%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ARI295_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 : n019.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 17:47:36 EDT 2023 % Result : Theorem 6.28s 1.64s % Output : Proof 16.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.12 % Problem : ARI295_1 : TPTP v8.1.2. Released v5.0.0. % 0.08/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n019.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 18:22:43 EDT 2023 % 0.13/0.35 % CPUTime : % 0.54/0.66 ________ _____ % 0.54/0.66 ___ __ \_________(_)________________________________ % 0.54/0.66 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.54/0.66 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.54/0.66 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.54/0.66 % 0.54/0.66 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.54/0.66 (2023-06-19) % 0.54/0.66 % 0.54/0.66 (c) Philipp Rümmer, 2009-2023 % 0.54/0.66 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.54/0.66 Amanda Stjerna. % 0.54/0.66 Free software under BSD-3-Clause. % 0.54/0.66 % 0.54/0.66 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.54/0.66 % 0.54/0.66 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.54/0.68 Running up to 7 provers in parallel. % 0.54/0.70 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.54/0.70 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.54/0.70 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.54/0.70 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.54/0.70 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.54/0.70 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.54/0.70 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.72/0.97 Prover 0: Warning: Problem contains rationals, using incomplete axiomatisation % 1.72/0.97 Prover 5: Warning: Problem contains rationals, using incomplete axiomatisation % 1.72/0.97 Prover 6: Warning: Problem contains rationals, using incomplete axiomatisation % 1.72/0.97 Prover 1: Warning: Problem contains rationals, using incomplete axiomatisation % 1.72/0.97 Prover 4: Warning: Problem contains rationals, using incomplete axiomatisation % 1.72/0.97 Prover 3: Warning: Problem contains rationals, using incomplete axiomatisation % 1.72/0.97 Prover 2: Warning: Problem contains rationals, using incomplete axiomatisation % 2.11/1.05 Prover 4: Preprocessing ... % 2.49/1.06 Prover 1: Preprocessing ... % 2.49/1.11 Prover 6: Preprocessing ... % 2.49/1.11 Prover 0: Preprocessing ... % 5.18/1.49 Prover 5: Preprocessing ... % 5.43/1.50 Prover 2: Preprocessing ... % 5.43/1.52 Prover 3: Preprocessing ... % 5.76/1.59 Prover 6: Constructing countermodel ... % 6.28/1.62 Prover 0: Constructing countermodel ... % 6.28/1.64 Prover 0: proved (954ms) % 6.28/1.64 % 6.28/1.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 6.28/1.64 % 6.28/1.64 Prover 6: proved (944ms) % 6.28/1.64 % 6.28/1.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 6.28/1.64 % 6.28/1.65 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 6.28/1.65 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 6.28/1.65 Prover 7: Warning: Problem contains rationals, using incomplete axiomatisation % 6.73/1.67 Prover 8: Warning: Problem contains rationals, using incomplete axiomatisation % 6.73/1.68 Prover 8: Preprocessing ... % 6.73/1.71 Prover 1: Constructing countermodel ... % 7.70/1.79 Prover 4: Constructing countermodel ... % 7.70/1.82 Prover 7: Preprocessing ... % 7.70/1.84 Prover 1: Found proof (size 3) % 7.70/1.84 Prover 1: proved (1160ms) % 7.70/1.87 Prover 4: stopped % 8.44/1.96 Prover 8: Warning: ignoring some quantifiers % 8.97/1.97 Prover 8: Constructing countermodel ... % 8.97/1.99 Prover 8: stopped % 10.99/2.25 Prover 2: stopped % 11.42/2.36 Prover 7: stopped % 15.09/2.99 Prover 5: Constructing countermodel ... % 15.09/2.99 Prover 5: stopped % 15.47/3.17 Prover 3: Constructing countermodel ... % 15.47/3.17 Prover 3: stopped % 15.47/3.17 % 15.47/3.17 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 15.47/3.17 % 15.97/3.18 % SZS output start Proof for theBenchmark % 15.97/3.18 Assumptions after simplification: % 15.97/3.18 --------------------------------- % 15.97/3.18 % 15.97/3.18 (rat_product_problem_12) % 15.97/3.19 rat_35/64 = rat_9/16 % 15.97/3.19 % 15.97/3.19 (input) % 16.37/3.27 ~ (rat_very_large = rat_very_small) & ~ (rat_very_large = rat_35/64) & ~ % 16.37/3.27 (rat_very_large = rat_9/16) & ~ (rat_very_large = rat_7/8) & ~ % 16.37/3.27 (rat_very_large = rat_5/8) & ~ (rat_very_large = rat_0) & ~ (rat_very_small % 16.37/3.27 = rat_35/64) & ~ (rat_very_small = rat_9/16) & ~ (rat_very_small = % 16.37/3.27 rat_7/8) & ~ (rat_very_small = rat_5/8) & ~ (rat_very_small = rat_0) & ~ % 16.37/3.27 (rat_35/64 = rat_9/16) & ~ (rat_35/64 = rat_7/8) & ~ (rat_35/64 = rat_5/8) & % 16.37/3.27 ~ (rat_35/64 = rat_0) & ~ (rat_9/16 = rat_7/8) & ~ (rat_9/16 = rat_5/8) & % 16.37/3.27 ~ (rat_9/16 = rat_0) & ~ (rat_7/8 = rat_5/8) & ~ (rat_7/8 = rat_0) & ~ % 16.37/3.27 (rat_5/8 = rat_0) & rat_$is_int(rat_35/64) = 1 & rat_$is_int(rat_9/16) = 1 & % 16.37/3.27 rat_$is_int(rat_7/8) = 1 & rat_$is_int(rat_5/8) = 1 & rat_$is_int(rat_0) = 0 & % 16.37/3.27 rat_$is_rat(rat_35/64) = 0 & rat_$is_rat(rat_9/16) = 0 & rat_$is_rat(rat_7/8) % 16.37/3.27 = 0 & rat_$is_rat(rat_5/8) = 0 & rat_$is_rat(rat_0) = 0 & % 16.37/3.27 rat_$floor(rat_35/64) = rat_0 & rat_$floor(rat_9/16) = rat_0 & % 16.37/3.27 rat_$floor(rat_7/8) = rat_0 & rat_$floor(rat_5/8) = rat_0 & rat_$floor(rat_0) % 16.37/3.27 = rat_0 & rat_$ceiling(rat_0) = rat_0 & rat_$truncate(rat_35/64) = rat_0 & % 16.37/3.27 rat_$truncate(rat_9/16) = rat_0 & rat_$truncate(rat_7/8) = rat_0 & % 16.37/3.27 rat_$truncate(rat_5/8) = rat_0 & rat_$truncate(rat_0) = rat_0 & % 16.37/3.27 rat_$round(rat_0) = rat_0 & rat_$to_int(rat_35/64) = 0 & rat_$to_int(rat_9/16) % 16.37/3.27 = 0 & rat_$to_int(rat_7/8) = 0 & rat_$to_int(rat_5/8) = 0 & rat_$to_int(rat_0) % 16.37/3.27 = 0 & rat_$to_rat(rat_35/64) = rat_35/64 & rat_$to_rat(rat_9/16) = rat_9/16 & % 16.37/3.27 rat_$to_rat(rat_7/8) = rat_7/8 & rat_$to_rat(rat_5/8) = rat_5/8 & % 16.37/3.27 rat_$to_rat(rat_0) = rat_0 & rat_$to_real(rat_35/64) = real_35/64 & % 16.37/3.27 rat_$to_real(rat_9/16) = real_9/16 & rat_$to_real(rat_7/8) = real_7/8 & % 16.37/3.27 rat_$to_real(rat_5/8) = real_5/8 & rat_$to_real(rat_0) = real_0 & % 16.37/3.27 int_$to_rat(0) = rat_0 & rat_$quotient(rat_35/64, rat_7/8) = rat_5/8 & % 16.37/3.27 rat_$quotient(rat_35/64, rat_5/8) = rat_7/8 & rat_$quotient(rat_0, rat_35/64) % 16.37/3.27 = rat_0 & rat_$quotient(rat_0, rat_9/16) = rat_0 & rat_$quotient(rat_0, % 16.37/3.27 rat_7/8) = rat_0 & rat_$quotient(rat_0, rat_5/8) = rat_0 & % 16.37/3.27 rat_$product(rat_35/64, rat_0) = rat_0 & rat_$product(rat_9/16, rat_0) = rat_0 % 16.37/3.27 & rat_$product(rat_7/8, rat_5/8) = rat_35/64 & rat_$product(rat_7/8, rat_0) = % 16.37/3.28 rat_0 & rat_$product(rat_5/8, rat_7/8) = rat_35/64 & rat_$product(rat_5/8, % 16.37/3.28 rat_0) = rat_0 & rat_$product(rat_0, rat_35/64) = rat_0 & % 16.37/3.28 rat_$product(rat_0, rat_9/16) = rat_0 & rat_$product(rat_0, rat_7/8) = rat_0 & % 16.37/3.28 rat_$product(rat_0, rat_5/8) = rat_0 & rat_$product(rat_0, rat_0) = rat_0 & % 16.37/3.28 rat_$difference(rat_35/64, rat_35/64) = rat_0 & rat_$difference(rat_35/64, % 16.37/3.28 rat_0) = rat_35/64 & rat_$difference(rat_9/16, rat_9/16) = rat_0 & % 16.37/3.28 rat_$difference(rat_9/16, rat_0) = rat_9/16 & rat_$difference(rat_7/8, % 16.37/3.28 rat_7/8) = rat_0 & rat_$difference(rat_7/8, rat_0) = rat_7/8 & % 16.37/3.28 rat_$difference(rat_5/8, rat_5/8) = rat_0 & rat_$difference(rat_5/8, rat_0) = % 16.37/3.28 rat_5/8 & rat_$difference(rat_0, rat_0) = rat_0 & rat_$uminus(rat_0) = rat_0 & % 16.37/3.28 rat_$sum(rat_35/64, rat_0) = rat_35/64 & rat_$sum(rat_9/16, rat_0) = rat_9/16 % 16.37/3.28 & rat_$sum(rat_7/8, rat_0) = rat_7/8 & rat_$sum(rat_5/8, rat_0) = rat_5/8 & % 16.37/3.28 rat_$sum(rat_0, rat_35/64) = rat_35/64 & rat_$sum(rat_0, rat_9/16) = rat_9/16 % 16.37/3.28 & rat_$sum(rat_0, rat_7/8) = rat_7/8 & rat_$sum(rat_0, rat_5/8) = rat_5/8 & % 16.37/3.28 rat_$sum(rat_0, rat_0) = rat_0 & rat_$greatereq(rat_very_small, % 16.37/3.28 rat_very_large) = 1 & rat_$greatereq(rat_35/64, rat_35/64) = 0 & % 16.37/3.28 rat_$greatereq(rat_35/64, rat_9/16) = 1 & rat_$greatereq(rat_35/64, rat_7/8) = % 16.37/3.28 1 & rat_$greatereq(rat_35/64, rat_5/8) = 1 & rat_$greatereq(rat_35/64, rat_0) % 16.37/3.28 = 0 & rat_$greatereq(rat_9/16, rat_35/64) = 0 & rat_$greatereq(rat_9/16, % 16.37/3.28 rat_9/16) = 0 & rat_$greatereq(rat_9/16, rat_7/8) = 1 & % 16.37/3.28 rat_$greatereq(rat_9/16, rat_5/8) = 1 & rat_$greatereq(rat_9/16, rat_0) = 0 & % 16.37/3.28 rat_$greatereq(rat_7/8, rat_35/64) = 0 & rat_$greatereq(rat_7/8, rat_9/16) = 0 % 16.37/3.28 & rat_$greatereq(rat_7/8, rat_7/8) = 0 & rat_$greatereq(rat_7/8, rat_5/8) = 0 % 16.37/3.28 & rat_$greatereq(rat_7/8, rat_0) = 0 & rat_$greatereq(rat_5/8, rat_35/64) = 0 % 16.37/3.28 & rat_$greatereq(rat_5/8, rat_9/16) = 0 & rat_$greatereq(rat_5/8, rat_7/8) = 1 % 16.37/3.28 & rat_$greatereq(rat_5/8, rat_5/8) = 0 & rat_$greatereq(rat_5/8, rat_0) = 0 & % 16.37/3.28 rat_$greatereq(rat_0, rat_35/64) = 1 & rat_$greatereq(rat_0, rat_9/16) = 1 & % 16.37/3.28 rat_$greatereq(rat_0, rat_7/8) = 1 & rat_$greatereq(rat_0, rat_5/8) = 1 & % 16.37/3.28 rat_$greatereq(rat_0, rat_0) = 0 & rat_$lesseq(rat_very_small, rat_very_large) % 16.37/3.28 = 0 & rat_$lesseq(rat_35/64, rat_35/64) = 0 & rat_$lesseq(rat_35/64, rat_9/16) % 16.37/3.28 = 0 & rat_$lesseq(rat_35/64, rat_7/8) = 0 & rat_$lesseq(rat_35/64, rat_5/8) = % 16.37/3.28 0 & rat_$lesseq(rat_35/64, rat_0) = 1 & rat_$lesseq(rat_9/16, rat_35/64) = 1 & % 16.37/3.28 rat_$lesseq(rat_9/16, rat_9/16) = 0 & rat_$lesseq(rat_9/16, rat_7/8) = 0 & % 16.37/3.28 rat_$lesseq(rat_9/16, rat_5/8) = 0 & rat_$lesseq(rat_9/16, rat_0) = 1 & % 16.37/3.28 rat_$lesseq(rat_7/8, rat_35/64) = 1 & rat_$lesseq(rat_7/8, rat_9/16) = 1 & % 16.37/3.28 rat_$lesseq(rat_7/8, rat_7/8) = 0 & rat_$lesseq(rat_7/8, rat_5/8) = 1 & % 16.37/3.28 rat_$lesseq(rat_7/8, rat_0) = 1 & rat_$lesseq(rat_5/8, rat_35/64) = 1 & % 16.37/3.28 rat_$lesseq(rat_5/8, rat_9/16) = 1 & rat_$lesseq(rat_5/8, rat_7/8) = 0 & % 16.37/3.28 rat_$lesseq(rat_5/8, rat_5/8) = 0 & rat_$lesseq(rat_5/8, rat_0) = 1 & % 16.37/3.28 rat_$lesseq(rat_0, rat_35/64) = 0 & rat_$lesseq(rat_0, rat_9/16) = 0 & % 16.37/3.28 rat_$lesseq(rat_0, rat_7/8) = 0 & rat_$lesseq(rat_0, rat_5/8) = 0 & % 16.37/3.28 rat_$lesseq(rat_0, rat_0) = 0 & rat_$greater(rat_very_large, rat_35/64) = 0 & % 16.37/3.28 rat_$greater(rat_very_large, rat_9/16) = 0 & rat_$greater(rat_very_large, % 16.37/3.28 rat_7/8) = 0 & rat_$greater(rat_very_large, rat_5/8) = 0 & % 16.37/3.28 rat_$greater(rat_very_large, rat_0) = 0 & rat_$greater(rat_very_small, % 16.37/3.28 rat_very_large) = 1 & rat_$greater(rat_35/64, rat_very_small) = 0 & % 16.37/3.28 rat_$greater(rat_35/64, rat_35/64) = 1 & rat_$greater(rat_35/64, rat_9/16) = 1 % 16.37/3.28 & rat_$greater(rat_35/64, rat_7/8) = 1 & rat_$greater(rat_35/64, rat_5/8) = 1 % 16.37/3.28 & rat_$greater(rat_35/64, rat_0) = 0 & rat_$greater(rat_9/16, rat_very_small) % 16.37/3.28 = 0 & rat_$greater(rat_9/16, rat_35/64) = 0 & rat_$greater(rat_9/16, rat_9/16) % 16.37/3.28 = 1 & rat_$greater(rat_9/16, rat_7/8) = 1 & rat_$greater(rat_9/16, rat_5/8) = % 16.37/3.28 1 & rat_$greater(rat_9/16, rat_0) = 0 & rat_$greater(rat_7/8, rat_very_small) % 16.37/3.28 = 0 & rat_$greater(rat_7/8, rat_35/64) = 0 & rat_$greater(rat_7/8, rat_9/16) = % 16.37/3.28 0 & rat_$greater(rat_7/8, rat_7/8) = 1 & rat_$greater(rat_7/8, rat_5/8) = 0 & % 16.37/3.28 rat_$greater(rat_7/8, rat_0) = 0 & rat_$greater(rat_5/8, rat_very_small) = 0 & % 16.37/3.28 rat_$greater(rat_5/8, rat_35/64) = 0 & rat_$greater(rat_5/8, rat_9/16) = 0 & % 16.37/3.28 rat_$greater(rat_5/8, rat_7/8) = 1 & rat_$greater(rat_5/8, rat_5/8) = 1 & % 16.37/3.28 rat_$greater(rat_5/8, rat_0) = 0 & rat_$greater(rat_0, rat_very_small) = 0 & % 16.37/3.28 rat_$greater(rat_0, rat_35/64) = 1 & rat_$greater(rat_0, rat_9/16) = 1 & % 16.37/3.28 rat_$greater(rat_0, rat_7/8) = 1 & rat_$greater(rat_0, rat_5/8) = 1 & % 16.37/3.28 rat_$greater(rat_0, rat_0) = 1 & rat_$less(rat_very_small, rat_very_large) = 0 % 16.37/3.28 & rat_$less(rat_very_small, rat_35/64) = 0 & rat_$less(rat_very_small, % 16.37/3.28 rat_9/16) = 0 & rat_$less(rat_very_small, rat_7/8) = 0 & % 16.37/3.28 rat_$less(rat_very_small, rat_5/8) = 0 & rat_$less(rat_very_small, rat_0) = 0 % 16.37/3.28 & rat_$less(rat_35/64, rat_very_large) = 0 & rat_$less(rat_35/64, rat_35/64) = % 16.37/3.28 1 & rat_$less(rat_35/64, rat_9/16) = 0 & rat_$less(rat_35/64, rat_7/8) = 0 & % 16.37/3.28 rat_$less(rat_35/64, rat_5/8) = 0 & rat_$less(rat_35/64, rat_0) = 1 & % 16.37/3.28 rat_$less(rat_9/16, rat_very_large) = 0 & rat_$less(rat_9/16, rat_35/64) = 1 & % 16.37/3.28 rat_$less(rat_9/16, rat_9/16) = 1 & rat_$less(rat_9/16, rat_7/8) = 0 & % 16.37/3.28 rat_$less(rat_9/16, rat_5/8) = 0 & rat_$less(rat_9/16, rat_0) = 1 & % 16.37/3.28 rat_$less(rat_7/8, rat_very_large) = 0 & rat_$less(rat_7/8, rat_35/64) = 1 & % 16.37/3.28 rat_$less(rat_7/8, rat_9/16) = 1 & rat_$less(rat_7/8, rat_7/8) = 1 & % 16.37/3.28 rat_$less(rat_7/8, rat_5/8) = 1 & rat_$less(rat_7/8, rat_0) = 1 & % 16.37/3.28 rat_$less(rat_5/8, rat_very_large) = 0 & rat_$less(rat_5/8, rat_35/64) = 1 & % 16.37/3.28 rat_$less(rat_5/8, rat_9/16) = 1 & rat_$less(rat_5/8, rat_7/8) = 0 & % 16.37/3.28 rat_$less(rat_5/8, rat_5/8) = 1 & rat_$less(rat_5/8, rat_0) = 1 & % 16.37/3.28 rat_$less(rat_0, rat_very_large) = 0 & rat_$less(rat_0, rat_35/64) = 0 & % 16.37/3.28 rat_$less(rat_0, rat_9/16) = 0 & rat_$less(rat_0, rat_7/8) = 0 & % 16.37/3.28 rat_$less(rat_0, rat_5/8) = 0 & rat_$less(rat_0, rat_0) = 1 & ! [v0: $rat] : % 16.37/3.28 ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : ! [v4: $rat] : ( ~ % 16.37/3.28 (rat_$sum(v3, v0) = v4) | ~ (rat_$sum(v2, v1) = v3) | ? [v5: $rat] : % 16.37/3.28 (rat_$sum(v2, v5) = v4 & rat_$sum(v1, v0) = v5)) & ! [v0: $rat] : ! [v1: % 16.37/3.28 $rat] : ! [v2: $rat] : ! [v3: $rat] : (v3 = v1 | v0 = rat_0 | ~ % 16.37/3.28 (rat_$quotient(v2, v0) = v3) | ~ (rat_$product(v1, v0) = v2)) & ! [v0: % 16.37/3.28 $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: int] : (v3 = 0 | ~ % 16.37/3.28 (rat_$lesseq(v2, v0) = v3) | ~ (rat_$lesseq(v1, v0) = 0) | ? [v4: int] : ( % 16.37/3.28 ~ (v4 = 0) & rat_$lesseq(v2, v1) = v4)) & ! [v0: $rat] : ! [v1: $rat] : % 16.37/3.28 ! [v2: $rat] : ! [v3: int] : (v3 = 0 | ~ (rat_$lesseq(v1, v0) = 0) | ~ % 16.37/3.28 (rat_$less(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & rat_$less(v2, v1) = % 16.37/3.28 v4)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : ( ~ % 16.37/3.28 (rat_$uminus(v0) = v2) | ~ (rat_$sum(v1, v2) = v3) | rat_$difference(v1, % 16.37/3.28 v0) = v3) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : (v2 = rat_0 | % 16.37/3.28 ~ (rat_$uminus(v0) = v1) | ~ (rat_$sum(v0, v1) = v2)) & ! [v0: $rat] : ! % 16.37/3.28 [v1: $rat] : ! [v2: int] : (v2 = 0 | ~ (rat_$greatereq(v0, v1) = v2) | ? % 16.37/3.28 [v3: int] : ( ~ (v3 = 0) & rat_$lesseq(v1, v0) = v3)) & ! [v0: $rat] : ! % 16.37/3.28 [v1: $rat] : ! [v2: int] : (v2 = 0 | ~ (rat_$lesseq(v1, v0) = v2) | ( ~ (v1 % 16.37/3.28 = v0) & ? [v3: int] : ( ~ (v3 = 0) & rat_$less(v1, v0) = v3))) & ! % 16.37/3.28 [v0: $rat] : ! [v1: $rat] : ! [v2: int] : (v2 = 0 | ~ (rat_$greater(v0, v1) % 16.37/3.28 = v2) | ? [v3: int] : ( ~ (v3 = 0) & rat_$less(v1, v0) = v3)) & ! [v0: % 16.37/3.28 $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$product(v0, v1) = v2) | % 16.37/3.28 rat_$product(v1, v0) = v2) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : % 16.37/3.28 ( ~ (rat_$sum(v0, v1) = v2) | rat_$sum(v1, v0) = v2) & ! [v0: $rat] : ! [v1: % 16.37/3.28 $rat] : ! [v2: $rat] : ( ~ (rat_$lesseq(v2, v1) = 0) | ~ (rat_$less(v1, % 16.37/3.28 v0) = 0) | rat_$less(v2, v0) = 0) & ! [v0: $rat] : ! [v1: $rat] : (v1 % 16.37/3.28 = v0 | ~ (rat_$sum(v0, rat_0) = v1)) & ! [v0: $rat] : ! [v1: $rat] : (v1 % 16.37/3.28 = v0 | ~ (rat_$lesseq(v1, v0) = 0) | rat_$less(v1, v0) = 0) & ! [v0: $rat] % 16.37/3.28 : ! [v1: $rat] : ( ~ (rat_$uminus(v0) = v1) | rat_$uminus(v1) = v0) & ! [v0: % 16.37/3.28 $rat] : ! [v1: $rat] : ( ~ (rat_$greatereq(v0, v1) = 0) | rat_$lesseq(v1, % 16.37/3.28 v0) = 0) & ! [v0: $rat] : ! [v1: $rat] : ( ~ (rat_$greater(v0, v1) = 0) % 16.37/3.28 | rat_$less(v1, v0) = 0) & ! [v0: $rat] : (v0 = rat_0 | ~ (rat_$uminus(v0) % 16.37/3.28 = v0)) % 16.37/3.28 % 16.37/3.28 Those formulas are unsatisfiable: % 16.37/3.28 --------------------------------- % 16.37/3.28 % 16.37/3.28 Begin of proof % 16.37/3.28 | % 16.37/3.28 | ALPHA: (input) implies: % 16.37/3.28 | (1) ~ (rat_35/64 = rat_9/16) % 16.37/3.28 | % 16.37/3.29 | REDUCE: (1), (rat_product_problem_12) imply: % 16.37/3.29 | (2) $false % 16.37/3.29 | % 16.37/3.29 | CLOSE: (2) is inconsistent. % 16.37/3.29 | % 16.37/3.29 End of proof % 16.37/3.29 % SZS output end Proof for theBenchmark % 16.37/3.29 % 16.37/3.29 2630ms %------------------------------------------------------------------------------