%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ARI555_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 : n008.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 17:48:22 EDT 2023 % Result : Theorem 7.69s 1.75s % Output : Proof 16.65s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI555_1 : TPTP v8.1.2. Released v5.0.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n008.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Tue Aug 29 18:28:47 EDT 2023 % 0.13/0.34 % CPUTime : % 0.20/0.58 ________ _____ % 0.20/0.58 ___ __ \_________(_)________________________________ % 0.20/0.58 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.58 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.58 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.58 % 0.20/0.58 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.58 (2023-06-19) % 0.20/0.58 % 0.20/0.58 (c) Philipp Rümmer, 2009-2023 % 0.20/0.58 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.58 Amanda Stjerna. % 0.20/0.58 Free software under BSD-3-Clause. % 0.20/0.58 % 0.20/0.58 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.58 % 0.20/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.59 Running up to 7 provers in parallel. % 0.20/0.61 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.61 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.61 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.61 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.61 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.61 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.61 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.74/0.92 Prover 3: Warning: Problem contains rationals, using incomplete axiomatisation % 1.74/0.92 Prover 1: Warning: Problem contains rationals, using incomplete axiomatisation % 1.74/0.92 Prover 6: Warning: Problem contains rationals, using incomplete axiomatisation % 1.74/0.92 Prover 4: Warning: Problem contains rationals, using incomplete axiomatisation % 1.74/0.92 Prover 5: Warning: Problem contains rationals, using incomplete axiomatisation % 1.74/0.92 Prover 2: Warning: Problem contains rationals, using incomplete axiomatisation % 1.74/0.92 Prover 0: Warning: Problem contains rationals, using incomplete axiomatisation % 1.88/1.01 Prover 4: Preprocessing ... % 1.88/1.01 Prover 1: Preprocessing ... % 2.54/1.07 Prover 0: Preprocessing ... % 2.54/1.07 Prover 6: Preprocessing ... % 3.97/1.31 Prover 5: Preprocessing ... % 3.97/1.33 Prover 3: Preprocessing ... % 3.97/1.37 Prover 2: Preprocessing ... % 7.15/1.72 Prover 1: Constructing countermodel ... % 7.15/1.72 Prover 6: Constructing countermodel ... % 7.53/1.75 Prover 6: proved (1141ms) % 7.53/1.75 % 7.69/1.75 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 7.69/1.75 % 7.69/1.75 Prover 0: Constructing countermodel ... % 7.69/1.75 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 7.69/1.75 Prover 0: stopped % 7.69/1.75 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 7.69/1.76 Prover 7: Warning: Problem contains rationals, using incomplete axiomatisation % 7.69/1.76 Prover 8: Warning: Problem contains rationals, using incomplete axiomatisation % 7.69/1.80 Prover 8: Preprocessing ... % 7.69/1.81 Prover 4: Constructing countermodel ... % 8.16/1.86 Prover 7: Preprocessing ... % 9.12/1.95 Prover 8: Warning: ignoring some quantifiers % 9.12/1.98 Prover 8: Constructing countermodel ... % 9.78/2.05 Prover 1: Found proof (size 7) % 9.78/2.05 Prover 1: proved (1449ms) % 9.78/2.05 Prover 4: stopped % 9.78/2.06 Prover 8: stopped % 9.78/2.12 Prover 2: stopped % 12.34/2.49 Prover 7: stopped % 14.04/2.87 Prover 5: Constructing countermodel ... % 14.04/2.87 Prover 5: stopped % 15.71/3.19 Prover 3: Constructing countermodel ... % 15.71/3.19 Prover 3: stopped % 15.71/3.19 % 15.71/3.19 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 15.71/3.19 % 15.71/3.19 % SZS output start Proof for theBenchmark % 16.13/3.20 Assumptions after simplification: % 16.13/3.20 --------------------------------- % 16.13/3.20 % 16.13/3.20 (rat_combined_problem_15) % 16.13/3.24 ? [v0: int] : ( ~ (v0 = 0) & rat_$greatereq(rat_-9/50, rat_-9/50) = v0) % 16.13/3.24 % 16.13/3.24 (input) % 16.65/3.31 ~ (rat_very_large = rat_very_small) & ~ (rat_very_large = rat_-9/50) & ~ % 16.65/3.31 (rat_very_large = rat_9/50) & ~ (rat_very_large = rat_-1/4) & ~ % 16.65/3.31 (rat_very_large = rat_-18/25) & ~ (rat_very_large = rat_0) & ~ % 16.65/3.31 (rat_very_small = rat_-9/50) & ~ (rat_very_small = rat_9/50) & ~ % 16.65/3.31 (rat_very_small = rat_-1/4) & ~ (rat_very_small = rat_-18/25) & ~ % 16.65/3.31 (rat_very_small = rat_0) & ~ (rat_-9/50 = rat_9/50) & ~ (rat_-9/50 = % 16.65/3.31 rat_-1/4) & ~ (rat_-9/50 = rat_-18/25) & ~ (rat_-9/50 = rat_0) & ~ % 16.65/3.31 (rat_9/50 = rat_-1/4) & ~ (rat_9/50 = rat_-18/25) & ~ (rat_9/50 = rat_0) & % 16.65/3.31 ~ (rat_-1/4 = rat_-18/25) & ~ (rat_-1/4 = rat_0) & ~ (rat_-18/25 = rat_0) & % 16.65/3.31 rat_$is_int(rat_-9/50) = 1 & rat_$is_int(rat_9/50) = 1 & rat_$is_int(rat_-1/4) % 16.65/3.31 = 1 & rat_$is_int(rat_-18/25) = 1 & rat_$is_int(rat_0) = 0 & % 16.65/3.31 rat_$is_rat(rat_-9/50) = 0 & rat_$is_rat(rat_9/50) = 0 & rat_$is_rat(rat_-1/4) % 16.65/3.31 = 0 & rat_$is_rat(rat_-18/25) = 0 & rat_$is_rat(rat_0) = 0 & % 16.65/3.31 rat_$floor(rat_9/50) = rat_0 & rat_$floor(rat_0) = rat_0 & % 16.65/3.31 rat_$ceiling(rat_-9/50) = rat_0 & rat_$ceiling(rat_-1/4) = rat_0 & % 16.65/3.31 rat_$ceiling(rat_-18/25) = rat_0 & rat_$ceiling(rat_0) = rat_0 & % 16.65/3.31 rat_$truncate(rat_-9/50) = rat_0 & rat_$truncate(rat_9/50) = rat_0 & % 16.65/3.31 rat_$truncate(rat_-1/4) = rat_0 & rat_$truncate(rat_-18/25) = rat_0 & % 16.65/3.31 rat_$truncate(rat_0) = rat_0 & rat_$round(rat_-9/50) = rat_0 & % 16.65/3.31 rat_$round(rat_9/50) = rat_0 & rat_$round(rat_-1/4) = rat_0 & % 16.65/3.31 rat_$round(rat_0) = rat_0 & rat_$to_int(rat_-9/50) = -1 & % 16.65/3.31 rat_$to_int(rat_9/50) = 0 & rat_$to_int(rat_-1/4) = -1 & % 16.65/3.31 rat_$to_int(rat_-18/25) = -1 & rat_$to_int(rat_0) = 0 & rat_$to_rat(rat_-9/50) % 16.65/3.31 = rat_-9/50 & rat_$to_rat(rat_9/50) = rat_9/50 & rat_$to_rat(rat_-1/4) = % 16.65/3.31 rat_-1/4 & rat_$to_rat(rat_-18/25) = rat_-18/25 & rat_$to_rat(rat_0) = rat_0 & % 16.65/3.31 rat_$to_real(rat_-9/50) = real_-9/50 & rat_$to_real(rat_9/50) = real_9/50 & % 16.65/3.31 rat_$to_real(rat_-1/4) = real_-1/4 & rat_$to_real(rat_-18/25) = real_-18/25 & % 16.65/3.31 rat_$to_real(rat_0) = real_0 & int_$to_rat(0) = rat_0 & % 16.65/3.31 rat_$quotient(rat_9/50, rat_-1/4) = rat_-18/25 & rat_$quotient(rat_9/50, % 16.65/3.31 rat_-18/25) = rat_-1/4 & rat_$quotient(rat_0, rat_-9/50) = rat_0 & % 16.65/3.31 rat_$quotient(rat_0, rat_9/50) = rat_0 & rat_$quotient(rat_0, rat_-1/4) = % 16.65/3.31 rat_0 & rat_$quotient(rat_0, rat_-18/25) = rat_0 & rat_$product(rat_-9/50, % 16.65/3.31 rat_0) = rat_0 & rat_$product(rat_9/50, rat_0) = rat_0 & % 16.65/3.31 rat_$product(rat_-1/4, rat_-18/25) = rat_9/50 & rat_$product(rat_-1/4, rat_0) % 16.65/3.31 = rat_0 & rat_$product(rat_-18/25, rat_-1/4) = rat_9/50 & % 16.65/3.31 rat_$product(rat_-18/25, rat_0) = rat_0 & rat_$product(rat_0, rat_-9/50) = % 16.65/3.31 rat_0 & rat_$product(rat_0, rat_9/50) = rat_0 & rat_$product(rat_0, rat_-1/4) % 16.65/3.31 = rat_0 & rat_$product(rat_0, rat_-18/25) = rat_0 & rat_$product(rat_0, rat_0) % 16.65/3.31 = rat_0 & rat_$difference(rat_-9/50, rat_-9/50) = rat_0 & % 16.65/3.31 rat_$difference(rat_-9/50, rat_0) = rat_-9/50 & rat_$difference(rat_9/50, % 16.65/3.31 rat_9/50) = rat_0 & rat_$difference(rat_9/50, rat_0) = rat_9/50 & % 16.65/3.31 rat_$difference(rat_-1/4, rat_-1/4) = rat_0 & rat_$difference(rat_-1/4, rat_0) % 16.65/3.31 = rat_-1/4 & rat_$difference(rat_-18/25, rat_-18/25) = rat_0 & % 16.65/3.31 rat_$difference(rat_-18/25, rat_0) = rat_-18/25 & rat_$difference(rat_0, % 16.65/3.31 rat_-9/50) = rat_9/50 & rat_$difference(rat_0, rat_9/50) = rat_-9/50 & % 16.65/3.31 rat_$difference(rat_0, rat_0) = rat_0 & rat_$uminus(rat_-9/50) = rat_9/50 & % 16.65/3.31 rat_$uminus(rat_9/50) = rat_-9/50 & rat_$uminus(rat_0) = rat_0 & % 16.65/3.31 rat_$sum(rat_-9/50, rat_9/50) = rat_0 & rat_$sum(rat_-9/50, rat_0) = rat_-9/50 % 16.65/3.31 & rat_$sum(rat_9/50, rat_-9/50) = rat_0 & rat_$sum(rat_9/50, rat_0) = rat_9/50 % 16.65/3.31 & rat_$sum(rat_-1/4, rat_0) = rat_-1/4 & rat_$sum(rat_-18/25, rat_0) = % 16.65/3.31 rat_-18/25 & rat_$sum(rat_0, rat_-9/50) = rat_-9/50 & rat_$sum(rat_0, % 16.65/3.31 rat_9/50) = rat_9/50 & rat_$sum(rat_0, rat_-1/4) = rat_-1/4 & % 16.65/3.31 rat_$sum(rat_0, rat_-18/25) = rat_-18/25 & rat_$sum(rat_0, rat_0) = rat_0 & % 16.65/3.31 rat_$lesseq(rat_very_small, rat_very_large) = 0 & rat_$lesseq(rat_-9/50, % 16.65/3.31 rat_-9/50) = 0 & rat_$lesseq(rat_-9/50, rat_9/50) = 0 & % 16.65/3.31 rat_$lesseq(rat_-9/50, rat_-1/4) = 1 & rat_$lesseq(rat_-9/50, rat_-18/25) = 1 % 16.65/3.31 & rat_$lesseq(rat_-9/50, rat_0) = 0 & rat_$lesseq(rat_9/50, rat_-9/50) = 1 & % 16.65/3.31 rat_$lesseq(rat_9/50, rat_9/50) = 0 & rat_$lesseq(rat_9/50, rat_-1/4) = 1 & % 16.65/3.31 rat_$lesseq(rat_9/50, rat_-18/25) = 1 & rat_$lesseq(rat_9/50, rat_0) = 1 & % 16.65/3.31 rat_$lesseq(rat_-1/4, rat_-9/50) = 0 & rat_$lesseq(rat_-1/4, rat_9/50) = 0 & % 16.65/3.31 rat_$lesseq(rat_-1/4, rat_-1/4) = 0 & rat_$lesseq(rat_-1/4, rat_-18/25) = 1 & % 16.65/3.31 rat_$lesseq(rat_-1/4, rat_0) = 0 & rat_$lesseq(rat_-18/25, rat_-9/50) = 0 & % 16.65/3.31 rat_$lesseq(rat_-18/25, rat_9/50) = 0 & rat_$lesseq(rat_-18/25, rat_-1/4) = 0 % 16.65/3.31 & rat_$lesseq(rat_-18/25, rat_-18/25) = 0 & rat_$lesseq(rat_-18/25, rat_0) = 0 % 16.65/3.31 & rat_$lesseq(rat_0, rat_-9/50) = 1 & rat_$lesseq(rat_0, rat_9/50) = 0 & % 16.65/3.31 rat_$lesseq(rat_0, rat_-1/4) = 1 & rat_$lesseq(rat_0, rat_-18/25) = 1 & % 16.65/3.32 rat_$lesseq(rat_0, rat_0) = 0 & rat_$greater(rat_very_large, rat_-9/50) = 0 & % 16.65/3.32 rat_$greater(rat_very_large, rat_9/50) = 0 & rat_$greater(rat_very_large, % 16.65/3.32 rat_-1/4) = 0 & rat_$greater(rat_very_large, rat_-18/25) = 0 & % 16.65/3.32 rat_$greater(rat_very_large, rat_0) = 0 & rat_$greater(rat_very_small, % 16.65/3.32 rat_very_large) = 1 & rat_$greater(rat_-9/50, rat_very_small) = 0 & % 16.65/3.32 rat_$greater(rat_-9/50, rat_-9/50) = 1 & rat_$greater(rat_-9/50, rat_9/50) = 1 % 16.65/3.32 & rat_$greater(rat_-9/50, rat_-1/4) = 0 & rat_$greater(rat_-9/50, rat_-18/25) % 16.65/3.32 = 0 & rat_$greater(rat_-9/50, rat_0) = 1 & rat_$greater(rat_9/50, % 16.65/3.32 rat_very_small) = 0 & rat_$greater(rat_9/50, rat_-9/50) = 0 & % 16.65/3.32 rat_$greater(rat_9/50, rat_9/50) = 1 & rat_$greater(rat_9/50, rat_-1/4) = 0 & % 16.65/3.32 rat_$greater(rat_9/50, rat_-18/25) = 0 & rat_$greater(rat_9/50, rat_0) = 0 & % 16.65/3.32 rat_$greater(rat_-1/4, rat_very_small) = 0 & rat_$greater(rat_-1/4, rat_-9/50) % 16.65/3.32 = 1 & rat_$greater(rat_-1/4, rat_9/50) = 1 & rat_$greater(rat_-1/4, rat_-1/4) % 16.65/3.32 = 1 & rat_$greater(rat_-1/4, rat_-18/25) = 0 & rat_$greater(rat_-1/4, rat_0) = % 16.65/3.32 1 & rat_$greater(rat_-18/25, rat_very_small) = 0 & rat_$greater(rat_-18/25, % 16.65/3.32 rat_-9/50) = 1 & rat_$greater(rat_-18/25, rat_9/50) = 1 & % 16.65/3.32 rat_$greater(rat_-18/25, rat_-1/4) = 1 & rat_$greater(rat_-18/25, rat_-18/25) % 16.65/3.32 = 1 & rat_$greater(rat_-18/25, rat_0) = 1 & rat_$greater(rat_0, % 16.65/3.32 rat_very_small) = 0 & rat_$greater(rat_0, rat_-9/50) = 0 & % 16.65/3.32 rat_$greater(rat_0, rat_9/50) = 1 & rat_$greater(rat_0, rat_-1/4) = 0 & % 16.65/3.32 rat_$greater(rat_0, rat_-18/25) = 0 & rat_$greater(rat_0, rat_0) = 1 & % 16.65/3.32 rat_$less(rat_very_small, rat_very_large) = 0 & rat_$less(rat_very_small, % 16.65/3.32 rat_-9/50) = 0 & rat_$less(rat_very_small, rat_9/50) = 0 & % 16.65/3.32 rat_$less(rat_very_small, rat_-1/4) = 0 & rat_$less(rat_very_small, % 16.65/3.32 rat_-18/25) = 0 & rat_$less(rat_very_small, rat_0) = 0 & % 16.65/3.32 rat_$less(rat_-9/50, rat_very_large) = 0 & rat_$less(rat_-9/50, rat_-9/50) = 1 % 16.65/3.32 & rat_$less(rat_-9/50, rat_9/50) = 0 & rat_$less(rat_-9/50, rat_-1/4) = 1 & % 16.65/3.32 rat_$less(rat_-9/50, rat_-18/25) = 1 & rat_$less(rat_-9/50, rat_0) = 0 & % 16.65/3.32 rat_$less(rat_9/50, rat_very_large) = 0 & rat_$less(rat_9/50, rat_-9/50) = 1 & % 16.65/3.32 rat_$less(rat_9/50, rat_9/50) = 1 & rat_$less(rat_9/50, rat_-1/4) = 1 & % 16.65/3.32 rat_$less(rat_9/50, rat_-18/25) = 1 & rat_$less(rat_9/50, rat_0) = 1 & % 16.65/3.32 rat_$less(rat_-1/4, rat_very_large) = 0 & rat_$less(rat_-1/4, rat_-9/50) = 0 & % 16.65/3.32 rat_$less(rat_-1/4, rat_9/50) = 0 & rat_$less(rat_-1/4, rat_-1/4) = 1 & % 16.65/3.32 rat_$less(rat_-1/4, rat_-18/25) = 1 & rat_$less(rat_-1/4, rat_0) = 0 & % 16.65/3.32 rat_$less(rat_-18/25, rat_very_large) = 0 & rat_$less(rat_-18/25, rat_-9/50) = % 16.65/3.32 0 & rat_$less(rat_-18/25, rat_9/50) = 0 & rat_$less(rat_-18/25, rat_-1/4) = 0 % 16.65/3.32 & rat_$less(rat_-18/25, rat_-18/25) = 1 & rat_$less(rat_-18/25, rat_0) = 0 & % 16.65/3.32 rat_$less(rat_0, rat_very_large) = 0 & rat_$less(rat_0, rat_-9/50) = 1 & % 16.65/3.32 rat_$less(rat_0, rat_9/50) = 0 & rat_$less(rat_0, rat_-1/4) = 1 & % 16.65/3.32 rat_$less(rat_0, rat_-18/25) = 1 & rat_$less(rat_0, rat_0) = 1 & % 16.65/3.32 rat_$greatereq(rat_very_small, rat_very_large) = 1 & rat_$greatereq(rat_-9/50, % 16.65/3.32 rat_-9/50) = 0 & rat_$greatereq(rat_-9/50, rat_9/50) = 1 & % 16.65/3.32 rat_$greatereq(rat_-9/50, rat_-1/4) = 0 & rat_$greatereq(rat_-9/50, % 16.65/3.32 rat_-18/25) = 0 & rat_$greatereq(rat_-9/50, rat_0) = 1 & % 16.65/3.32 rat_$greatereq(rat_9/50, rat_-9/50) = 0 & rat_$greatereq(rat_9/50, rat_9/50) = % 16.65/3.32 0 & rat_$greatereq(rat_9/50, rat_-1/4) = 0 & rat_$greatereq(rat_9/50, % 16.65/3.32 rat_-18/25) = 0 & rat_$greatereq(rat_9/50, rat_0) = 0 & % 16.65/3.32 rat_$greatereq(rat_-1/4, rat_-9/50) = 1 & rat_$greatereq(rat_-1/4, rat_9/50) = % 16.65/3.32 1 & rat_$greatereq(rat_-1/4, rat_-1/4) = 0 & rat_$greatereq(rat_-1/4, % 16.65/3.32 rat_-18/25) = 0 & rat_$greatereq(rat_-1/4, rat_0) = 1 & % 16.65/3.32 rat_$greatereq(rat_-18/25, rat_-9/50) = 1 & rat_$greatereq(rat_-18/25, % 16.65/3.32 rat_9/50) = 1 & rat_$greatereq(rat_-18/25, rat_-1/4) = 1 & % 16.65/3.32 rat_$greatereq(rat_-18/25, rat_-18/25) = 0 & rat_$greatereq(rat_-18/25, rat_0) % 16.65/3.32 = 1 & rat_$greatereq(rat_0, rat_-9/50) = 0 & rat_$greatereq(rat_0, rat_9/50) = % 16.65/3.32 1 & rat_$greatereq(rat_0, rat_-1/4) = 0 & rat_$greatereq(rat_0, rat_-18/25) = % 16.65/3.32 0 & rat_$greatereq(rat_0, rat_0) = 0 & ! [v0: $rat] : ! [v1: $rat] : ! [v2: % 16.65/3.32 $rat] : ! [v3: $rat] : ! [v4: $rat] : ( ~ (rat_$sum(v3, v0) = v4) | ~ % 16.65/3.32 (rat_$sum(v2, v1) = v3) | ? [v5: $rat] : (rat_$sum(v2, v5) = v4 & % 16.65/3.32 rat_$sum(v1, v0) = v5)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : % 16.65/3.32 ! [v3: $rat] : (v3 = v1 | v0 = rat_0 | ~ (rat_$quotient(v2, v0) = v3) | ~ % 16.65/3.32 (rat_$product(v1, v0) = v2)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] % 16.65/3.32 : ! [v3: int] : (v3 = 0 | ~ (rat_$lesseq(v2, v0) = v3) | ~ (rat_$lesseq(v1, % 16.65/3.32 v0) = 0) | ? [v4: int] : ( ~ (v4 = 0) & rat_$lesseq(v2, v1) = v4)) & ! % 16.65/3.32 [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: int] : (v3 = 0 | ~ % 16.65/3.32 (rat_$lesseq(v1, v0) = 0) | ~ (rat_$less(v2, v0) = v3) | ? [v4: int] : ( ~ % 16.65/3.32 (v4 = 0) & rat_$less(v2, v1) = v4)) & ! [v0: $rat] : ! [v1: $rat] : ! % 16.65/3.32 [v2: $rat] : ! [v3: $rat] : ( ~ (rat_$uminus(v0) = v2) | ~ (rat_$sum(v1, v2) % 16.65/3.32 = v3) | rat_$difference(v1, v0) = v3) & ! [v0: $rat] : ! [v1: $rat] : ! % 16.65/3.32 [v2: $rat] : (v2 = rat_0 | ~ (rat_$uminus(v0) = v1) | ~ (rat_$sum(v0, v1) = % 16.65/3.32 v2)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: int] : (v2 = 0 | ~ % 16.65/3.32 (rat_$lesseq(v1, v0) = v2) | ( ~ (v1 = v0) & ? [v3: int] : ( ~ (v3 = 0) & % 16.65/3.32 rat_$less(v1, v0) = v3))) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: int] % 16.65/3.32 : (v2 = 0 | ~ (rat_$greater(v0, v1) = v2) | ? [v3: int] : ( ~ (v3 = 0) & % 16.65/3.32 rat_$less(v1, v0) = v3)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: int] : % 16.65/3.32 (v2 = 0 | ~ (rat_$greatereq(v0, v1) = v2) | ? [v3: int] : ( ~ (v3 = 0) & % 16.65/3.32 rat_$lesseq(v1, v0) = v3)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] % 16.65/3.32 : ( ~ (rat_$product(v0, v1) = v2) | rat_$product(v1, v0) = v2) & ! [v0: $rat] % 16.65/3.32 : ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$sum(v0, v1) = v2) | rat_$sum(v1, % 16.65/3.32 v0) = v2) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ % 16.65/3.32 (rat_$lesseq(v2, v1) = 0) | ~ (rat_$less(v1, v0) = 0) | rat_$less(v2, v0) = % 16.65/3.32 0) & ! [v0: $rat] : ! [v1: $rat] : (v1 = v0 | ~ (rat_$sum(v0, rat_0) = % 16.65/3.32 v1)) & ! [v0: $rat] : ! [v1: $rat] : (v1 = v0 | ~ (rat_$lesseq(v1, v0) % 16.65/3.32 = 0) | rat_$less(v1, v0) = 0) & ! [v0: $rat] : ! [v1: $rat] : ( ~ % 16.65/3.32 (rat_$uminus(v0) = v1) | rat_$uminus(v1) = v0) & ! [v0: $rat] : ! [v1: % 16.65/3.32 $rat] : ( ~ (rat_$greater(v0, v1) = 0) | rat_$less(v1, v0) = 0) & ! [v0: % 16.65/3.32 $rat] : ! [v1: $rat] : ( ~ (rat_$greatereq(v0, v1) = 0) | rat_$lesseq(v1, % 16.65/3.32 v0) = 0) & ! [v0: $rat] : (v0 = rat_0 | ~ (rat_$uminus(v0) = v0)) % 16.65/3.32 % 16.65/3.32 (function-axioms) % 16.65/3.33 ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : (v1 = v0 | ~ % 16.65/3.33 (rat_$quotient(v3, v2) = v1) | ~ (rat_$quotient(v3, v2) = v0)) & ! [v0: % 16.65/3.33 $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : (v1 = v0 | ~ % 16.65/3.33 (rat_$product(v3, v2) = v1) | ~ (rat_$product(v3, v2) = v0)) & ! [v0: % 16.65/3.33 $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : (v1 = v0 | ~ % 16.65/3.33 (rat_$difference(v3, v2) = v1) | ~ (rat_$difference(v3, v2) = v0)) & ! % 16.65/3.33 [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : (v1 = v0 | ~ % 16.65/3.33 (rat_$sum(v3, v2) = v1) | ~ (rat_$sum(v3, v2) = v0)) & ! [v0: % 16.65/3.33 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $rat] : ! [v3: % 16.65/3.33 $rat] : (v1 = v0 | ~ (rat_$lesseq(v3, v2) = v1) | ~ (rat_$lesseq(v3, v2) = % 16.65/3.33 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 16.65/3.33 $rat] : ! [v3: $rat] : (v1 = v0 | ~ (rat_$greater(v3, v2) = v1) | ~ % 16.65/3.33 (rat_$greater(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 16.65/3.33 MultipleValueBool] : ! [v2: $rat] : ! [v3: $rat] : (v1 = v0 | ~ % 16.65/3.33 (rat_$less(v3, v2) = v1) | ~ (rat_$less(v3, v2) = v0)) & ! [v0: % 16.65/3.33 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $rat] : ! [v3: % 16.65/3.33 $rat] : (v1 = v0 | ~ (rat_$greatereq(v3, v2) = v1) | ~ (rat_$greatereq(v3, % 16.65/3.33 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 16.65/3.33 ! [v2: $rat] : (v1 = v0 | ~ (rat_$is_int(v2) = v1) | ~ (rat_$is_int(v2) = % 16.65/3.33 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 16.65/3.33 $rat] : (v1 = v0 | ~ (rat_$is_rat(v2) = v1) | ~ (rat_$is_rat(v2) = v0)) & % 16.65/3.33 ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : (v1 = v0 | ~ (rat_$floor(v2) = % 16.65/3.33 v1) | ~ (rat_$floor(v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: % 16.65/3.33 $rat] : (v1 = v0 | ~ (rat_$ceiling(v2) = v1) | ~ (rat_$ceiling(v2) = v0)) % 16.65/3.33 & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : (v1 = v0 | ~ % 16.65/3.33 (rat_$truncate(v2) = v1) | ~ (rat_$truncate(v2) = v0)) & ! [v0: $rat] : ! % 16.65/3.33 [v1: $rat] : ! [v2: $rat] : (v1 = v0 | ~ (rat_$round(v2) = v1) | ~ % 16.65/3.33 (rat_$round(v2) = v0)) & ! [v0: int] : ! [v1: int] : ! [v2: $rat] : (v1 = % 16.65/3.33 v0 | ~ (rat_$to_int(v2) = v1) | ~ (rat_$to_int(v2) = v0)) & ! [v0: $rat] % 16.65/3.33 : ! [v1: $rat] : ! [v2: $rat] : (v1 = v0 | ~ (rat_$to_rat(v2) = v1) | ~ % 16.65/3.33 (rat_$to_rat(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $rat] : % 16.65/3.33 (v1 = v0 | ~ (rat_$to_real(v2) = v1) | ~ (rat_$to_real(v2) = v0)) & ! [v0: % 16.65/3.33 $rat] : ! [v1: $rat] : ! [v2: int] : (v1 = v0 | ~ (int_$to_rat(v2) = v1) % 16.65/3.33 | ~ (int_$to_rat(v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] % 16.65/3.33 : (v1 = v0 | ~ (rat_$uminus(v2) = v1) | ~ (rat_$uminus(v2) = v0)) % 16.65/3.33 % 16.65/3.33 Those formulas are unsatisfiable: % 16.65/3.33 --------------------------------- % 16.65/3.33 % 16.65/3.33 Begin of proof % 16.65/3.33 | % 16.65/3.33 | ALPHA: (function-axioms) implies: % 16.65/3.33 | (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $rat] % 16.65/3.33 | : ! [v3: $rat] : (v1 = v0 | ~ (rat_$greatereq(v3, v2) = v1) | ~ % 16.65/3.33 | (rat_$greatereq(v3, v2) = v0)) % 16.65/3.33 | % 16.65/3.33 | ALPHA: (input) implies: % 16.65/3.33 | (2) rat_$greatereq(rat_-9/50, rat_-9/50) = 0 % 16.65/3.33 | % 16.65/3.33 | DELTA: instantiating (rat_combined_problem_15) with fresh symbol all_5_0 % 16.65/3.33 | gives: % 16.65/3.33 | (3) ~ (all_5_0 = 0) & rat_$greatereq(rat_-9/50, rat_-9/50) = all_5_0 % 16.65/3.33 | % 16.65/3.33 | ALPHA: (3) implies: % 16.65/3.33 | (4) ~ (all_5_0 = 0) % 16.65/3.33 | (5) rat_$greatereq(rat_-9/50, rat_-9/50) = all_5_0 % 16.65/3.33 | % 16.65/3.33 | GROUND_INST: instantiating (1) with 0, all_5_0, rat_-9/50, rat_-9/50, % 16.65/3.33 | simplifying with (2), (5) gives: % 16.65/3.33 | (6) all_5_0 = 0 % 16.65/3.33 | % 16.65/3.33 | REDUCE: (4), (6) imply: % 16.65/3.33 | (7) $false % 16.65/3.34 | % 16.65/3.34 | CLOSE: (7) is inconsistent. % 16.65/3.34 | % 16.65/3.34 End of proof % 16.65/3.34 % SZS output end Proof for theBenchmark % 16.65/3.34 % 16.65/3.34 2757ms %------------------------------------------------------------------------------