%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : KRS146+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n018.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 : Thu Aug 31 05:51:25 EDT 2023

% Result   : Theorem 13.29s 2.55s
% Output   : Proof 19.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : KRS146+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.12  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.11/0.33  % Computer : n018.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Mon Aug 28 02:04:01 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.18/0.60  ________       _____
% 0.18/0.60  ___  __ \_________(_)________________________________
% 0.18/0.60  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.18/0.60  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.18/0.60  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.18/0.60  
% 0.18/0.60  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.18/0.60  (2023-06-19)
% 0.18/0.60  
% 0.18/0.60  (c) Philipp Rümmer, 2009-2023
% 0.18/0.60  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.18/0.60                Amanda Stjerna.
% 0.18/0.60  Free software under BSD-3-Clause.
% 0.18/0.60  
% 0.18/0.60  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.18/0.60  
% 0.18/0.60  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.18/0.61  Running up to 7 provers in parallel.
% 0.18/0.63  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.18/0.63  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.18/0.63  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.18/0.63  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.18/0.63  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.18/0.63  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.18/0.63  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.41/1.21  Prover 4: Preprocessing ...
% 3.63/1.22  Prover 1: Preprocessing ...
% 3.73/1.26  Prover 3: Preprocessing ...
% 3.73/1.26  Prover 0: Preprocessing ...
% 3.73/1.26  Prover 6: Preprocessing ...
% 3.73/1.26  Prover 5: Preprocessing ...
% 3.73/1.26  Prover 2: Preprocessing ...
% 8.26/1.91  Prover 5: Proving ...
% 8.62/1.94  Prover 2: Proving ...
% 9.90/2.23  Prover 1: Constructing countermodel ...
% 9.90/2.26  Prover 3: Constructing countermodel ...
% 9.90/2.26  Prover 6: Proving ...
% 12.81/2.53  Prover 4: Constructing countermodel ...
% 13.29/2.55  Prover 3: proved (1919ms)
% 13.29/2.55  
% 13.29/2.55  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.29/2.55  
% 13.29/2.55  Prover 5: stopped
% 13.29/2.56  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 13.29/2.56  Prover 0: Proving ...
% 13.29/2.56  Prover 0: stopped
% 13.29/2.57  Prover 2: stopped
% 13.29/2.57  Prover 6: stopped
% 13.29/2.57  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 13.29/2.57  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 13.29/2.57  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 13.29/2.58  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 14.17/2.68  Prover 7: Preprocessing ...
% 14.17/2.70  Prover 8: Preprocessing ...
% 14.17/2.71  Prover 11: Preprocessing ...
% 14.17/2.73  Prover 10: Preprocessing ...
% 14.86/2.76  Prover 13: Preprocessing ...
% 15.13/2.82  Prover 7: Warning: ignoring some quantifiers
% 15.13/2.84  Prover 7: Constructing countermodel ...
% 15.13/2.87  Prover 10: Warning: ignoring some quantifiers
% 15.13/2.89  Prover 10: Constructing countermodel ...
% 15.13/2.94  Prover 13: Warning: ignoring some quantifiers
% 15.13/2.97  Prover 13: Constructing countermodel ...
% 17.19/3.11  Prover 8: Warning: ignoring some quantifiers
% 17.19/3.12  Prover 8: Constructing countermodel ...
% 17.19/3.16  Prover 1: Found proof (size 243)
% 17.19/3.16  Prover 1: proved (2535ms)
% 17.92/3.16  Prover 4: stopped
% 17.92/3.16  Prover 7: stopped
% 17.92/3.16  Prover 10: stopped
% 17.92/3.16  Prover 13: stopped
% 17.92/3.16  Prover 8: stopped
% 18.23/3.29  Prover 11: Constructing countermodel ...
% 18.52/3.31  Prover 11: stopped
% 18.52/3.31  
% 18.52/3.31  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.52/3.31  
% 18.52/3.35  % SZS output start Proof for theBenchmark
% 18.52/3.36  Assumptions after simplification:
% 18.52/3.36  ---------------------------------
% 18.52/3.36  
% 18.52/3.36    (axiom_0)
% 18.80/3.38     ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (cowlThing(v0) = v1) |  ~ $i(v0)) & 
% 18.80/3.38    ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) |  ~ $i(v0))
% 18.80/3.38  
% 18.80/3.38    (axiom_1)
% 18.80/3.38     ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (xsd_string(v0) = v1) |  ~ $i(v0) |
% 18.80/3.38      xsd_integer(v0) = 0) &  ! [v0: $i] : ( ~ (xsd_string(v0) = 0) |  ~ $i(v0) | 
% 18.80/3.38      ? [v1: int] : ( ~ (v1 = 0) & xsd_integer(v0) = v1))
% 18.80/3.38  
% 18.80/3.38    (axiom_10)
% 18.80/3.38     ! [v0: $i] :  ! [v1: any] : ( ~ (cC80(v0) = v1) |  ~ $i(v0) |  ? [v2: any] : 
% 18.80/3.38      ? [v3: any] : (cC116(v0) = v2 & cC114(v0) = v3 & ( ~ (v2 = 0) | (v3 = 0 & v1
% 18.80/3.38            = 0)))) &  ! [v0: $i] : ( ~ (cC80(v0) = 0) |  ~ $i(v0) |  ? [v1: any]
% 18.80/3.38      :  ? [v2: any] : (cC116(v0) = v2 & cC114(v0) = v1 & ( ~ (v1 = 0) | v2 = 0)))
% 18.80/3.38  
% 18.80/3.38    (axiom_21)
% 18.80/3.39     ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (cC136(v0) = v1) |  ~ $i(v0) |  ?
% 18.80/3.39      [v2: any] :  ? [v3: any] : (cC134(v0) = v3 & cC116(v0) = v2 & ( ~ (v2 = 0) |
% 18.80/3.39          v3 = 0))) &  ! [v0: $i] : ( ~ (cC136(v0) = 0) |  ~ $i(v0) |  ? [v1: int]
% 18.80/3.39      : ( ~ (v1 = 0) & cC134(v0) = v1 & cC116(v0) = 0))
% 18.80/3.39  
% 18.80/3.39    (axiom_43)
% 18.80/3.39     ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (cC56(v0) = v1) |  ~ $i(v0) |  ?
% 18.80/3.39      [v2: any] :  ? [v3: any] : (cC10(v0) = v3 & cC4(v0) = v2 & ( ~ (v2 = 0) | v3
% 18.80/3.39          = 0))) &  ! [v0: $i] : ( ~ (cC56(v0) = 0) |  ~ $i(v0) |  ? [v1: int] : (
% 18.80/3.39        ~ (v1 = 0) & cC10(v0) = v1 & cC4(v0) = 0))
% 18.80/3.39  
% 18.80/3.39    (axiom_44)
% 18.80/3.39     ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (cC58(v0) = v1) |  ~ $i(v0) |  ?
% 18.80/3.39      [v2: any] :  ? [v3: any] : (cC56(v0) = v3 & cC34(v0) = v2 & ( ~ (v3 = 0) | 
% 18.80/3.39          ~ (v2 = 0)))) &  ! [v0: $i] : ( ~ (cC58(v0) = 0) |  ~ $i(v0) | (cC56(v0)
% 18.80/3.39        = 0 & cC34(v0) = 0))
% 18.80/3.39  
% 18.80/3.39    (axiom_57)
% 18.80/3.39     ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (cC80(v0) = v1) |  ~ $i(v0) |  ?
% 18.80/3.39      [v2: any] :  ? [v3: any] : (cC78(v0) = v2 & cC76(v0) = v3 & (v3 = 0 | v2 =
% 18.80/3.39          0))) &  ! [v0: $i] : ( ~ (cC80(v0) = 0) |  ~ $i(v0) |  ? [v1: int] :  ?
% 18.80/3.39      [v2: int] : ( ~ (v2 = 0) &  ~ (v1 = 0) & cC78(v0) = v1 & cC76(v0) = v2))
% 18.80/3.39  
% 18.80/3.39    (axiom_59)
% 18.80/3.40     ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (cC84(v0) = v1) |  ~ $i(v0) |  !
% 18.80/3.40      [v2: $i] : ( ~ (cC82(v2) = 0) |  ~ $i(v2) |  ? [v3: int] : ( ~ (v3 = 0) &
% 18.80/3.40          rR1(v0, v2) = v3))) &  ! [v0: $i] : ( ~ (cC84(v0) = 0) |  ~ $i(v0) |  ?
% 18.80/3.40      [v1: $i] : (cC82(v1) = 0 & rR1(v0, v1) = 0 & $i(v1)))
% 18.80/3.40  
% 18.80/3.40    (axiom_62)
% 18.80/3.40     ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (cC90(v0) = v1) |  ~ $i(v0) |  !
% 18.80/3.40      [v2: $i] : ( ~ (cC88(v2) = 0) |  ~ $i(v2) |  ? [v3: int] : ( ~ (v3 = 0) &
% 18.80/3.40          rR1(v0, v2) = v3))) &  ! [v0: $i] : ( ~ (cC90(v0) = 0) |  ~ $i(v0) |  ?
% 18.80/3.40      [v1: $i] : (cC88(v1) = 0 & rR1(v0, v1) = 0 & $i(v1)))
% 18.80/3.40  
% 18.80/3.40    (axiom_64)
% 18.80/3.40     ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (cC94(v0) = v1) |  ~ $i(v0) |  ?
% 18.80/3.40      [v2: any] :  ? [v3: any] : (cC92(v0) = v3 & cC86(v0) = v2 & (v3 = 0 | v2 =
% 18.80/3.40          0))) &  ! [v0: $i] : ( ~ (cC94(v0) = 0) |  ~ $i(v0) |  ? [v1: int] :  ?
% 18.80/3.40      [v2: int] : ( ~ (v2 = 0) &  ~ (v1 = 0) & cC92(v0) = v2 & cC86(v0) = v1))
% 18.80/3.40  
% 18.80/3.40    (axiom_68)
% 18.80/3.40    $i(iV822576) &  ? [v0: int] : ( ~ (v0 = 0) & cC84(iV822576) = v0)
% 18.80/3.40  
% 18.80/3.40    (axiom_71)
% 18.80/3.40    $i(iV822576) &  ? [v0: int] : ( ~ (v0 = 0) & cC134(iV822576) = v0)
% 18.80/3.40  
% 18.80/3.40    (axiom_74)
% 18.80/3.40    cC34(iV822576) = 0 & $i(iV822576)
% 18.80/3.40  
% 18.80/3.40    (axiom_75)
% 18.80/3.40    cC4(iV822576) = 0 & $i(iV822576)
% 18.80/3.40  
% 18.80/3.40    (axiom_76)
% 18.80/3.40    $i(iV822576) &  ? [v0: int] : ( ~ (v0 = 0) & cC96(iV822576) = v0)
% 18.80/3.40  
% 18.80/3.40    (axiom_77)
% 18.80/3.40    $i(iV822576) &  ? [v0: int] : ( ~ (v0 = 0) & cC86(iV822576) = v0)
% 18.80/3.40  
% 18.80/3.41    (axiom_78)
% 18.80/3.41    $i(iV822576) &  ? [v0: int] : ( ~ (v0 = 0) & cC92(iV822576) = v0)
% 18.80/3.41  
% 18.80/3.41    (axiom_8)
% 18.80/3.41     ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (cC112(v0) = v1) |  ~ $i(v0) |  ?
% 18.80/3.41      [v2: any] :  ? [v3: any] : (cC110(v0) = v2 & cC4(v0) = v3 & ( ~ (v3 = 0) |
% 18.80/3.41          v2 = 0))) &  ! [v0: $i] : ( ~ (cC112(v0) = 0) |  ~ $i(v0) |  ? [v1: int]
% 18.80/3.41      : ( ~ (v1 = 0) & cC110(v0) = v1 & cC4(v0) = 0))
% 18.80/3.41  
% 18.80/3.41    (axiom_80)
% 18.80/3.41    cowlThing(iV822576) = 0 & $i(iV822576)
% 18.80/3.41  
% 18.80/3.41    (axiom_82)
% 18.80/3.41    $i(iV822576) &  ? [v0: int] : ( ~ (v0 = 0) & cC90(iV822576) = v0)
% 18.80/3.41  
% 18.80/3.41    (axiom_84)
% 18.80/3.41    $i(iV822576) &  ? [v0: int] : ( ~ (v0 = 0) & cC10(iV822576) = v0)
% 18.80/3.41  
% 18.80/3.41    (axiom_86)
% 18.80/3.41    $i(iV822576) &  ? [v0: int] : ( ~ (v0 = 0) & cC76(iV822576) = v0)
% 18.80/3.41  
% 18.80/3.41    (axiom_87)
% 18.80/3.41    $i(iV822576) &  ? [v0: int] : ( ~ (v0 = 0) & cC112(iV822576) = v0)
% 18.80/3.41  
% 18.80/3.41    (axiom_88)
% 18.80/3.41    $i(iV822576) &  ? [v0: int] : ( ~ (v0 = 0) & cC78(iV822576) = v0)
% 18.80/3.41  
% 18.80/3.41    (axiom_9)
% 18.80/3.41     ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (cC96(v0) = v1) |  ~ $i(v0) |  ?
% 18.80/3.41      [v2: any] :  ? [v3: any] : (cC114(v0) = v3 & cC112(v0) = v2 & (v3 = 0 | v2 =
% 18.80/3.41          0))) &  ! [v0: $i] :  ! [v1: any] : ( ~ (cC96(v0) = v1) |  ~ $i(v0) |  ?
% 18.80/3.41      [v2: any] :  ? [v3: any] : (cC114(v0) = v2 & cC112(v0) = v3 & ( ~ (v2 = 0) |
% 18.80/3.41          ( ~ (v3 = 0) &  ~ (v1 = 0)))))
% 18.80/3.41  
% 18.80/3.41    (the_axiom)
% 18.80/3.41    $i(iV822576) &  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3: any] :  ?
% 18.80/3.41    [v4: any] :  ? [v5: any] :  ? [v6: any] :  ? [v7: any] :  ? [v8: any] :
% 18.80/3.41    (cC94(iV822576) = v0 & cC58(iV822576) = v2 & cC56(iV822576) = v4 &
% 18.80/3.41      cC136(iV822576) = v7 & cC80(iV822576) = v8 & cC116(iV822576) = v3 &
% 18.80/3.41      cC114(iV822576) = v6 & cC110(iV822576) = v5 & cowlThing(iV822576) = v1 & ( ~
% 18.80/3.41        (v8 = 0) |  ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3
% 18.80/3.41          = 0) |  ~ (v2 = 0) |  ~ (v1 = 0) |  ~ (v0 = 0) |  ? [v9: $i] :  ? [v10:
% 18.80/3.41          any] :  ? [v11: any] : (xsd_string(v9) = v10 & xsd_integer(v9) = v11 &
% 18.80/3.41          $i(v9) & ((v11 = 0 & v10 = 0) | ( ~ (v11 = 0) &  ~ (v10 = 0)))) |  ?
% 18.80/3.41        [v9: $i] :  ? [v10: any] :  ? [v11: any] : (cowlNothing(v9) = v11 &
% 18.80/3.41          cowlThing(v9) = v10 & $i(v9) & ( ~ (v10 = 0) | v11 = 0))))
% 18.80/3.41  
% 18.80/3.41    (function-axioms)
% 18.80/3.45     ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  !
% 18.80/3.45    [v3: $i] : (v1 = v0 |  ~ (rR1(v3, v2) = v1) |  ~ (rR1(v3, v2) = v0)) &  ! [v0:
% 18.80/3.45      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 18.80/3.45      ~ (cTEST(v2) = v1) |  ~ (cTEST(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 18.80/3.45    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC94(v2) = v1) |  ~
% 18.80/3.45      (cC94(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 18.80/3.45     ! [v2: $i] : (v1 = v0 |  ~ (cC92(v2) = v1) |  ~ (cC92(v2) = v0)) &  ! [v0:
% 18.80/3.45      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 18.80/3.45      ~ (cC90(v2) = v1) |  ~ (cC90(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 18.80/3.45    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC88(v2) = v1) |  ~
% 18.80/3.45      (cC88(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 18.80/3.45     ! [v2: $i] : (v1 = v0 |  ~ (cC86(v2) = v1) |  ~ (cC86(v2) = v0)) &  ! [v0:
% 18.80/3.45      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 18.80/3.45      ~ (cC84(v2) = v1) |  ~ (cC84(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 18.80/3.45    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC82(v2) = v1) |  ~
% 18.80/3.45      (cC82(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 18.80/3.45     ! [v2: $i] : (v1 = v0 |  ~ (cC78(v2) = v1) |  ~ (cC78(v2) = v0)) &  ! [v0:
% 18.80/3.45      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 18.80/3.45      ~ (cC76(v2) = v1) |  ~ (cC76(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 18.80/3.45    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC72(v2) = v1) |  ~
% 18.80/3.45      (cC72(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 18.80/3.45     ! [v2: $i] : (v1 = v0 |  ~ (cC70(v2) = v1) |  ~ (cC70(v2) = v0)) &  ! [v0:
% 18.80/3.45      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 18.80/3.45      ~ (cC68(v2) = v1) |  ~ (cC68(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 18.80/3.45    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC66(v2) = v1) |  ~
% 18.80/3.45      (cC66(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 18.80/3.45     ! [v2: $i] : (v1 = v0 |  ~ (cC64(v2) = v1) |  ~ (cC64(v2) = v0)) &  ! [v0:
% 18.80/3.45      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 18.80/3.45      ~ (cC62(v2) = v1) |  ~ (cC62(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 18.80/3.45    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC60(v2) = v1) |  ~
% 18.80/3.45      (cC60(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 18.80/3.45     ! [v2: $i] : (v1 = v0 |  ~ (cC6(v2) = v1) |  ~ (cC6(v2) = v0)) &  ! [v0:
% 18.80/3.45      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 18.80/3.45      ~ (cC58(v2) = v1) |  ~ (cC58(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 18.80/3.45    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC56(v2) = v1) |  ~
% 18.80/3.45      (cC56(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 18.80/3.45     ! [v2: $i] : (v1 = v0 |  ~ (cC54(v2) = v1) |  ~ (cC54(v2) = v0)) &  ! [v0:
% 18.80/3.45      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 18.80/3.45      ~ (cC52(v2) = v1) |  ~ (cC52(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 18.80/3.45    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC50(v2) = v1) |  ~
% 18.80/3.45      (cC50(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 18.80/3.45     ! [v2: $i] : (v1 = v0 |  ~ (cC48(v2) = v1) |  ~ (cC48(v2) = v0)) &  ! [v0:
% 18.80/3.45      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 18.80/3.45      ~ (cC46(v2) = v1) |  ~ (cC46(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 18.80/3.45    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC44(v2) = v1) |  ~
% 18.80/3.45      (cC44(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 18.80/3.45     ! [v2: $i] : (v1 = v0 |  ~ (cC42(v2) = v1) |  ~ (cC42(v2) = v0)) &  ! [v0:
% 18.80/3.45      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 18.80/3.45      ~ (cC40(v2) = v1) |  ~ (cC40(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 18.80/3.45    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC38(v2) = v1) |  ~
% 18.80/3.45      (cC38(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 18.80/3.45     ! [v2: $i] : (v1 = v0 |  ~ (cC36(v2) = v1) |  ~ (cC36(v2) = v0)) &  ! [v0:
% 18.80/3.45      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 18.80/3.45      ~ (cC32(v2) = v1) |  ~ (cC32(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 18.80/3.45    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC30(v2) = v1) |  ~
% 18.80/3.45      (cC30(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 18.80/3.45     ! [v2: $i] : (v1 = v0 |  ~ (cC28(v2) = v1) |  ~ (cC28(v2) = v0)) &  ! [v0:
% 18.80/3.45      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 18.80/3.45      ~ (cC26(v2) = v1) |  ~ (cC26(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 18.80/3.45    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC24(v2) = v1) |  ~
% 18.80/3.45      (cC24(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 18.80/3.45     ! [v2: $i] : (v1 = v0 |  ~ (cC22(v2) = v1) |  ~ (cC22(v2) = v0)) &  ! [v0:
% 18.80/3.45      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 18.80/3.45      ~ (cC20(v2) = v1) |  ~ (cC20(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 18.80/3.45    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC18(v2) = v1) |  ~
% 18.80/3.45      (cC18(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 18.80/3.45     ! [v2: $i] : (v1 = v0 |  ~ (cC16(v2) = v1) |  ~ (cC16(v2) = v0)) &  ! [v0:
% 18.80/3.45      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 18.80/3.45      ~ (cC74(v2) = v1) |  ~ (cC74(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 18.80/3.45    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC140(v2) = v1) |  ~
% 18.80/3.45      (cC140(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool]
% 18.80/3.45    :  ! [v2: $i] : (v1 = v0 |  ~ (cC8(v2) = v1) |  ~ (cC8(v2) = v0)) &  ! [v0:
% 18.80/3.45      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 18.80/3.45      ~ (cC14(v2) = v1) |  ~ (cC14(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 18.80/3.45    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC138(v2) = v1) |  ~
% 18.80/3.45      (cC138(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool]
% 18.80/3.45    :  ! [v2: $i] : (v1 = v0 |  ~ (cC136(v2) = v1) |  ~ (cC136(v2) = v0)) &  !
% 18.80/3.45    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0
% 18.80/3.45      |  ~ (cC134(v2) = v1) |  ~ (cC134(v2) = v0)) &  ! [v0: MultipleValueBool] : 
% 18.80/3.45    ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC132(v2) = v1) |  ~
% 18.80/3.45      (cC132(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool]
% 18.80/3.45    :  ! [v2: $i] : (v1 = v0 |  ~ (cC2(v2) = v1) |  ~ (cC2(v2) = v0)) &  ! [v0:
% 18.80/3.45      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 18.80/3.45      ~ (cC130(v2) = v1) |  ~ (cC130(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 18.80/3.45    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC128(v2) = v1) |  ~
% 18.80/3.45      (cC128(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool]
% 18.80/3.45    :  ! [v2: $i] : (v1 = v0 |  ~ (cC126(v2) = v1) |  ~ (cC126(v2) = v0)) &  !
% 18.80/3.45    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0
% 18.80/3.45      |  ~ (cC124(v2) = v1) |  ~ (cC124(v2) = v0)) &  ! [v0: MultipleValueBool] : 
% 18.80/3.45    ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC122(v2) = v1) |  ~
% 18.80/3.45      (cC122(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool]
% 18.80/3.45    :  ! [v2: $i] : (v1 = v0 |  ~ (cC120(v2) = v1) |  ~ (cC120(v2) = v0)) &  !
% 18.80/3.45    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0
% 18.80/3.45      |  ~ (cC12(v2) = v1) |  ~ (cC12(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 18.80/3.45    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC118(v2) = v1) |  ~
% 18.80/3.45      (cC118(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool]
% 18.80/3.45    :  ! [v2: $i] : (v1 = v0 |  ~ (cC10(v2) = v1) |  ~ (cC10(v2) = v0)) &  ! [v0:
% 18.80/3.46      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 18.80/3.46      ~ (cC80(v2) = v1) |  ~ (cC80(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 18.80/3.46    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC116(v2) = v1) |  ~
% 18.80/3.46      (cC116(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool]
% 18.80/3.46    :  ! [v2: $i] : (v1 = v0 |  ~ (cC96(v2) = v1) |  ~ (cC96(v2) = v0)) &  ! [v0:
% 18.80/3.46      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 18.80/3.46      ~ (cC114(v2) = v1) |  ~ (cC114(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 18.80/3.46    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC112(v2) = v1) |  ~
% 18.80/3.46      (cC112(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool]
% 18.80/3.46    :  ! [v2: $i] : (v1 = v0 |  ~ (cC110(v2) = v1) |  ~ (cC110(v2) = v0)) &  !
% 18.80/3.46    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0
% 18.80/3.46      |  ~ (cC108(v2) = v1) |  ~ (cC108(v2) = v0)) &  ! [v0: MultipleValueBool] : 
% 18.80/3.46    ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC106(v2) = v1) |  ~
% 18.80/3.46      (cC106(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool]
% 18.80/3.46    :  ! [v2: $i] : (v1 = v0 |  ~ (cC104(v2) = v1) |  ~ (cC104(v2) = v0)) &  !
% 18.80/3.46    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0
% 18.80/3.46      |  ~ (cC4(v2) = v1) |  ~ (cC4(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 18.80/3.46    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC102(v2) = v1) |  ~
% 18.80/3.46      (cC102(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool]
% 18.80/3.46    :  ! [v2: $i] : (v1 = v0 |  ~ (cC34(v2) = v1) |  ~ (cC34(v2) = v0)) &  ! [v0:
% 18.80/3.46      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 18.80/3.46      ~ (cC100(v2) = v1) |  ~ (cC100(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 18.80/3.46    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC98(v2) = v1) |  ~
% 18.80/3.46      (cC98(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 18.80/3.46     ! [v2: $i] : (v1 = v0 |  ~ (xsd_string(v2) = v1) |  ~ (xsd_string(v2) = v0))
% 18.80/3.46    &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1
% 18.80/3.46      = v0 |  ~ (xsd_integer(v2) = v1) |  ~ (xsd_integer(v2) = v0)) &  ! [v0:
% 18.80/3.46      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 18.80/3.46      ~ (cowlNothing(v2) = v1) |  ~ (cowlNothing(v2) = v0)) &  ! [v0:
% 18.80/3.46      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 18.80/3.46      ~ (cowlThing(v2) = v1) |  ~ (cowlThing(v2) = v0))
% 18.80/3.46  
% 18.80/3.46  Further assumptions not needed in the proof:
% 18.80/3.46  --------------------------------------------
% 18.80/3.46  axiom_11, axiom_12, axiom_13, axiom_14, axiom_15, axiom_16, axiom_17, axiom_18,
% 18.80/3.46  axiom_19, axiom_2, axiom_20, axiom_22, axiom_23, axiom_24, axiom_25, axiom_26,
% 18.80/3.46  axiom_27, axiom_28, axiom_29, axiom_3, axiom_30, axiom_31, axiom_32, axiom_33,
% 18.80/3.46  axiom_34, axiom_35, axiom_36, axiom_37, axiom_38, axiom_39, axiom_4, axiom_40,
% 18.80/3.46  axiom_41, axiom_42, axiom_45, axiom_46, axiom_47, axiom_48, axiom_49, axiom_5,
% 18.80/3.46  axiom_50, axiom_51, axiom_52, axiom_53, axiom_54, axiom_55, axiom_56, axiom_58,
% 18.80/3.46  axiom_6, axiom_60, axiom_61, axiom_63, axiom_65, axiom_66, axiom_67, axiom_69,
% 18.80/3.46  axiom_7, axiom_70, axiom_72, axiom_73, axiom_79, axiom_81, axiom_83, axiom_85,
% 18.80/3.46  axiom_89, axiom_90
% 18.80/3.46  
% 18.80/3.46  Those formulas are unsatisfiable:
% 18.80/3.46  ---------------------------------
% 18.80/3.46  
% 18.80/3.46  Begin of proof
% 18.80/3.46  | 
% 19.28/3.46  | ALPHA: (axiom_0) implies:
% 19.28/3.46  |   (1)   ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) |  ~ $i(v0))
% 19.28/3.46  |   (2)   ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (cowlThing(v0) = v1) |  ~
% 19.28/3.46  |          $i(v0))
% 19.28/3.46  | 
% 19.28/3.46  | ALPHA: (axiom_1) implies:
% 19.28/3.46  |   (3)   ! [v0: $i] : ( ~ (xsd_string(v0) = 0) |  ~ $i(v0) |  ? [v1: int] : ( ~
% 19.28/3.46  |            (v1 = 0) & xsd_integer(v0) = v1))
% 19.28/3.47  |   (4)   ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (xsd_string(v0) = v1) |  ~
% 19.28/3.47  |          $i(v0) | xsd_integer(v0) = 0)
% 19.28/3.47  | 
% 19.28/3.47  | ALPHA: (axiom_8) implies:
% 19.28/3.47  |   (5)   ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (cC112(v0) = v1) |  ~ $i(v0)
% 19.28/3.47  |          |  ? [v2: any] :  ? [v3: any] : (cC110(v0) = v2 & cC4(v0) = v3 & ( ~
% 19.28/3.47  |              (v3 = 0) | v2 = 0)))
% 19.28/3.47  | 
% 19.28/3.47  | ALPHA: (axiom_9) implies:
% 19.28/3.47  |   (6)   ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (cC96(v0) = v1) |  ~ $i(v0) |
% 19.28/3.47  |           ? [v2: any] :  ? [v3: any] : (cC114(v0) = v3 & cC112(v0) = v2 & (v3
% 19.28/3.47  |              = 0 | v2 = 0)))
% 19.28/3.47  | 
% 19.28/3.47  | ALPHA: (axiom_10) implies:
% 19.28/3.47  |   (7)   ! [v0: $i] : ( ~ (cC80(v0) = 0) |  ~ $i(v0) |  ? [v1: any] :  ? [v2:
% 19.28/3.47  |            any] : (cC116(v0) = v2 & cC114(v0) = v1 & ( ~ (v1 = 0) | v2 = 0)))
% 19.28/3.47  |   (8)   ! [v0: $i] :  ! [v1: any] : ( ~ (cC80(v0) = v1) |  ~ $i(v0) |  ? [v2:
% 19.28/3.47  |            any] :  ? [v3: any] : (cC116(v0) = v2 & cC114(v0) = v3 & ( ~ (v2 =
% 19.28/3.47  |                0) | (v3 = 0 & v1 = 0))))
% 19.28/3.47  | 
% 19.28/3.47  | ALPHA: (axiom_21) implies:
% 19.28/3.47  |   (9)   ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (cC136(v0) = v1) |  ~ $i(v0)
% 19.28/3.47  |          |  ? [v2: any] :  ? [v3: any] : (cC134(v0) = v3 & cC116(v0) = v2 & (
% 19.28/3.47  |              ~ (v2 = 0) | v3 = 0)))
% 19.28/3.47  | 
% 19.28/3.47  | ALPHA: (axiom_43) implies:
% 19.28/3.48  |   (10)   ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (cC56(v0) = v1) |  ~ $i(v0)
% 19.28/3.48  |           |  ? [v2: any] :  ? [v3: any] : (cC10(v0) = v3 & cC4(v0) = v2 & ( ~
% 19.28/3.48  |               (v2 = 0) | v3 = 0)))
% 19.28/3.48  | 
% 19.28/3.48  | ALPHA: (axiom_44) implies:
% 19.28/3.48  |   (11)   ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (cC58(v0) = v1) |  ~ $i(v0)
% 19.28/3.48  |           |  ? [v2: any] :  ? [v3: any] : (cC56(v0) = v3 & cC34(v0) = v2 & ( ~
% 19.28/3.48  |               (v3 = 0) |  ~ (v2 = 0))))
% 19.28/3.48  | 
% 19.28/3.48  | ALPHA: (axiom_57) implies:
% 19.28/3.48  |   (12)   ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (cC80(v0) = v1) |  ~ $i(v0)
% 19.28/3.48  |           |  ? [v2: any] :  ? [v3: any] : (cC78(v0) = v2 & cC76(v0) = v3 & (v3
% 19.28/3.48  |               = 0 | v2 = 0)))
% 19.28/3.48  | 
% 19.28/3.48  | ALPHA: (axiom_59) implies:
% 19.28/3.48  |   (13)   ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (cC84(v0) = v1) |  ~ $i(v0)
% 19.28/3.48  |           |  ! [v2: $i] : ( ~ (cC82(v2) = 0) |  ~ $i(v2) |  ? [v3: int] : ( ~
% 19.28/3.48  |               (v3 = 0) & rR1(v0, v2) = v3)))
% 19.28/3.48  | 
% 19.28/3.48  | ALPHA: (axiom_62) implies:
% 19.28/3.48  |   (14)   ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (cC90(v0) = v1) |  ~ $i(v0)
% 19.28/3.48  |           |  ! [v2: $i] : ( ~ (cC88(v2) = 0) |  ~ $i(v2) |  ? [v3: int] : ( ~
% 19.28/3.48  |               (v3 = 0) & rR1(v0, v2) = v3)))
% 19.28/3.48  | 
% 19.28/3.48  | ALPHA: (axiom_64) implies:
% 19.28/3.48  |   (15)   ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (cC94(v0) = v1) |  ~ $i(v0)
% 19.28/3.48  |           |  ? [v2: any] :  ? [v3: any] : (cC92(v0) = v3 & cC86(v0) = v2 & (v3
% 19.28/3.48  |               = 0 | v2 = 0)))
% 19.28/3.48  | 
% 19.28/3.48  | ALPHA: (axiom_68) implies:
% 19.28/3.48  |   (16)   ? [v0: int] : ( ~ (v0 = 0) & cC84(iV822576) = v0)
% 19.28/3.48  | 
% 19.28/3.48  | ALPHA: (axiom_71) implies:
% 19.28/3.48  |   (17)   ? [v0: int] : ( ~ (v0 = 0) & cC134(iV822576) = v0)
% 19.28/3.48  | 
% 19.28/3.48  | ALPHA: (axiom_74) implies:
% 19.28/3.48  |   (18)  cC34(iV822576) = 0
% 19.28/3.48  | 
% 19.28/3.48  | ALPHA: (axiom_75) implies:
% 19.28/3.48  |   (19)  cC4(iV822576) = 0
% 19.28/3.48  | 
% 19.28/3.48  | ALPHA: (axiom_76) implies:
% 19.28/3.48  |   (20)   ? [v0: int] : ( ~ (v0 = 0) & cC96(iV822576) = v0)
% 19.28/3.48  | 
% 19.28/3.48  | ALPHA: (axiom_77) implies:
% 19.28/3.48  |   (21)   ? [v0: int] : ( ~ (v0 = 0) & cC86(iV822576) = v0)
% 19.28/3.48  | 
% 19.28/3.48  | ALPHA: (axiom_78) implies:
% 19.28/3.48  |   (22)   ? [v0: int] : ( ~ (v0 = 0) & cC92(iV822576) = v0)
% 19.28/3.49  | 
% 19.28/3.49  | ALPHA: (axiom_80) implies:
% 19.28/3.49  |   (23)  cowlThing(iV822576) = 0
% 19.28/3.49  | 
% 19.28/3.49  | ALPHA: (axiom_82) implies:
% 19.28/3.49  |   (24)   ? [v0: int] : ( ~ (v0 = 0) & cC90(iV822576) = v0)
% 19.28/3.49  | 
% 19.28/3.49  | ALPHA: (axiom_84) implies:
% 19.28/3.49  |   (25)   ? [v0: int] : ( ~ (v0 = 0) & cC10(iV822576) = v0)
% 19.28/3.49  | 
% 19.28/3.49  | ALPHA: (axiom_86) implies:
% 19.28/3.49  |   (26)   ? [v0: int] : ( ~ (v0 = 0) & cC76(iV822576) = v0)
% 19.28/3.49  | 
% 19.28/3.49  | ALPHA: (axiom_87) implies:
% 19.28/3.49  |   (27)   ? [v0: int] : ( ~ (v0 = 0) & cC112(iV822576) = v0)
% 19.28/3.49  | 
% 19.28/3.49  | ALPHA: (axiom_88) implies:
% 19.28/3.49  |   (28)   ? [v0: int] : ( ~ (v0 = 0) & cC78(iV822576) = v0)
% 19.28/3.49  | 
% 19.28/3.49  | ALPHA: (the_axiom) implies:
% 19.28/3.49  |   (29)  $i(iV822576)
% 19.28/3.49  |   (30)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3: any] :  ? [v4:
% 19.28/3.49  |           any] :  ? [v5: any] :  ? [v6: any] :  ? [v7: any] :  ? [v8: any] :
% 19.28/3.49  |         (cC94(iV822576) = v0 & cC58(iV822576) = v2 & cC56(iV822576) = v4 &
% 19.28/3.49  |           cC136(iV822576) = v7 & cC80(iV822576) = v8 & cC116(iV822576) = v3 &
% 19.28/3.49  |           cC114(iV822576) = v6 & cC110(iV822576) = v5 & cowlThing(iV822576) =
% 19.28/3.49  |           v1 & ( ~ (v8 = 0) |  ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4
% 19.28/3.49  |               = 0) |  ~ (v3 = 0) |  ~ (v2 = 0) |  ~ (v1 = 0) |  ~ (v0 = 0) | 
% 19.28/3.49  |             ? [v9: $i] :  ? [v10: any] :  ? [v11: any] : (xsd_string(v9) = v10
% 19.28/3.49  |               & xsd_integer(v9) = v11 & $i(v9) & ((v11 = 0 & v10 = 0) | ( ~
% 19.28/3.49  |                   (v11 = 0) &  ~ (v10 = 0)))) |  ? [v9: $i] :  ? [v10: any] : 
% 19.28/3.49  |             ? [v11: any] : (cowlNothing(v9) = v11 & cowlThing(v9) = v10 &
% 19.28/3.49  |               $i(v9) & ( ~ (v10 = 0) | v11 = 0))))
% 19.28/3.49  | 
% 19.28/3.49  | ALPHA: (function-axioms) implies:
% 19.28/3.49  |   (31)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 19.28/3.49  |         : (v1 = v0 |  ~ (cowlThing(v2) = v1) |  ~ (cowlThing(v2) = v0))
% 19.43/3.49  |   (32)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 19.43/3.49  |         : (v1 = v0 |  ~ (xsd_integer(v2) = v1) |  ~ (xsd_integer(v2) = v0))
% 19.43/3.49  |   (33)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 19.43/3.49  |         : (v1 = v0 |  ~ (cC34(v2) = v1) |  ~ (cC34(v2) = v0))
% 19.43/3.50  |   (34)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 19.43/3.50  |         : (v1 = v0 |  ~ (cC4(v2) = v1) |  ~ (cC4(v2) = v0))
% 19.43/3.50  |   (35)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 19.43/3.50  |         : (v1 = v0 |  ~ (cC110(v2) = v1) |  ~ (cC110(v2) = v0))
% 19.43/3.50  |   (36)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 19.43/3.50  |         : (v1 = v0 |  ~ (cC112(v2) = v1) |  ~ (cC112(v2) = v0))
% 19.43/3.50  |   (37)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 19.43/3.50  |         : (v1 = v0 |  ~ (cC114(v2) = v1) |  ~ (cC114(v2) = v0))
% 19.43/3.50  |   (38)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 19.43/3.50  |         : (v1 = v0 |  ~ (cC116(v2) = v1) |  ~ (cC116(v2) = v0))
% 19.43/3.50  |   (39)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 19.43/3.50  |         : (v1 = v0 |  ~ (cC10(v2) = v1) |  ~ (cC10(v2) = v0))
% 19.43/3.50  |   (40)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 19.43/3.50  |         : (v1 = v0 |  ~ (cC134(v2) = v1) |  ~ (cC134(v2) = v0))
% 19.43/3.50  |   (41)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 19.43/3.50  |         : (v1 = v0 |  ~ (cC56(v2) = v1) |  ~ (cC56(v2) = v0))
% 19.43/3.50  |   (42)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 19.43/3.50  |         : (v1 = v0 |  ~ (cC76(v2) = v1) |  ~ (cC76(v2) = v0))
% 19.43/3.50  |   (43)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 19.43/3.50  |         : (v1 = v0 |  ~ (cC78(v2) = v1) |  ~ (cC78(v2) = v0))
% 19.43/3.50  |   (44)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 19.43/3.50  |         : (v1 = v0 |  ~ (cC86(v2) = v1) |  ~ (cC86(v2) = v0))
% 19.43/3.50  |   (45)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 19.43/3.50  |         : (v1 = v0 |  ~ (cC92(v2) = v1) |  ~ (cC92(v2) = v0))
% 19.43/3.50  | 
% 19.43/3.50  | DELTA: instantiating (28) with fresh symbol all_75_0 gives:
% 19.43/3.50  |   (46)   ~ (all_75_0 = 0) & cC78(iV822576) = all_75_0
% 19.43/3.50  | 
% 19.43/3.50  | ALPHA: (46) implies:
% 19.43/3.50  |   (47)   ~ (all_75_0 = 0)
% 19.43/3.50  |   (48)  cC78(iV822576) = all_75_0
% 19.43/3.50  | 
% 19.43/3.50  | DELTA: instantiating (25) with fresh symbol all_77_0 gives:
% 19.43/3.50  |   (49)   ~ (all_77_0 = 0) & cC10(iV822576) = all_77_0
% 19.43/3.50  | 
% 19.43/3.50  | ALPHA: (49) implies:
% 19.43/3.50  |   (50)   ~ (all_77_0 = 0)
% 19.43/3.50  |   (51)  cC10(iV822576) = all_77_0
% 19.43/3.50  | 
% 19.43/3.50  | DELTA: instantiating (20) with fresh symbol all_81_0 gives:
% 19.43/3.50  |   (52)   ~ (all_81_0 = 0) & cC96(iV822576) = all_81_0
% 19.43/3.50  | 
% 19.43/3.50  | ALPHA: (52) implies:
% 19.43/3.50  |   (53)   ~ (all_81_0 = 0)
% 19.43/3.50  |   (54)  cC96(iV822576) = all_81_0
% 19.43/3.50  | 
% 19.43/3.50  | DELTA: instantiating (26) with fresh symbol all_83_0 gives:
% 19.43/3.50  |   (55)   ~ (all_83_0 = 0) & cC76(iV822576) = all_83_0
% 19.43/3.50  | 
% 19.43/3.50  | ALPHA: (55) implies:
% 19.43/3.50  |   (56)   ~ (all_83_0 = 0)
% 19.43/3.50  |   (57)  cC76(iV822576) = all_83_0
% 19.43/3.50  | 
% 19.43/3.50  | DELTA: instantiating (22) with fresh symbol all_85_0 gives:
% 19.43/3.50  |   (58)   ~ (all_85_0 = 0) & cC92(iV822576) = all_85_0
% 19.43/3.50  | 
% 19.43/3.50  | ALPHA: (58) implies:
% 19.43/3.50  |   (59)   ~ (all_85_0 = 0)
% 19.43/3.50  |   (60)  cC92(iV822576) = all_85_0
% 19.43/3.50  | 
% 19.43/3.50  | DELTA: instantiating (16) with fresh symbol all_87_0 gives:
% 19.43/3.51  |   (61)   ~ (all_87_0 = 0) & cC84(iV822576) = all_87_0
% 19.43/3.51  | 
% 19.43/3.51  | ALPHA: (61) implies:
% 19.43/3.51  |   (62)   ~ (all_87_0 = 0)
% 19.43/3.51  |   (63)  cC84(iV822576) = all_87_0
% 19.43/3.51  | 
% 19.43/3.51  | DELTA: instantiating (17) with fresh symbol all_89_0 gives:
% 19.43/3.51  |   (64)   ~ (all_89_0 = 0) & cC134(iV822576) = all_89_0
% 19.43/3.51  | 
% 19.43/3.51  | ALPHA: (64) implies:
% 19.43/3.51  |   (65)   ~ (all_89_0 = 0)
% 19.43/3.51  |   (66)  cC134(iV822576) = all_89_0
% 19.43/3.51  | 
% 19.43/3.51  | DELTA: instantiating (27) with fresh symbol all_99_0 gives:
% 19.43/3.51  |   (67)   ~ (all_99_0 = 0) & cC112(iV822576) = all_99_0
% 19.43/3.51  | 
% 19.43/3.51  | ALPHA: (67) implies:
% 19.43/3.51  |   (68)   ~ (all_99_0 = 0)
% 19.43/3.51  |   (69)  cC112(iV822576) = all_99_0
% 19.43/3.51  | 
% 19.43/3.51  | DELTA: instantiating (21) with fresh symbol all_101_0 gives:
% 19.43/3.51  |   (70)   ~ (all_101_0 = 0) & cC86(iV822576) = all_101_0
% 19.43/3.51  | 
% 19.43/3.51  | ALPHA: (70) implies:
% 19.43/3.51  |   (71)   ~ (all_101_0 = 0)
% 19.43/3.51  |   (72)  cC86(iV822576) = all_101_0
% 19.43/3.51  | 
% 19.43/3.51  | DELTA: instantiating (24) with fresh symbol all_103_0 gives:
% 19.43/3.51  |   (73)   ~ (all_103_0 = 0) & cC90(iV822576) = all_103_0
% 19.43/3.51  | 
% 19.43/3.51  | ALPHA: (73) implies:
% 19.43/3.51  |   (74)   ~ (all_103_0 = 0)
% 19.43/3.51  |   (75)  cC90(iV822576) = all_103_0
% 19.43/3.51  | 
% 19.43/3.51  | DELTA: instantiating (30) with fresh symbols all_105_0, all_105_1, all_105_2,
% 19.43/3.51  |        all_105_3, all_105_4, all_105_5, all_105_6, all_105_7, all_105_8 gives:
% 19.43/3.51  |   (76)  cC94(iV822576) = all_105_8 & cC58(iV822576) = all_105_6 &
% 19.43/3.51  |         cC56(iV822576) = all_105_4 & cC136(iV822576) = all_105_1 &
% 19.43/3.51  |         cC80(iV822576) = all_105_0 & cC116(iV822576) = all_105_5 &
% 19.43/3.51  |         cC114(iV822576) = all_105_2 & cC110(iV822576) = all_105_3 &
% 19.43/3.51  |         cowlThing(iV822576) = all_105_7 & ( ~ (all_105_0 = 0) |  ~ (all_105_1
% 19.43/3.51  |             = 0) |  ~ (all_105_2 = 0) |  ~ (all_105_3 = 0) |  ~ (all_105_4 =
% 19.43/3.51  |             0) |  ~ (all_105_5 = 0) |  ~ (all_105_6 = 0) |  ~ (all_105_7 = 0)
% 19.43/3.51  |           |  ~ (all_105_8 = 0) |  ? [v0: $i] :  ? [v1: any] :  ? [v2: any] :
% 19.43/3.51  |           (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1
% 19.43/3.51  |                 = 0) | ( ~ (v2 = 0) &  ~ (v1 = 0)))) |  ? [v0: $i] :  ? [v1:
% 19.43/3.51  |             any] :  ? [v2: any] : (cowlNothing(v0) = v2 & cowlThing(v0) = v1 &
% 19.43/3.51  |             $i(v0) & ( ~ (v1 = 0) | v2 = 0)))
% 19.43/3.51  | 
% 19.43/3.51  | ALPHA: (76) implies:
% 19.43/3.51  |   (77)  cowlThing(iV822576) = all_105_7
% 19.43/3.51  |   (78)  cC110(iV822576) = all_105_3
% 19.43/3.51  |   (79)  cC114(iV822576) = all_105_2
% 19.43/3.51  |   (80)  cC116(iV822576) = all_105_5
% 19.43/3.51  |   (81)  cC80(iV822576) = all_105_0
% 19.43/3.51  |   (82)  cC136(iV822576) = all_105_1
% 19.43/3.51  |   (83)  cC56(iV822576) = all_105_4
% 19.43/3.51  |   (84)  cC58(iV822576) = all_105_6
% 19.43/3.51  |   (85)  cC94(iV822576) = all_105_8
% 19.43/3.51  |   (86)   ~ (all_105_0 = 0) |  ~ (all_105_1 = 0) |  ~ (all_105_2 = 0) |  ~
% 19.43/3.51  |         (all_105_3 = 0) |  ~ (all_105_4 = 0) |  ~ (all_105_5 = 0) |  ~
% 19.43/3.51  |         (all_105_6 = 0) |  ~ (all_105_7 = 0) |  ~ (all_105_8 = 0) |  ? [v0:
% 19.43/3.51  |           $i] :  ? [v1: any] :  ? [v2: any] : (xsd_string(v0) = v1 &
% 19.43/3.51  |           xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & 
% 19.43/3.51  |               ~ (v1 = 0)))) |  ? [v0: $i] :  ? [v1: any] :  ? [v2: any] :
% 19.43/3.51  |         (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) |
% 19.43/3.51  |             v2 = 0))
% 19.43/3.51  | 
% 19.43/3.51  | GROUND_INST: instantiating (31) with 0, all_105_7, iV822576, simplifying with
% 19.43/3.51  |              (23), (77) gives:
% 19.43/3.51  |   (87)  all_105_7 = 0
% 19.43/3.51  | 
% 19.43/3.51  | GROUND_INST: instantiating (5) with iV822576, all_99_0, simplifying with (29),
% 19.43/3.51  |              (69) gives:
% 19.43/3.51  |   (88)  all_99_0 = 0 |  ? [v0: any] :  ? [v1: any] : (cC110(iV822576) = v0 &
% 19.43/3.51  |           cC4(iV822576) = v1 & ( ~ (v1 = 0) | v0 = 0))
% 19.43/3.51  | 
% 19.43/3.51  | GROUND_INST: instantiating (6) with iV822576, all_81_0, simplifying with (29),
% 19.43/3.51  |              (54) gives:
% 19.43/3.52  |   (89)  all_81_0 = 0 |  ? [v0: any] :  ? [v1: any] : (cC114(iV822576) = v1 &
% 19.43/3.52  |           cC112(iV822576) = v0 & (v1 = 0 | v0 = 0))
% 19.43/3.52  | 
% 19.43/3.52  | GROUND_INST: instantiating (12) with iV822576, all_105_0, simplifying with
% 19.43/3.52  |              (29), (81) gives:
% 19.43/3.52  |   (90)  all_105_0 = 0 |  ? [v0: any] :  ? [v1: any] : (cC78(iV822576) = v0 &
% 19.43/3.52  |           cC76(iV822576) = v1 & (v1 = 0 | v0 = 0))
% 19.43/3.52  | 
% 19.43/3.52  | GROUND_INST: instantiating (8) with iV822576, all_105_0, simplifying with
% 19.43/3.52  |              (29), (81) gives:
% 19.43/3.52  |   (91)   ? [v0: any] :  ? [v1: any] : (cC116(iV822576) = v0 & cC114(iV822576)
% 19.43/3.52  |           = v1 & ( ~ (v0 = 0) | (v1 = 0 & all_105_0 = 0)))
% 19.43/3.52  | 
% 19.43/3.52  | GROUND_INST: instantiating (9) with iV822576, all_105_1, simplifying with
% 19.43/3.52  |              (29), (82) gives:
% 19.43/3.52  |   (92)  all_105_1 = 0 |  ? [v0: any] :  ? [v1: any] : (cC134(iV822576) = v1 &
% 19.43/3.52  |           cC116(iV822576) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 19.43/3.52  | 
% 19.43/3.52  | GROUND_INST: instantiating (10) with iV822576, all_105_4, simplifying with
% 19.43/3.52  |              (29), (83) gives:
% 19.43/3.52  |   (93)  all_105_4 = 0 |  ? [v0: any] :  ? [v1: any] : (cC10(iV822576) = v1 &
% 19.43/3.52  |           cC4(iV822576) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 19.43/3.52  | 
% 19.43/3.52  | GROUND_INST: instantiating (11) with iV822576, all_105_6, simplifying with
% 19.43/3.52  |              (29), (84) gives:
% 19.43/3.52  |   (94)  all_105_6 = 0 |  ? [v0: any] :  ? [v1: any] : (cC56(iV822576) = v1 &
% 19.43/3.52  |           cC34(iV822576) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0)))
% 19.43/3.52  | 
% 19.43/3.52  | GROUND_INST: instantiating (13) with iV822576, all_87_0, simplifying with
% 19.43/3.52  |              (29), (63) gives:
% 19.43/3.52  |   (95)  all_87_0 = 0 |  ! [v0: $i] : ( ~ (cC82(v0) = 0) |  ~ $i(v0) |  ? [v1:
% 19.43/3.52  |             int] : ( ~ (v1 = 0) & rR1(iV822576, v0) = v1))
% 19.43/3.52  | 
% 19.43/3.52  | GROUND_INST: instantiating (14) with iV822576, all_103_0, simplifying with
% 19.43/3.52  |              (29), (75) gives:
% 19.43/3.52  |   (96)  all_103_0 = 0 |  ! [v0: $i] : ( ~ (cC88(v0) = 0) |  ~ $i(v0) |  ? [v1:
% 19.43/3.52  |             int] : ( ~ (v1 = 0) & rR1(iV822576, v0) = v1))
% 19.43/3.52  | 
% 19.43/3.52  | GROUND_INST: instantiating (15) with iV822576, all_105_8, simplifying with
% 19.43/3.52  |              (29), (85) gives:
% 19.43/3.52  |   (97)  all_105_8 = 0 |  ? [v0: any] :  ? [v1: any] : (cC92(iV822576) = v1 &
% 19.43/3.52  |           cC86(iV822576) = v0 & (v1 = 0 | v0 = 0))
% 19.43/3.52  | 
% 19.43/3.52  | DELTA: instantiating (91) with fresh symbols all_116_0, all_116_1 gives:
% 19.43/3.52  |   (98)  cC116(iV822576) = all_116_1 & cC114(iV822576) = all_116_0 & ( ~
% 19.43/3.52  |           (all_116_1 = 0) | (all_116_0 = 0 & all_105_0 = 0))
% 19.43/3.52  | 
% 19.43/3.52  | ALPHA: (98) implies:
% 19.43/3.52  |   (99)  cC114(iV822576) = all_116_0
% 19.43/3.52  |   (100)  cC116(iV822576) = all_116_1
% 19.43/3.52  |   (101)   ~ (all_116_1 = 0) | (all_116_0 = 0 & all_105_0 = 0)
% 19.43/3.52  | 
% 19.43/3.52  | BETA: splitting (97) gives:
% 19.43/3.52  | 
% 19.43/3.52  | Case 1:
% 19.43/3.52  | | 
% 19.43/3.52  | |   (102)  all_105_8 = 0
% 19.43/3.52  | | 
% 19.43/3.52  | | BETA: splitting (93) gives:
% 19.43/3.52  | | 
% 19.43/3.52  | | Case 1:
% 19.43/3.52  | | | 
% 19.43/3.52  | | |   (103)  all_105_4 = 0
% 19.43/3.52  | | | 
% 19.43/3.52  | | | REDUCE: (83), (103) imply:
% 19.43/3.52  | | |   (104)  cC56(iV822576) = 0
% 19.43/3.52  | | | 
% 19.43/3.52  | | | BETA: splitting (89) gives:
% 19.43/3.52  | | | 
% 19.43/3.52  | | | Case 1:
% 19.43/3.52  | | | | 
% 19.43/3.52  | | | |   (105)  all_81_0 = 0
% 19.43/3.52  | | | | 
% 19.43/3.52  | | | | REDUCE: (53), (105) imply:
% 19.43/3.52  | | | |   (106)  $false
% 19.43/3.52  | | | | 
% 19.43/3.52  | | | | CLOSE: (106) is inconsistent.
% 19.43/3.52  | | | | 
% 19.43/3.52  | | | Case 2:
% 19.43/3.52  | | | | 
% 19.43/3.52  | | | |   (107)   ? [v0: any] :  ? [v1: any] : (cC114(iV822576) = v1 &
% 19.43/3.52  | | | |            cC112(iV822576) = v0 & (v1 = 0 | v0 = 0))
% 19.43/3.52  | | | | 
% 19.43/3.52  | | | | DELTA: instantiating (107) with fresh symbols all_138_0, all_138_1
% 19.43/3.52  | | | |        gives:
% 19.43/3.52  | | | |   (108)  cC114(iV822576) = all_138_0 & cC112(iV822576) = all_138_1 &
% 19.43/3.52  | | | |          (all_138_0 = 0 | all_138_1 = 0)
% 19.43/3.52  | | | | 
% 19.43/3.52  | | | | ALPHA: (108) implies:
% 19.43/3.52  | | | |   (109)  cC112(iV822576) = all_138_1
% 19.43/3.52  | | | |   (110)  cC114(iV822576) = all_138_0
% 19.43/3.52  | | | |   (111)  all_138_0 = 0 | all_138_1 = 0
% 19.43/3.52  | | | | 
% 19.43/3.52  | | | | BETA: splitting (90) gives:
% 19.43/3.52  | | | | 
% 19.43/3.52  | | | | Case 1:
% 19.43/3.52  | | | | | 
% 19.43/3.52  | | | | |   (112)  all_105_0 = 0
% 19.43/3.52  | | | | | 
% 19.43/3.52  | | | | | REDUCE: (81), (112) imply:
% 19.43/3.52  | | | | |   (113)  cC80(iV822576) = 0
% 19.43/3.52  | | | | | 
% 19.43/3.52  | | | | | BETA: splitting (88) gives:
% 19.43/3.52  | | | | | 
% 19.43/3.52  | | | | | Case 1:
% 19.43/3.52  | | | | | | 
% 19.43/3.52  | | | | | |   (114)  all_99_0 = 0
% 19.43/3.52  | | | | | | 
% 19.43/3.52  | | | | | | REDUCE: (68), (114) imply:
% 19.43/3.52  | | | | | |   (115)  $false
% 19.43/3.52  | | | | | | 
% 19.43/3.52  | | | | | | CLOSE: (115) is inconsistent.
% 19.43/3.52  | | | | | | 
% 19.43/3.52  | | | | | Case 2:
% 19.43/3.52  | | | | | | 
% 19.43/3.52  | | | | | |   (116)   ? [v0: any] :  ? [v1: any] : (cC110(iV822576) = v0 &
% 19.43/3.52  | | | | | |            cC4(iV822576) = v1 & ( ~ (v1 = 0) | v0 = 0))
% 19.43/3.52  | | | | | | 
% 19.43/3.52  | | | | | | DELTA: instantiating (116) with fresh symbols all_148_0, all_148_1
% 19.43/3.52  | | | | | |        gives:
% 19.43/3.53  | | | | | |   (117)  cC110(iV822576) = all_148_1 & cC4(iV822576) = all_148_0 & (
% 19.43/3.53  | | | | | |            ~ (all_148_0 = 0) | all_148_1 = 0)
% 19.43/3.53  | | | | | | 
% 19.43/3.53  | | | | | | ALPHA: (117) implies:
% 19.43/3.53  | | | | | |   (118)  cC4(iV822576) = all_148_0
% 19.43/3.53  | | | | | |   (119)  cC110(iV822576) = all_148_1
% 19.43/3.53  | | | | | |   (120)   ~ (all_148_0 = 0) | all_148_1 = 0
% 19.43/3.53  | | | | | | 
% 19.43/3.53  | | | | | | BETA: splitting (94) gives:
% 19.43/3.53  | | | | | | 
% 19.43/3.53  | | | | | | Case 1:
% 19.43/3.53  | | | | | | | 
% 19.43/3.53  | | | | | | |   (121)  all_105_6 = 0
% 19.43/3.53  | | | | | | | 
% 19.43/3.53  | | | | | | | GROUND_INST: instantiating (34) with 0, all_148_0, iV822576,
% 19.43/3.53  | | | | | | |              simplifying with (19), (118) gives:
% 19.43/3.53  | | | | | | |   (122)  all_148_0 = 0
% 19.43/3.53  | | | | | | | 
% 19.43/3.53  | | | | | | | GROUND_INST: instantiating (35) with all_105_3, all_148_1,
% 19.43/3.53  | | | | | | |              iV822576, simplifying with (78), (119) gives:
% 19.43/3.53  | | | | | | |   (123)  all_148_1 = all_105_3
% 19.43/3.53  | | | | | | | 
% 19.43/3.53  | | | | | | | GROUND_INST: instantiating (36) with all_99_0, all_138_1,
% 19.43/3.53  | | | | | | |              iV822576, simplifying with (69), (109) gives:
% 19.43/3.53  | | | | | | |   (124)  all_138_1 = all_99_0
% 19.43/3.53  | | | | | | | 
% 19.43/3.53  | | | | | | | GROUND_INST: instantiating (37) with all_105_2, all_138_0,
% 19.43/3.53  | | | | | | |              iV822576, simplifying with (79), (110) gives:
% 19.43/3.53  | | | | | | |   (125)  all_138_0 = all_105_2
% 19.43/3.53  | | | | | | | 
% 19.43/3.53  | | | | | | | GROUND_INST: instantiating (37) with all_116_0, all_138_0,
% 19.43/3.53  | | | | | | |              iV822576, simplifying with (99), (110) gives:
% 19.43/3.53  | | | | | | |   (126)  all_138_0 = all_116_0
% 19.43/3.53  | | | | | | | 
% 19.43/3.53  | | | | | | | GROUND_INST: instantiating (38) with all_105_5, all_116_1,
% 19.43/3.53  | | | | | | |              iV822576, simplifying with (80), (100) gives:
% 19.43/3.53  | | | | | | |   (127)  all_116_1 = all_105_5
% 19.43/3.53  | | | | | | | 
% 19.43/3.53  | | | | | | | COMBINE_EQS: (125), (126) imply:
% 19.43/3.53  | | | | | | |   (128)  all_116_0 = all_105_2
% 19.43/3.53  | | | | | | | 
% 19.43/3.53  | | | | | | | BETA: splitting (111) gives:
% 19.43/3.53  | | | | | | | 
% 19.43/3.53  | | | | | | | Case 1:
% 19.43/3.53  | | | | | | | | 
% 19.43/3.53  | | | | | | | |   (129)  all_138_0 = 0
% 19.43/3.53  | | | | | | | | 
% 19.43/3.53  | | | | | | | | COMBINE_EQS: (125), (129) imply:
% 19.43/3.53  | | | | | | | |   (130)  all_105_2 = 0
% 19.43/3.53  | | | | | | | | 
% 19.43/3.53  | | | | | | | | REDUCE: (79), (130) imply:
% 19.43/3.53  | | | | | | | |   (131)  cC114(iV822576) = 0
% 19.43/3.53  | | | | | | | | 
% 19.43/3.53  | | | | | | | | BETA: splitting (120) gives:
% 19.43/3.53  | | | | | | | | 
% 19.43/3.53  | | | | | | | | Case 1:
% 19.43/3.53  | | | | | | | | | 
% 19.43/3.53  | | | | | | | | |   (132)   ~ (all_148_0 = 0)
% 19.43/3.53  | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | REDUCE: (122), (132) imply:
% 19.43/3.53  | | | | | | | | |   (133)  $false
% 19.43/3.53  | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | CLOSE: (133) is inconsistent.
% 19.43/3.53  | | | | | | | | | 
% 19.43/3.53  | | | | | | | | Case 2:
% 19.43/3.53  | | | | | | | | | 
% 19.43/3.53  | | | | | | | | |   (134)  all_148_1 = 0
% 19.43/3.53  | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | COMBINE_EQS: (123), (134) imply:
% 19.43/3.53  | | | | | | | | |   (135)  all_105_3 = 0
% 19.43/3.53  | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | GROUND_INST: instantiating (7) with iV822576, simplifying with
% 19.43/3.53  | | | | | | | | |              (29), (113) gives:
% 19.43/3.53  | | | | | | | | |   (136)   ? [v0: any] :  ? [v1: any] : (cC116(iV822576) = v1 &
% 19.43/3.53  | | | | | | | | |            cC114(iV822576) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 19.43/3.53  | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | DELTA: instantiating (136) with fresh symbols all_175_0,
% 19.43/3.53  | | | | | | | | |        all_175_1 gives:
% 19.43/3.53  | | | | | | | | |   (137)  cC116(iV822576) = all_175_0 & cC114(iV822576) =
% 19.43/3.53  | | | | | | | | |          all_175_1 & ( ~ (all_175_1 = 0) | all_175_0 = 0)
% 19.43/3.53  | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | ALPHA: (137) implies:
% 19.43/3.53  | | | | | | | | |   (138)  cC114(iV822576) = all_175_1
% 19.43/3.53  | | | | | | | | |   (139)  cC116(iV822576) = all_175_0
% 19.43/3.53  | | | | | | | | |   (140)   ~ (all_175_1 = 0) | all_175_0 = 0
% 19.43/3.53  | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | GROUND_INST: instantiating (37) with 0, all_175_1, iV822576,
% 19.43/3.53  | | | | | | | | |              simplifying with (131), (138) gives:
% 19.43/3.53  | | | | | | | | |   (141)  all_175_1 = 0
% 19.43/3.53  | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | GROUND_INST: instantiating (38) with all_105_5, all_175_0,
% 19.43/3.53  | | | | | | | | |              iV822576, simplifying with (80), (139) gives:
% 19.43/3.53  | | | | | | | | |   (142)  all_175_0 = all_105_5
% 19.43/3.53  | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | BETA: splitting (140) gives:
% 19.43/3.53  | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | Case 1:
% 19.43/3.53  | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | |   (143)   ~ (all_175_1 = 0)
% 19.43/3.53  | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | | REDUCE: (141), (143) imply:
% 19.43/3.53  | | | | | | | | | |   (144)  $false
% 19.43/3.53  | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | | CLOSE: (144) is inconsistent.
% 19.43/3.53  | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | Case 2:
% 19.43/3.53  | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | |   (145)  all_175_0 = 0
% 19.43/3.53  | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | | COMBINE_EQS: (142), (145) imply:
% 19.43/3.53  | | | | | | | | | |   (146)  all_105_5 = 0
% 19.43/3.53  | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | | REDUCE: (80), (146) imply:
% 19.43/3.53  | | | | | | | | | |   (147)  cC116(iV822576) = 0
% 19.43/3.53  | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | | BETA: splitting (92) gives:
% 19.43/3.53  | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | | Case 1:
% 19.43/3.53  | | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | | |   (148)  all_105_1 = 0
% 19.43/3.53  | | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | | | BETA: splitting (86) gives:
% 19.43/3.53  | | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | | | Case 1:
% 19.43/3.53  | | | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | | | |   (149)   ~ (all_105_0 = 0)
% 19.43/3.53  | | | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | | | | REDUCE: (112), (149) imply:
% 19.43/3.53  | | | | | | | | | | | |   (150)  $false
% 19.43/3.53  | | | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | | | | CLOSE: (150) is inconsistent.
% 19.43/3.53  | | | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | | | Case 2:
% 19.43/3.53  | | | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | | | |   (151)   ~ (all_105_1 = 0) |  ~ (all_105_2 = 0) |  ~
% 19.43/3.53  | | | | | | | | | | | |          (all_105_3 = 0) |  ~ (all_105_4 = 0) |  ~
% 19.43/3.53  | | | | | | | | | | | |          (all_105_5 = 0) |  ~ (all_105_6 = 0) |  ~
% 19.43/3.53  | | | | | | | | | | | |          (all_105_7 = 0) |  ~ (all_105_8 = 0) |  ? [v0: $i]
% 19.43/3.53  | | | | | | | | | | | |          :  ? [v1: any] :  ? [v2: any] : (xsd_string(v0) =
% 19.43/3.53  | | | | | | | | | | | |            v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 &
% 19.43/3.53  | | | | | | | | | | | |                v1 = 0) | ( ~ (v2 = 0) &  ~ (v1 = 0)))) |  ?
% 19.43/3.53  | | | | | | | | | | | |          [v0: $i] :  ? [v1: any] :  ? [v2: any] :
% 19.43/3.53  | | | | | | | | | | | |          (cowlNothing(v0) = v2 & cowlThing(v0) = v1 &
% 19.43/3.53  | | | | | | | | | | | |            $i(v0) & ( ~ (v1 = 0) | v2 = 0))
% 19.43/3.53  | | | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | | | | BETA: splitting (151) gives:
% 19.43/3.53  | | | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | | | | Case 1:
% 19.43/3.53  | | | | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | | | | |   (152)   ~ (all_105_1 = 0)
% 19.43/3.53  | | | | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | | | | | REDUCE: (148), (152) imply:
% 19.43/3.53  | | | | | | | | | | | | |   (153)  $false
% 19.43/3.53  | | | | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | | | | | CLOSE: (153) is inconsistent.
% 19.43/3.53  | | | | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | | | | Case 2:
% 19.43/3.53  | | | | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | | | | |   (154)   ~ (all_105_2 = 0) |  ~ (all_105_3 = 0) |  ~
% 19.43/3.53  | | | | | | | | | | | | |          (all_105_4 = 0) |  ~ (all_105_5 = 0) |  ~
% 19.43/3.53  | | | | | | | | | | | | |          (all_105_6 = 0) |  ~ (all_105_7 = 0) |  ~
% 19.43/3.53  | | | | | | | | | | | | |          (all_105_8 = 0) |  ? [v0: $i] :  ? [v1: any] :  ?
% 19.43/3.53  | | | | | | | | | | | | |          [v2: any] : (xsd_string(v0) = v1 & xsd_integer(v0)
% 19.43/3.53  | | | | | | | | | | | | |            = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 =
% 19.43/3.53  | | | | | | | | | | | | |                  0) &  ~ (v1 = 0)))) |  ? [v0: $i] :  ?
% 19.43/3.53  | | | | | | | | | | | | |          [v1: any] :  ? [v2: any] : (cowlNothing(v0) = v2 &
% 19.43/3.53  | | | | | | | | | | | | |            cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2
% 19.43/3.53  | | | | | | | | | | | | |              = 0))
% 19.43/3.53  | | | | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | | | | | BETA: splitting (154) gives:
% 19.43/3.53  | | | | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | | | | | Case 1:
% 19.43/3.53  | | | | | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | | | | | |   (155)   ~ (all_105_2 = 0)
% 19.43/3.53  | | | | | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | | | | | | REDUCE: (130), (155) imply:
% 19.43/3.53  | | | | | | | | | | | | | |   (156)  $false
% 19.43/3.53  | | | | | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | | | | | | CLOSE: (156) is inconsistent.
% 19.43/3.53  | | | | | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | | | | | Case 2:
% 19.43/3.53  | | | | | | | | | | | | | | 
% 19.43/3.53  | | | | | | | | | | | | | |   (157)   ~ (all_105_3 = 0) |  ~ (all_105_4 = 0) |  ~
% 19.43/3.53  | | | | | | | | | | | | | |          (all_105_5 = 0) |  ~ (all_105_6 = 0) |  ~
% 19.43/3.53  | | | | | | | | | | | | | |          (all_105_7 = 0) |  ~ (all_105_8 = 0) |  ? [v0: $i]
% 19.43/3.54  | | | | | | | | | | | | | |          :  ? [v1: any] :  ? [v2: any] : (xsd_string(v0) =
% 19.43/3.54  | | | | | | | | | | | | | |            v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 &
% 19.43/3.54  | | | | | | | | | | | | | |                v1 = 0) | ( ~ (v2 = 0) &  ~ (v1 = 0)))) |  ?
% 19.43/3.54  | | | | | | | | | | | | | |          [v0: $i] :  ? [v1: any] :  ? [v2: any] :
% 19.43/3.54  | | | | | | | | | | | | | |          (cowlNothing(v0) = v2 & cowlThing(v0) = v1 &
% 19.43/3.54  | | | | | | | | | | | | | |            $i(v0) & ( ~ (v1 = 0) | v2 = 0))
% 19.43/3.54  | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 19.43/3.54  | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | Case 1:
% 19.43/3.54  | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | |   (158)   ~ (all_105_3 = 0)
% 19.43/3.54  | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | REDUCE: (135), (158) imply:
% 19.43/3.54  | | | | | | | | | | | | | | |   (159)  $false
% 19.43/3.54  | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | CLOSE: (159) is inconsistent.
% 19.43/3.54  | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | Case 2:
% 19.43/3.54  | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | |   (160)   ~ (all_105_4 = 0) |  ~ (all_105_5 = 0) |  ~
% 19.43/3.54  | | | | | | | | | | | | | | |          (all_105_6 = 0) |  ~ (all_105_7 = 0) |  ~
% 19.43/3.54  | | | | | | | | | | | | | | |          (all_105_8 = 0) |  ? [v0: $i] :  ? [v1: any] :  ?
% 19.43/3.54  | | | | | | | | | | | | | | |          [v2: any] : (xsd_string(v0) = v1 & xsd_integer(v0)
% 19.43/3.54  | | | | | | | | | | | | | | |            = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 =
% 19.43/3.54  | | | | | | | | | | | | | | |                  0) &  ~ (v1 = 0)))) |  ? [v0: $i] :  ?
% 19.43/3.54  | | | | | | | | | | | | | | |          [v1: any] :  ? [v2: any] : (cowlNothing(v0) = v2 &
% 19.43/3.54  | | | | | | | | | | | | | | |            cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2
% 19.43/3.54  | | | | | | | | | | | | | | |              = 0))
% 19.43/3.54  | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 19.43/3.54  | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | Case 1:
% 19.43/3.54  | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | |   (161)   ~ (all_105_4 = 0)
% 19.43/3.54  | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | REDUCE: (103), (161) imply:
% 19.43/3.54  | | | | | | | | | | | | | | | |   (162)  $false
% 19.43/3.54  | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | CLOSE: (162) is inconsistent.
% 19.43/3.54  | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | Case 2:
% 19.43/3.54  | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | |   (163)   ~ (all_105_5 = 0) |  ~ (all_105_6 = 0) |  ~
% 19.43/3.54  | | | | | | | | | | | | | | | |          (all_105_7 = 0) |  ~ (all_105_8 = 0) |  ? [v0: $i]
% 19.43/3.54  | | | | | | | | | | | | | | | |          :  ? [v1: any] :  ? [v2: any] : (xsd_string(v0) =
% 19.43/3.54  | | | | | | | | | | | | | | | |            v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 &
% 19.43/3.54  | | | | | | | | | | | | | | | |                v1 = 0) | ( ~ (v2 = 0) &  ~ (v1 = 0)))) |  ?
% 19.43/3.54  | | | | | | | | | | | | | | | |          [v0: $i] :  ? [v1: any] :  ? [v2: any] :
% 19.43/3.54  | | | | | | | | | | | | | | | |          (cowlNothing(v0) = v2 & cowlThing(v0) = v1 &
% 19.43/3.54  | | | | | | | | | | | | | | | |            $i(v0) & ( ~ (v1 = 0) | v2 = 0))
% 19.43/3.54  | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 19.43/3.54  | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | Case 1:
% 19.43/3.54  | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | |   (164)   ~ (all_105_5 = 0)
% 19.43/3.54  | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | REDUCE: (146), (164) imply:
% 19.43/3.54  | | | | | | | | | | | | | | | | |   (165)  $false
% 19.43/3.54  | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | CLOSE: (165) is inconsistent.
% 19.43/3.54  | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | Case 2:
% 19.43/3.54  | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | |   (166)   ~ (all_105_6 = 0) |  ~ (all_105_7 = 0) |  ~
% 19.43/3.54  | | | | | | | | | | | | | | | | |          (all_105_8 = 0) |  ? [v0: $i] :  ? [v1: any] :  ?
% 19.43/3.54  | | | | | | | | | | | | | | | | |          [v2: any] : (xsd_string(v0) = v1 & xsd_integer(v0)
% 19.43/3.54  | | | | | | | | | | | | | | | | |            = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 =
% 19.43/3.54  | | | | | | | | | | | | | | | | |                  0) &  ~ (v1 = 0)))) |  ? [v0: $i] :  ?
% 19.43/3.54  | | | | | | | | | | | | | | | | |          [v1: any] :  ? [v2: any] : (cowlNothing(v0) = v2 &
% 19.43/3.54  | | | | | | | | | | | | | | | | |            cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2
% 19.43/3.54  | | | | | | | | | | | | | | | | |              = 0))
% 19.43/3.54  | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 19.43/3.54  | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | Case 1:
% 19.43/3.54  | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | |   (167)   ~ (all_105_6 = 0)
% 19.43/3.54  | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | REDUCE: (121), (167) imply:
% 19.43/3.54  | | | | | | | | | | | | | | | | | |   (168)  $false
% 19.43/3.54  | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | CLOSE: (168) is inconsistent.
% 19.43/3.54  | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | Case 2:
% 19.43/3.54  | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | |   (169)   ~ (all_105_7 = 0) |  ~ (all_105_8 = 0) |  ? [v0:
% 19.43/3.54  | | | | | | | | | | | | | | | | | |            $i] :  ? [v1: any] :  ? [v2: any] :
% 19.43/3.54  | | | | | | | | | | | | | | | | | |          (xsd_string(v0) = v1 & xsd_integer(v0) = v2 &
% 19.43/3.54  | | | | | | | | | | | | | | | | | |            $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) &  ~
% 19.43/3.54  | | | | | | | | | | | | | | | | | |                (v1 = 0)))) |  ? [v0: $i] :  ? [v1: any] : 
% 19.43/3.54  | | | | | | | | | | | | | | | | | |          ? [v2: any] : (cowlNothing(v0) = v2 &
% 19.43/3.54  | | | | | | | | | | | | | | | | | |            cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2
% 19.43/3.54  | | | | | | | | | | | | | | | | | |              = 0))
% 19.43/3.54  | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 19.43/3.54  | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | Case 1:
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | |   (170)   ~ (all_105_7 = 0)
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | REDUCE: (87), (170) imply:
% 19.43/3.54  | | | | | | | | | | | | | | | | | | |   (171)  $false
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | CLOSE: (171) is inconsistent.
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | Case 2:
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | |   (172)   ~ (all_105_8 = 0) |  ? [v0: $i] :  ? [v1: any] : 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | |          ? [v2: any] : (xsd_string(v0) = v1 &
% 19.43/3.54  | | | | | | | | | | | | | | | | | | |            xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 =
% 19.43/3.54  | | | | | | | | | | | | | | | | | | |                0) | ( ~ (v2 = 0) &  ~ (v1 = 0)))) |  ? [v0:
% 19.43/3.54  | | | | | | | | | | | | | | | | | | |            $i] :  ? [v1: any] :  ? [v2: any] :
% 19.43/3.54  | | | | | | | | | | | | | | | | | | |          (cowlNothing(v0) = v2 & cowlThing(v0) = v1 &
% 19.43/3.54  | | | | | | | | | | | | | | | | | | |            $i(v0) & ( ~ (v1 = 0) | v2 = 0))
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | BETA: splitting (172) gives:
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | Case 1:
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | |   (173)   ~ (all_105_8 = 0)
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (173) imply:
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | |   (174)  $false
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | CLOSE: (174) is inconsistent.
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | Case 2:
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | |   (175)   ? [v0: $i] :  ? [v1: any] :  ? [v2: any] :
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | |          (xsd_string(v0) = v1 & xsd_integer(v0) = v2 &
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | |            $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) &  ~
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | |                (v1 = 0)))) |  ? [v0: $i] :  ? [v1: any] : 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | |          ? [v2: any] : (cowlNothing(v0) = v2 &
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | |            cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | |              = 0))
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | Case 1:
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | |   (176)   ? [v0: $i] :  ? [v1: any] :  ? [v2: any] :
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | |          (xsd_string(v0) = v1 & xsd_integer(v0) = v2 &
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | |            $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) &  ~
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | |                (v1 = 0))))
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (176) with fresh symbols all_258_0,
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | |        all_258_1, all_258_2 gives:
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | |   (177)  xsd_string(all_258_2) = all_258_1 &
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | |          xsd_integer(all_258_2) = all_258_0 & $i(all_258_2)
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | |          & ((all_258_0 = 0 & all_258_1 = 0) | ( ~
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | |              (all_258_0 = 0) &  ~ (all_258_1 = 0)))
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | ALPHA: (177) implies:
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | |   (178)  $i(all_258_2)
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | |   (179)  xsd_integer(all_258_2) = all_258_0
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | |   (180)  xsd_string(all_258_2) = all_258_1
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | |   (181)  (all_258_0 = 0 & all_258_1 = 0) | ( ~ (all_258_0 =
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | |              0) &  ~ (all_258_1 = 0))
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_258_2, all_258_1,
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | |              simplifying with (178), (180) gives:
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | |   (182)  all_258_1 = 0 | xsd_integer(all_258_2) = 0
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | |   (183)  all_258_0 = 0 & all_258_1 = 0
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (183) implies:
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | |   (184)  all_258_1 = 0
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | |   (185)  all_258_0 = 0
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (180), (184) imply:
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | |   (186)  xsd_string(all_258_2) = 0
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (185) imply:
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | |   (187)  xsd_integer(all_258_2) = 0
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_258_2, simplifying with
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | |              (178), (186) gives:
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | |   (188)   ? [v0: int] : ( ~ (v0 = 0) &
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | |            xsd_integer(all_258_2) = v0)
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (188) with fresh symbol all_272_0
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | |        gives:
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | |   (189)   ~ (all_272_0 = 0) & xsd_integer(all_258_2) =
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | |          all_272_0
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (189) implies:
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | |   (190)   ~ (all_272_0 = 0)
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | |   (191)  xsd_integer(all_258_2) = all_272_0
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with 0, all_272_0, all_258_2,
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | |              simplifying with (187), (191) gives:
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | |   (192)  all_272_0 = 0
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (192) imply:
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | |   (193)  $false
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (193) is inconsistent.
% 19.43/3.54  | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | |   (194)   ~ (all_258_0 = 0) &  ~ (all_258_1 = 0)
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (194) implies:
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | |   (195)   ~ (all_258_1 = 0)
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | |   (196)   ~ (all_258_0 = 0)
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | |   (197)  xsd_integer(all_258_2) = 0
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_258_0, 0, all_258_2,
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (179), (197) gives:
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | |   (198)  all_258_0 = 0
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (196), (198) imply:
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | |   (199)  $false
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (199) is inconsistent.
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | |   (200)  all_258_1 = 0
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (195), (200) imply:
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | |   (201)  $false
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (201) is inconsistent.
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | End of split
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | End of split
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | Case 2:
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | |   (202)   ? [v0: $i] :  ? [v1: any] :  ? [v2: any] :
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | |          (cowlNothing(v0) = v2 & cowlThing(v0) = v1 &
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | |            $i(v0) & ( ~ (v1 = 0) | v2 = 0))
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (202) with fresh symbols all_258_0,
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | |        all_258_1, all_258_2 gives:
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | |   (203)  cowlNothing(all_258_2) = all_258_0 &
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | |          cowlThing(all_258_2) = all_258_1 & $i(all_258_2) &
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_258_1 = 0) | all_258_0 = 0)
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | ALPHA: (203) implies:
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | |   (204)  $i(all_258_2)
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | |   (205)  cowlThing(all_258_2) = all_258_1
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | |   (206)  cowlNothing(all_258_2) = all_258_0
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | |   (207)   ~ (all_258_1 = 0) | all_258_0 = 0
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_258_2, all_258_1,
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | |              simplifying with (204), (205) gives:
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | |   (208)  all_258_1 = 0
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | |   (209)   ~ (all_258_1 = 0)
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (208), (209) imply:
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | |   (210)  $false
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (210) is inconsistent.
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | |   (211)  all_258_0 = 0
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (206), (211) imply:
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | |   (212)  cowlNothing(all_258_2) = 0
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_258_2, simplifying with
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | |              (204), (212) gives:
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | |   (213)  $false
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (213) is inconsistent.
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | End of split
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | End of split
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | End of split
% 19.43/3.55  | | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | | End of split
% 19.43/3.55  | | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | | End of split
% 19.43/3.55  | | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | | End of split
% 19.43/3.55  | | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | | End of split
% 19.43/3.55  | | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | | End of split
% 19.43/3.55  | | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | | End of split
% 19.43/3.55  | | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | End of split
% 19.43/3.55  | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | End of split
% 19.43/3.55  | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | Case 2:
% 19.43/3.55  | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | |   (214)   ? [v0: any] :  ? [v1: any] : (cC134(iV822576) =
% 19.43/3.55  | | | | | | | | | | |            v1 & cC116(iV822576) = v0 & ( ~ (v0 = 0) | v1 =
% 19.43/3.55  | | | | | | | | | | |              0))
% 19.43/3.55  | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | DELTA: instantiating (214) with fresh symbols all_189_0,
% 19.43/3.55  | | | | | | | | | | |        all_189_1 gives:
% 19.43/3.55  | | | | | | | | | | |   (215)  cC134(iV822576) = all_189_0 & cC116(iV822576) =
% 19.43/3.55  | | | | | | | | | | |          all_189_1 & ( ~ (all_189_1 = 0) | all_189_0 = 0)
% 19.43/3.55  | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | ALPHA: (215) implies:
% 19.43/3.55  | | | | | | | | | | |   (216)  cC116(iV822576) = all_189_1
% 19.43/3.55  | | | | | | | | | | |   (217)  cC134(iV822576) = all_189_0
% 19.43/3.55  | | | | | | | | | | |   (218)   ~ (all_189_1 = 0) | all_189_0 = 0
% 19.43/3.55  | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | GROUND_INST: instantiating (38) with 0, all_189_1, iV822576,
% 19.43/3.55  | | | | | | | | | | |              simplifying with (147), (216) gives:
% 19.43/3.55  | | | | | | | | | | |   (219)  all_189_1 = 0
% 19.43/3.55  | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | GROUND_INST: instantiating (40) with all_89_0, all_189_0,
% 19.43/3.55  | | | | | | | | | | |              iV822576, simplifying with (66), (217) gives:
% 19.43/3.55  | | | | | | | | | | |   (220)  all_189_0 = all_89_0
% 19.43/3.55  | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | BETA: splitting (218) gives:
% 19.43/3.55  | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | Case 1:
% 19.43/3.55  | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | |   (221)   ~ (all_189_1 = 0)
% 19.43/3.55  | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | REDUCE: (219), (221) imply:
% 19.43/3.55  | | | | | | | | | | | |   (222)  $false
% 19.43/3.55  | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | CLOSE: (222) is inconsistent.
% 19.43/3.55  | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | Case 2:
% 19.43/3.55  | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | |   (223)  all_189_0 = 0
% 19.43/3.55  | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | COMBINE_EQS: (220), (223) imply:
% 19.43/3.55  | | | | | | | | | | | |   (224)  all_89_0 = 0
% 19.43/3.55  | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | REDUCE: (65), (224) imply:
% 19.43/3.55  | | | | | | | | | | | |   (225)  $false
% 19.43/3.55  | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | | CLOSE: (225) is inconsistent.
% 19.43/3.55  | | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | | End of split
% 19.43/3.55  | | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | | End of split
% 19.43/3.55  | | | | | | | | | | 
% 19.43/3.55  | | | | | | | | | End of split
% 19.43/3.55  | | | | | | | | | 
% 19.43/3.55  | | | | | | | | End of split
% 19.43/3.55  | | | | | | | | 
% 19.43/3.55  | | | | | | | Case 2:
% 19.43/3.55  | | | | | | | | 
% 19.43/3.55  | | | | | | | |   (226)  all_138_1 = 0
% 19.43/3.55  | | | | | | | | 
% 19.43/3.55  | | | | | | | | COMBINE_EQS: (124), (226) imply:
% 19.43/3.55  | | | | | | | |   (227)  all_99_0 = 0
% 19.43/3.55  | | | | | | | | 
% 19.43/3.55  | | | | | | | | REDUCE: (68), (227) imply:
% 19.43/3.55  | | | | | | | |   (228)  $false
% 19.43/3.55  | | | | | | | | 
% 19.43/3.55  | | | | | | | | CLOSE: (228) is inconsistent.
% 19.43/3.55  | | | | | | | | 
% 19.43/3.55  | | | | | | | End of split
% 19.43/3.55  | | | | | | | 
% 19.43/3.55  | | | | | | Case 2:
% 19.43/3.55  | | | | | | | 
% 19.43/3.55  | | | | | | |   (229)   ? [v0: any] :  ? [v1: any] : (cC56(iV822576) = v1 &
% 19.43/3.55  | | | | | | |            cC34(iV822576) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0)))
% 19.43/3.55  | | | | | | | 
% 19.43/3.55  | | | | | | | DELTA: instantiating (229) with fresh symbols all_162_0, all_162_1
% 19.43/3.55  | | | | | | |        gives:
% 19.43/3.55  | | | | | | |   (230)  cC56(iV822576) = all_162_0 & cC34(iV822576) = all_162_1 &
% 19.43/3.55  | | | | | | |          ( ~ (all_162_0 = 0) |  ~ (all_162_1 = 0))
% 19.43/3.55  | | | | | | | 
% 19.43/3.55  | | | | | | | ALPHA: (230) implies:
% 19.43/3.55  | | | | | | |   (231)  cC34(iV822576) = all_162_1
% 19.43/3.55  | | | | | | |   (232)  cC56(iV822576) = all_162_0
% 19.43/3.55  | | | | | | |   (233)   ~ (all_162_0 = 0) |  ~ (all_162_1 = 0)
% 19.43/3.55  | | | | | | | 
% 19.43/3.55  | | | | | | | GROUND_INST: instantiating (33) with 0, all_162_1, iV822576,
% 19.43/3.55  | | | | | | |              simplifying with (18), (231) gives:
% 19.43/3.55  | | | | | | |   (234)  all_162_1 = 0
% 19.43/3.55  | | | | | | | 
% 19.43/3.55  | | | | | | | GROUND_INST: instantiating (41) with 0, all_162_0, iV822576,
% 19.43/3.55  | | | | | | |              simplifying with (104), (232) gives:
% 19.43/3.55  | | | | | | |   (235)  all_162_0 = 0
% 19.43/3.55  | | | | | | | 
% 19.43/3.55  | | | | | | | BETA: splitting (233) gives:
% 19.43/3.55  | | | | | | | 
% 19.43/3.55  | | | | | | | Case 1:
% 19.43/3.55  | | | | | | | | 
% 19.43/3.55  | | | | | | | |   (236)   ~ (all_162_0 = 0)
% 19.43/3.55  | | | | | | | | 
% 19.43/3.55  | | | | | | | | REDUCE: (235), (236) imply:
% 19.43/3.55  | | | | | | | |   (237)  $false
% 19.43/3.55  | | | | | | | | 
% 19.43/3.55  | | | | | | | | CLOSE: (237) is inconsistent.
% 19.43/3.55  | | | | | | | | 
% 19.43/3.55  | | | | | | | Case 2:
% 19.43/3.55  | | | | | | | | 
% 19.43/3.55  | | | | | | | |   (238)   ~ (all_162_1 = 0)
% 19.43/3.55  | | | | | | | | 
% 19.43/3.55  | | | | | | | | REDUCE: (234), (238) imply:
% 19.43/3.55  | | | | | | | |   (239)  $false
% 19.43/3.55  | | | | | | | | 
% 19.43/3.55  | | | | | | | | CLOSE: (239) is inconsistent.
% 19.43/3.55  | | | | | | | | 
% 19.43/3.55  | | | | | | | End of split
% 19.43/3.55  | | | | | | | 
% 19.43/3.55  | | | | | | End of split
% 19.43/3.55  | | | | | | 
% 19.43/3.55  | | | | | End of split
% 19.43/3.55  | | | | | 
% 19.43/3.55  | | | | Case 2:
% 19.43/3.55  | | | | | 
% 19.43/3.55  | | | | |   (240)   ~ (all_105_0 = 0)
% 19.43/3.55  | | | | |   (241)   ? [v0: any] :  ? [v1: any] : (cC78(iV822576) = v0 &
% 19.43/3.55  | | | | |            cC76(iV822576) = v1 & (v1 = 0 | v0 = 0))
% 19.43/3.55  | | | | | 
% 19.43/3.55  | | | | | DELTA: instantiating (241) with fresh symbols all_144_0, all_144_1
% 19.43/3.55  | | | | |        gives:
% 19.43/3.55  | | | | |   (242)  cC78(iV822576) = all_144_1 & cC76(iV822576) = all_144_0 &
% 19.43/3.55  | | | | |          (all_144_0 = 0 | all_144_1 = 0)
% 19.43/3.55  | | | | | 
% 19.43/3.55  | | | | | ALPHA: (242) implies:
% 19.43/3.55  | | | | |   (243)  cC76(iV822576) = all_144_0
% 19.43/3.55  | | | | |   (244)  cC78(iV822576) = all_144_1
% 19.43/3.55  | | | | |   (245)  all_144_0 = 0 | all_144_1 = 0
% 19.43/3.56  | | | | | 
% 19.43/3.56  | | | | | BETA: splitting (101) gives:
% 19.43/3.56  | | | | | 
% 19.43/3.56  | | | | | Case 1:
% 19.43/3.56  | | | | | | 
% 19.43/3.56  | | | | | | 
% 19.43/3.56  | | | | | | GROUND_INST: instantiating (42) with all_83_0, all_144_0, iV822576,
% 19.43/3.56  | | | | | |              simplifying with (57), (243) gives:
% 19.43/3.56  | | | | | |   (246)  all_144_0 = all_83_0
% 19.43/3.56  | | | | | | 
% 19.43/3.56  | | | | | | GROUND_INST: instantiating (43) with all_75_0, all_144_1, iV822576,
% 19.43/3.56  | | | | | |              simplifying with (48), (244) gives:
% 19.43/3.56  | | | | | |   (247)  all_144_1 = all_75_0
% 19.43/3.56  | | | | | | 
% 19.43/3.56  | | | | | | BETA: splitting (245) gives:
% 19.43/3.56  | | | | | | 
% 19.43/3.56  | | | | | | Case 1:
% 19.43/3.56  | | | | | | | 
% 19.43/3.56  | | | | | | |   (248)  all_144_0 = 0
% 19.43/3.56  | | | | | | | 
% 19.43/3.56  | | | | | | | COMBINE_EQS: (246), (248) imply:
% 19.43/3.56  | | | | | | |   (249)  all_83_0 = 0
% 19.43/3.56  | | | | | | | 
% 19.43/3.56  | | | | | | | SIMP: (249) implies:
% 19.43/3.56  | | | | | | |   (250)  all_83_0 = 0
% 19.43/3.56  | | | | | | | 
% 19.43/3.56  | | | | | | | REDUCE: (56), (250) imply:
% 19.43/3.56  | | | | | | |   (251)  $false
% 19.43/3.56  | | | | | | | 
% 19.43/3.56  | | | | | | | CLOSE: (251) is inconsistent.
% 19.43/3.56  | | | | | | | 
% 19.43/3.56  | | | | | | Case 2:
% 19.43/3.56  | | | | | | | 
% 19.43/3.56  | | | | | | |   (252)  all_144_1 = 0
% 19.43/3.56  | | | | | | | 
% 19.43/3.56  | | | | | | | COMBINE_EQS: (247), (252) imply:
% 19.43/3.56  | | | | | | |   (253)  all_75_0 = 0
% 19.43/3.56  | | | | | | | 
% 19.43/3.56  | | | | | | | SIMP: (253) implies:
% 19.43/3.56  | | | | | | |   (254)  all_75_0 = 0
% 19.43/3.56  | | | | | | | 
% 19.43/3.56  | | | | | | | REDUCE: (47), (254) imply:
% 19.43/3.56  | | | | | | |   (255)  $false
% 19.43/3.56  | | | | | | | 
% 19.43/3.56  | | | | | | | CLOSE: (255) is inconsistent.
% 19.43/3.56  | | | | | | | 
% 19.43/3.56  | | | | | | End of split
% 19.43/3.56  | | | | | | 
% 19.43/3.56  | | | | | Case 2:
% 19.43/3.56  | | | | | | 
% 19.43/3.56  | | | | | |   (256)  all_116_0 = 0 & all_105_0 = 0
% 19.43/3.56  | | | | | | 
% 19.43/3.56  | | | | | | ALPHA: (256) implies:
% 19.43/3.56  | | | | | |   (257)  all_105_0 = 0
% 19.43/3.56  | | | | | | 
% 19.43/3.56  | | | | | | REDUCE: (240), (257) imply:
% 19.43/3.56  | | | | | |   (258)  $false
% 19.43/3.56  | | | | | | 
% 19.43/3.56  | | | | | | CLOSE: (258) is inconsistent.
% 19.43/3.56  | | | | | | 
% 19.43/3.56  | | | | | End of split
% 19.43/3.56  | | | | | 
% 19.43/3.56  | | | | End of split
% 19.43/3.56  | | | | 
% 19.43/3.56  | | | End of split
% 19.43/3.56  | | | 
% 19.43/3.56  | | Case 2:
% 19.43/3.56  | | | 
% 19.43/3.56  | | |   (259)   ? [v0: any] :  ? [v1: any] : (cC10(iV822576) = v1 &
% 19.43/3.56  | | |            cC4(iV822576) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 19.43/3.56  | | | 
% 19.43/3.56  | | | DELTA: instantiating (259) with fresh symbols all_130_0, all_130_1 gives:
% 19.43/3.56  | | |   (260)  cC10(iV822576) = all_130_0 & cC4(iV822576) = all_130_1 & ( ~
% 19.43/3.56  | | |            (all_130_1 = 0) | all_130_0 = 0)
% 19.43/3.56  | | | 
% 19.43/3.56  | | | ALPHA: (260) implies:
% 19.43/3.56  | | |   (261)  cC4(iV822576) = all_130_1
% 19.43/3.56  | | |   (262)  cC10(iV822576) = all_130_0
% 19.43/3.56  | | |   (263)   ~ (all_130_1 = 0) | all_130_0 = 0
% 19.43/3.56  | | | 
% 19.43/3.56  | | | BETA: splitting (96) gives:
% 19.43/3.56  | | | 
% 19.43/3.56  | | | Case 1:
% 19.43/3.56  | | | | 
% 19.43/3.56  | | | |   (264)  all_103_0 = 0
% 19.43/3.56  | | | | 
% 19.43/3.56  | | | | REDUCE: (74), (264) imply:
% 19.43/3.56  | | | |   (265)  $false
% 19.43/3.56  | | | | 
% 19.43/3.56  | | | | CLOSE: (265) is inconsistent.
% 19.43/3.56  | | | | 
% 19.43/3.56  | | | Case 2:
% 19.43/3.56  | | | | 
% 19.43/3.56  | | | | 
% 19.43/3.56  | | | | GROUND_INST: instantiating (34) with 0, all_130_1, iV822576, simplifying
% 19.43/3.56  | | | |              with (19), (261) gives:
% 19.43/3.56  | | | |   (266)  all_130_1 = 0
% 19.43/3.56  | | | | 
% 19.43/3.56  | | | | GROUND_INST: instantiating (39) with all_77_0, all_130_0, iV822576,
% 19.43/3.56  | | | |              simplifying with (51), (262) gives:
% 19.43/3.56  | | | |   (267)  all_130_0 = all_77_0
% 19.43/3.56  | | | | 
% 19.43/3.56  | | | | BETA: splitting (263) gives:
% 19.43/3.56  | | | | 
% 19.43/3.56  | | | | Case 1:
% 19.43/3.56  | | | | | 
% 19.43/3.56  | | | | |   (268)   ~ (all_130_1 = 0)
% 19.43/3.56  | | | | | 
% 19.43/3.56  | | | | | REDUCE: (266), (268) imply:
% 19.43/3.56  | | | | |   (269)  $false
% 19.43/3.56  | | | | | 
% 19.43/3.56  | | | | | CLOSE: (269) is inconsistent.
% 19.43/3.56  | | | | | 
% 19.43/3.56  | | | | Case 2:
% 19.43/3.56  | | | | | 
% 19.43/3.56  | | | | |   (270)  all_130_0 = 0
% 19.43/3.56  | | | | | 
% 19.43/3.56  | | | | | COMBINE_EQS: (267), (270) imply:
% 19.43/3.56  | | | | |   (271)  all_77_0 = 0
% 19.43/3.56  | | | | | 
% 19.43/3.56  | | | | | REDUCE: (50), (271) imply:
% 19.43/3.56  | | | | |   (272)  $false
% 19.43/3.56  | | | | | 
% 19.43/3.56  | | | | | CLOSE: (272) is inconsistent.
% 19.43/3.56  | | | | | 
% 19.43/3.56  | | | | End of split
% 19.43/3.56  | | | | 
% 19.43/3.56  | | | End of split
% 19.43/3.56  | | | 
% 19.43/3.56  | | End of split
% 19.43/3.56  | | 
% 19.43/3.56  | Case 2:
% 19.43/3.56  | | 
% 19.43/3.56  | |   (273)   ? [v0: any] :  ? [v1: any] : (cC92(iV822576) = v1 & cC86(iV822576)
% 19.43/3.56  | |            = v0 & (v1 = 0 | v0 = 0))
% 19.43/3.56  | | 
% 19.43/3.56  | | DELTA: instantiating (273) with fresh symbols all_122_0, all_122_1 gives:
% 19.43/3.56  | |   (274)  cC92(iV822576) = all_122_0 & cC86(iV822576) = all_122_1 &
% 19.43/3.56  | |          (all_122_0 = 0 | all_122_1 = 0)
% 19.43/3.56  | | 
% 19.43/3.56  | | ALPHA: (274) implies:
% 19.43/3.56  | |   (275)  cC86(iV822576) = all_122_1
% 19.43/3.56  | |   (276)  cC92(iV822576) = all_122_0
% 19.43/3.56  | |   (277)  all_122_0 = 0 | all_122_1 = 0
% 19.43/3.56  | | 
% 19.43/3.56  | | BETA: splitting (95) gives:
% 19.43/3.56  | | 
% 19.43/3.56  | | Case 1:
% 19.43/3.56  | | | 
% 19.43/3.56  | | |   (278)  all_87_0 = 0
% 19.43/3.56  | | | 
% 19.43/3.56  | | | REDUCE: (62), (278) imply:
% 19.43/3.56  | | |   (279)  $false
% 19.43/3.56  | | | 
% 19.43/3.56  | | | CLOSE: (279) is inconsistent.
% 19.43/3.56  | | | 
% 19.43/3.56  | | Case 2:
% 19.43/3.56  | | | 
% 19.43/3.56  | | | 
% 19.43/3.56  | | | GROUND_INST: instantiating (44) with all_101_0, all_122_1, iV822576,
% 19.43/3.56  | | |              simplifying with (72), (275) gives:
% 19.43/3.56  | | |   (280)  all_122_1 = all_101_0
% 19.43/3.56  | | | 
% 19.43/3.56  | | | GROUND_INST: instantiating (45) with all_85_0, all_122_0, iV822576,
% 19.43/3.56  | | |              simplifying with (60), (276) gives:
% 19.43/3.56  | | |   (281)  all_122_0 = all_85_0
% 19.43/3.56  | | | 
% 19.43/3.56  | | | BETA: splitting (277) gives:
% 19.43/3.56  | | | 
% 19.43/3.56  | | | Case 1:
% 19.43/3.56  | | | | 
% 19.43/3.56  | | | |   (282)  all_122_0 = 0
% 19.43/3.56  | | | | 
% 19.43/3.56  | | | | COMBINE_EQS: (281), (282) imply:
% 19.43/3.56  | | | |   (283)  all_85_0 = 0
% 19.43/3.56  | | | | 
% 19.43/3.56  | | | | REDUCE: (59), (283) imply:
% 19.43/3.56  | | | |   (284)  $false
% 19.43/3.56  | | | | 
% 19.43/3.56  | | | | CLOSE: (284) is inconsistent.
% 19.43/3.56  | | | | 
% 19.43/3.56  | | | Case 2:
% 19.43/3.56  | | | | 
% 19.43/3.56  | | | |   (285)  all_122_1 = 0
% 19.43/3.56  | | | | 
% 19.43/3.56  | | | | COMBINE_EQS: (280), (285) imply:
% 19.43/3.56  | | | |   (286)  all_101_0 = 0
% 19.43/3.56  | | | | 
% 19.43/3.56  | | | | SIMP: (286) implies:
% 19.43/3.56  | | | |   (287)  all_101_0 = 0
% 19.43/3.56  | | | | 
% 19.43/3.56  | | | | REDUCE: (71), (287) imply:
% 19.43/3.56  | | | |   (288)  $false
% 19.43/3.56  | | | | 
% 19.43/3.56  | | | | CLOSE: (288) is inconsistent.
% 19.43/3.56  | | | | 
% 19.43/3.56  | | | End of split
% 19.43/3.56  | | | 
% 19.43/3.56  | | End of split
% 19.43/3.56  | | 
% 19.43/3.56  | End of split
% 19.43/3.56  | 
% 19.43/3.56  End of proof
% 19.43/3.56  % SZS output end Proof for theBenchmark
% 19.43/3.56  
% 19.43/3.56  2960ms
%------------------------------------------------------------------------------