%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ARI564_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 : n009.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 17:48:24 EDT 2023 % Result : Theorem 9.72s 2.11s % Output : Proof 36.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : ARI564_1 : TPTP v8.1.2. Released v5.0.0. % 0.07/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.33 % Computer : n009.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Tue Aug 29 18:39:50 EDT 2023 % 0.12/0.33 % CPUTime : % 0.47/0.62 ________ _____ % 0.47/0.62 ___ __ \_________(_)________________________________ % 0.47/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.47/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.47/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.47/0.62 % 0.47/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.47/0.62 (2023-06-19) % 0.47/0.62 % 0.47/0.62 (c) Philipp Rümmer, 2009-2023 % 0.47/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.47/0.62 Amanda Stjerna. % 0.47/0.62 Free software under BSD-3-Clause. % 0.47/0.62 % 0.47/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.47/0.62 % 0.47/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.64/0.64 Running up to 7 provers in parallel. % 0.64/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.64/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.64/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.64/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.64/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.64/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.64/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.76/0.99 Prover 3: Warning: Problem contains reals, using incomplete axiomatisation % 1.76/0.99 Prover 0: Warning: Problem contains reals, using incomplete axiomatisation % 1.76/0.99 Prover 5: Warning: Problem contains reals, using incomplete axiomatisation % 1.76/0.99 Prover 1: Warning: Problem contains reals, using incomplete axiomatisation % 1.76/0.99 Prover 4: Warning: Problem contains reals, using incomplete axiomatisation % 1.76/0.99 Prover 6: Warning: Problem contains reals, using incomplete axiomatisation % 1.76/0.99 Prover 2: Warning: Problem contains reals, using incomplete axiomatisation % 2.29/1.12 Prover 4: Preprocessing ... % 2.29/1.12 Prover 1: Preprocessing ... % 2.89/1.21 Prover 6: Preprocessing ... % 2.89/1.21 Prover 0: Preprocessing ... % 7.84/1.82 Prover 5: Preprocessing ... % 8.74/1.97 Prover 3: Preprocessing ... % 8.74/1.97 Prover 2: Preprocessing ... % 9.58/2.04 Prover 6: Constructing countermodel ... % 9.72/2.08 Prover 1: Constructing countermodel ... % 9.72/2.09 Prover 0: Constructing countermodel ... % 9.72/2.11 Prover 6: proved (1456ms) % 9.72/2.11 % 9.72/2.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 9.72/2.11 % 9.72/2.11 Prover 0: proved (1463ms) % 9.72/2.11 % 9.72/2.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 9.72/2.11 % 10.16/2.13 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 10.16/2.13 Prover 7: Warning: Problem contains reals, using incomplete axiomatisation % 10.16/2.17 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 10.50/2.17 Prover 8: Warning: Problem contains reals, using incomplete axiomatisation % 10.50/2.19 Prover 8: Preprocessing ... % 10.50/2.20 Prover 4: Constructing countermodel ... % 12.72/2.53 Prover 8: Warning: ignoring some quantifiers % 12.72/2.55 Prover 8: Constructing countermodel ... % 13.82/2.64 Prover 7: Preprocessing ... % 14.19/2.64 Prover 4: Found proof (size 7) % 14.19/2.64 Prover 4: proved (1995ms) % 14.19/2.65 Prover 1: stopped % 14.19/2.65 Prover 8: stopped % 22.42/3.85 Prover 2: stopped % 23.45/3.96 Prover 7: stopped % 31.09/5.38 Prover 5: Constructing countermodel ... % 31.09/5.38 Prover 5: stopped % 35.28/7.04 Prover 3: Constructing countermodel ... % 35.28/7.04 Prover 3: stopped % 35.28/7.04 % 35.28/7.04 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 35.28/7.04 % 35.28/7.05 % SZS output start Proof for theBenchmark % 35.28/7.05 Assumptions after simplification: % 35.28/7.05 --------------------------------- % 35.28/7.05 % 35.28/7.05 (real_combined_problem_15) % 35.54/7.09 ? [v0: int] : ( ~ (v0 = 0) & real_$greatereq(real_-729/50, real_-781/50) = % 35.54/7.10 v0) % 35.54/7.10 % 35.54/7.10 (input) % 36.06/7.20 ~ (real_very_large = real_very_small) & ~ (real_very_large = real_-781/50) & % 36.06/7.20 ~ (real_very_large = real_-729/50) & ~ (real_very_large = real_729/50) & ~ % 36.06/7.20 (real_very_large = real_-9/4) & ~ (real_very_large = real_-162/25) & ~ % 36.06/7.20 (real_very_large = real_0) & ~ (real_very_small = real_-781/50) & ~ % 36.06/7.20 (real_very_small = real_-729/50) & ~ (real_very_small = real_729/50) & ~ % 36.06/7.20 (real_very_small = real_-9/4) & ~ (real_very_small = real_-162/25) & ~ % 36.06/7.20 (real_very_small = real_0) & ~ (real_-781/50 = real_-729/50) & ~ % 36.06/7.20 (real_-781/50 = real_729/50) & ~ (real_-781/50 = real_-9/4) & ~ % 36.06/7.20 (real_-781/50 = real_-162/25) & ~ (real_-781/50 = real_0) & ~ (real_-729/50 % 36.06/7.20 = real_729/50) & ~ (real_-729/50 = real_-9/4) & ~ (real_-729/50 = % 36.06/7.20 real_-162/25) & ~ (real_-729/50 = real_0) & ~ (real_729/50 = real_-9/4) & % 36.06/7.20 ~ (real_729/50 = real_-162/25) & ~ (real_729/50 = real_0) & ~ (real_-9/4 = % 36.06/7.20 real_-162/25) & ~ (real_-9/4 = real_0) & ~ (real_-162/25 = real_0) & % 36.06/7.20 real_$is_int(real_-781/50) = 1 & real_$is_int(real_-729/50) = 1 & % 36.06/7.20 real_$is_int(real_729/50) = 1 & real_$is_int(real_-9/4) = 1 & % 36.06/7.20 real_$is_int(real_-162/25) = 1 & real_$is_int(real_0) = 0 & % 36.06/7.20 real_$is_rat(real_-781/50) = 0 & real_$is_rat(real_-729/50) = 0 & % 36.06/7.20 real_$is_rat(real_729/50) = 0 & real_$is_rat(real_-9/4) = 0 & % 36.06/7.20 real_$is_rat(real_-162/25) = 0 & real_$is_rat(real_0) = 0 & % 36.06/7.20 real_$floor(real_0) = real_0 & real_$ceiling(real_0) = real_0 & % 36.06/7.20 real_$truncate(real_0) = real_0 & real_$round(real_0) = real_0 & % 36.06/7.20 real_$to_int(real_-781/50) = -16 & real_$to_int(real_-729/50) = -15 & % 36.06/7.20 real_$to_int(real_729/50) = 14 & real_$to_int(real_-9/4) = -3 & % 36.06/7.20 real_$to_int(real_-162/25) = -7 & real_$to_int(real_0) = 0 & % 36.06/7.20 real_$to_rat(real_-781/50) = rat_-781/50 & real_$to_rat(real_-729/50) = % 36.06/7.20 rat_-729/50 & real_$to_rat(real_729/50) = rat_729/50 & real_$to_rat(real_-9/4) % 36.06/7.20 = rat_-9/4 & real_$to_rat(real_-162/25) = rat_-162/25 & real_$to_rat(real_0) = % 36.06/7.20 rat_0 & real_$to_real(real_-781/50) = real_-781/50 & % 36.06/7.20 real_$to_real(real_-729/50) = real_-729/50 & real_$to_real(real_729/50) = % 36.06/7.20 real_729/50 & real_$to_real(real_-9/4) = real_-9/4 & % 36.06/7.20 real_$to_real(real_-162/25) = real_-162/25 & real_$to_real(real_0) = real_0 & % 36.06/7.20 int_$to_real(0) = real_0 & real_$quotient(real_729/50, real_-9/4) = % 36.06/7.20 real_-162/25 & real_$quotient(real_729/50, real_-162/25) = real_-9/4 & % 36.06/7.20 real_$quotient(real_0, real_-781/50) = real_0 & real_$quotient(real_0, % 36.06/7.20 real_-729/50) = real_0 & real_$quotient(real_0, real_729/50) = real_0 & % 36.06/7.20 real_$quotient(real_0, real_-9/4) = real_0 & real_$quotient(real_0, % 36.06/7.20 real_-162/25) = real_0 & real_$product(real_-781/50, real_0) = real_0 & % 36.06/7.20 real_$product(real_-729/50, real_0) = real_0 & real_$product(real_729/50, % 36.06/7.20 real_0) = real_0 & real_$product(real_-9/4, real_-162/25) = real_729/50 & % 36.06/7.20 real_$product(real_-9/4, real_0) = real_0 & real_$product(real_-162/25, % 36.06/7.21 real_-9/4) = real_729/50 & real_$product(real_-162/25, real_0) = real_0 & % 36.06/7.21 real_$product(real_0, real_-781/50) = real_0 & real_$product(real_0, % 36.06/7.21 real_-729/50) = real_0 & real_$product(real_0, real_729/50) = real_0 & % 36.06/7.21 real_$product(real_0, real_-9/4) = real_0 & real_$product(real_0, % 36.06/7.21 real_-162/25) = real_0 & real_$product(real_0, real_0) = real_0 & % 36.06/7.21 real_$difference(real_-781/50, real_-781/50) = real_0 & % 36.06/7.21 real_$difference(real_-781/50, real_0) = real_-781/50 & % 36.06/7.21 real_$difference(real_-729/50, real_-729/50) = real_0 & % 36.06/7.21 real_$difference(real_-729/50, real_0) = real_-729/50 & % 36.06/7.21 real_$difference(real_729/50, real_729/50) = real_0 & % 36.06/7.21 real_$difference(real_729/50, real_0) = real_729/50 & % 36.06/7.21 real_$difference(real_-9/4, real_-9/4) = real_0 & real_$difference(real_-9/4, % 36.06/7.21 real_0) = real_-9/4 & real_$difference(real_-162/25, real_-162/25) = real_0 % 36.06/7.21 & real_$difference(real_-162/25, real_0) = real_-162/25 & % 36.06/7.21 real_$difference(real_0, real_-729/50) = real_729/50 & % 36.06/7.21 real_$difference(real_0, real_729/50) = real_-729/50 & % 36.06/7.21 real_$difference(real_0, real_0) = real_0 & real_$uminus(real_-729/50) = % 36.06/7.21 real_729/50 & real_$uminus(real_729/50) = real_-729/50 & real_$uminus(real_0) % 36.06/7.21 = real_0 & real_$sum(real_-781/50, real_0) = real_-781/50 & % 36.06/7.21 real_$sum(real_-729/50, real_729/50) = real_0 & real_$sum(real_-729/50, % 36.06/7.21 real_0) = real_-729/50 & real_$sum(real_729/50, real_-729/50) = real_0 & % 36.06/7.21 real_$sum(real_729/50, real_0) = real_729/50 & real_$sum(real_-9/4, real_0) = % 36.06/7.21 real_-9/4 & real_$sum(real_-162/25, real_0) = real_-162/25 & real_$sum(real_0, % 36.06/7.21 real_-781/50) = real_-781/50 & real_$sum(real_0, real_-729/50) = % 36.06/7.21 real_-729/50 & real_$sum(real_0, real_729/50) = real_729/50 & % 36.06/7.21 real_$sum(real_0, real_-9/4) = real_-9/4 & real_$sum(real_0, real_-162/25) = % 36.06/7.21 real_-162/25 & real_$sum(real_0, real_0) = real_0 & % 36.06/7.21 real_$lesseq(real_very_small, real_very_large) = 0 & % 36.06/7.21 real_$lesseq(real_-781/50, real_-781/50) = 0 & real_$lesseq(real_-781/50, % 36.06/7.21 real_-729/50) = 0 & real_$lesseq(real_-781/50, real_729/50) = 0 & % 36.06/7.21 real_$lesseq(real_-781/50, real_-9/4) = 0 & real_$lesseq(real_-781/50, % 36.06/7.21 real_-162/25) = 0 & real_$lesseq(real_-781/50, real_0) = 0 & % 36.06/7.21 real_$lesseq(real_-729/50, real_-781/50) = 1 & real_$lesseq(real_-729/50, % 36.06/7.21 real_-729/50) = 0 & real_$lesseq(real_-729/50, real_729/50) = 0 & % 36.06/7.21 real_$lesseq(real_-729/50, real_-9/4) = 0 & real_$lesseq(real_-729/50, % 36.06/7.21 real_-162/25) = 0 & real_$lesseq(real_-729/50, real_0) = 0 & % 36.06/7.21 real_$lesseq(real_729/50, real_-781/50) = 1 & real_$lesseq(real_729/50, % 36.06/7.21 real_-729/50) = 1 & real_$lesseq(real_729/50, real_729/50) = 0 & % 36.06/7.21 real_$lesseq(real_729/50, real_-9/4) = 1 & real_$lesseq(real_729/50, % 36.06/7.21 real_-162/25) = 1 & real_$lesseq(real_729/50, real_0) = 1 & % 36.06/7.21 real_$lesseq(real_-9/4, real_-781/50) = 1 & real_$lesseq(real_-9/4, % 36.06/7.21 real_-729/50) = 1 & real_$lesseq(real_-9/4, real_729/50) = 0 & % 36.06/7.21 real_$lesseq(real_-9/4, real_-9/4) = 0 & real_$lesseq(real_-9/4, real_-162/25) % 36.06/7.21 = 1 & real_$lesseq(real_-9/4, real_0) = 0 & real_$lesseq(real_-162/25, % 36.06/7.21 real_-781/50) = 1 & real_$lesseq(real_-162/25, real_-729/50) = 1 & % 36.06/7.21 real_$lesseq(real_-162/25, real_729/50) = 0 & real_$lesseq(real_-162/25, % 36.06/7.21 real_-9/4) = 0 & real_$lesseq(real_-162/25, real_-162/25) = 0 & % 36.06/7.21 real_$lesseq(real_-162/25, real_0) = 0 & real_$lesseq(real_0, real_-781/50) = % 36.06/7.21 1 & real_$lesseq(real_0, real_-729/50) = 1 & real_$lesseq(real_0, real_729/50) % 36.06/7.21 = 0 & real_$lesseq(real_0, real_-9/4) = 1 & real_$lesseq(real_0, real_-162/25) % 36.06/7.21 = 1 & real_$lesseq(real_0, real_0) = 0 & real_$greater(real_very_large, % 36.06/7.21 real_-781/50) = 0 & real_$greater(real_very_large, real_-729/50) = 0 & % 36.06/7.21 real_$greater(real_very_large, real_729/50) = 0 & % 36.06/7.21 real_$greater(real_very_large, real_-9/4) = 0 & real_$greater(real_very_large, % 36.06/7.21 real_-162/25) = 0 & real_$greater(real_very_large, real_0) = 0 & % 36.06/7.21 real_$greater(real_very_small, real_very_large) = 1 & % 36.06/7.21 real_$greater(real_-781/50, real_very_small) = 0 & real_$greater(real_-781/50, % 36.06/7.21 real_-781/50) = 1 & real_$greater(real_-781/50, real_-729/50) = 1 & % 36.06/7.22 real_$greater(real_-781/50, real_729/50) = 1 & real_$greater(real_-781/50, % 36.06/7.22 real_-9/4) = 1 & real_$greater(real_-781/50, real_-162/25) = 1 & % 36.06/7.22 real_$greater(real_-781/50, real_0) = 1 & real_$greater(real_-729/50, % 36.06/7.22 real_very_small) = 0 & real_$greater(real_-729/50, real_-781/50) = 0 & % 36.06/7.22 real_$greater(real_-729/50, real_-729/50) = 1 & real_$greater(real_-729/50, % 36.06/7.22 real_729/50) = 1 & real_$greater(real_-729/50, real_-9/4) = 1 & % 36.06/7.22 real_$greater(real_-729/50, real_-162/25) = 1 & real_$greater(real_-729/50, % 36.06/7.22 real_0) = 1 & real_$greater(real_729/50, real_very_small) = 0 & % 36.06/7.22 real_$greater(real_729/50, real_-781/50) = 0 & real_$greater(real_729/50, % 36.06/7.22 real_-729/50) = 0 & real_$greater(real_729/50, real_729/50) = 1 & % 36.06/7.22 real_$greater(real_729/50, real_-9/4) = 0 & real_$greater(real_729/50, % 36.06/7.22 real_-162/25) = 0 & real_$greater(real_729/50, real_0) = 0 & % 36.06/7.22 real_$greater(real_-9/4, real_very_small) = 0 & real_$greater(real_-9/4, % 36.06/7.22 real_-781/50) = 0 & real_$greater(real_-9/4, real_-729/50) = 0 & % 36.06/7.22 real_$greater(real_-9/4, real_729/50) = 1 & real_$greater(real_-9/4, % 36.06/7.22 real_-9/4) = 1 & real_$greater(real_-9/4, real_-162/25) = 0 & % 36.06/7.22 real_$greater(real_-9/4, real_0) = 1 & real_$greater(real_-162/25, % 36.06/7.22 real_very_small) = 0 & real_$greater(real_-162/25, real_-781/50) = 0 & % 36.06/7.22 real_$greater(real_-162/25, real_-729/50) = 0 & real_$greater(real_-162/25, % 36.06/7.22 real_729/50) = 1 & real_$greater(real_-162/25, real_-9/4) = 1 & % 36.06/7.22 real_$greater(real_-162/25, real_-162/25) = 1 & real_$greater(real_-162/25, % 36.06/7.22 real_0) = 1 & real_$greater(real_0, real_very_small) = 0 & % 36.06/7.22 real_$greater(real_0, real_-781/50) = 0 & real_$greater(real_0, real_-729/50) % 36.06/7.22 = 0 & real_$greater(real_0, real_729/50) = 1 & real_$greater(real_0, % 36.06/7.22 real_-9/4) = 0 & real_$greater(real_0, real_-162/25) = 0 & % 36.06/7.22 real_$greater(real_0, real_0) = 1 & real_$less(real_very_small, % 36.06/7.22 real_very_large) = 0 & real_$less(real_very_small, real_-781/50) = 0 & % 36.06/7.22 real_$less(real_very_small, real_-729/50) = 0 & real_$less(real_very_small, % 36.06/7.22 real_729/50) = 0 & real_$less(real_very_small, real_-9/4) = 0 & % 36.06/7.22 real_$less(real_very_small, real_-162/25) = 0 & real_$less(real_very_small, % 36.06/7.22 real_0) = 0 & real_$less(real_-781/50, real_very_large) = 0 & % 36.06/7.22 real_$less(real_-781/50, real_-781/50) = 1 & real_$less(real_-781/50, % 36.06/7.22 real_-729/50) = 0 & real_$less(real_-781/50, real_729/50) = 0 & % 36.06/7.22 real_$less(real_-781/50, real_-9/4) = 0 & real_$less(real_-781/50, % 36.06/7.22 real_-162/25) = 0 & real_$less(real_-781/50, real_0) = 0 & % 36.06/7.22 real_$less(real_-729/50, real_very_large) = 0 & real_$less(real_-729/50, % 36.06/7.22 real_-781/50) = 1 & real_$less(real_-729/50, real_-729/50) = 1 & % 36.06/7.22 real_$less(real_-729/50, real_729/50) = 0 & real_$less(real_-729/50, % 36.06/7.22 real_-9/4) = 0 & real_$less(real_-729/50, real_-162/25) = 0 & % 36.06/7.22 real_$less(real_-729/50, real_0) = 0 & real_$less(real_729/50, % 36.06/7.22 real_very_large) = 0 & real_$less(real_729/50, real_-781/50) = 1 & % 36.06/7.22 real_$less(real_729/50, real_-729/50) = 1 & real_$less(real_729/50, % 36.06/7.22 real_729/50) = 1 & real_$less(real_729/50, real_-9/4) = 1 & % 36.06/7.22 real_$less(real_729/50, real_-162/25) = 1 & real_$less(real_729/50, real_0) = % 36.06/7.22 1 & real_$less(real_-9/4, real_very_large) = 0 & real_$less(real_-9/4, % 36.06/7.22 real_-781/50) = 1 & real_$less(real_-9/4, real_-729/50) = 1 & % 36.06/7.23 real_$less(real_-9/4, real_729/50) = 0 & real_$less(real_-9/4, real_-9/4) = 1 % 36.06/7.23 & real_$less(real_-9/4, real_-162/25) = 1 & real_$less(real_-9/4, real_0) = 0 % 36.06/7.23 & real_$less(real_-162/25, real_very_large) = 0 & real_$less(real_-162/25, % 36.06/7.23 real_-781/50) = 1 & real_$less(real_-162/25, real_-729/50) = 1 & % 36.06/7.23 real_$less(real_-162/25, real_729/50) = 0 & real_$less(real_-162/25, % 36.06/7.23 real_-9/4) = 0 & real_$less(real_-162/25, real_-162/25) = 1 & % 36.06/7.23 real_$less(real_-162/25, real_0) = 0 & real_$less(real_0, real_very_large) = 0 % 36.06/7.23 & real_$less(real_0, real_-781/50) = 1 & real_$less(real_0, real_-729/50) = 1 % 36.06/7.23 & real_$less(real_0, real_729/50) = 0 & real_$less(real_0, real_-9/4) = 1 & % 36.06/7.23 real_$less(real_0, real_-162/25) = 1 & real_$less(real_0, real_0) = 1 & % 36.06/7.23 real_$greatereq(real_very_small, real_very_large) = 1 & % 36.06/7.23 real_$greatereq(real_-781/50, real_-781/50) = 0 & % 36.06/7.23 real_$greatereq(real_-781/50, real_-729/50) = 1 & % 36.06/7.23 real_$greatereq(real_-781/50, real_729/50) = 1 & real_$greatereq(real_-781/50, % 36.06/7.23 real_-9/4) = 1 & real_$greatereq(real_-781/50, real_-162/25) = 1 & % 36.06/7.23 real_$greatereq(real_-781/50, real_0) = 1 & real_$greatereq(real_-729/50, % 36.06/7.23 real_-781/50) = 0 & real_$greatereq(real_-729/50, real_-729/50) = 0 & % 36.06/7.23 real_$greatereq(real_-729/50, real_729/50) = 1 & real_$greatereq(real_-729/50, % 36.06/7.23 real_-9/4) = 1 & real_$greatereq(real_-729/50, real_-162/25) = 1 & % 36.06/7.23 real_$greatereq(real_-729/50, real_0) = 1 & real_$greatereq(real_729/50, % 36.06/7.23 real_-781/50) = 0 & real_$greatereq(real_729/50, real_-729/50) = 0 & % 36.06/7.23 real_$greatereq(real_729/50, real_729/50) = 0 & real_$greatereq(real_729/50, % 36.06/7.23 real_-9/4) = 0 & real_$greatereq(real_729/50, real_-162/25) = 0 & % 36.06/7.23 real_$greatereq(real_729/50, real_0) = 0 & real_$greatereq(real_-9/4, % 36.06/7.23 real_-781/50) = 0 & real_$greatereq(real_-9/4, real_-729/50) = 0 & % 36.06/7.23 real_$greatereq(real_-9/4, real_729/50) = 1 & real_$greatereq(real_-9/4, % 36.06/7.23 real_-9/4) = 0 & real_$greatereq(real_-9/4, real_-162/25) = 0 & % 36.06/7.23 real_$greatereq(real_-9/4, real_0) = 1 & real_$greatereq(real_-162/25, % 36.06/7.23 real_-781/50) = 0 & real_$greatereq(real_-162/25, real_-729/50) = 0 & % 36.06/7.23 real_$greatereq(real_-162/25, real_729/50) = 1 & real_$greatereq(real_-162/25, % 36.06/7.23 real_-9/4) = 1 & real_$greatereq(real_-162/25, real_-162/25) = 0 & % 36.06/7.23 real_$greatereq(real_-162/25, real_0) = 1 & real_$greatereq(real_0, % 36.06/7.23 real_-781/50) = 0 & real_$greatereq(real_0, real_-729/50) = 0 & % 36.06/7.23 real_$greatereq(real_0, real_729/50) = 1 & real_$greatereq(real_0, real_-9/4) % 36.06/7.23 = 0 & real_$greatereq(real_0, real_-162/25) = 0 & real_$greatereq(real_0, % 36.06/7.23 real_0) = 0 & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: % 36.06/7.23 $real] : ! [v4: $real] : ( ~ (real_$sum(v3, v0) = v4) | ~ (real_$sum(v2, % 36.06/7.23 v1) = v3) | ? [v5: $real] : (real_$sum(v2, v5) = v4 & real_$sum(v1, v0) % 36.06/7.23 = v5)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] % 36.06/7.23 : ! [v4: $real] : ( ~ (real_$sum(v2, v3) = v4) | ~ (real_$sum(v1, v0) = v3) % 36.06/7.23 | ? [v5: $real] : (real_$sum(v5, v0) = v4 & real_$sum(v2, v1) = v5)) & ! % 36.06/7.23 [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: int] : (v3 = 0 | ~ % 36.06/7.23 (real_$lesseq(v2, v1) = 0) | ~ (real_$lesseq(v2, v0) = v3) | ? [v4: int] : % 36.06/7.23 ( ~ (v4 = 0) & real_$lesseq(v1, v0) = v4)) & ! [v0: $real] : ! [v1: $real] % 36.06/7.23 : ! [v2: $real] : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v2, v1) = 0) | ~ % 36.06/7.23 (real_$less(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & real_$less(v1, v0) % 36.06/7.23 = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: int] : % 36.06/7.23 (v3 = 0 | ~ (real_$lesseq(v2, v0) = v3) | ~ (real_$lesseq(v1, v0) = 0) | ? % 36.06/7.23 [v4: int] : ( ~ (v4 = 0) & real_$lesseq(v2, v1) = v4)) & ! [v0: $real] : ! % 36.06/7.23 [v1: $real] : ! [v2: $real] : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v1, % 36.06/7.23 v0) = 0) | ~ (real_$less(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & % 36.06/7.23 real_$less(v2, v1) = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 36.06/7.23 $real] : ! [v3: int] : (v3 = 0 | ~ (real_$less(v2, v1) = 0) | ~ % 36.06/7.23 (real_$less(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & real_$lesseq(v1, % 36.06/7.23 v0) = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: % 36.06/7.23 int] : (v3 = 0 | ~ (real_$less(v2, v0) = v3) | ~ (real_$less(v1, v0) = 0) % 36.06/7.23 | ? [v4: int] : ( ~ (v4 = 0) & real_$lesseq(v2, v1) = v4)) & ! [v0: $real] % 36.06/7.23 : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : ( ~ (real_$uminus(v0) = % 36.06/7.23 v2) | ~ (real_$sum(v1, v2) = v3) | real_$difference(v1, v0) = v3) & ! % 36.06/7.23 [v0: $real] : ! [v1: $real] : ! [v2: int] : (v2 = 0 | v1 = v0 | ~ % 36.06/7.23 (real_$less(v1, v0) = v2) | ? [v3: int] : ( ~ (v3 = 0) & real_$lesseq(v1, % 36.06/7.23 v0) = v3)) & ! [v0: $real] : ! [v1: $real] : ! [v2: int] : (v2 = 0 | % 36.06/7.23 ~ (real_$lesseq(v1, v0) = v2) | ? [v3: int] : ( ~ (v3 = 0) & real_$less(v1, % 36.06/7.23 v0) = v3)) & ! [v0: $real] : ! [v1: $real] : ! [v2: int] : (v2 = 0 | % 36.06/7.23 ~ (real_$lesseq(v1, v0) = v2) | ? [v3: int] : ( ~ (v3 = 0) & % 36.06/7.23 real_$greatereq(v0, v1) = v3)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 36.06/7.23 int] : (v2 = 0 | ~ (real_$greater(v0, v1) = v2) | ? [v3: int] : ( ~ (v3 = % 36.06/7.23 0) & real_$less(v1, v0) = v3)) & ! [v0: $real] : ! [v1: $real] : ! % 36.06/7.23 [v2: int] : (v2 = 0 | ~ (real_$less(v1, v0) = v2) | ? [v3: int] : ( ~ (v3 = % 36.06/7.23 0) & real_$greater(v0, v1) = v3)) & ! [v0: $real] : ! [v1: $real] : ! % 36.06/7.23 [v2: int] : (v2 = 0 | ~ (real_$greatereq(v0, v1) = v2) | ? [v3: int] : ( ~ % 36.06/7.23 (v3 = 0) & real_$lesseq(v1, v0) = v3)) & ! [v0: $real] : ! [v1: $real] : % 36.06/7.23 ! [v2: $real] : (v0 = real_0 | ~ (real_$product(v1, v0) = v2) | % 36.06/7.23 real_$quotient(v2, v0) = v1) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 36.06/7.23 $real] : ( ~ (real_$product(v1, v0) = v2) | real_$product(v0, v1) = v2) & ! % 36.06/7.24 [v0: $real] : ! [v1: $real] : ! [v2: $real] : ( ~ (real_$product(v0, v1) = % 36.06/7.24 v2) | real_$product(v1, v0) = v2) & ! [v0: $real] : ! [v1: $real] : ! % 36.27/7.24 [v2: $real] : ( ~ (real_$difference(v1, v0) = v2) | ? [v3: $real] : % 36.27/7.24 (real_$uminus(v0) = v3 & real_$sum(v1, v3) = v2)) & ! [v0: $real] : ! [v1: % 36.27/7.24 $real] : ! [v2: $real] : ( ~ (real_$sum(v1, v0) = v2) | real_$sum(v0, v1) = % 36.27/7.24 v2) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ( ~ (real_$sum(v0, % 36.27/7.24 v1) = v2) | real_$sum(v1, v0) = v2) & ! [v0: $real] : ! [v1: $real] : % 36.27/7.24 ! [v2: $real] : ( ~ (real_$lesseq(v2, v1) = 0) | ~ (real_$lesseq(v1, v0) = 0) % 36.27/7.24 | real_$lesseq(v2, v0) = 0) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 36.27/7.24 $real] : ( ~ (real_$lesseq(v2, v1) = 0) | ~ (real_$less(v1, v0) = 0) | % 36.27/7.24 real_$less(v2, v0) = 0) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : % 36.27/7.24 ( ~ (real_$lesseq(v1, v0) = 0) | ~ (real_$less(v2, v1) = 0) | real_$less(v2, % 36.27/7.24 v0) = 0) & ! [v0: $real] : ! [v1: $real] : (v1 = v0 | ~ (real_$sum(v0, % 36.27/7.24 real_0) = v1)) & ! [v0: $real] : ! [v1: $real] : (v1 = v0 | ~ % 36.27/7.24 (real_$lesseq(v1, v0) = 0) | real_$less(v1, v0) = 0) & ! [v0: $real] : ! % 36.27/7.24 [v1: int] : (v1 = 0 | ~ (real_$lesseq(v0, v0) = v1)) & ! [v0: $real] : ! % 36.27/7.24 [v1: $real] : ( ~ (real_$uminus(v0) = v1) | real_$uminus(v1) = v0) & ! [v0: % 36.27/7.24 $real] : ! [v1: $real] : ( ~ (real_$uminus(v0) = v1) | real_$sum(v0, v1) = % 36.27/7.24 real_0) & ! [v0: $real] : ! [v1: $real] : ( ~ (real_$lesseq(v1, v0) = 0) | % 36.27/7.24 real_$greatereq(v0, v1) = 0) & ! [v0: $real] : ! [v1: $real] : ( ~ % 36.27/7.24 (real_$greater(v0, v1) = 0) | real_$less(v1, v0) = 0) & ! [v0: $real] : ! % 36.27/7.24 [v1: $real] : ( ~ (real_$less(v1, v0) = 0) | real_$lesseq(v1, v0) = 0) & ! % 36.27/7.24 [v0: $real] : ! [v1: $real] : ( ~ (real_$less(v1, v0) = 0) | % 36.27/7.24 real_$greater(v0, v1) = 0) & ! [v0: $real] : ! [v1: MultipleValueBool] : ( % 36.27/7.24 ~ (real_$less(v0, v0) = v1) | real_$lesseq(v0, v0) = 0) & ! [v0: $real] : % 36.27/7.24 ! [v1: $real] : ( ~ (real_$greatereq(v0, v1) = 0) | real_$lesseq(v1, v0) = 0) % 36.27/7.24 & ! [v0: $real] : (v0 = real_0 | ~ (real_$uminus(v0) = v0)) % 36.27/7.24 % 36.27/7.25 (function-axioms) % 36.36/7.26 ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | % 36.36/7.26 ~ (real_$quotient(v3, v2) = v1) | ~ (real_$quotient(v3, v2) = v0)) & ! % 36.36/7.26 [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~ % 36.36/7.26 (real_$product(v3, v2) = v1) | ~ (real_$product(v3, v2) = v0)) & ! [v0: % 36.36/7.26 $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~ % 36.36/7.26 (real_$difference(v3, v2) = v1) | ~ (real_$difference(v3, v2) = v0)) & ! % 36.36/7.26 [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~ % 36.36/7.26 (real_$sum(v3, v2) = v1) | ~ (real_$sum(v3, v2) = v0)) & ! [v0: % 36.36/7.26 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $real] : ! [v3: % 36.36/7.26 $real] : (v1 = v0 | ~ (real_$lesseq(v3, v2) = v1) | ~ (real_$lesseq(v3, % 36.36/7.26 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 36.36/7.26 ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~ (real_$greater(v3, v2) = v1) | % 36.36/7.26 ~ (real_$greater(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 36.36/7.26 MultipleValueBool] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~ % 36.36/7.26 (real_$less(v3, v2) = v1) | ~ (real_$less(v3, v2) = v0)) & ! [v0: % 36.36/7.26 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $real] : ! [v3: % 36.36/7.26 $real] : (v1 = v0 | ~ (real_$greatereq(v3, v2) = v1) | ~ % 36.36/7.26 (real_$greatereq(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 36.36/7.26 MultipleValueBool] : ! [v2: $real] : (v1 = v0 | ~ (real_$is_int(v2) = v1) % 36.36/7.26 | ~ (real_$is_int(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 36.36/7.26 MultipleValueBool] : ! [v2: $real] : (v1 = v0 | ~ (real_$is_rat(v2) = v1) % 36.36/7.26 | ~ (real_$is_rat(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 36.36/7.26 $real] : (v1 = v0 | ~ (real_$floor(v2) = v1) | ~ (real_$floor(v2) = v0)) & % 36.36/7.27 ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~ % 36.36/7.27 (real_$ceiling(v2) = v1) | ~ (real_$ceiling(v2) = v0)) & ! [v0: $real] : % 36.36/7.27 ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~ (real_$truncate(v2) = v1) | ~ % 36.36/7.27 (real_$truncate(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 36.36/7.27 $real] : (v1 = v0 | ~ (real_$round(v2) = v1) | ~ (real_$round(v2) = v0)) & % 36.36/7.27 ! [v0: int] : ! [v1: int] : ! [v2: $real] : (v1 = v0 | ~ (real_$to_int(v2) % 36.36/7.27 = v1) | ~ (real_$to_int(v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : ! % 36.36/7.27 [v2: $real] : (v1 = v0 | ~ (real_$to_rat(v2) = v1) | ~ (real_$to_rat(v2) = % 36.36/7.27 v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~ % 36.36/7.27 (real_$to_real(v2) = v1) | ~ (real_$to_real(v2) = v0)) & ! [v0: $real] : % 36.36/7.27 ! [v1: $real] : ! [v2: int] : (v1 = v0 | ~ (int_$to_real(v2) = v1) | ~ % 36.36/7.27 (int_$to_real(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] % 36.36/7.27 : (v1 = v0 | ~ (real_$uminus(v2) = v1) | ~ (real_$uminus(v2) = v0)) % 36.36/7.27 % 36.36/7.27 Those formulas are unsatisfiable: % 36.36/7.27 --------------------------------- % 36.36/7.27 % 36.36/7.27 Begin of proof % 36.36/7.27 | % 36.36/7.27 | ALPHA: (function-axioms) implies: % 36.36/7.27 | (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 36.36/7.27 | $real] : ! [v3: $real] : (v1 = v0 | ~ (real_$greatereq(v3, v2) = % 36.36/7.27 | v1) | ~ (real_$greatereq(v3, v2) = v0)) % 36.36/7.27 | % 36.36/7.27 | ALPHA: (input) implies: % 36.36/7.28 | (2) real_$greatereq(real_-729/50, real_-781/50) = 0 % 36.36/7.28 | % 36.36/7.28 | DELTA: instantiating (real_combined_problem_15) with fresh symbol all_5_0 % 36.36/7.28 | gives: % 36.36/7.28 | (3) ~ (all_5_0 = 0) & real_$greatereq(real_-729/50, real_-781/50) = % 36.36/7.28 | all_5_0 % 36.36/7.28 | % 36.36/7.28 | ALPHA: (3) implies: % 36.36/7.29 | (4) ~ (all_5_0 = 0) % 36.36/7.29 | (5) real_$greatereq(real_-729/50, real_-781/50) = all_5_0 % 36.36/7.29 | % 36.36/7.29 | GROUND_INST: instantiating (1) with 0, all_5_0, real_-781/50, real_-729/50, % 36.36/7.29 | simplifying with (2), (5) gives: % 36.36/7.29 | (6) all_5_0 = 0 % 36.36/7.29 | % 36.36/7.29 | REDUCE: (4), (6) imply: % 36.36/7.29 | (7) $false % 36.36/7.29 | % 36.36/7.29 | CLOSE: (7) is inconsistent. % 36.36/7.29 | % 36.36/7.29 End of proof % 36.36/7.29 % SZS output end Proof for theBenchmark % 36.36/7.29 % 36.36/7.29 6667ms %------------------------------------------------------------------------------