) % 34.32/7.06 = v1) | rat_$sum(v0, v1) = rat_0) & ! [v0: $rat] : ! [v1: $rat] : ( ~ % 34.32/7.06 (rat_$greatereq(v0, v1) = 0) | rat_$lesseq(v1, v0) = 0) & ! [v0: $rat] : ! % 34.32/7.06 [v1: $rat] : ( ~ (rat_$lesseq(v1, v0) = 0) | rat_$greatereq(v0, v1) = 0) & ! % 34.32/7.06 [v0: $rat] : ! [v1: $rat] : ( ~ (rat_$greater(v0, v1) = 0) | rat_$less(v1, % 34.32/7.06 v0) = 0) & ! [v0: $rat] : ! [v1: $rat] : ( ~ (rat_$less(v1, v0) = 0) | % 34.32/7.06 rat_$lesseq(v1, v0) = 0) & ! [v0: $rat] : ! [v1: $rat] : ( ~ % 34.32/7.06 (rat_$less(v1, v0) = 0) | rat_$greater(v0, v1) = 0) & ! [v0: $rat] : ! % 34.32/7.06 [v1: MultipleValueBool] : ( ~ (rat_$less(v0, v0) = v1) | rat_$lesseq(v0, v0) = % 34.32/7.06 0) & ! [v0: $real] : (v0 = real_0 | ~ (real_$uminus(v0) = v0)) & ! [v0: % 34.32/7.06 $rat] : (v0 = rat_0 | ~ (rat_$uminus(v0) = v0)) % 34.32/7.06 % 34.32/7.06 (function-axioms) % 34.59/7.07 ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | % 34.59/7.07 ~ (real_$quotient(v3, v2) = v1) | ~ (real_$quotient(v3, v2) = v0)) & ! % 34.59/7.07 [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~ % 34.59/7.07 (real_$product(v3, v2) = v1) | ~ (real_$product(v3, v2) = v0)) & ! [v0: % 34.59/7.07 $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~ % 34.59/7.07 (real_$difference(v3, v2) = v1) | ~ (real_$difference(v3, v2) = v0)) & ! % 34.59/7.07 [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~ % 34.59/7.07 (real_$sum(v3, v2) = v1) | ~ (real_$sum(v3, v2) = v0)) & ! [v0: % 34.59/7.07 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $real] : ! [v3: % 34.59/7.07 $real] : (v1 = v0 | ~ (real_$greatereq(v3, v2) = v1) | ~ % 34.59/7.07 (real_$greatereq(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 34.59/7.07 MultipleValueBool] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~ % 34.59/7.07 (real_$lesseq(v3, v2) = v1) | ~ (real_$lesseq(v3, v2) = v0)) & ! [v0: % 34.59/7.07 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $real] : ! [v3: % 34.59/7.07 $real] : (v1 = v0 | ~ (real_$greater(v3, v2) = v1) | ~ (real_$greater(v3, % 34.59/7.07 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 34.59/7.07 ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~ (real_$less(v3, v2) = v1) | ~ % 34.59/7.07 (real_$less(v3, v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : % 34.59/7.07 ! [v3: $rat] : (v1 = v0 | ~ (rat_$quotient(v3, v2) = v1) | ~ % 34.59/7.07 (rat_$quotient(v3, v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: % 34.59/7.07 $rat] : ! [v3: $rat] : (v1 = v0 | ~ (rat_$product(v3, v2) = v1) | ~ % 34.59/7.07 (rat_$product(v3, v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] % 34.59/7.07 : ! [v3: $rat] : (v1 = v0 | ~ (rat_$difference(v3, v2) = v1) | ~ % 34.59/7.07 (rat_$difference(v3, v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: % 34.59/7.07 $rat] : ! [v3: $rat] : (v1 = v0 | ~ (rat_$sum(v3, v2) = v1) | ~ % 34.59/7.07 (rat_$sum(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 34.59/7.07 MultipleValueBool] : ! [v2: $rat] : ! [v3: $rat] : (v1 = v0 | ~ % 34.59/7.07 (rat_$greatereq(v3, v2) = v1) | ~ (rat_$greatereq(v3, v2) = v0)) & ! [v0: % 34.59/7.07 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $rat] : ! [v3: % 34.59/7.07 $rat] : (v1 = v0 | ~ (rat_$lesseq(v3, v2) = v1) | ~ (rat_$lesseq(v3, v2) = % 34.59/7.07 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 34.59/7.07 $rat] : ! [v3: $rat] : (v1 = v0 | ~ (rat_$greater(v3, v2) = v1) | ~ % 34.59/7.07 (rat_$greater(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 34.59/7.07 MultipleValueBool] : ! [v2: $rat] : ! [v3: $rat] : (v1 = v0 | ~ % 34.59/7.07 (rat_$less(v3, v2) = v1) | ~ (rat_$less(v3, v2) = v0)) & ! [v0: % 34.59/7.07 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $rat] : (v1 = v0 | % 34.59/7.07 ~ (rat_$is_int(v2) = v1) | ~ (rat_$is_int(v2) = v0)) & ! [v0: % 34.59/7.07 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $rat] : (v1 = v0 | % 34.59/7.07 ~ (rat_$is_rat(v2) = v1) | ~ (rat_$is_rat(v2) = v0)) & ! [v0: $rat] : ! % 34.59/7.07 [v1: $rat] : ! [v2: $rat] : (v1 = v0 | ~ (rat_$floor(v2) = v1) | ~ % 34.59/7.07 (rat_$floor(v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : (v1 % 34.59/7.07 = v0 | ~ (rat_$ceiling(v2) = v1) | ~ (rat_$ceiling(v2) = v0)) & ! [v0: % 34.59/7.07 $rat] : ! [v1: $rat] : ! [v2: $rat] : (v1 = v0 | ~ (rat_$truncate(v2) = % 34.59/7.07 v1) | ~ (rat_$truncate(v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : ! % 34.59/7.07 [v2: $rat] : (v1 = v0 | ~ (rat_$round(v2) = v1) | ~ (rat_$round(v2) = v0)) & % 34.59/7.07 ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : (v1 = v0 | ~ (rat_$to_rat(v2) % 34.59/7.07 = v1) | ~ (rat_$to_rat(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! % 34.59/7.07 [v2: $rat] : (v1 = v0 | ~ (rat_$to_real(v2) = v1) | ~ (rat_$to_real(v2) = % 34.59/7.07 v0)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: int] : (v1 = v0 | ~ % 34.59/7.07 (int_$to_rat(v2) = v1) | ~ (int_$to_rat(v2) = v0)) & ! [v0: % 34.59/7.07 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $real] : (v1 = v0 % 34.59/7.07 | ~ (real_$is_int(v2) = v1) | ~ (real_$is_int(v2) = v0)) & ! [v0: % 34.59/7.07 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $real] : (v1 = v0 % 34.59/7.07 | ~ (real_$is_rat(v2) = v1) | ~ (real_$is_rat(v2) = v0)) & ! [v0: $real] % 34.59/7.07 : ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~ (real_$floor(v2) = v1) | ~ % 34.59/7.07 (real_$floor(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : % 34.59/7.07 (v1 = v0 | ~ (real_$ceiling(v2) = v1) | ~ (real_$ceiling(v2) = v0)) & ! % 34.59/7.07 [v0: $real] : ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~ % 34.59/7.07 (real_$truncate(v2) = v1) | ~ (real_$truncate(v2) = v0)) & ! [v0: $real] : % 34.59/7.07 ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~ (real_$round(v2) = v1) | ~ % 34.59/7.07 (real_$round(v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $real] : % 34.59/7.07 (v1 = v0 | ~ (real_$to_rat(v2) = v1) | ~ (real_$to_rat(v2) = v0)) & ! [v0: % 34.59/7.07 $real] : ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~ (real_$to_real(v2) % 34.59/7.07 = v1) | ~ (real_$to_real(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : % 34.59/7.07 ! [v2: int] : (v1 = v0 | ~ (int_$to_real(v2) = v1) | ~ (int_$to_real(v2) = % 34.59/7.07 v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~ % 34.59/7.07 (real_$uminus(v2) = v1) | ~ (real_$uminus(v2) = v0)) & ! [v0: $rat] : ! % 34.59/7.07 [v1: $rat] : ! [v2: $rat] : (v1 = v0 | ~ (rat_$uminus(v2) = v1) | ~ % 34.59/7.07 (rat_$uminus(v2) = v0)) & ! [v0: int] : ! [v1: int] : ! [v2: $rat] : (v1 % 34.59/7.07 = v0 | ~ (rat_$to_int(v2) = v1) | ~ (rat_$to_int(v2) = v0)) & ! [v0: int] % 34.59/7.07 : ! [v1: int] : ! [v2: $real] : (v1 = v0 | ~ (real_$to_int(v2) = v1) | ~ % 34.59/7.07 (real_$to_int(v2) = v0)) % 34.59/7.07 % 34.59/7.07 Those formulas are unsatisfiable: % 34.59/7.07 --------------------------------- % 34.59/7.07 % 34.59/7.07 Begin of proof % 34.59/7.07 | % 34.59/7.07 | ALPHA: (function-axioms) implies: % 34.59/7.08 | (1) ! [v0: int] : ! [v1: int] : ! [v2: $real] : (v1 = v0 | ~ % 34.59/7.08 | (real_$to_int(v2) = v1) | ~ (real_$to_int(v2) = v0)) % 34.59/7.08 | (2) ! [v0: int] : ! [v1: int] : ! [v2: $rat] : (v1 = v0 | ~ % 34.59/7.08 | (rat_$to_int(v2) = v1) | ~ (rat_$to_int(v2) = v0)) % 34.59/7.08 | % 34.59/7.08 | ALPHA: (input) implies: % 34.59/7.08 | (3) real_$to_int(real_99999/10000) = 9 % 34.59/7.08 | (4) rat_$to_int(rat_11/2) = 5 % 34.59/7.08 | % 34.59/7.08 | DELTA: instantiating (mixed_types_problem_34) with fresh symbols all_5_0, % 34.59/7.08 | all_5_1 gives: % 34.59/7.08 | (5) $lesseq(0, $difference(all_5_0, $product(2, all_5_1))) & % 34.59/7.08 | rat_$to_int(rat_11/2) = all_5_1 & real_$to_int(real_99999/10000) = % 34.59/7.08 | all_5_0 % 34.59/7.08 | % 34.59/7.08 | ALPHA: (5) implies: % 34.59/7.08 | (6) $lesseq(0, $difference(all_5_0, $product(2, all_5_1))) % 34.59/7.08 | (7) real_$to_int(real_99999/10000) = all_5_0 % 34.59/7.08 | (8) rat_$to_int(rat_11/2) = all_5_1 % 34.59/7.08 | % 34.59/7.08 | GROUND_INST: instantiating (1) with 9, all_5_0, real_99999/10000, simplifying % 34.59/7.08 | with (3), (7) gives: % 34.59/7.08 | (9) all_5_0 = 9 % 34.59/7.08 | % 34.59/7.08 | GROUND_INST: instantiating (2) with 5, all_5_1, rat_11/2, simplifying with % 34.59/7.08 | (4), (8) gives: % 34.59/7.08 | (10) all_5_1 = 5 % 34.59/7.08 | % 34.59/7.08 | REDUCE: (6), (9), (10) imply: % 34.59/7.08 | (11) $false % 34.59/7.09 | % 34.59/7.09 | CLOSE: (11) is inconsistent. % 34.59/7.09 | % 34.59/7.09 End of proof % 34.59/7.09 % SZS output end Proof for theBenchmark % 34.59/7.09 % 34.59/7.09 6453ms %------------------------------------------------------------------------------