%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : SEU202+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n021.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 17:43:14 EDT 2023

% Result   : Theorem 52.56s 7.71s
% Output   : Proof 53.77s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU202+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Aug 23 21:09:24 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.66  ________       _____
% 0.20/0.66  ___  __ \_________(_)________________________________
% 0.20/0.66  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.20/0.66  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.20/0.66  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.20/0.66  
% 0.20/0.66  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.66  (2023-06-19)
% 0.20/0.66  
% 0.20/0.66  (c) Philipp Rümmer, 2009-2023
% 0.20/0.66  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.66                Amanda Stjerna.
% 0.20/0.66  Free software under BSD-3-Clause.
% 0.20/0.66  
% 0.20/0.66  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.66  
% 0.20/0.66  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.67  Running up to 7 provers in parallel.
% 0.20/0.69  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.69  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.69  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.69  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.69  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.69  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.69  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.61/1.11  Prover 4: Preprocessing ...
% 2.61/1.11  Prover 1: Preprocessing ...
% 2.82/1.15  Prover 3: Preprocessing ...
% 2.82/1.15  Prover 6: Preprocessing ...
% 2.82/1.15  Prover 5: Preprocessing ...
% 2.82/1.15  Prover 0: Preprocessing ...
% 2.82/1.15  Prover 2: Preprocessing ...
% 5.26/1.57  Prover 1: Warning: ignoring some quantifiers
% 5.93/1.62  Prover 1: Constructing countermodel ...
% 5.93/1.62  Prover 4: Warning: ignoring some quantifiers
% 6.43/1.63  Prover 4: Constructing countermodel ...
% 6.43/1.63  Prover 3: Warning: ignoring some quantifiers
% 6.43/1.64  Prover 5: Proving ...
% 6.43/1.65  Prover 3: Constructing countermodel ...
% 6.43/1.65  Prover 6: Proving ...
% 6.43/1.66  Prover 2: Proving ...
% 6.43/1.67  Prover 0: Proving ...
% 52.56/7.70  Prover 4: Found proof (size 312)
% 52.56/7.70  Prover 4: proved (7015ms)
% 52.56/7.70  Prover 0: stopped
% 52.56/7.70  Prover 6: stopped
% 52.56/7.70  Prover 2: stopped
% 52.56/7.70  Prover 3: stopped
% 52.56/7.70  Prover 5: stopped
% 52.56/7.71  Prover 1: stopped
% 52.56/7.71  
% 52.56/7.71  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 52.56/7.71  
% 52.56/7.73  % SZS output start Proof for theBenchmark
% 52.56/7.73  Assumptions after simplification:
% 52.56/7.73  ---------------------------------
% 52.56/7.73  
% 52.56/7.73    (d11_relat_1)
% 53.17/7.76     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :  ! [v5:
% 53.17/7.76      $i] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ~ (ordered_pair(v3, v4)
% 53.17/7.76        = v5) |  ~ (relation(v2) = 0) |  ~ (relation(v0) = 0) |  ~ $i(v4) |  ~
% 53.17/7.76      $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ? [v7: any] : 
% 53.17/7.76      ? [v8: any] : (in(v5, v2) = v8 & in(v5, v0) = v7 & in(v3, v1) = v6 & ( ~ (v7
% 53.17/7.76            = 0) |  ~ (v6 = 0) | v8 = 0))) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2:
% 53.17/7.76      $i] :  ! [v3: $i] :  ! [v4: $i] :  ! [v5: $i] : ( ~
% 53.17/7.76      (relation_dom_restriction(v0, v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) | 
% 53.17/7.76      ~ (relation(v2) = 0) |  ~ (relation(v0) = 0) |  ~ $i(v4) |  ~ $i(v3) |  ~
% 53.17/7.76      $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ? [v7: any] :  ? [v8: any]
% 53.17/7.76      : (in(v5, v2) = v6 & in(v5, v0) = v8 & in(v3, v1) = v7 & ( ~ (v6 = 0) | (v8
% 53.17/7.76            = 0 & v7 = 0)))) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3:
% 53.17/7.76      $i] : (v3 = v2 |  ~ (relation_dom_restriction(v0, v1) = v3) |  ~
% 53.17/7.77      (relation(v2) = 0) |  ~ (relation(v0) = 0) |  ~ $i(v2) |  ~ $i(v1) |  ~
% 53.17/7.77      $i(v0) |  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: any] :  ? [v8:
% 53.17/7.77        any] :  ? [v9: any] : (ordered_pair(v4, v5) = v6 & in(v6, v2) = v7 &
% 53.17/7.77        in(v6, v0) = v9 & in(v4, v1) = v8 & $i(v6) & $i(v5) & $i(v4) & ( ~ (v9 =
% 53.17/7.77            0) |  ~ (v8 = 0) |  ~ (v7 = 0)) & (v7 = 0 | (v9 = 0 & v8 = 0))))
% 53.17/7.77  
% 53.17/7.77    (d12_relat_1)
% 53.17/7.77     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :  ! [v5:
% 53.17/7.77      $i] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~ (ordered_pair(v3, v4)
% 53.17/7.77        = v5) |  ~ (relation(v2) = 0) |  ~ $i(v4) |  ~ $i(v3) |  ~ $i(v2) |  ~
% 53.17/7.77      $i(v1) |  ~ $i(v0) |  ? [v6: int] :  ? [v7: any] :  ? [v8: any] : (( ~ (v6 =
% 53.17/7.77            0) & relation(v1) = v6) | (in(v5, v2) = v8 & in(v5, v1) = v7 & in(v4,
% 53.17/7.77            v0) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0) | v8 = 0)))) &  ! [v0: $i] :  !
% 53.17/7.77    [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :  ! [v5: $i] : ( ~
% 53.17/7.77      (relation_rng_restriction(v0, v1) = v2) |  ~ (ordered_pair(v3, v4) = v5) | 
% 53.17/7.77      ~ (relation(v2) = 0) |  ~ $i(v4) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~
% 53.17/7.77      $i(v0) |  ? [v6: int] :  ? [v7: any] :  ? [v8: any] : (( ~ (v6 = 0) &
% 53.17/7.77          relation(v1) = v6) | (in(v5, v2) = v6 & in(v5, v1) = v8 & in(v4, v0) =
% 53.17/7.77          v7 & ( ~ (v6 = 0) | (v8 = 0 & v7 = 0))))) &  ! [v0: $i] :  ! [v1: $i] : 
% 53.17/7.77    ! [v2: $i] :  ! [v3: $i] : (v3 = v2 |  ~ (relation_rng_restriction(v0, v1) =
% 53.17/7.77        v2) |  ~ (relation(v3) = 0) |  ~ $i(v3) |  ~ $i(v1) |  ~ $i(v0) |  ? [v4:
% 53.17/7.77        int] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: any] :  ? [v9:
% 53.17/7.77        any] :  ? [v10: any] : ($i(v6) & $i(v5) & (( ~ (v4 = 0) & relation(v1) =
% 53.17/7.77            v4) | (ordered_pair(v5, v6) = v7 & in(v7, v3) = v8 & in(v7, v1) = v10
% 53.17/7.77            & in(v6, v0) = v9 & $i(v7) & ( ~ (v10 = 0) |  ~ (v9 = 0) |  ~ (v8 =
% 53.17/7.77                0)) & (v8 = 0 | (v10 = 0 & v9 = 0))))))
% 53.17/7.77  
% 53.17/7.77    (d2_relat_1)
% 53.17/7.78     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : ( ~ (ordered_pair(v1,
% 53.17/7.78          v2) = v3) |  ~ (relation(v0) = 0) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) | 
% 53.17/7.78      ? [v4: any] :  ? [v5: any] : (in(v3, v0) = v5 & in(v3, v0) = v4 & ( ~ (v4 =
% 53.17/7.78            0) | v5 = 0))) &  ! [v0: $i] :  ! [v1: $i] : (v1 = v0 |  ~
% 53.17/7.78      (relation(v1) = 0) |  ~ (relation(v0) = 0) |  ~ $i(v1) |  ~ $i(v0) |  ? [v2:
% 53.17/7.78        $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5: any] :  ? [v6: any] :
% 53.17/7.78      (ordered_pair(v2, v3) = v4 & in(v4, v1) = v6 & in(v4, v0) = v5 & $i(v4) &
% 53.17/7.78        $i(v3) & $i(v2) & ( ~ (v6 = 0) |  ~ (v5 = 0)) & (v6 = 0 | v5 = 0)))
% 53.17/7.78  
% 53.17/7.78    (dt_k7_relat_1)
% 53.17/7.78     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (relation_dom_restriction(v0,
% 53.17/7.78          v1) = v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :
% 53.17/7.78      (relation(v2) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 53.17/7.78  
% 53.17/7.78    (dt_k8_relat_1)
% 53.17/7.78     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (relation_rng_restriction(v0,
% 53.17/7.78          v1) = v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :
% 53.17/7.78      (relation(v2) = v4 & relation(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 53.17/7.78  
% 53.17/7.78    (t140_relat_1)
% 53.17/7.78     ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5:
% 53.17/7.78      $i] :  ? [v6: $i] : ( ~ (v6 = v4) & relation_rng_restriction(v0, v5) = v6 &
% 53.17/7.78      relation_rng_restriction(v0, v2) = v3 & relation_dom_restriction(v3, v1) =
% 53.17/7.78      v4 & relation_dom_restriction(v2, v1) = v5 & relation(v2) = 0 & $i(v6) &
% 53.17/7.78      $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 53.17/7.78  
% 53.17/7.78    (function-axioms)
% 53.17/7.78     ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  !
% 53.17/7.78    [v3: $i] : (v1 = v0 |  ~ (element(v3, v2) = v1) |  ~ (element(v3, v2) = v0)) &
% 53.17/7.78     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 53.17/7.78      (relation_rng_restriction(v3, v2) = v1) |  ~ (relation_rng_restriction(v3,
% 53.17/7.78          v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1
% 53.17/7.78      = v0 |  ~ (relation_dom_restriction(v3, v2) = v1) |  ~
% 53.17/7.78      (relation_dom_restriction(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  !
% 53.17/7.78    [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (ordered_pair(v3, v2) = v1) |  ~
% 53.17/7.78      (ordered_pair(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  !
% 53.17/7.78    [v3: $i] : (v1 = v0 |  ~ (unordered_pair(v3, v2) = v1) |  ~
% 53.17/7.78      (unordered_pair(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 53.17/7.78      MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (in(v3, v2) =
% 53.17/7.78        v1) |  ~ (in(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :
% 53.17/7.78    (v1 = v0 |  ~ (singleton(v2) = v1) |  ~ (singleton(v2) = v0)) &  ! [v0:
% 53.17/7.78      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 53.17/7.78      ~ (relation(v2) = v1) |  ~ (relation(v2) = v0)) &  ! [v0: MultipleValueBool]
% 53.17/7.78    :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (empty(v2) = v1) | 
% 53.17/7.78      ~ (empty(v2) = v0))
% 53.17/7.78  
% 53.17/7.78  Further assumptions not needed in the proof:
% 53.17/7.78  --------------------------------------------
% 53.17/7.78  antisymmetry_r2_hidden, cc1_relat_1, commutativity_k2_tarski, d5_tarski,
% 53.17/7.78  dt_k1_tarski, dt_k1_xboole_0, dt_k2_tarski, dt_k4_tarski, dt_m1_subset_1,
% 53.17/7.78  existence_m1_subset_1, fc1_xboole_0, fc1_zfmisc_1, fc2_subset_1, fc3_subset_1,
% 53.17/7.78  fc4_relat_1, rc1_relat_1, rc1_xboole_0, rc2_relat_1, rc2_xboole_0, t1_subset,
% 53.17/7.78  t2_subset, t6_boole, t7_boole, t8_boole
% 53.17/7.78  
% 53.17/7.78  Those formulas are unsatisfiable:
% 53.17/7.78  ---------------------------------
% 53.17/7.78  
% 53.17/7.78  Begin of proof
% 53.41/7.79  | 
% 53.41/7.79  | ALPHA: (d11_relat_1) implies:
% 53.41/7.79  |   (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : 
% 53.41/7.79  |        ! [v5: $i] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ~
% 53.41/7.79  |          (ordered_pair(v3, v4) = v5) |  ~ (relation(v2) = 0) |  ~
% 53.41/7.79  |          (relation(v0) = 0) |  ~ $i(v4) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) | 
% 53.41/7.79  |          ~ $i(v0) |  ? [v6: any] :  ? [v7: any] :  ? [v8: any] : (in(v5, v2) =
% 53.41/7.79  |            v6 & in(v5, v0) = v8 & in(v3, v1) = v7 & ( ~ (v6 = 0) | (v8 = 0 &
% 53.41/7.79  |                v7 = 0))))
% 53.41/7.79  |   (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : 
% 53.41/7.79  |        ! [v5: $i] : ( ~ (relation_dom_restriction(v0, v1) = v2) |  ~
% 53.41/7.79  |          (ordered_pair(v3, v4) = v5) |  ~ (relation(v2) = 0) |  ~
% 53.41/7.79  |          (relation(v0) = 0) |  ~ $i(v4) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) | 
% 53.41/7.79  |          ~ $i(v0) |  ? [v6: any] :  ? [v7: any] :  ? [v8: any] : (in(v5, v2) =
% 53.41/7.79  |            v8 & in(v5, v0) = v7 & in(v3, v1) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0)
% 53.41/7.79  |              | v8 = 0)))
% 53.41/7.79  | 
% 53.41/7.79  | ALPHA: (d12_relat_1) implies:
% 53.41/7.79  |   (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v3 = v2 |  ~
% 53.41/7.79  |          (relation_rng_restriction(v0, v1) = v2) |  ~ (relation(v3) = 0) |  ~
% 53.41/7.79  |          $i(v3) |  ~ $i(v1) |  ~ $i(v0) |  ? [v4: int] :  ? [v5: $i] :  ? [v6:
% 53.41/7.79  |            $i] :  ? [v7: $i] :  ? [v8: any] :  ? [v9: any] :  ? [v10: any] :
% 53.41/7.79  |          ($i(v6) & $i(v5) & (( ~ (v4 = 0) & relation(v1) = v4) |
% 53.41/7.79  |              (ordered_pair(v5, v6) = v7 & in(v7, v3) = v8 & in(v7, v1) = v10 &
% 53.41/7.79  |                in(v6, v0) = v9 & $i(v7) & ( ~ (v10 = 0) |  ~ (v9 = 0) |  ~ (v8
% 53.41/7.79  |                    = 0)) & (v8 = 0 | (v10 = 0 & v9 = 0))))))
% 53.41/7.79  |   (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : 
% 53.41/7.79  |        ! [v5: $i] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~
% 53.41/7.79  |          (ordered_pair(v3, v4) = v5) |  ~ (relation(v2) = 0) |  ~ $i(v4) |  ~
% 53.41/7.79  |          $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v6: int] :  ? [v7:
% 53.41/7.79  |            any] :  ? [v8: any] : (( ~ (v6 = 0) & relation(v1) = v6) | (in(v5,
% 53.41/7.79  |                v2) = v6 & in(v5, v1) = v8 & in(v4, v0) = v7 & ( ~ (v6 = 0) |
% 53.41/7.79  |                (v8 = 0 & v7 = 0)))))
% 53.41/7.80  |   (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : 
% 53.41/7.80  |        ! [v5: $i] : ( ~ (relation_rng_restriction(v0, v1) = v2) |  ~
% 53.41/7.80  |          (ordered_pair(v3, v4) = v5) |  ~ (relation(v2) = 0) |  ~ $i(v4) |  ~
% 53.41/7.80  |          $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v6: int] :  ? [v7:
% 53.41/7.80  |            any] :  ? [v8: any] : (( ~ (v6 = 0) & relation(v1) = v6) | (in(v5,
% 53.41/7.80  |                v2) = v8 & in(v5, v1) = v7 & in(v4, v0) = v6 & ( ~ (v7 = 0) | 
% 53.41/7.80  |                ~ (v6 = 0) | v8 = 0))))
% 53.41/7.80  | 
% 53.41/7.80  | ALPHA: (d2_relat_1) implies:
% 53.41/7.80  |   (6)   ! [v0: $i] :  ! [v1: $i] : (v1 = v0 |  ~ (relation(v1) = 0) |  ~
% 53.41/7.80  |          (relation(v0) = 0) |  ~ $i(v1) |  ~ $i(v0) |  ? [v2: $i] :  ? [v3:
% 53.41/7.80  |            $i] :  ? [v4: $i] :  ? [v5: any] :  ? [v6: any] : (ordered_pair(v2,
% 53.41/7.80  |              v3) = v4 & in(v4, v1) = v6 & in(v4, v0) = v5 & $i(v4) & $i(v3) &
% 53.41/7.80  |            $i(v2) & ( ~ (v6 = 0) |  ~ (v5 = 0)) & (v6 = 0 | v5 = 0)))
% 53.41/7.80  |   (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : ( ~
% 53.41/7.80  |          (ordered_pair(v1, v2) = v3) |  ~ (relation(v0) = 0) |  ~ $i(v2) |  ~
% 53.41/7.80  |          $i(v1) |  ~ $i(v0) |  ? [v4: any] :  ? [v5: any] : (in(v3, v0) = v5 &
% 53.41/7.80  |            in(v3, v0) = v4 & ( ~ (v4 = 0) | v5 = 0)))
% 53.41/7.80  | 
% 53.41/7.80  | ALPHA: (function-axioms) implies:
% 53.41/7.80  |   (8)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :
% 53.41/7.80  |        (v1 = v0 |  ~ (relation(v2) = v1) |  ~ (relation(v2) = v0))
% 53.41/7.80  |   (9)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :
% 53.41/7.80  |         ! [v3: $i] : (v1 = v0 |  ~ (in(v3, v2) = v1) |  ~ (in(v3, v2) = v0))
% 53.41/7.80  | 
% 53.41/7.80  | DELTA: instantiating (t140_relat_1) with fresh symbols all_30_0, all_30_1,
% 53.41/7.80  |        all_30_2, all_30_3, all_30_4, all_30_5, all_30_6 gives:
% 53.41/7.80  |   (10)   ~ (all_30_0 = all_30_2) & relation_rng_restriction(all_30_6,
% 53.41/7.80  |           all_30_1) = all_30_0 & relation_rng_restriction(all_30_6, all_30_4)
% 53.41/7.80  |         = all_30_3 & relation_dom_restriction(all_30_3, all_30_5) = all_30_2 &
% 53.41/7.80  |         relation_dom_restriction(all_30_4, all_30_5) = all_30_1 &
% 53.41/7.80  |         relation(all_30_4) = 0 & $i(all_30_0) & $i(all_30_1) & $i(all_30_2) &
% 53.41/7.80  |         $i(all_30_3) & $i(all_30_4) & $i(all_30_5) & $i(all_30_6)
% 53.41/7.80  | 
% 53.41/7.80  | ALPHA: (10) implies:
% 53.41/7.80  |   (11)   ~ (all_30_0 = all_30_2)
% 53.41/7.80  |   (12)  $i(all_30_6)
% 53.41/7.80  |   (13)  $i(all_30_5)
% 53.41/7.80  |   (14)  $i(all_30_4)
% 53.41/7.80  |   (15)  $i(all_30_3)
% 53.41/7.80  |   (16)  $i(all_30_2)
% 53.41/7.80  |   (17)  $i(all_30_1)
% 53.41/7.80  |   (18)  $i(all_30_0)
% 53.41/7.80  |   (19)  relation(all_30_4) = 0
% 53.41/7.80  |   (20)  relation_dom_restriction(all_30_4, all_30_5) = all_30_1
% 53.41/7.80  |   (21)  relation_dom_restriction(all_30_3, all_30_5) = all_30_2
% 53.41/7.80  |   (22)  relation_rng_restriction(all_30_6, all_30_4) = all_30_3
% 53.41/7.80  |   (23)  relation_rng_restriction(all_30_6, all_30_1) = all_30_0
% 53.41/7.80  | 
% 53.41/7.80  | GROUND_INST: instantiating (dt_k7_relat_1) with all_30_4, all_30_5, all_30_1,
% 53.41/7.80  |              simplifying with (13), (14), (20) gives:
% 53.41/7.81  |   (24)   ? [v0: any] :  ? [v1: any] : (relation(all_30_1) = v1 &
% 53.41/7.81  |           relation(all_30_4) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 53.41/7.81  | 
% 53.41/7.81  | GROUND_INST: instantiating (dt_k7_relat_1) with all_30_3, all_30_5, all_30_2,
% 53.41/7.81  |              simplifying with (13), (15), (21) gives:
% 53.41/7.81  |   (25)   ? [v0: any] :  ? [v1: any] : (relation(all_30_2) = v1 &
% 53.41/7.81  |           relation(all_30_3) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 53.41/7.81  | 
% 53.41/7.81  | GROUND_INST: instantiating (dt_k8_relat_1) with all_30_6, all_30_4, all_30_3,
% 53.41/7.81  |              simplifying with (12), (14), (22) gives:
% 53.41/7.81  |   (26)   ? [v0: any] :  ? [v1: any] : (relation(all_30_3) = v1 &
% 53.41/7.81  |           relation(all_30_4) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 53.41/7.81  | 
% 53.41/7.81  | GROUND_INST: instantiating (dt_k8_relat_1) with all_30_6, all_30_1, all_30_0,
% 53.41/7.81  |              simplifying with (12), (17), (23) gives:
% 53.41/7.81  |   (27)   ? [v0: any] :  ? [v1: any] : (relation(all_30_0) = v1 &
% 53.41/7.81  |           relation(all_30_1) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 53.41/7.81  | 
% 53.41/7.81  | DELTA: instantiating (26) with fresh symbols all_38_0, all_38_1 gives:
% 53.41/7.81  |   (28)  relation(all_30_3) = all_38_0 & relation(all_30_4) = all_38_1 & ( ~
% 53.41/7.81  |           (all_38_1 = 0) | all_38_0 = 0)
% 53.41/7.81  | 
% 53.41/7.81  | ALPHA: (28) implies:
% 53.41/7.81  |   (29)  relation(all_30_4) = all_38_1
% 53.41/7.81  |   (30)  relation(all_30_3) = all_38_0
% 53.41/7.81  |   (31)   ~ (all_38_1 = 0) | all_38_0 = 0
% 53.41/7.81  | 
% 53.41/7.81  | DELTA: instantiating (27) with fresh symbols all_40_0, all_40_1 gives:
% 53.41/7.81  |   (32)  relation(all_30_0) = all_40_0 & relation(all_30_1) = all_40_1 & ( ~
% 53.41/7.81  |           (all_40_1 = 0) | all_40_0 = 0)
% 53.41/7.81  | 
% 53.41/7.81  | ALPHA: (32) implies:
% 53.41/7.81  |   (33)  relation(all_30_1) = all_40_1
% 53.41/7.81  |   (34)  relation(all_30_0) = all_40_0
% 53.41/7.81  |   (35)   ~ (all_40_1 = 0) | all_40_0 = 0
% 53.41/7.81  | 
% 53.41/7.81  | DELTA: instantiating (25) with fresh symbols all_42_0, all_42_1 gives:
% 53.41/7.81  |   (36)  relation(all_30_2) = all_42_0 & relation(all_30_3) = all_42_1 & ( ~
% 53.41/7.81  |           (all_42_1 = 0) | all_42_0 = 0)
% 53.41/7.81  | 
% 53.41/7.81  | ALPHA: (36) implies:
% 53.41/7.81  |   (37)  relation(all_30_3) = all_42_1
% 53.41/7.81  |   (38)  relation(all_30_2) = all_42_0
% 53.41/7.81  |   (39)   ~ (all_42_1 = 0) | all_42_0 = 0
% 53.41/7.81  | 
% 53.41/7.81  | DELTA: instantiating (24) with fresh symbols all_44_0, all_44_1 gives:
% 53.41/7.81  |   (40)  relation(all_30_1) = all_44_0 & relation(all_30_4) = all_44_1 & ( ~
% 53.41/7.81  |           (all_44_1 = 0) | all_44_0 = 0)
% 53.41/7.81  | 
% 53.41/7.81  | ALPHA: (40) implies:
% 53.41/7.81  |   (41)  relation(all_30_4) = all_44_1
% 53.41/7.81  |   (42)  relation(all_30_1) = all_44_0
% 53.41/7.81  |   (43)   ~ (all_44_1 = 0) | all_44_0 = 0
% 53.41/7.81  | 
% 53.41/7.81  | GROUND_INST: instantiating (8) with 0, all_44_1, all_30_4, simplifying with
% 53.41/7.81  |              (19), (41) gives:
% 53.41/7.81  |   (44)  all_44_1 = 0
% 53.41/7.81  | 
% 53.41/7.81  | GROUND_INST: instantiating (8) with all_38_1, all_44_1, all_30_4, simplifying
% 53.41/7.81  |              with (29), (41) gives:
% 53.41/7.81  |   (45)  all_44_1 = all_38_1
% 53.41/7.81  | 
% 53.41/7.81  | GROUND_INST: instantiating (8) with all_38_0, all_42_1, all_30_3, simplifying
% 53.41/7.81  |              with (30), (37) gives:
% 53.41/7.81  |   (46)  all_42_1 = all_38_0
% 53.41/7.81  | 
% 53.41/7.81  | GROUND_INST: instantiating (8) with all_40_1, all_44_0, all_30_1, simplifying
% 53.41/7.81  |              with (33), (42) gives:
% 53.41/7.81  |   (47)  all_44_0 = all_40_1
% 53.41/7.81  | 
% 53.41/7.81  | COMBINE_EQS: (44), (45) imply:
% 53.41/7.81  |   (48)  all_38_1 = 0
% 53.41/7.81  | 
% 53.41/7.82  | BETA: splitting (31) gives:
% 53.41/7.82  | 
% 53.41/7.82  | Case 1:
% 53.41/7.82  | | 
% 53.41/7.82  | |   (49)   ~ (all_38_1 = 0)
% 53.41/7.82  | | 
% 53.41/7.82  | | REDUCE: (48), (49) imply:
% 53.41/7.82  | |   (50)  $false
% 53.41/7.82  | | 
% 53.41/7.82  | | CLOSE: (50) is inconsistent.
% 53.41/7.82  | | 
% 53.41/7.82  | Case 2:
% 53.41/7.82  | | 
% 53.41/7.82  | |   (51)  all_38_0 = 0
% 53.41/7.82  | | 
% 53.41/7.82  | | COMBINE_EQS: (46), (51) imply:
% 53.41/7.82  | |   (52)  all_42_1 = 0
% 53.41/7.82  | | 
% 53.41/7.82  | | REDUCE: (30), (51) imply:
% 53.41/7.82  | |   (53)  relation(all_30_3) = 0
% 53.41/7.82  | | 
% 53.41/7.82  | | BETA: splitting (43) gives:
% 53.41/7.82  | | 
% 53.41/7.82  | | Case 1:
% 53.41/7.82  | | | 
% 53.41/7.82  | | |   (54)   ~ (all_44_1 = 0)
% 53.41/7.82  | | | 
% 53.41/7.82  | | | REDUCE: (44), (54) imply:
% 53.41/7.82  | | |   (55)  $false
% 53.41/7.82  | | | 
% 53.41/7.82  | | | CLOSE: (55) is inconsistent.
% 53.41/7.82  | | | 
% 53.41/7.82  | | Case 2:
% 53.41/7.82  | | | 
% 53.41/7.82  | | |   (56)  all_44_0 = 0
% 53.41/7.82  | | | 
% 53.41/7.82  | | | COMBINE_EQS: (47), (56) imply:
% 53.41/7.82  | | |   (57)  all_40_1 = 0
% 53.41/7.82  | | | 
% 53.41/7.82  | | | REDUCE: (33), (57) imply:
% 53.41/7.82  | | |   (58)  relation(all_30_1) = 0
% 53.41/7.82  | | | 
% 53.41/7.82  | | | BETA: splitting (35) gives:
% 53.41/7.82  | | | 
% 53.41/7.82  | | | Case 1:
% 53.41/7.82  | | | | 
% 53.41/7.82  | | | |   (59)   ~ (all_40_1 = 0)
% 53.41/7.82  | | | | 
% 53.41/7.82  | | | | REDUCE: (57), (59) imply:
% 53.41/7.82  | | | |   (60)  $false
% 53.41/7.82  | | | | 
% 53.41/7.82  | | | | CLOSE: (60) is inconsistent.
% 53.41/7.82  | | | | 
% 53.41/7.82  | | | Case 2:
% 53.41/7.82  | | | | 
% 53.41/7.82  | | | |   (61)  all_40_0 = 0
% 53.41/7.82  | | | | 
% 53.41/7.82  | | | | REDUCE: (34), (61) imply:
% 53.41/7.82  | | | |   (62)  relation(all_30_0) = 0
% 53.41/7.82  | | | | 
% 53.41/7.82  | | | | BETA: splitting (39) gives:
% 53.41/7.82  | | | | 
% 53.41/7.82  | | | | Case 1:
% 53.41/7.82  | | | | | 
% 53.41/7.82  | | | | |   (63)   ~ (all_42_1 = 0)
% 53.41/7.82  | | | | | 
% 53.41/7.82  | | | | | REDUCE: (52), (63) imply:
% 53.41/7.82  | | | | |   (64)  $false
% 53.41/7.82  | | | | | 
% 53.41/7.82  | | | | | CLOSE: (64) is inconsistent.
% 53.41/7.82  | | | | | 
% 53.41/7.82  | | | | Case 2:
% 53.41/7.82  | | | | | 
% 53.41/7.82  | | | | |   (65)  all_42_0 = 0
% 53.41/7.82  | | | | | 
% 53.41/7.82  | | | | | REDUCE: (38), (65) imply:
% 53.41/7.82  | | | | |   (66)  relation(all_30_2) = 0
% 53.41/7.82  | | | | | 
% 53.41/7.82  | | | | | GROUND_INST: instantiating (3) with all_30_6, all_30_1, all_30_0,
% 53.41/7.82  | | | | |              all_30_2, simplifying with (12), (16), (17), (23), (66)
% 53.41/7.82  | | | | |              gives:
% 53.41/7.82  | | | | |   (67)  all_30_0 = all_30_2 |  ? [v0: int] :  ? [v1: $i] :  ? [v2: $i]
% 53.41/7.82  | | | | |         :  ? [v3: $i] :  ? [v4: any] :  ? [v5: any] :  ? [v6: any] :
% 53.41/7.82  | | | | |         ($i(v2) & $i(v1) & (( ~ (v0 = 0) & relation(all_30_1) = v0) |
% 53.41/7.82  | | | | |             (ordered_pair(v1, v2) = v3 & in(v3, all_30_1) = v6 &
% 53.41/7.82  | | | | |               in(v3, all_30_2) = v4 & in(v2, all_30_6) = v5 & $i(v3) &
% 53.41/7.82  | | | | |               ( ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0)) & (v4 = 0 |
% 53.41/7.82  | | | | |                 (v6 = 0 & v5 = 0)))))
% 53.41/7.82  | | | | | 
% 53.41/7.82  | | | | | GROUND_INST: instantiating (6) with all_30_2, all_30_0, simplifying
% 53.41/7.82  | | | | |              with (16), (18), (62), (66) gives:
% 53.41/7.82  | | | | |   (68)  all_30_0 = all_30_2 |  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i]
% 53.41/7.82  | | | | |         :  ? [v3: any] :  ? [v4: any] : (ordered_pair(v0, v1) = v2 &
% 53.41/7.82  | | | | |           in(v2, all_30_0) = v4 & in(v2, all_30_2) = v3 & $i(v2) &
% 53.41/7.82  | | | | |           $i(v1) & $i(v0) & ( ~ (v4 = 0) |  ~ (v3 = 0)) & (v4 = 0 | v3
% 53.41/7.82  | | | | |             = 0))
% 53.41/7.82  | | | | | 
% 53.41/7.82  | | | | | BETA: splitting (68) gives:
% 53.41/7.82  | | | | | 
% 53.41/7.82  | | | | | Case 1:
% 53.41/7.82  | | | | | | 
% 53.41/7.82  | | | | | |   (69)  all_30_0 = all_30_2
% 53.41/7.82  | | | | | | 
% 53.41/7.82  | | | | | | REDUCE: (11), (69) imply:
% 53.41/7.82  | | | | | |   (70)  $false
% 53.41/7.82  | | | | | | 
% 53.41/7.82  | | | | | | CLOSE: (70) is inconsistent.
% 53.41/7.82  | | | | | | 
% 53.41/7.82  | | | | | Case 2:
% 53.41/7.82  | | | | | | 
% 53.41/7.83  | | | | | |   (71)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: any] :  ?
% 53.41/7.83  | | | | | |         [v4: any] : (ordered_pair(v0, v1) = v2 & in(v2, all_30_0) =
% 53.41/7.83  | | | | | |           v4 & in(v2, all_30_2) = v3 & $i(v2) & $i(v1) & $i(v0) & (
% 53.41/7.83  | | | | | |             ~ (v4 = 0) |  ~ (v3 = 0)) & (v4 = 0 | v3 = 0))
% 53.41/7.83  | | | | | | 
% 53.41/7.83  | | | | | | DELTA: instantiating (71) with fresh symbols all_79_0, all_79_1,
% 53.41/7.83  | | | | | |        all_79_2, all_79_3, all_79_4 gives:
% 53.41/7.83  | | | | | |   (72)  ordered_pair(all_79_4, all_79_3) = all_79_2 & in(all_79_2,
% 53.41/7.83  | | | | | |           all_30_0) = all_79_0 & in(all_79_2, all_30_2) = all_79_1 &
% 53.41/7.83  | | | | | |         $i(all_79_2) & $i(all_79_3) & $i(all_79_4) & ( ~ (all_79_0 =
% 53.41/7.83  | | | | | |             0) |  ~ (all_79_1 = 0)) & (all_79_0 = 0 | all_79_1 = 0)
% 53.41/7.83  | | | | | | 
% 53.41/7.83  | | | | | | ALPHA: (72) implies:
% 53.41/7.83  | | | | | |   (73)  $i(all_79_4)
% 53.41/7.83  | | | | | |   (74)  $i(all_79_3)
% 53.41/7.83  | | | | | |   (75)  in(all_79_2, all_30_2) = all_79_1
% 53.41/7.83  | | | | | |   (76)  in(all_79_2, all_30_0) = all_79_0
% 53.41/7.83  | | | | | |   (77)  ordered_pair(all_79_4, all_79_3) = all_79_2
% 53.41/7.83  | | | | | |   (78)  all_79_0 = 0 | all_79_1 = 0
% 53.41/7.83  | | | | | |   (79)   ~ (all_79_0 = 0) |  ~ (all_79_1 = 0)
% 53.41/7.83  | | | | | | 
% 53.41/7.83  | | | | | | BETA: splitting (67) gives:
% 53.41/7.83  | | | | | | 
% 53.41/7.83  | | | | | | Case 1:
% 53.41/7.83  | | | | | | | 
% 53.41/7.83  | | | | | | |   (80)  all_30_0 = all_30_2
% 53.41/7.83  | | | | | | | 
% 53.41/7.83  | | | | | | | REDUCE: (11), (80) imply:
% 53.41/7.83  | | | | | | |   (81)  $false
% 53.41/7.83  | | | | | | | 
% 53.41/7.83  | | | | | | | CLOSE: (81) is inconsistent.
% 53.41/7.83  | | | | | | | 
% 53.41/7.83  | | | | | | Case 2:
% 53.41/7.83  | | | | | | | 
% 53.41/7.83  | | | | | | |   (82)   ? [v0: int] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] : 
% 53.41/7.83  | | | | | | |         ? [v4: any] :  ? [v5: any] :  ? [v6: any] : ($i(v2) &
% 53.41/7.83  | | | | | | |           $i(v1) & (( ~ (v0 = 0) & relation(all_30_1) = v0) |
% 53.41/7.83  | | | | | | |             (ordered_pair(v1, v2) = v3 & in(v3, all_30_1) = v6 &
% 53.41/7.83  | | | | | | |               in(v3, all_30_2) = v4 & in(v2, all_30_6) = v5 &
% 53.41/7.83  | | | | | | |               $i(v3) & ( ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0)) &
% 53.41/7.83  | | | | | | |               (v4 = 0 | (v6 = 0 & v5 = 0)))))
% 53.41/7.83  | | | | | | | 
% 53.41/7.83  | | | | | | | DELTA: instantiating (82) with fresh symbols all_89_0, all_89_1,
% 53.41/7.83  | | | | | | |        all_89_2, all_89_3, all_89_4, all_89_5, all_89_6 gives:
% 53.41/7.83  | | | | | | |   (83)  $i(all_89_4) & $i(all_89_5) & (( ~ (all_89_6 = 0) &
% 53.41/7.83  | | | | | | |             relation(all_30_1) = all_89_6) |
% 53.41/7.83  | | | | | | |           (ordered_pair(all_89_5, all_89_4) = all_89_3 &
% 53.41/7.83  | | | | | | |             in(all_89_3, all_30_1) = all_89_0 & in(all_89_3,
% 53.41/7.83  | | | | | | |               all_30_2) = all_89_2 & in(all_89_4, all_30_6) =
% 53.41/7.83  | | | | | | |             all_89_1 & $i(all_89_3) & ( ~ (all_89_0 = 0) |  ~
% 53.41/7.83  | | | | | | |               (all_89_1 = 0) |  ~ (all_89_2 = 0)) & (all_89_2 = 0
% 53.41/7.83  | | | | | | |               | (all_89_0 = 0 & all_89_1 = 0))))
% 53.41/7.83  | | | | | | | 
% 53.41/7.83  | | | | | | | ALPHA: (83) implies:
% 53.41/7.83  | | | | | | |   (84)  $i(all_89_5)
% 53.41/7.83  | | | | | | |   (85)  $i(all_89_4)
% 53.41/7.83  | | | | | | |   (86)  ( ~ (all_89_6 = 0) & relation(all_30_1) = all_89_6) |
% 53.41/7.83  | | | | | | |         (ordered_pair(all_89_5, all_89_4) = all_89_3 &
% 53.41/7.83  | | | | | | |           in(all_89_3, all_30_1) = all_89_0 & in(all_89_3,
% 53.41/7.83  | | | | | | |             all_30_2) = all_89_2 & in(all_89_4, all_30_6) =
% 53.41/7.83  | | | | | | |           all_89_1 & $i(all_89_3) & ( ~ (all_89_0 = 0) |  ~
% 53.41/7.83  | | | | | | |             (all_89_1 = 0) |  ~ (all_89_2 = 0)) & (all_89_2 = 0 |
% 53.41/7.83  | | | | | | |             (all_89_0 = 0 & all_89_1 = 0)))
% 53.41/7.83  | | | | | | | 
% 53.41/7.83  | | | | | | | BETA: splitting (86) gives:
% 53.41/7.83  | | | | | | | 
% 53.41/7.83  | | | | | | | Case 1:
% 53.41/7.83  | | | | | | | | 
% 53.41/7.83  | | | | | | | |   (87)   ~ (all_89_6 = 0) & relation(all_30_1) = all_89_6
% 53.41/7.83  | | | | | | | | 
% 53.41/7.83  | | | | | | | | ALPHA: (87) implies:
% 53.41/7.83  | | | | | | | |   (88)   ~ (all_89_6 = 0)
% 53.41/7.83  | | | | | | | |   (89)  relation(all_30_1) = all_89_6
% 53.41/7.83  | | | | | | | | 
% 53.41/7.83  | | | | | | | | GROUND_INST: instantiating (8) with 0, all_89_6, all_30_1,
% 53.41/7.83  | | | | | | | |              simplifying with (58), (89) gives:
% 53.41/7.83  | | | | | | | |   (90)  all_89_6 = 0
% 53.41/7.83  | | | | | | | | 
% 53.41/7.83  | | | | | | | | REDUCE: (88), (90) imply:
% 53.41/7.83  | | | | | | | |   (91)  $false
% 53.41/7.83  | | | | | | | | 
% 53.41/7.83  | | | | | | | | CLOSE: (91) is inconsistent.
% 53.41/7.83  | | | | | | | | 
% 53.41/7.83  | | | | | | | Case 2:
% 53.41/7.83  | | | | | | | | 
% 53.41/7.83  | | | | | | | |   (92)  ordered_pair(all_89_5, all_89_4) = all_89_3 &
% 53.41/7.83  | | | | | | | |         in(all_89_3, all_30_1) = all_89_0 & in(all_89_3,
% 53.41/7.83  | | | | | | | |           all_30_2) = all_89_2 & in(all_89_4, all_30_6) =
% 53.41/7.83  | | | | | | | |         all_89_1 & $i(all_89_3) & ( ~ (all_89_0 = 0) |  ~
% 53.41/7.83  | | | | | | | |           (all_89_1 = 0) |  ~ (all_89_2 = 0)) & (all_89_2 = 0 |
% 53.41/7.83  | | | | | | | |           (all_89_0 = 0 & all_89_1 = 0))
% 53.41/7.83  | | | | | | | | 
% 53.41/7.83  | | | | | | | | ALPHA: (92) implies:
% 53.41/7.83  | | | | | | | |   (93)  ordered_pair(all_89_5, all_89_4) = all_89_3
% 53.41/7.83  | | | | | | | | 
% 53.41/7.84  | | | | | | | | GROUND_INST: instantiating (5) with all_30_6, all_30_1,
% 53.41/7.84  | | | | | | | |              all_30_0, all_79_4, all_79_3, all_79_2, simplifying
% 53.41/7.84  | | | | | | | |              with (12), (17), (18), (23), (62), (73), (74), (77)
% 53.41/7.84  | | | | | | | |              gives:
% 53.41/7.84  | | | | | | | |   (94)   ? [v0: int] :  ? [v1: any] :  ? [v2: any] : (( ~ (v0 =
% 53.41/7.84  | | | | | | | |               0) & relation(all_30_1) = v0) | (in(all_79_2,
% 53.41/7.84  | | | | | | | |               all_30_0) = v2 & in(all_79_2, all_30_1) = v1 &
% 53.41/7.84  | | | | | | | |             in(all_79_3, all_30_6) = v0 & ( ~ (v1 = 0) |  ~ (v0
% 53.41/7.84  | | | | | | | |                 = 0) | v2 = 0)))
% 53.41/7.84  | | | | | | | | 
% 53.41/7.84  | | | | | | | | GROUND_INST: instantiating (4) with all_30_6, all_30_1,
% 53.41/7.84  | | | | | | | |              all_30_0, all_79_4, all_79_3, all_79_2, simplifying
% 53.41/7.84  | | | | | | | |              with (12), (17), (18), (23), (62), (73), (74), (77)
% 53.41/7.84  | | | | | | | |              gives:
% 53.41/7.84  | | | | | | | |   (95)   ? [v0: int] :  ? [v1: any] :  ? [v2: any] : (( ~ (v0 =
% 53.41/7.84  | | | | | | | |               0) & relation(all_30_1) = v0) | (in(all_79_2,
% 53.41/7.84  | | | | | | | |               all_30_0) = v0 & in(all_79_2, all_30_1) = v2 &
% 53.41/7.84  | | | | | | | |             in(all_79_3, all_30_6) = v1 & ( ~ (v0 = 0) | (v2 = 0
% 53.41/7.84  | | | | | | | |                 & v1 = 0))))
% 53.41/7.84  | | | | | | | | 
% 53.41/7.84  | | | | | | | | GROUND_INST: instantiating (5) with all_30_6, all_30_4,
% 53.41/7.84  | | | | | | | |              all_30_3, all_79_4, all_79_3, all_79_2, simplifying
% 53.41/7.84  | | | | | | | |              with (12), (14), (15), (22), (53), (73), (74), (77)
% 53.41/7.84  | | | | | | | |              gives:
% 53.41/7.84  | | | | | | | |   (96)   ? [v0: int] :  ? [v1: any] :  ? [v2: any] : (( ~ (v0 =
% 53.41/7.84  | | | | | | | |               0) & relation(all_30_4) = v0) | (in(all_79_2,
% 53.41/7.84  | | | | | | | |               all_30_3) = v2 & in(all_79_2, all_30_4) = v1 &
% 53.41/7.84  | | | | | | | |             in(all_79_3, all_30_6) = v0 & ( ~ (v1 = 0) |  ~ (v0
% 53.41/7.84  | | | | | | | |                 = 0) | v2 = 0)))
% 53.41/7.84  | | | | | | | | 
% 53.41/7.84  | | | | | | | | GROUND_INST: instantiating (4) with all_30_6, all_30_4,
% 53.41/7.84  | | | | | | | |              all_30_3, all_79_4, all_79_3, all_79_2, simplifying
% 53.41/7.84  | | | | | | | |              with (12), (14), (15), (22), (53), (73), (74), (77)
% 53.41/7.84  | | | | | | | |              gives:
% 53.41/7.84  | | | | | | | |   (97)   ? [v0: int] :  ? [v1: any] :  ? [v2: any] : (( ~ (v0 =
% 53.41/7.84  | | | | | | | |               0) & relation(all_30_4) = v0) | (in(all_79_2,
% 53.41/7.84  | | | | | | | |               all_30_3) = v0 & in(all_79_2, all_30_4) = v2 &
% 53.41/7.84  | | | | | | | |             in(all_79_3, all_30_6) = v1 & ( ~ (v0 = 0) | (v2 = 0
% 53.41/7.84  | | | | | | | |                 & v1 = 0))))
% 53.41/7.84  | | | | | | | | 
% 53.41/7.84  | | | | | | | | GROUND_INST: instantiating (2) with all_30_3, all_30_5,
% 53.41/7.84  | | | | | | | |              all_30_2, all_79_4, all_79_3, all_79_2, simplifying
% 53.41/7.84  | | | | | | | |              with (13), (15), (16), (21), (53), (66), (73),
% 53.41/7.84  | | | | | | | |              (74), (77) gives:
% 53.41/7.84  | | | | | | | |   (98)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 53.41/7.84  | | | | | | | |         (in(all_79_2, all_30_2) = v2 & in(all_79_2, all_30_3) =
% 53.41/7.84  | | | | | | | |           v1 & in(all_79_4, all_30_5) = v0 & ( ~ (v1 = 0) |  ~
% 53.41/7.84  | | | | | | | |             (v0 = 0) | v2 = 0))
% 53.41/7.84  | | | | | | | | 
% 53.41/7.84  | | | | | | | | GROUND_INST: instantiating (1) with all_30_3, all_30_5,
% 53.41/7.84  | | | | | | | |              all_30_2, all_79_4, all_79_3, all_79_2, simplifying
% 53.41/7.84  | | | | | | | |              with (13), (15), (16), (21), (53), (66), (73),
% 53.41/7.84  | | | | | | | |              (74), (77) gives:
% 53.41/7.84  | | | | | | | |   (99)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 53.41/7.84  | | | | | | | |         (in(all_79_2, all_30_2) = v0 & in(all_79_2, all_30_3) =
% 53.41/7.84  | | | | | | | |           v2 & in(all_79_4, all_30_5) = v1 & ( ~ (v0 = 0) | (v2
% 53.41/7.84  | | | | | | | |               = 0 & v1 = 0)))
% 53.41/7.84  | | | | | | | | 
% 53.41/7.84  | | | | | | | | GROUND_INST: instantiating (2) with all_30_4, all_30_5,
% 53.41/7.84  | | | | | | | |              all_30_1, all_79_4, all_79_3, all_79_2, simplifying
% 53.41/7.84  | | | | | | | |              with (13), (14), (17), (19), (20), (58), (73),
% 53.41/7.84  | | | | | | | |              (74), (77) gives:
% 53.41/7.84  | | | | | | | |   (100)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 53.41/7.84  | | | | | | | |          (in(all_79_2, all_30_1) = v2 & in(all_79_2, all_30_4) =
% 53.41/7.84  | | | | | | | |            v1 & in(all_79_4, all_30_5) = v0 & ( ~ (v1 = 0) |  ~
% 53.41/7.85  | | | | | | | |              (v0 = 0) | v2 = 0))
% 53.41/7.85  | | | | | | | | 
% 53.41/7.85  | | | | | | | | GROUND_INST: instantiating (1) with all_30_4, all_30_5,
% 53.41/7.85  | | | | | | | |              all_30_1, all_79_4, all_79_3, all_79_2, simplifying
% 53.41/7.85  | | | | | | | |              with (13), (14), (17), (19), (20), (58), (73),
% 53.41/7.85  | | | | | | | |              (74), (77) gives:
% 53.41/7.85  | | | | | | | |   (101)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 53.41/7.85  | | | | | | | |          (in(all_79_2, all_30_1) = v0 & in(all_79_2, all_30_4) =
% 53.41/7.85  | | | | | | | |            v2 & in(all_79_4, all_30_5) = v1 & ( ~ (v0 = 0) | (v2
% 53.41/7.85  | | | | | | | |                = 0 & v1 = 0)))
% 53.41/7.85  | | | | | | | | 
% 53.41/7.85  | | | | | | | | GROUND_INST: instantiating (7) with all_30_1, all_79_4,
% 53.41/7.85  | | | | | | | |              all_79_3, all_79_2, simplifying with (17), (58),
% 53.41/7.85  | | | | | | | |              (73), (74), (77) gives:
% 53.41/7.85  | | | | | | | |   (102)   ? [v0: any] :  ? [v1: any] : (in(all_79_2, all_30_1) =
% 53.41/7.85  | | | | | | | |            v1 & in(all_79_2, all_30_1) = v0 & ( ~ (v0 = 0) | v1
% 53.41/7.85  | | | | | | | |              = 0))
% 53.41/7.85  | | | | | | | | 
% 53.41/7.85  | | | | | | | | GROUND_INST: instantiating (7) with all_30_3, all_79_4,
% 53.41/7.85  | | | | | | | |              all_79_3, all_79_2, simplifying with (15), (53),
% 53.41/7.85  | | | | | | | |              (73), (74), (77) gives:
% 53.71/7.85  | | | | | | | |   (103)   ? [v0: any] :  ? [v1: any] : (in(all_79_2, all_30_3) =
% 53.71/7.85  | | | | | | | |            v1 & in(all_79_2, all_30_3) = v0 & ( ~ (v0 = 0) | v1
% 53.71/7.85  | | | | | | | |              = 0))
% 53.71/7.85  | | | | | | | | 
% 53.71/7.85  | | | | | | | | GROUND_INST: instantiating (7) with all_30_4, all_79_4,
% 53.71/7.85  | | | | | | | |              all_79_3, all_79_2, simplifying with (14), (19),
% 53.71/7.85  | | | | | | | |              (73), (74), (77) gives:
% 53.71/7.85  | | | | | | | |   (104)   ? [v0: any] :  ? [v1: any] : (in(all_79_2, all_30_4) =
% 53.71/7.85  | | | | | | | |            v1 & in(all_79_2, all_30_4) = v0 & ( ~ (v0 = 0) | v1
% 53.71/7.85  | | | | | | | |              = 0))
% 53.71/7.85  | | | | | | | | 
% 53.71/7.85  | | | | | | | | GROUND_INST: instantiating (5) with all_30_6, all_30_1,
% 53.71/7.85  | | | | | | | |              all_30_0, all_89_5, all_89_4, all_89_3, simplifying
% 53.71/7.85  | | | | | | | |              with (12), (17), (18), (23), (62), (84), (85), (93)
% 53.71/7.85  | | | | | | | |              gives:
% 53.71/7.85  | | | | | | | |   (105)   ? [v0: int] :  ? [v1: any] :  ? [v2: any] : (( ~ (v0 =
% 53.71/7.85  | | | | | | | |                0) & relation(all_30_1) = v0) | (in(all_89_3,
% 53.71/7.85  | | | | | | | |                all_30_0) = v2 & in(all_89_3, all_30_1) = v1 &
% 53.71/7.85  | | | | | | | |              in(all_89_4, all_30_6) = v0 & ( ~ (v1 = 0) |  ~ (v0
% 53.71/7.85  | | | | | | | |                  = 0) | v2 = 0)))
% 53.71/7.85  | | | | | | | | 
% 53.71/7.85  | | | | | | | | DELTA: instantiating (104) with fresh symbols all_135_0,
% 53.71/7.85  | | | | | | | |        all_135_1 gives:
% 53.71/7.85  | | | | | | | |   (106)  in(all_79_2, all_30_4) = all_135_0 & in(all_79_2,
% 53.71/7.85  | | | | | | | |            all_30_4) = all_135_1 & ( ~ (all_135_1 = 0) |
% 53.71/7.85  | | | | | | | |            all_135_0 = 0)
% 53.71/7.85  | | | | | | | | 
% 53.71/7.85  | | | | | | | | ALPHA: (106) implies:
% 53.71/7.85  | | | | | | | |   (107)  in(all_79_2, all_30_4) = all_135_1
% 53.71/7.85  | | | | | | | | 
% 53.71/7.85  | | | | | | | | DELTA: instantiating (103) with fresh symbols all_137_0,
% 53.71/7.85  | | | | | | | |        all_137_1 gives:
% 53.71/7.85  | | | | | | | |   (108)  in(all_79_2, all_30_3) = all_137_0 & in(all_79_2,
% 53.71/7.85  | | | | | | | |            all_30_3) = all_137_1 & ( ~ (all_137_1 = 0) |
% 53.71/7.85  | | | | | | | |            all_137_0 = 0)
% 53.71/7.85  | | | | | | | | 
% 53.71/7.85  | | | | | | | | ALPHA: (108) implies:
% 53.71/7.85  | | | | | | | |   (109)  in(all_79_2, all_30_3) = all_137_1
% 53.71/7.85  | | | | | | | | 
% 53.71/7.85  | | | | | | | | DELTA: instantiating (102) with fresh symbols all_153_0,
% 53.71/7.85  | | | | | | | |        all_153_1 gives:
% 53.71/7.85  | | | | | | | |   (110)  in(all_79_2, all_30_1) = all_153_0 & in(all_79_2,
% 53.71/7.85  | | | | | | | |            all_30_1) = all_153_1 & ( ~ (all_153_1 = 0) |
% 53.71/7.85  | | | | | | | |            all_153_0 = 0)
% 53.71/7.85  | | | | | | | | 
% 53.71/7.85  | | | | | | | | ALPHA: (110) implies:
% 53.71/7.85  | | | | | | | |   (111)  in(all_79_2, all_30_1) = all_153_1
% 53.71/7.85  | | | | | | | |   (112)  in(all_79_2, all_30_1) = all_153_0
% 53.71/7.85  | | | | | | | | 
% 53.71/7.85  | | | | | | | | DELTA: instantiating (101) with fresh symbols all_155_0,
% 53.71/7.85  | | | | | | | |        all_155_1, all_155_2 gives:
% 53.71/7.85  | | | | | | | |   (113)  in(all_79_2, all_30_1) = all_155_2 & in(all_79_2,
% 53.71/7.85  | | | | | | | |            all_30_4) = all_155_0 & in(all_79_4, all_30_5) =
% 53.71/7.85  | | | | | | | |          all_155_1 & ( ~ (all_155_2 = 0) | (all_155_0 = 0 &
% 53.71/7.85  | | | | | | | |              all_155_1 = 0))
% 53.71/7.85  | | | | | | | | 
% 53.71/7.85  | | | | | | | | ALPHA: (113) implies:
% 53.71/7.85  | | | | | | | |   (114)  in(all_79_4, all_30_5) = all_155_1
% 53.71/7.85  | | | | | | | |   (115)  in(all_79_2, all_30_4) = all_155_0
% 53.71/7.85  | | | | | | | |   (116)  in(all_79_2, all_30_1) = all_155_2
% 53.71/7.85  | | | | | | | |   (117)   ~ (all_155_2 = 0) | (all_155_0 = 0 & all_155_1 = 0)
% 53.71/7.85  | | | | | | | | 
% 53.71/7.85  | | | | | | | | DELTA: instantiating (100) with fresh symbols all_177_0,
% 53.71/7.85  | | | | | | | |        all_177_1, all_177_2 gives:
% 53.71/7.85  | | | | | | | |   (118)  in(all_79_2, all_30_1) = all_177_0 & in(all_79_2,
% 53.71/7.85  | | | | | | | |            all_30_4) = all_177_1 & in(all_79_4, all_30_5) =
% 53.71/7.85  | | | | | | | |          all_177_2 & ( ~ (all_177_1 = 0) |  ~ (all_177_2 = 0) |
% 53.71/7.85  | | | | | | | |            all_177_0 = 0)
% 53.71/7.85  | | | | | | | | 
% 53.71/7.85  | | | | | | | | ALPHA: (118) implies:
% 53.71/7.85  | | | | | | | |   (119)  in(all_79_4, all_30_5) = all_177_2
% 53.71/7.85  | | | | | | | |   (120)  in(all_79_2, all_30_4) = all_177_1
% 53.71/7.85  | | | | | | | |   (121)  in(all_79_2, all_30_1) = all_177_0
% 53.71/7.85  | | | | | | | |   (122)   ~ (all_177_1 = 0) |  ~ (all_177_2 = 0) | all_177_0 = 0
% 53.71/7.85  | | | | | | | | 
% 53.71/7.85  | | | | | | | | DELTA: instantiating (99) with fresh symbols all_183_0,
% 53.71/7.85  | | | | | | | |        all_183_1, all_183_2 gives:
% 53.71/7.85  | | | | | | | |   (123)  in(all_79_2, all_30_2) = all_183_2 & in(all_79_2,
% 53.71/7.85  | | | | | | | |            all_30_3) = all_183_0 & in(all_79_4, all_30_5) =
% 53.71/7.85  | | | | | | | |          all_183_1 & ( ~ (all_183_2 = 0) | (all_183_0 = 0 &
% 53.71/7.85  | | | | | | | |              all_183_1 = 0))
% 53.71/7.85  | | | | | | | | 
% 53.71/7.85  | | | | | | | | ALPHA: (123) implies:
% 53.71/7.85  | | | | | | | |   (124)  in(all_79_4, all_30_5) = all_183_1
% 53.71/7.85  | | | | | | | |   (125)  in(all_79_2, all_30_3) = all_183_0
% 53.71/7.85  | | | | | | | |   (126)  in(all_79_2, all_30_2) = all_183_2
% 53.71/7.85  | | | | | | | |   (127)   ~ (all_183_2 = 0) | (all_183_0 = 0 & all_183_1 = 0)
% 53.71/7.85  | | | | | | | | 
% 53.71/7.85  | | | | | | | | DELTA: instantiating (98) with fresh symbols all_185_0,
% 53.71/7.85  | | | | | | | |        all_185_1, all_185_2 gives:
% 53.71/7.85  | | | | | | | |   (128)  in(all_79_2, all_30_2) = all_185_0 & in(all_79_2,
% 53.71/7.85  | | | | | | | |            all_30_3) = all_185_1 & in(all_79_4, all_30_5) =
% 53.71/7.85  | | | | | | | |          all_185_2 & ( ~ (all_185_1 = 0) |  ~ (all_185_2 = 0) |
% 53.71/7.85  | | | | | | | |            all_185_0 = 0)
% 53.71/7.85  | | | | | | | | 
% 53.71/7.86  | | | | | | | | ALPHA: (128) implies:
% 53.71/7.86  | | | | | | | |   (129)  in(all_79_4, all_30_5) = all_185_2
% 53.71/7.86  | | | | | | | |   (130)  in(all_79_2, all_30_3) = all_185_1
% 53.71/7.86  | | | | | | | |   (131)  in(all_79_2, all_30_2) = all_185_0
% 53.71/7.86  | | | | | | | |   (132)   ~ (all_185_1 = 0) |  ~ (all_185_2 = 0) | all_185_0 = 0
% 53.71/7.86  | | | | | | | | 
% 53.71/7.86  | | | | | | | | DELTA: instantiating (97) with fresh symbols all_198_0,
% 53.71/7.86  | | | | | | | |        all_198_1, all_198_2 gives:
% 53.71/7.86  | | | | | | | |   (133)  ( ~ (all_198_2 = 0) & relation(all_30_4) = all_198_2) |
% 53.71/7.86  | | | | | | | |          (in(all_79_2, all_30_3) = all_198_2 & in(all_79_2,
% 53.71/7.86  | | | | | | | |              all_30_4) = all_198_0 & in(all_79_3, all_30_6) =
% 53.71/7.86  | | | | | | | |            all_198_1 & ( ~ (all_198_2 = 0) | (all_198_0 = 0 &
% 53.71/7.86  | | | | | | | |                all_198_1 = 0)))
% 53.71/7.86  | | | | | | | | 
% 53.71/7.86  | | | | | | | | DELTA: instantiating (96) with fresh symbols all_201_0,
% 53.71/7.86  | | | | | | | |        all_201_1, all_201_2 gives:
% 53.71/7.86  | | | | | | | |   (134)  ( ~ (all_201_2 = 0) & relation(all_30_4) = all_201_2) |
% 53.71/7.86  | | | | | | | |          (in(all_79_2, all_30_3) = all_201_0 & in(all_79_2,
% 53.71/7.86  | | | | | | | |              all_30_4) = all_201_1 & in(all_79_3, all_30_6) =
% 53.71/7.86  | | | | | | | |            all_201_2 & ( ~ (all_201_1 = 0) |  ~ (all_201_2 = 0)
% 53.71/7.86  | | | | | | | |              | all_201_0 = 0))
% 53.71/7.86  | | | | | | | | 
% 53.71/7.86  | | | | | | | | DELTA: instantiating (105) with fresh symbols all_206_0,
% 53.71/7.86  | | | | | | | |        all_206_1, all_206_2 gives:
% 53.71/7.86  | | | | | | | |   (135)  ( ~ (all_206_2 = 0) & relation(all_30_1) = all_206_2) |
% 53.71/7.86  | | | | | | | |          (in(all_89_3, all_30_0) = all_206_0 & in(all_89_3,
% 53.71/7.86  | | | | | | | |              all_30_1) = all_206_1 & in(all_89_4, all_30_6) =
% 53.71/7.86  | | | | | | | |            all_206_2 & ( ~ (all_206_1 = 0) |  ~ (all_206_2 = 0)
% 53.71/7.86  | | | | | | | |              | all_206_0 = 0))
% 53.71/7.86  | | | | | | | | 
% 53.71/7.86  | | | | | | | | DELTA: instantiating (95) with fresh symbols all_207_0,
% 53.71/7.86  | | | | | | | |        all_207_1, all_207_2 gives:
% 53.71/7.86  | | | | | | | |   (136)  ( ~ (all_207_2 = 0) & relation(all_30_1) = all_207_2) |
% 53.71/7.86  | | | | | | | |          (in(all_79_2, all_30_0) = all_207_2 & in(all_79_2,
% 53.71/7.86  | | | | | | | |              all_30_1) = all_207_0 & in(all_79_3, all_30_6) =
% 53.71/7.86  | | | | | | | |            all_207_1 & ( ~ (all_207_2 = 0) | (all_207_0 = 0 &
% 53.71/7.86  | | | | | | | |                all_207_1 = 0)))
% 53.71/7.86  | | | | | | | | 
% 53.71/7.86  | | | | | | | | DELTA: instantiating (94) with fresh symbols all_208_0,
% 53.71/7.86  | | | | | | | |        all_208_1, all_208_2 gives:
% 53.71/7.86  | | | | | | | |   (137)  ( ~ (all_208_2 = 0) & relation(all_30_1) = all_208_2) |
% 53.71/7.86  | | | | | | | |          (in(all_79_2, all_30_0) = all_208_0 & in(all_79_2,
% 53.71/7.86  | | | | | | | |              all_30_1) = all_208_1 & in(all_79_3, all_30_6) =
% 53.71/7.86  | | | | | | | |            all_208_2 & ( ~ (all_208_1 = 0) |  ~ (all_208_2 = 0)
% 53.71/7.86  | | | | | | | |              | all_208_0 = 0))
% 53.71/7.86  | | | | | | | | 
% 53.71/7.86  | | | | | | | | BETA: splitting (136) gives:
% 53.71/7.86  | | | | | | | | 
% 53.71/7.86  | | | | | | | | Case 1:
% 53.71/7.86  | | | | | | | | | 
% 53.71/7.86  | | | | | | | | |   (138)   ~ (all_207_2 = 0) & relation(all_30_1) = all_207_2
% 53.71/7.86  | | | | | | | | | 
% 53.71/7.86  | | | | | | | | | ALPHA: (138) implies:
% 53.71/7.86  | | | | | | | | |   (139)   ~ (all_207_2 = 0)
% 53.77/7.86  | | | | | | | | |   (140)  relation(all_30_1) = all_207_2
% 53.77/7.86  | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_207_2, all_30_1,
% 53.77/7.86  | | | | | | | | |              simplifying with (58), (140) gives:
% 53.77/7.86  | | | | | | | | |   (141)  all_207_2 = 0
% 53.77/7.86  | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | REDUCE: (139), (141) imply:
% 53.77/7.86  | | | | | | | | |   (142)  $false
% 53.77/7.86  | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | CLOSE: (142) is inconsistent.
% 53.77/7.86  | | | | | | | | | 
% 53.77/7.86  | | | | | | | | Case 2:
% 53.77/7.86  | | | | | | | | | 
% 53.77/7.86  | | | | | | | | |   (143)  in(all_79_2, all_30_0) = all_207_2 & in(all_79_2,
% 53.77/7.86  | | | | | | | | |            all_30_1) = all_207_0 & in(all_79_3, all_30_6) =
% 53.77/7.86  | | | | | | | | |          all_207_1 & ( ~ (all_207_2 = 0) | (all_207_0 = 0 &
% 53.77/7.86  | | | | | | | | |              all_207_1 = 0))
% 53.77/7.86  | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | ALPHA: (143) implies:
% 53.77/7.86  | | | | | | | | |   (144)  in(all_79_3, all_30_6) = all_207_1
% 53.77/7.86  | | | | | | | | |   (145)  in(all_79_2, all_30_1) = all_207_0
% 53.77/7.86  | | | | | | | | |   (146)  in(all_79_2, all_30_0) = all_207_2
% 53.77/7.86  | | | | | | | | |   (147)   ~ (all_207_2 = 0) | (all_207_0 = 0 & all_207_1 = 0)
% 53.77/7.86  | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | BETA: splitting (137) gives:
% 53.77/7.86  | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | Case 1:
% 53.77/7.86  | | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | |   (148)   ~ (all_208_2 = 0) & relation(all_30_1) = all_208_2
% 53.77/7.86  | | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | | ALPHA: (148) implies:
% 53.77/7.86  | | | | | | | | | |   (149)   ~ (all_208_2 = 0)
% 53.77/7.86  | | | | | | | | | |   (150)  relation(all_30_1) = all_208_2
% 53.77/7.86  | | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_208_2, all_30_1,
% 53.77/7.86  | | | | | | | | | |              simplifying with (58), (150) gives:
% 53.77/7.86  | | | | | | | | | |   (151)  all_208_2 = 0
% 53.77/7.86  | | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | | REDUCE: (149), (151) imply:
% 53.77/7.86  | | | | | | | | | |   (152)  $false
% 53.77/7.86  | | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | | CLOSE: (152) is inconsistent.
% 53.77/7.86  | | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | Case 2:
% 53.77/7.86  | | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | |   (153)  in(all_79_2, all_30_0) = all_208_0 & in(all_79_2,
% 53.77/7.86  | | | | | | | | | |            all_30_1) = all_208_1 & in(all_79_3, all_30_6) =
% 53.77/7.86  | | | | | | | | | |          all_208_2 & ( ~ (all_208_1 = 0) |  ~ (all_208_2 =
% 53.77/7.86  | | | | | | | | | |              0) | all_208_0 = 0)
% 53.77/7.86  | | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | | ALPHA: (153) implies:
% 53.77/7.86  | | | | | | | | | |   (154)  in(all_79_3, all_30_6) = all_208_2
% 53.77/7.86  | | | | | | | | | |   (155)  in(all_79_2, all_30_1) = all_208_1
% 53.77/7.86  | | | | | | | | | |   (156)  in(all_79_2, all_30_0) = all_208_0
% 53.77/7.86  | | | | | | | | | |   (157)   ~ (all_208_1 = 0) |  ~ (all_208_2 = 0) | all_208_0
% 53.77/7.86  | | | | | | | | | |          = 0
% 53.77/7.86  | | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | | BETA: splitting (134) gives:
% 53.77/7.86  | | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | | Case 1:
% 53.77/7.86  | | | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | | |   (158)   ~ (all_201_2 = 0) & relation(all_30_4) =
% 53.77/7.86  | | | | | | | | | | |          all_201_2
% 53.77/7.86  | | | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | | | ALPHA: (158) implies:
% 53.77/7.86  | | | | | | | | | | |   (159)   ~ (all_201_2 = 0)
% 53.77/7.86  | | | | | | | | | | |   (160)  relation(all_30_4) = all_201_2
% 53.77/7.86  | | | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_201_2, all_30_4,
% 53.77/7.86  | | | | | | | | | | |              simplifying with (19), (160) gives:
% 53.77/7.86  | | | | | | | | | | |   (161)  all_201_2 = 0
% 53.77/7.86  | | | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | | | REDUCE: (159), (161) imply:
% 53.77/7.86  | | | | | | | | | | |   (162)  $false
% 53.77/7.86  | | | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | | | CLOSE: (162) is inconsistent.
% 53.77/7.86  | | | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | | Case 2:
% 53.77/7.86  | | | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | | |   (163)  in(all_79_2, all_30_3) = all_201_0 & in(all_79_2,
% 53.77/7.86  | | | | | | | | | | |            all_30_4) = all_201_1 & in(all_79_3, all_30_6) =
% 53.77/7.86  | | | | | | | | | | |          all_201_2 & ( ~ (all_201_1 = 0) |  ~ (all_201_2 =
% 53.77/7.86  | | | | | | | | | | |              0) | all_201_0 = 0)
% 53.77/7.86  | | | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | | | ALPHA: (163) implies:
% 53.77/7.86  | | | | | | | | | | |   (164)  in(all_79_3, all_30_6) = all_201_2
% 53.77/7.86  | | | | | | | | | | |   (165)  in(all_79_2, all_30_4) = all_201_1
% 53.77/7.86  | | | | | | | | | | |   (166)  in(all_79_2, all_30_3) = all_201_0
% 53.77/7.86  | | | | | | | | | | |   (167)   ~ (all_201_1 = 0) |  ~ (all_201_2 = 0) |
% 53.77/7.86  | | | | | | | | | | |          all_201_0 = 0
% 53.77/7.86  | | | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | | | BETA: splitting (133) gives:
% 53.77/7.86  | | | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | | | Case 1:
% 53.77/7.86  | | | | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | | | |   (168)   ~ (all_198_2 = 0) & relation(all_30_4) =
% 53.77/7.86  | | | | | | | | | | | |          all_198_2
% 53.77/7.86  | | | | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | | | | ALPHA: (168) implies:
% 53.77/7.86  | | | | | | | | | | | |   (169)   ~ (all_198_2 = 0)
% 53.77/7.86  | | | | | | | | | | | |   (170)  relation(all_30_4) = all_198_2
% 53.77/7.86  | | | | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_198_2, all_30_4,
% 53.77/7.86  | | | | | | | | | | | |              simplifying with (19), (170) gives:
% 53.77/7.86  | | | | | | | | | | | |   (171)  all_198_2 = 0
% 53.77/7.86  | | | | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | | | | REDUCE: (169), (171) imply:
% 53.77/7.86  | | | | | | | | | | | |   (172)  $false
% 53.77/7.86  | | | | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | | | | CLOSE: (172) is inconsistent.
% 53.77/7.86  | | | | | | | | | | | | 
% 53.77/7.86  | | | | | | | | | | | Case 2:
% 53.77/7.86  | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | |   (173)  in(all_79_2, all_30_3) = all_198_2 & in(all_79_2,
% 53.77/7.87  | | | | | | | | | | | |            all_30_4) = all_198_0 & in(all_79_3, all_30_6) =
% 53.77/7.87  | | | | | | | | | | | |          all_198_1 & ( ~ (all_198_2 = 0) | (all_198_0 = 0 &
% 53.77/7.87  | | | | | | | | | | | |              all_198_1 = 0))
% 53.77/7.87  | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | ALPHA: (173) implies:
% 53.77/7.87  | | | | | | | | | | | |   (174)  in(all_79_3, all_30_6) = all_198_1
% 53.77/7.87  | | | | | | | | | | | |   (175)  in(all_79_2, all_30_4) = all_198_0
% 53.77/7.87  | | | | | | | | | | | |   (176)  in(all_79_2, all_30_3) = all_198_2
% 53.77/7.87  | | | | | | | | | | | |   (177)   ~ (all_198_2 = 0) | (all_198_0 = 0 & all_198_1 =
% 53.77/7.87  | | | | | | | | | | | |            0)
% 53.77/7.87  | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | BETA: splitting (135) gives:
% 53.77/7.87  | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | Case 1:
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | |   (178)   ~ (all_206_2 = 0) & relation(all_30_1) =
% 53.77/7.87  | | | | | | | | | | | | |          all_206_2
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | ALPHA: (178) implies:
% 53.77/7.87  | | | | | | | | | | | | |   (179)   ~ (all_206_2 = 0)
% 53.77/7.87  | | | | | | | | | | | | |   (180)  relation(all_30_1) = all_206_2
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_206_2, all_30_1,
% 53.77/7.87  | | | | | | | | | | | | |              simplifying with (58), (180) gives:
% 53.77/7.87  | | | | | | | | | | | | |   (181)  all_206_2 = 0
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | REDUCE: (179), (181) imply:
% 53.77/7.87  | | | | | | | | | | | | |   (182)  $false
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | CLOSE: (182) is inconsistent.
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | Case 2:
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_183_1, all_185_2,
% 53.77/7.87  | | | | | | | | | | | | |              all_30_5, all_79_4, simplifying with (124), (129)
% 53.77/7.87  | | | | | | | | | | | | |              gives:
% 53.77/7.87  | | | | | | | | | | | | |   (183)  all_185_2 = all_183_1
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_177_2, all_185_2,
% 53.77/7.87  | | | | | | | | | | | | |              all_30_5, all_79_4, simplifying with (119), (129)
% 53.77/7.87  | | | | | | | | | | | | |              gives:
% 53.77/7.87  | | | | | | | | | | | | |   (184)  all_185_2 = all_177_2
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_155_1, all_185_2,
% 53.77/7.87  | | | | | | | | | | | | |              all_30_5, all_79_4, simplifying with (114), (129)
% 53.77/7.87  | | | | | | | | | | | | |              gives:
% 53.77/7.87  | | | | | | | | | | | | |   (185)  all_185_2 = all_155_1
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_198_1, all_207_1,
% 53.77/7.87  | | | | | | | | | | | | |              all_30_6, all_79_3, simplifying with (144), (174)
% 53.77/7.87  | | | | | | | | | | | | |              gives:
% 53.77/7.87  | | | | | | | | | | | | |   (186)  all_207_1 = all_198_1
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_207_1, all_208_2,
% 53.77/7.87  | | | | | | | | | | | | |              all_30_6, all_79_3, simplifying with (144), (154)
% 53.77/7.87  | | | | | | | | | | | | |              gives:
% 53.77/7.87  | | | | | | | | | | | | |   (187)  all_208_2 = all_207_1
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_201_2, all_208_2,
% 53.77/7.87  | | | | | | | | | | | | |              all_30_6, all_79_3, simplifying with (154), (164)
% 53.77/7.87  | | | | | | | | | | | | |              gives:
% 53.77/7.87  | | | | | | | | | | | | |   (188)  all_208_2 = all_201_2
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_155_0, all_177_1,
% 53.77/7.87  | | | | | | | | | | | | |              all_30_4, all_79_2, simplifying with (115), (120)
% 53.77/7.87  | | | | | | | | | | | | |              gives:
% 53.77/7.87  | | | | | | | | | | | | |   (189)  all_177_1 = all_155_0
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_198_0, all_201_1,
% 53.77/7.87  | | | | | | | | | | | | |              all_30_4, all_79_2, simplifying with (165), (175)
% 53.77/7.87  | | | | | | | | | | | | |              gives:
% 53.77/7.87  | | | | | | | | | | | | |   (190)  all_201_1 = all_198_0
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_177_1, all_201_1,
% 53.77/7.87  | | | | | | | | | | | | |              all_30_4, all_79_2, simplifying with (120), (165)
% 53.77/7.87  | | | | | | | | | | | | |              gives:
% 53.77/7.87  | | | | | | | | | | | | |   (191)  all_201_1 = all_177_1
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_135_1, all_201_1,
% 53.77/7.87  | | | | | | | | | | | | |              all_30_4, all_79_2, simplifying with (107), (165)
% 53.77/7.87  | | | | | | | | | | | | |              gives:
% 53.77/7.87  | | | | | | | | | | | | |   (192)  all_201_1 = all_135_1
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_198_2, all_201_0,
% 53.77/7.87  | | | | | | | | | | | | |              all_30_3, all_79_2, simplifying with (166), (176)
% 53.77/7.87  | | | | | | | | | | | | |              gives:
% 53.77/7.87  | | | | | | | | | | | | |   (193)  all_201_0 = all_198_2
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_185_1, all_201_0,
% 53.77/7.87  | | | | | | | | | | | | |              all_30_3, all_79_2, simplifying with (130), (166)
% 53.77/7.87  | | | | | | | | | | | | |              gives:
% 53.77/7.87  | | | | | | | | | | | | |   (194)  all_201_0 = all_185_1
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_183_0, all_201_0,
% 53.77/7.87  | | | | | | | | | | | | |              all_30_3, all_79_2, simplifying with (125), (166)
% 53.77/7.87  | | | | | | | | | | | | |              gives:
% 53.77/7.87  | | | | | | | | | | | | |   (195)  all_201_0 = all_183_0
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_137_1, all_201_0,
% 53.77/7.87  | | | | | | | | | | | | |              all_30_3, all_79_2, simplifying with (109), (166)
% 53.77/7.87  | | | | | | | | | | | | |              gives:
% 53.77/7.87  | | | | | | | | | | | | |   (196)  all_201_0 = all_137_1
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_79_1, all_185_0,
% 53.77/7.87  | | | | | | | | | | | | |              all_30_2, all_79_2, simplifying with (75), (131)
% 53.77/7.87  | | | | | | | | | | | | |              gives:
% 53.77/7.87  | | | | | | | | | | | | |   (197)  all_185_0 = all_79_1
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_183_2, all_185_0,
% 53.77/7.87  | | | | | | | | | | | | |              all_30_2, all_79_2, simplifying with (126), (131)
% 53.77/7.87  | | | | | | | | | | | | |              gives:
% 53.77/7.87  | | | | | | | | | | | | |   (198)  all_185_0 = all_183_2
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_153_1, all_155_2,
% 53.77/7.87  | | | | | | | | | | | | |              all_30_1, all_79_2, simplifying with (111), (116)
% 53.77/7.87  | | | | | | | | | | | | |              gives:
% 53.77/7.87  | | | | | | | | | | | | |   (199)  all_155_2 = all_153_1
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_155_2, all_177_0,
% 53.77/7.87  | | | | | | | | | | | | |              all_30_1, all_79_2, simplifying with (116), (121)
% 53.77/7.87  | | | | | | | | | | | | |              gives:
% 53.77/7.87  | | | | | | | | | | | | |   (200)  all_177_0 = all_155_2
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_177_0, all_207_0,
% 53.77/7.87  | | | | | | | | | | | | |              all_30_1, all_79_2, simplifying with (121), (145)
% 53.77/7.87  | | | | | | | | | | | | |              gives:
% 53.77/7.87  | | | | | | | | | | | | |   (201)  all_207_0 = all_177_0
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_207_0, all_208_1,
% 53.77/7.87  | | | | | | | | | | | | |              all_30_1, all_79_2, simplifying with (145), (155)
% 53.77/7.87  | | | | | | | | | | | | |              gives:
% 53.77/7.87  | | | | | | | | | | | | |   (202)  all_208_1 = all_207_0
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_153_0, all_208_1,
% 53.77/7.87  | | | | | | | | | | | | |              all_30_1, all_79_2, simplifying with (112), (155)
% 53.77/7.87  | | | | | | | | | | | | |              gives:
% 53.77/7.87  | | | | | | | | | | | | |   (203)  all_208_1 = all_153_0
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_79_0, all_208_0,
% 53.77/7.87  | | | | | | | | | | | | |              all_30_0, all_79_2, simplifying with (76), (156)
% 53.77/7.87  | | | | | | | | | | | | |              gives:
% 53.77/7.87  | | | | | | | | | | | | |   (204)  all_208_0 = all_79_0
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_207_2, all_208_0,
% 53.77/7.87  | | | | | | | | | | | | |              all_30_0, all_79_2, simplifying with (146), (156)
% 53.77/7.87  | | | | | | | | | | | | |              gives:
% 53.77/7.87  | | | | | | | | | | | | |   (205)  all_208_0 = all_207_2
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | COMBINE_EQS: (204), (205) imply:
% 53.77/7.87  | | | | | | | | | | | | |   (206)  all_207_2 = all_79_0
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | COMBINE_EQS: (202), (203) imply:
% 53.77/7.87  | | | | | | | | | | | | |   (207)  all_207_0 = all_153_0
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | SIMP: (207) implies:
% 53.77/7.87  | | | | | | | | | | | | |   (208)  all_207_0 = all_153_0
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | COMBINE_EQS: (187), (188) imply:
% 53.77/7.87  | | | | | | | | | | | | |   (209)  all_207_1 = all_201_2
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | SIMP: (209) implies:
% 53.77/7.87  | | | | | | | | | | | | |   (210)  all_207_1 = all_201_2
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | COMBINE_EQS: (201), (208) imply:
% 53.77/7.87  | | | | | | | | | | | | |   (211)  all_177_0 = all_153_0
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | SIMP: (211) implies:
% 53.77/7.87  | | | | | | | | | | | | |   (212)  all_177_0 = all_153_0
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | COMBINE_EQS: (186), (210) imply:
% 53.77/7.87  | | | | | | | | | | | | |   (213)  all_201_2 = all_198_1
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | COMBINE_EQS: (193), (196) imply:
% 53.77/7.87  | | | | | | | | | | | | |   (214)  all_198_2 = all_137_1
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | COMBINE_EQS: (193), (195) imply:
% 53.77/7.87  | | | | | | | | | | | | |   (215)  all_198_2 = all_183_0
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | COMBINE_EQS: (193), (194) imply:
% 53.77/7.87  | | | | | | | | | | | | |   (216)  all_198_2 = all_185_1
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | COMBINE_EQS: (190), (191) imply:
% 53.77/7.87  | | | | | | | | | | | | |   (217)  all_198_0 = all_177_1
% 53.77/7.87  | | | | | | | | | | | | | 
% 53.77/7.87  | | | | | | | | | | | | | COMBINE_EQS: (190), (192) imply:
% 53.77/7.87  | | | | | | | | | | | | |   (218)  all_198_0 = all_135_1
% 53.77/7.88  | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | COMBINE_EQS: (217), (218) imply:
% 53.77/7.88  | | | | | | | | | | | | |   (219)  all_177_1 = all_135_1
% 53.77/7.88  | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | SIMP: (219) implies:
% 53.77/7.88  | | | | | | | | | | | | |   (220)  all_177_1 = all_135_1
% 53.77/7.88  | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | COMBINE_EQS: (214), (216) imply:
% 53.77/7.88  | | | | | | | | | | | | |   (221)  all_185_1 = all_137_1
% 53.77/7.88  | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | COMBINE_EQS: (215), (216) imply:
% 53.77/7.88  | | | | | | | | | | | | |   (222)  all_185_1 = all_183_0
% 53.77/7.88  | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | COMBINE_EQS: (197), (198) imply:
% 53.77/7.88  | | | | | | | | | | | | |   (223)  all_183_2 = all_79_1
% 53.77/7.88  | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | COMBINE_EQS: (221), (222) imply:
% 53.77/7.88  | | | | | | | | | | | | |   (224)  all_183_0 = all_137_1
% 53.77/7.88  | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | SIMP: (224) implies:
% 53.77/7.88  | | | | | | | | | | | | |   (225)  all_183_0 = all_137_1
% 53.77/7.88  | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | COMBINE_EQS: (183), (184) imply:
% 53.77/7.88  | | | | | | | | | | | | |   (226)  all_183_1 = all_177_2
% 53.77/7.88  | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | COMBINE_EQS: (183), (185) imply:
% 53.77/7.88  | | | | | | | | | | | | |   (227)  all_183_1 = all_155_1
% 53.77/7.88  | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | COMBINE_EQS: (226), (227) imply:
% 53.77/7.88  | | | | | | | | | | | | |   (228)  all_177_2 = all_155_1
% 53.77/7.88  | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | SIMP: (228) implies:
% 53.77/7.88  | | | | | | | | | | | | |   (229)  all_177_2 = all_155_1
% 53.77/7.88  | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | COMBINE_EQS: (200), (212) imply:
% 53.77/7.88  | | | | | | | | | | | | |   (230)  all_155_2 = all_153_0
% 53.77/7.88  | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | SIMP: (230) implies:
% 53.77/7.88  | | | | | | | | | | | | |   (231)  all_155_2 = all_153_0
% 53.77/7.88  | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | COMBINE_EQS: (189), (220) imply:
% 53.77/7.88  | | | | | | | | | | | | |   (232)  all_155_0 = all_135_1
% 53.77/7.88  | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | SIMP: (232) implies:
% 53.77/7.88  | | | | | | | | | | | | |   (233)  all_155_0 = all_135_1
% 53.77/7.88  | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | COMBINE_EQS: (199), (231) imply:
% 53.77/7.88  | | | | | | | | | | | | |   (234)  all_153_0 = all_153_1
% 53.77/7.88  | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | COMBINE_EQS: (212), (234) imply:
% 53.77/7.88  | | | | | | | | | | | | |   (235)  all_177_0 = all_153_1
% 53.77/7.88  | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | COMBINE_EQS: (208), (234) imply:
% 53.77/7.88  | | | | | | | | | | | | |   (236)  all_207_0 = all_153_1
% 53.77/7.88  | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | COMBINE_EQS: (188), (213) imply:
% 53.77/7.88  | | | | | | | | | | | | |   (237)  all_208_2 = all_198_1
% 53.77/7.88  | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | COMBINE_EQS: (203), (234) imply:
% 53.77/7.88  | | | | | | | | | | | | |   (238)  all_208_1 = all_153_1
% 53.77/7.88  | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | BETA: splitting (79) gives:
% 53.77/7.88  | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | Case 1:
% 53.77/7.88  | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | |   (239)   ~ (all_79_0 = 0)
% 53.77/7.88  | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | BETA: splitting (78) gives:
% 53.77/7.88  | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | Case 1:
% 53.77/7.88  | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | |   (240)  all_79_0 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | REDUCE: (239), (240) imply:
% 53.77/7.88  | | | | | | | | | | | | | | |   (241)  $false
% 53.77/7.88  | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | CLOSE: (241) is inconsistent.
% 53.77/7.88  | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | Case 2:
% 53.77/7.88  | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | |   (242)  all_79_1 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | COMBINE_EQS: (223), (242) imply:
% 53.77/7.88  | | | | | | | | | | | | | | |   (243)  all_183_2 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | BETA: splitting (127) gives:
% 53.77/7.88  | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | Case 1:
% 53.77/7.88  | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | |   (244)   ~ (all_183_2 = 0)
% 53.77/7.88  | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | REDUCE: (243), (244) imply:
% 53.77/7.88  | | | | | | | | | | | | | | | |   (245)  $false
% 53.77/7.88  | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | CLOSE: (245) is inconsistent.
% 53.77/7.88  | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | Case 2:
% 53.77/7.88  | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | |   (246)  all_183_0 = 0 & all_183_1 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | ALPHA: (246) implies:
% 53.77/7.88  | | | | | | | | | | | | | | | |   (247)  all_183_1 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | |   (248)  all_183_0 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | COMBINE_EQS: (225), (248) imply:
% 53.77/7.88  | | | | | | | | | | | | | | | |   (249)  all_137_1 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | COMBINE_EQS: (227), (247) imply:
% 53.77/7.88  | | | | | | | | | | | | | | | |   (250)  all_155_1 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | SIMP: (250) implies:
% 53.77/7.88  | | | | | | | | | | | | | | | |   (251)  all_155_1 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | COMBINE_EQS: (229), (251) imply:
% 53.77/7.88  | | | | | | | | | | | | | | | |   (252)  all_177_2 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | COMBINE_EQS: (214), (249) imply:
% 53.77/7.88  | | | | | | | | | | | | | | | |   (253)  all_198_2 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 53.77/7.88  | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | Case 1:
% 53.77/7.88  | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | |   (254)   ~ (all_198_2 = 0)
% 53.77/7.88  | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | REDUCE: (253), (254) imply:
% 53.77/7.88  | | | | | | | | | | | | | | | | |   (255)  $false
% 53.77/7.88  | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | CLOSE: (255) is inconsistent.
% 53.77/7.88  | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | Case 2:
% 53.77/7.88  | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | |   (256)  all_198_0 = 0 & all_198_1 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | ALPHA: (256) implies:
% 53.77/7.88  | | | | | | | | | | | | | | | | |   (257)  all_198_1 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | | |   (258)  all_198_0 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | COMBINE_EQS: (218), (258) imply:
% 53.77/7.88  | | | | | | | | | | | | | | | | |   (259)  all_135_1 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | COMBINE_EQS: (220), (259) imply:
% 53.77/7.88  | | | | | | | | | | | | | | | | |   (260)  all_177_1 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | COMBINE_EQS: (237), (257) imply:
% 53.77/7.88  | | | | | | | | | | | | | | | | |   (261)  all_208_2 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 53.77/7.88  | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | Case 1:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | |   (262)   ~ (all_208_1 = 0)
% 53.77/7.88  | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | REDUCE: (238), (262) imply:
% 53.77/7.88  | | | | | | | | | | | | | | | | | |   (263)   ~ (all_153_1 = 0)
% 53.77/7.88  | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | Case 1:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | |   (264)   ~ (all_177_1 = 0)
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | REDUCE: (260), (264) imply:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | |   (265)  $false
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | CLOSE: (265) is inconsistent.
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | Case 2:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | |   (266)   ~ (all_177_2 = 0) | all_177_0 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | BETA: splitting (266) gives:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | Case 1:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | |   (267)   ~ (all_177_2 = 0)
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | REDUCE: (252), (267) imply:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | |   (268)  $false
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | CLOSE: (268) is inconsistent.
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | Case 2:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | |   (269)  all_177_0 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (235), (269) imply:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | |   (270)  all_153_1 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | SIMP: (270) implies:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | |   (271)  all_153_1 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | REDUCE: (263), (271) imply:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | |   (272)  $false
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | CLOSE: (272) is inconsistent.
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | End of split
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | End of split
% 53.77/7.88  | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | Case 2:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | |   (273)  all_208_1 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | | | |   (274)   ~ (all_208_2 = 0) | all_208_0 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (238), (273) imply:
% 53.77/7.88  | | | | | | | | | | | | | | | | | |   (275)  all_153_1 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (199), (275) imply:
% 53.77/7.88  | | | | | | | | | | | | | | | | | |   (276)  all_155_2 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | Case 1:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | |   (277)   ~ (all_208_2 = 0)
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | REDUCE: (261), (277) imply:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | |   (278)  $false
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | CLOSE: (278) is inconsistent.
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | Case 2:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | |   (279)  all_208_0 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (204), (279) imply:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | |   (280)  all_79_0 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | SIMP: (280) implies:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | |   (281)  all_79_0 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (206), (281) imply:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | |   (282)  all_207_2 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | Case 1:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | REDUCE: (239), (281) imply:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | |   (283)  $false
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | CLOSE: (283) is inconsistent.
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | Case 2:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | |   (284)   ~ (all_79_1 = 0)
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | Case 1:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | |   (285)   ~ (all_207_2 = 0)
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | | REDUCE: (282), (285) imply:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | |   (286)  $false
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | | CLOSE: (286) is inconsistent.
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | Case 2:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | |   (287)  all_207_0 = 0 & all_207_1 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | | ALPHA: (287) implies:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | |   (288)  all_207_1 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (213), (257) imply:
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | |   (289)  all_201_2 = 0
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (132), (167), (185), (192), (196), (197),
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | |            (221), (233), (276), (284), (289) are inconsistent
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1.
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | End of split
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | End of split
% 53.77/7.88  | | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | | End of split
% 53.77/7.88  | | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | | End of split
% 53.77/7.88  | | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | | End of split
% 53.77/7.88  | | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | End of split
% 53.77/7.88  | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | End of split
% 53.77/7.88  | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | Case 2:
% 53.77/7.88  | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | |   (290)  all_79_0 = 0
% 53.77/7.88  | | | | | | | | | | | | | |   (291)   ~ (all_79_1 = 0)
% 53.77/7.88  | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | COMBINE_EQS: (206), (290) imply:
% 53.77/7.88  | | | | | | | | | | | | | |   (292)  all_207_2 = 0
% 53.77/7.88  | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 53.77/7.88  | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | Case 1:
% 53.77/7.88  | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | |   (293)   ~ (all_207_2 = 0)
% 53.77/7.88  | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | REDUCE: (292), (293) imply:
% 53.77/7.88  | | | | | | | | | | | | | | |   (294)  $false
% 53.77/7.88  | | | | | | | | | | | | | | | 
% 53.77/7.88  | | | | | | | | | | | | | | | CLOSE: (294) is inconsistent.
% 53.77/7.88  | | | | | | | | | | | | | | | 
% 53.77/7.89  | | | | | | | | | | | | | | Case 2:
% 53.77/7.89  | | | | | | | | | | | | | | | 
% 53.77/7.89  | | | | | | | | | | | | | | |   (295)  all_207_0 = 0 & all_207_1 = 0
% 53.77/7.89  | | | | | | | | | | | | | | | 
% 53.77/7.89  | | | | | | | | | | | | | | | ALPHA: (295) implies:
% 53.77/7.89  | | | | | | | | | | | | | | |   (296)  all_207_1 = 0
% 53.77/7.89  | | | | | | | | | | | | | | |   (297)  all_207_0 = 0
% 53.77/7.89  | | | | | | | | | | | | | | | 
% 53.77/7.89  | | | | | | | | | | | | | | | COMBINE_EQS: (236), (297) imply:
% 53.77/7.89  | | | | | | | | | | | | | | |   (298)  all_153_1 = 0
% 53.77/7.89  | | | | | | | | | | | | | | | 
% 53.77/7.89  | | | | | | | | | | | | | | | COMBINE_EQS: (186), (296) imply:
% 53.77/7.89  | | | | | | | | | | | | | | |   (299)  all_198_1 = 0
% 53.77/7.89  | | | | | | | | | | | | | | | 
% 53.77/7.89  | | | | | | | | | | | | | | | COMBINE_EQS: (199), (298) imply:
% 53.77/7.89  | | | | | | | | | | | | | | |   (300)  all_155_2 = 0
% 53.77/7.89  | | | | | | | | | | | | | | | 
% 53.77/7.89  | | | | | | | | | | | | | | | COMBINE_EQS: (213), (299) imply:
% 53.77/7.89  | | | | | | | | | | | | | | |   (301)  all_201_2 = 0
% 53.77/7.89  | | | | | | | | | | | | | | | 
% 53.77/7.89  | | | | | | | | | | | | | | | REF_CLOSE: (117), (132), (167), (185), (192), (196), (197),
% 53.77/7.89  | | | | | | | | | | | | | | |            (221), (233), (291), (300), (301) are inconsistent
% 53.77/7.89  | | | | | | | | | | | | | | |            by sub-proof #1.
% 53.77/7.89  | | | | | | | | | | | | | | | 
% 53.77/7.89  | | | | | | | | | | | | | | End of split
% 53.77/7.89  | | | | | | | | | | | | | | 
% 53.77/7.89  | | | | | | | | | | | | | End of split
% 53.77/7.89  | | | | | | | | | | | | | 
% 53.77/7.89  | | | | | | | | | | | | End of split
% 53.77/7.89  | | | | | | | | | | | | 
% 53.77/7.89  | | | | | | | | | | | End of split
% 53.77/7.89  | | | | | | | | | | | 
% 53.77/7.89  | | | | | | | | | | End of split
% 53.77/7.89  | | | | | | | | | | 
% 53.77/7.89  | | | | | | | | | End of split
% 53.77/7.89  | | | | | | | | | 
% 53.77/7.89  | | | | | | | | End of split
% 53.77/7.89  | | | | | | | | 
% 53.77/7.89  | | | | | | | End of split
% 53.77/7.89  | | | | | | | 
% 53.77/7.89  | | | | | | End of split
% 53.77/7.89  | | | | | | 
% 53.77/7.89  | | | | | End of split
% 53.77/7.89  | | | | | 
% 53.77/7.89  | | | | End of split
% 53.77/7.89  | | | | 
% 53.77/7.89  | | | End of split
% 53.77/7.89  | | | 
% 53.77/7.89  | | End of split
% 53.77/7.89  | | 
% 53.77/7.89  | End of split
% 53.77/7.89  | 
% 53.77/7.89  End of proof
% 53.77/7.89  
% 53.77/7.89  Sub-proof #1 shows that the following formulas are inconsistent:
% 53.77/7.89  ----------------------------------------------------------------
% 53.77/7.89    (1)  all_201_1 = all_135_1
% 53.77/7.89    (2)  all_185_1 = all_137_1
% 53.77/7.89    (3)  all_155_0 = all_135_1
% 53.77/7.89    (4)   ~ (all_155_2 = 0) | (all_155_0 = 0 & all_155_1 = 0)
% 53.77/7.89    (5)  all_201_0 = all_137_1
% 53.77/7.89    (6)   ~ (all_79_1 = 0)
% 53.77/7.89    (7)  all_201_2 = 0
% 53.77/7.89    (8)  all_185_0 = all_79_1
% 53.77/7.89    (9)  all_155_2 = 0
% 53.77/7.89    (10)  all_185_2 = all_155_1
% 53.77/7.89    (11)   ~ (all_185_1 = 0) |  ~ (all_185_2 = 0) | all_185_0 = 0
% 53.77/7.89    (12)   ~ (all_201_1 = 0) |  ~ (all_201_2 = 0) | all_201_0 = 0
% 53.77/7.89  
% 53.77/7.89  Begin of proof
% 53.77/7.89  | 
% 53.77/7.89  | BETA: splitting (4) gives:
% 53.77/7.89  | 
% 53.77/7.89  | Case 1:
% 53.77/7.89  | | 
% 53.77/7.89  | |   (13)   ~ (all_155_2 = 0)
% 53.77/7.89  | | 
% 53.77/7.89  | | REDUCE: (9), (13) imply:
% 53.77/7.89  | |   (14)  $false
% 53.77/7.89  | | 
% 53.77/7.89  | | CLOSE: (14) is inconsistent.
% 53.77/7.89  | | 
% 53.77/7.89  | Case 2:
% 53.77/7.89  | | 
% 53.77/7.89  | |   (15)  all_155_0 = 0 & all_155_1 = 0
% 53.77/7.89  | | 
% 53.77/7.89  | | ALPHA: (15) implies:
% 53.77/7.89  | |   (16)  all_155_1 = 0
% 53.77/7.89  | |   (17)  all_155_0 = 0
% 53.77/7.89  | | 
% 53.77/7.89  | | COMBINE_EQS: (3), (17) imply:
% 53.77/7.89  | |   (18)  all_135_1 = 0
% 53.77/7.89  | | 
% 53.77/7.89  | | SIMP: (18) implies:
% 53.77/7.89  | |   (19)  all_135_1 = 0
% 53.77/7.89  | | 
% 53.77/7.89  | | COMBINE_EQS: (10), (16) imply:
% 53.77/7.89  | |   (20)  all_185_2 = 0
% 53.77/7.89  | | 
% 53.77/7.89  | | COMBINE_EQS: (1), (19) imply:
% 53.77/7.89  | |   (21)  all_201_1 = 0
% 53.77/7.89  | | 
% 53.77/7.89  | | BETA: splitting (11) gives:
% 53.77/7.89  | | 
% 53.77/7.89  | | Case 1:
% 53.77/7.89  | | | 
% 53.77/7.89  | | |   (22)   ~ (all_185_1 = 0)
% 53.77/7.89  | | | 
% 53.77/7.89  | | | REDUCE: (2), (22) imply:
% 53.77/7.89  | | |   (23)   ~ (all_137_1 = 0)
% 53.77/7.89  | | | 
% 53.77/7.89  | | | BETA: splitting (12) gives:
% 53.77/7.89  | | | 
% 53.77/7.89  | | | Case 1:
% 53.77/7.89  | | | | 
% 53.77/7.89  | | | |   (24)   ~ (all_201_1 = 0)
% 53.77/7.89  | | | | 
% 53.77/7.89  | | | | REDUCE: (21), (24) imply:
% 53.77/7.89  | | | |   (25)  $false
% 53.77/7.89  | | | | 
% 53.77/7.89  | | | | CLOSE: (25) is inconsistent.
% 53.77/7.89  | | | | 
% 53.77/7.89  | | | Case 2:
% 53.77/7.89  | | | | 
% 53.77/7.89  | | | |   (26)   ~ (all_201_2 = 0) | all_201_0 = 0
% 53.77/7.89  | | | | 
% 53.77/7.89  | | | | BETA: splitting (26) gives:
% 53.77/7.89  | | | | 
% 53.77/7.89  | | | | Case 1:
% 53.77/7.89  | | | | | 
% 53.77/7.89  | | | | |   (27)   ~ (all_201_2 = 0)
% 53.77/7.89  | | | | | 
% 53.77/7.89  | | | | | REDUCE: (7), (27) imply:
% 53.77/7.89  | | | | |   (28)  $false
% 53.77/7.89  | | | | | 
% 53.77/7.89  | | | | | CLOSE: (28) is inconsistent.
% 53.77/7.89  | | | | | 
% 53.77/7.89  | | | | Case 2:
% 53.77/7.89  | | | | | 
% 53.77/7.89  | | | | |   (29)  all_201_0 = 0
% 53.77/7.89  | | | | | 
% 53.77/7.89  | | | | | COMBINE_EQS: (5), (29) imply:
% 53.77/7.89  | | | | |   (30)  all_137_1 = 0
% 53.77/7.89  | | | | | 
% 53.77/7.89  | | | | | REDUCE: (23), (30) imply:
% 53.77/7.89  | | | | |   (31)  $false
% 53.77/7.89  | | | | | 
% 53.77/7.89  | | | | | CLOSE: (31) is inconsistent.
% 53.77/7.89  | | | | | 
% 53.77/7.89  | | | | End of split
% 53.77/7.89  | | | | 
% 53.77/7.89  | | | End of split
% 53.77/7.89  | | | 
% 53.77/7.89  | | Case 2:
% 53.77/7.89  | | | 
% 53.77/7.89  | | |   (32)   ~ (all_185_2 = 0) | all_185_0 = 0
% 53.77/7.89  | | | 
% 53.77/7.89  | | | BETA: splitting (32) gives:
% 53.77/7.89  | | | 
% 53.77/7.89  | | | Case 1:
% 53.77/7.89  | | | | 
% 53.77/7.89  | | | |   (33)   ~ (all_185_2 = 0)
% 53.77/7.89  | | | | 
% 53.77/7.89  | | | | REDUCE: (20), (33) imply:
% 53.77/7.89  | | | |   (34)  $false
% 53.77/7.89  | | | | 
% 53.77/7.89  | | | | CLOSE: (34) is inconsistent.
% 53.77/7.89  | | | | 
% 53.77/7.89  | | | Case 2:
% 53.77/7.89  | | | | 
% 53.77/7.89  | | | |   (35)  all_185_0 = 0
% 53.77/7.89  | | | | 
% 53.77/7.89  | | | | COMBINE_EQS: (8), (35) imply:
% 53.77/7.89  | | | |   (36)  all_79_1 = 0
% 53.77/7.89  | | | | 
% 53.77/7.89  | | | | REDUCE: (6), (36) imply:
% 53.77/7.89  | | | |   (37)  $false
% 53.77/7.89  | | | | 
% 53.77/7.89  | | | | CLOSE: (37) is inconsistent.
% 53.77/7.89  | | | | 
% 53.77/7.89  | | | End of split
% 53.77/7.89  | | | 
% 53.77/7.89  | | End of split
% 53.77/7.89  | | 
% 53.77/7.89  | End of split
% 53.77/7.89  | 
% 53.77/7.89  End of proof
% 53.77/7.89  % SZS output end Proof for theBenchmark
% 53.77/7.89  
% 53.77/7.89  7229ms
%------------------------------------------------------------------------------