TSTP Solution File: KRS067+1 by Princess---230619

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : KRS067+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 : n026.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 05:51:07 EDT 2023

% Result   : Unsatisfiable 3.91s 1.31s
% Output   : Proof 4.85s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KRS067+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34  % Computer : n026.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Aug 28 02:37:04 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.60  ________       _____
% 0.19/0.60  ___  __ \_________(_)________________________________
% 0.19/0.60  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.19/0.60  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.19/0.60  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.19/0.60  
% 0.19/0.60  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.60  (2023-06-19)
% 0.19/0.60  
% 0.19/0.60  (c) Philipp Rümmer, 2009-2023
% 0.19/0.60  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.60                Amanda Stjerna.
% 0.19/0.60  Free software under BSD-3-Clause.
% 0.19/0.60  
% 0.19/0.60  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.60  
% 0.19/0.61  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.19/0.62  Running up to 7 provers in parallel.
% 0.19/0.64  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.64  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.64  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.64  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.64  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.64  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.64  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.98/0.97  Prover 4: Preprocessing ...
% 1.98/0.97  Prover 1: Preprocessing ...
% 1.98/1.02  Prover 3: Preprocessing ...
% 1.98/1.02  Prover 2: Preprocessing ...
% 1.98/1.02  Prover 5: Preprocessing ...
% 1.98/1.02  Prover 0: Preprocessing ...
% 1.98/1.02  Prover 6: Preprocessing ...
% 3.44/1.19  Prover 6: Constructing countermodel ...
% 3.44/1.20  Prover 1: Constructing countermodel ...
% 3.44/1.20  Prover 3: Constructing countermodel ...
% 3.44/1.20  Prover 5: Proving ...
% 3.44/1.20  Prover 2: Proving ...
% 3.91/1.25  Prover 4: Constructing countermodel ...
% 3.91/1.30  Prover 5: proved (664ms)
% 3.91/1.31  
% 3.91/1.31  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.91/1.31  
% 3.91/1.31  Prover 3: stopped
% 3.91/1.32  Prover 6: stopped
% 3.91/1.32  Prover 2: stopped
% 4.46/1.34  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 4.46/1.34  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 4.46/1.34  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 4.46/1.34  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 4.46/1.34  Prover 7: Preprocessing ...
% 4.46/1.34  Prover 10: Preprocessing ...
% 4.46/1.34  Prover 0: Proving ...
% 4.46/1.35  Prover 8: Preprocessing ...
% 4.46/1.35  Prover 0: stopped
% 4.46/1.36  Prover 11: Preprocessing ...
% 4.46/1.36  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 4.46/1.37  Prover 7: Warning: ignoring some quantifiers
% 4.46/1.37  Prover 7: Constructing countermodel ...
% 4.85/1.39  Prover 10: Warning: ignoring some quantifiers
% 4.85/1.39  Prover 10: Constructing countermodel ...
% 4.85/1.41  Prover 13: Preprocessing ...
% 4.85/1.42  Prover 8: Warning: ignoring some quantifiers
% 4.85/1.43  Prover 1: Found proof (size 33)
% 4.85/1.43  Prover 1: proved (803ms)
% 4.85/1.43  Prover 8: Constructing countermodel ...
% 4.85/1.43  Prover 13: Warning: ignoring some quantifiers
% 4.85/1.43  Prover 7: stopped
% 4.85/1.43  Prover 4: stopped
% 4.85/1.43  Prover 10: stopped
% 4.85/1.43  Prover 13: Constructing countermodel ...
% 4.85/1.44  Prover 8: stopped
% 4.85/1.44  Prover 13: stopped
% 4.85/1.49  Prover 11: Constructing countermodel ...
% 4.85/1.50  Prover 11: stopped
% 4.85/1.50  
% 4.85/1.50  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.85/1.50  
% 4.85/1.50  % SZS output start Proof for theBenchmark
% 4.85/1.51  Assumptions after simplification:
% 4.85/1.51  ---------------------------------
% 4.85/1.51  
% 4.85/1.51    (axiom_2)
% 4.85/1.54     ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (cUnsatisfiable(v0) = v1) |  ~
% 4.85/1.54      $i(v0) |  ? [v2: any] :  ? [v3: any] :  ? [v4: any] : (cc(v0) = v2 & cb(v0)
% 4.85/1.54        = v3 & ca(v0) = v4 & ( ~ (v4 = 0) |  ~ (v2 = 0)) & ( ~ (v3 = 0) | ( ~ (v4
% 4.85/1.54              = 0) &  ~ (v2 = 0))))) &  ! [v0: $i] : ( ~ (cUnsatisfiable(v0) = 0)
% 4.85/1.54      |  ~ $i(v0) |  ? [v1: any] :  ? [v2: any] :  ? [v3: any] : (cc(v0) = v1 &
% 4.85/1.54        cb(v0) = v2 & ca(v0) = v3 & ((v3 = 0 & v1 = 0) | (v2 = 0 & (v3 = 0 | v1 =
% 4.85/1.54              0)))))
% 4.85/1.54  
% 4.85/1.54    (axiom_3)
% 4.85/1.55     ! [v0: $i] : ( ~ (ca(v0) = 0) |  ~ $i(v0) |  ? [v1: int] :  ? [v2: int] : ( ~
% 4.85/1.55        (v2 = 0) &  ~ (v1 = 0) & cc(v0) = v1 & cb(v0) = v2))
% 4.85/1.55  
% 4.85/1.55    (axiom_4)
% 4.85/1.55     ! [v0: $i] : ( ~ (cc(v0) = 0) |  ~ $i(v0) |  ? [v1: int] : ( ~ (v1 = 0) &
% 4.85/1.55        cb(v0) = v1))
% 4.85/1.55  
% 4.85/1.55    (axiom_5)
% 4.85/1.55    cUnsatisfiable(i2003_11_14_17_18_1956) = 0 & $i(i2003_11_14_17_18_1956)
% 4.85/1.55  
% 4.85/1.55    (function-axioms)
% 4.85/1.55     ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 4.85/1.55      v0 |  ~ (cUnsatisfiable(v2) = v1) |  ~ (cUnsatisfiable(v2) = v0)) &  ! [v0:
% 4.85/1.55      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 4.85/1.56      ~ (cc(v2) = v1) |  ~ (cc(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 4.85/1.56      MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cb(v2) = v1) |  ~ (cb(v2)
% 4.85/1.56        = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 4.85/1.56      $i] : (v1 = v0 |  ~ (ca(v2) = v1) |  ~ (ca(v2) = v0)) &  ! [v0:
% 4.85/1.56      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 4.85/1.56      ~ (xsd_string(v2) = v1) |  ~ (xsd_string(v2) = v0)) &  ! [v0:
% 4.85/1.56      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 4.85/1.56      ~ (xsd_integer(v2) = v1) |  ~ (xsd_integer(v2) = v0)) &  ! [v0:
% 4.85/1.56      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 4.85/1.56      ~ (cowlNothing(v2) = v1) |  ~ (cowlNothing(v2) = v0)) &  ! [v0:
% 4.85/1.56      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 4.85/1.56      ~ (cowlThing(v2) = v1) |  ~ (cowlThing(v2) = v0))
% 4.85/1.56  
% 4.85/1.56  Further assumptions not needed in the proof:
% 4.85/1.56  --------------------------------------------
% 4.85/1.56  axiom_0, axiom_1
% 4.85/1.56  
% 4.85/1.56  Those formulas are unsatisfiable:
% 4.85/1.56  ---------------------------------
% 4.85/1.56  
% 4.85/1.56  Begin of proof
% 4.85/1.56  | 
% 4.85/1.56  | ALPHA: (axiom_2) implies:
% 4.85/1.56  |   (1)   ! [v0: $i] : ( ~ (cUnsatisfiable(v0) = 0) |  ~ $i(v0) |  ? [v1: any] :
% 4.85/1.56  |           ? [v2: any] :  ? [v3: any] : (cc(v0) = v1 & cb(v0) = v2 & ca(v0) =
% 4.85/1.56  |            v3 & ((v3 = 0 & v1 = 0) | (v2 = 0 & (v3 = 0 | v1 = 0)))))
% 4.85/1.56  | 
% 4.85/1.56  | ALPHA: (axiom_5) implies:
% 4.85/1.56  |   (2)  $i(i2003_11_14_17_18_1956)
% 4.85/1.56  |   (3)  cUnsatisfiable(i2003_11_14_17_18_1956) = 0
% 4.85/1.56  | 
% 4.85/1.56  | ALPHA: (function-axioms) implies:
% 4.85/1.56  |   (4)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :
% 4.85/1.56  |        (v1 = v0 |  ~ (cb(v2) = v1) |  ~ (cb(v2) = v0))
% 4.85/1.56  |   (5)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :
% 4.85/1.56  |        (v1 = v0 |  ~ (cc(v2) = v1) |  ~ (cc(v2) = v0))
% 4.85/1.56  | 
% 4.85/1.57  | GROUND_INST: instantiating (1) with i2003_11_14_17_18_1956, simplifying with
% 4.85/1.57  |              (2), (3) gives:
% 4.85/1.57  |   (6)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 4.85/1.57  |        (cc(i2003_11_14_17_18_1956) = v0 & cb(i2003_11_14_17_18_1956) = v1 &
% 4.85/1.57  |          ca(i2003_11_14_17_18_1956) = v2 & ((v2 = 0 & v0 = 0) | (v1 = 0 & (v2
% 4.85/1.57  |                = 0 | v0 = 0))))
% 4.85/1.57  | 
% 4.85/1.57  | DELTA: instantiating (6) with fresh symbols all_14_0, all_14_1, all_14_2
% 4.85/1.57  |        gives:
% 4.85/1.57  |   (7)  cc(i2003_11_14_17_18_1956) = all_14_2 & cb(i2003_11_14_17_18_1956) =
% 4.85/1.57  |        all_14_1 & ca(i2003_11_14_17_18_1956) = all_14_0 & ((all_14_0 = 0 &
% 4.85/1.57  |            all_14_2 = 0) | (all_14_1 = 0 & (all_14_0 = 0 | all_14_2 = 0)))
% 4.85/1.57  | 
% 4.85/1.57  | ALPHA: (7) implies:
% 4.85/1.57  |   (8)  ca(i2003_11_14_17_18_1956) = all_14_0
% 4.85/1.57  |   (9)  cb(i2003_11_14_17_18_1956) = all_14_1
% 4.85/1.57  |   (10)  cc(i2003_11_14_17_18_1956) = all_14_2
% 4.85/1.57  |   (11)  (all_14_0 = 0 & all_14_2 = 0) | (all_14_1 = 0 & (all_14_0 = 0 |
% 4.85/1.57  |             all_14_2 = 0))
% 4.85/1.57  | 
% 4.85/1.57  | BETA: splitting (11) gives:
% 4.85/1.57  | 
% 4.85/1.57  | Case 1:
% 4.85/1.57  | | 
% 4.85/1.57  | |   (12)  all_14_0 = 0 & all_14_2 = 0
% 4.85/1.57  | | 
% 4.85/1.57  | | ALPHA: (12) implies:
% 4.85/1.57  | |   (13)  all_14_2 = 0
% 4.85/1.57  | |   (14)  all_14_0 = 0
% 4.85/1.57  | | 
% 4.85/1.57  | | REDUCE: (10), (13) imply:
% 4.85/1.57  | |   (15)  cc(i2003_11_14_17_18_1956) = 0
% 4.85/1.57  | | 
% 4.85/1.57  | | REDUCE: (8), (14) imply:
% 4.85/1.57  | |   (16)  ca(i2003_11_14_17_18_1956) = 0
% 4.85/1.57  | | 
% 4.85/1.57  | | GROUND_INST: instantiating (axiom_3) with i2003_11_14_17_18_1956,
% 4.85/1.57  | |              simplifying with (2), (16) gives:
% 4.85/1.58  | |   (17)   ? [v0: int] :  ? [v1: int] : ( ~ (v1 = 0) &  ~ (v0 = 0) &
% 4.85/1.58  | |           cc(i2003_11_14_17_18_1956) = v0 & cb(i2003_11_14_17_18_1956) = v1)
% 4.85/1.58  | | 
% 4.85/1.58  | | DELTA: instantiating (17) with fresh symbols all_30_0, all_30_1 gives:
% 4.85/1.58  | |   (18)   ~ (all_30_0 = 0) &  ~ (all_30_1 = 0) & cc(i2003_11_14_17_18_1956) =
% 4.85/1.58  | |         all_30_1 & cb(i2003_11_14_17_18_1956) = all_30_0
% 4.85/1.58  | | 
% 4.85/1.58  | | ALPHA: (18) implies:
% 4.85/1.58  | |   (19)   ~ (all_30_1 = 0)
% 4.85/1.58  | |   (20)  cc(i2003_11_14_17_18_1956) = all_30_1
% 4.85/1.58  | | 
% 4.85/1.58  | | GROUND_INST: instantiating (5) with 0, all_30_1, i2003_11_14_17_18_1956,
% 4.85/1.58  | |              simplifying with (15), (20) gives:
% 4.85/1.58  | |   (21)  all_30_1 = 0
% 4.85/1.58  | | 
% 4.85/1.58  | | REDUCE: (19), (21) imply:
% 4.85/1.58  | |   (22)  $false
% 4.85/1.58  | | 
% 4.85/1.58  | | CLOSE: (22) is inconsistent.
% 4.85/1.58  | | 
% 4.85/1.58  | Case 2:
% 4.85/1.58  | | 
% 4.85/1.58  | |   (23)  all_14_1 = 0 & (all_14_0 = 0 | all_14_2 = 0)
% 4.85/1.58  | | 
% 4.85/1.58  | | ALPHA: (23) implies:
% 4.85/1.58  | |   (24)  all_14_1 = 0
% 4.85/1.58  | |   (25)  all_14_0 = 0 | all_14_2 = 0
% 4.85/1.58  | | 
% 4.85/1.58  | | REDUCE: (9), (24) imply:
% 4.85/1.58  | |   (26)  cb(i2003_11_14_17_18_1956) = 0
% 4.85/1.58  | | 
% 4.85/1.58  | | BETA: splitting (25) gives:
% 4.85/1.58  | | 
% 4.85/1.58  | | Case 1:
% 4.85/1.58  | | | 
% 4.85/1.58  | | |   (27)  all_14_0 = 0
% 4.85/1.58  | | | 
% 4.85/1.58  | | | REDUCE: (8), (27) imply:
% 4.85/1.58  | | |   (28)  ca(i2003_11_14_17_18_1956) = 0
% 4.85/1.58  | | | 
% 4.85/1.58  | | | GROUND_INST: instantiating (axiom_3) with i2003_11_14_17_18_1956,
% 4.85/1.58  | | |              simplifying with (2), (28) gives:
% 4.85/1.58  | | |   (29)   ? [v0: int] :  ? [v1: int] : ( ~ (v1 = 0) &  ~ (v0 = 0) &
% 4.85/1.58  | | |           cc(i2003_11_14_17_18_1956) = v0 & cb(i2003_11_14_17_18_1956) =
% 4.85/1.58  | | |           v1)
% 4.85/1.58  | | | 
% 4.85/1.58  | | | DELTA: instantiating (29) with fresh symbols all_35_0, all_35_1 gives:
% 4.85/1.58  | | |   (30)   ~ (all_35_0 = 0) &  ~ (all_35_1 = 0) & cc(i2003_11_14_17_18_1956)
% 4.85/1.58  | | |         = all_35_1 & cb(i2003_11_14_17_18_1956) = all_35_0
% 4.85/1.58  | | | 
% 4.85/1.58  | | | ALPHA: (30) implies:
% 4.85/1.58  | | |   (31)   ~ (all_35_0 = 0)
% 4.85/1.58  | | |   (32)  cb(i2003_11_14_17_18_1956) = all_35_0
% 4.85/1.58  | | | 
% 4.85/1.58  | | | GROUND_INST: instantiating (4) with 0, all_35_0, i2003_11_14_17_18_1956,
% 4.85/1.58  | | |              simplifying with (26), (32) gives:
% 4.85/1.58  | | |   (33)  all_35_0 = 0
% 4.85/1.58  | | | 
% 4.85/1.58  | | | REDUCE: (31), (33) imply:
% 4.85/1.58  | | |   (34)  $false
% 4.85/1.58  | | | 
% 4.85/1.58  | | | CLOSE: (34) is inconsistent.
% 4.85/1.58  | | | 
% 4.85/1.58  | | Case 2:
% 4.85/1.58  | | | 
% 4.85/1.58  | | |   (35)  all_14_2 = 0
% 4.85/1.58  | | | 
% 4.85/1.59  | | | REDUCE: (10), (35) imply:
% 4.85/1.59  | | |   (36)  cc(i2003_11_14_17_18_1956) = 0
% 4.85/1.59  | | | 
% 4.85/1.59  | | | GROUND_INST: instantiating (axiom_4) with i2003_11_14_17_18_1956,
% 4.85/1.59  | | |              simplifying with (2), (36) gives:
% 4.85/1.59  | | |   (37)   ? [v0: int] : ( ~ (v0 = 0) & cb(i2003_11_14_17_18_1956) = v0)
% 4.85/1.59  | | | 
% 4.85/1.59  | | | DELTA: instantiating (37) with fresh symbol all_35_0 gives:
% 4.85/1.59  | | |   (38)   ~ (all_35_0 = 0) & cb(i2003_11_14_17_18_1956) = all_35_0
% 4.85/1.59  | | | 
% 4.85/1.59  | | | ALPHA: (38) implies:
% 4.85/1.59  | | |   (39)   ~ (all_35_0 = 0)
% 4.85/1.59  | | |   (40)  cb(i2003_11_14_17_18_1956) = all_35_0
% 4.85/1.59  | | | 
% 4.85/1.59  | | | GROUND_INST: instantiating (4) with 0, all_35_0, i2003_11_14_17_18_1956,
% 4.85/1.59  | | |              simplifying with (26), (40) gives:
% 4.85/1.59  | | |   (41)  all_35_0 = 0
% 4.85/1.59  | | | 
% 4.85/1.59  | | | REDUCE: (39), (41) imply:
% 4.85/1.59  | | |   (42)  $false
% 4.85/1.59  | | | 
% 4.85/1.59  | | | CLOSE: (42) is inconsistent.
% 4.85/1.59  | | | 
% 4.85/1.59  | | End of split
% 4.85/1.59  | | 
% 4.85/1.59  | End of split
% 4.85/1.59  | 
% 4.85/1.59  End of proof
% 4.85/1.59  % SZS output end Proof for theBenchmark
% 4.85/1.59  
% 4.85/1.59  983ms
%------------------------------------------------------------------------------