%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ARI627_1 : TPTP v8.1.2. Released v6.1.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n002.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 17:48:37 EDT 2023 % Result : Theorem 8.57s 1.94s % Output : Proof 16.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.08 % Problem : ARI627_1 : TPTP v8.1.2. Released v6.1.0. % 0.00/0.08 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.08/0.27 % Computer : n002.cluster.edu % 0.08/0.27 % Model : x86_64 x86_64 % 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.27 % Memory : 8042.1875MB % 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.27 % CPULimit : 300 % 0.08/0.27 % WCLimit : 300 % 0.08/0.27 % DateTime : Tue Aug 29 18:54:50 EDT 2023 % 0.08/0.28 % CPUTime : % 0.13/0.55 ________ _____ % 0.13/0.55 ___ __ \_________(_)________________________________ % 0.13/0.55 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.13/0.55 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.13/0.55 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.13/0.55 % 0.13/0.55 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.13/0.55 (2023-06-19) % 0.13/0.55 % 0.13/0.55 (c) Philipp Rümmer, 2009-2023 % 0.13/0.55 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.13/0.55 Amanda Stjerna. % 0.13/0.55 Free software under BSD-3-Clause. % 0.13/0.55 % 0.13/0.55 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.13/0.55 % 0.13/0.55 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.13/0.57 Running up to 7 provers in parallel. % 0.13/0.59 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.13/0.59 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.13/0.59 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.13/0.59 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.13/0.59 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.13/0.59 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.13/0.59 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.36/0.92 Prover 0: Warning: Problem contains rationals, using incomplete axiomatisation % 1.36/0.92 Prover 3: Warning: Problem contains rationals, using incomplete axiomatisation % 1.36/0.92 Prover 5: Warning: Problem contains rationals, using incomplete axiomatisation % 1.36/0.92 Prover 1: Warning: Problem contains rationals, using incomplete axiomatisation % 1.36/0.92 Prover 2: Warning: Problem contains rationals, using incomplete axiomatisation % 1.36/0.92 Prover 4: Warning: Problem contains rationals, using incomplete axiomatisation % 1.36/0.92 Prover 6: Warning: Problem contains rationals, using incomplete axiomatisation % 2.20/1.09 Prover 4: Preprocessing ... % 2.20/1.10 Prover 1: Preprocessing ... % 3.38/1.22 Prover 6: Preprocessing ... % 3.38/1.23 Prover 0: Preprocessing ... % 4.76/1.39 Prover 3: Preprocessing ... % 4.76/1.41 Prover 2: Preprocessing ... % 4.76/1.45 Prover 5: Preprocessing ... % 7.61/1.86 Prover 6: Constructing countermodel ... % 8.57/1.92 Prover 1: Constructing countermodel ... % 8.57/1.93 Prover 6: proved (1341ms) % 8.57/1.93 % 8.57/1.94 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 8.57/1.94 % 8.57/1.94 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 8.57/1.94 Prover 7: Warning: Problem contains rationals, using incomplete axiomatisation % 8.57/1.95 Prover 0: Constructing countermodel ... % 8.57/1.95 Prover 0: stopped % 8.57/1.96 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 8.57/1.97 Prover 8: Warning: Problem contains rationals, using incomplete axiomatisation % 8.57/1.98 Prover 4: Constructing countermodel ... % 8.57/2.01 Prover 8: Preprocessing ... % 9.30/2.07 Prover 1: Found proof (size 3) % 9.30/2.08 Prover 1: proved (1498ms) % 9.30/2.08 Prover 4: Found proof (size 3) % 9.30/2.08 Prover 4: proved (1488ms) % 9.90/2.11 Prover 7: Preprocessing ... % 10.59/2.25 Prover 8: Warning: ignoring some quantifiers % 11.54/2.33 Prover 8: Constructing countermodel ... % 11.54/2.36 Prover 8: stopped % 11.54/2.36 Prover 2: stopped % 13.20/2.58 Prover 7: stopped % 14.72/2.97 Prover 5: Constructing countermodel ... % 14.72/2.97 Prover 5: stopped % 16.25/3.19 Prover 3: Constructing countermodel ... % 16.25/3.20 Prover 3: stopped % 16.25/3.20 % 16.25/3.20 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 16.25/3.20 % 16.25/3.20 % SZS output start Proof for theBenchmark % 16.25/3.20 Assumptions after simplification: % 16.25/3.20 --------------------------------- % 16.25/3.20 % 16.25/3.20 (the) % 16.25/3.21 rat_2 = rat_18446744073709551615/9223372036854775808 % 16.25/3.21 % 16.25/3.21 (input) % 16.25/3.27 ~ (rat_very_large = rat_very_small) & ~ (rat_very_large = rat_2) & ~ % 16.25/3.27 (rat_very_large = rat_18446744073709551615/9223372036854775808) & ~ % 16.25/3.27 (rat_very_large = rat_18446744073709551615/18446744073709551616) & ~ % 16.25/3.27 (rat_very_large = rat_0) & ~ (rat_very_small = rat_2) & ~ (rat_very_small = % 16.25/3.27 rat_18446744073709551615/9223372036854775808) & ~ (rat_very_small = % 16.25/3.27 rat_18446744073709551615/18446744073709551616) & ~ (rat_very_small = rat_0) % 16.25/3.27 & ~ (rat_2 = rat_18446744073709551615/9223372036854775808) & ~ (rat_2 = % 16.25/3.27 rat_18446744073709551615/18446744073709551616) & ~ (rat_2 = rat_0) & ~ % 16.25/3.27 (rat_18446744073709551615/9223372036854775808 = % 16.25/3.27 rat_18446744073709551615/18446744073709551616) & ~ % 16.25/3.27 (rat_18446744073709551615/9223372036854775808 = rat_0) & ~ % 16.25/3.27 (rat_18446744073709551615/18446744073709551616 = rat_0) & rat_$is_int(rat_2) = % 16.25/3.27 0 & rat_$is_int(rat_18446744073709551615/9223372036854775808) = 1 & % 16.25/3.27 rat_$is_int(rat_18446744073709551615/18446744073709551616) = 1 & % 16.25/3.27 rat_$is_int(rat_0) = 0 & rat_$is_rat(rat_2) = 0 & % 16.25/3.27 rat_$is_rat(rat_18446744073709551615/9223372036854775808) = 0 & % 16.25/3.27 rat_$is_rat(rat_18446744073709551615/18446744073709551616) = 0 & % 16.25/3.27 rat_$is_rat(rat_0) = 0 & rat_$floor(rat_2) = rat_2 & % 16.25/3.27 rat_$floor(rat_18446744073709551615/18446744073709551616) = rat_0 & % 16.25/3.27 rat_$floor(rat_0) = rat_0 & rat_$ceiling(rat_2) = rat_2 & % 16.25/3.27 rat_$ceiling(rat_18446744073709551615/9223372036854775808) = rat_2 & % 16.25/3.27 rat_$ceiling(rat_0) = rat_0 & rat_$truncate(rat_2) = rat_2 & % 16.25/3.27 rat_$truncate(rat_18446744073709551615/18446744073709551616) = rat_0 & % 16.25/3.27 rat_$truncate(rat_0) = rat_0 & rat_$round(rat_2) = rat_2 & % 16.25/3.27 rat_$round(rat_18446744073709551615/9223372036854775808) = rat_2 & % 16.25/3.27 rat_$round(rat_0) = rat_0 & rat_$to_int(rat_2) = 2 & % 16.25/3.27 rat_$to_int(rat_18446744073709551615/9223372036854775808) = 1 & % 16.25/3.27 rat_$to_int(rat_18446744073709551615/18446744073709551616) = 0 & % 16.25/3.27 rat_$to_int(rat_0) = 0 & rat_$to_rat(rat_2) = rat_2 & % 16.25/3.27 rat_$to_rat(rat_18446744073709551615/9223372036854775808) = % 16.25/3.27 rat_18446744073709551615/9223372036854775808 & % 16.25/3.27 rat_$to_rat(rat_18446744073709551615/18446744073709551616) = % 16.25/3.27 rat_18446744073709551615/18446744073709551616 & rat_$to_rat(rat_0) = rat_0 & % 16.25/3.27 rat_$to_real(rat_2) = real_2 & % 16.25/3.27 rat_$to_real(rat_18446744073709551615/9223372036854775808) = % 16.25/3.27 real_18446744073709551615/9223372036854775808 & % 16.25/3.27 rat_$to_real(rat_18446744073709551615/18446744073709551616) = % 16.25/3.27 real_18446744073709551615/18446744073709551616 & rat_$to_real(rat_0) = real_0 % 16.25/3.27 & int_$to_rat(2) = rat_2 & int_$to_rat(0) = rat_0 & % 16.25/3.27 rat_$quotient(rat_18446744073709551615/9223372036854775808, rat_2) = % 16.25/3.27 rat_18446744073709551615/18446744073709551616 & % 16.25/3.27 rat_$quotient(rat_18446744073709551615/9223372036854775808, % 16.25/3.27 rat_18446744073709551615/18446744073709551616) = rat_2 & % 16.25/3.27 rat_$quotient(rat_0, rat_2) = rat_0 & rat_$quotient(rat_0, % 16.25/3.27 rat_18446744073709551615/9223372036854775808) = rat_0 & rat_$quotient(rat_0, % 16.25/3.27 rat_18446744073709551615/18446744073709551616) = rat_0 & rat_$product(rat_2, % 16.25/3.27 rat_18446744073709551615/18446744073709551616) = % 16.25/3.27 rat_18446744073709551615/9223372036854775808 & rat_$product(rat_2, rat_0) = % 16.25/3.27 rat_0 & rat_$product(rat_18446744073709551615/9223372036854775808, rat_0) = % 16.25/3.27 rat_0 & rat_$product(rat_18446744073709551615/18446744073709551616, rat_2) = % 16.25/3.27 rat_18446744073709551615/9223372036854775808 & % 16.25/3.27 rat_$product(rat_18446744073709551615/18446744073709551616, rat_0) = rat_0 & % 16.25/3.27 rat_$product(rat_0, rat_2) = rat_0 & rat_$product(rat_0, % 16.25/3.27 rat_18446744073709551615/9223372036854775808) = rat_0 & rat_$product(rat_0, % 16.25/3.27 rat_18446744073709551615/18446744073709551616) = rat_0 & rat_$product(rat_0, % 16.25/3.27 rat_0) = rat_0 & rat_$difference(rat_2, rat_2) = rat_0 & % 16.25/3.27 rat_$difference(rat_2, rat_0) = rat_2 & % 16.25/3.27 rat_$difference(rat_18446744073709551615/9223372036854775808, % 16.25/3.27 rat_18446744073709551615/9223372036854775808) = rat_0 & % 16.25/3.27 rat_$difference(rat_18446744073709551615/9223372036854775808, % 16.25/3.27 rat_18446744073709551615/18446744073709551616) = % 16.25/3.27 rat_18446744073709551615/18446744073709551616 & % 16.25/3.27 rat_$difference(rat_18446744073709551615/9223372036854775808, rat_0) = % 16.25/3.27 rat_18446744073709551615/9223372036854775808 & % 16.25/3.27 rat_$difference(rat_18446744073709551615/18446744073709551616, % 16.25/3.27 rat_18446744073709551615/18446744073709551616) = rat_0 & % 16.25/3.27 rat_$difference(rat_18446744073709551615/18446744073709551616, rat_0) = % 16.25/3.27 rat_18446744073709551615/18446744073709551616 & rat_$difference(rat_0, rat_0) % 16.25/3.27 = rat_0 & rat_$uminus(rat_0) = rat_0 & rat_$sum(rat_2, rat_0) = rat_2 & % 16.62/3.27 rat_$sum(rat_18446744073709551615/9223372036854775808, rat_0) = % 16.62/3.27 rat_18446744073709551615/9223372036854775808 & % 16.62/3.27 rat_$sum(rat_18446744073709551615/18446744073709551616, % 16.62/3.27 rat_18446744073709551615/18446744073709551616) = % 16.62/3.27 rat_18446744073709551615/9223372036854775808 & % 16.62/3.27 rat_$sum(rat_18446744073709551615/18446744073709551616, rat_0) = % 16.62/3.27 rat_18446744073709551615/18446744073709551616 & rat_$sum(rat_0, rat_2) = rat_2 % 16.62/3.27 & rat_$sum(rat_0, rat_18446744073709551615/9223372036854775808) = % 16.62/3.27 rat_18446744073709551615/9223372036854775808 & rat_$sum(rat_0, % 16.62/3.27 rat_18446744073709551615/18446744073709551616) = % 16.62/3.27 rat_18446744073709551615/18446744073709551616 & rat_$sum(rat_0, rat_0) = rat_0 % 16.62/3.27 & rat_$greatereq(rat_very_small, rat_very_large) = 1 & rat_$greatereq(rat_2, % 16.62/3.27 rat_2) = 0 & rat_$greatereq(rat_2, % 16.62/3.27 rat_18446744073709551615/9223372036854775808) = 0 & rat_$greatereq(rat_2, % 16.62/3.27 rat_18446744073709551615/18446744073709551616) = 0 & rat_$greatereq(rat_2, % 16.62/3.27 rat_0) = 0 & rat_$greatereq(rat_18446744073709551615/9223372036854775808, % 16.62/3.27 rat_2) = 1 & rat_$greatereq(rat_18446744073709551615/9223372036854775808, % 16.62/3.27 rat_18446744073709551615/9223372036854775808) = 0 & % 16.62/3.27 rat_$greatereq(rat_18446744073709551615/9223372036854775808, % 16.62/3.27 rat_18446744073709551615/18446744073709551616) = 0 & % 16.62/3.27 rat_$greatereq(rat_18446744073709551615/9223372036854775808, rat_0) = 0 & % 16.62/3.27 rat_$greatereq(rat_18446744073709551615/18446744073709551616, rat_2) = 1 & % 16.62/3.27 rat_$greatereq(rat_18446744073709551615/18446744073709551616, % 16.62/3.27 rat_18446744073709551615/9223372036854775808) = 1 & % 16.62/3.27 rat_$greatereq(rat_18446744073709551615/18446744073709551616, % 16.62/3.27 rat_18446744073709551615/18446744073709551616) = 0 & % 16.62/3.27 rat_$greatereq(rat_18446744073709551615/18446744073709551616, rat_0) = 0 & % 16.62/3.27 rat_$greatereq(rat_0, rat_2) = 1 & rat_$greatereq(rat_0, % 16.62/3.27 rat_18446744073709551615/9223372036854775808) = 1 & rat_$greatereq(rat_0, % 16.62/3.27 rat_18446744073709551615/18446744073709551616) = 1 & rat_$greatereq(rat_0, % 16.62/3.27 rat_0) = 0 & rat_$lesseq(rat_very_small, rat_very_large) = 0 & % 16.62/3.27 rat_$lesseq(rat_2, rat_2) = 0 & rat_$lesseq(rat_2, % 16.62/3.27 rat_18446744073709551615/9223372036854775808) = 1 & rat_$lesseq(rat_2, % 16.62/3.27 rat_18446744073709551615/18446744073709551616) = 1 & rat_$lesseq(rat_2, % 16.62/3.27 rat_0) = 1 & rat_$lesseq(rat_18446744073709551615/9223372036854775808, % 16.62/3.27 rat_2) = 0 & rat_$lesseq(rat_18446744073709551615/9223372036854775808, % 16.62/3.28 rat_18446744073709551615/9223372036854775808) = 0 & % 16.62/3.28 rat_$lesseq(rat_18446744073709551615/9223372036854775808, % 16.62/3.28 rat_18446744073709551615/18446744073709551616) = 1 & % 16.62/3.28 rat_$lesseq(rat_18446744073709551615/9223372036854775808, rat_0) = 1 & % 16.62/3.28 rat_$lesseq(rat_18446744073709551615/18446744073709551616, rat_2) = 0 & % 16.62/3.28 rat_$lesseq(rat_18446744073709551615/18446744073709551616, % 16.62/3.28 rat_18446744073709551615/9223372036854775808) = 0 & % 16.62/3.28 rat_$lesseq(rat_18446744073709551615/18446744073709551616, % 16.62/3.28 rat_18446744073709551615/18446744073709551616) = 0 & % 16.62/3.28 rat_$lesseq(rat_18446744073709551615/18446744073709551616, rat_0) = 1 & % 16.62/3.28 rat_$lesseq(rat_0, rat_2) = 0 & rat_$lesseq(rat_0, % 16.62/3.28 rat_18446744073709551615/9223372036854775808) = 0 & rat_$lesseq(rat_0, % 16.62/3.28 rat_18446744073709551615/18446744073709551616) = 0 & rat_$lesseq(rat_0, % 16.62/3.28 rat_0) = 0 & rat_$greater(rat_very_large, rat_2) = 0 & % 16.62/3.28 rat_$greater(rat_very_large, rat_18446744073709551615/9223372036854775808) = 0 % 16.62/3.28 & rat_$greater(rat_very_large, rat_18446744073709551615/18446744073709551616) % 16.62/3.28 = 0 & rat_$greater(rat_very_large, rat_0) = 0 & rat_$greater(rat_very_small, % 16.64/3.28 rat_very_large) = 1 & rat_$greater(rat_2, rat_very_small) = 0 & % 16.64/3.28 rat_$greater(rat_2, rat_2) = 1 & rat_$greater(rat_2, % 16.64/3.28 rat_18446744073709551615/9223372036854775808) = 0 & rat_$greater(rat_2, % 16.64/3.28 rat_18446744073709551615/18446744073709551616) = 0 & rat_$greater(rat_2, % 16.64/3.28 rat_0) = 0 & rat_$greater(rat_18446744073709551615/9223372036854775808, % 16.64/3.28 rat_very_small) = 0 & % 16.64/3.28 rat_$greater(rat_18446744073709551615/9223372036854775808, rat_2) = 1 & % 16.64/3.28 rat_$greater(rat_18446744073709551615/9223372036854775808, % 16.64/3.28 rat_18446744073709551615/9223372036854775808) = 1 & % 16.64/3.28 rat_$greater(rat_18446744073709551615/9223372036854775808, % 16.64/3.28 rat_18446744073709551615/18446744073709551616) = 0 & % 16.64/3.28 rat_$greater(rat_18446744073709551615/9223372036854775808, rat_0) = 0 & % 16.64/3.28 rat_$greater(rat_18446744073709551615/18446744073709551616, rat_very_small) = % 16.64/3.28 0 & rat_$greater(rat_18446744073709551615/18446744073709551616, rat_2) = 1 & % 16.64/3.28 rat_$greater(rat_18446744073709551615/18446744073709551616, % 16.64/3.28 rat_18446744073709551615/9223372036854775808) = 1 & % 16.64/3.28 rat_$greater(rat_18446744073709551615/18446744073709551616, % 16.64/3.28 rat_18446744073709551615/18446744073709551616) = 1 & % 16.64/3.28 rat_$greater(rat_18446744073709551615/18446744073709551616, rat_0) = 0 & % 16.64/3.28 rat_$greater(rat_0, rat_very_small) = 0 & rat_$greater(rat_0, rat_2) = 1 & % 16.64/3.28 rat_$greater(rat_0, rat_18446744073709551615/9223372036854775808) = 1 & % 16.64/3.28 rat_$greater(rat_0, rat_18446744073709551615/18446744073709551616) = 1 & % 16.64/3.28 rat_$greater(rat_0, rat_0) = 1 & rat_$less(rat_very_small, rat_very_large) = 0 % 16.64/3.28 & rat_$less(rat_very_small, rat_2) = 0 & rat_$less(rat_very_small, % 16.64/3.28 rat_18446744073709551615/9223372036854775808) = 0 & % 16.64/3.28 rat_$less(rat_very_small, rat_18446744073709551615/18446744073709551616) = 0 & % 16.64/3.28 rat_$less(rat_very_small, rat_0) = 0 & rat_$less(rat_2, rat_very_large) = 0 & % 16.64/3.28 rat_$less(rat_2, rat_2) = 1 & rat_$less(rat_2, % 16.64/3.28 rat_18446744073709551615/9223372036854775808) = 1 & rat_$less(rat_2, % 16.64/3.28 rat_18446744073709551615/18446744073709551616) = 1 & rat_$less(rat_2, rat_0) % 16.64/3.28 = 1 & rat_$less(rat_18446744073709551615/9223372036854775808, rat_very_large) % 16.64/3.28 = 0 & rat_$less(rat_18446744073709551615/9223372036854775808, rat_2) = 0 & % 16.64/3.28 rat_$less(rat_18446744073709551615/9223372036854775808, % 16.64/3.28 rat_18446744073709551615/9223372036854775808) = 1 & % 16.64/3.28 rat_$less(rat_18446744073709551615/9223372036854775808, % 16.64/3.28 rat_18446744073709551615/18446744073709551616) = 1 & % 16.64/3.28 rat_$less(rat_18446744073709551615/9223372036854775808, rat_0) = 1 & % 16.64/3.28 rat_$less(rat_18446744073709551615/18446744073709551616, rat_very_large) = 0 & % 16.64/3.28 rat_$less(rat_18446744073709551615/18446744073709551616, rat_2) = 0 & % 16.64/3.28 rat_$less(rat_18446744073709551615/18446744073709551616, % 16.64/3.28 rat_18446744073709551615/9223372036854775808) = 0 & % 16.64/3.28 rat_$less(rat_18446744073709551615/18446744073709551616, % 16.64/3.28 rat_18446744073709551615/18446744073709551616) = 1 & % 16.64/3.28 rat_$less(rat_18446744073709551615/18446744073709551616, rat_0) = 1 & % 16.64/3.28 rat_$less(rat_0, rat_very_large) = 0 & rat_$less(rat_0, rat_2) = 0 & % 16.64/3.28 rat_$less(rat_0, rat_18446744073709551615/9223372036854775808) = 0 & % 16.64/3.28 rat_$less(rat_0, rat_18446744073709551615/18446744073709551616) = 0 & % 16.64/3.28 rat_$less(rat_0, rat_0) = 1 & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : % 16.64/3.28 ! [v3: $rat] : ! [v4: $rat] : ( ~ (rat_$sum(v3, v0) = v4) | ~ (rat_$sum(v2, % 16.64/3.28 v1) = v3) | ? [v5: $rat] : (rat_$sum(v2, v5) = v4 & rat_$sum(v1, v0) = % 16.64/3.28 v5)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : (v3 % 16.64/3.28 = v1 | v0 = rat_0 | ~ (rat_$quotient(v2, v0) = v3) | ~ (rat_$product(v1, % 16.64/3.28 v0) = v2)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: % 16.64/3.28 int] : (v3 = 0 | ~ (rat_$lesseq(v2, v0) = v3) | ~ (rat_$lesseq(v1, v0) = % 16.64/3.28 0) | ? [v4: int] : ( ~ (v4 = 0) & rat_$lesseq(v2, v1) = v4)) & ! [v0: % 16.64/3.28 $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: int] : (v3 = 0 | ~ % 16.64/3.28 (rat_$lesseq(v1, v0) = 0) | ~ (rat_$less(v2, v0) = v3) | ? [v4: int] : ( ~ % 16.64/3.28 (v4 = 0) & rat_$less(v2, v1) = v4)) & ! [v0: $rat] : ! [v1: $rat] : ! % 16.64/3.28 [v2: $rat] : ! [v3: $rat] : ( ~ (rat_$uminus(v0) = v2) | ~ (rat_$sum(v1, v2) % 16.64/3.28 = v3) | rat_$difference(v1, v0) = v3) & ! [v0: $rat] : ! [v1: $rat] : ! % 16.64/3.28 [v2: $rat] : (v2 = rat_0 | ~ (rat_$uminus(v0) = v1) | ~ (rat_$sum(v0, v1) = % 16.64/3.28 v2)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: int] : (v2 = 0 | ~ % 16.64/3.28 (rat_$greatereq(v0, v1) = v2) | ? [v3: int] : ( ~ (v3 = 0) & % 16.64/3.28 rat_$lesseq(v1, v0) = v3)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: int] % 16.64/3.28 : (v2 = 0 | ~ (rat_$lesseq(v1, v0) = v2) | ( ~ (v1 = v0) & ? [v3: int] : ( ~ % 16.64/3.28 (v3 = 0) & rat_$less(v1, v0) = v3))) & ! [v0: $rat] : ! [v1: $rat] : % 16.64/3.28 ! [v2: int] : (v2 = 0 | ~ (rat_$greater(v0, v1) = v2) | ? [v3: int] : ( ~ % 16.64/3.28 (v3 = 0) & rat_$less(v1, v0) = v3)) & ! [v0: $rat] : ! [v1: $rat] : ! % 16.64/3.28 [v2: $rat] : ( ~ (rat_$product(v0, v1) = v2) | rat_$product(v1, v0) = v2) & ! % 16.64/3.28 [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$sum(v0, v1) = v2) | % 16.64/3.28 rat_$sum(v1, v0) = v2) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ % 16.64/3.28 (rat_$lesseq(v2, v1) = 0) | ~ (rat_$less(v1, v0) = 0) | rat_$less(v2, v0) = % 16.64/3.28 0) & ! [v0: $rat] : ! [v1: $rat] : (v1 = v0 | ~ (rat_$sum(v0, rat_0) = % 16.64/3.28 v1)) & ! [v0: $rat] : ! [v1: $rat] : (v1 = v0 | ~ (rat_$lesseq(v1, v0) % 16.64/3.28 = 0) | rat_$less(v1, v0) = 0) & ! [v0: $rat] : ! [v1: $rat] : ( ~ % 16.64/3.28 (rat_$uminus(v0) = v1) | rat_$uminus(v1) = v0) & ! [v0: $rat] : ! [v1: % 16.64/3.28 $rat] : ( ~ (rat_$greatereq(v0, v1) = 0) | rat_$lesseq(v1, v0) = 0) & ! % 16.64/3.28 [v0: $rat] : ! [v1: $rat] : ( ~ (rat_$greater(v0, v1) = 0) | rat_$less(v1, % 16.64/3.28 v0) = 0) & ! [v0: $rat] : (v0 = rat_0 | ~ (rat_$uminus(v0) = v0)) % 16.64/3.28 % 16.64/3.28 Those formulas are unsatisfiable: % 16.64/3.28 --------------------------------- % 16.64/3.28 % 16.64/3.28 Begin of proof % 16.64/3.28 | % 16.64/3.28 | ALPHA: (input) implies: % 16.64/3.28 | (1) ~ (rat_2 = rat_18446744073709551615/9223372036854775808) % 16.64/3.28 | % 16.64/3.29 | REDUCE: (1), (the) imply: % 16.64/3.29 | (2) $false % 16.64/3.29 | % 16.64/3.29 | CLOSE: (2) is inconsistent. % 16.64/3.29 | % 16.64/3.29 End of proof % 16.64/3.29 % SZS output end Proof for theBenchmark % 16.64/3.29 % 16.64/3.29 2733ms %------------------------------------------------------------------------------