%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ARI271_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 : n024.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 17:47:31 EDT 2023 % Result : Theorem 8.62s 1.94s % Output : Proof 11.08s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : ARI271_1 : TPTP v8.1.2. Released v5.0.0. % 0.10/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.34 % Computer : n024.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Tue Aug 29 18:29:22 EDT 2023 % 0.14/0.34 % CPUTime : % 0.20/0.64 ________ _____ % 0.20/0.64 ___ __ \_________(_)________________________________ % 0.20/0.64 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.64 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.64 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.64 % 0.20/0.64 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.64 (2023-06-19) % 0.20/0.64 % 0.20/0.64 (c) Philipp Rümmer, 2009-2023 % 0.20/0.64 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.64 Amanda Stjerna. % 0.20/0.64 Free software under BSD-3-Clause. % 0.20/0.64 % 0.20/0.64 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.64 % 0.20/0.64 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.65 Running up to 7 provers in parallel. % 0.20/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.59/0.98 Prover 4: Warning: Problem contains rationals, using incomplete axiomatisation % 1.59/0.98 Prover 1: Warning: Problem contains rationals, using incomplete axiomatisation % 1.59/0.98 Prover 3: Warning: Problem contains rationals, using incomplete axiomatisation % 1.59/0.98 Prover 6: Warning: Problem contains rationals, using incomplete axiomatisation % 1.59/0.98 Prover 5: Warning: Problem contains rationals, using incomplete axiomatisation % 1.59/0.98 Prover 0: Warning: Problem contains rationals, using incomplete axiomatisation % 1.59/0.98 Prover 2: Warning: Problem contains rationals, using incomplete axiomatisation % 2.38/1.06 Prover 1: Preprocessing ... % 2.46/1.06 Prover 4: Preprocessing ... % 2.75/1.12 Prover 2: Preprocessing ... % 2.75/1.12 Prover 6: Preprocessing ... % 2.75/1.12 Prover 3: Preprocessing ... % 2.75/1.13 Prover 5: Preprocessing ... % 2.75/1.13 Prover 0: Preprocessing ... % 6.05/1.58 Prover 6: Proving ... % 6.05/1.58 Prover 1: Constructing countermodel ... % 6.05/1.60 Prover 4: Constructing countermodel ... % 6.05/1.62 Prover 3: Constructing countermodel ... % 6.05/1.63 Prover 0: Proving ... % 6.55/1.65 Prover 2: Proving ... % 6.76/1.72 Prover 5: Proving ... % 8.00/1.85 Prover 1: gave up % 8.00/1.85 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 8.00/1.86 Prover 7: Warning: Problem contains rationals, using incomplete axiomatisation % 8.00/1.87 Prover 7: Preprocessing ... % 8.62/1.93 Prover 5: proved (1271ms) % 8.62/1.93 % 8.62/1.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 8.62/1.94 % 8.62/1.94 Prover 2: proved (1278ms) % 8.62/1.94 % 8.62/1.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 8.62/1.94 % 8.62/1.94 Prover 3: stopped % 8.62/1.94 Prover 6: stopped % 8.62/1.95 Prover 0: stopped % 8.62/1.96 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 8.62/1.96 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 8.62/1.96 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 8.62/1.96 Prover 10: Warning: Problem contains rationals, using incomplete axiomatisation % 8.62/1.96 Prover 8: Warning: Problem contains rationals, using incomplete axiomatisation % 8.62/1.96 Prover 11: Warning: Problem contains rationals, using incomplete axiomatisation % 8.62/1.96 Prover 8: Preprocessing ... % 8.62/1.96 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 8.62/1.96 Prover 13: Warning: Problem contains rationals, using incomplete axiomatisation % 8.62/1.96 Prover 10: Preprocessing ... % 8.62/1.96 Prover 11: Preprocessing ... % 8.62/1.96 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 8.62/1.96 Prover 13: Preprocessing ... % 8.62/1.96 Prover 16: Warning: Problem contains rationals, using incomplete axiomatisation % 8.62/1.99 Prover 16: Preprocessing ... % 9.43/2.04 Prover 7: Warning: ignoring some quantifiers % 9.43/2.05 Prover 7: Constructing countermodel ... % 9.43/2.07 Prover 8: Warning: ignoring some quantifiers % 9.43/2.08 Prover 13: Warning: ignoring some quantifiers % 9.43/2.08 Prover 8: Constructing countermodel ... % 9.43/2.08 Prover 13: Constructing countermodel ... % 9.43/2.11 Prover 10: Warning: ignoring some quantifiers % 9.43/2.12 Prover 10: Constructing countermodel ... % 10.71/2.20 Prover 7: Found proof (size 3) % 10.71/2.20 Prover 7: proved (346ms) % 10.71/2.20 Prover 10: stopped % 10.71/2.20 Prover 8: stopped % 10.71/2.20 Prover 13: stopped % 10.71/2.20 Prover 4: Found proof (size 8) % 10.71/2.20 Prover 4: proved (1542ms) % 10.71/2.21 Prover 16: Warning: ignoring some quantifiers % 10.71/2.21 Prover 16: Constructing countermodel ... % 10.71/2.22 Prover 16: stopped % 10.71/2.22 Prover 11: Constructing countermodel ... % 10.71/2.23 Prover 11: stopped % 10.71/2.24 % 10.71/2.24 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 10.71/2.24 % 10.71/2.24 % SZS output start Proof for theBenchmark % 10.71/2.24 Assumptions after simplification: % 10.71/2.24 --------------------------------- % 10.71/2.24 % 10.71/2.24 (rat_sum_problem_26) % 10.71/2.26 ! [v0: $rat] : ~ (rat_$sum(v0, rat_-12/119) = rat_0) % 10.71/2.26 % 10.71/2.26 (input) % 11.08/2.30 ~ (rat_very_large = rat_very_small) & ~ (rat_very_large = rat_1) & ~ % 11.08/2.30 (rat_very_large = rat_144/14161) & ~ (rat_very_large = rat_-24/119) & ~ % 11.08/2.30 (rat_very_large = rat_-119/12) & ~ (rat_very_large = rat_12/119) & ~ % 11.08/2.30 (rat_very_large = rat_-12/119) & ~ (rat_very_large = rat_0) & ~ % 11.08/2.30 (rat_very_small = rat_1) & ~ (rat_very_small = rat_144/14161) & ~ % 11.08/2.30 (rat_very_small = rat_-24/119) & ~ (rat_very_small = rat_-119/12) & ~ % 11.08/2.30 (rat_very_small = rat_12/119) & ~ (rat_very_small = rat_-12/119) & ~ % 11.08/2.30 (rat_very_small = rat_0) & ~ (rat_1 = rat_144/14161) & ~ (rat_1 = % 11.08/2.30 rat_-24/119) & ~ (rat_1 = rat_-119/12) & ~ (rat_1 = rat_12/119) & ~ % 11.08/2.30 (rat_1 = rat_-12/119) & ~ (rat_1 = rat_0) & ~ (rat_144/14161 = rat_-24/119) % 11.08/2.30 & ~ (rat_144/14161 = rat_-119/12) & ~ (rat_144/14161 = rat_12/119) & ~ % 11.08/2.30 (rat_144/14161 = rat_-12/119) & ~ (rat_144/14161 = rat_0) & ~ (rat_-24/119 = % 11.08/2.30 rat_-119/12) & ~ (rat_-24/119 = rat_12/119) & ~ (rat_-24/119 = % 11.08/2.30 rat_-12/119) & ~ (rat_-24/119 = rat_0) & ~ (rat_-119/12 = rat_12/119) & ~ % 11.08/2.30 (rat_-119/12 = rat_-12/119) & ~ (rat_-119/12 = rat_0) & ~ (rat_12/119 = % 11.08/2.30 rat_-12/119) & ~ (rat_12/119 = rat_0) & ~ (rat_-12/119 = rat_0) & % 11.08/2.30 rat_$floor(rat_1) = rat_1 & rat_$floor(rat_144/14161) = rat_0 & % 11.08/2.30 rat_$floor(rat_12/119) = rat_0 & rat_$floor(rat_0) = rat_0 & % 11.08/2.30 rat_$ceiling(rat_1) = rat_1 & rat_$ceiling(rat_144/14161) = rat_1 & % 11.08/2.30 rat_$ceiling(rat_-24/119) = rat_0 & rat_$ceiling(rat_12/119) = rat_1 & % 11.08/2.30 rat_$ceiling(rat_-12/119) = rat_0 & rat_$ceiling(rat_0) = rat_0 & % 11.08/2.30 rat_$truncate(rat_1) = rat_1 & rat_$truncate(rat_144/14161) = rat_0 & % 11.08/2.30 rat_$truncate(rat_-24/119) = rat_0 & rat_$truncate(rat_12/119) = rat_0 & % 11.08/2.30 rat_$truncate(rat_-12/119) = rat_0 & rat_$truncate(rat_0) = rat_0 & % 11.08/2.30 rat_$round(rat_1) = rat_1 & rat_$round(rat_144/14161) = rat_0 & % 11.08/2.30 rat_$round(rat_-24/119) = rat_0 & rat_$round(rat_12/119) = rat_0 & % 11.08/2.30 rat_$round(rat_-12/119) = rat_0 & rat_$round(rat_0) = rat_0 & % 11.08/2.30 rat_$to_int(rat_1) = 1 & rat_$to_int(rat_144/14161) = 0 & % 11.08/2.30 rat_$to_int(rat_-24/119) = -1 & rat_$to_int(rat_-119/12) = -10 & % 11.08/2.30 rat_$to_int(rat_12/119) = 0 & rat_$to_int(rat_-12/119) = -1 & % 11.08/2.30 rat_$to_int(rat_0) = 0 & rat_$to_rat(rat_1) = rat_1 & % 11.08/2.30 rat_$to_rat(rat_144/14161) = rat_144/14161 & rat_$to_rat(rat_-24/119) = % 11.08/2.30 rat_-24/119 & rat_$to_rat(rat_-119/12) = rat_-119/12 & rat_$to_rat(rat_12/119) % 11.08/2.30 = rat_12/119 & rat_$to_rat(rat_-12/119) = rat_-12/119 & rat_$to_rat(rat_0) = % 11.08/2.30 rat_0 & rat_$to_real(rat_1) = real_1 & rat_$to_real(rat_144/14161) = % 11.08/2.30 real_144/14161 & rat_$to_real(rat_-24/119) = real_-24/119 & % 11.08/2.30 rat_$to_real(rat_-119/12) = real_-119/12 & rat_$to_real(rat_12/119) = % 11.08/2.30 real_12/119 & rat_$to_real(rat_-12/119) = real_-12/119 & rat_$to_real(rat_0) = % 11.08/2.30 real_0 & int_$to_rat(1) = rat_1 & int_$to_rat(0) = rat_0 & % 11.08/2.30 rat_$quotient(rat_1, rat_1) = rat_1 & rat_$quotient(rat_1, rat_-119/12) = % 11.08/2.30 rat_-12/119 & rat_$quotient(rat_1, rat_-12/119) = rat_-119/12 & % 11.08/2.30 rat_$quotient(rat_144/14161, rat_1) = rat_144/14161 & % 11.08/2.30 rat_$quotient(rat_144/14161, rat_144/14161) = rat_1 & % 11.08/2.30 rat_$quotient(rat_144/14161, rat_12/119) = rat_12/119 & % 11.08/2.30 rat_$quotient(rat_144/14161, rat_-12/119) = rat_-12/119 & % 11.08/2.30 rat_$quotient(rat_-24/119, rat_1) = rat_-24/119 & rat_$quotient(rat_-24/119, % 11.08/2.30 rat_-24/119) = rat_1 & rat_$quotient(rat_-119/12, rat_1) = rat_-119/12 & % 11.08/2.30 rat_$quotient(rat_-119/12, rat_-119/12) = rat_1 & rat_$quotient(rat_12/119, % 11.08/2.30 rat_1) = rat_12/119 & rat_$quotient(rat_12/119, rat_12/119) = rat_1 & % 11.08/2.30 rat_$quotient(rat_-12/119, rat_1) = rat_-12/119 & rat_$quotient(rat_-12/119, % 11.08/2.30 rat_144/14161) = rat_-119/12 & rat_$quotient(rat_-12/119, rat_-119/12) = % 11.08/2.30 rat_144/14161 & rat_$quotient(rat_-12/119, rat_-12/119) = rat_1 & % 11.08/2.30 rat_$quotient(rat_0, rat_1) = rat_0 & rat_$quotient(rat_0, rat_144/14161) = % 11.08/2.30 rat_0 & rat_$quotient(rat_0, rat_-24/119) = rat_0 & rat_$quotient(rat_0, % 11.08/2.30 rat_-119/12) = rat_0 & rat_$quotient(rat_0, rat_12/119) = rat_0 & % 11.08/2.30 rat_$quotient(rat_0, rat_-12/119) = rat_0 & rat_$product(rat_1, rat_1) = rat_1 % 11.08/2.30 & rat_$product(rat_1, rat_144/14161) = rat_144/14161 & rat_$product(rat_1, % 11.08/2.30 rat_-24/119) = rat_-24/119 & rat_$product(rat_1, rat_-119/12) = rat_-119/12 % 11.08/2.30 & rat_$product(rat_1, rat_12/119) = rat_12/119 & rat_$product(rat_1, % 11.08/2.30 rat_-12/119) = rat_-12/119 & rat_$product(rat_1, rat_0) = rat_0 & % 11.08/2.30 rat_$product(rat_144/14161, rat_1) = rat_144/14161 & % 11.08/2.30 rat_$product(rat_144/14161, rat_-119/12) = rat_-12/119 & % 11.08/2.30 rat_$product(rat_144/14161, rat_0) = rat_0 & rat_$product(rat_-24/119, rat_1) % 11.08/2.30 = rat_-24/119 & rat_$product(rat_-24/119, rat_0) = rat_0 & % 11.08/2.30 rat_$product(rat_-119/12, rat_1) = rat_-119/12 & rat_$product(rat_-119/12, % 11.08/2.30 rat_144/14161) = rat_-12/119 & rat_$product(rat_-119/12, rat_-12/119) = % 11.08/2.30 rat_1 & rat_$product(rat_-119/12, rat_0) = rat_0 & rat_$product(rat_12/119, % 11.08/2.30 rat_1) = rat_12/119 & rat_$product(rat_12/119, rat_12/119) = rat_144/14161 & % 11.08/2.30 rat_$product(rat_12/119, rat_0) = rat_0 & rat_$product(rat_-12/119, rat_1) = % 11.08/2.30 rat_-12/119 & rat_$product(rat_-12/119, rat_-119/12) = rat_1 & % 11.08/2.30 rat_$product(rat_-12/119, rat_-12/119) = rat_144/14161 & % 11.08/2.30 rat_$product(rat_-12/119, rat_0) = rat_0 & rat_$product(rat_0, rat_1) = rat_0 % 11.08/2.30 & rat_$product(rat_0, rat_144/14161) = rat_0 & rat_$product(rat_0, % 11.08/2.30 rat_-24/119) = rat_0 & rat_$product(rat_0, rat_-119/12) = rat_0 & % 11.08/2.30 rat_$product(rat_0, rat_12/119) = rat_0 & rat_$product(rat_0, rat_-12/119) = % 11.08/2.30 rat_0 & rat_$product(rat_0, rat_0) = rat_0 & rat_$difference(rat_1, rat_1) = % 11.08/2.30 rat_0 & rat_$difference(rat_1, rat_0) = rat_1 & rat_$difference(rat_144/14161, % 11.08/2.30 rat_144/14161) = rat_0 & rat_$difference(rat_144/14161, rat_0) = % 11.08/2.30 rat_144/14161 & rat_$difference(rat_-24/119, rat_-24/119) = rat_0 & % 11.08/2.30 rat_$difference(rat_-24/119, rat_-12/119) = rat_-12/119 & % 11.08/2.30 rat_$difference(rat_-24/119, rat_0) = rat_-24/119 & % 11.08/2.30 rat_$difference(rat_-119/12, rat_-119/12) = rat_0 & % 11.08/2.30 rat_$difference(rat_-119/12, rat_0) = rat_-119/12 & % 11.08/2.30 rat_$difference(rat_12/119, rat_12/119) = rat_0 & rat_$difference(rat_12/119, % 11.08/2.30 rat_0) = rat_12/119 & rat_$difference(rat_-12/119, rat_-24/119) = rat_12/119 % 11.08/2.30 & rat_$difference(rat_-12/119, rat_12/119) = rat_-24/119 & % 11.08/2.30 rat_$difference(rat_-12/119, rat_-12/119) = rat_0 & % 11.08/2.30 rat_$difference(rat_-12/119, rat_0) = rat_-12/119 & rat_$difference(rat_0, % 11.08/2.30 rat_12/119) = rat_-12/119 & rat_$difference(rat_0, rat_-12/119) = rat_12/119 % 11.08/2.30 & rat_$difference(rat_0, rat_0) = rat_0 & rat_$uminus(rat_12/119) = % 11.08/2.30 rat_-12/119 & rat_$uminus(rat_-12/119) = rat_12/119 & rat_$uminus(rat_0) = % 11.08/2.30 rat_0 & rat_$sum(rat_1, rat_0) = rat_1 & rat_$sum(rat_144/14161, rat_0) = % 11.08/2.30 rat_144/14161 & rat_$sum(rat_-24/119, rat_12/119) = rat_-12/119 & % 11.08/2.30 rat_$sum(rat_-24/119, rat_0) = rat_-24/119 & rat_$sum(rat_-119/12, rat_0) = % 11.08/2.30 rat_-119/12 & rat_$sum(rat_12/119, rat_-24/119) = rat_-12/119 & % 11.08/2.30 rat_$sum(rat_12/119, rat_-12/119) = rat_0 & rat_$sum(rat_12/119, rat_0) = % 11.08/2.30 rat_12/119 & rat_$sum(rat_-12/119, rat_12/119) = rat_0 & rat_$sum(rat_-12/119, % 11.08/2.30 rat_-12/119) = rat_-24/119 & rat_$sum(rat_-12/119, rat_0) = rat_-12/119 & % 11.08/2.30 rat_$sum(rat_0, rat_1) = rat_1 & rat_$sum(rat_0, rat_144/14161) = % 11.08/2.30 rat_144/14161 & rat_$sum(rat_0, rat_-24/119) = rat_-24/119 & rat_$sum(rat_0, % 11.08/2.30 rat_-119/12) = rat_-119/12 & rat_$sum(rat_0, rat_12/119) = rat_12/119 & % 11.08/2.30 rat_$sum(rat_0, rat_-12/119) = rat_-12/119 & rat_$sum(rat_0, rat_0) = rat_0 & % 11.08/2.30 rat_$is_rat(rat_1) & rat_$is_rat(rat_144/14161) & rat_$is_rat(rat_-24/119) & % 11.08/2.30 rat_$is_rat(rat_-119/12) & rat_$is_rat(rat_12/119) & rat_$is_rat(rat_-12/119) % 11.08/2.30 & rat_$is_rat(rat_0) & rat_$is_int(rat_1) & rat_$is_int(rat_0) & % 11.08/2.30 rat_$greatereq(rat_1, rat_1) & rat_$greatereq(rat_1, rat_144/14161) & % 11.08/2.30 rat_$greatereq(rat_1, rat_-24/119) & rat_$greatereq(rat_1, rat_-119/12) & % 11.08/2.31 rat_$greatereq(rat_1, rat_12/119) & rat_$greatereq(rat_1, rat_-12/119) & % 11.08/2.31 rat_$greatereq(rat_1, rat_0) & rat_$greatereq(rat_144/14161, rat_144/14161) & % 11.08/2.31 rat_$greatereq(rat_144/14161, rat_-24/119) & rat_$greatereq(rat_144/14161, % 11.08/2.31 rat_-119/12) & rat_$greatereq(rat_144/14161, rat_-12/119) & % 11.08/2.31 rat_$greatereq(rat_144/14161, rat_0) & rat_$greatereq(rat_-24/119, % 11.08/2.31 rat_-24/119) & rat_$greatereq(rat_-24/119, rat_-119/12) & % 11.08/2.31 rat_$greatereq(rat_-119/12, rat_-119/12) & rat_$greatereq(rat_12/119, % 11.08/2.31 rat_144/14161) & rat_$greatereq(rat_12/119, rat_-24/119) & % 11.08/2.31 rat_$greatereq(rat_12/119, rat_-119/12) & rat_$greatereq(rat_12/119, % 11.08/2.31 rat_12/119) & rat_$greatereq(rat_12/119, rat_-12/119) & % 11.08/2.31 rat_$greatereq(rat_12/119, rat_0) & rat_$greatereq(rat_-12/119, rat_-24/119) & % 11.08/2.31 rat_$greatereq(rat_-12/119, rat_-119/12) & rat_$greatereq(rat_-12/119, % 11.08/2.31 rat_-12/119) & rat_$greatereq(rat_0, rat_-24/119) & rat_$greatereq(rat_0, % 11.08/2.31 rat_-119/12) & rat_$greatereq(rat_0, rat_-12/119) & rat_$greatereq(rat_0, % 11.08/2.31 rat_0) & rat_$greater(rat_very_large, rat_1) & rat_$greater(rat_very_large, % 11.08/2.31 rat_144/14161) & rat_$greater(rat_very_large, rat_-24/119) & % 11.08/2.31 rat_$greater(rat_very_large, rat_-119/12) & rat_$greater(rat_very_large, % 11.08/2.31 rat_12/119) & rat_$greater(rat_very_large, rat_-12/119) & % 11.08/2.31 rat_$greater(rat_very_large, rat_0) & rat_$greater(rat_1, rat_very_small) & % 11.08/2.31 rat_$greater(rat_1, rat_144/14161) & rat_$greater(rat_1, rat_-24/119) & % 11.08/2.31 rat_$greater(rat_1, rat_-119/12) & rat_$greater(rat_1, rat_12/119) & % 11.08/2.31 rat_$greater(rat_1, rat_-12/119) & rat_$greater(rat_1, rat_0) & % 11.08/2.31 rat_$greater(rat_144/14161, rat_very_small) & rat_$greater(rat_144/14161, % 11.08/2.31 rat_-24/119) & rat_$greater(rat_144/14161, rat_-119/12) & % 11.08/2.31 rat_$greater(rat_144/14161, rat_-12/119) & rat_$greater(rat_144/14161, rat_0) % 11.08/2.31 & rat_$greater(rat_-24/119, rat_very_small) & rat_$greater(rat_-24/119, % 11.08/2.31 rat_-119/12) & rat_$greater(rat_-119/12, rat_very_small) & % 11.08/2.31 rat_$greater(rat_12/119, rat_very_small) & rat_$greater(rat_12/119, % 11.08/2.31 rat_144/14161) & rat_$greater(rat_12/119, rat_-24/119) & % 11.08/2.31 rat_$greater(rat_12/119, rat_-119/12) & rat_$greater(rat_12/119, rat_-12/119) % 11.08/2.31 & rat_$greater(rat_12/119, rat_0) & rat_$greater(rat_-12/119, rat_very_small) % 11.08/2.31 & rat_$greater(rat_-12/119, rat_-24/119) & rat_$greater(rat_-12/119, % 11.08/2.31 rat_-119/12) & rat_$greater(rat_0, rat_very_small) & rat_$greater(rat_0, % 11.08/2.31 rat_-24/119) & rat_$greater(rat_0, rat_-119/12) & rat_$greater(rat_0, % 11.08/2.31 rat_-12/119) & rat_$lesseq(rat_very_small, rat_very_large) & % 11.08/2.31 rat_$lesseq(rat_1, rat_1) & rat_$lesseq(rat_144/14161, rat_1) & % 11.08/2.31 rat_$lesseq(rat_144/14161, rat_144/14161) & rat_$lesseq(rat_144/14161, % 11.08/2.31 rat_12/119) & rat_$lesseq(rat_-24/119, rat_1) & rat_$lesseq(rat_-24/119, % 11.08/2.31 rat_144/14161) & rat_$lesseq(rat_-24/119, rat_-24/119) & % 11.08/2.31 rat_$lesseq(rat_-24/119, rat_12/119) & rat_$lesseq(rat_-24/119, rat_-12/119) & % 11.08/2.31 rat_$lesseq(rat_-24/119, rat_0) & rat_$lesseq(rat_-119/12, rat_1) & % 11.08/2.31 rat_$lesseq(rat_-119/12, rat_144/14161) & rat_$lesseq(rat_-119/12, % 11.08/2.31 rat_-24/119) & rat_$lesseq(rat_-119/12, rat_-119/12) & % 11.08/2.31 rat_$lesseq(rat_-119/12, rat_12/119) & rat_$lesseq(rat_-119/12, rat_-12/119) & % 11.08/2.31 rat_$lesseq(rat_-119/12, rat_0) & rat_$lesseq(rat_12/119, rat_1) & % 11.08/2.31 rat_$lesseq(rat_12/119, rat_12/119) & rat_$lesseq(rat_-12/119, rat_1) & % 11.08/2.31 rat_$lesseq(rat_-12/119, rat_144/14161) & rat_$lesseq(rat_-12/119, rat_12/119) % 11.08/2.31 & rat_$lesseq(rat_-12/119, rat_-12/119) & rat_$lesseq(rat_-12/119, rat_0) & % 11.08/2.31 rat_$lesseq(rat_0, rat_1) & rat_$lesseq(rat_0, rat_144/14161) & % 11.08/2.31 rat_$lesseq(rat_0, rat_12/119) & rat_$lesseq(rat_0, rat_0) & % 11.08/2.31 rat_$less(rat_very_small, rat_very_large) & rat_$less(rat_very_small, rat_1) & % 11.08/2.31 rat_$less(rat_very_small, rat_144/14161) & rat_$less(rat_very_small, % 11.08/2.31 rat_-24/119) & rat_$less(rat_very_small, rat_-119/12) & % 11.08/2.31 rat_$less(rat_very_small, rat_12/119) & rat_$less(rat_very_small, rat_-12/119) % 11.08/2.31 & rat_$less(rat_very_small, rat_0) & rat_$less(rat_1, rat_very_large) & % 11.08/2.31 rat_$less(rat_144/14161, rat_very_large) & rat_$less(rat_144/14161, rat_1) & % 11.08/2.31 rat_$less(rat_144/14161, rat_12/119) & rat_$less(rat_-24/119, rat_very_large) % 11.08/2.31 & rat_$less(rat_-24/119, rat_1) & rat_$less(rat_-24/119, rat_144/14161) & % 11.08/2.31 rat_$less(rat_-24/119, rat_12/119) & rat_$less(rat_-24/119, rat_-12/119) & % 11.08/2.31 rat_$less(rat_-24/119, rat_0) & rat_$less(rat_-119/12, rat_very_large) & % 11.08/2.31 rat_$less(rat_-119/12, rat_1) & rat_$less(rat_-119/12, rat_144/14161) & % 11.08/2.31 rat_$less(rat_-119/12, rat_-24/119) & rat_$less(rat_-119/12, rat_12/119) & % 11.08/2.31 rat_$less(rat_-119/12, rat_-12/119) & rat_$less(rat_-119/12, rat_0) & % 11.08/2.31 rat_$less(rat_12/119, rat_very_large) & rat_$less(rat_12/119, rat_1) & % 11.08/2.31 rat_$less(rat_-12/119, rat_very_large) & rat_$less(rat_-12/119, rat_1) & % 11.08/2.31 rat_$less(rat_-12/119, rat_144/14161) & rat_$less(rat_-12/119, rat_12/119) & % 11.08/2.31 rat_$less(rat_-12/119, rat_0) & rat_$less(rat_0, rat_very_large) & % 11.08/2.31 rat_$less(rat_0, rat_1) & rat_$less(rat_0, rat_144/14161) & rat_$less(rat_0, % 11.08/2.31 rat_12/119) & ~ rat_$is_int(rat_144/14161) & ~ rat_$is_int(rat_-24/119) & % 11.08/2.31 ~ rat_$is_int(rat_-119/12) & ~ rat_$is_int(rat_12/119) & ~ % 11.08/2.31 rat_$is_int(rat_-12/119) & ~ rat_$greatereq(rat_very_small, rat_very_large) & % 11.08/2.31 ~ rat_$greatereq(rat_144/14161, rat_1) & ~ rat_$greatereq(rat_144/14161, % 11.08/2.31 rat_12/119) & ~ rat_$greatereq(rat_-24/119, rat_1) & ~ % 11.08/2.31 rat_$greatereq(rat_-24/119, rat_144/14161) & ~ rat_$greatereq(rat_-24/119, % 11.08/2.31 rat_12/119) & ~ rat_$greatereq(rat_-24/119, rat_-12/119) & ~ % 11.08/2.31 rat_$greatereq(rat_-24/119, rat_0) & ~ rat_$greatereq(rat_-119/12, rat_1) & % 11.08/2.31 ~ rat_$greatereq(rat_-119/12, rat_144/14161) & ~ rat_$greatereq(rat_-119/12, % 11.08/2.31 rat_-24/119) & ~ rat_$greatereq(rat_-119/12, rat_12/119) & ~ % 11.08/2.31 rat_$greatereq(rat_-119/12, rat_-12/119) & ~ rat_$greatereq(rat_-119/12, % 11.08/2.31 rat_0) & ~ rat_$greatereq(rat_12/119, rat_1) & ~ % 11.08/2.31 rat_$greatereq(rat_-12/119, rat_1) & ~ rat_$greatereq(rat_-12/119, % 11.08/2.31 rat_144/14161) & ~ rat_$greatereq(rat_-12/119, rat_12/119) & ~ % 11.08/2.31 rat_$greatereq(rat_-12/119, rat_0) & ~ rat_$greatereq(rat_0, rat_1) & ~ % 11.08/2.31 rat_$greatereq(rat_0, rat_144/14161) & ~ rat_$greatereq(rat_0, rat_12/119) & % 11.08/2.31 ~ rat_$greater(rat_very_small, rat_very_large) & ~ rat_$greater(rat_1, rat_1) % 11.08/2.31 & ~ rat_$greater(rat_144/14161, rat_1) & ~ rat_$greater(rat_144/14161, % 11.08/2.31 rat_144/14161) & ~ rat_$greater(rat_144/14161, rat_12/119) & ~ % 11.08/2.31 rat_$greater(rat_-24/119, rat_1) & ~ rat_$greater(rat_-24/119, rat_144/14161) % 11.08/2.31 & ~ rat_$greater(rat_-24/119, rat_-24/119) & ~ rat_$greater(rat_-24/119, % 11.08/2.31 rat_12/119) & ~ rat_$greater(rat_-24/119, rat_-12/119) & ~ % 11.08/2.31 rat_$greater(rat_-24/119, rat_0) & ~ rat_$greater(rat_-119/12, rat_1) & ~ % 11.08/2.31 rat_$greater(rat_-119/12, rat_144/14161) & ~ rat_$greater(rat_-119/12, % 11.08/2.31 rat_-24/119) & ~ rat_$greater(rat_-119/12, rat_-119/12) & ~ % 11.08/2.31 rat_$greater(rat_-119/12, rat_12/119) & ~ rat_$greater(rat_-119/12, % 11.08/2.31 rat_-12/119) & ~ rat_$greater(rat_-119/12, rat_0) & ~ % 11.08/2.31 rat_$greater(rat_12/119, rat_1) & ~ rat_$greater(rat_12/119, rat_12/119) & ~ % 11.08/2.31 rat_$greater(rat_-12/119, rat_1) & ~ rat_$greater(rat_-12/119, rat_144/14161) % 11.08/2.31 & ~ rat_$greater(rat_-12/119, rat_12/119) & ~ rat_$greater(rat_-12/119, % 11.08/2.31 rat_-12/119) & ~ rat_$greater(rat_-12/119, rat_0) & ~ rat_$greater(rat_0, % 11.08/2.31 rat_1) & ~ rat_$greater(rat_0, rat_144/14161) & ~ rat_$greater(rat_0, % 11.08/2.31 rat_12/119) & ~ rat_$greater(rat_0, rat_0) & ~ rat_$lesseq(rat_1, % 11.08/2.31 rat_144/14161) & ~ rat_$lesseq(rat_1, rat_-24/119) & ~ rat_$lesseq(rat_1, % 11.08/2.31 rat_-119/12) & ~ rat_$lesseq(rat_1, rat_12/119) & ~ rat_$lesseq(rat_1, % 11.08/2.31 rat_-12/119) & ~ rat_$lesseq(rat_1, rat_0) & ~ rat_$lesseq(rat_144/14161, % 11.08/2.31 rat_-24/119) & ~ rat_$lesseq(rat_144/14161, rat_-119/12) & ~ % 11.08/2.31 rat_$lesseq(rat_144/14161, rat_-12/119) & ~ rat_$lesseq(rat_144/14161, rat_0) % 11.08/2.31 & ~ rat_$lesseq(rat_-24/119, rat_-119/12) & ~ rat_$lesseq(rat_12/119, % 11.08/2.31 rat_144/14161) & ~ rat_$lesseq(rat_12/119, rat_-24/119) & ~ % 11.08/2.31 rat_$lesseq(rat_12/119, rat_-119/12) & ~ rat_$lesseq(rat_12/119, rat_-12/119) % 11.08/2.31 & ~ rat_$lesseq(rat_12/119, rat_0) & ~ rat_$lesseq(rat_-12/119, rat_-24/119) % 11.08/2.31 & ~ rat_$lesseq(rat_-12/119, rat_-119/12) & ~ rat_$lesseq(rat_0, % 11.08/2.31 rat_-24/119) & ~ rat_$lesseq(rat_0, rat_-119/12) & ~ rat_$lesseq(rat_0, % 11.08/2.31 rat_-12/119) & ~ rat_$less(rat_1, rat_1) & ~ rat_$less(rat_1, % 11.08/2.31 rat_144/14161) & ~ rat_$less(rat_1, rat_-24/119) & ~ rat_$less(rat_1, % 11.08/2.31 rat_-119/12) & ~ rat_$less(rat_1, rat_12/119) & ~ rat_$less(rat_1, % 11.08/2.31 rat_-12/119) & ~ rat_$less(rat_1, rat_0) & ~ rat_$less(rat_144/14161, % 11.08/2.31 rat_144/14161) & ~ rat_$less(rat_144/14161, rat_-24/119) & ~ % 11.08/2.31 rat_$less(rat_144/14161, rat_-119/12) & ~ rat_$less(rat_144/14161, % 11.08/2.31 rat_-12/119) & ~ rat_$less(rat_144/14161, rat_0) & ~ % 11.08/2.31 rat_$less(rat_-24/119, rat_-24/119) & ~ rat_$less(rat_-24/119, rat_-119/12) & % 11.08/2.31 ~ rat_$less(rat_-119/12, rat_-119/12) & ~ rat_$less(rat_12/119, % 11.08/2.31 rat_144/14161) & ~ rat_$less(rat_12/119, rat_-24/119) & ~ % 11.08/2.31 rat_$less(rat_12/119, rat_-119/12) & ~ rat_$less(rat_12/119, rat_12/119) & ~ % 11.08/2.31 rat_$less(rat_12/119, rat_-12/119) & ~ rat_$less(rat_12/119, rat_0) & ~ % 11.08/2.31 rat_$less(rat_-12/119, rat_-24/119) & ~ rat_$less(rat_-12/119, rat_-119/12) & % 11.08/2.31 ~ rat_$less(rat_-12/119, rat_-12/119) & ~ rat_$less(rat_0, rat_-24/119) & ~ % 11.08/2.31 rat_$less(rat_0, rat_-119/12) & ~ rat_$less(rat_0, rat_-12/119) & ~ % 11.08/2.31 rat_$less(rat_0, rat_0) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! % 11.08/2.31 [v3: $rat] : ! [v4: $rat] : ( ~ (rat_$sum(v3, v0) = v4) | ~ (rat_$sum(v2, % 11.08/2.31 v1) = v3) | ? [v5: $rat] : (rat_$sum(v2, v5) = v4 & rat_$sum(v1, v0) = % 11.08/2.31 v5)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : ! % 11.08/2.31 [v4: $rat] : ( ~ (rat_$sum(v2, v3) = v4) | ~ (rat_$sum(v1, v0) = v3) | ? % 11.08/2.31 [v5: $rat] : (rat_$sum(v5, v0) = v4 & rat_$sum(v2, v1) = v5)) & ! [v0: % 11.08/2.31 $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : ( ~ (rat_$uminus(v0) % 11.08/2.31 = v2) | ~ (rat_$sum(v1, v2) = v3) | rat_$difference(v1, v0) = v3) & ! % 11.08/2.31 [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : (v0 = rat_0 | ~ % 11.08/2.31 (rat_$product(v1, v0) = v2) | rat_$quotient(v2, v0) = v1) & ! [v0: $rat] : % 11.08/2.31 ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$product(v1, v0) = v2) | % 11.08/2.32 rat_$product(v0, v1) = v2) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : % 11.08/2.32 ( ~ (rat_$product(v0, v1) = v2) | rat_$product(v1, v0) = v2) & ! [v0: $rat] : % 11.08/2.32 ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$difference(v1, v0) = v2) | ? [v3: % 11.08/2.32 $rat] : (rat_$uminus(v0) = v3 & rat_$sum(v1, v3) = v2)) & ! [v0: $rat] : % 11.08/2.32 ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$sum(v1, v0) = v2) | rat_$sum(v0, v1) % 11.08/2.32 = v2) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$sum(v0, % 11.08/2.32 v1) = v2) | rat_$sum(v1, v0) = v2) & ! [v0: $rat] : ! [v1: $rat] : ! % 11.08/2.32 [v2: $rat] : ( ~ rat_$lesseq(v2, v1) | ~ rat_$lesseq(v1, v0) | % 11.08/2.32 rat_$lesseq(v2, v0)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ % 11.08/2.32 rat_$lesseq(v2, v1) | ~ rat_$less(v1, v0) | rat_$less(v2, v0)) & ! [v0: % 11.08/2.32 $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ rat_$lesseq(v1, v0) | ~ % 11.08/2.32 rat_$less(v2, v1) | rat_$less(v2, v0)) & ! [v0: $rat] : ! [v1: $rat] : (v1 % 11.08/2.32 = v0 | ~ (rat_$sum(v0, rat_0) = v1)) & ! [v0: $rat] : ! [v1: $rat] : (v1 % 11.08/2.32 = v0 | ~ rat_$lesseq(v1, v0) | rat_$less(v1, v0)) & ! [v0: $rat] : ! [v1: % 11.08/2.32 $rat] : ( ~ (rat_$uminus(v0) = v1) | rat_$uminus(v1) = v0) & ! [v0: $rat] : % 11.08/2.32 ! [v1: $rat] : ( ~ (rat_$uminus(v0) = v1) | rat_$sum(v0, v1) = rat_0) & ! % 11.08/2.32 [v0: $rat] : ! [v1: $rat] : ( ~ rat_$greatereq(v0, v1) | rat_$lesseq(v1, v0)) % 11.08/2.32 & ! [v0: $rat] : ! [v1: $rat] : ( ~ rat_$greater(v0, v1) | rat_$less(v1, % 11.08/2.32 v0)) & ! [v0: $rat] : ! [v1: $rat] : ( ~ rat_$lesseq(v1, v0) | % 11.08/2.32 rat_$greatereq(v0, v1)) & ! [v0: $rat] : ! [v1: $rat] : ( ~ rat_$less(v1, % 11.08/2.32 v0) | rat_$greater(v0, v1)) & ! [v0: $rat] : ! [v1: $rat] : ( ~ % 11.08/2.32 rat_$less(v1, v0) | rat_$lesseq(v1, v0)) & ! [v0: $rat] : (v0 = rat_0 | ~ % 11.08/2.32 (rat_$uminus(v0) = v0)) & ? [v0: $rat] : rat_$lesseq(v0, v0) % 11.08/2.32 % 11.08/2.32 Those formulas are unsatisfiable: % 11.08/2.32 --------------------------------- % 11.08/2.32 % 11.08/2.32 Begin of proof % 11.08/2.32 | % 11.08/2.32 | ALPHA: (input) implies: % 11.08/2.32 | (1) rat_$sum(rat_12/119, rat_-12/119) = rat_0 % 11.08/2.32 | % 11.08/2.32 | GROUND_INST: instantiating (rat_sum_problem_26) with rat_12/119, simplifying % 11.08/2.32 | with (1) gives: % 11.08/2.32 | (2) $false % 11.08/2.32 | % 11.08/2.32 | CLOSE: (2) is inconsistent. % 11.08/2.32 | % 11.08/2.32 End of proof % 11.08/2.32 % SZS output end Proof for theBenchmark % 11.08/2.32 % 11.08/2.32 1685ms %------------------------------------------------------------------------------