%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ARI685_1 : TPTP v8.1.2. Released v6.3.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n011.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 17:48:48 EDT 2023 % Result : Theorem 4.66s 1.37s % Output : Proof 5.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ARI685_1 : TPTP v8.1.2. Released v6.3.0. % 0.12/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.35 % Computer : n011.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Tue Aug 29 18:36:56 EDT 2023 % 0.13/0.35 % CPUTime : % 0.21/0.62 ________ _____ % 0.21/0.62 ___ __ \_________(_)________________________________ % 0.21/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.21/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.21/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.21/0.62 % 0.21/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.21/0.62 (2023-06-19) % 0.21/0.62 % 0.21/0.62 (c) Philipp Rümmer, 2009-2023 % 0.21/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.21/0.62 Amanda Stjerna. % 0.21/0.62 Free software under BSD-3-Clause. % 0.21/0.62 % 0.21/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.21/0.62 % 0.21/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.21/0.63 Running up to 7 provers in parallel. % 0.21/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.21/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.21/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.21/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.21/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.21/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.21/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.08/1.03 Prover 3: Preprocessing ... % 2.08/1.03 Prover 2: Preprocessing ... % 2.08/1.03 Prover 0: Preprocessing ... % 2.08/1.03 Prover 1: Preprocessing ... % 2.08/1.03 Prover 4: Preprocessing ... % 2.08/1.03 Prover 5: Preprocessing ... % 2.08/1.03 Prover 6: Preprocessing ... % 2.94/1.11 Prover 0: Constructing countermodel ... % 2.94/1.11 Prover 2: Constructing countermodel ... % 2.94/1.11 Prover 3: Constructing countermodel ... % 2.94/1.11 Prover 6: Constructing countermodel ... % 2.94/1.11 Prover 5: Constructing countermodel ... % 2.94/1.11 Prover 4: Constructing countermodel ... % 2.94/1.11 Prover 1: Constructing countermodel ... % 4.66/1.36 Prover 2: proved (725ms) % 4.66/1.36 Prover 5: proved (722ms) % 4.66/1.37 % 4.66/1.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 4.66/1.37 % 4.66/1.37 % 4.66/1.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 4.66/1.37 % 4.66/1.37 Prover 0: proved (727ms) % 4.66/1.37 % 4.66/1.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 4.66/1.37 % 4.66/1.37 Prover 3: stopped % 4.66/1.38 Prover 6: stopped % 4.66/1.38 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 4.66/1.38 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 4.66/1.38 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 4.66/1.38 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 4.66/1.38 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 4.66/1.39 Prover 7: Preprocessing ... % 4.66/1.39 Prover 8: Preprocessing ... % 4.66/1.40 Prover 4: Found proof (size 17) % 4.66/1.40 Prover 4: proved (760ms) % 4.66/1.40 Prover 1: stopped % 4.66/1.40 Prover 11: Preprocessing ... % 4.66/1.40 Prover 7: Constructing countermodel ... % 4.66/1.41 Prover 7: stopped % 4.66/1.41 Prover 8: Constructing countermodel ... % 4.66/1.41 Prover 8: stopped % 4.66/1.41 Prover 13: Preprocessing ... % 4.66/1.41 Prover 10: Preprocessing ... % 4.66/1.42 Prover 11: Constructing countermodel ... % 4.66/1.42 Prover 11: stopped % 4.66/1.42 Prover 13: Constructing countermodel ... % 4.66/1.42 Prover 13: stopped % 4.66/1.43 Prover 10: Constructing countermodel ... % 4.66/1.43 Prover 10: stopped % 4.66/1.43 % 4.66/1.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 4.66/1.43 % 4.66/1.43 % SZS output start Proof for theBenchmark % 4.66/1.43 Assumptions after simplification: % 4.66/1.43 --------------------------------- % 4.66/1.43 % 4.66/1.43 (conj) % 4.66/1.44 ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: int] : ? [v4: int] : ? % 4.66/1.44 [v5: int] : ? [v6: int] : ? [v7: int] : ? [v8: int] : ? [v9: int] : ? % 4.66/1.44 [v10: int] : ? [v11: int] : ( ~ % 4.66/1.44 ($sum($difference($difference($sum($sum($sum($sum($sum($sum($difference($sum($sum($sum($difference(v11, % 4.66/1.44 v10), v9), $product(2, v8)), v7), v6), v5), % 4.66/1.44 v4), v3), $product(2, v2)), v1), $product(2, v0)), % 4.66/1.44 $product(2, d)), $product(2, c)), b) = 0) & $product(v8, a) = v11 & % 4.66/1.44 $product(v5, a) = v9 & $product(v3, a) = v7 & $product(v0, a) = v1 & % 4.66/1.44 $product(d, c) = v10 & $product(d, b) = v0 & $product(d, a) = v8 & % 4.66/1.44 $product(c, c) = v6 & $product(c, b) = v5 & $product(c, a) = v3 & % 4.66/1.44 $product(b, a) = v4 & $product(a, a) = v2) % 4.66/1.44 % 4.66/1.44 (eq) % 4.66/1.45 ? [v0: int] : ? [v1: int] : ? [v2: int] : ($product(v1, $sum(a, 2)) = v2 & % 4.66/1.45 $product($sum($sum($sum(d, c), b), a), $sum(c, 2)) = $sum($sum(v2, v0), b) & % 4.66/1.45 $product($sum(b, a), $sum($sum(d, c), 1)) = v1 & $product(a, a) = v0) % 4.66/1.45 % 4.66/1.45 Those formulas are unsatisfiable: % 4.66/1.45 --------------------------------- % 4.66/1.45 % 4.66/1.45 Begin of proof % 4.66/1.45 | % 4.66/1.45 | DELTA: instantiating (eq) with fresh symbols all_2_0, all_2_1, all_2_2 gives: % 5.31/1.45 | (1) $product(all_2_1, $sum(a, 2)) = all_2_0 & $product($sum($sum($sum(d, % 5.31/1.45 | c), b), a), $sum(c, 2)) = $sum($sum(all_2_0, all_2_2), b) & % 5.31/1.45 | $product($sum(b, a), $sum($sum(d, c), 1)) = all_2_1 & $product(a, a) = % 5.31/1.45 | all_2_2 % 5.31/1.45 | % 5.31/1.45 | ALPHA: (1) implies: % 5.31/1.45 | (2) $product(a, a) = all_2_2 % 5.31/1.45 | (3) $product($sum(b, a), $sum($sum(d, c), 1)) = all_2_1 % 5.31/1.45 | (4) $product($sum($sum($sum(d, c), b), a), $sum(c, 2)) = $sum($sum(all_2_0, % 5.31/1.45 | all_2_2), b) % 5.31/1.45 | (5) $product(all_2_1, $sum(a, 2)) = all_2_0 % 5.31/1.45 | % 5.31/1.45 | DELTA: instantiating (conj) with fresh symbols all_4_0, all_4_1, all_4_2, % 5.31/1.45 | all_4_3, all_4_4, all_4_5, all_4_6, all_4_7, all_4_8, all_4_9, % 5.31/1.45 | all_4_10, all_4_11 gives: % 5.31/1.46 | (6) ~ % 5.31/1.46 | ($sum($difference($difference($sum($sum($sum($sum($sum($sum($difference($sum($sum($sum($difference(all_4_0, % 5.31/1.46 | all_4_1), all_4_2), $product(2, % 5.31/1.46 | all_4_3)), all_4_4), all_4_5), all_4_6), % 5.31/1.46 | all_4_7), all_4_8), $product(2, all_4_9)), all_4_10), % 5.31/1.46 | $product(2, all_4_11)), $product(2, d)), $product(2, c)), b) % 5.31/1.46 | = 0) & $product(all_4_3, a) = all_4_0 & $product(all_4_6, a) = % 5.31/1.46 | all_4_2 & $product(all_4_8, a) = all_4_4 & $product(all_4_11, a) = % 5.31/1.46 | all_4_10 & $product(d, c) = all_4_1 & $product(d, b) = all_4_11 & % 5.31/1.46 | $product(d, a) = all_4_3 & $product(c, c) = all_4_5 & $product(c, b) = % 5.31/1.46 | all_4_6 & $product(c, a) = all_4_8 & $product(b, a) = all_4_7 & % 5.31/1.46 | $product(a, a) = all_4_9 % 5.31/1.46 | % 5.31/1.46 | ALPHA: (6) implies: % 5.31/1.46 | (7) ~ % 5.31/1.46 | ($sum($difference($difference($sum($sum($sum($sum($sum($sum($difference($sum($sum($sum($difference(all_4_0, % 5.31/1.46 | all_4_1), all_4_2), $product(2, % 5.31/1.46 | all_4_3)), all_4_4), all_4_5), all_4_6), % 5.31/1.46 | all_4_7), all_4_8), $product(2, all_4_9)), all_4_10), % 5.31/1.46 | $product(2, all_4_11)), $product(2, d)), $product(2, c)), b) % 5.31/1.46 | = 0) % 5.31/1.46 | (8) $product(a, a) = all_4_9 % 5.31/1.46 | (9) $product(b, a) = all_4_7 % 5.31/1.46 | (10) $product(c, a) = all_4_8 % 5.31/1.46 | (11) $product(c, b) = all_4_6 % 5.31/1.46 | (12) $product(c, c) = all_4_5 % 5.31/1.46 | (13) $product(d, a) = all_4_3 % 5.31/1.46 | (14) $product(d, b) = all_4_11 % 5.31/1.46 | (15) $product(d, c) = all_4_1 % 5.31/1.46 | (16) $product(all_4_11, a) = all_4_10 % 5.31/1.46 | (17) $product(all_4_8, a) = all_4_4 % 5.31/1.46 | (18) $product(all_4_6, a) = all_4_2 % 5.31/1.46 | (19) $product(all_4_3, a) = all_4_0 % 5.31/1.46 | % 5.31/1.46 | THEORY_AXIOM GroebnerMultiplication: % 5.31/1.47 | (20) ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: % 5.31/1.47 | int] : ! [v5: int] : ! [v6: int] : ! [v7: int] : ! [v8: int] : % 5.31/1.47 | ! [v9: int] : ! [v10: int] : ! [v11: int] : ! [v12: int] : ! [v13: % 5.31/1.47 | int] : ! [v14: int] : ! [v15: int] : ! [v16: int] : ! [v17: int] % 5.31/1.47 | : % 5.31/1.47 | ($difference($difference($sum($sum($sum($sum($sum($difference($sum($sum($sum($difference(v17, % 5.31/1.47 | v16), v15), v14), v13), v12), v10), v8), % 5.31/1.47 | v7), v5), $product(2, v4)), $product(2, v3)), $product(2, % 5.31/1.47 | v2)) = v0 | ~ ($product(v14, v0) = v17) | ~ ($product(v11, v0) % 5.31/1.47 | = v15) | ~ ($product(v9, v0) = v13) | ~ ($product(v7, v0) = v8) % 5.31/1.47 | | ~ ($product(v5, $sum(v0, 2)) = v6) | ~ % 5.31/1.47 | ($product($sum($sum($sum(v3, v2), v1), v0), $sum(v2, 2)) = % 5.31/1.47 | $sum($sum(v6, v4), v1)) | ~ ($product(v3, v2) = v16) | ~ % 5.31/1.47 | ($product(v3, v1) = v7) | ~ ($product(v3, v0) = v14) | ~ % 5.31/1.47 | ($product(v2, v2) = v12) | ~ ($product(v2, v1) = v11) | ~ % 5.31/1.47 | ($product(v2, v0) = v9) | ~ ($product($sum(v1, v0), $sum($sum(v3, % 5.31/1.47 | v2), 1)) = v5) | ~ ($product(v1, v0) = v10) | ~ % 5.31/1.47 | ($product(v0, v0) = v4)) % 5.31/1.47 | % 5.31/1.47 | GROUND_INST: instantiating (20) with a, b, c, d, all_2_2, all_2_1, all_2_0, % 5.31/1.47 | all_4_11, all_4_10, all_4_8, all_4_7, all_4_6, all_4_5, all_4_4, % 5.31/1.47 | all_4_3, all_4_2, all_4_1, all_4_0, simplifying with (2), (3), % 5.31/1.47 | (4), (5), (9), (10), (11), (12), (13), (14), (15), (16), (17), % 5.31/1.47 | (18), (19) gives: % 5.31/1.47 | (21) $difference($difference($sum($sum($sum($sum($sum($difference($sum($sum($sum($difference(all_4_0, % 5.31/1.47 | all_4_1), all_4_2), all_4_3), all_4_4), % 5.31/1.47 | all_4_5), all_4_7), all_4_10), all_4_11), all_2_1), % 5.31/1.47 | $product(2, all_2_2)), $product(2, d)), $product(2, c)) = a % 5.31/1.47 | % 5.31/1.47 | THEORY_AXIOM GroebnerMultiplication: % 5.31/1.47 | (22) ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: % 5.31/1.47 | int] : ! [v5: int] : ! [v6: int] : ! [v7: int] : ! [v8: int] : % 5.31/1.47 | ($sum($sum($difference($sum($sum($sum(v8, v7), v6), v5), v4), v1), v0) % 5.31/1.47 | = 0 | ~ ($product(v3, v1) = v5) | ~ ($product(v3, v0) = v8) | ~ % 5.31/1.47 | ($product(v2, v1) = v7) | ~ ($product(v2, v0) = v6) | ~ % 5.31/1.47 | ($product($sum(v1, v0), $sum($sum(v3, v2), 1)) = v4)) % 5.31/1.47 | % 5.31/1.47 | GROUND_INST: instantiating (22) with a, b, c, d, all_2_1, all_4_11, all_4_8, % 5.31/1.47 | all_4_6, all_4_3, simplifying with (3), (10), (11), (13), (14) % 5.31/1.47 | gives: % 5.31/1.47 | (23) $sum($sum($difference($sum($sum($sum(all_4_3, all_4_6), all_4_8), % 5.31/1.47 | all_4_11), all_2_1), b), a) = 0 % 5.31/1.47 | % 5.31/1.47 | THEORY_AXIOM GroebnerMultiplication: % 5.42/1.48 | (24) ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: % 5.42/1.48 | int] : ! [v5: int] : ! [v6: int] : ! [v7: int] : ! [v8: int] : % 5.42/1.48 | ! [v9: int] : ! [v10: int] : ! [v11: int] : ! [v12: int] : ! [v13: % 5.42/1.48 | int] : ! [v14: int] : ! [v15: int] : % 5.42/1.48 | ($sum($sum($difference($sum($sum($sum($sum(v15, v14), v12), v10), v8), % 5.42/1.48 | v6), $product(2, v5)), v4) = 0 | ~ ($product(v13, v0) = v15) % 5.42/1.48 | | ~ ($product(v11, v0) = v14) | ~ ($product(v9, v0) = v12) | ~ % 5.42/1.48 | ($product(v7, v0) = v8) | ~ ($product(v5, $sum(v0, 2)) = v6) | ~ % 5.42/1.48 | ($product($sum($sum($sum(v3, v2), v1), v0), $sum(v2, 2)) = % 5.42/1.48 | $sum($sum(v6, v4), v1)) | ~ ($product(v3, v1) = v7) | ~ % 5.42/1.48 | ($product(v3, v0) = v13) | ~ ($product(v2, v1) = v11) | ~ % 5.42/1.48 | ($product(v2, v0) = v9) | ~ ($product($sum(v1, v0), $sum($sum(v3, % 5.42/1.48 | v2), 1)) = v5) | ~ ($product(v1, v0) = v10) | ~ % 5.42/1.48 | ($product(v0, v0) = v4)) % 5.42/1.48 | % 5.42/1.48 | GROUND_INST: instantiating (24) with a, b, c, d, all_2_2, all_2_1, all_2_0, % 5.42/1.48 | all_4_11, all_4_10, all_4_8, all_4_7, all_4_6, all_4_4, all_4_3, % 5.42/1.48 | all_4_2, all_4_0, simplifying with (2), (3), (4), (5), (9), (10), % 5.42/1.48 | (11), (13), (14), (16), (17), (18), (19) gives: % 5.42/1.48 | (25) $sum($sum($difference($sum($sum($sum($sum(all_4_0, all_4_2), all_4_4), % 5.42/1.48 | all_4_7), all_4_10), all_2_0), $product(2, all_2_1)), % 5.42/1.48 | all_2_2) = 0 % 5.42/1.48 | % 5.42/1.48 | THEORY_AXIOM GroebnerMultiplication: % 5.42/1.48 | (26) ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | ~ % 5.42/1.48 | ($product(v0, v0) = v2) | ~ ($product(v0, v0) = v1)) % 5.42/1.48 | % 5.42/1.48 | GROUND_INST: instantiating (26) with a, all_2_2, all_4_9, simplifying with % 5.42/1.48 | (2), (8) gives: % 5.42/1.48 | (27) all_4_9 = all_2_2 % 5.42/1.48 | % 5.42/1.48 | COMBINE_EQS: (21), (25) imply: % 5.42/1.48 | (28) $sum($sum($sum($difference($sum($difference($difference($sum($difference(all_4_1, % 5.42/1.48 | all_4_3), all_4_5), all_4_11), all_2_0), all_2_1), % 5.42/1.48 | all_2_2), $product(2, d)), $product(2, c)), a) = 0 % 5.42/1.48 | % 5.42/1.48 | COMBINE_EQS: (23), (28) imply: % 5.42/1.48 | (29) $sum($sum($sum($sum($difference($difference($sum($sum($sum(all_4_1, % 5.42/1.48 | all_4_5), all_4_6), all_4_8), all_2_0), all_2_2), % 5.42/1.48 | $product(2, d)), $product(2, c)), b), $product(2, a)) = 0 % 5.42/1.48 | % 5.42/1.48 | REDUCE: (7), (23), (25), (27), (29) imply: % 5.42/1.48 | (30) $false % 5.42/1.48 | % 5.42/1.48 | CLOSE: (30) is inconsistent. % 5.42/1.48 | % 5.42/1.48 End of proof % 5.42/1.48 % SZS output end Proof for theBenchmark % 5.42/1.48 % 5.42/1.48 864ms %------------------------------------------------------------------------------