%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ARI339_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 : n023.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 7.41s 1.70s % Output : Proof 22.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : ARI339_1 : TPTP v8.1.2. Released v5.0.0. % 0.03/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n023.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 18:57:25 EDT 2023 % 0.13/0.34 % CPUTime : % 0.66/0.65 ________ _____ % 0.66/0.65 ___ __ \_________(_)________________________________ % 0.66/0.65 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.66/0.65 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.66/0.65 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.66/0.65 % 0.66/0.65 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.66/0.65 (2023-06-19) % 0.66/0.65 % 0.66/0.65 (c) Philipp Rümmer, 2009-2023 % 0.66/0.65 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.66/0.65 Amanda Stjerna. % 0.66/0.65 Free software under BSD-3-Clause. % 0.66/0.65 % 0.66/0.65 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.66/0.65 % 0.66/0.65 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.66/0.66 Running up to 7 provers in parallel. % 0.76/0.67 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.76/0.67 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.76/0.67 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.76/0.67 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.76/0.67 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.76/0.67 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.76/0.67 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.84/0.93 Prover 0: Warning: Problem contains rationals, using incomplete axiomatisation % 1.84/0.93 Prover 5: Warning: Problem contains rationals, using incomplete axiomatisation % 1.84/0.93 Prover 6: Warning: Problem contains rationals, using incomplete axiomatisation % 1.84/0.93 Prover 3: Warning: Problem contains rationals, using incomplete axiomatisation % 1.84/0.93 Prover 4: Warning: Problem contains rationals, using incomplete axiomatisation % 1.84/0.93 Prover 1: Warning: Problem contains rationals, using incomplete axiomatisation % 1.84/0.93 Prover 2: Warning: Problem contains rationals, using incomplete axiomatisation % 2.62/1.05 Prover 4: Preprocessing ... % 2.62/1.05 Prover 1: Preprocessing ... % 2.87/1.11 Prover 6: Preprocessing ... % 2.87/1.12 Prover 0: Preprocessing ... % 6.25/1.53 Prover 3: Preprocessing ... % 6.25/1.53 Prover 2: Preprocessing ... % 6.25/1.54 Prover 5: Preprocessing ... % 7.09/1.66 Prover 6: Constructing countermodel ... % 7.41/1.68 Prover 0: Constructing countermodel ... % 7.41/1.69 Prover 1: Constructing countermodel ... % 7.41/1.70 Prover 6: proved (1026ms) % 7.41/1.70 Prover 0: proved (1028ms) % 7.41/1.70 % 7.41/1.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 7.41/1.70 % 7.41/1.70 % 7.41/1.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 7.41/1.70 % 7.41/1.70 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 7.41/1.70 Prover 7: Warning: Problem contains rationals, using incomplete axiomatisation % 7.41/1.70 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 7.41/1.71 Prover 8: Warning: Problem contains rationals, using incomplete axiomatisation % 7.41/1.73 Prover 8: Preprocessing ... % 8.07/1.79 Prover 4: Constructing countermodel ... % 9.30/1.93 Prover 7: Preprocessing ... % 9.69/1.99 Prover 8: Warning: ignoring some quantifiers % 9.69/2.00 Prover 8: Constructing countermodel ... % 10.24/2.05 Prover 1: Found proof (size 7) % 10.24/2.05 Prover 1: proved (1388ms) % 10.24/2.06 Prover 4: stopped % 10.24/2.06 Prover 8: stopped % 15.05/2.74 Prover 2: stopped % 15.34/2.79 Prover 7: stopped % 20.33/3.74 Prover 5: Constructing countermodel ... % 20.33/3.74 Prover 5: stopped % 21.71/4.20 Prover 3: Constructing countermodel ... % 21.71/4.21 Prover 3: stopped % 21.71/4.21 % 21.71/4.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 21.71/4.21 % 21.71/4.21 % SZS output start Proof for theBenchmark % 21.71/4.22 Assumptions after simplification: % 21.71/4.22 --------------------------------- % 21.71/4.22 % 21.71/4.22 (rat_combined_problem_5) % 22.01/4.26 ? [v0: int] : ( ~ (v0 = 0) & rat_$less(rat_61/10, rat_7) = v0) % 22.01/4.26 % 22.01/4.26 (input) % 22.50/4.34 ~ (rat_very_large = rat_very_small) & ~ (rat_very_large = rat_7) & ~ % 22.50/4.34 (rat_very_large = rat_61/10) & ~ (rat_very_large = rat_37/10) & ~ % 22.50/4.34 (rat_very_large = rat_12/5) & ~ (rat_very_large = rat_0) & ~ (rat_very_small % 22.50/4.34 = rat_7) & ~ (rat_very_small = rat_61/10) & ~ (rat_very_small = rat_37/10) % 22.50/4.34 & ~ (rat_very_small = rat_12/5) & ~ (rat_very_small = rat_0) & ~ (rat_7 = % 22.50/4.34 rat_61/10) & ~ (rat_7 = rat_37/10) & ~ (rat_7 = rat_12/5) & ~ (rat_7 = % 22.50/4.34 rat_0) & ~ (rat_61/10 = rat_37/10) & ~ (rat_61/10 = rat_12/5) & ~ % 22.50/4.34 (rat_61/10 = rat_0) & ~ (rat_37/10 = rat_12/5) & ~ (rat_37/10 = rat_0) & ~ % 22.50/4.34 (rat_12/5 = rat_0) & rat_$is_int(rat_7) = 0 & rat_$is_int(rat_61/10) = 1 & % 22.50/4.34 rat_$is_int(rat_37/10) = 1 & rat_$is_int(rat_12/5) = 1 & rat_$is_int(rat_0) = % 22.50/4.34 0 & rat_$is_rat(rat_7) = 0 & rat_$is_rat(rat_61/10) = 0 & % 22.50/4.34 rat_$is_rat(rat_37/10) = 0 & rat_$is_rat(rat_12/5) = 0 & rat_$is_rat(rat_0) = % 22.50/4.34 0 & rat_$floor(rat_7) = rat_7 & rat_$floor(rat_0) = rat_0 & % 22.50/4.34 rat_$ceiling(rat_7) = rat_7 & rat_$ceiling(rat_61/10) = rat_7 & % 22.50/4.34 rat_$ceiling(rat_0) = rat_0 & rat_$truncate(rat_7) = rat_7 & % 22.50/4.34 rat_$truncate(rat_0) = rat_0 & rat_$round(rat_7) = rat_7 & rat_$round(rat_0) = % 22.50/4.34 rat_0 & rat_$to_int(rat_7) = 7 & rat_$to_int(rat_61/10) = 6 & % 22.50/4.34 rat_$to_int(rat_37/10) = 3 & rat_$to_int(rat_12/5) = 2 & rat_$to_int(rat_0) = % 22.50/4.34 0 & rat_$to_rat(rat_7) = rat_7 & rat_$to_rat(rat_61/10) = rat_61/10 & % 22.50/4.34 rat_$to_rat(rat_37/10) = rat_37/10 & rat_$to_rat(rat_12/5) = rat_12/5 & % 22.50/4.34 rat_$to_rat(rat_0) = rat_0 & rat_$to_real(rat_7) = real_7 & % 22.50/4.34 rat_$to_real(rat_61/10) = real_61/10 & rat_$to_real(rat_37/10) = real_37/10 & % 22.50/4.34 rat_$to_real(rat_12/5) = real_12/5 & rat_$to_real(rat_0) = real_0 & % 22.50/4.34 int_$to_rat(7) = rat_7 & int_$to_rat(0) = rat_0 & rat_$quotient(rat_0, rat_7) % 22.50/4.34 = rat_0 & rat_$quotient(rat_0, rat_61/10) = rat_0 & rat_$quotient(rat_0, % 22.50/4.34 rat_37/10) = rat_0 & rat_$quotient(rat_0, rat_12/5) = rat_0 & % 22.50/4.34 rat_$product(rat_7, rat_0) = rat_0 & rat_$product(rat_61/10, rat_0) = rat_0 & % 22.50/4.34 rat_$product(rat_37/10, rat_0) = rat_0 & rat_$product(rat_12/5, rat_0) = rat_0 % 22.50/4.34 & rat_$product(rat_0, rat_7) = rat_0 & rat_$product(rat_0, rat_61/10) = rat_0 % 22.50/4.34 & rat_$product(rat_0, rat_37/10) = rat_0 & rat_$product(rat_0, rat_12/5) = % 22.50/4.34 rat_0 & rat_$product(rat_0, rat_0) = rat_0 & rat_$difference(rat_7, rat_7) = % 22.50/4.34 rat_0 & rat_$difference(rat_7, rat_0) = rat_7 & rat_$difference(rat_61/10, % 22.50/4.34 rat_61/10) = rat_0 & rat_$difference(rat_61/10, rat_37/10) = rat_12/5 & % 22.50/4.34 rat_$difference(rat_61/10, rat_12/5) = rat_37/10 & rat_$difference(rat_61/10, % 22.50/4.34 rat_0) = rat_61/10 & rat_$difference(rat_37/10, rat_37/10) = rat_0 & % 22.50/4.34 rat_$difference(rat_37/10, rat_0) = rat_37/10 & rat_$difference(rat_12/5, % 22.50/4.34 rat_12/5) = rat_0 & rat_$difference(rat_12/5, rat_0) = rat_12/5 & % 22.50/4.34 rat_$difference(rat_0, rat_0) = rat_0 & rat_$uminus(rat_0) = rat_0 & % 22.50/4.34 rat_$sum(rat_7, rat_0) = rat_7 & rat_$sum(rat_61/10, rat_0) = rat_61/10 & % 22.50/4.34 rat_$sum(rat_37/10, rat_12/5) = rat_61/10 & rat_$sum(rat_37/10, rat_0) = % 22.50/4.34 rat_37/10 & rat_$sum(rat_12/5, rat_37/10) = rat_61/10 & rat_$sum(rat_12/5, % 22.50/4.34 rat_0) = rat_12/5 & rat_$sum(rat_0, rat_7) = rat_7 & rat_$sum(rat_0, % 22.50/4.34 rat_61/10) = rat_61/10 & rat_$sum(rat_0, rat_37/10) = rat_37/10 & % 22.50/4.34 rat_$sum(rat_0, rat_12/5) = rat_12/5 & rat_$sum(rat_0, rat_0) = rat_0 & % 22.50/4.34 rat_$greatereq(rat_very_small, rat_very_large) = 1 & rat_$greatereq(rat_7, % 22.50/4.34 rat_7) = 0 & rat_$greatereq(rat_7, rat_61/10) = 0 & rat_$greatereq(rat_7, % 22.50/4.34 rat_37/10) = 0 & rat_$greatereq(rat_7, rat_12/5) = 0 & rat_$greatereq(rat_7, % 22.50/4.34 rat_0) = 0 & rat_$greatereq(rat_61/10, rat_7) = 1 & % 22.50/4.34 rat_$greatereq(rat_61/10, rat_61/10) = 0 & rat_$greatereq(rat_61/10, % 22.50/4.34 rat_37/10) = 0 & rat_$greatereq(rat_61/10, rat_12/5) = 0 & % 22.50/4.34 rat_$greatereq(rat_61/10, rat_0) = 0 & rat_$greatereq(rat_37/10, rat_7) = 1 & % 22.50/4.34 rat_$greatereq(rat_37/10, rat_61/10) = 1 & rat_$greatereq(rat_37/10, % 22.50/4.34 rat_37/10) = 0 & rat_$greatereq(rat_37/10, rat_12/5) = 0 & % 22.50/4.35 rat_$greatereq(rat_37/10, rat_0) = 0 & rat_$greatereq(rat_12/5, rat_7) = 1 & % 22.50/4.35 rat_$greatereq(rat_12/5, rat_61/10) = 1 & rat_$greatereq(rat_12/5, rat_37/10) % 22.50/4.35 = 1 & rat_$greatereq(rat_12/5, rat_12/5) = 0 & rat_$greatereq(rat_12/5, rat_0) % 22.50/4.35 = 0 & rat_$greatereq(rat_0, rat_7) = 1 & rat_$greatereq(rat_0, rat_61/10) = 1 % 22.50/4.35 & rat_$greatereq(rat_0, rat_37/10) = 1 & rat_$greatereq(rat_0, rat_12/5) = 1 & % 22.50/4.35 rat_$greatereq(rat_0, rat_0) = 0 & rat_$lesseq(rat_very_small, rat_very_large) % 22.50/4.35 = 0 & rat_$lesseq(rat_7, rat_7) = 0 & rat_$lesseq(rat_7, rat_61/10) = 1 & % 22.50/4.35 rat_$lesseq(rat_7, rat_37/10) = 1 & rat_$lesseq(rat_7, rat_12/5) = 1 & % 22.50/4.35 rat_$lesseq(rat_7, rat_0) = 1 & rat_$lesseq(rat_61/10, rat_7) = 0 & % 22.50/4.35 rat_$lesseq(rat_61/10, rat_61/10) = 0 & rat_$lesseq(rat_61/10, rat_37/10) = 1 % 22.50/4.35 & rat_$lesseq(rat_61/10, rat_12/5) = 1 & rat_$lesseq(rat_61/10, rat_0) = 1 & % 22.50/4.35 rat_$lesseq(rat_37/10, rat_7) = 0 & rat_$lesseq(rat_37/10, rat_61/10) = 0 & % 22.50/4.35 rat_$lesseq(rat_37/10, rat_37/10) = 0 & rat_$lesseq(rat_37/10, rat_12/5) = 1 & % 22.50/4.35 rat_$lesseq(rat_37/10, rat_0) = 1 & rat_$lesseq(rat_12/5, rat_7) = 0 & % 22.50/4.35 rat_$lesseq(rat_12/5, rat_61/10) = 0 & rat_$lesseq(rat_12/5, rat_37/10) = 0 & % 22.50/4.35 rat_$lesseq(rat_12/5, rat_12/5) = 0 & rat_$lesseq(rat_12/5, rat_0) = 1 & % 22.50/4.35 rat_$lesseq(rat_0, rat_7) = 0 & rat_$lesseq(rat_0, rat_61/10) = 0 & % 22.50/4.35 rat_$lesseq(rat_0, rat_37/10) = 0 & rat_$lesseq(rat_0, rat_12/5) = 0 & % 22.50/4.35 rat_$lesseq(rat_0, rat_0) = 0 & rat_$greater(rat_very_large, rat_7) = 0 & % 22.50/4.35 rat_$greater(rat_very_large, rat_61/10) = 0 & rat_$greater(rat_very_large, % 22.50/4.35 rat_37/10) = 0 & rat_$greater(rat_very_large, rat_12/5) = 0 & % 22.50/4.35 rat_$greater(rat_very_large, rat_0) = 0 & rat_$greater(rat_very_small, % 22.50/4.35 rat_very_large) = 1 & rat_$greater(rat_7, rat_very_small) = 0 & % 22.50/4.35 rat_$greater(rat_7, rat_7) = 1 & rat_$greater(rat_7, rat_61/10) = 0 & % 22.50/4.35 rat_$greater(rat_7, rat_37/10) = 0 & rat_$greater(rat_7, rat_12/5) = 0 & % 22.50/4.35 rat_$greater(rat_7, rat_0) = 0 & rat_$greater(rat_61/10, rat_very_small) = 0 & % 22.50/4.35 rat_$greater(rat_61/10, rat_7) = 1 & rat_$greater(rat_61/10, rat_61/10) = 1 & % 22.50/4.35 rat_$greater(rat_61/10, rat_37/10) = 0 & rat_$greater(rat_61/10, rat_12/5) = 0 % 22.50/4.35 & rat_$greater(rat_61/10, rat_0) = 0 & rat_$greater(rat_37/10, rat_very_small) % 22.50/4.35 = 0 & rat_$greater(rat_37/10, rat_7) = 1 & rat_$greater(rat_37/10, rat_61/10) % 22.50/4.35 = 1 & rat_$greater(rat_37/10, rat_37/10) = 1 & rat_$greater(rat_37/10, % 22.50/4.35 rat_12/5) = 0 & rat_$greater(rat_37/10, rat_0) = 0 & rat_$greater(rat_12/5, % 22.50/4.35 rat_very_small) = 0 & rat_$greater(rat_12/5, rat_7) = 1 & % 22.50/4.35 rat_$greater(rat_12/5, rat_61/10) = 1 & rat_$greater(rat_12/5, rat_37/10) = 1 % 22.50/4.35 & rat_$greater(rat_12/5, rat_12/5) = 1 & rat_$greater(rat_12/5, rat_0) = 0 & % 22.50/4.35 rat_$greater(rat_0, rat_very_small) = 0 & rat_$greater(rat_0, rat_7) = 1 & % 22.50/4.35 rat_$greater(rat_0, rat_61/10) = 1 & rat_$greater(rat_0, rat_37/10) = 1 & % 22.50/4.35 rat_$greater(rat_0, rat_12/5) = 1 & rat_$greater(rat_0, rat_0) = 1 & % 22.50/4.35 rat_$less(rat_very_small, rat_very_large) = 0 & rat_$less(rat_very_small, % 22.50/4.35 rat_7) = 0 & rat_$less(rat_very_small, rat_61/10) = 0 & % 22.50/4.35 rat_$less(rat_very_small, rat_37/10) = 0 & rat_$less(rat_very_small, rat_12/5) % 22.50/4.35 = 0 & rat_$less(rat_very_small, rat_0) = 0 & rat_$less(rat_7, rat_very_large) % 22.50/4.35 = 0 & rat_$less(rat_7, rat_7) = 1 & rat_$less(rat_7, rat_61/10) = 1 & % 22.50/4.35 rat_$less(rat_7, rat_37/10) = 1 & rat_$less(rat_7, rat_12/5) = 1 & % 22.50/4.35 rat_$less(rat_7, rat_0) = 1 & rat_$less(rat_61/10, rat_very_large) = 0 & % 22.50/4.35 rat_$less(rat_61/10, rat_7) = 0 & rat_$less(rat_61/10, rat_61/10) = 1 & % 22.50/4.35 rat_$less(rat_61/10, rat_37/10) = 1 & rat_$less(rat_61/10, rat_12/5) = 1 & % 22.50/4.35 rat_$less(rat_61/10, rat_0) = 1 & rat_$less(rat_37/10, rat_very_large) = 0 & % 22.50/4.35 rat_$less(rat_37/10, rat_7) = 0 & rat_$less(rat_37/10, rat_61/10) = 0 & % 22.50/4.35 rat_$less(rat_37/10, rat_37/10) = 1 & rat_$less(rat_37/10, rat_12/5) = 1 & % 22.50/4.35 rat_$less(rat_37/10, rat_0) = 1 & rat_$less(rat_12/5, rat_very_large) = 0 & % 22.50/4.35 rat_$less(rat_12/5, rat_7) = 0 & rat_$less(rat_12/5, rat_61/10) = 0 & % 22.50/4.35 rat_$less(rat_12/5, rat_37/10) = 0 & rat_$less(rat_12/5, rat_12/5) = 1 & % 22.50/4.35 rat_$less(rat_12/5, rat_0) = 1 & rat_$less(rat_0, rat_very_large) = 0 & % 22.50/4.35 rat_$less(rat_0, rat_7) = 0 & rat_$less(rat_0, rat_61/10) = 0 & % 22.50/4.35 rat_$less(rat_0, rat_37/10) = 0 & rat_$less(rat_0, rat_12/5) = 0 & % 22.50/4.35 rat_$less(rat_0, rat_0) = 1 & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : % 22.50/4.35 ! [v3: $rat] : ! [v4: $rat] : ( ~ (rat_$sum(v3, v0) = v4) | ~ (rat_$sum(v2, % 22.50/4.35 v1) = v3) | ? [v5: $rat] : (rat_$sum(v2, v5) = v4 & rat_$sum(v1, v0) = % 22.50/4.35 v5)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : (v3 % 22.50/4.35 = v1 | v0 = rat_0 | ~ (rat_$quotient(v2, v0) = v3) | ~ (rat_$product(v1, % 22.50/4.35 v0) = v2)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: % 22.50/4.35 int] : (v3 = 0 | ~ (rat_$lesseq(v2, v0) = v3) | ~ (rat_$lesseq(v1, v0) = % 22.50/4.35 0) | ? [v4: int] : ( ~ (v4 = 0) & rat_$lesseq(v2, v1) = v4)) & ! [v0: % 22.50/4.35 $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: int] : (v3 = 0 | ~ % 22.50/4.35 (rat_$lesseq(v1, v0) = 0) | ~ (rat_$less(v2, v0) = v3) | ? [v4: int] : ( ~ % 22.50/4.35 (v4 = 0) & rat_$less(v2, v1) = v4)) & ! [v0: $rat] : ! [v1: $rat] : ! % 22.50/4.35 [v2: $rat] : ! [v3: $rat] : ( ~ (rat_$uminus(v0) = v2) | ~ (rat_$sum(v1, v2) % 22.50/4.35 = v3) | rat_$difference(v1, v0) = v3) & ! [v0: $rat] : ! [v1: $rat] : ! % 22.50/4.35 [v2: $rat] : (v2 = rat_0 | ~ (rat_$uminus(v0) = v1) | ~ (rat_$sum(v0, v1) = % 22.50/4.35 v2)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: int] : (v2 = 0 | ~ % 22.50/4.35 (rat_$greatereq(v0, v1) = v2) | ? [v3: int] : ( ~ (v3 = 0) & % 22.50/4.35 rat_$lesseq(v1, v0) = v3)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: int] % 22.50/4.35 : (v2 = 0 | ~ (rat_$lesseq(v1, v0) = v2) | ( ~ (v1 = v0) & ? [v3: int] : ( ~ % 22.50/4.35 (v3 = 0) & rat_$less(v1, v0) = v3))) & ! [v0: $rat] : ! [v1: $rat] : % 22.50/4.35 ! [v2: int] : (v2 = 0 | ~ (rat_$greater(v0, v1) = v2) | ? [v3: int] : ( ~ % 22.50/4.35 (v3 = 0) & rat_$less(v1, v0) = v3)) & ! [v0: $rat] : ! [v1: $rat] : ! % 22.50/4.35 [v2: $rat] : ( ~ (rat_$product(v0, v1) = v2) | rat_$product(v1, v0) = v2) & ! % 22.50/4.35 [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$sum(v0, v1) = v2) | % 22.50/4.35 rat_$sum(v1, v0) = v2) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ % 22.50/4.35 (rat_$lesseq(v2, v1) = 0) | ~ (rat_$less(v1, v0) = 0) | rat_$less(v2, v0) = % 22.50/4.35 0) & ! [v0: $rat] : ! [v1: $rat] : (v1 = v0 | ~ (rat_$sum(v0, rat_0) = % 22.50/4.35 v1)) & ! [v0: $rat] : ! [v1: $rat] : (v1 = v0 | ~ (rat_$lesseq(v1, v0) % 22.50/4.35 = 0) | rat_$less(v1, v0) = 0) & ! [v0: $rat] : ! [v1: $rat] : ( ~ % 22.50/4.35 (rat_$uminus(v0) = v1) | rat_$uminus(v1) = v0) & ! [v0: $rat] : ! [v1: % 22.50/4.35 $rat] : ( ~ (rat_$greatereq(v0, v1) = 0) | rat_$lesseq(v1, v0) = 0) & ! % 22.50/4.35 [v0: $rat] : ! [v1: $rat] : ( ~ (rat_$greater(v0, v1) = 0) | rat_$less(v1, % 22.50/4.35 v0) = 0) & ! [v0: $rat] : (v0 = rat_0 | ~ (rat_$uminus(v0) = v0)) % 22.50/4.36 % 22.50/4.36 (function-axioms) % 22.50/4.37 ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : (v1 = v0 | ~ % 22.50/4.37 (rat_$quotient(v3, v2) = v1) | ~ (rat_$quotient(v3, v2) = v0)) & ! [v0: % 22.50/4.37 $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : (v1 = v0 | ~ % 22.50/4.37 (rat_$product(v3, v2) = v1) | ~ (rat_$product(v3, v2) = v0)) & ! [v0: % 22.50/4.37 $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : (v1 = v0 | ~ % 22.50/4.37 (rat_$difference(v3, v2) = v1) | ~ (rat_$difference(v3, v2) = v0)) & ! % 22.50/4.37 [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : (v1 = v0 | ~ % 22.50/4.37 (rat_$sum(v3, v2) = v1) | ~ (rat_$sum(v3, v2) = v0)) & ! [v0: % 22.50/4.37 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $rat] : ! [v3: % 22.50/4.37 $rat] : (v1 = v0 | ~ (rat_$greatereq(v3, v2) = v1) | ~ (rat_$greatereq(v3, % 22.50/4.37 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 22.50/4.37 ! [v2: $rat] : ! [v3: $rat] : (v1 = v0 | ~ (rat_$lesseq(v3, v2) = v1) | ~ % 22.50/4.37 (rat_$lesseq(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 22.50/4.37 MultipleValueBool] : ! [v2: $rat] : ! [v3: $rat] : (v1 = v0 | ~ % 22.50/4.37 (rat_$greater(v3, v2) = v1) | ~ (rat_$greater(v3, v2) = v0)) & ! [v0: % 22.50/4.37 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $rat] : ! [v3: % 22.50/4.37 $rat] : (v1 = v0 | ~ (rat_$less(v3, v2) = v1) | ~ (rat_$less(v3, v2) = % 22.50/4.37 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 22.50/4.37 $rat] : (v1 = v0 | ~ (rat_$is_int(v2) = v1) | ~ (rat_$is_int(v2) = v0)) & % 22.50/4.37 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $rat] : (v1 = % 22.50/4.37 v0 | ~ (rat_$is_rat(v2) = v1) | ~ (rat_$is_rat(v2) = v0)) & ! [v0: $rat] % 22.50/4.37 : ! [v1: $rat] : ! [v2: $rat] : (v1 = v0 | ~ (rat_$floor(v2) = v1) | ~ % 22.50/4.37 (rat_$floor(v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : (v1 % 22.50/4.37 = v0 | ~ (rat_$ceiling(v2) = v1) | ~ (rat_$ceiling(v2) = v0)) & ! [v0: % 22.50/4.37 $rat] : ! [v1: $rat] : ! [v2: $rat] : (v1 = v0 | ~ (rat_$truncate(v2) = % 22.50/4.37 v1) | ~ (rat_$truncate(v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : ! % 22.50/4.37 [v2: $rat] : (v1 = v0 | ~ (rat_$round(v2) = v1) | ~ (rat_$round(v2) = v0)) & % 22.50/4.37 ! [v0: int] : ! [v1: int] : ! [v2: $rat] : (v1 = v0 | ~ (rat_$to_int(v2) = % 22.50/4.37 v1) | ~ (rat_$to_int(v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: % 22.50/4.37 $rat] : (v1 = v0 | ~ (rat_$to_rat(v2) = v1) | ~ (rat_$to_rat(v2) = v0)) & % 22.50/4.37 ! [v0: $real] : ! [v1: $real] : ! [v2: $rat] : (v1 = v0 | ~ % 22.50/4.37 (rat_$to_real(v2) = v1) | ~ (rat_$to_real(v2) = v0)) & ! [v0: $rat] : ! % 22.50/4.37 [v1: $rat] : ! [v2: int] : (v1 = v0 | ~ (int_$to_rat(v2) = v1) | ~ % 22.50/4.37 (int_$to_rat(v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : % 22.50/4.37 (v1 = v0 | ~ (rat_$uminus(v2) = v1) | ~ (rat_$uminus(v2) = v0)) % 22.50/4.37 % 22.50/4.37 Those formulas are unsatisfiable: % 22.50/4.37 --------------------------------- % 22.50/4.37 % 22.50/4.37 Begin of proof % 22.50/4.37 | % 22.50/4.37 | ALPHA: (function-axioms) implies: % 22.50/4.37 | (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $rat] % 22.50/4.37 | : ! [v3: $rat] : (v1 = v0 | ~ (rat_$less(v3, v2) = v1) | ~ % 22.50/4.37 | (rat_$less(v3, v2) = v0)) % 22.50/4.37 | % 22.50/4.37 | ALPHA: (input) implies: % 22.50/4.37 | (2) rat_$less(rat_61/10, rat_7) = 0 % 22.50/4.37 | % 22.50/4.38 | DELTA: instantiating (rat_combined_problem_5) with fresh symbol all_5_0 gives: % 22.50/4.38 | (3) ~ (all_5_0 = 0) & rat_$less(rat_61/10, rat_7) = all_5_0 % 22.50/4.38 | % 22.50/4.38 | ALPHA: (3) implies: % 22.50/4.38 | (4) ~ (all_5_0 = 0) % 22.50/4.38 | (5) rat_$less(rat_61/10, rat_7) = all_5_0 % 22.50/4.38 | % 22.50/4.38 | GROUND_INST: instantiating (1) with 0, all_5_0, rat_7, rat_61/10, simplifying % 22.50/4.38 | with (2), (5) gives: % 22.72/4.38 | (6) all_5_0 = 0 % 22.72/4.38 | % 22.72/4.38 | REDUCE: (4), (6) imply: % 22.72/4.38 | (7) $false % 22.72/4.38 | % 22.72/4.38 | CLOSE: (7) is inconsistent. % 22.72/4.38 | % 22.72/4.38 End of proof % 22.72/4.38 % SZS output end Proof for theBenchmark % 22.72/4.38 % 22.72/4.38 3734ms %------------------------------------------------------------------------------