TSTP Solution File: ARI551_1 by Princess---230619
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ARI551_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 17:48:21 EDT 2023
% Result : Theorem 8.45s 1.99s
% Output : Proof 24.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : ARI551_1 : TPTP v8.1.2. Released v5.0.0.
% 0.08/0.11 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.10/0.31 % Computer : n006.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 29 18:47:21 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.58/0.60 ________ _____
% 0.58/0.60 ___ __ \_________(_)________________________________
% 0.58/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.58/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.58/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.58/0.60
% 0.58/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.58/0.60 (2023-06-19)
% 0.58/0.60
% 0.58/0.60 (c) Philipp Rümmer, 2009-2023
% 0.58/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.58/0.60 Amanda Stjerna.
% 0.58/0.60 Free software under BSD-3-Clause.
% 0.58/0.60
% 0.58/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.58/0.60
% 0.58/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.58/0.62 Running up to 7 provers in parallel.
% 0.58/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.58/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.58/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.58/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.58/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.58/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.58/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.86/1.00 Prover 6: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.86/1.00 Prover 5: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.86/1.00 Prover 2: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.86/1.00 Prover 0: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.86/1.00 Prover 1: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.86/1.00 Prover 3: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.86/1.01 Prover 4: Warning: Problem contains rationals, using incomplete axiomatisation
% 2.32/1.11 Prover 4: Preprocessing ...
% 2.32/1.11 Prover 1: Preprocessing ...
% 3.22/1.20 Prover 0: Preprocessing ...
% 3.22/1.21 Prover 6: Preprocessing ...
% 6.24/1.63 Prover 5: Preprocessing ...
% 6.24/1.63 Prover 2: Preprocessing ...
% 6.24/1.63 Prover 3: Preprocessing ...
% 8.45/1.92 Prover 6: Constructing countermodel ...
% 8.45/1.94 Prover 0: Constructing countermodel ...
% 8.45/1.96 Prover 1: Constructing countermodel ...
% 8.45/1.99 Prover 6: proved (1350ms)
% 8.45/1.99 Prover 0: proved (1356ms)
% 8.45/1.99
% 8.45/1.99 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.45/1.99
% 8.45/1.99
% 8.45/1.99 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.45/1.99
% 8.45/2.01 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 8.45/2.01 Prover 7: Warning: Problem contains rationals, using incomplete axiomatisation
% 8.45/2.01 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 8.45/2.01 Prover 8: Warning: Problem contains rationals, using incomplete axiomatisation
% 8.45/2.05 Prover 8: Preprocessing ...
% 8.45/2.05 Prover 4: Constructing countermodel ...
% 12.18/2.44 Prover 8: Warning: ignoring some quantifiers
% 12.18/2.45 Prover 7: Preprocessing ...
% 12.18/2.47 Prover 8: Constructing countermodel ...
% 13.06/2.55 Prover 4: Found proof (size 7)
% 13.06/2.55 Prover 4: proved (1926ms)
% 13.06/2.56 Prover 1: Found proof (size 7)
% 13.06/2.56 Prover 1: proved (1930ms)
% 13.11/2.56 Prover 8: stopped
% 14.24/2.80 Prover 2: stopped
% 16.18/3.11 Prover 7: stopped
% 20.39/3.96 Prover 5: Constructing countermodel ...
% 20.39/3.96 Prover 5: stopped
% 23.92/4.74 Prover 3: Constructing countermodel ...
% 23.92/4.74 Prover 3: stopped
% 23.92/4.74
% 23.92/4.74 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.92/4.74
% 23.92/4.74 % SZS output start Proof for theBenchmark
% 23.92/4.75 Assumptions after simplification:
% 23.92/4.75 ---------------------------------
% 23.92/4.75
% 23.92/4.75 (rat_combined_problem_11)
% 24.06/4.79 ? [v0: int] : ( ~ (v0 = 0) & rat_$less(rat_7/8, rat_15/16) = v0)
% 24.06/4.79
% 24.06/4.79 (input)
% 24.48/4.86 ~ (rat_very_large = rat_very_small) & ~ (rat_very_large = rat_15/16) & ~
% 24.48/4.86 (rat_very_large = rat_5/16) & ~ (rat_very_large = rat_5/8) & ~
% 24.48/4.86 (rat_very_large = rat_7/8) & ~ (rat_very_large = rat_0) & ~ (rat_very_small
% 24.48/4.86 = rat_15/16) & ~ (rat_very_small = rat_5/16) & ~ (rat_very_small =
% 24.48/4.86 rat_5/8) & ~ (rat_very_small = rat_7/8) & ~ (rat_very_small = rat_0) & ~
% 24.48/4.86 (rat_15/16 = rat_5/16) & ~ (rat_15/16 = rat_5/8) & ~ (rat_15/16 = rat_7/8) &
% 24.48/4.86 ~ (rat_15/16 = rat_0) & ~ (rat_5/16 = rat_5/8) & ~ (rat_5/16 = rat_7/8) &
% 24.48/4.86 ~ (rat_5/16 = rat_0) & ~ (rat_5/8 = rat_7/8) & ~ (rat_5/8 = rat_0) & ~
% 24.48/4.86 (rat_7/8 = rat_0) & rat_$is_int(rat_15/16) = 1 & rat_$is_int(rat_5/16) = 1 &
% 24.48/4.86 rat_$is_int(rat_5/8) = 1 & rat_$is_int(rat_7/8) = 1 & rat_$is_int(rat_0) = 0 &
% 24.48/4.86 rat_$is_rat(rat_15/16) = 0 & rat_$is_rat(rat_5/16) = 0 & rat_$is_rat(rat_5/8)
% 24.48/4.86 = 0 & rat_$is_rat(rat_7/8) = 0 & rat_$is_rat(rat_0) = 0 &
% 24.48/4.86 rat_$floor(rat_15/16) = rat_0 & rat_$floor(rat_5/16) = rat_0 &
% 24.48/4.86 rat_$floor(rat_5/8) = rat_0 & rat_$floor(rat_7/8) = rat_0 & rat_$floor(rat_0)
% 24.48/4.86 = rat_0 & rat_$ceiling(rat_0) = rat_0 & rat_$truncate(rat_15/16) = rat_0 &
% 24.48/4.86 rat_$truncate(rat_5/16) = rat_0 & rat_$truncate(rat_5/8) = rat_0 &
% 24.48/4.86 rat_$truncate(rat_7/8) = rat_0 & rat_$truncate(rat_0) = rat_0 &
% 24.48/4.86 rat_$round(rat_5/16) = rat_0 & rat_$round(rat_0) = rat_0 &
% 24.48/4.87 rat_$to_int(rat_15/16) = 0 & rat_$to_int(rat_5/16) = 0 & rat_$to_int(rat_5/8)
% 24.48/4.87 = 0 & rat_$to_int(rat_7/8) = 0 & rat_$to_int(rat_0) = 0 &
% 24.48/4.87 rat_$to_rat(rat_15/16) = rat_15/16 & rat_$to_rat(rat_5/16) = rat_5/16 &
% 24.48/4.87 rat_$to_rat(rat_5/8) = rat_5/8 & rat_$to_rat(rat_7/8) = rat_7/8 &
% 24.48/4.87 rat_$to_rat(rat_0) = rat_0 & rat_$to_real(rat_15/16) = real_15/16 &
% 24.48/4.87 rat_$to_real(rat_5/16) = real_5/16 & rat_$to_real(rat_5/8) = real_5/8 &
% 24.48/4.87 rat_$to_real(rat_7/8) = real_7/8 & rat_$to_real(rat_0) = real_0 &
% 24.48/4.87 int_$to_rat(0) = rat_0 & rat_$quotient(rat_0, rat_15/16) = rat_0 &
% 24.48/4.87 rat_$quotient(rat_0, rat_5/16) = rat_0 & rat_$quotient(rat_0, rat_5/8) = rat_0
% 24.48/4.87 & rat_$quotient(rat_0, rat_7/8) = rat_0 & rat_$product(rat_15/16, rat_0) =
% 24.48/4.87 rat_0 & rat_$product(rat_5/16, rat_0) = rat_0 & rat_$product(rat_5/8, rat_0) =
% 24.48/4.87 rat_0 & rat_$product(rat_7/8, rat_0) = rat_0 & rat_$product(rat_0, rat_15/16)
% 24.48/4.87 = rat_0 & rat_$product(rat_0, rat_5/16) = rat_0 & rat_$product(rat_0, rat_5/8)
% 24.48/4.87 = rat_0 & rat_$product(rat_0, rat_7/8) = rat_0 & rat_$product(rat_0, rat_0) =
% 24.48/4.87 rat_0 & rat_$difference(rat_15/16, rat_15/16) = rat_0 &
% 24.48/4.87 rat_$difference(rat_15/16, rat_5/16) = rat_5/8 & rat_$difference(rat_15/16,
% 24.48/4.87 rat_5/8) = rat_5/16 & rat_$difference(rat_15/16, rat_0) = rat_15/16 &
% 24.48/4.87 rat_$difference(rat_5/16, rat_5/16) = rat_0 & rat_$difference(rat_5/16, rat_0)
% 24.48/4.87 = rat_5/16 & rat_$difference(rat_5/8, rat_5/16) = rat_5/16 &
% 24.48/4.87 rat_$difference(rat_5/8, rat_5/8) = rat_0 & rat_$difference(rat_5/8, rat_0) =
% 24.48/4.87 rat_5/8 & rat_$difference(rat_7/8, rat_7/8) = rat_0 & rat_$difference(rat_7/8,
% 24.48/4.87 rat_0) = rat_7/8 & rat_$difference(rat_0, rat_0) = rat_0 &
% 24.48/4.87 rat_$uminus(rat_0) = rat_0 & rat_$sum(rat_15/16, rat_0) = rat_15/16 &
% 24.48/4.87 rat_$sum(rat_5/16, rat_5/16) = rat_5/8 & rat_$sum(rat_5/16, rat_5/8) =
% 24.48/4.87 rat_15/16 & rat_$sum(rat_5/16, rat_0) = rat_5/16 & rat_$sum(rat_5/8, rat_5/16)
% 24.48/4.87 = rat_15/16 & rat_$sum(rat_5/8, rat_0) = rat_5/8 & rat_$sum(rat_7/8, rat_0) =
% 24.48/4.87 rat_7/8 & rat_$sum(rat_0, rat_15/16) = rat_15/16 & rat_$sum(rat_0, rat_5/16) =
% 24.48/4.87 rat_5/16 & rat_$sum(rat_0, rat_5/8) = rat_5/8 & rat_$sum(rat_0, rat_7/8) =
% 24.48/4.87 rat_7/8 & rat_$sum(rat_0, rat_0) = rat_0 & rat_$greatereq(rat_very_small,
% 24.48/4.87 rat_very_large) = 1 & rat_$greatereq(rat_15/16, rat_15/16) = 0 &
% 24.48/4.87 rat_$greatereq(rat_15/16, rat_5/16) = 0 & rat_$greatereq(rat_15/16, rat_5/8) =
% 24.48/4.87 0 & rat_$greatereq(rat_15/16, rat_7/8) = 0 & rat_$greatereq(rat_15/16, rat_0)
% 24.48/4.87 = 0 & rat_$greatereq(rat_5/16, rat_15/16) = 1 & rat_$greatereq(rat_5/16,
% 24.48/4.87 rat_5/16) = 0 & rat_$greatereq(rat_5/16, rat_5/8) = 1 &
% 24.48/4.87 rat_$greatereq(rat_5/16, rat_7/8) = 1 & rat_$greatereq(rat_5/16, rat_0) = 0 &
% 24.48/4.87 rat_$greatereq(rat_5/8, rat_15/16) = 1 & rat_$greatereq(rat_5/8, rat_5/16) = 0
% 24.48/4.87 & rat_$greatereq(rat_5/8, rat_5/8) = 0 & rat_$greatereq(rat_5/8, rat_7/8) = 1
% 24.48/4.87 & rat_$greatereq(rat_5/8, rat_0) = 0 & rat_$greatereq(rat_7/8, rat_15/16) = 1
% 24.48/4.87 & rat_$greatereq(rat_7/8, rat_5/16) = 0 & rat_$greatereq(rat_7/8, rat_5/8) = 0
% 24.48/4.87 & rat_$greatereq(rat_7/8, rat_7/8) = 0 & rat_$greatereq(rat_7/8, rat_0) = 0 &
% 24.48/4.87 rat_$greatereq(rat_0, rat_15/16) = 1 & rat_$greatereq(rat_0, rat_5/16) = 1 &
% 24.48/4.87 rat_$greatereq(rat_0, rat_5/8) = 1 & rat_$greatereq(rat_0, rat_7/8) = 1 &
% 24.48/4.87 rat_$greatereq(rat_0, rat_0) = 0 & rat_$lesseq(rat_very_small, rat_very_large)
% 24.48/4.87 = 0 & rat_$lesseq(rat_15/16, rat_15/16) = 0 & rat_$lesseq(rat_15/16, rat_5/16)
% 24.48/4.87 = 1 & rat_$lesseq(rat_15/16, rat_5/8) = 1 & rat_$lesseq(rat_15/16, rat_7/8) =
% 24.48/4.87 1 & rat_$lesseq(rat_15/16, rat_0) = 1 & rat_$lesseq(rat_5/16, rat_15/16) = 0 &
% 24.48/4.87 rat_$lesseq(rat_5/16, rat_5/16) = 0 & rat_$lesseq(rat_5/16, rat_5/8) = 0 &
% 24.48/4.87 rat_$lesseq(rat_5/16, rat_7/8) = 0 & rat_$lesseq(rat_5/16, rat_0) = 1 &
% 24.48/4.87 rat_$lesseq(rat_5/8, rat_15/16) = 0 & rat_$lesseq(rat_5/8, rat_5/16) = 1 &
% 24.48/4.87 rat_$lesseq(rat_5/8, rat_5/8) = 0 & rat_$lesseq(rat_5/8, rat_7/8) = 0 &
% 24.48/4.87 rat_$lesseq(rat_5/8, rat_0) = 1 & rat_$lesseq(rat_7/8, rat_15/16) = 0 &
% 24.48/4.87 rat_$lesseq(rat_7/8, rat_5/16) = 1 & rat_$lesseq(rat_7/8, rat_5/8) = 1 &
% 24.48/4.87 rat_$lesseq(rat_7/8, rat_7/8) = 0 & rat_$lesseq(rat_7/8, rat_0) = 1 &
% 24.48/4.87 rat_$lesseq(rat_0, rat_15/16) = 0 & rat_$lesseq(rat_0, rat_5/16) = 0 &
% 24.48/4.87 rat_$lesseq(rat_0, rat_5/8) = 0 & rat_$lesseq(rat_0, rat_7/8) = 0 &
% 24.48/4.87 rat_$lesseq(rat_0, rat_0) = 0 & rat_$greater(rat_very_large, rat_15/16) = 0 &
% 24.48/4.87 rat_$greater(rat_very_large, rat_5/16) = 0 & rat_$greater(rat_very_large,
% 24.48/4.87 rat_5/8) = 0 & rat_$greater(rat_very_large, rat_7/8) = 0 &
% 24.48/4.87 rat_$greater(rat_very_large, rat_0) = 0 & rat_$greater(rat_very_small,
% 24.48/4.87 rat_very_large) = 1 & rat_$greater(rat_15/16, rat_very_small) = 0 &
% 24.48/4.87 rat_$greater(rat_15/16, rat_15/16) = 1 & rat_$greater(rat_15/16, rat_5/16) = 0
% 24.48/4.87 & rat_$greater(rat_15/16, rat_5/8) = 0 & rat_$greater(rat_15/16, rat_7/8) = 0
% 24.48/4.87 & rat_$greater(rat_15/16, rat_0) = 0 & rat_$greater(rat_5/16, rat_very_small)
% 24.48/4.87 = 0 & rat_$greater(rat_5/16, rat_15/16) = 1 & rat_$greater(rat_5/16, rat_5/16)
% 24.48/4.87 = 1 & rat_$greater(rat_5/16, rat_5/8) = 1 & rat_$greater(rat_5/16, rat_7/8) =
% 24.48/4.87 1 & rat_$greater(rat_5/16, rat_0) = 0 & rat_$greater(rat_5/8, rat_very_small)
% 24.48/4.87 = 0 & rat_$greater(rat_5/8, rat_15/16) = 1 & rat_$greater(rat_5/8, rat_5/16) =
% 24.48/4.87 0 & rat_$greater(rat_5/8, rat_5/8) = 1 & rat_$greater(rat_5/8, rat_7/8) = 1 &
% 24.48/4.87 rat_$greater(rat_5/8, rat_0) = 0 & rat_$greater(rat_7/8, rat_very_small) = 0 &
% 24.48/4.88 rat_$greater(rat_7/8, rat_15/16) = 1 & rat_$greater(rat_7/8, rat_5/16) = 0 &
% 24.48/4.88 rat_$greater(rat_7/8, rat_5/8) = 0 & rat_$greater(rat_7/8, rat_7/8) = 1 &
% 24.48/4.88 rat_$greater(rat_7/8, rat_0) = 0 & rat_$greater(rat_0, rat_very_small) = 0 &
% 24.48/4.88 rat_$greater(rat_0, rat_15/16) = 1 & rat_$greater(rat_0, rat_5/16) = 1 &
% 24.48/4.88 rat_$greater(rat_0, rat_5/8) = 1 & rat_$greater(rat_0, rat_7/8) = 1 &
% 24.48/4.88 rat_$greater(rat_0, rat_0) = 1 & rat_$less(rat_very_small, rat_very_large) = 0
% 24.48/4.88 & rat_$less(rat_very_small, rat_15/16) = 0 & rat_$less(rat_very_small,
% 24.48/4.88 rat_5/16) = 0 & rat_$less(rat_very_small, rat_5/8) = 0 &
% 24.48/4.88 rat_$less(rat_very_small, rat_7/8) = 0 & rat_$less(rat_very_small, rat_0) = 0
% 24.48/4.88 & rat_$less(rat_15/16, rat_very_large) = 0 & rat_$less(rat_15/16, rat_15/16) =
% 24.48/4.88 1 & rat_$less(rat_15/16, rat_5/16) = 1 & rat_$less(rat_15/16, rat_5/8) = 1 &
% 24.48/4.88 rat_$less(rat_15/16, rat_7/8) = 1 & rat_$less(rat_15/16, rat_0) = 1 &
% 24.48/4.88 rat_$less(rat_5/16, rat_very_large) = 0 & rat_$less(rat_5/16, rat_15/16) = 0 &
% 24.48/4.88 rat_$less(rat_5/16, rat_5/16) = 1 & rat_$less(rat_5/16, rat_5/8) = 0 &
% 24.48/4.88 rat_$less(rat_5/16, rat_7/8) = 0 & rat_$less(rat_5/16, rat_0) = 1 &
% 24.48/4.88 rat_$less(rat_5/8, rat_very_large) = 0 & rat_$less(rat_5/8, rat_15/16) = 0 &
% 24.48/4.88 rat_$less(rat_5/8, rat_5/16) = 1 & rat_$less(rat_5/8, rat_5/8) = 1 &
% 24.48/4.88 rat_$less(rat_5/8, rat_7/8) = 0 & rat_$less(rat_5/8, rat_0) = 1 &
% 24.48/4.88 rat_$less(rat_7/8, rat_very_large) = 0 & rat_$less(rat_7/8, rat_15/16) = 0 &
% 24.48/4.88 rat_$less(rat_7/8, rat_5/16) = 1 & rat_$less(rat_7/8, rat_5/8) = 1 &
% 24.48/4.88 rat_$less(rat_7/8, rat_7/8) = 1 & rat_$less(rat_7/8, rat_0) = 1 &
% 24.48/4.88 rat_$less(rat_0, rat_very_large) = 0 & rat_$less(rat_0, rat_15/16) = 0 &
% 24.48/4.88 rat_$less(rat_0, rat_5/16) = 0 & rat_$less(rat_0, rat_5/8) = 0 &
% 24.48/4.88 rat_$less(rat_0, rat_7/8) = 0 & rat_$less(rat_0, rat_0) = 1 & ! [v0: $rat] :
% 24.48/4.88 ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : ! [v4: $rat] : ( ~
% 24.48/4.88 (rat_$sum(v3, v0) = v4) | ~ (rat_$sum(v2, v1) = v3) | ? [v5: $rat] :
% 24.48/4.88 (rat_$sum(v2, v5) = v4 & rat_$sum(v1, v0) = v5)) & ! [v0: $rat] : ! [v1:
% 24.48/4.88 $rat] : ! [v2: $rat] : ! [v3: $rat] : ! [v4: $rat] : ( ~ (rat_$sum(v2,
% 24.48/4.88 v3) = v4) | ~ (rat_$sum(v1, v0) = v3) | ? [v5: $rat] : (rat_$sum(v5,
% 24.48/4.88 v0) = v4 & rat_$sum(v2, v1) = v5)) & ! [v0: $rat] : ! [v1: $rat] : !
% 24.48/4.88 [v2: $rat] : ! [v3: int] : (v3 = 0 | ~ (rat_$lesseq(v2, v1) = 0) | ~
% 24.48/4.88 (rat_$lesseq(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & rat_$lesseq(v1,
% 24.48/4.88 v0) = v4)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3:
% 24.48/4.88 int] : (v3 = 0 | ~ (rat_$lesseq(v2, v1) = 0) | ~ (rat_$less(v2, v0) = v3)
% 24.48/4.88 | ? [v4: int] : ( ~ (v4 = 0) & rat_$less(v1, v0) = v4)) & ! [v0: $rat] :
% 24.48/4.88 ! [v1: $rat] : ! [v2: $rat] : ! [v3: int] : (v3 = 0 | ~ (rat_$lesseq(v2,
% 24.48/4.88 v0) = v3) | ~ (rat_$lesseq(v1, v0) = 0) | ? [v4: int] : ( ~ (v4 = 0) &
% 24.48/4.88 rat_$lesseq(v2, v1) = v4)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat]
% 24.48/4.88 : ! [v3: int] : (v3 = 0 | ~ (rat_$lesseq(v1, v0) = 0) | ~ (rat_$less(v2,
% 24.48/4.88 v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & rat_$less(v2, v1) = v4)) & !
% 24.48/4.88 [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: int] : (v3 = 0 | ~
% 24.48/4.88 (rat_$less(v2, v1) = 0) | ~ (rat_$less(v2, v0) = v3) | ? [v4: int] : ( ~
% 24.48/4.88 (v4 = 0) & rat_$lesseq(v1, v0) = v4)) & ! [v0: $rat] : ! [v1: $rat] : !
% 24.48/4.88 [v2: $rat] : ! [v3: int] : (v3 = 0 | ~ (rat_$less(v2, v0) = v3) | ~
% 24.48/4.88 (rat_$less(v1, v0) = 0) | ? [v4: int] : ( ~ (v4 = 0) & rat_$lesseq(v2, v1)
% 24.48/4.88 = v4)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : (
% 24.48/4.88 ~ (rat_$uminus(v0) = v2) | ~ (rat_$sum(v1, v2) = v3) | rat_$difference(v1,
% 24.48/4.88 v0) = v3) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: int] : (v2 = 0 | v1 =
% 24.48/4.88 v0 | ~ (rat_$less(v1, v0) = v2) | ? [v3: int] : ( ~ (v3 = 0) &
% 24.48/4.88 rat_$lesseq(v1, v0) = v3)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: int]
% 24.48/4.88 : (v2 = 0 | ~ (rat_$greatereq(v0, v1) = v2) | ? [v3: int] : ( ~ (v3 = 0) &
% 24.48/4.88 rat_$lesseq(v1, v0) = v3)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: int]
% 24.48/4.88 : (v2 = 0 | ~ (rat_$lesseq(v1, v0) = v2) | ? [v3: int] : ( ~ (v3 = 0) &
% 24.48/4.88 rat_$greatereq(v0, v1) = v3)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2:
% 24.48/4.88 int] : (v2 = 0 | ~ (rat_$lesseq(v1, v0) = v2) | ? [v3: int] : ( ~ (v3 = 0)
% 24.48/4.88 & rat_$less(v1, v0) = v3)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: int]
% 24.48/4.88 : (v2 = 0 | ~ (rat_$greater(v0, v1) = v2) | ? [v3: int] : ( ~ (v3 = 0) &
% 24.48/4.88 rat_$less(v1, v0) = v3)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: int] :
% 24.48/4.88 (v2 = 0 | ~ (rat_$less(v1, v0) = v2) | ? [v3: int] : ( ~ (v3 = 0) &
% 24.48/4.88 rat_$greater(v0, v1) = v3)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2:
% 24.48/4.88 $rat] : (v0 = rat_0 | ~ (rat_$product(v1, v0) = v2) | rat_$quotient(v2, v0)
% 24.48/4.88 = v1) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~
% 24.48/4.88 (rat_$product(v1, v0) = v2) | rat_$product(v0, v1) = v2) & ! [v0: $rat] :
% 24.48/4.88 ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$product(v0, v1) = v2) |
% 24.48/4.88 rat_$product(v1, v0) = v2) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] :
% 24.48/4.88 ( ~ (rat_$difference(v1, v0) = v2) | ? [v3: $rat] : (rat_$uminus(v0) = v3 &
% 24.48/4.88 rat_$sum(v1, v3) = v2)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] :
% 24.48/4.88 ( ~ (rat_$sum(v1, v0) = v2) | rat_$sum(v0, v1) = v2) & ! [v0: $rat] : ! [v1:
% 24.48/4.88 $rat] : ! [v2: $rat] : ( ~ (rat_$sum(v0, v1) = v2) | rat_$sum(v1, v0) = v2)
% 24.48/4.88 & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$lesseq(v2, v1) =
% 24.48/4.88 0) | ~ (rat_$lesseq(v1, v0) = 0) | rat_$lesseq(v2, v0) = 0) & ! [v0:
% 24.48/4.88 $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$lesseq(v2, v1) = 0) | ~
% 24.48/4.88 (rat_$less(v1, v0) = 0) | rat_$less(v2, v0) = 0) & ! [v0: $rat] : ! [v1:
% 24.48/4.88 $rat] : ! [v2: $rat] : ( ~ (rat_$lesseq(v1, v0) = 0) | ~ (rat_$less(v2,
% 24.48/4.88 v1) = 0) | rat_$less(v2, v0) = 0) & ! [v0: $rat] : ! [v1: $rat] : (v1
% 24.48/4.88 = v0 | ~ (rat_$sum(v0, rat_0) = v1)) & ! [v0: $rat] : ! [v1: $rat] : (v1
% 24.48/4.88 = v0 | ~ (rat_$lesseq(v1, v0) = 0) | rat_$less(v1, v0) = 0) & ! [v0: $rat]
% 24.48/4.88 : ! [v1: int] : (v1 = 0 | ~ (rat_$lesseq(v0, v0) = v1)) & ! [v0: $rat] : !
% 24.48/4.88 [v1: $rat] : ( ~ (rat_$uminus(v0) = v1) | rat_$uminus(v1) = v0) & ! [v0:
% 24.48/4.88 $rat] : ! [v1: $rat] : ( ~ (rat_$uminus(v0) = v1) | rat_$sum(v0, v1) =
% 24.48/4.88 rat_0) & ! [v0: $rat] : ! [v1: $rat] : ( ~ (rat_$greatereq(v0, v1) = 0) |
% 24.48/4.88 rat_$lesseq(v1, v0) = 0) & ! [v0: $rat] : ! [v1: $rat] : ( ~
% 24.48/4.88 (rat_$lesseq(v1, v0) = 0) | rat_$greatereq(v0, v1) = 0) & ! [v0: $rat] : !
% 24.48/4.88 [v1: $rat] : ( ~ (rat_$greater(v0, v1) = 0) | rat_$less(v1, v0) = 0) & ! [v0:
% 24.48/4.88 $rat] : ! [v1: $rat] : ( ~ (rat_$less(v1, v0) = 0) | rat_$lesseq(v1, v0) =
% 24.48/4.88 0) & ! [v0: $rat] : ! [v1: $rat] : ( ~ (rat_$less(v1, v0) = 0) |
% 24.48/4.88 rat_$greater(v0, v1) = 0) & ! [v0: $rat] : ! [v1: MultipleValueBool] : ( ~
% 24.48/4.89 (rat_$less(v0, v0) = v1) | rat_$lesseq(v0, v0) = 0) & ! [v0: $rat] : (v0 =
% 24.48/4.89 rat_0 | ~ (rat_$uminus(v0) = v0))
% 24.48/4.89
% 24.48/4.89 (function-axioms)
% 24.48/4.90 ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : (v1 = v0 | ~
% 24.48/4.90 (rat_$quotient(v3, v2) = v1) | ~ (rat_$quotient(v3, v2) = v0)) & ! [v0:
% 24.48/4.90 $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : (v1 = v0 | ~
% 24.48/4.90 (rat_$product(v3, v2) = v1) | ~ (rat_$product(v3, v2) = v0)) & ! [v0:
% 24.48/4.90 $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : (v1 = v0 | ~
% 24.48/4.90 (rat_$difference(v3, v2) = v1) | ~ (rat_$difference(v3, v2) = v0)) & !
% 24.48/4.90 [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : (v1 = v0 | ~
% 24.48/4.90 (rat_$sum(v3, v2) = v1) | ~ (rat_$sum(v3, v2) = v0)) & ! [v0:
% 24.48/4.90 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $rat] : ! [v3:
% 24.48/4.90 $rat] : (v1 = v0 | ~ (rat_$greatereq(v3, v2) = v1) | ~ (rat_$greatereq(v3,
% 24.48/4.90 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 24.48/4.90 ! [v2: $rat] : ! [v3: $rat] : (v1 = v0 | ~ (rat_$lesseq(v3, v2) = v1) | ~
% 24.48/4.90 (rat_$lesseq(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 24.48/4.90 MultipleValueBool] : ! [v2: $rat] : ! [v3: $rat] : (v1 = v0 | ~
% 24.48/4.90 (rat_$greater(v3, v2) = v1) | ~ (rat_$greater(v3, v2) = v0)) & ! [v0:
% 24.48/4.90 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $rat] : ! [v3:
% 24.48/4.90 $rat] : (v1 = v0 | ~ (rat_$less(v3, v2) = v1) | ~ (rat_$less(v3, v2) =
% 24.48/4.90 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 24.48/4.90 $rat] : (v1 = v0 | ~ (rat_$is_int(v2) = v1) | ~ (rat_$is_int(v2) = v0)) &
% 24.48/4.90 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $rat] : (v1 =
% 24.48/4.90 v0 | ~ (rat_$is_rat(v2) = v1) | ~ (rat_$is_rat(v2) = v0)) & ! [v0: $rat]
% 24.48/4.90 : ! [v1: $rat] : ! [v2: $rat] : (v1 = v0 | ~ (rat_$floor(v2) = v1) | ~
% 24.48/4.90 (rat_$floor(v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : (v1
% 24.48/4.90 = v0 | ~ (rat_$ceiling(v2) = v1) | ~ (rat_$ceiling(v2) = v0)) & ! [v0:
% 24.48/4.90 $rat] : ! [v1: $rat] : ! [v2: $rat] : (v1 = v0 | ~ (rat_$truncate(v2) =
% 24.48/4.90 v1) | ~ (rat_$truncate(v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : !
% 24.48/4.90 [v2: $rat] : (v1 = v0 | ~ (rat_$round(v2) = v1) | ~ (rat_$round(v2) = v0)) &
% 24.48/4.90 ! [v0: int] : ! [v1: int] : ! [v2: $rat] : (v1 = v0 | ~ (rat_$to_int(v2) =
% 24.48/4.90 v1) | ~ (rat_$to_int(v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2:
% 24.48/4.90 $rat] : (v1 = v0 | ~ (rat_$to_rat(v2) = v1) | ~ (rat_$to_rat(v2) = v0)) &
% 24.48/4.90 ! [v0: $real] : ! [v1: $real] : ! [v2: $rat] : (v1 = v0 | ~
% 24.48/4.90 (rat_$to_real(v2) = v1) | ~ (rat_$to_real(v2) = v0)) & ! [v0: $rat] : !
% 24.48/4.90 [v1: $rat] : ! [v2: int] : (v1 = v0 | ~ (int_$to_rat(v2) = v1) | ~
% 24.48/4.90 (int_$to_rat(v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] :
% 24.48/4.90 (v1 = v0 | ~ (rat_$uminus(v2) = v1) | ~ (rat_$uminus(v2) = v0))
% 24.48/4.90
% 24.48/4.90 Those formulas are unsatisfiable:
% 24.48/4.90 ---------------------------------
% 24.48/4.90
% 24.48/4.90 Begin of proof
% 24.48/4.90 |
% 24.48/4.90 | ALPHA: (function-axioms) implies:
% 24.48/4.91 | (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $rat]
% 24.48/4.91 | : ! [v3: $rat] : (v1 = v0 | ~ (rat_$less(v3, v2) = v1) | ~
% 24.48/4.91 | (rat_$less(v3, v2) = v0))
% 24.48/4.91 |
% 24.48/4.91 | ALPHA: (input) implies:
% 24.48/4.91 | (2) rat_$less(rat_7/8, rat_15/16) = 0
% 24.48/4.91 |
% 24.48/4.91 | DELTA: instantiating (rat_combined_problem_11) with fresh symbol all_5_0
% 24.48/4.91 | gives:
% 24.48/4.91 | (3) ~ (all_5_0 = 0) & rat_$less(rat_7/8, rat_15/16) = all_5_0
% 24.48/4.91 |
% 24.48/4.91 | ALPHA: (3) implies:
% 24.48/4.91 | (4) ~ (all_5_0 = 0)
% 24.48/4.91 | (5) rat_$less(rat_7/8, rat_15/16) = all_5_0
% 24.48/4.91 |
% 24.48/4.92 | GROUND_INST: instantiating (1) with 0, all_5_0, rat_15/16, rat_7/8,
% 24.48/4.92 | simplifying with (2), (5) gives:
% 24.48/4.92 | (6) all_5_0 = 0
% 24.48/4.92 |
% 24.48/4.92 | REDUCE: (4), (6) imply:
% 24.48/4.92 | (7) $false
% 24.48/4.92 |
% 24.48/4.92 | CLOSE: (7) is inconsistent.
% 24.48/4.92 |
% 24.48/4.92 End of proof
% 24.48/4.92 % SZS output end Proof for theBenchmark
% 24.48/4.92
% 24.48/4.92 4316ms
%------------------------------------------------------------------------------