%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ARI492_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 : n022.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 17:48:09 EDT 2023 % Result : Theorem 9.12s 1.94s % Output : Proof 53.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : ARI492_1 : TPTP v8.1.2. Released v5.0.0. % 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.35 % Computer : n022.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Tue Aug 29 18:41:08 EDT 2023 % 0.14/0.35 % CPUTime : % 0.62/0.62 ________ _____ % 0.62/0.62 ___ __ \_________(_)________________________________ % 0.62/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.62/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.62/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.62/0.62 % 0.62/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.62/0.62 (2023-06-19) % 0.62/0.62 % 0.62/0.62 (c) Philipp Rümmer, 2009-2023 % 0.62/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.62/0.62 Amanda Stjerna. % 0.62/0.62 Free software under BSD-3-Clause. % 0.62/0.62 % 0.62/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.62/0.62 % 0.62/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.66/0.63 Running up to 7 provers in parallel. % 0.70/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.70/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.70/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.70/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.70/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.70/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.70/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.87/0.92 Prover 6: Warning: Problem contains reals, using incomplete axiomatisation % 1.87/0.92 Prover 5: Warning: Problem contains reals, using incomplete axiomatisation % 1.87/0.92 Prover 2: Warning: Problem contains reals, using incomplete axiomatisation % 1.87/0.93 Prover 1: Warning: Problem contains reals, using incomplete axiomatisation % 1.87/0.93 Prover 3: Warning: Problem contains reals, using incomplete axiomatisation % 1.87/0.93 Prover 0: Warning: Problem contains reals, using incomplete axiomatisation % 1.87/0.93 Prover 4: Warning: Problem contains reals, using incomplete axiomatisation % 2.53/1.07 Prover 4: Preprocessing ... % 2.53/1.07 Prover 1: Preprocessing ... % 2.98/1.15 Prover 6: Preprocessing ... % 2.98/1.15 Prover 0: Preprocessing ... % 8.55/1.89 Prover 6: Constructing countermodel ... % 9.12/1.92 Prover 4: Constructing countermodel ... % 9.12/1.92 Prover 0: Constructing countermodel ... % 9.12/1.93 Prover 1: Constructing countermodel ... % 9.12/1.94 Prover 0: proved (1298ms) % 9.12/1.94 Prover 6: proved (1292ms) % 9.12/1.94 % 9.12/1.94 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 9.12/1.94 % 9.12/1.95 % 9.12/1.95 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 9.12/1.95 % 9.12/1.96 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 9.12/1.96 Prover 7: Warning: Problem contains reals, using incomplete axiomatisation % 9.12/1.96 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 9.12/1.97 Prover 8: Warning: Problem contains reals, using incomplete axiomatisation % 9.70/1.99 Prover 8: Preprocessing ... % 12.07/2.37 Prover 8: Warning: ignoring some quantifiers % 12.85/2.38 Prover 8: Constructing countermodel ... % 13.08/2.43 Prover 4: Found proof (size 7) % 13.08/2.43 Prover 4: proved (1788ms) % 13.08/2.43 Prover 8: stopped % 13.08/2.44 Prover 1: stopped % 14.31/2.62 Prover 5: Preprocessing ... % 14.31/2.68 Prover 2: Preprocessing ... % 15.10/2.69 Prover 3: Preprocessing ... % 16.53/2.94 Prover 7: Preprocessing ... % 32.65/5.29 Prover 7: stopped % 32.65/5.29 Prover 2: stopped % 43.56/7.23 Prover 5: Constructing countermodel ... % 43.56/7.23 Prover 5: stopped % 52.76/14.07 Prover 3: Constructing countermodel ... % 52.76/14.08 Prover 3: stopped % 52.76/14.08 % 52.76/14.08 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 52.76/14.08 % 52.76/14.08 % SZS output start Proof for theBenchmark % 52.76/14.09 Assumptions after simplification: % 52.76/14.09 --------------------------------- % 52.76/14.09 % 52.76/14.09 (real_combined_problem_7) % 53.15/14.13 ? [v0: int] : ( ~ (v0 = 0) & real_$less(real_413/25, real_1203/50) = v0) % 53.15/14.13 % 53.15/14.13 (input) % 53.51/14.27 ~ (real_very_large = real_very_small) & ~ (real_very_large = real_1203/50) & % 53.51/14.27 ~ (real_very_large = real_271/10) & ~ (real_very_large = real_-76/25) & ~ % 53.51/14.27 (real_very_large = real_76/25) & ~ (real_very_large = real_413/25) & ~ % 53.51/14.27 (real_very_large = real_-413/10) & ~ (real_very_large = real_569/5) & ~ % 53.51/14.27 (real_very_large = real_145/2) & ~ (real_very_large = real_-2/5) & ~ % 53.51/14.27 (real_very_large = real_0) & ~ (real_very_small = real_1203/50) & ~ % 53.51/14.27 (real_very_small = real_271/10) & ~ (real_very_small = real_-76/25) & ~ % 53.51/14.27 (real_very_small = real_76/25) & ~ (real_very_small = real_413/25) & ~ % 53.51/14.27 (real_very_small = real_-413/10) & ~ (real_very_small = real_569/5) & ~ % 53.51/14.27 (real_very_small = real_145/2) & ~ (real_very_small = real_-2/5) & ~ % 53.51/14.27 (real_very_small = real_0) & ~ (real_1203/50 = real_271/10) & ~ % 53.51/14.27 (real_1203/50 = real_-76/25) & ~ (real_1203/50 = real_76/25) & ~ % 53.51/14.27 (real_1203/50 = real_413/25) & ~ (real_1203/50 = real_-413/10) & ~ % 53.51/14.27 (real_1203/50 = real_569/5) & ~ (real_1203/50 = real_145/2) & ~ % 53.51/14.27 (real_1203/50 = real_-2/5) & ~ (real_1203/50 = real_0) & ~ (real_271/10 = % 53.51/14.27 real_-76/25) & ~ (real_271/10 = real_76/25) & ~ (real_271/10 = % 53.51/14.27 real_413/25) & ~ (real_271/10 = real_-413/10) & ~ (real_271/10 = % 53.51/14.27 real_569/5) & ~ (real_271/10 = real_145/2) & ~ (real_271/10 = real_-2/5) & % 53.51/14.27 ~ (real_271/10 = real_0) & ~ (real_-76/25 = real_76/25) & ~ (real_-76/25 = % 53.51/14.27 real_413/25) & ~ (real_-76/25 = real_-413/10) & ~ (real_-76/25 = % 53.51/14.27 real_569/5) & ~ (real_-76/25 = real_145/2) & ~ (real_-76/25 = real_-2/5) & % 53.51/14.27 ~ (real_-76/25 = real_0) & ~ (real_76/25 = real_413/25) & ~ (real_76/25 = % 53.51/14.27 real_-413/10) & ~ (real_76/25 = real_569/5) & ~ (real_76/25 = real_145/2) % 53.51/14.27 & ~ (real_76/25 = real_-2/5) & ~ (real_76/25 = real_0) & ~ (real_413/25 = % 53.51/14.27 real_-413/10) & ~ (real_413/25 = real_569/5) & ~ (real_413/25 = % 53.51/14.27 real_145/2) & ~ (real_413/25 = real_-2/5) & ~ (real_413/25 = real_0) & ~ % 53.51/14.27 (real_-413/10 = real_569/5) & ~ (real_-413/10 = real_145/2) & ~ % 53.51/14.27 (real_-413/10 = real_-2/5) & ~ (real_-413/10 = real_0) & ~ (real_569/5 = % 53.51/14.27 real_145/2) & ~ (real_569/5 = real_-2/5) & ~ (real_569/5 = real_0) & ~ % 53.51/14.27 (real_145/2 = real_-2/5) & ~ (real_145/2 = real_0) & ~ (real_-2/5 = real_0) % 53.51/14.27 & real_$is_int(real_1203/50) = 1 & real_$is_int(real_271/10) = 1 & % 53.51/14.27 real_$is_int(real_-76/25) = 1 & real_$is_int(real_76/25) = 1 & % 53.51/14.27 real_$is_int(real_413/25) = 1 & real_$is_int(real_-413/10) = 1 & % 53.51/14.27 real_$is_int(real_569/5) = 1 & real_$is_int(real_145/2) = 1 & % 53.51/14.27 real_$is_int(real_-2/5) = 1 & real_$is_int(real_0) = 0 & % 53.51/14.27 real_$is_rat(real_1203/50) = 0 & real_$is_rat(real_271/10) = 0 & % 53.51/14.27 real_$is_rat(real_-76/25) = 0 & real_$is_rat(real_76/25) = 0 & % 53.51/14.27 real_$is_rat(real_413/25) = 0 & real_$is_rat(real_-413/10) = 0 & % 53.51/14.27 real_$is_rat(real_569/5) = 0 & real_$is_rat(real_145/2) = 0 & % 53.51/14.27 real_$is_rat(real_-2/5) = 0 & real_$is_rat(real_0) = 0 & real_$floor(real_0) = % 53.51/14.27 real_0 & real_$ceiling(real_-2/5) = real_0 & real_$ceiling(real_0) = real_0 & % 53.51/14.27 real_$truncate(real_-2/5) = real_0 & real_$truncate(real_0) = real_0 & % 53.51/14.27 real_$round(real_-2/5) = real_0 & real_$round(real_0) = real_0 & % 53.51/14.27 real_$to_int(real_1203/50) = 24 & real_$to_int(real_271/10) = 27 & % 53.51/14.27 real_$to_int(real_-76/25) = -4 & real_$to_int(real_76/25) = 3 & % 53.51/14.27 real_$to_int(real_413/25) = 16 & real_$to_int(real_-413/10) = -42 & % 53.51/14.27 real_$to_int(real_569/5) = 113 & real_$to_int(real_145/2) = 72 & % 53.51/14.27 real_$to_int(real_-2/5) = -1 & real_$to_int(real_0) = 0 & % 53.51/14.27 real_$to_rat(real_1203/50) = rat_1203/50 & real_$to_rat(real_271/10) = % 53.51/14.27 rat_271/10 & real_$to_rat(real_-76/25) = rat_-76/25 & real_$to_rat(real_76/25) % 53.51/14.27 = rat_76/25 & real_$to_rat(real_413/25) = rat_413/25 & % 53.51/14.27 real_$to_rat(real_-413/10) = rat_-413/10 & real_$to_rat(real_569/5) = % 53.51/14.27 rat_569/5 & real_$to_rat(real_145/2) = rat_145/2 & real_$to_rat(real_-2/5) = % 53.51/14.27 rat_-2/5 & real_$to_rat(real_0) = rat_0 & real_$to_real(real_1203/50) = % 53.51/14.27 real_1203/50 & real_$to_real(real_271/10) = real_271/10 & % 53.51/14.27 real_$to_real(real_-76/25) = real_-76/25 & real_$to_real(real_76/25) = % 53.51/14.27 real_76/25 & real_$to_real(real_413/25) = real_413/25 & % 53.51/14.27 real_$to_real(real_-413/10) = real_-413/10 & real_$to_real(real_569/5) = % 53.51/14.27 real_569/5 & real_$to_real(real_145/2) = real_145/2 & real_$to_real(real_-2/5) % 53.51/14.27 = real_-2/5 & real_$to_real(real_0) = real_0 & int_$to_real(0) = real_0 & % 53.51/14.27 real_$quotient(real_413/25, real_-413/10) = real_-2/5 & % 53.51/14.27 real_$quotient(real_413/25, real_-2/5) = real_-413/10 & real_$quotient(real_0, % 53.51/14.27 real_1203/50) = real_0 & real_$quotient(real_0, real_271/10) = real_0 & % 53.51/14.27 real_$quotient(real_0, real_-76/25) = real_0 & real_$quotient(real_0, % 53.51/14.27 real_76/25) = real_0 & real_$quotient(real_0, real_413/25) = real_0 & % 53.51/14.27 real_$quotient(real_0, real_-413/10) = real_0 & real_$quotient(real_0, % 53.51/14.27 real_569/5) = real_0 & real_$quotient(real_0, real_145/2) = real_0 & % 53.51/14.27 real_$quotient(real_0, real_-2/5) = real_0 & real_$product(real_1203/50, % 53.51/14.27 real_0) = real_0 & real_$product(real_271/10, real_0) = real_0 & % 53.51/14.27 real_$product(real_-76/25, real_0) = real_0 & real_$product(real_76/25, % 53.51/14.27 real_0) = real_0 & real_$product(real_413/25, real_0) = real_0 & % 53.51/14.27 real_$product(real_-413/10, real_-2/5) = real_413/25 & % 53.51/14.27 real_$product(real_-413/10, real_0) = real_0 & real_$product(real_569/5, % 53.51/14.27 real_0) = real_0 & real_$product(real_145/2, real_0) = real_0 & % 53.51/14.27 real_$product(real_-2/5, real_-413/10) = real_413/25 & % 53.51/14.27 real_$product(real_-2/5, real_0) = real_0 & real_$product(real_0, % 53.51/14.27 real_1203/50) = real_0 & real_$product(real_0, real_271/10) = real_0 & % 53.51/14.27 real_$product(real_0, real_-76/25) = real_0 & real_$product(real_0, % 53.51/14.27 real_76/25) = real_0 & real_$product(real_0, real_413/25) = real_0 & % 53.51/14.27 real_$product(real_0, real_-413/10) = real_0 & real_$product(real_0, % 53.51/14.27 real_569/5) = real_0 & real_$product(real_0, real_145/2) = real_0 & % 53.51/14.27 real_$product(real_0, real_-2/5) = real_0 & real_$product(real_0, real_0) = % 53.51/14.27 real_0 & real_$difference(real_1203/50, real_1203/50) = real_0 & % 53.88/14.27 real_$difference(real_1203/50, real_271/10) = real_-76/25 & % 53.88/14.27 real_$difference(real_1203/50, real_-76/25) = real_271/10 & % 53.88/14.27 real_$difference(real_1203/50, real_0) = real_1203/50 & % 53.88/14.27 real_$difference(real_271/10, real_1203/50) = real_76/25 & % 53.88/14.27 real_$difference(real_271/10, real_271/10) = real_0 & % 53.88/14.27 real_$difference(real_271/10, real_76/25) = real_1203/50 & % 53.88/14.27 real_$difference(real_271/10, real_0) = real_271/10 & % 53.88/14.27 real_$difference(real_-76/25, real_-76/25) = real_0 & % 53.88/14.27 real_$difference(real_-76/25, real_0) = real_-76/25 & % 53.88/14.27 real_$difference(real_76/25, real_76/25) = real_0 & % 53.88/14.27 real_$difference(real_76/25, real_0) = real_76/25 & % 53.88/14.27 real_$difference(real_413/25, real_413/25) = real_0 & % 53.88/14.27 real_$difference(real_413/25, real_0) = real_413/25 & % 53.88/14.27 real_$difference(real_-413/10, real_-413/10) = real_0 & % 53.88/14.27 real_$difference(real_-413/10, real_0) = real_-413/10 & % 53.88/14.27 real_$difference(real_569/5, real_569/5) = real_0 & % 53.88/14.27 real_$difference(real_569/5, real_0) = real_569/5 & % 53.88/14.27 real_$difference(real_145/2, real_-413/10) = real_569/5 & % 53.88/14.27 real_$difference(real_145/2, real_569/5) = real_-413/10 & % 53.88/14.27 real_$difference(real_145/2, real_145/2) = real_0 & % 53.88/14.27 real_$difference(real_145/2, real_0) = real_145/2 & % 53.88/14.27 real_$difference(real_-2/5, real_-2/5) = real_0 & real_$difference(real_-2/5, % 53.88/14.27 real_0) = real_-2/5 & real_$difference(real_0, real_-76/25) = real_76/25 & % 53.88/14.27 real_$difference(real_0, real_76/25) = real_-76/25 & real_$difference(real_0, % 53.88/14.28 real_0) = real_0 & real_$uminus(real_-76/25) = real_76/25 & % 53.88/14.28 real_$uminus(real_76/25) = real_-76/25 & real_$uminus(real_0) = real_0 & % 53.88/14.28 real_$sum(real_1203/50, real_76/25) = real_271/10 & real_$sum(real_1203/50, % 53.88/14.28 real_0) = real_1203/50 & real_$sum(real_271/10, real_-76/25) = real_1203/50 % 53.88/14.28 & real_$sum(real_271/10, real_0) = real_271/10 & real_$sum(real_-76/25, % 53.88/14.28 real_271/10) = real_1203/50 & real_$sum(real_-76/25, real_76/25) = real_0 & % 53.88/14.28 real_$sum(real_-76/25, real_0) = real_-76/25 & real_$sum(real_76/25, % 53.88/14.28 real_1203/50) = real_271/10 & real_$sum(real_76/25, real_-76/25) = real_0 & % 53.88/14.28 real_$sum(real_76/25, real_0) = real_76/25 & real_$sum(real_413/25, real_0) = % 53.88/14.28 real_413/25 & real_$sum(real_-413/10, real_569/5) = real_145/2 & % 53.88/14.28 real_$sum(real_-413/10, real_0) = real_-413/10 & real_$sum(real_569/5, % 53.88/14.28 real_-413/10) = real_145/2 & real_$sum(real_569/5, real_0) = real_569/5 & % 53.88/14.28 real_$sum(real_145/2, real_0) = real_145/2 & real_$sum(real_-2/5, real_0) = % 53.88/14.28 real_-2/5 & real_$sum(real_0, real_1203/50) = real_1203/50 & real_$sum(real_0, % 53.88/14.28 real_271/10) = real_271/10 & real_$sum(real_0, real_-76/25) = real_-76/25 & % 53.88/14.28 real_$sum(real_0, real_76/25) = real_76/25 & real_$sum(real_0, real_413/25) = % 53.88/14.28 real_413/25 & real_$sum(real_0, real_-413/10) = real_-413/10 & % 53.88/14.28 real_$sum(real_0, real_569/5) = real_569/5 & real_$sum(real_0, real_145/2) = % 53.88/14.28 real_145/2 & real_$sum(real_0, real_-2/5) = real_-2/5 & real_$sum(real_0, % 53.88/14.28 real_0) = real_0 & real_$greatereq(real_very_small, real_very_large) = 1 & % 53.88/14.28 real_$greatereq(real_1203/50, real_1203/50) = 0 & % 53.88/14.28 real_$greatereq(real_1203/50, real_271/10) = 1 & real_$greatereq(real_1203/50, % 53.88/14.28 real_-76/25) = 0 & real_$greatereq(real_1203/50, real_76/25) = 0 & % 53.88/14.28 real_$greatereq(real_1203/50, real_413/25) = 0 & real_$greatereq(real_1203/50, % 53.88/14.28 real_-413/10) = 0 & real_$greatereq(real_1203/50, real_569/5) = 1 & % 53.88/14.28 real_$greatereq(real_1203/50, real_145/2) = 1 & real_$greatereq(real_1203/50, % 53.88/14.28 real_-2/5) = 0 & real_$greatereq(real_1203/50, real_0) = 0 & % 53.88/14.28 real_$greatereq(real_271/10, real_1203/50) = 0 & real_$greatereq(real_271/10, % 53.88/14.28 real_271/10) = 0 & real_$greatereq(real_271/10, real_-76/25) = 0 & % 53.88/14.28 real_$greatereq(real_271/10, real_76/25) = 0 & real_$greatereq(real_271/10, % 53.88/14.28 real_413/25) = 0 & real_$greatereq(real_271/10, real_-413/10) = 0 & % 53.88/14.28 real_$greatereq(real_271/10, real_569/5) = 1 & real_$greatereq(real_271/10, % 53.88/14.28 real_145/2) = 1 & real_$greatereq(real_271/10, real_-2/5) = 0 & % 53.88/14.28 real_$greatereq(real_271/10, real_0) = 0 & real_$greatereq(real_-76/25, % 53.88/14.28 real_1203/50) = 1 & real_$greatereq(real_-76/25, real_271/10) = 1 & % 53.88/14.28 real_$greatereq(real_-76/25, real_-76/25) = 0 & real_$greatereq(real_-76/25, % 53.88/14.28 real_76/25) = 1 & real_$greatereq(real_-76/25, real_413/25) = 1 & % 53.88/14.28 real_$greatereq(real_-76/25, real_-413/10) = 0 & real_$greatereq(real_-76/25, % 53.88/14.28 real_569/5) = 1 & real_$greatereq(real_-76/25, real_145/2) = 1 & % 53.88/14.28 real_$greatereq(real_-76/25, real_-2/5) = 1 & real_$greatereq(real_-76/25, % 53.88/14.28 real_0) = 1 & real_$greatereq(real_76/25, real_1203/50) = 1 & % 53.88/14.28 real_$greatereq(real_76/25, real_271/10) = 1 & real_$greatereq(real_76/25, % 53.88/14.28 real_-76/25) = 0 & real_$greatereq(real_76/25, real_76/25) = 0 & % 53.88/14.28 real_$greatereq(real_76/25, real_413/25) = 1 & real_$greatereq(real_76/25, % 53.88/14.28 real_-413/10) = 0 & real_$greatereq(real_76/25, real_569/5) = 1 & % 53.88/14.28 real_$greatereq(real_76/25, real_145/2) = 1 & real_$greatereq(real_76/25, % 53.88/14.28 real_-2/5) = 0 & real_$greatereq(real_76/25, real_0) = 0 & % 53.88/14.28 real_$greatereq(real_413/25, real_1203/50) = 1 & real_$greatereq(real_413/25, % 53.88/14.28 real_271/10) = 1 & real_$greatereq(real_413/25, real_-76/25) = 0 & % 53.88/14.28 real_$greatereq(real_413/25, real_76/25) = 0 & real_$greatereq(real_413/25, % 53.88/14.28 real_413/25) = 0 & real_$greatereq(real_413/25, real_-413/10) = 0 & % 53.88/14.28 real_$greatereq(real_413/25, real_569/5) = 1 & real_$greatereq(real_413/25, % 53.88/14.28 real_145/2) = 1 & real_$greatereq(real_413/25, real_-2/5) = 0 & % 53.88/14.28 real_$greatereq(real_413/25, real_0) = 0 & real_$greatereq(real_-413/10, % 53.88/14.28 real_1203/50) = 1 & real_$greatereq(real_-413/10, real_271/10) = 1 & % 53.88/14.28 real_$greatereq(real_-413/10, real_-76/25) = 1 & real_$greatereq(real_-413/10, % 53.88/14.28 real_76/25) = 1 & real_$greatereq(real_-413/10, real_413/25) = 1 & % 53.88/14.28 real_$greatereq(real_-413/10, real_-413/10) = 0 & % 53.88/14.28 real_$greatereq(real_-413/10, real_569/5) = 1 & real_$greatereq(real_-413/10, % 53.88/14.28 real_145/2) = 1 & real_$greatereq(real_-413/10, real_-2/5) = 1 & % 53.88/14.28 real_$greatereq(real_-413/10, real_0) = 1 & real_$greatereq(real_569/5, % 53.88/14.28 real_1203/50) = 0 & real_$greatereq(real_569/5, real_271/10) = 0 & % 53.88/14.28 real_$greatereq(real_569/5, real_-76/25) = 0 & real_$greatereq(real_569/5, % 53.88/14.28 real_76/25) = 0 & real_$greatereq(real_569/5, real_413/25) = 0 & % 53.88/14.28 real_$greatereq(real_569/5, real_-413/10) = 0 & real_$greatereq(real_569/5, % 53.88/14.28 real_569/5) = 0 & real_$greatereq(real_569/5, real_145/2) = 0 & % 53.88/14.28 real_$greatereq(real_569/5, real_-2/5) = 0 & real_$greatereq(real_569/5, % 53.88/14.28 real_0) = 0 & real_$greatereq(real_145/2, real_1203/50) = 0 & % 53.88/14.28 real_$greatereq(real_145/2, real_271/10) = 0 & real_$greatereq(real_145/2, % 53.88/14.28 real_-76/25) = 0 & real_$greatereq(real_145/2, real_76/25) = 0 & % 53.88/14.28 real_$greatereq(real_145/2, real_413/25) = 0 & real_$greatereq(real_145/2, % 53.88/14.28 real_-413/10) = 0 & real_$greatereq(real_145/2, real_569/5) = 1 & % 53.88/14.28 real_$greatereq(real_145/2, real_145/2) = 0 & real_$greatereq(real_145/2, % 53.88/14.28 real_-2/5) = 0 & real_$greatereq(real_145/2, real_0) = 0 & % 53.88/14.28 real_$greatereq(real_-2/5, real_1203/50) = 1 & real_$greatereq(real_-2/5, % 53.88/14.28 real_271/10) = 1 & real_$greatereq(real_-2/5, real_-76/25) = 0 & % 53.88/14.28 real_$greatereq(real_-2/5, real_76/25) = 1 & real_$greatereq(real_-2/5, % 53.88/14.28 real_413/25) = 1 & real_$greatereq(real_-2/5, real_-413/10) = 0 & % 53.88/14.28 real_$greatereq(real_-2/5, real_569/5) = 1 & real_$greatereq(real_-2/5, % 53.88/14.28 real_145/2) = 1 & real_$greatereq(real_-2/5, real_-2/5) = 0 & % 53.88/14.28 real_$greatereq(real_-2/5, real_0) = 1 & real_$greatereq(real_0, real_1203/50) % 53.88/14.28 = 1 & real_$greatereq(real_0, real_271/10) = 1 & real_$greatereq(real_0, % 53.88/14.28 real_-76/25) = 0 & real_$greatereq(real_0, real_76/25) = 1 & % 53.88/14.28 real_$greatereq(real_0, real_413/25) = 1 & real_$greatereq(real_0, % 53.88/14.28 real_-413/10) = 0 & real_$greatereq(real_0, real_569/5) = 1 & % 53.88/14.28 real_$greatereq(real_0, real_145/2) = 1 & real_$greatereq(real_0, real_-2/5) = % 53.88/14.28 0 & real_$greatereq(real_0, real_0) = 0 & real_$lesseq(real_very_small, % 53.88/14.28 real_very_large) = 0 & real_$lesseq(real_1203/50, real_1203/50) = 0 & % 53.88/14.28 real_$lesseq(real_1203/50, real_271/10) = 0 & real_$lesseq(real_1203/50, % 53.88/14.28 real_-76/25) = 1 & real_$lesseq(real_1203/50, real_76/25) = 1 & % 53.88/14.28 real_$lesseq(real_1203/50, real_413/25) = 1 & real_$lesseq(real_1203/50, % 53.88/14.28 real_-413/10) = 1 & real_$lesseq(real_1203/50, real_569/5) = 0 & % 53.88/14.28 real_$lesseq(real_1203/50, real_145/2) = 0 & real_$lesseq(real_1203/50, % 53.88/14.28 real_-2/5) = 1 & real_$lesseq(real_1203/50, real_0) = 1 & % 53.88/14.28 real_$lesseq(real_271/10, real_1203/50) = 1 & real_$lesseq(real_271/10, % 53.88/14.28 real_271/10) = 0 & real_$lesseq(real_271/10, real_-76/25) = 1 & % 53.88/14.28 real_$lesseq(real_271/10, real_76/25) = 1 & real_$lesseq(real_271/10, % 53.88/14.28 real_413/25) = 1 & real_$lesseq(real_271/10, real_-413/10) = 1 & % 53.88/14.28 real_$lesseq(real_271/10, real_569/5) = 0 & real_$lesseq(real_271/10, % 53.88/14.28 real_145/2) = 0 & real_$lesseq(real_271/10, real_-2/5) = 1 & % 53.88/14.28 real_$lesseq(real_271/10, real_0) = 1 & real_$lesseq(real_-76/25, % 53.88/14.28 real_1203/50) = 0 & real_$lesseq(real_-76/25, real_271/10) = 0 & % 53.88/14.28 real_$lesseq(real_-76/25, real_-76/25) = 0 & real_$lesseq(real_-76/25, % 53.88/14.28 real_76/25) = 0 & real_$lesseq(real_-76/25, real_413/25) = 0 & % 53.88/14.28 real_$lesseq(real_-76/25, real_-413/10) = 1 & real_$lesseq(real_-76/25, % 53.88/14.28 real_569/5) = 0 & real_$lesseq(real_-76/25, real_145/2) = 0 & % 53.88/14.28 real_$lesseq(real_-76/25, real_-2/5) = 0 & real_$lesseq(real_-76/25, real_0) = % 53.88/14.28 0 & real_$lesseq(real_76/25, real_1203/50) = 0 & real_$lesseq(real_76/25, % 53.88/14.28 real_271/10) = 0 & real_$lesseq(real_76/25, real_-76/25) = 1 & % 53.88/14.28 real_$lesseq(real_76/25, real_76/25) = 0 & real_$lesseq(real_76/25, % 53.88/14.28 real_413/25) = 0 & real_$lesseq(real_76/25, real_-413/10) = 1 & % 53.88/14.28 real_$lesseq(real_76/25, real_569/5) = 0 & real_$lesseq(real_76/25, % 53.88/14.28 real_145/2) = 0 & real_$lesseq(real_76/25, real_-2/5) = 1 & % 53.88/14.28 real_$lesseq(real_76/25, real_0) = 1 & real_$lesseq(real_413/25, real_1203/50) % 53.88/14.28 = 0 & real_$lesseq(real_413/25, real_271/10) = 0 & real_$lesseq(real_413/25, % 53.88/14.28 real_-76/25) = 1 & real_$lesseq(real_413/25, real_76/25) = 1 & % 53.88/14.28 real_$lesseq(real_413/25, real_413/25) = 0 & real_$lesseq(real_413/25, % 53.88/14.28 real_-413/10) = 1 & real_$lesseq(real_413/25, real_569/5) = 0 & % 53.88/14.28 real_$lesseq(real_413/25, real_145/2) = 0 & real_$lesseq(real_413/25, % 53.88/14.28 real_-2/5) = 1 & real_$lesseq(real_413/25, real_0) = 1 & % 53.88/14.28 real_$lesseq(real_-413/10, real_1203/50) = 0 & real_$lesseq(real_-413/10, % 53.88/14.28 real_271/10) = 0 & real_$lesseq(real_-413/10, real_-76/25) = 0 & % 53.88/14.28 real_$lesseq(real_-413/10, real_76/25) = 0 & real_$lesseq(real_-413/10, % 53.88/14.28 real_413/25) = 0 & real_$lesseq(real_-413/10, real_-413/10) = 0 & % 53.88/14.28 real_$lesseq(real_-413/10, real_569/5) = 0 & real_$lesseq(real_-413/10, % 53.88/14.28 real_145/2) = 0 & real_$lesseq(real_-413/10, real_-2/5) = 0 & % 53.88/14.28 real_$lesseq(real_-413/10, real_0) = 0 & real_$lesseq(real_569/5, % 53.88/14.28 real_1203/50) = 1 & real_$lesseq(real_569/5, real_271/10) = 1 & % 53.88/14.28 real_$lesseq(real_569/5, real_-76/25) = 1 & real_$lesseq(real_569/5, % 53.88/14.28 real_76/25) = 1 & real_$lesseq(real_569/5, real_413/25) = 1 & % 53.88/14.28 real_$lesseq(real_569/5, real_-413/10) = 1 & real_$lesseq(real_569/5, % 53.88/14.28 real_569/5) = 0 & real_$lesseq(real_569/5, real_145/2) = 1 & % 53.88/14.28 real_$lesseq(real_569/5, real_-2/5) = 1 & real_$lesseq(real_569/5, real_0) = 1 % 53.88/14.28 & real_$lesseq(real_145/2, real_1203/50) = 1 & real_$lesseq(real_145/2, % 53.88/14.28 real_271/10) = 1 & real_$lesseq(real_145/2, real_-76/25) = 1 & % 53.88/14.28 real_$lesseq(real_145/2, real_76/25) = 1 & real_$lesseq(real_145/2, % 53.88/14.28 real_413/25) = 1 & real_$lesseq(real_145/2, real_-413/10) = 1 & % 53.88/14.28 real_$lesseq(real_145/2, real_569/5) = 0 & real_$lesseq(real_145/2, % 53.88/14.28 real_145/2) = 0 & real_$lesseq(real_145/2, real_-2/5) = 1 & % 53.88/14.28 real_$lesseq(real_145/2, real_0) = 1 & real_$lesseq(real_-2/5, real_1203/50) = % 53.88/14.28 0 & real_$lesseq(real_-2/5, real_271/10) = 0 & real_$lesseq(real_-2/5, % 53.88/14.28 real_-76/25) = 1 & real_$lesseq(real_-2/5, real_76/25) = 0 & % 53.88/14.28 real_$lesseq(real_-2/5, real_413/25) = 0 & real_$lesseq(real_-2/5, % 53.88/14.28 real_-413/10) = 1 & real_$lesseq(real_-2/5, real_569/5) = 0 & % 53.88/14.28 real_$lesseq(real_-2/5, real_145/2) = 0 & real_$lesseq(real_-2/5, real_-2/5) = % 53.88/14.28 0 & real_$lesseq(real_-2/5, real_0) = 0 & real_$lesseq(real_0, real_1203/50) = % 53.88/14.28 0 & real_$lesseq(real_0, real_271/10) = 0 & real_$lesseq(real_0, real_-76/25) % 53.88/14.28 = 1 & real_$lesseq(real_0, real_76/25) = 0 & real_$lesseq(real_0, real_413/25) % 53.88/14.28 = 0 & real_$lesseq(real_0, real_-413/10) = 1 & real_$lesseq(real_0, % 53.88/14.28 real_569/5) = 0 & real_$lesseq(real_0, real_145/2) = 0 & % 53.88/14.28 real_$lesseq(real_0, real_-2/5) = 1 & real_$lesseq(real_0, real_0) = 0 & % 53.88/14.28 real_$greater(real_very_large, real_1203/50) = 0 & % 53.88/14.28 real_$greater(real_very_large, real_271/10) = 0 & % 53.88/14.28 real_$greater(real_very_large, real_-76/25) = 0 & % 53.88/14.28 real_$greater(real_very_large, real_76/25) = 0 & % 53.88/14.28 real_$greater(real_very_large, real_413/25) = 0 & % 53.88/14.28 real_$greater(real_very_large, real_-413/10) = 0 & % 53.88/14.28 real_$greater(real_very_large, real_569/5) = 0 & % 53.88/14.28 real_$greater(real_very_large, real_145/2) = 0 & % 53.88/14.28 real_$greater(real_very_large, real_-2/5) = 0 & real_$greater(real_very_large, % 53.88/14.28 real_0) = 0 & real_$greater(real_very_small, real_very_large) = 1 & % 53.88/14.28 real_$greater(real_1203/50, real_very_small) = 0 & real_$greater(real_1203/50, % 53.88/14.28 real_1203/50) = 1 & real_$greater(real_1203/50, real_271/10) = 1 & % 53.88/14.28 real_$greater(real_1203/50, real_-76/25) = 0 & real_$greater(real_1203/50, % 53.88/14.28 real_76/25) = 0 & real_$greater(real_1203/50, real_413/25) = 0 & % 53.88/14.28 real_$greater(real_1203/50, real_-413/10) = 0 & real_$greater(real_1203/50, % 53.88/14.28 real_569/5) = 1 & real_$greater(real_1203/50, real_145/2) = 1 & % 53.88/14.28 real_$greater(real_1203/50, real_-2/5) = 0 & real_$greater(real_1203/50, % 53.88/14.28 real_0) = 0 & real_$greater(real_271/10, real_very_small) = 0 & % 53.88/14.28 real_$greater(real_271/10, real_1203/50) = 0 & real_$greater(real_271/10, % 53.88/14.28 real_271/10) = 1 & real_$greater(real_271/10, real_-76/25) = 0 & % 53.88/14.28 real_$greater(real_271/10, real_76/25) = 0 & real_$greater(real_271/10, % 53.88/14.28 real_413/25) = 0 & real_$greater(real_271/10, real_-413/10) = 0 & % 53.88/14.28 real_$greater(real_271/10, real_569/5) = 1 & real_$greater(real_271/10, % 53.88/14.28 real_145/2) = 1 & real_$greater(real_271/10, real_-2/5) = 0 & % 53.88/14.28 real_$greater(real_271/10, real_0) = 0 & real_$greater(real_-76/25, % 53.88/14.28 real_very_small) = 0 & real_$greater(real_-76/25, real_1203/50) = 1 & % 53.88/14.28 real_$greater(real_-76/25, real_271/10) = 1 & real_$greater(real_-76/25, % 53.88/14.28 real_-76/25) = 1 & real_$greater(real_-76/25, real_76/25) = 1 & % 53.88/14.28 real_$greater(real_-76/25, real_413/25) = 1 & real_$greater(real_-76/25, % 53.88/14.28 real_-413/10) = 0 & real_$greater(real_-76/25, real_569/5) = 1 & % 53.88/14.28 real_$greater(real_-76/25, real_145/2) = 1 & real_$greater(real_-76/25, % 53.88/14.28 real_-2/5) = 1 & real_$greater(real_-76/25, real_0) = 1 & % 53.88/14.28 real_$greater(real_76/25, real_very_small) = 0 & real_$greater(real_76/25, % 53.88/14.28 real_1203/50) = 1 & real_$greater(real_76/25, real_271/10) = 1 & % 53.88/14.28 real_$greater(real_76/25, real_-76/25) = 0 & real_$greater(real_76/25, % 53.88/14.28 real_76/25) = 1 & real_$greater(real_76/25, real_413/25) = 1 & % 53.88/14.28 real_$greater(real_76/25, real_-413/10) = 0 & real_$greater(real_76/25, % 53.88/14.28 real_569/5) = 1 & real_$greater(real_76/25, real_145/2) = 1 & % 53.88/14.28 real_$greater(real_76/25, real_-2/5) = 0 & real_$greater(real_76/25, real_0) = % 53.88/14.28 0 & real_$greater(real_413/25, real_very_small) = 0 & % 53.88/14.28 real_$greater(real_413/25, real_1203/50) = 1 & real_$greater(real_413/25, % 53.88/14.28 real_271/10) = 1 & real_$greater(real_413/25, real_-76/25) = 0 & % 53.88/14.28 real_$greater(real_413/25, real_76/25) = 0 & real_$greater(real_413/25, % 53.88/14.28 real_413/25) = 1 & real_$greater(real_413/25, real_-413/10) = 0 & % 53.88/14.28 real_$greater(real_413/25, real_569/5) = 1 & real_$greater(real_413/25, % 53.88/14.28 real_145/2) = 1 & real_$greater(real_413/25, real_-2/5) = 0 & % 53.88/14.28 real_$greater(real_413/25, real_0) = 0 & real_$greater(real_-413/10, % 53.88/14.28 real_very_small) = 0 & real_$greater(real_-413/10, real_1203/50) = 1 & % 53.88/14.28 real_$greater(real_-413/10, real_271/10) = 1 & real_$greater(real_-413/10, % 53.88/14.28 real_-76/25) = 1 & real_$greater(real_-413/10, real_76/25) = 1 & % 53.88/14.28 real_$greater(real_-413/10, real_413/25) = 1 & real_$greater(real_-413/10, % 53.88/14.28 real_-413/10) = 1 & real_$greater(real_-413/10, real_569/5) = 1 & % 53.88/14.28 real_$greater(real_-413/10, real_145/2) = 1 & real_$greater(real_-413/10, % 53.88/14.28 real_-2/5) = 1 & real_$greater(real_-413/10, real_0) = 1 & % 53.88/14.28 real_$greater(real_569/5, real_very_small) = 0 & real_$greater(real_569/5, % 53.88/14.28 real_1203/50) = 0 & real_$greater(real_569/5, real_271/10) = 0 & % 53.88/14.28 real_$greater(real_569/5, real_-76/25) = 0 & real_$greater(real_569/5, % 53.88/14.28 real_76/25) = 0 & real_$greater(real_569/5, real_413/25) = 0 & % 53.88/14.28 real_$greater(real_569/5, real_-413/10) = 0 & real_$greater(real_569/5, % 53.88/14.28 real_569/5) = 1 & real_$greater(real_569/5, real_145/2) = 0 & % 53.88/14.28 real_$greater(real_569/5, real_-2/5) = 0 & real_$greater(real_569/5, real_0) = % 53.88/14.28 0 & real_$greater(real_145/2, real_very_small) = 0 & real_$greater(real_145/2, % 53.88/14.28 real_1203/50) = 0 & real_$greater(real_145/2, real_271/10) = 0 & % 53.88/14.28 real_$greater(real_145/2, real_-76/25) = 0 & real_$greater(real_145/2, % 53.88/14.28 real_76/25) = 0 & real_$greater(real_145/2, real_413/25) = 0 & % 53.88/14.28 real_$greater(real_145/2, real_-413/10) = 0 & real_$greater(real_145/2, % 53.88/14.28 real_569/5) = 1 & real_$greater(real_145/2, real_145/2) = 1 & % 53.88/14.28 real_$greater(real_145/2, real_-2/5) = 0 & real_$greater(real_145/2, real_0) = % 53.88/14.28 0 & real_$greater(real_-2/5, real_very_small) = 0 & real_$greater(real_-2/5, % 53.88/14.28 real_1203/50) = 1 & real_$greater(real_-2/5, real_271/10) = 1 & % 53.88/14.28 real_$greater(real_-2/5, real_-76/25) = 0 & real_$greater(real_-2/5, % 53.88/14.28 real_76/25) = 1 & real_$greater(real_-2/5, real_413/25) = 1 & % 53.88/14.28 real_$greater(real_-2/5, real_-413/10) = 0 & real_$greater(real_-2/5, % 53.88/14.28 real_569/5) = 1 & real_$greater(real_-2/5, real_145/2) = 1 & % 53.88/14.28 real_$greater(real_-2/5, real_-2/5) = 1 & real_$greater(real_-2/5, real_0) = 1 % 53.88/14.28 & real_$greater(real_0, real_very_small) = 0 & real_$greater(real_0, % 53.88/14.28 real_1203/50) = 1 & real_$greater(real_0, real_271/10) = 1 & % 53.88/14.28 real_$greater(real_0, real_-76/25) = 0 & real_$greater(real_0, real_76/25) = 1 % 53.88/14.28 & real_$greater(real_0, real_413/25) = 1 & real_$greater(real_0, real_-413/10) % 53.88/14.28 = 0 & real_$greater(real_0, real_569/5) = 1 & real_$greater(real_0, % 53.88/14.28 real_145/2) = 1 & real_$greater(real_0, real_-2/5) = 0 & % 53.88/14.28 real_$greater(real_0, real_0) = 1 & real_$less(real_very_small, % 53.88/14.28 real_very_large) = 0 & real_$less(real_very_small, real_1203/50) = 0 & % 53.88/14.28 real_$less(real_very_small, real_271/10) = 0 & real_$less(real_very_small, % 53.88/14.28 real_-76/25) = 0 & real_$less(real_very_small, real_76/25) = 0 & % 53.88/14.28 real_$less(real_very_small, real_413/25) = 0 & real_$less(real_very_small, % 53.88/14.28 real_-413/10) = 0 & real_$less(real_very_small, real_569/5) = 0 & % 53.88/14.28 real_$less(real_very_small, real_145/2) = 0 & real_$less(real_very_small, % 53.88/14.28 real_-2/5) = 0 & real_$less(real_very_small, real_0) = 0 & % 53.88/14.28 real_$less(real_1203/50, real_very_large) = 0 & real_$less(real_1203/50, % 53.88/14.28 real_1203/50) = 1 & real_$less(real_1203/50, real_271/10) = 0 & % 53.88/14.28 real_$less(real_1203/50, real_-76/25) = 1 & real_$less(real_1203/50, % 53.88/14.28 real_76/25) = 1 & real_$less(real_1203/50, real_413/25) = 1 & % 53.88/14.28 real_$less(real_1203/50, real_-413/10) = 1 & real_$less(real_1203/50, % 53.88/14.28 real_569/5) = 0 & real_$less(real_1203/50, real_145/2) = 0 & % 53.88/14.28 real_$less(real_1203/50, real_-2/5) = 1 & real_$less(real_1203/50, real_0) = 1 % 53.88/14.28 & real_$less(real_271/10, real_very_large) = 0 & real_$less(real_271/10, % 53.88/14.28 real_1203/50) = 1 & real_$less(real_271/10, real_271/10) = 1 & % 53.88/14.28 real_$less(real_271/10, real_-76/25) = 1 & real_$less(real_271/10, real_76/25) % 53.88/14.28 = 1 & real_$less(real_271/10, real_413/25) = 1 & real_$less(real_271/10, % 53.88/14.28 real_-413/10) = 1 & real_$less(real_271/10, real_569/5) = 0 & % 53.88/14.28 real_$less(real_271/10, real_145/2) = 0 & real_$less(real_271/10, real_-2/5) = % 53.88/14.28 1 & real_$less(real_271/10, real_0) = 1 & real_$less(real_-76/25, % 53.88/14.28 real_very_large) = 0 & real_$less(real_-76/25, real_1203/50) = 0 & % 53.88/14.28 real_$less(real_-76/25, real_271/10) = 0 & real_$less(real_-76/25, % 53.88/14.28 real_-76/25) = 1 & real_$less(real_-76/25, real_76/25) = 0 & % 53.88/14.28 real_$less(real_-76/25, real_413/25) = 0 & real_$less(real_-76/25, % 53.88/14.28 real_-413/10) = 1 & real_$less(real_-76/25, real_569/5) = 0 & % 53.88/14.28 real_$less(real_-76/25, real_145/2) = 0 & real_$less(real_-76/25, real_-2/5) = % 53.88/14.28 0 & real_$less(real_-76/25, real_0) = 0 & real_$less(real_76/25, % 53.88/14.28 real_very_large) = 0 & real_$less(real_76/25, real_1203/50) = 0 & % 53.88/14.28 real_$less(real_76/25, real_271/10) = 0 & real_$less(real_76/25, real_-76/25) % 53.88/14.28 = 1 & real_$less(real_76/25, real_76/25) = 1 & real_$less(real_76/25, % 53.88/14.28 real_413/25) = 0 & real_$less(real_76/25, real_-413/10) = 1 & % 53.88/14.28 real_$less(real_76/25, real_569/5) = 0 & real_$less(real_76/25, real_145/2) = % 53.88/14.28 0 & real_$less(real_76/25, real_-2/5) = 1 & real_$less(real_76/25, real_0) = 1 % 53.88/14.28 & real_$less(real_413/25, real_very_large) = 0 & real_$less(real_413/25, % 53.88/14.28 real_1203/50) = 0 & real_$less(real_413/25, real_271/10) = 0 & % 53.88/14.28 real_$less(real_413/25, real_-76/25) = 1 & real_$less(real_413/25, real_76/25) % 53.88/14.28 = 1 & real_$less(real_413/25, real_413/25) = 1 & real_$less(real_413/25, % 53.88/14.28 real_-413/10) = 1 & real_$less(real_413/25, real_569/5) = 0 & % 53.88/14.28 real_$less(real_413/25, real_145/2) = 0 & real_$less(real_413/25, real_-2/5) = % 53.88/14.28 1 & real_$less(real_413/25, real_0) = 1 & real_$less(real_-413/10, % 53.88/14.28 real_very_large) = 0 & real_$less(real_-413/10, real_1203/50) = 0 & % 53.88/14.28 real_$less(real_-413/10, real_271/10) = 0 & real_$less(real_-413/10, % 53.88/14.28 real_-76/25) = 0 & real_$less(real_-413/10, real_76/25) = 0 & % 53.88/14.28 real_$less(real_-413/10, real_413/25) = 0 & real_$less(real_-413/10, % 53.88/14.28 real_-413/10) = 1 & real_$less(real_-413/10, real_569/5) = 0 & % 53.88/14.28 real_$less(real_-413/10, real_145/2) = 0 & real_$less(real_-413/10, real_-2/5) % 53.88/14.28 = 0 & real_$less(real_-413/10, real_0) = 0 & real_$less(real_569/5, % 53.88/14.28 real_very_large) = 0 & real_$less(real_569/5, real_1203/50) = 1 & % 53.88/14.28 real_$less(real_569/5, real_271/10) = 1 & real_$less(real_569/5, real_-76/25) % 53.88/14.28 = 1 & real_$less(real_569/5, real_76/25) = 1 & real_$less(real_569/5, % 53.88/14.28 real_413/25) = 1 & real_$less(real_569/5, real_-413/10) = 1 & % 53.88/14.28 real_$less(real_569/5, real_569/5) = 1 & real_$less(real_569/5, real_145/2) = % 53.88/14.28 1 & real_$less(real_569/5, real_-2/5) = 1 & real_$less(real_569/5, real_0) = 1 % 53.88/14.28 & real_$less(real_145/2, real_very_large) = 0 & real_$less(real_145/2, % 53.88/14.28 real_1203/50) = 1 & real_$less(real_145/2, real_271/10) = 1 & % 53.88/14.28 real_$less(real_145/2, real_-76/25) = 1 & real_$less(real_145/2, real_76/25) = % 53.88/14.28 1 & real_$less(real_145/2, real_413/25) = 1 & real_$less(real_145/2, % 53.88/14.28 real_-413/10) = 1 & real_$less(real_145/2, real_569/5) = 0 & % 53.88/14.28 real_$less(real_145/2, real_145/2) = 1 & real_$less(real_145/2, real_-2/5) = 1 % 53.88/14.28 & real_$less(real_145/2, real_0) = 1 & real_$less(real_-2/5, real_very_large) % 53.88/14.28 = 0 & real_$less(real_-2/5, real_1203/50) = 0 & real_$less(real_-2/5, % 53.88/14.28 real_271/10) = 0 & real_$less(real_-2/5, real_-76/25) = 1 & % 53.88/14.28 real_$less(real_-2/5, real_76/25) = 0 & real_$less(real_-2/5, real_413/25) = 0 % 53.88/14.28 & real_$less(real_-2/5, real_-413/10) = 1 & real_$less(real_-2/5, real_569/5) % 53.88/14.28 = 0 & real_$less(real_-2/5, real_145/2) = 0 & real_$less(real_-2/5, real_-2/5) % 53.88/14.28 = 1 & real_$less(real_-2/5, real_0) = 0 & real_$less(real_0, real_very_large) % 53.88/14.28 = 0 & real_$less(real_0, real_1203/50) = 0 & real_$less(real_0, real_271/10) = % 53.88/14.28 0 & real_$less(real_0, real_-76/25) = 1 & real_$less(real_0, real_76/25) = 0 & % 53.88/14.28 real_$less(real_0, real_413/25) = 0 & real_$less(real_0, real_-413/10) = 1 & % 53.88/14.28 real_$less(real_0, real_569/5) = 0 & real_$less(real_0, real_145/2) = 0 & % 53.88/14.28 real_$less(real_0, real_-2/5) = 1 & real_$less(real_0, real_0) = 1 & ! [v0: % 53.88/14.28 $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : ! [v4: $real] : % 53.88/14.28 ( ~ (real_$sum(v3, v0) = v4) | ~ (real_$sum(v2, v1) = v3) | ? [v5: $real] : % 53.88/14.28 (real_$sum(v2, v5) = v4 & real_$sum(v1, v0) = v5)) & ! [v0: $real] : ! % 53.88/14.28 [v1: $real] : ! [v2: $real] : ! [v3: $real] : ! [v4: $real] : ( ~ % 53.88/14.28 (real_$sum(v2, v3) = v4) | ~ (real_$sum(v1, v0) = v3) | ? [v5: $real] : % 53.88/14.28 (real_$sum(v5, v0) = v4 & real_$sum(v2, v1) = v5)) & ! [v0: $real] : ! % 53.88/14.28 [v1: $real] : ! [v2: $real] : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v2, % 53.88/14.28 v1) = 0) | ~ (real_$lesseq(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) % 53.88/14.28 & real_$lesseq(v1, v0) = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 53.88/14.28 $real] : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v2, v1) = 0) | ~ % 53.88/14.28 (real_$less(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & real_$less(v1, v0) % 53.88/14.28 = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: int] : % 53.88/14.28 (v3 = 0 | ~ (real_$lesseq(v2, v0) = v3) | ~ (real_$lesseq(v1, v0) = 0) | ? % 53.88/14.28 [v4: int] : ( ~ (v4 = 0) & real_$lesseq(v2, v1) = v4)) & ! [v0: $real] : ! % 53.88/14.28 [v1: $real] : ! [v2: $real] : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v1, % 53.88/14.28 v0) = 0) | ~ (real_$less(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & % 53.88/14.28 real_$less(v2, v1) = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 53.88/14.28 $real] : ! [v3: int] : (v3 = 0 | ~ (real_$less(v2, v1) = 0) | ~ % 53.88/14.28 (real_$less(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & real_$lesseq(v1, % 53.88/14.28 v0) = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: % 53.88/14.28 int] : (v3 = 0 | ~ (real_$less(v2, v0) = v3) | ~ (real_$less(v1, v0) = 0) % 53.88/14.28 | ? [v4: int] : ( ~ (v4 = 0) & real_$lesseq(v2, v1) = v4)) & ! [v0: $real] % 53.88/14.28 : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : ( ~ (real_$uminus(v0) = % 53.88/14.28 v2) | ~ (real_$sum(v1, v2) = v3) | real_$difference(v1, v0) = v3) & ! % 53.88/14.28 [v0: $real] : ! [v1: $real] : ! [v2: int] : (v2 = 0 | v1 = v0 | ~ % 53.88/14.28 (real_$less(v1, v0) = v2) | ? [v3: int] : ( ~ (v3 = 0) & real_$lesseq(v1, % 53.88/14.28 v0) = v3)) & ! [v0: $real] : ! [v1: $real] : ! [v2: int] : (v2 = 0 | % 53.88/14.28 ~ (real_$greatereq(v0, v1) = v2) | ? [v3: int] : ( ~ (v3 = 0) & % 53.88/14.28 real_$lesseq(v1, v0) = v3)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 53.88/14.28 int] : (v2 = 0 | ~ (real_$lesseq(v1, v0) = v2) | ? [v3: int] : ( ~ (v3 = % 53.88/14.28 0) & real_$greatereq(v0, v1) = v3)) & ! [v0: $real] : ! [v1: $real] : % 53.88/14.28 ! [v2: int] : (v2 = 0 | ~ (real_$lesseq(v1, v0) = v2) | ? [v3: int] : ( ~ % 53.88/14.28 (v3 = 0) & real_$less(v1, v0) = v3)) & ! [v0: $real] : ! [v1: $real] : % 53.88/14.28 ! [v2: int] : (v2 = 0 | ~ (real_$greater(v0, v1) = v2) | ? [v3: int] : ( ~ % 53.88/14.28 (v3 = 0) & real_$less(v1, v0) = v3)) & ! [v0: $real] : ! [v1: $real] : % 53.88/14.28 ! [v2: int] : (v2 = 0 | ~ (real_$less(v1, v0) = v2) | ? [v3: int] : ( ~ (v3 % 53.88/14.28 = 0) & real_$greater(v0, v1) = v3)) & ! [v0: $real] : ! [v1: $real] : % 53.88/14.28 ! [v2: $real] : (v0 = real_0 | ~ (real_$product(v1, v0) = v2) | % 53.88/14.28 real_$quotient(v2, v0) = v1) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 53.88/14.28 $real] : ( ~ (real_$product(v1, v0) = v2) | real_$product(v0, v1) = v2) & ! % 53.88/14.28 [v0: $real] : ! [v1: $real] : ! [v2: $real] : ( ~ (real_$product(v0, v1) = % 53.88/14.28 v2) | real_$product(v1, v0) = v2) & ! [v0: $real] : ! [v1: $real] : ! % 53.88/14.28 [v2: $real] : ( ~ (real_$difference(v1, v0) = v2) | ? [v3: $real] : % 53.88/14.28 (real_$uminus(v0) = v3 & real_$sum(v1, v3) = v2)) & ! [v0: $real] : ! [v1: % 53.88/14.28 $real] : ! [v2: $real] : ( ~ (real_$sum(v1, v0) = v2) | real_$sum(v0, v1) = % 53.88/14.28 v2) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ( ~ (real_$sum(v0, % 53.88/14.28 v1) = v2) | real_$sum(v1, v0) = v2) & ! [v0: $real] : ! [v1: $real] : % 53.88/14.28 ! [v2: $real] : ( ~ (real_$lesseq(v2, v1) = 0) | ~ (real_$lesseq(v1, v0) = 0) % 53.88/14.28 | real_$lesseq(v2, v0) = 0) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 53.88/14.28 $real] : ( ~ (real_$lesseq(v2, v1) = 0) | ~ (real_$less(v1, v0) = 0) | % 53.88/14.28 real_$less(v2, v0) = 0) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : % 53.88/14.28 ( ~ (real_$lesseq(v1, v0) = 0) | ~ (real_$less(v2, v1) = 0) | real_$less(v2, % 53.88/14.28 v0) = 0) & ! [v0: $real] : ! [v1: $real] : (v1 = v0 | ~ (real_$sum(v0, % 53.88/14.28 real_0) = v1)) & ! [v0: $real] : ! [v1: $real] : (v1 = v0 | ~ % 53.88/14.28 (real_$lesseq(v1, v0) = 0) | real_$less(v1, v0) = 0) & ! [v0: $real] : ! % 53.88/14.28 [v1: int] : (v1 = 0 | ~ (real_$lesseq(v0, v0) = v1)) & ! [v0: $real] : ! % 53.88/14.28 [v1: $real] : ( ~ (real_$uminus(v0) = v1) | real_$uminus(v1) = v0) & ! [v0: % 53.88/14.28 $real] : ! [v1: $real] : ( ~ (real_$uminus(v0) = v1) | real_$sum(v0, v1) = % 53.88/14.28 real_0) & ! [v0: $real] : ! [v1: $real] : ( ~ (real_$greatereq(v0, v1) = % 53.88/14.28 0) | real_$lesseq(v1, v0) = 0) & ! [v0: $real] : ! [v1: $real] : ( ~ % 53.88/14.28 (real_$lesseq(v1, v0) = 0) | real_$greatereq(v0, v1) = 0) & ! [v0: $real] : % 53.88/14.28 ! [v1: $real] : ( ~ (real_$greater(v0, v1) = 0) | real_$less(v1, v0) = 0) & % 53.88/14.28 ! [v0: $real] : ! [v1: $real] : ( ~ (real_$less(v1, v0) = 0) | % 53.88/14.28 real_$lesseq(v1, v0) = 0) & ! [v0: $real] : ! [v1: $real] : ( ~ % 53.88/14.28 (real_$less(v1, v0) = 0) | real_$greater(v0, v1) = 0) & ! [v0: $real] : ! % 53.88/14.28 [v1: MultipleValueBool] : ( ~ (real_$less(v0, v0) = v1) | real_$lesseq(v0, v0) % 53.88/14.28 = 0) & ! [v0: $real] : (v0 = real_0 | ~ (real_$uminus(v0) = v0)) % 53.88/14.28 % 53.88/14.28 (function-axioms) % 53.88/14.29 ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | % 53.88/14.29 ~ (real_$quotient(v3, v2) = v1) | ~ (real_$quotient(v3, v2) = v0)) & ! % 53.88/14.29 [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~ % 53.88/14.29 (real_$product(v3, v2) = v1) | ~ (real_$product(v3, v2) = v0)) & ! [v0: % 53.88/14.29 $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~ % 53.88/14.29 (real_$difference(v3, v2) = v1) | ~ (real_$difference(v3, v2) = v0)) & ! % 53.88/14.29 [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~ % 53.88/14.29 (real_$sum(v3, v2) = v1) | ~ (real_$sum(v3, v2) = v0)) & ! [v0: % 53.88/14.29 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $real] : ! [v3: % 53.88/14.29 $real] : (v1 = v0 | ~ (real_$greatereq(v3, v2) = v1) | ~ % 53.88/14.29 (real_$greatereq(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 53.88/14.29 MultipleValueBool] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~ % 53.88/14.29 (real_$lesseq(v3, v2) = v1) | ~ (real_$lesseq(v3, v2) = v0)) & ! [v0: % 53.88/14.29 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $real] : ! [v3: % 53.88/14.29 $real] : (v1 = v0 | ~ (real_$greater(v3, v2) = v1) | ~ (real_$greater(v3, % 53.88/14.29 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 53.88/14.29 ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~ (real_$less(v3, v2) = v1) | ~ % 53.88/14.29 (real_$less(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 53.88/14.29 MultipleValueBool] : ! [v2: $real] : (v1 = v0 | ~ (real_$is_int(v2) = v1) % 53.88/14.29 | ~ (real_$is_int(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 53.88/14.29 MultipleValueBool] : ! [v2: $real] : (v1 = v0 | ~ (real_$is_rat(v2) = v1) % 53.88/14.29 | ~ (real_$is_rat(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 53.88/14.29 $real] : (v1 = v0 | ~ (real_$floor(v2) = v1) | ~ (real_$floor(v2) = v0)) & % 53.88/14.29 ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~ % 53.88/14.29 (real_$ceiling(v2) = v1) | ~ (real_$ceiling(v2) = v0)) & ! [v0: $real] : % 53.88/14.29 ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~ (real_$truncate(v2) = v1) | ~ % 53.88/14.29 (real_$truncate(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 53.88/14.29 $real] : (v1 = v0 | ~ (real_$round(v2) = v1) | ~ (real_$round(v2) = v0)) & % 53.88/14.29 ! [v0: int] : ! [v1: int] : ! [v2: $real] : (v1 = v0 | ~ (real_$to_int(v2) % 53.88/14.29 = v1) | ~ (real_$to_int(v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : ! % 53.88/14.29 [v2: $real] : (v1 = v0 | ~ (real_$to_rat(v2) = v1) | ~ (real_$to_rat(v2) = % 53.88/14.29 v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~ % 53.88/14.29 (real_$to_real(v2) = v1) | ~ (real_$to_real(v2) = v0)) & ! [v0: $real] : % 53.88/14.29 ! [v1: $real] : ! [v2: int] : (v1 = v0 | ~ (int_$to_real(v2) = v1) | ~ % 53.88/14.29 (int_$to_real(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] % 53.88/14.29 : (v1 = v0 | ~ (real_$uminus(v2) = v1) | ~ (real_$uminus(v2) = v0)) % 53.88/14.29 % 53.88/14.29 Those formulas are unsatisfiable: % 53.88/14.29 --------------------------------- % 53.88/14.29 % 53.88/14.29 Begin of proof % 53.88/14.29 | % 53.88/14.29 | ALPHA: (function-axioms) implies: % 53.88/14.29 | (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 53.88/14.29 | $real] : ! [v3: $real] : (v1 = v0 | ~ (real_$less(v3, v2) = v1) | % 53.88/14.29 | ~ (real_$less(v3, v2) = v0)) % 53.88/14.30 | % 53.88/14.30 | ALPHA: (input) implies: % 53.88/14.30 | (2) real_$less(real_413/25, real_1203/50) = 0 % 53.88/14.30 | % 53.97/14.30 | DELTA: instantiating (real_combined_problem_7) with fresh symbol all_5_0 % 53.97/14.30 | gives: % 53.97/14.30 | (3) ~ (all_5_0 = 0) & real_$less(real_413/25, real_1203/50) = all_5_0 % 53.97/14.30 | % 53.97/14.30 | ALPHA: (3) implies: % 53.97/14.30 | (4) ~ (all_5_0 = 0) % 53.97/14.30 | (5) real_$less(real_413/25, real_1203/50) = all_5_0 % 53.97/14.30 | % 53.97/14.30 | GROUND_INST: instantiating (1) with 0, all_5_0, real_1203/50, real_413/25, % 53.97/14.30 | simplifying with (2), (5) gives: % 53.97/14.30 | (6) all_5_0 = 0 % 53.97/14.30 | % 53.97/14.30 | REDUCE: (4), (6) imply: % 53.97/14.30 | (7) $false % 53.97/14.30 | % 53.97/14.30 | CLOSE: (7) is inconsistent. % 53.97/14.30 | % 53.97/14.30 End of proof % 53.97/14.30 % SZS output end Proof for theBenchmark % 53.97/14.30 % 53.97/14.30 13686ms %------------------------------------------------------------------------------