%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ARI342_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 : n031.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 17:47:41 EDT 2023 % Result : Theorem 8.12s 1.82s % Output : Proof 10.91s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : ARI342_1 : TPTP v8.1.2. Released v5.0.0. % 0.04/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n031.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 18:13:56 EDT 2023 % 0.13/0.34 % CPUTime : % 0.54/0.60 ________ _____ % 0.54/0.60 ___ __ \_________(_)________________________________ % 0.54/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.54/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.54/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.54/0.60 % 0.54/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.54/0.60 (2023-06-19) % 0.54/0.60 % 0.54/0.60 (c) Philipp Rümmer, 2009-2023 % 0.54/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.54/0.60 Amanda Stjerna. % 0.54/0.60 Free software under BSD-3-Clause. % 0.54/0.60 % 0.54/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.54/0.60 % 0.54/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.64/0.61 Running up to 7 provers in parallel. % 0.64/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.64/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.64/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.64/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.64/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.64/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.64/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.27/0.88 Prover 6: Warning: Problem contains rationals, using incomplete axiomatisation % 1.27/0.88 Prover 5: Warning: Problem contains rationals, using incomplete axiomatisation % 1.27/0.88 Prover 1: Warning: Problem contains rationals, using incomplete axiomatisation % 1.27/0.88 Prover 3: Warning: Problem contains rationals, using incomplete axiomatisation % 1.27/0.88 Prover 4: Warning: Problem contains rationals, using incomplete axiomatisation % 1.27/0.88 Prover 0: Warning: Problem contains rationals, using incomplete axiomatisation % 1.27/0.88 Prover 2: Warning: Problem contains rationals, using incomplete axiomatisation % 1.81/0.96 Prover 1: Preprocessing ... % 1.81/0.97 Prover 4: Preprocessing ... % 2.32/1.01 Prover 0: Preprocessing ... % 2.32/1.01 Prover 2: Preprocessing ... % 2.32/1.01 Prover 3: Preprocessing ... % 2.32/1.01 Prover 6: Preprocessing ... % 2.32/1.01 Prover 5: Preprocessing ... % 5.35/1.44 Prover 1: Constructing countermodel ... % 5.67/1.48 Prover 6: Proving ... % 6.34/1.55 Prover 0: Proving ... % 6.34/1.56 Prover 4: Constructing countermodel ... % 6.34/1.57 Prover 3: Constructing countermodel ... % 6.34/1.58 Prover 2: Proving ... % 7.19/1.66 Prover 5: Proving ... % 7.79/1.75 Prover 1: gave up % 7.79/1.75 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 7.79/1.76 Prover 7: Warning: Problem contains rationals, using incomplete axiomatisation % 8.12/1.78 Prover 7: Preprocessing ... % 8.12/1.82 Prover 2: proved (1197ms) % 8.12/1.82 % 8.12/1.82 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 8.12/1.82 % 8.12/1.83 Prover 5: proved (1195ms) % 8.12/1.83 % 8.12/1.83 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 8.12/1.83 % 8.12/1.83 Prover 6: stopped % 8.12/1.83 Prover 0: stopped % 8.12/1.83 Prover 3: stopped % 8.12/1.83 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 8.12/1.83 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 8.12/1.83 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 8.12/1.83 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 8.12/1.83 Prover 10: Warning: Problem contains rationals, using incomplete axiomatisation % 8.12/1.83 Prover 11: Warning: Problem contains rationals, using incomplete axiomatisation % 8.12/1.84 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 8.55/1.84 Prover 8: Warning: Problem contains rationals, using incomplete axiomatisation % 8.55/1.85 Prover 13: Warning: Problem contains rationals, using incomplete axiomatisation % 8.55/1.85 Prover 16: Warning: Problem contains rationals, using incomplete axiomatisation % 8.55/1.85 Prover 11: Preprocessing ... % 8.55/1.85 Prover 10: Preprocessing ... % 8.55/1.85 Prover 8: Preprocessing ... % 8.55/1.85 Prover 13: Preprocessing ... % 8.55/1.86 Prover 16: Preprocessing ... % 9.42/1.96 Prover 8: Warning: ignoring some quantifiers % 9.42/1.98 Prover 8: Constructing countermodel ... % 9.42/1.99 Prover 7: Warning: ignoring some quantifiers % 9.42/2.00 Prover 13: Warning: ignoring some quantifiers % 9.42/2.01 Prover 7: Constructing countermodel ... % 9.42/2.01 Prover 13: Constructing countermodel ... % 9.42/2.02 Prover 10: Warning: ignoring some quantifiers % 9.42/2.03 Prover 10: Constructing countermodel ... % 9.93/2.06 Prover 16: Warning: ignoring some quantifiers % 9.93/2.06 Prover 16: Constructing countermodel ... % 10.28/2.13 Prover 11: Constructing countermodel ... % 10.79/2.14 Prover 10: Found proof (size 3) % 10.79/2.14 Prover 10: proved (313ms) % 10.79/2.14 Prover 7: Found proof (size 3) % 10.79/2.14 Prover 7: proved (391ms) % 10.79/2.14 Prover 16: stopped % 10.79/2.14 Prover 13: stopped % 10.79/2.14 Prover 8: stopped % 10.79/2.14 Prover 4: stopped % 10.79/2.14 Prover 11: stopped % 10.79/2.14 % 10.79/2.14 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 10.79/2.14 % 10.79/2.15 % SZS output start Proof for theBenchmark % 10.79/2.15 Assumptions after simplification: % 10.79/2.15 --------------------------------- % 10.79/2.15 % 10.79/2.15 (rat_combined_problem_8) % 10.91/2.17 ! [v0: $rat] : ! [v1: $rat] : ( ~ (rat_$sum(v0, v0) = v1) | ~ rat_$less(v1, % 10.91/2.17 rat_-13/2)) % 10.91/2.17 % 10.91/2.17 (input) % 10.91/2.20 ~ (rat_very_large = rat_very_small) & ~ (rat_very_large = rat_1) & ~ % 10.91/2.20 (rat_very_large = rat_-2/13) & ~ (rat_very_large = rat_169/4) & ~ % 10.91/2.20 (rat_very_large = rat_-13) & ~ (rat_very_large = rat_13/2) & ~ % 10.91/2.20 (rat_very_large = rat_-13/2) & ~ (rat_very_large = rat_0) & ~ % 10.91/2.20 (rat_very_small = rat_1) & ~ (rat_very_small = rat_-2/13) & ~ % 10.91/2.20 (rat_very_small = rat_169/4) & ~ (rat_very_small = rat_-13) & ~ % 10.91/2.20 (rat_very_small = rat_13/2) & ~ (rat_very_small = rat_-13/2) & ~ % 10.91/2.20 (rat_very_small = rat_0) & ~ (rat_1 = rat_-2/13) & ~ (rat_1 = rat_169/4) & % 10.91/2.20 ~ (rat_1 = rat_-13) & ~ (rat_1 = rat_13/2) & ~ (rat_1 = rat_-13/2) & ~ % 10.91/2.20 (rat_1 = rat_0) & ~ (rat_-2/13 = rat_169/4) & ~ (rat_-2/13 = rat_-13) & ~ % 10.91/2.20 (rat_-2/13 = rat_13/2) & ~ (rat_-2/13 = rat_-13/2) & ~ (rat_-2/13 = rat_0) & % 10.91/2.20 ~ (rat_169/4 = rat_-13) & ~ (rat_169/4 = rat_13/2) & ~ (rat_169/4 = % 10.91/2.20 rat_-13/2) & ~ (rat_169/4 = rat_0) & ~ (rat_-13 = rat_13/2) & ~ (rat_-13 % 10.91/2.20 = rat_-13/2) & ~ (rat_-13 = rat_0) & ~ (rat_13/2 = rat_-13/2) & ~ % 10.91/2.20 (rat_13/2 = rat_0) & ~ (rat_-13/2 = rat_0) & rat_$floor(rat_1) = rat_1 & % 10.91/2.20 rat_$floor(rat_-13) = rat_-13 & rat_$floor(rat_0) = rat_0 & % 10.91/2.20 rat_$ceiling(rat_1) = rat_1 & rat_$ceiling(rat_-2/13) = rat_0 & % 10.91/2.20 rat_$ceiling(rat_-13) = rat_-13 & rat_$ceiling(rat_0) = rat_0 & % 10.91/2.20 rat_$truncate(rat_1) = rat_1 & rat_$truncate(rat_-2/13) = rat_0 & % 10.91/2.20 rat_$truncate(rat_-13) = rat_-13 & rat_$truncate(rat_0) = rat_0 & % 10.91/2.20 rat_$round(rat_1) = rat_1 & rat_$round(rat_-2/13) = rat_0 & % 10.91/2.20 rat_$round(rat_-13) = rat_-13 & rat_$round(rat_0) = rat_0 & rat_$to_int(rat_1) % 10.91/2.20 = 1 & rat_$to_int(rat_-2/13) = -1 & rat_$to_int(rat_169/4) = 42 & % 10.91/2.20 rat_$to_int(rat_-13) = -13 & rat_$to_int(rat_13/2) = 6 & % 10.91/2.20 rat_$to_int(rat_-13/2) = -7 & rat_$to_int(rat_0) = 0 & rat_$to_rat(rat_1) = % 10.91/2.20 rat_1 & rat_$to_rat(rat_-2/13) = rat_-2/13 & rat_$to_rat(rat_169/4) = % 10.91/2.20 rat_169/4 & rat_$to_rat(rat_-13) = rat_-13 & rat_$to_rat(rat_13/2) = rat_13/2 % 10.91/2.20 & rat_$to_rat(rat_-13/2) = rat_-13/2 & rat_$to_rat(rat_0) = rat_0 & % 10.91/2.20 rat_$to_real(rat_1) = real_1 & rat_$to_real(rat_-2/13) = real_-2/13 & % 10.91/2.20 rat_$to_real(rat_169/4) = real_169/4 & rat_$to_real(rat_-13) = real_-13 & % 10.91/2.20 rat_$to_real(rat_13/2) = real_13/2 & rat_$to_real(rat_-13/2) = real_-13/2 & % 10.91/2.20 rat_$to_real(rat_0) = real_0 & int_$to_rat(-13) = rat_-13 & int_$to_rat(1) = % 10.91/2.20 rat_1 & int_$to_rat(0) = rat_0 & rat_$quotient(rat_1, rat_1) = rat_1 & % 10.91/2.20 rat_$quotient(rat_1, rat_-2/13) = rat_-13/2 & rat_$quotient(rat_1, rat_-13/2) % 10.91/2.20 = rat_-2/13 & rat_$quotient(rat_-2/13, rat_1) = rat_-2/13 & % 10.91/2.20 rat_$quotient(rat_-2/13, rat_-2/13) = rat_1 & rat_$quotient(rat_169/4, rat_1) % 10.91/2.20 = rat_169/4 & rat_$quotient(rat_169/4, rat_169/4) = rat_1 & % 10.91/2.20 rat_$quotient(rat_169/4, rat_13/2) = rat_13/2 & rat_$quotient(rat_169/4, % 10.91/2.20 rat_-13/2) = rat_-13/2 & rat_$quotient(rat_-13, rat_1) = rat_-13 & % 10.91/2.20 rat_$quotient(rat_-13, rat_-13) = rat_1 & rat_$quotient(rat_13/2, rat_1) = % 10.91/2.20 rat_13/2 & rat_$quotient(rat_13/2, rat_13/2) = rat_1 & % 10.91/2.20 rat_$quotient(rat_-13/2, rat_1) = rat_-13/2 & rat_$quotient(rat_-13/2, % 10.91/2.20 rat_-2/13) = rat_169/4 & rat_$quotient(rat_-13/2, rat_169/4) = rat_-2/13 & % 10.91/2.20 rat_$quotient(rat_-13/2, rat_-13/2) = rat_1 & rat_$quotient(rat_0, rat_1) = % 10.91/2.20 rat_0 & rat_$quotient(rat_0, rat_-2/13) = rat_0 & rat_$quotient(rat_0, % 10.91/2.20 rat_169/4) = rat_0 & rat_$quotient(rat_0, rat_-13) = rat_0 & % 10.91/2.20 rat_$quotient(rat_0, rat_13/2) = rat_0 & rat_$quotient(rat_0, rat_-13/2) = % 10.91/2.20 rat_0 & rat_$product(rat_1, rat_1) = rat_1 & rat_$product(rat_1, rat_-2/13) = % 10.91/2.20 rat_-2/13 & rat_$product(rat_1, rat_169/4) = rat_169/4 & rat_$product(rat_1, % 10.91/2.20 rat_-13) = rat_-13 & rat_$product(rat_1, rat_13/2) = rat_13/2 & % 10.91/2.20 rat_$product(rat_1, rat_-13/2) = rat_-13/2 & rat_$product(rat_1, rat_0) = % 10.91/2.20 rat_0 & rat_$product(rat_-2/13, rat_1) = rat_-2/13 & rat_$product(rat_-2/13, % 10.91/2.20 rat_169/4) = rat_-13/2 & rat_$product(rat_-2/13, rat_-13/2) = rat_1 & % 10.91/2.20 rat_$product(rat_-2/13, rat_0) = rat_0 & rat_$product(rat_169/4, rat_1) = % 10.91/2.20 rat_169/4 & rat_$product(rat_169/4, rat_-2/13) = rat_-13/2 & % 10.91/2.20 rat_$product(rat_169/4, rat_0) = rat_0 & rat_$product(rat_-13, rat_1) = % 10.91/2.20 rat_-13 & rat_$product(rat_-13, rat_0) = rat_0 & rat_$product(rat_13/2, rat_1) % 10.91/2.20 = rat_13/2 & rat_$product(rat_13/2, rat_13/2) = rat_169/4 & % 10.91/2.20 rat_$product(rat_13/2, rat_0) = rat_0 & rat_$product(rat_-13/2, rat_1) = % 10.91/2.20 rat_-13/2 & rat_$product(rat_-13/2, rat_-2/13) = rat_1 & % 10.91/2.20 rat_$product(rat_-13/2, rat_-13/2) = rat_169/4 & rat_$product(rat_-13/2, % 10.91/2.20 rat_0) = rat_0 & rat_$product(rat_0, rat_1) = rat_0 & rat_$product(rat_0, % 10.91/2.20 rat_-2/13) = rat_0 & rat_$product(rat_0, rat_169/4) = rat_0 & % 10.91/2.20 rat_$product(rat_0, rat_-13) = rat_0 & rat_$product(rat_0, rat_13/2) = rat_0 & % 10.91/2.20 rat_$product(rat_0, rat_-13/2) = rat_0 & rat_$product(rat_0, rat_0) = rat_0 & % 10.91/2.20 rat_$difference(rat_1, rat_1) = rat_0 & rat_$difference(rat_1, rat_0) = rat_1 % 10.91/2.20 & rat_$difference(rat_-2/13, rat_-2/13) = rat_0 & rat_$difference(rat_-2/13, % 10.91/2.20 rat_0) = rat_-2/13 & rat_$difference(rat_169/4, rat_169/4) = rat_0 & % 10.91/2.20 rat_$difference(rat_169/4, rat_0) = rat_169/4 & rat_$difference(rat_-13, % 10.91/2.20 rat_-13) = rat_0 & rat_$difference(rat_-13, rat_-13/2) = rat_-13/2 & % 10.91/2.20 rat_$difference(rat_-13, rat_0) = rat_-13 & rat_$difference(rat_13/2, % 10.91/2.20 rat_13/2) = rat_0 & rat_$difference(rat_13/2, rat_0) = rat_13/2 & % 10.91/2.20 rat_$difference(rat_-13/2, rat_-13) = rat_13/2 & rat_$difference(rat_-13/2, % 10.91/2.20 rat_13/2) = rat_-13 & rat_$difference(rat_-13/2, rat_-13/2) = rat_0 & % 10.91/2.20 rat_$difference(rat_-13/2, rat_0) = rat_-13/2 & rat_$difference(rat_0, % 10.91/2.20 rat_13/2) = rat_-13/2 & rat_$difference(rat_0, rat_-13/2) = rat_13/2 & % 10.91/2.20 rat_$difference(rat_0, rat_0) = rat_0 & rat_$uminus(rat_13/2) = rat_-13/2 & % 10.91/2.20 rat_$uminus(rat_-13/2) = rat_13/2 & rat_$uminus(rat_0) = rat_0 & % 10.91/2.20 rat_$sum(rat_1, rat_0) = rat_1 & rat_$sum(rat_-2/13, rat_0) = rat_-2/13 & % 10.91/2.20 rat_$sum(rat_169/4, rat_0) = rat_169/4 & rat_$sum(rat_-13, rat_13/2) = % 10.91/2.21 rat_-13/2 & rat_$sum(rat_-13, rat_0) = rat_-13 & rat_$sum(rat_13/2, rat_-13) = % 10.91/2.21 rat_-13/2 & rat_$sum(rat_13/2, rat_-13/2) = rat_0 & rat_$sum(rat_13/2, rat_0) % 10.91/2.21 = rat_13/2 & rat_$sum(rat_-13/2, rat_13/2) = rat_0 & rat_$sum(rat_-13/2, % 10.91/2.21 rat_-13/2) = rat_-13 & rat_$sum(rat_-13/2, rat_0) = rat_-13/2 & % 10.91/2.21 rat_$sum(rat_0, rat_1) = rat_1 & rat_$sum(rat_0, rat_-2/13) = rat_-2/13 & % 10.91/2.21 rat_$sum(rat_0, rat_169/4) = rat_169/4 & rat_$sum(rat_0, rat_-13) = rat_-13 & % 10.91/2.21 rat_$sum(rat_0, rat_13/2) = rat_13/2 & rat_$sum(rat_0, rat_-13/2) = rat_-13/2 % 10.91/2.21 & rat_$sum(rat_0, rat_0) = rat_0 & rat_$is_rat(rat_1) & rat_$is_rat(rat_-2/13) % 10.91/2.21 & rat_$is_rat(rat_169/4) & rat_$is_rat(rat_-13) & rat_$is_rat(rat_13/2) & % 10.91/2.21 rat_$is_rat(rat_-13/2) & rat_$is_rat(rat_0) & rat_$is_int(rat_1) & % 10.91/2.21 rat_$is_int(rat_-13) & rat_$is_int(rat_0) & rat_$greatereq(rat_1, rat_1) & % 10.91/2.21 rat_$greatereq(rat_1, rat_-2/13) & rat_$greatereq(rat_1, rat_-13) & % 10.91/2.21 rat_$greatereq(rat_1, rat_-13/2) & rat_$greatereq(rat_1, rat_0) & % 10.91/2.21 rat_$greatereq(rat_-2/13, rat_-2/13) & rat_$greatereq(rat_-2/13, rat_-13) & % 10.91/2.21 rat_$greatereq(rat_-2/13, rat_-13/2) & rat_$greatereq(rat_169/4, rat_1) & % 10.91/2.21 rat_$greatereq(rat_169/4, rat_-2/13) & rat_$greatereq(rat_169/4, rat_169/4) & % 10.91/2.21 rat_$greatereq(rat_169/4, rat_-13) & rat_$greatereq(rat_169/4, rat_13/2) & % 10.91/2.21 rat_$greatereq(rat_169/4, rat_-13/2) & rat_$greatereq(rat_169/4, rat_0) & % 10.91/2.21 rat_$greatereq(rat_-13, rat_-13) & rat_$greatereq(rat_13/2, rat_1) & % 10.91/2.21 rat_$greatereq(rat_13/2, rat_-2/13) & rat_$greatereq(rat_13/2, rat_-13) & % 10.91/2.21 rat_$greatereq(rat_13/2, rat_13/2) & rat_$greatereq(rat_13/2, rat_-13/2) & % 10.91/2.21 rat_$greatereq(rat_13/2, rat_0) & rat_$greatereq(rat_-13/2, rat_-13) & % 10.91/2.21 rat_$greatereq(rat_-13/2, rat_-13/2) & rat_$greatereq(rat_0, rat_-2/13) & % 10.91/2.21 rat_$greatereq(rat_0, rat_-13) & rat_$greatereq(rat_0, rat_-13/2) & % 10.91/2.21 rat_$greatereq(rat_0, rat_0) & rat_$greater(rat_very_large, rat_1) & % 10.91/2.21 rat_$greater(rat_very_large, rat_-2/13) & rat_$greater(rat_very_large, % 10.91/2.21 rat_169/4) & rat_$greater(rat_very_large, rat_-13) & % 10.91/2.21 rat_$greater(rat_very_large, rat_13/2) & rat_$greater(rat_very_large, % 10.91/2.21 rat_-13/2) & rat_$greater(rat_very_large, rat_0) & rat_$greater(rat_1, % 10.91/2.21 rat_very_small) & rat_$greater(rat_1, rat_-2/13) & rat_$greater(rat_1, % 10.91/2.21 rat_-13) & rat_$greater(rat_1, rat_-13/2) & rat_$greater(rat_1, rat_0) & % 10.91/2.21 rat_$greater(rat_-2/13, rat_very_small) & rat_$greater(rat_-2/13, rat_-13) & % 10.91/2.21 rat_$greater(rat_-2/13, rat_-13/2) & rat_$greater(rat_169/4, rat_very_small) & % 10.91/2.21 rat_$greater(rat_169/4, rat_1) & rat_$greater(rat_169/4, rat_-2/13) & % 10.91/2.21 rat_$greater(rat_169/4, rat_-13) & rat_$greater(rat_169/4, rat_13/2) & % 10.91/2.21 rat_$greater(rat_169/4, rat_-13/2) & rat_$greater(rat_169/4, rat_0) & % 10.91/2.21 rat_$greater(rat_-13, rat_very_small) & rat_$greater(rat_13/2, rat_very_small) % 10.91/2.21 & rat_$greater(rat_13/2, rat_1) & rat_$greater(rat_13/2, rat_-2/13) & % 10.91/2.21 rat_$greater(rat_13/2, rat_-13) & rat_$greater(rat_13/2, rat_-13/2) & % 10.91/2.21 rat_$greater(rat_13/2, rat_0) & rat_$greater(rat_-13/2, rat_very_small) & % 10.91/2.21 rat_$greater(rat_-13/2, rat_-13) & rat_$greater(rat_0, rat_very_small) & % 10.91/2.21 rat_$greater(rat_0, rat_-2/13) & rat_$greater(rat_0, rat_-13) & % 10.91/2.21 rat_$greater(rat_0, rat_-13/2) & rat_$lesseq(rat_very_small, rat_very_large) & % 10.91/2.21 rat_$lesseq(rat_1, rat_1) & rat_$lesseq(rat_1, rat_169/4) & rat_$lesseq(rat_1, % 10.91/2.21 rat_13/2) & rat_$lesseq(rat_-2/13, rat_1) & rat_$lesseq(rat_-2/13, % 10.91/2.21 rat_-2/13) & rat_$lesseq(rat_-2/13, rat_169/4) & rat_$lesseq(rat_-2/13, % 10.91/2.21 rat_13/2) & rat_$lesseq(rat_-2/13, rat_0) & rat_$lesseq(rat_169/4, % 10.91/2.21 rat_169/4) & rat_$lesseq(rat_-13, rat_1) & rat_$lesseq(rat_-13, rat_-2/13) & % 10.91/2.21 rat_$lesseq(rat_-13, rat_169/4) & rat_$lesseq(rat_-13, rat_-13) & % 10.91/2.21 rat_$lesseq(rat_-13, rat_13/2) & rat_$lesseq(rat_-13, rat_-13/2) & % 10.91/2.21 rat_$lesseq(rat_-13, rat_0) & rat_$lesseq(rat_13/2, rat_169/4) & % 10.91/2.21 rat_$lesseq(rat_13/2, rat_13/2) & rat_$lesseq(rat_-13/2, rat_1) & % 10.91/2.21 rat_$lesseq(rat_-13/2, rat_-2/13) & rat_$lesseq(rat_-13/2, rat_169/4) & % 10.91/2.21 rat_$lesseq(rat_-13/2, rat_13/2) & rat_$lesseq(rat_-13/2, rat_-13/2) & % 10.91/2.21 rat_$lesseq(rat_-13/2, rat_0) & rat_$lesseq(rat_0, rat_1) & rat_$lesseq(rat_0, % 10.91/2.21 rat_169/4) & rat_$lesseq(rat_0, rat_13/2) & rat_$lesseq(rat_0, rat_0) & % 10.91/2.21 rat_$less(rat_very_small, rat_very_large) & rat_$less(rat_very_small, rat_1) & % 10.91/2.21 rat_$less(rat_very_small, rat_-2/13) & rat_$less(rat_very_small, rat_169/4) & % 10.91/2.21 rat_$less(rat_very_small, rat_-13) & rat_$less(rat_very_small, rat_13/2) & % 10.91/2.21 rat_$less(rat_very_small, rat_-13/2) & rat_$less(rat_very_small, rat_0) & % 10.91/2.21 rat_$less(rat_1, rat_very_large) & rat_$less(rat_1, rat_169/4) & % 10.91/2.21 rat_$less(rat_1, rat_13/2) & rat_$less(rat_-2/13, rat_very_large) & % 10.91/2.21 rat_$less(rat_-2/13, rat_1) & rat_$less(rat_-2/13, rat_169/4) & % 10.91/2.21 rat_$less(rat_-2/13, rat_13/2) & rat_$less(rat_-2/13, rat_0) & % 10.91/2.21 rat_$less(rat_169/4, rat_very_large) & rat_$less(rat_-13, rat_very_large) & % 10.91/2.21 rat_$less(rat_-13, rat_1) & rat_$less(rat_-13, rat_-2/13) & rat_$less(rat_-13, % 10.91/2.21 rat_169/4) & rat_$less(rat_-13, rat_13/2) & rat_$less(rat_-13, rat_-13/2) & % 10.91/2.21 rat_$less(rat_-13, rat_0) & rat_$less(rat_13/2, rat_very_large) & % 10.91/2.21 rat_$less(rat_13/2, rat_169/4) & rat_$less(rat_-13/2, rat_very_large) & % 10.91/2.21 rat_$less(rat_-13/2, rat_1) & rat_$less(rat_-13/2, rat_-2/13) & % 10.91/2.21 rat_$less(rat_-13/2, rat_169/4) & rat_$less(rat_-13/2, rat_13/2) & % 10.91/2.21 rat_$less(rat_-13/2, rat_0) & rat_$less(rat_0, rat_very_large) & % 10.91/2.21 rat_$less(rat_0, rat_1) & rat_$less(rat_0, rat_169/4) & rat_$less(rat_0, % 10.91/2.21 rat_13/2) & ~ rat_$is_int(rat_-2/13) & ~ rat_$is_int(rat_169/4) & ~ % 10.91/2.21 rat_$is_int(rat_13/2) & ~ rat_$is_int(rat_-13/2) & ~ % 10.91/2.21 rat_$greatereq(rat_very_small, rat_very_large) & ~ rat_$greatereq(rat_1, % 10.91/2.21 rat_169/4) & ~ rat_$greatereq(rat_1, rat_13/2) & ~ % 10.91/2.21 rat_$greatereq(rat_-2/13, rat_1) & ~ rat_$greatereq(rat_-2/13, rat_169/4) & % 10.91/2.21 ~ rat_$greatereq(rat_-2/13, rat_13/2) & ~ rat_$greatereq(rat_-2/13, rat_0) & % 10.91/2.21 ~ rat_$greatereq(rat_-13, rat_1) & ~ rat_$greatereq(rat_-13, rat_-2/13) & ~ % 10.91/2.21 rat_$greatereq(rat_-13, rat_169/4) & ~ rat_$greatereq(rat_-13, rat_13/2) & ~ % 10.91/2.21 rat_$greatereq(rat_-13, rat_-13/2) & ~ rat_$greatereq(rat_-13, rat_0) & ~ % 10.91/2.21 rat_$greatereq(rat_13/2, rat_169/4) & ~ rat_$greatereq(rat_-13/2, rat_1) & ~ % 10.91/2.21 rat_$greatereq(rat_-13/2, rat_-2/13) & ~ rat_$greatereq(rat_-13/2, rat_169/4) % 10.91/2.21 & ~ rat_$greatereq(rat_-13/2, rat_13/2) & ~ rat_$greatereq(rat_-13/2, rat_0) % 10.91/2.21 & ~ rat_$greatereq(rat_0, rat_1) & ~ rat_$greatereq(rat_0, rat_169/4) & ~ % 10.91/2.21 rat_$greatereq(rat_0, rat_13/2) & ~ rat_$greater(rat_very_small, % 10.91/2.21 rat_very_large) & ~ rat_$greater(rat_1, rat_1) & ~ rat_$greater(rat_1, % 10.91/2.21 rat_169/4) & ~ rat_$greater(rat_1, rat_13/2) & ~ rat_$greater(rat_-2/13, % 10.91/2.21 rat_1) & ~ rat_$greater(rat_-2/13, rat_-2/13) & ~ rat_$greater(rat_-2/13, % 10.91/2.21 rat_169/4) & ~ rat_$greater(rat_-2/13, rat_13/2) & ~ % 10.91/2.21 rat_$greater(rat_-2/13, rat_0) & ~ rat_$greater(rat_169/4, rat_169/4) & ~ % 10.91/2.21 rat_$greater(rat_-13, rat_1) & ~ rat_$greater(rat_-13, rat_-2/13) & ~ % 10.91/2.21 rat_$greater(rat_-13, rat_169/4) & ~ rat_$greater(rat_-13, rat_-13) & ~ % 10.91/2.21 rat_$greater(rat_-13, rat_13/2) & ~ rat_$greater(rat_-13, rat_-13/2) & ~ % 10.91/2.21 rat_$greater(rat_-13, rat_0) & ~ rat_$greater(rat_13/2, rat_169/4) & ~ % 10.91/2.21 rat_$greater(rat_13/2, rat_13/2) & ~ rat_$greater(rat_-13/2, rat_1) & ~ % 10.91/2.21 rat_$greater(rat_-13/2, rat_-2/13) & ~ rat_$greater(rat_-13/2, rat_169/4) & % 10.91/2.21 ~ rat_$greater(rat_-13/2, rat_13/2) & ~ rat_$greater(rat_-13/2, rat_-13/2) & % 10.91/2.21 ~ rat_$greater(rat_-13/2, rat_0) & ~ rat_$greater(rat_0, rat_1) & ~ % 10.91/2.21 rat_$greater(rat_0, rat_169/4) & ~ rat_$greater(rat_0, rat_13/2) & ~ % 10.91/2.21 rat_$greater(rat_0, rat_0) & ~ rat_$lesseq(rat_1, rat_-2/13) & ~ % 10.91/2.21 rat_$lesseq(rat_1, rat_-13) & ~ rat_$lesseq(rat_1, rat_-13/2) & ~ % 10.91/2.21 rat_$lesseq(rat_1, rat_0) & ~ rat_$lesseq(rat_-2/13, rat_-13) & ~ % 10.91/2.21 rat_$lesseq(rat_-2/13, rat_-13/2) & ~ rat_$lesseq(rat_169/4, rat_1) & ~ % 10.91/2.21 rat_$lesseq(rat_169/4, rat_-2/13) & ~ rat_$lesseq(rat_169/4, rat_-13) & ~ % 10.91/2.21 rat_$lesseq(rat_169/4, rat_13/2) & ~ rat_$lesseq(rat_169/4, rat_-13/2) & ~ % 10.91/2.21 rat_$lesseq(rat_169/4, rat_0) & ~ rat_$lesseq(rat_13/2, rat_1) & ~ % 10.91/2.21 rat_$lesseq(rat_13/2, rat_-2/13) & ~ rat_$lesseq(rat_13/2, rat_-13) & ~ % 10.91/2.21 rat_$lesseq(rat_13/2, rat_-13/2) & ~ rat_$lesseq(rat_13/2, rat_0) & ~ % 10.91/2.21 rat_$lesseq(rat_-13/2, rat_-13) & ~ rat_$lesseq(rat_0, rat_-2/13) & ~ % 10.91/2.21 rat_$lesseq(rat_0, rat_-13) & ~ rat_$lesseq(rat_0, rat_-13/2) & ~ % 10.91/2.21 rat_$less(rat_1, rat_1) & ~ rat_$less(rat_1, rat_-2/13) & ~ rat_$less(rat_1, % 10.91/2.21 rat_-13) & ~ rat_$less(rat_1, rat_-13/2) & ~ rat_$less(rat_1, rat_0) & ~ % 10.91/2.21 rat_$less(rat_-2/13, rat_-2/13) & ~ rat_$less(rat_-2/13, rat_-13) & ~ % 10.91/2.21 rat_$less(rat_-2/13, rat_-13/2) & ~ rat_$less(rat_169/4, rat_1) & ~ % 10.91/2.21 rat_$less(rat_169/4, rat_-2/13) & ~ rat_$less(rat_169/4, rat_169/4) & ~ % 10.91/2.21 rat_$less(rat_169/4, rat_-13) & ~ rat_$less(rat_169/4, rat_13/2) & ~ % 10.91/2.21 rat_$less(rat_169/4, rat_-13/2) & ~ rat_$less(rat_169/4, rat_0) & ~ % 10.91/2.21 rat_$less(rat_-13, rat_-13) & ~ rat_$less(rat_13/2, rat_1) & ~ % 10.91/2.21 rat_$less(rat_13/2, rat_-2/13) & ~ rat_$less(rat_13/2, rat_-13) & ~ % 10.91/2.21 rat_$less(rat_13/2, rat_13/2) & ~ rat_$less(rat_13/2, rat_-13/2) & ~ % 10.91/2.21 rat_$less(rat_13/2, rat_0) & ~ rat_$less(rat_-13/2, rat_-13) & ~ % 10.91/2.21 rat_$less(rat_-13/2, rat_-13/2) & ~ rat_$less(rat_0, rat_-2/13) & ~ % 10.91/2.21 rat_$less(rat_0, rat_-13) & ~ rat_$less(rat_0, rat_-13/2) & ~ % 10.91/2.21 rat_$less(rat_0, rat_0) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! % 10.91/2.21 [v3: $rat] : ! [v4: $rat] : ( ~ (rat_$sum(v3, v0) = v4) | ~ (rat_$sum(v2, % 10.91/2.21 v1) = v3) | ? [v5: $rat] : (rat_$sum(v2, v5) = v4 & rat_$sum(v1, v0) = % 10.91/2.21 v5)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : (v3 % 10.91/2.21 = v1 | v0 = rat_0 | ~ (rat_$quotient(v2, v0) = v3) | ~ (rat_$product(v1, % 10.91/2.21 v0) = v2)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: % 10.91/2.21 $rat] : ( ~ (rat_$uminus(v0) = v2) | ~ (rat_$sum(v1, v2) = v3) | % 10.91/2.21 rat_$difference(v1, v0) = v3) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: % 10.91/2.21 $rat] : (v2 = rat_0 | ~ (rat_$uminus(v0) = v1) | ~ (rat_$sum(v0, v1) = % 10.91/2.21 v2)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ % 10.91/2.21 (rat_$product(v0, v1) = v2) | rat_$product(v1, v0) = v2) & ! [v0: $rat] : % 10.91/2.21 ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$sum(v0, v1) = v2) | rat_$sum(v1, v0) % 10.91/2.21 = v2) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ rat_$lesseq(v2, % 10.91/2.21 v1) | ~ rat_$lesseq(v1, v0) | rat_$lesseq(v2, v0)) & ! [v0: $rat] : ! % 10.91/2.21 [v1: $rat] : ! [v2: $rat] : ( ~ rat_$lesseq(v2, v1) | ~ rat_$less(v1, v0) | % 10.91/2.21 rat_$less(v2, v0)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ % 10.91/2.21 rat_$lesseq(v1, v0) | ~ rat_$less(v2, v1) | rat_$less(v2, v0)) & ! [v0: % 10.91/2.21 $rat] : ! [v1: $rat] : (v1 = v0 | ~ (rat_$sum(v0, rat_0) = v1)) & ! [v0: % 10.91/2.21 $rat] : ! [v1: $rat] : (v1 = v0 | ~ rat_$lesseq(v1, v0) | rat_$less(v1, % 10.91/2.21 v0)) & ! [v0: $rat] : ! [v1: $rat] : ( ~ (rat_$uminus(v0) = v1) | % 10.91/2.21 rat_$uminus(v1) = v0) & ! [v0: $rat] : ! [v1: $rat] : ( ~ % 10.91/2.21 rat_$greatereq(v0, v1) | rat_$lesseq(v1, v0)) & ! [v0: $rat] : ! [v1: % 10.91/2.21 $rat] : ( ~ rat_$greater(v0, v1) | rat_$less(v1, v0)) & ! [v0: $rat] : ! % 10.91/2.22 [v1: $rat] : ( ~ rat_$lesseq(v1, v0) | rat_$greatereq(v0, v1)) & ! [v0: $rat] % 10.91/2.22 : ! [v1: $rat] : ( ~ rat_$less(v1, v0) | rat_$greater(v0, v1)) & ! [v0: % 10.91/2.22 $rat] : ! [v1: $rat] : ( ~ rat_$less(v1, v0) | rat_$lesseq(v1, v0)) & ! % 10.91/2.22 [v0: $rat] : (v0 = rat_0 | ~ (rat_$uminus(v0) = v0)) & ? [v0: $rat] : % 10.91/2.22 rat_$lesseq(v0, v0) % 10.91/2.22 % 10.91/2.22 Those formulas are unsatisfiable: % 10.91/2.22 --------------------------------- % 10.91/2.22 % 10.91/2.22 Begin of proof % 10.91/2.22 | % 10.91/2.22 | ALPHA: (input) implies: % 10.91/2.22 | (1) rat_$less(rat_-13, rat_-13/2) % 10.91/2.22 | (2) rat_$sum(rat_-13/2, rat_-13/2) = rat_-13 % 10.91/2.22 | % 10.91/2.22 | GROUND_INST: instantiating (rat_combined_problem_8) with rat_-13/2, rat_-13, % 10.91/2.22 | simplifying with (1), (2) gives: % 10.91/2.22 | (3) $false % 10.91/2.22 | % 10.91/2.22 | CLOSE: (3) is inconsistent. % 10.91/2.22 | % 10.91/2.22 End of proof % 10.91/2.22 % SZS output end Proof for theBenchmark % 10.91/2.22 % 10.91/2.22 1623ms %------------------------------------------------------------------------------