%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ARI493_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 : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Aug 30 17:48:09 EDT 2023 % Result : Theorem 8.24s 1.80s % Output : Proof 10.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : ARI493_1 : TPTP v8.1.2. Released v5.0.0. % 0.12/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n006.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 18:21:36 EDT 2023 % 0.13/0.34 % CPUTime : % 0.19/0.61 ________ _____ % 0.19/0.61 ___ __ \_________(_)________________________________ % 0.19/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.61 % 0.19/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.61 (2023-06-19) % 0.19/0.61 % 0.19/0.61 (c) Philipp Rümmer, 2009-2023 % 0.19/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.61 Amanda Stjerna. % 0.19/0.61 Free software under BSD-3-Clause. % 0.19/0.61 % 0.19/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.61 % 0.19/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.19/0.62 Running up to 7 provers in parallel. % 0.19/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.27/0.89 Prover 5: Warning: Problem contains reals, using incomplete axiomatisation % 1.27/0.89 Prover 1: Warning: Problem contains reals, using incomplete axiomatisation % 1.27/0.89 Prover 0: Warning: Problem contains reals, using incomplete axiomatisation % 1.27/0.89 Prover 2: Warning: Problem contains reals, using incomplete axiomatisation % 1.27/0.89 Prover 6: Warning: Problem contains reals, using incomplete axiomatisation % 1.27/0.89 Prover 3: Warning: Problem contains reals, using incomplete axiomatisation % 1.27/0.89 Prover 4: Warning: Problem contains reals, using incomplete axiomatisation % 2.28/0.99 Prover 1: Preprocessing ... % 2.28/0.99 Prover 4: Preprocessing ... % 2.28/1.04 Prover 2: Preprocessing ... % 2.28/1.04 Prover 3: Preprocessing ... % 2.28/1.04 Prover 0: Preprocessing ... % 2.28/1.04 Prover 5: Preprocessing ... % 2.28/1.05 Prover 6: Preprocessing ... % 5.76/1.49 Prover 1: Constructing countermodel ... % 6.02/1.49 Prover 6: Proving ... % 6.02/1.51 Prover 4: Constructing countermodel ... % 6.02/1.53 Prover 0: Proving ... % 6.39/1.56 Prover 3: Constructing countermodel ... % 6.39/1.59 Prover 2: Proving ... % 7.30/1.68 Prover 5: Proving ... % 7.30/1.73 Prover 1: gave up % 7.30/1.73 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 7.30/1.73 Prover 7: Warning: Problem contains reals, using incomplete axiomatisation % 7.99/1.77 Prover 7: Preprocessing ... % 8.24/1.80 Prover 2: proved (1171ms) % 8.24/1.80 % 8.24/1.80 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 8.24/1.80 % 8.24/1.80 Prover 3: stopped % 8.24/1.82 Prover 5: stopped % 8.24/1.82 Prover 0: stopped % 8.55/1.83 Prover 6: stopped % 8.55/1.85 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 8.55/1.85 Prover 8: Warning: Problem contains reals, using incomplete axiomatisation % 8.55/1.85 Prover 8: Preprocessing ... % 8.55/1.85 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 8.55/1.85 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 8.55/1.85 Prover 10: Warning: Problem contains reals, using incomplete axiomatisation % 8.55/1.85 Prover 11: Warning: Problem contains reals, using incomplete axiomatisation % 8.55/1.85 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 8.55/1.85 Prover 13: Warning: Problem contains reals, using incomplete axiomatisation % 8.55/1.85 Prover 10: Preprocessing ... % 8.55/1.85 Prover 11: Preprocessing ... % 8.55/1.85 Prover 13: Preprocessing ... % 8.55/1.85 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 8.55/1.85 Prover 16: Warning: Problem contains reals, using incomplete axiomatisation % 8.55/1.86 Prover 16: Preprocessing ... % 8.55/1.91 Prover 7: Warning: ignoring some quantifiers % 8.86/1.92 Prover 7: Constructing countermodel ... % 8.86/1.95 Prover 8: Warning: ignoring some quantifiers % 8.86/1.97 Prover 13: Warning: ignoring some quantifiers % 8.86/1.97 Prover 8: Constructing countermodel ... % 8.86/1.98 Prover 13: Constructing countermodel ... % 9.62/1.98 Prover 10: Warning: ignoring some quantifiers % 9.62/2.01 Prover 10: Constructing countermodel ... % 10.17/2.07 Prover 16: Warning: ignoring some quantifiers % 10.17/2.08 Prover 11: Constructing countermodel ... % 10.17/2.09 Prover 16: Constructing countermodel ... % 10.17/2.10 Prover 10: Found proof (size 3) % 10.17/2.10 Prover 10: proved (277ms) % 10.17/2.10 Prover 8: stopped % 10.17/2.10 Prover 13: stopped % 10.17/2.10 Prover 7: Found proof (size 3) % 10.17/2.10 Prover 7: proved (364ms) % 10.17/2.10 Prover 4: stopped % 10.17/2.10 Prover 11: stopped % 10.17/2.10 Prover 16: stopped % 10.17/2.10 % 10.17/2.10 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 10.17/2.10 % 10.17/2.10 % SZS output start Proof for theBenchmark % 10.17/2.10 Assumptions after simplification: % 10.17/2.10 --------------------------------- % 10.17/2.10 % 10.17/2.10 (real_combined_problem_8) % 10.56/2.12 ! [v0: $real] : ! [v1: $real] : ( ~ (real_$sum(v0, v0) = v1) | ~ % 10.56/2.12 real_$less(v1, real_-13/2)) % 10.56/2.12 % 10.56/2.12 (input) % 10.75/2.16 ~ (real_very_large = real_very_small) & ~ (real_very_large = real_1) & ~ % 10.75/2.16 (real_very_large = real_-2/13) & ~ (real_very_large = real_169/4) & ~ % 10.75/2.16 (real_very_large = real_-13) & ~ (real_very_large = real_13/2) & ~ % 10.75/2.16 (real_very_large = real_-13/2) & ~ (real_very_large = real_0) & ~ % 10.75/2.16 (real_very_small = real_1) & ~ (real_very_small = real_-2/13) & ~ % 10.75/2.16 (real_very_small = real_169/4) & ~ (real_very_small = real_-13) & ~ % 10.75/2.16 (real_very_small = real_13/2) & ~ (real_very_small = real_-13/2) & ~ % 10.75/2.16 (real_very_small = real_0) & ~ (real_1 = real_-2/13) & ~ (real_1 = % 10.75/2.16 real_169/4) & ~ (real_1 = real_-13) & ~ (real_1 = real_13/2) & ~ (real_1 % 10.75/2.16 = real_-13/2) & ~ (real_1 = real_0) & ~ (real_-2/13 = real_169/4) & ~ % 10.75/2.16 (real_-2/13 = real_-13) & ~ (real_-2/13 = real_13/2) & ~ (real_-2/13 = % 10.75/2.16 real_-13/2) & ~ (real_-2/13 = real_0) & ~ (real_169/4 = real_-13) & ~ % 10.75/2.16 (real_169/4 = real_13/2) & ~ (real_169/4 = real_-13/2) & ~ (real_169/4 = % 10.75/2.16 real_0) & ~ (real_-13 = real_13/2) & ~ (real_-13 = real_-13/2) & ~ % 10.75/2.16 (real_-13 = real_0) & ~ (real_13/2 = real_-13/2) & ~ (real_13/2 = real_0) & % 10.75/2.16 ~ (real_-13/2 = real_0) & real_$floor(real_1) = real_1 & real_$floor(real_-13) % 10.75/2.16 = real_-13 & real_$floor(real_0) = real_0 & real_$ceiling(real_1) = real_1 & % 10.75/2.16 real_$ceiling(real_-2/13) = real_0 & real_$ceiling(real_-13) = real_-13 & % 10.75/2.16 real_$ceiling(real_0) = real_0 & real_$truncate(real_1) = real_1 & % 10.75/2.16 real_$truncate(real_-2/13) = real_0 & real_$truncate(real_-13) = real_-13 & % 10.75/2.16 real_$truncate(real_0) = real_0 & real_$round(real_1) = real_1 & % 10.75/2.16 real_$round(real_-2/13) = real_0 & real_$round(real_-13) = real_-13 & % 10.75/2.16 real_$round(real_0) = real_0 & real_$to_int(real_1) = 1 & % 10.75/2.16 real_$to_int(real_-2/13) = -1 & real_$to_int(real_169/4) = 42 & % 10.75/2.16 real_$to_int(real_-13) = -13 & real_$to_int(real_13/2) = 6 & % 10.75/2.16 real_$to_int(real_-13/2) = -7 & real_$to_int(real_0) = 0 & % 10.75/2.16 real_$to_rat(real_1) = rat_1 & real_$to_rat(real_-2/13) = rat_-2/13 & % 10.75/2.16 real_$to_rat(real_169/4) = rat_169/4 & real_$to_rat(real_-13) = rat_-13 & % 10.75/2.16 real_$to_rat(real_13/2) = rat_13/2 & real_$to_rat(real_-13/2) = rat_-13/2 & % 10.75/2.16 real_$to_rat(real_0) = rat_0 & real_$to_real(real_1) = real_1 & % 10.75/2.16 real_$to_real(real_-2/13) = real_-2/13 & real_$to_real(real_169/4) = % 10.75/2.16 real_169/4 & real_$to_real(real_-13) = real_-13 & real_$to_real(real_13/2) = % 10.75/2.16 real_13/2 & real_$to_real(real_-13/2) = real_-13/2 & real_$to_real(real_0) = % 10.75/2.16 real_0 & int_$to_real(-13) = real_-13 & int_$to_real(1) = real_1 & % 10.75/2.16 int_$to_real(0) = real_0 & real_$quotient(real_1, real_1) = real_1 & % 10.75/2.16 real_$quotient(real_1, real_-2/13) = real_-13/2 & real_$quotient(real_1, % 10.75/2.16 real_-13/2) = real_-2/13 & real_$quotient(real_-2/13, real_1) = real_-2/13 & % 10.75/2.16 real_$quotient(real_-2/13, real_-2/13) = real_1 & real_$quotient(real_169/4, % 10.75/2.16 real_1) = real_169/4 & real_$quotient(real_169/4, real_169/4) = real_1 & % 10.75/2.16 real_$quotient(real_169/4, real_13/2) = real_13/2 & real_$quotient(real_169/4, % 10.75/2.16 real_-13/2) = real_-13/2 & real_$quotient(real_-13, real_1) = real_-13 & % 10.75/2.16 real_$quotient(real_-13, real_-13) = real_1 & real_$quotient(real_13/2, % 10.75/2.16 real_1) = real_13/2 & real_$quotient(real_13/2, real_13/2) = real_1 & % 10.75/2.16 real_$quotient(real_-13/2, real_1) = real_-13/2 & real_$quotient(real_-13/2, % 10.75/2.16 real_-2/13) = real_169/4 & real_$quotient(real_-13/2, real_169/4) = % 10.75/2.16 real_-2/13 & real_$quotient(real_-13/2, real_-13/2) = real_1 & % 10.75/2.16 real_$quotient(real_0, real_1) = real_0 & real_$quotient(real_0, real_-2/13) = % 10.75/2.16 real_0 & real_$quotient(real_0, real_169/4) = real_0 & real_$quotient(real_0, % 10.75/2.16 real_-13) = real_0 & real_$quotient(real_0, real_13/2) = real_0 & % 10.75/2.16 real_$quotient(real_0, real_-13/2) = real_0 & real_$product(real_1, real_1) = % 10.75/2.16 real_1 & real_$product(real_1, real_-2/13) = real_-2/13 & % 10.75/2.16 real_$product(real_1, real_169/4) = real_169/4 & real_$product(real_1, % 10.75/2.16 real_-13) = real_-13 & real_$product(real_1, real_13/2) = real_13/2 & % 10.75/2.16 real_$product(real_1, real_-13/2) = real_-13/2 & real_$product(real_1, real_0) % 10.75/2.16 = real_0 & real_$product(real_-2/13, real_1) = real_-2/13 & % 10.75/2.16 real_$product(real_-2/13, real_169/4) = real_-13/2 & real_$product(real_-2/13, % 10.75/2.16 real_-13/2) = real_1 & real_$product(real_-2/13, real_0) = real_0 & % 10.75/2.16 real_$product(real_169/4, real_1) = real_169/4 & real_$product(real_169/4, % 10.75/2.16 real_-2/13) = real_-13/2 & real_$product(real_169/4, real_0) = real_0 & % 10.75/2.16 real_$product(real_-13, real_1) = real_-13 & real_$product(real_-13, real_0) = % 10.75/2.16 real_0 & real_$product(real_13/2, real_1) = real_13/2 & % 10.75/2.16 real_$product(real_13/2, real_13/2) = real_169/4 & real_$product(real_13/2, % 10.75/2.16 real_0) = real_0 & real_$product(real_-13/2, real_1) = real_-13/2 & % 10.75/2.16 real_$product(real_-13/2, real_-2/13) = real_1 & real_$product(real_-13/2, % 10.75/2.16 real_-13/2) = real_169/4 & real_$product(real_-13/2, real_0) = real_0 & % 10.75/2.16 real_$product(real_0, real_1) = real_0 & real_$product(real_0, real_-2/13) = % 10.75/2.16 real_0 & real_$product(real_0, real_169/4) = real_0 & real_$product(real_0, % 10.75/2.16 real_-13) = real_0 & real_$product(real_0, real_13/2) = real_0 & % 10.75/2.16 real_$product(real_0, real_-13/2) = real_0 & real_$product(real_0, real_0) = % 10.75/2.16 real_0 & real_$difference(real_1, real_1) = real_0 & real_$difference(real_1, % 10.75/2.16 real_0) = real_1 & real_$difference(real_-2/13, real_-2/13) = real_0 & % 10.75/2.16 real_$difference(real_-2/13, real_0) = real_-2/13 & % 10.75/2.16 real_$difference(real_169/4, real_169/4) = real_0 & % 10.75/2.16 real_$difference(real_169/4, real_0) = real_169/4 & real_$difference(real_-13, % 10.75/2.16 real_-13) = real_0 & real_$difference(real_-13, real_-13/2) = real_-13/2 & % 10.75/2.16 real_$difference(real_-13, real_0) = real_-13 & real_$difference(real_13/2, % 10.75/2.16 real_13/2) = real_0 & real_$difference(real_13/2, real_0) = real_13/2 & % 10.75/2.16 real_$difference(real_-13/2, real_-13) = real_13/2 & % 10.75/2.16 real_$difference(real_-13/2, real_13/2) = real_-13 & % 10.75/2.16 real_$difference(real_-13/2, real_-13/2) = real_0 & % 10.75/2.16 real_$difference(real_-13/2, real_0) = real_-13/2 & real_$difference(real_0, % 10.75/2.16 real_13/2) = real_-13/2 & real_$difference(real_0, real_-13/2) = real_13/2 & % 10.75/2.16 real_$difference(real_0, real_0) = real_0 & real_$uminus(real_13/2) = % 10.75/2.16 real_-13/2 & real_$uminus(real_-13/2) = real_13/2 & real_$uminus(real_0) = % 10.75/2.16 real_0 & real_$sum(real_1, real_0) = real_1 & real_$sum(real_-2/13, real_0) = % 10.75/2.16 real_-2/13 & real_$sum(real_169/4, real_0) = real_169/4 & real_$sum(real_-13, % 10.75/2.16 real_13/2) = real_-13/2 & real_$sum(real_-13, real_0) = real_-13 & % 10.75/2.16 real_$sum(real_13/2, real_-13) = real_-13/2 & real_$sum(real_13/2, real_-13/2) % 10.75/2.16 = real_0 & real_$sum(real_13/2, real_0) = real_13/2 & real_$sum(real_-13/2, % 10.75/2.16 real_13/2) = real_0 & real_$sum(real_-13/2, real_-13/2) = real_-13 & % 10.75/2.16 real_$sum(real_-13/2, real_0) = real_-13/2 & real_$sum(real_0, real_1) = % 10.75/2.17 real_1 & real_$sum(real_0, real_-2/13) = real_-2/13 & real_$sum(real_0, % 10.75/2.17 real_169/4) = real_169/4 & real_$sum(real_0, real_-13) = real_-13 & % 10.75/2.17 real_$sum(real_0, real_13/2) = real_13/2 & real_$sum(real_0, real_-13/2) = % 10.75/2.17 real_-13/2 & real_$sum(real_0, real_0) = real_0 & real_$is_rat(real_1) & % 10.75/2.17 real_$is_rat(real_-2/13) & real_$is_rat(real_169/4) & real_$is_rat(real_-13) & % 10.75/2.17 real_$is_rat(real_13/2) & real_$is_rat(real_-13/2) & real_$is_rat(real_0) & % 10.75/2.17 real_$is_int(real_1) & real_$is_int(real_-13) & real_$is_int(real_0) & % 10.75/2.17 real_$greatereq(real_1, real_1) & real_$greatereq(real_1, real_-2/13) & % 10.75/2.17 real_$greatereq(real_1, real_-13) & real_$greatereq(real_1, real_-13/2) & % 10.75/2.17 real_$greatereq(real_1, real_0) & real_$greatereq(real_-2/13, real_-2/13) & % 10.75/2.17 real_$greatereq(real_-2/13, real_-13) & real_$greatereq(real_-2/13, % 10.75/2.17 real_-13/2) & real_$greatereq(real_169/4, real_1) & % 10.75/2.17 real_$greatereq(real_169/4, real_-2/13) & real_$greatereq(real_169/4, % 10.75/2.17 real_169/4) & real_$greatereq(real_169/4, real_-13) & % 10.75/2.17 real_$greatereq(real_169/4, real_13/2) & real_$greatereq(real_169/4, % 10.75/2.17 real_-13/2) & real_$greatereq(real_169/4, real_0) & % 10.75/2.17 real_$greatereq(real_-13, real_-13) & real_$greatereq(real_13/2, real_1) & % 10.75/2.17 real_$greatereq(real_13/2, real_-2/13) & real_$greatereq(real_13/2, real_-13) % 10.75/2.17 & real_$greatereq(real_13/2, real_13/2) & real_$greatereq(real_13/2, % 10.75/2.17 real_-13/2) & real_$greatereq(real_13/2, real_0) & % 10.75/2.17 real_$greatereq(real_-13/2, real_-13) & real_$greatereq(real_-13/2, % 10.75/2.17 real_-13/2) & real_$greatereq(real_0, real_-2/13) & real_$greatereq(real_0, % 10.75/2.17 real_-13) & real_$greatereq(real_0, real_-13/2) & real_$greatereq(real_0, % 10.75/2.17 real_0) & real_$greater(real_very_large, real_1) & % 10.75/2.17 real_$greater(real_very_large, real_-2/13) & real_$greater(real_very_large, % 10.75/2.17 real_169/4) & real_$greater(real_very_large, real_-13) & % 10.75/2.17 real_$greater(real_very_large, real_13/2) & real_$greater(real_very_large, % 10.75/2.17 real_-13/2) & real_$greater(real_very_large, real_0) & real_$greater(real_1, % 10.75/2.17 real_very_small) & real_$greater(real_1, real_-2/13) & real_$greater(real_1, % 10.75/2.17 real_-13) & real_$greater(real_1, real_-13/2) & real_$greater(real_1, % 10.75/2.17 real_0) & real_$greater(real_-2/13, real_very_small) & % 10.75/2.17 real_$greater(real_-2/13, real_-13) & real_$greater(real_-2/13, real_-13/2) & % 10.75/2.17 real_$greater(real_169/4, real_very_small) & real_$greater(real_169/4, real_1) % 10.75/2.17 & real_$greater(real_169/4, real_-2/13) & real_$greater(real_169/4, real_-13) % 10.75/2.17 & real_$greater(real_169/4, real_13/2) & real_$greater(real_169/4, real_-13/2) % 10.75/2.17 & real_$greater(real_169/4, real_0) & real_$greater(real_-13, real_very_small) % 10.75/2.17 & real_$greater(real_13/2, real_very_small) & real_$greater(real_13/2, real_1) % 10.75/2.17 & real_$greater(real_13/2, real_-2/13) & real_$greater(real_13/2, real_-13) & % 10.75/2.17 real_$greater(real_13/2, real_-13/2) & real_$greater(real_13/2, real_0) & % 10.75/2.17 real_$greater(real_-13/2, real_very_small) & real_$greater(real_-13/2, % 10.75/2.17 real_-13) & real_$greater(real_0, real_very_small) & real_$greater(real_0, % 10.75/2.17 real_-2/13) & real_$greater(real_0, real_-13) & real_$greater(real_0, % 10.75/2.17 real_-13/2) & real_$lesseq(real_very_small, real_very_large) & % 10.75/2.17 real_$lesseq(real_1, real_1) & real_$lesseq(real_1, real_169/4) & % 10.75/2.17 real_$lesseq(real_1, real_13/2) & real_$lesseq(real_-2/13, real_1) & % 10.75/2.17 real_$lesseq(real_-2/13, real_-2/13) & real_$lesseq(real_-2/13, real_169/4) & % 10.75/2.17 real_$lesseq(real_-2/13, real_13/2) & real_$lesseq(real_-2/13, real_0) & % 10.75/2.17 real_$lesseq(real_169/4, real_169/4) & real_$lesseq(real_-13, real_1) & % 10.75/2.17 real_$lesseq(real_-13, real_-2/13) & real_$lesseq(real_-13, real_169/4) & % 10.75/2.17 real_$lesseq(real_-13, real_-13) & real_$lesseq(real_-13, real_13/2) & % 10.75/2.17 real_$lesseq(real_-13, real_-13/2) & real_$lesseq(real_-13, real_0) & % 10.75/2.17 real_$lesseq(real_13/2, real_169/4) & real_$lesseq(real_13/2, real_13/2) & % 10.75/2.17 real_$lesseq(real_-13/2, real_1) & real_$lesseq(real_-13/2, real_-2/13) & % 10.75/2.17 real_$lesseq(real_-13/2, real_169/4) & real_$lesseq(real_-13/2, real_13/2) & % 10.75/2.17 real_$lesseq(real_-13/2, real_-13/2) & real_$lesseq(real_-13/2, real_0) & % 10.75/2.17 real_$lesseq(real_0, real_1) & real_$lesseq(real_0, real_169/4) & % 10.75/2.17 real_$lesseq(real_0, real_13/2) & real_$lesseq(real_0, real_0) & % 10.75/2.17 real_$less(real_very_small, real_very_large) & real_$less(real_very_small, % 10.75/2.17 real_1) & real_$less(real_very_small, real_-2/13) & % 10.75/2.17 real_$less(real_very_small, real_169/4) & real_$less(real_very_small, % 10.75/2.17 real_-13) & real_$less(real_very_small, real_13/2) & % 10.75/2.17 real_$less(real_very_small, real_-13/2) & real_$less(real_very_small, real_0) % 10.75/2.17 & real_$less(real_1, real_very_large) & real_$less(real_1, real_169/4) & % 10.75/2.17 real_$less(real_1, real_13/2) & real_$less(real_-2/13, real_very_large) & % 10.75/2.17 real_$less(real_-2/13, real_1) & real_$less(real_-2/13, real_169/4) & % 10.75/2.17 real_$less(real_-2/13, real_13/2) & real_$less(real_-2/13, real_0) & % 10.75/2.17 real_$less(real_169/4, real_very_large) & real_$less(real_-13, % 10.75/2.17 real_very_large) & real_$less(real_-13, real_1) & real_$less(real_-13, % 10.75/2.17 real_-2/13) & real_$less(real_-13, real_169/4) & real_$less(real_-13, % 10.75/2.17 real_13/2) & real_$less(real_-13, real_-13/2) & real_$less(real_-13, real_0) % 10.75/2.17 & real_$less(real_13/2, real_very_large) & real_$less(real_13/2, real_169/4) & % 10.75/2.17 real_$less(real_-13/2, real_very_large) & real_$less(real_-13/2, real_1) & % 10.75/2.17 real_$less(real_-13/2, real_-2/13) & real_$less(real_-13/2, real_169/4) & % 10.75/2.17 real_$less(real_-13/2, real_13/2) & real_$less(real_-13/2, real_0) & % 10.75/2.17 real_$less(real_0, real_very_large) & real_$less(real_0, real_1) & % 10.75/2.17 real_$less(real_0, real_169/4) & real_$less(real_0, real_13/2) & ~ % 10.75/2.17 real_$is_int(real_-2/13) & ~ real_$is_int(real_169/4) & ~ % 10.75/2.17 real_$is_int(real_13/2) & ~ real_$is_int(real_-13/2) & ~ % 10.75/2.17 real_$greatereq(real_very_small, real_very_large) & ~ real_$greatereq(real_1, % 10.75/2.17 real_169/4) & ~ real_$greatereq(real_1, real_13/2) & ~ % 10.75/2.17 real_$greatereq(real_-2/13, real_1) & ~ real_$greatereq(real_-2/13, % 10.75/2.17 real_169/4) & ~ real_$greatereq(real_-2/13, real_13/2) & ~ % 10.75/2.17 real_$greatereq(real_-2/13, real_0) & ~ real_$greatereq(real_-13, real_1) & % 10.75/2.17 ~ real_$greatereq(real_-13, real_-2/13) & ~ real_$greatereq(real_-13, % 10.75/2.17 real_169/4) & ~ real_$greatereq(real_-13, real_13/2) & ~ % 10.75/2.17 real_$greatereq(real_-13, real_-13/2) & ~ real_$greatereq(real_-13, real_0) & % 10.75/2.17 ~ real_$greatereq(real_13/2, real_169/4) & ~ real_$greatereq(real_-13/2, % 10.75/2.17 real_1) & ~ real_$greatereq(real_-13/2, real_-2/13) & ~ % 10.75/2.17 real_$greatereq(real_-13/2, real_169/4) & ~ real_$greatereq(real_-13/2, % 10.75/2.17 real_13/2) & ~ real_$greatereq(real_-13/2, real_0) & ~ % 10.75/2.17 real_$greatereq(real_0, real_1) & ~ real_$greatereq(real_0, real_169/4) & ~ % 10.75/2.17 real_$greatereq(real_0, real_13/2) & ~ real_$greater(real_very_small, % 10.75/2.17 real_very_large) & ~ real_$greater(real_1, real_1) & ~ % 10.75/2.17 real_$greater(real_1, real_169/4) & ~ real_$greater(real_1, real_13/2) & ~ % 10.75/2.17 real_$greater(real_-2/13, real_1) & ~ real_$greater(real_-2/13, real_-2/13) & % 10.75/2.17 ~ real_$greater(real_-2/13, real_169/4) & ~ real_$greater(real_-2/13, % 10.75/2.17 real_13/2) & ~ real_$greater(real_-2/13, real_0) & ~ % 10.75/2.17 real_$greater(real_169/4, real_169/4) & ~ real_$greater(real_-13, real_1) & % 10.75/2.17 ~ real_$greater(real_-13, real_-2/13) & ~ real_$greater(real_-13, real_169/4) % 10.75/2.17 & ~ real_$greater(real_-13, real_-13) & ~ real_$greater(real_-13, real_13/2) % 10.75/2.17 & ~ real_$greater(real_-13, real_-13/2) & ~ real_$greater(real_-13, real_0) % 10.75/2.17 & ~ real_$greater(real_13/2, real_169/4) & ~ real_$greater(real_13/2, % 10.75/2.17 real_13/2) & ~ real_$greater(real_-13/2, real_1) & ~ % 10.75/2.17 real_$greater(real_-13/2, real_-2/13) & ~ real_$greater(real_-13/2, % 10.75/2.17 real_169/4) & ~ real_$greater(real_-13/2, real_13/2) & ~ % 10.75/2.17 real_$greater(real_-13/2, real_-13/2) & ~ real_$greater(real_-13/2, real_0) & % 10.75/2.17 ~ real_$greater(real_0, real_1) & ~ real_$greater(real_0, real_169/4) & ~ % 10.75/2.17 real_$greater(real_0, real_13/2) & ~ real_$greater(real_0, real_0) & ~ % 10.75/2.17 real_$lesseq(real_1, real_-2/13) & ~ real_$lesseq(real_1, real_-13) & ~ % 10.75/2.17 real_$lesseq(real_1, real_-13/2) & ~ real_$lesseq(real_1, real_0) & ~ % 10.75/2.17 real_$lesseq(real_-2/13, real_-13) & ~ real_$lesseq(real_-2/13, real_-13/2) & % 10.75/2.17 ~ real_$lesseq(real_169/4, real_1) & ~ real_$lesseq(real_169/4, real_-2/13) % 10.75/2.17 & ~ real_$lesseq(real_169/4, real_-13) & ~ real_$lesseq(real_169/4, % 10.75/2.17 real_13/2) & ~ real_$lesseq(real_169/4, real_-13/2) & ~ % 10.75/2.17 real_$lesseq(real_169/4, real_0) & ~ real_$lesseq(real_13/2, real_1) & ~ % 10.75/2.17 real_$lesseq(real_13/2, real_-2/13) & ~ real_$lesseq(real_13/2, real_-13) & % 10.75/2.17 ~ real_$lesseq(real_13/2, real_-13/2) & ~ real_$lesseq(real_13/2, real_0) & % 10.75/2.17 ~ real_$lesseq(real_-13/2, real_-13) & ~ real_$lesseq(real_0, real_-2/13) & % 10.75/2.17 ~ real_$lesseq(real_0, real_-13) & ~ real_$lesseq(real_0, real_-13/2) & ~ % 10.75/2.17 real_$less(real_1, real_1) & ~ real_$less(real_1, real_-2/13) & ~ % 10.75/2.17 real_$less(real_1, real_-13) & ~ real_$less(real_1, real_-13/2) & ~ % 10.75/2.17 real_$less(real_1, real_0) & ~ real_$less(real_-2/13, real_-2/13) & ~ % 10.75/2.17 real_$less(real_-2/13, real_-13) & ~ real_$less(real_-2/13, real_-13/2) & ~ % 10.75/2.17 real_$less(real_169/4, real_1) & ~ real_$less(real_169/4, real_-2/13) & ~ % 10.75/2.17 real_$less(real_169/4, real_169/4) & ~ real_$less(real_169/4, real_-13) & ~ % 10.75/2.17 real_$less(real_169/4, real_13/2) & ~ real_$less(real_169/4, real_-13/2) & ~ % 10.75/2.17 real_$less(real_169/4, real_0) & ~ real_$less(real_-13, real_-13) & ~ % 10.75/2.17 real_$less(real_13/2, real_1) & ~ real_$less(real_13/2, real_-2/13) & ~ % 10.75/2.17 real_$less(real_13/2, real_-13) & ~ real_$less(real_13/2, real_13/2) & ~ % 10.75/2.17 real_$less(real_13/2, real_-13/2) & ~ real_$less(real_13/2, real_0) & ~ % 10.75/2.17 real_$less(real_-13/2, real_-13) & ~ real_$less(real_-13/2, real_-13/2) & ~ % 10.75/2.17 real_$less(real_0, real_-2/13) & ~ real_$less(real_0, real_-13) & ~ % 10.75/2.17 real_$less(real_0, real_-13/2) & ~ real_$less(real_0, real_0) & ! [v0: % 10.75/2.17 $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : ! [v4: $real] : % 10.75/2.17 ( ~ (real_$sum(v3, v0) = v4) | ~ (real_$sum(v2, v1) = v3) | ? [v5: $real] : % 10.75/2.17 (real_$sum(v2, v5) = v4 & real_$sum(v1, v0) = v5)) & ! [v0: $real] : ! % 10.75/2.17 [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v3 = v1 | v0 = real_0 | ~ % 10.75/2.17 (real_$quotient(v2, v0) = v3) | ~ (real_$product(v1, v0) = v2)) & ! [v0: % 10.75/2.17 $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : ( ~ % 10.75/2.17 (real_$uminus(v0) = v2) | ~ (real_$sum(v1, v2) = v3) | real_$difference(v1, % 10.75/2.17 v0) = v3) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : (v2 = % 10.75/2.17 real_0 | ~ (real_$uminus(v0) = v1) | ~ (real_$sum(v0, v1) = v2)) & ! [v0: % 10.75/2.17 $real] : ! [v1: $real] : ! [v2: $real] : ( ~ (real_$product(v0, v1) = v2) % 10.75/2.17 | real_$product(v1, v0) = v2) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 10.75/2.17 $real] : ( ~ (real_$sum(v0, v1) = v2) | real_$sum(v1, v0) = v2) & ! [v0: % 10.75/2.17 $real] : ! [v1: $real] : ! [v2: $real] : ( ~ real_$lesseq(v2, v1) | ~ % 10.75/2.17 real_$lesseq(v1, v0) | real_$lesseq(v2, v0)) & ! [v0: $real] : ! [v1: % 10.75/2.17 $real] : ! [v2: $real] : ( ~ real_$lesseq(v2, v1) | ~ real_$less(v1, v0) | % 10.75/2.17 real_$less(v2, v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ( ~ % 10.75/2.18 real_$lesseq(v1, v0) | ~ real_$less(v2, v1) | real_$less(v2, v0)) & ! [v0: % 10.75/2.18 $real] : ! [v1: $real] : (v1 = v0 | ~ (real_$sum(v0, real_0) = v1)) & ! % 10.75/2.18 [v0: $real] : ! [v1: $real] : (v1 = v0 | ~ real_$lesseq(v1, v0) | % 10.75/2.18 real_$less(v1, v0)) & ! [v0: $real] : ! [v1: $real] : ( ~ % 10.75/2.18 (real_$uminus(v0) = v1) | real_$uminus(v1) = v0) & ! [v0: $real] : ! [v1: % 10.75/2.18 $real] : ( ~ real_$greatereq(v0, v1) | real_$lesseq(v1, v0)) & ! [v0: % 10.75/2.18 $real] : ! [v1: $real] : ( ~ real_$greater(v0, v1) | real_$less(v1, v0)) & % 10.75/2.18 ! [v0: $real] : ! [v1: $real] : ( ~ real_$lesseq(v1, v0) | % 10.75/2.18 real_$greatereq(v0, v1)) & ! [v0: $real] : ! [v1: $real] : ( ~ % 10.75/2.18 real_$less(v1, v0) | real_$greater(v0, v1)) & ! [v0: $real] : ! [v1: % 10.75/2.18 $real] : ( ~ real_$less(v1, v0) | real_$lesseq(v1, v0)) & ! [v0: $real] : % 10.75/2.18 (v0 = real_0 | ~ (real_$uminus(v0) = v0)) & ? [v0: $real] : real_$lesseq(v0, % 10.75/2.18 v0) % 10.75/2.18 % 10.75/2.18 Those formulas are unsatisfiable: % 10.75/2.18 --------------------------------- % 10.75/2.18 % 10.75/2.18 Begin of proof % 10.75/2.18 | % 10.75/2.18 | ALPHA: (input) implies: % 10.75/2.18 | (1) real_$less(real_-13, real_-13/2) % 10.75/2.18 | (2) real_$sum(real_-13/2, real_-13/2) = real_-13 % 10.75/2.18 | % 10.75/2.18 | GROUND_INST: instantiating (real_combined_problem_8) with real_-13/2, % 10.75/2.18 | real_-13, simplifying with (1), (2) gives: % 10.75/2.18 | (3) $false % 10.75/2.18 | % 10.75/2.18 | CLOSE: (3) is inconsistent. % 10.75/2.18 | % 10.75/2.18 End of proof % 10.75/2.18 % SZS output end Proof for theBenchmark % 10.75/2.18 % 10.75/2.18 1572ms %------------------------------------------------------------------------------