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Princess---230619.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n010.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 04:12:04 EDT 2023

% Result   : Theorem 48.28s 7.15s
% Output   : Proof 68.95s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.35  % Computer : n010.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sun Aug 27 14:15:19 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.57  ________       _____
% 0.20/0.57  ___  __ \_________(_)________________________________
% 0.20/0.57  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.20/0.57  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.20/0.57  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.20/0.57  
% 0.20/0.57  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.57  (2023-06-19)
% 0.20/0.57  
% 0.20/0.57  (c) Philipp Rümmer, 2009-2023
% 0.20/0.57  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.57                Amanda Stjerna.
% 0.20/0.57  Free software under BSD-3-Clause.
% 0.20/0.57  
% 0.20/0.57  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.57  
% 0.20/0.57  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.59  Running up to 7 provers in parallel.
% 0.20/0.61  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.61  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.61  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.61  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.61  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.61  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.61  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 16.35/2.91  Prover 1: Preprocessing ...
% 16.35/2.94  Prover 6: Preprocessing ...
% 16.35/2.94  Prover 2: Preprocessing ...
% 16.35/2.94  Prover 3: Preprocessing ...
% 16.35/2.95  Prover 0: Preprocessing ...
% 16.83/3.04  Prover 4: Preprocessing ...
% 16.83/3.04  Prover 5: Preprocessing ...
% 39.76/6.00  Prover 1: Warning: ignoring some quantifiers
% 40.73/6.11  Prover 3: Warning: ignoring some quantifiers
% 40.73/6.25  Prover 6: Proving ...
% 40.73/6.25  Prover 3: Constructing countermodel ...
% 41.73/6.34  Prover 1: Constructing countermodel ...
% 46.64/7.10  Prover 0: Proving ...
% 48.28/7.15  Prover 3: proved (6551ms)
% 48.28/7.15  
% 48.28/7.15  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 48.28/7.15  
% 48.28/7.15  Prover 0: stopped
% 48.28/7.16  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 48.28/7.16  Prover 6: stopped
% 48.28/7.16  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 48.28/7.17  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 49.61/7.32  Prover 5: Proving ...
% 49.61/7.32  Prover 5: stopped
% 49.61/7.34  Prover 4: Warning: ignoring some quantifiers
% 49.61/7.35  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 51.86/7.69  Prover 4: Constructing countermodel ...
% 59.20/8.57  Prover 10: Preprocessing ...
% 59.20/8.59  Prover 7: Preprocessing ...
% 59.92/8.67  Prover 8: Preprocessing ...
% 60.52/8.77  Prover 11: Preprocessing ...
% 62.77/9.17  Prover 1: Found proof (size 42)
% 62.77/9.17  Prover 1: proved (8573ms)
% 62.77/9.17  Prover 10: stopped
% 62.77/9.17  Prover 7: stopped
% 62.77/9.17  Prover 4: stopped
% 64.17/9.25  Prover 11: stopped
% 64.93/9.43  Prover 2: Proving ...
% 64.93/9.43  Prover 2: stopped
% 67.25/9.93  Prover 8: Warning: ignoring some quantifiers
% 67.63/10.06  Prover 8: Constructing countermodel ...
% 67.63/10.07  Prover 8: stopped
% 67.63/10.07  
% 67.63/10.08  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 67.63/10.08  
% 67.63/10.09  % SZS output start Proof for theBenchmark
% 68.02/10.14  Assumptions after simplification:
% 68.02/10.14  ---------------------------------
% 68.02/10.14  
% 68.02/10.14    (axiom17)
% 68.02/10.17    Nat$(n$) & A_tag_const$(delta_tau$) & A_run$(rho$) & A_TESL_atomic_list$(phi$)
% 68.02/10.17    & A_TESL_atomic_list$(psi$) & A_constr_list$(gamma$) & Clock$(k_1$) &
% 68.02/10.17    Clock$(k_3$) & Clock$(k_2$) &  ? [v0: A_TESL_atomic$] :  ? [v1:
% 68.02/10.17      A_TESL_atomic_list$] :  ? [v2: A_TESL_atomic_list_a_TESL_atomic_list_prod$]
% 68.02/10.18    :  ? [v3: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ? [v4:
% 68.02/10.18      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] : 
% 68.02/10.18    ? [v5: A_run_set$] : (timeDelayedBy$(k_1$, delta_tau$, k_2$, k_3$) = v0 &
% 68.02/10.18      heronConf_interpretation$(v4) = v5 & pair$c(n$, v2) = v3 & pair$b(v1, phi$)
% 68.02/10.18      = v2 & pair$a(gamma$, v3) = v4 & cons$a(v0, psi$) = v1 & member$a(rho$, v5)
% 68.02/10.18      = 0 & A_TESL_atomic$(v0) &
% 68.02/10.18      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(v3) & A_run_set$(v5) &
% 68.02/10.18      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(v4)
% 68.02/10.18      & A_TESL_atomic_list_a_TESL_atomic_list_prod$(v2) & A_TESL_atomic_list$(v1))
% 68.02/10.18  
% 68.02/10.18    (axiom19)
% 68.02/10.19    A_run_set_a_run_set_a_run_set_fun_fun$(sup$) &  ! [v0: A_constr_list$] :  !
% 68.02/10.19    [v1: Nat$] :  ! [v2: Clock$] :  ! [v3: A_tag_const$] :  ! [v4: Clock$] :  !
% 68.41/10.19    [v5: Clock$] :  ! [v6: A_TESL_atomic_list$] :  ! [v7: A_TESL_atomic_list$] : 
% 68.41/10.19    ! [v8: A_TESL_atomic$] :  ! [v9: A_constr$] :  ! [v10: A_constr_list$] :  !
% 68.41/10.19    [v11: A_TESL_atomic_list$] :  ! [v12:
% 68.41/10.19      A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ! [v13:
% 68.41/10.19      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ! [v14:
% 68.41/10.19      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] : 
% 68.41/10.19    ! [v15: A_run_set$] :  ! [v16: A_run_set_a_run_set_fun$] :  ! [v17: A_constr$]
% 68.41/10.19    :  ! [v18: A_constr$] :  ! [v19: A_constr_list$] :  ! [v20: A_constr_list$] : 
% 68.41/10.19    ! [v21:
% 68.41/10.19      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] : 
% 68.41/10.19    ! [v22: A_run_set$] :  ! [v23: A_run_set$] : ( ~ (notTicks$(v2, v1) = v9) |  ~
% 68.41/10.19      (fun_app$m(sup$, v15) = v16) |  ~ (ticks$(v2, v1) = v17) |  ~
% 68.41/10.19      (timeDelay$(v4, v1, v3, v5) = v18) |  ~ (fun_app$l(v16, v22) = v23) |  ~
% 68.41/10.19      (timeDelayedBy$(v2, v3, v4, v5) = v8) |  ~ (heronConf_interpretation$(v21) =
% 68.41/10.19        v22) |  ~ (heronConf_interpretation$(v14) = v15) |  ~ (pair$c(v1, v12) =
% 68.41/10.19        v13) |  ~ (pair$b(v6, v11) = v12) |  ~ (pair$a(v20, v13) = v21) |  ~
% 68.41/10.19      (pair$a(v10, v13) = v14) |  ~ (cons$a(v8, v7) = v11) |  ~ (cons$(v18, v0) =
% 68.41/10.19        v19) |  ~ (cons$(v17, v19) = v20) |  ~ (cons$(v9, v0) = v10) |  ~ Nat$(v1)
% 68.41/10.19      |  ~ A_tag_const$(v3) |  ~ A_TESL_atomic_list$(v7) |  ~
% 68.41/10.19      A_TESL_atomic_list$(v6) |  ~ A_constr_list$(v0) |  ~ Clock$(v5) |  ~
% 68.41/10.19      Clock$(v4) |  ~ Clock$(v2) |  ? [v24: A_TESL_atomic_list$] :  ? [v25:
% 68.41/10.19        A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ? [v26:
% 68.41/10.19        Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ? [v27:
% 68.41/10.19        A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] :
% 68.41/10.19      (heronConf_interpretation$(v27) = v23 & pair$c(v1, v25) = v26 & pair$b(v24,
% 68.41/10.19          v7) = v25 & pair$a(v0, v26) = v27 & cons$a(v8, v6) = v24 &
% 68.41/10.19        Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(v26) &
% 68.41/10.19        A_run_set$(v23) &
% 68.41/10.19        A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(v27)
% 68.41/10.19        & A_TESL_atomic_list_a_TESL_atomic_list_prod$(v25) &
% 68.41/10.19        A_TESL_atomic_list$(v24)))
% 68.41/10.19  
% 68.41/10.19    (conjecture15)
% 68.43/10.20    Nat$(n$) & A_run_set_a_run_set_a_run_set_fun_fun$(sup$) &
% 68.43/10.20    A_tag_const$(delta_tau$) & A_TESL_atomic_list$(phi$) &
% 68.43/10.20    A_TESL_atomic_list$(psi$) & A_constr_list$(gamma$) & Clock$(k_1$) &
% 68.43/10.20    Clock$(k_3$) & Clock$(k_2$) &  ? [v0: A_TESL_atomic$] :  ? [v1:
% 68.43/10.20      A_TESL_atomic_list$] :  ? [v2: A_TESL_atomic_list_a_TESL_atomic_list_prod$]
% 68.43/10.20    :  ? [v3: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ? [v4:
% 68.43/10.20      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] : 
% 68.43/10.20    ? [v5: A_run_set$] :  ? [v6: A_constr$] :  ? [v7: A_constr_list$] :  ? [v8:
% 68.43/10.20      A_TESL_atomic_list$] :  ? [v9: A_TESL_atomic_list_a_TESL_atomic_list_prod$]
% 68.43/10.20    :  ? [v10: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ? [v11:
% 68.43/10.20      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] : 
% 68.43/10.20    ? [v12: A_run_set$] :  ? [v13: A_run_set_a_run_set_fun$] :  ? [v14: A_constr$]
% 68.43/10.20    :  ? [v15: A_constr$] :  ? [v16: A_constr_list$] :  ? [v17: A_constr_list$] : 
% 68.43/10.20    ? [v18:
% 68.43/10.20      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] : 
% 68.43/10.20    ? [v19: A_run_set$] :  ? [v20: A_run_set$] : ( ~ (v20 = v5) & notTicks$(k_1$,
% 68.43/10.20        n$) = v6 & fun_app$m(sup$, v12) = v13 & ticks$(k_1$, n$) = v14 &
% 68.43/10.20      timeDelay$(k_2$, n$, delta_tau$, k_3$) = v15 & fun_app$l(v13, v19) = v20 &
% 68.43/10.20      timeDelayedBy$(k_1$, delta_tau$, k_2$, k_3$) = v0 &
% 68.43/10.20      heronConf_interpretation$(v18) = v19 & heronConf_interpretation$(v11) = v12
% 68.43/10.20      & heronConf_interpretation$(v4) = v5 & pair$c(n$, v9) = v10 & pair$c(n$, v2)
% 68.43/10.20      = v3 & pair$b(v1, phi$) = v2 & pair$b(psi$, v8) = v9 & pair$a(v17, v10) =
% 68.43/10.20      v18 & pair$a(v7, v10) = v11 & pair$a(gamma$, v3) = v4 & cons$a(v0, phi$) =
% 68.43/10.20      v8 & cons$a(v0, psi$) = v1 & cons$(v15, gamma$) = v16 & cons$(v14, v16) =
% 68.43/10.20      v17 & cons$(v6, gamma$) = v7 & A_TESL_atomic$(v0) &
% 68.43/10.20      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(v10) &
% 68.43/10.20      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(v3) & A_run_set$(v20) &
% 68.43/10.20      A_run_set$(v19) & A_run_set$(v12) & A_run_set$(v5) &
% 68.43/10.20      A_run_set_a_run_set_fun$(v13) & A_constr$(v15) & A_constr$(v14) &
% 68.43/10.20      A_constr$(v6) &
% 68.43/10.20      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(v18)
% 68.43/10.20      &
% 68.43/10.20      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(v11)
% 68.43/10.20      &
% 68.43/10.20      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(v4)
% 68.43/10.20      & A_TESL_atomic_list_a_TESL_atomic_list_prod$(v9) &
% 68.43/10.20      A_TESL_atomic_list_a_TESL_atomic_list_prod$(v2) & A_TESL_atomic_list$(v8) &
% 68.43/10.20      A_TESL_atomic_list$(v1) & A_constr_list$(v17) & A_constr_list$(v16) &
% 68.43/10.20      A_constr_list$(v7))
% 68.43/10.20  
% 68.43/10.20    (function-axioms)
% 68.49/10.27     ! [v0: A_constr$] :  ! [v1: A_constr$] :  ! [v2: Clock$] :  ! [v3:
% 68.49/10.27      A_tag_const$] :  ! [v4: Nat$] :  ! [v5: Clock$] : (v1 = v0 |  ~
% 68.49/10.27      (timeDelay$(v5, v4, v3, v2) = v1) |  ~ (timeDelay$(v5, v4, v3, v2) = v0)) & 
% 68.49/10.27    ! [v0: A_TESL_atomic$] :  ! [v1: A_TESL_atomic$] :  ! [v2: Clock$] :  ! [v3:
% 68.49/10.27      Clock$] :  ! [v4: A_tag_const$] :  ! [v5: Clock$] : (v1 = v0 |  ~
% 68.49/10.27      (timeDelayedBy$(v5, v4, v3, v2) = v1) |  ~ (timeDelayedBy$(v5, v4, v3, v2) =
% 68.49/10.27        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.27      A_TESL_atomic_list_list$] :  ! [v3: A_TESL_atomic_list_list$] :  ! [v4:
% 68.49/10.27      A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$] : (v1 = v0 |  ~
% 68.49/10.27      (listrelp$c(v4, v3, v2) = v1) |  ~ (listrelp$c(v4, v3, v2) = v0)) &  ! [v0:
% 68.49/10.27      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.27      A_TESL_atomic_list_a_TESL_atomic_list_prod_list$] :  ! [v3: Nat_list$] :  !
% 68.49/10.27    [v4: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun$] : (v1 = v0
% 68.49/10.27      |  ~ (listrelp$b(v4, v3, v2) = v1) |  ~ (listrelp$b(v4, v3, v2) = v0)) &  !
% 68.49/10.27    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.27      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$] :  ! [v3:
% 68.49/10.27      A_constr_list_list$] :  ! [v4:
% 68.49/10.27      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$]
% 68.49/10.27    : (v1 = v0 |  ~ (listrelp$a(v4, v3, v2) = v1) |  ~ (listrelp$a(v4, v3, v2) =
% 68.49/10.27        v0)) &  ! [v0:
% 68.49/10.27      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$]
% 68.49/10.27    :  ! [v1:
% 68.49/10.27      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$]
% 68.49/10.27    :  ! [v2:
% 68.49/10.27      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] : 
% 68.49/10.27    ! [v3:
% 68.49/10.27      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_a_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun_fun$]
% 68.49/10.27    :  ! [v4: Nat$] : (v1 = v0 |  ~ (compow$(v4, v3, v2) = v1) |  ~ (compow$(v4,
% 68.49/10.27          v3, v2) = v0)) &  ! [v0: A_constr$] :  ! [v1: A_constr$] :  ! [v2:
% 68.49/10.27      A_tag_const$] :  ! [v3: Nat$] :  ! [v4: Clock$] : (v1 = v0 |  ~
% 68.49/10.27      (timestamp$(v4, v3, v2) = v1) |  ~ (timestamp$(v4, v3, v2) = v0)) &  ! [v0:
% 68.49/10.27      A_TESL_atomic$] :  ! [v1: A_TESL_atomic$] :  ! [v2: Clock$] :  ! [v3:
% 68.49/10.27      A_tag_const$] :  ! [v4: Clock$] : (v1 = v0 |  ~ (sporadicOn$(v4, v3, v2) =
% 68.49/10.27        v1) |  ~ (sporadicOn$(v4, v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 68.49/10.27    [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.27      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v3:
% 68.49/10.27      A_TESL_atomic_list_set$] : (v1 = v0 |  ~ (refl_on$(v3, v2) = v1) |  ~
% 68.49/10.27      (refl_on$(v3, v2) = v0)) &  ! [v0: A_constr_list_set$] :  ! [v1:
% 68.49/10.27      A_constr_list_set$] :  ! [v2: A_constr$] :  ! [v3: A_constr_list_set$] : (v1
% 68.49/10.27      = v0 |  ~ (shift$b(v3, v2) = v1) |  ~ (shift$b(v3, v2) = v0)) &  ! [v0:
% 68.49/10.27      A_TESL_atomic_list_set$] :  ! [v1: A_TESL_atomic_list_set$] :  ! [v2:
% 68.49/10.27      A_TESL_atomic$] :  ! [v3: A_TESL_atomic_list_set$] : (v1 = v0 |  ~
% 68.49/10.27      (shift$a(v3, v2) = v1) |  ~ (shift$a(v3, v2) = v0)) &  ! [v0:
% 68.49/10.27      A_run_list_set$] :  ! [v1: A_run_list_set$] :  ! [v2: A_run$] :  ! [v3:
% 68.49/10.27      A_run_list_set$] : (v1 = v0 |  ~ (shift$(v3, v2) = v1) |  ~ (shift$(v3, v2)
% 68.49/10.27        = v0)) &  ! [v0: A_run_set$] :  ! [v1: A_run_set$] :  ! [v2: A_run_list$]
% 68.49/10.27    :  ! [v3: A_run_list_set$] : (v1 = v0 |  ~ (succ$b(v3, v2) = v1) |  ~
% 68.49/10.27      (succ$b(v3, v2) = v0)) &  ! [v0: A_constr_set$] :  ! [v1: A_constr_set$] : 
% 68.49/10.27    ! [v2: A_constr_list$] :  ! [v3: A_constr_list_set$] : (v1 = v0 |  ~
% 68.49/10.27      (succ$a(v3, v2) = v1) |  ~ (succ$a(v3, v2) = v0)) &  ! [v0:
% 68.49/10.27      A_TESL_atomic_set$] :  ! [v1: A_TESL_atomic_set$] :  ! [v2:
% 68.49/10.27      A_TESL_atomic_list$] :  ! [v3: A_TESL_atomic_list_set$] : (v1 = v0 |  ~
% 68.49/10.27      (succ$(v3, v2) = v1) |  ~ (succ$(v3, v2) = v0)) &  ! [v0:
% 68.49/10.27      A_run_a_run_prod_set$] :  ! [v1: A_run_a_run_prod_set$] :  ! [v2:
% 68.49/10.27      A_run_a_run_prod_set$] :  ! [v3: A_run_a_run_prod_set$] : (v1 = v0 |  ~
% 68.49/10.27      (sup$r(v3, v2) = v1) |  ~ (sup$r(v3, v2) = v0)) &  ! [v0:
% 68.49/10.27      A_run_a_run_prod_set$] :  ! [v1: A_run_a_run_prod_set$] :  ! [v2:
% 68.49/10.27      A_run_a_run_prod_set$] :  ! [v3: A_run_a_run_prod$] : (v1 = v0 |  ~
% 68.49/10.27      (insert$i(v3, v2) = v1) |  ~ (insert$i(v3, v2) = v0)) &  ! [v0:
% 68.49/10.27      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.27      A_run_a_run_prod_set$] :  ! [v3: A_run_set$] : (v1 = v0 |  ~ (total_on$a(v3,
% 68.49/10.27          v2) = v1) |  ~ (total_on$a(v3, v2) = v0)) &  ! [v0:
% 68.49/10.27      A_TESL_atomic_list_set$] :  ! [v1: A_TESL_atomic_list_set$] :  ! [v2:
% 68.49/10.27      A_TESL_atomic_list_set$] :  ! [v3: A_TESL_atomic_list$] : (v1 = v0 |  ~
% 68.49/10.27      (insert$g(v3, v2) = v1) |  ~ (insert$g(v3, v2) = v0)) &  ! [v0:
% 68.49/10.27      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v1:
% 68.49/10.27      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v2:
% 68.49/10.27      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v3:
% 68.49/10.27      A_TESL_atomic_list_a_TESL_atomic_list_prod$] : (v1 = v0 |  ~ (insert$h(v3,
% 68.49/10.27          v2) = v1) |  ~ (insert$h(v3, v2) = v0)) &  ! [v0: MultipleValueBool] : 
% 68.49/10.27    ! [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.27      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v3:
% 68.49/10.27      A_TESL_atomic_list_set$] : (v1 = v0 |  ~ (total_on$(v3, v2) = v1) |  ~
% 68.49/10.27      (total_on$(v3, v2) = v0)) &  ! [v0: A_run_list$] :  ! [v1: A_run_list$] :  !
% 68.49/10.28    [v2: A_run_list$] :  ! [v3: A_run_list$] : (v1 = v0 |  ~ (union$(v3, v2) = v1)
% 68.49/10.28      |  ~ (union$(v3, v2) = v0)) &  ! [v0: A_run_list_a_run_list_prod$] :  ! [v1:
% 68.49/10.28      A_run_list_a_run_list_prod$] :  ! [v2: A_run_list$] :  ! [v3: A_run_list$] :
% 68.49/10.28    (v1 = v0 |  ~ (pair$t(v3, v2) = v1) |  ~ (pair$t(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.28      A_run_list_a_run_list_prod_set$] :  ! [v3: A_run_list_a_run_list_prod$] :
% 68.49/10.28    (v1 = v0 |  ~ (member$u(v3, v2) = v1) |  ~ (member$u(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_run_a_run_prod$] :  ! [v1: A_run_a_run_prod$] :  ! [v2: A_run$] :  ! [v3:
% 68.49/10.28      A_run$] : (v1 = v0 |  ~ (pair$s(v3, v2) = v1) |  ~ (pair$s(v3, v2) = v0)) & 
% 68.49/10.28    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.28      A_run_a_run_prod_set$] :  ! [v3: A_run_a_run_prod$] : (v1 = v0 |  ~
% 68.49/10.28      (member$t(v3, v2) = v1) |  ~ (member$t(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: A_constr_set$] : 
% 68.49/10.28    ! [v3: A_constr_set$] : (v1 = v0 |  ~ (less_eq$i(v3, v2) = v1) |  ~
% 68.49/10.28      (less_eq$i(v3, v2) = v0)) &  ! [v0: A_run_list$] :  ! [v1: A_run_list$] :  !
% 68.49/10.28    [v2: Nat_set$] :  ! [v3: A_run_list$] : (v1 = v0 |  ~ (nths$b(v3, v2) = v1) | 
% 68.49/10.28      ~ (nths$b(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 68.49/10.28      MultipleValueBool] :  ! [v2: A_constr_set$] :  ! [v3: A_constr$] : (v1 = v0
% 68.49/10.28      |  ~ (member$s(v3, v2) = v1) |  ~ (member$s(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_run_list$] :  ! [v1: A_run_list$] :  ! [v2: A_run_list$] :  ! [v3: A_run$]
% 68.49/10.28    : (v1 = v0 |  ~ (cons$i(v3, v2) = v1) |  ~ (cons$i(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_run_list$] :  ! [v1: A_run_list$] :  ! [v2: A_run_list$] :  ! [v3:
% 68.49/10.28      A_run_list$] : (v1 = v0 |  ~ (append$c(v3, v2) = v1) |  ~ (append$c(v3, v2)
% 68.49/10.28        = v0)) &  ! [v0: A_constr_set$] :  ! [v1: A_constr_set$] :  ! [v2:
% 68.49/10.28      A_constr_set$] :  ! [v3: A_constr$] : (v1 = v0 |  ~ (insert$f(v3, v2) = v1)
% 68.49/10.28      |  ~ (insert$f(v3, v2) = v0)) &  ! [v0: A_TESL_atomic_set$] :  ! [v1:
% 68.49/10.28      A_TESL_atomic_set$] :  ! [v2: A_TESL_atomic_set$] :  ! [v3: A_TESL_atomic$]
% 68.49/10.28    : (v1 = v0 |  ~ (insert$e(v3, v2) = v1) |  ~ (insert$e(v3, v2) = v0)) &  !
% 68.49/10.28    [v0: A_run_list$] :  ! [v1: A_run_list$] :  ! [v2: A_run_list$] :  ! [v3:
% 68.49/10.28      A_run$] : (v1 = v0 |  ~ (insert$d(v3, v2) = v1) |  ~ (insert$d(v3, v2) =
% 68.49/10.28        v0)) &  ! [v0: A_run_set$] :  ! [v1: A_run_set$] :  ! [v2: A_run_set$] : 
% 68.49/10.28    ! [v3: A_run$] : (v1 = v0 |  ~ (insert$c(v3, v2) = v1) |  ~ (insert$c(v3, v2)
% 68.49/10.28        = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_set$] :  ! [v3: A_TESL_atomic_set$] : (v1 = v0 |  ~
% 68.49/10.28      (less_eq$h(v3, v2) = v1) |  ~ (less_eq$h(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$]
% 68.49/10.28    :  ! [v1:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$]
% 68.49/10.28    :  ! [v2:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$]
% 68.49/10.28    :  ! [v3:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] :
% 68.49/10.28    (v1 = v0 |  ~ (insert$b(v3, v2) = v1) |  ~ (insert$b(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      Nat$] :  ! [v1: Nat$] :  ! [v2: A_constr$] :  ! [v3: A_nat_fun$] : (v1 = v0
% 68.49/10.28      |  ~ (size_constr$(v3, v2) = v1) |  ~ (size_constr$(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: A_run_bool_fun$] :
% 68.49/10.28     ! [v3: A_run_bool_fun$] : (v1 = v0 |  ~ (less_eq$g(v3, v2) = v1) |  ~
% 68.49/10.28      (less_eq$g(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 68.49/10.28      MultipleValueBool] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$] :  ! [v3:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$] : (v1 = v0 |  ~
% 68.49/10.28      (less_eq$f(v3, v2) = v1) |  ~ (less_eq$f(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.28      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun$] :  ! [v3:
% 68.49/10.28      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun$] : (v1 = v0 | 
% 68.49/10.28      ~ (less_eq$e(v3, v2) = v1) |  ~ (less_eq$e(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$]
% 68.49/10.28    :  ! [v3:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$]
% 68.49/10.28    : (v1 = v0 |  ~ (less_eq$d(v3, v2) = v1) |  ~ (less_eq$d(v3, v2) = v0)) &  !
% 68.49/10.28    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v3:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : (v1 = v0 |  ~
% 68.49/10.28      (less_eq$c(v3, v2) = v1) |  ~ (less_eq$c(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.28      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] :  ! [v3:
% 68.49/10.28      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] : (v1 = v0 |  ~
% 68.49/10.28      (less_eq$b(v3, v2) = v1) |  ~ (less_eq$b(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$]
% 68.49/10.28    :  ! [v3:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$]
% 68.49/10.28    : (v1 = v0 |  ~ (less_eq$a(v3, v2) = v1) |  ~ (less_eq$a(v3, v2) = v0)) &  !
% 68.49/10.28    [v0: A_constr_list$] :  ! [v1: A_constr_list$] :  ! [v2: Nat_set$] :  ! [v3:
% 68.49/10.28      A_constr_list$] : (v1 = v0 |  ~ (nths$a(v3, v2) = v1) |  ~ (nths$a(v3, v2) =
% 68.49/10.28        v0)) &  ! [v0: A_TESL_atomic_list$] :  ! [v1: A_TESL_atomic_list$] :  !
% 68.49/10.28    [v2: Nat_set$] :  ! [v3: A_TESL_atomic_list$] : (v1 = v0 |  ~ (nths$(v3, v2) =
% 68.49/10.28        v1) |  ~ (nths$(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 68.49/10.28      MultipleValueBool] :  ! [v2: A_run_set$] :  ! [v3: A_run_set$] : (v1 = v0 | 
% 68.49/10.28      ~ (less_eq$(v3, v2) = v1) |  ~ (less_eq$(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_constr_bool_fun$] :  ! [v1: A_constr_bool_fun$] :  ! [v2: A_constr$] :  !
% 68.49/10.28    [v3: A_constr_a_constr_bool_fun_fun$] : (v1 = v0 |  ~ (fun_app$ad(v3, v2) =
% 68.49/10.28        v1) |  ~ (fun_app$ad(v3, v2) = v0)) &  ! [v0: A_TESL_atomic_bool_fun$] : 
% 68.49/10.28    ! [v1: A_TESL_atomic_bool_fun$] :  ! [v2: A_constr$] :  ! [v3:
% 68.49/10.28      A_constr_a_TESL_atomic_bool_fun_fun$] : (v1 = v0 |  ~ (fun_app$ac(v3, v2) =
% 68.49/10.28        v1) |  ~ (fun_app$ac(v3, v2) = v0)) &  ! [v0: A_constr_bool_fun$] :  !
% 68.49/10.28    [v1: A_constr_bool_fun$] :  ! [v2: A_TESL_atomic$] :  ! [v3:
% 68.49/10.28      A_TESL_atomic_a_constr_bool_fun_fun$] : (v1 = v0 |  ~ (fun_app$ab(v3, v2) =
% 68.49/10.28        v1) |  ~ (fun_app$ab(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v1:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v3:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : (v1 = v0 |  ~ (sup$q(v3,
% 68.49/10.28          v2) = v1) |  ~ (sup$q(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] :  ! [v1:
% 68.49/10.28      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] :  ! [v2:
% 68.49/10.28      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] :  ! [v3:
% 68.49/10.28      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] : (v1 = v0 |  ~
% 68.49/10.28      (sup$p(v3, v2) = v1) |  ~ (sup$p(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$]
% 68.49/10.28    :  ! [v1:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$]
% 68.49/10.28    :  ! [v2:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$]
% 68.49/10.28    :  ! [v3:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$]
% 68.49/10.28    : (v1 = v0 |  ~ (sup$o(v3, v2) = v1) |  ~ (sup$o(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      Nat$] :  ! [v1: Nat$] :  ! [v2: A_constr_list$] :  ! [v3: Nat$] : (v1 = v0 |
% 68.49/10.28       ~ (gen_length$a(v3, v2) = v1) |  ~ (gen_length$a(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      Nat$] :  ! [v1: Nat$] :  ! [v2: A_TESL_atomic_list$] :  ! [v3: Nat$] : (v1 =
% 68.49/10.28      v0 |  ~ (gen_length$(v3, v2) = v1) |  ~ (gen_length$(v3, v2) = v0)) &  !
% 68.49/10.28    [v0: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$] :  ! [v1:
% 68.49/10.28      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_list$] :  ! [v3: Nat$] : (v1 = v0
% 68.49/10.28      |  ~ (enumerate$b(v3, v2) = v1) |  ~ (enumerate$b(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      Nat_a_constr_prod_list$] :  ! [v1: Nat_a_constr_prod_list$] :  ! [v2:
% 68.49/10.28      Nat_a_constr_prod_list$] :  ! [v3: Nat_a_constr_prod$] : (v1 = v0 |  ~
% 68.49/10.28      (cons$h(v3, v2) = v1) |  ~ (cons$h(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      Nat_a_constr_prod_list$] :  ! [v1: Nat_a_constr_prod_list$] :  ! [v2:
% 68.49/10.28      A_constr_list$] :  ! [v3: Nat$] : (v1 = v0 |  ~ (enumerate$a(v3, v2) = v1) |
% 68.49/10.28       ~ (enumerate$a(v3, v2) = v0)) &  ! [v0: Nat_a_TESL_atomic_prod_list$] :  !
% 68.49/10.28    [v1: Nat_a_TESL_atomic_prod_list$] :  ! [v2: Nat_a_TESL_atomic_prod_list$] : 
% 68.49/10.28    ! [v3: Nat_a_TESL_atomic_prod$] : (v1 = v0 |  ~ (cons$g(v3, v2) = v1) |  ~
% 68.49/10.28      (cons$g(v3, v2) = v0)) &  ! [v0: Nat_a_TESL_atomic_prod_list$] :  ! [v1:
% 68.49/10.28      Nat_a_TESL_atomic_prod_list$] :  ! [v2: A_TESL_atomic_list$] :  ! [v3: Nat$]
% 68.49/10.28    : (v1 = v0 |  ~ (enumerate$(v3, v2) = v1) |  ~ (enumerate$(v3, v2) = v0)) &  !
% 68.49/10.28    [v0: A_constr_list$] :  ! [v1: A_constr_list$] :  ! [v2: A_constr_list$] :  !
% 68.49/10.28    [v3: A_constr_list_a_constr_list_fun$] : (v1 = v0 |  ~ (fun_app$aa(v3, v2) =
% 68.49/10.28        v1) |  ~ (fun_app$aa(v3, v2) = v0)) &  ! [v0: A_TESL_atomic_list$] :  !
% 68.49/10.28    [v1: A_TESL_atomic_list$] :  ! [v2: A_TESL_atomic_list$] :  ! [v3:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_fun$] : (v1 = v0 |  ~ (fun_app$z(v3,
% 68.49/10.28          v2) = v1) |  ~ (fun_app$z(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_TESL_atomic_list_nat_prod$] :  ! [v1: A_TESL_atomic_list_nat_prod$] :  !
% 68.49/10.28    [v2: Nat$] :  ! [v3: A_TESL_atomic_list$] : (v1 = v0 |  ~ (pair$r(v3, v2) =
% 68.49/10.28        v1) |  ~ (pair$r(v3, v2) = v0)) &  ! [v0: A_constr_list_bool_fun$] :  !
% 68.49/10.28    [v1: A_constr_list_bool_fun$] :  ! [v2: A_constr_list$] :  ! [v3:
% 68.49/10.28      A_constr_list_a_constr_list_bool_fun_fun$] : (v1 = v0 |  ~ (fun_app$y(v3,
% 68.49/10.28          v2) = v1) |  ~ (fun_app$y(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_TESL_atomic_list_bool_fun$] :  ! [v1: A_TESL_atomic_list_bool_fun$] :  !
% 68.49/10.28    [v2: A_constr_list$] :  ! [v3: A_constr_list_a_TESL_atomic_list_bool_fun_fun$]
% 68.49/10.28    : (v1 = v0 |  ~ (fun_app$x(v3, v2) = v1) |  ~ (fun_app$x(v3, v2) = v0)) &  !
% 68.49/10.28    [v0: A_constr_list_bool_fun$] :  ! [v1: A_constr_list_bool_fun$] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_list$] :  ! [v3:
% 68.49/10.28      A_TESL_atomic_list_a_constr_list_bool_fun_fun$] : (v1 = v0 |  ~
% 68.49/10.28      (fun_app$w(v3, v2) = v1) |  ~ (fun_app$w(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_TESL_atomic_list_list$] :  ! [v1: A_TESL_atomic_list_list$] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_list_list$] :  ! [v3: A_TESL_atomic_list_list$] : (v1 = v0 | 
% 68.49/10.28      ~ (append$b(v3, v2) = v1) |  ~ (append$b(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_list$] :  ! [v1:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_list$] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_list$] :  ! [v3:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod$] : (v1 = v0 |  ~ (cons$e(v3, v2)
% 68.49/10.28        = v1) |  ~ (cons$e(v3, v2) = v0)) &  ! [v0: Nat_list$] :  ! [v1:
% 68.49/10.28      Nat_list$] :  ! [v2: Nat_list$] :  ! [v3: Nat$] : (v1 = v0 |  ~ (cons$f(v3,
% 68.49/10.28          v2) = v1) |  ~ (cons$f(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod$] :  ! [v1:
% 68.49/10.28      Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod$] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_list$] :  ! [v3: Nat_list$] : (v1
% 68.49/10.28      = v0 |  ~ (pair$q(v3, v2) = v1) |  ~ (pair$q(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.28      Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$] :  !
% 68.49/10.28    [v3: Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod$] : (v1 =
% 68.49/10.28      v0 |  ~ (member$r(v3, v2) = v1) |  ~ (member$r(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$] :  ! [v1:
% 68.49/10.28      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$] :  ! [v2:
% 68.49/10.28      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$] :  ! [v3:
% 68.49/10.28      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] : (v1 = v0 |  ~
% 68.49/10.28      (cons$c(v3, v2) = v1) |  ~ (cons$c(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_constr_list_list$] :  ! [v1: A_constr_list_list$] :  ! [v2:
% 68.49/10.28      A_constr_list_list$] :  ! [v3: A_constr_list$] : (v1 = v0 |  ~ (cons$d(v3,
% 68.49/10.28          v2) = v1) |  ~ (cons$d(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod$]
% 68.49/10.28    :  ! [v1:
% 68.49/10.28      A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod$]
% 68.49/10.28    :  ! [v2: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$] :  ! [v3:
% 68.49/10.28      A_constr_list_list$] : (v1 = v0 |  ~ (pair$p(v3, v2) = v1) |  ~ (pair$p(v3,
% 68.49/10.28          v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 68.49/10.28    ! [v2:
% 68.49/10.28      A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod_set$]
% 68.49/10.28    :  ! [v3:
% 68.49/10.28      A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod$]
% 68.49/10.28    : (v1 = v0 |  ~ (member$q(v3, v2) = v1) |  ~ (member$q(v3, v2) = v0)) &  !
% 68.49/10.28    [v0: A_TESL_atomic_a_constr_prod$] :  ! [v1: A_TESL_atomic_a_constr_prod$] : 
% 68.49/10.28    ! [v2: A_constr$] :  ! [v3: A_TESL_atomic$] : (v1 = v0 |  ~ (pair$o(v3, v2) =
% 68.49/10.28        v1) |  ~ (pair$o(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 68.49/10.28      MultipleValueBool] :  ! [v2: A_TESL_atomic_a_constr_prod_set$] :  ! [v3:
% 68.49/10.28      A_TESL_atomic_a_constr_prod$] : (v1 = v0 |  ~ (member$p(v3, v2) = v1) |  ~
% 68.49/10.28      (member$p(v3, v2) = v0)) &  ! [v0: A_TESL_atomic_list_a_constr_list_prod$] :
% 68.49/10.28     ! [v1: A_TESL_atomic_list_a_constr_list_prod$] :  ! [v2: A_constr_list$] :  !
% 68.49/10.28    [v3: A_TESL_atomic_list$] : (v1 = v0 |  ~ (pair$n(v3, v2) = v1) |  ~
% 68.49/10.28      (pair$n(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 68.49/10.28      MultipleValueBool] :  ! [v2: A_TESL_atomic_list_a_constr_list_prod_set$] : 
% 68.49/10.28    ! [v3: A_TESL_atomic_list_a_constr_list_prod$] : (v1 = v0 |  ~ (member$o(v3,
% 68.49/10.28          v2) = v1) |  ~ (member$o(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_constr_a_TESL_atomic_prod$] :  ! [v1: A_constr_a_TESL_atomic_prod$] :  !
% 68.49/10.28    [v2: A_TESL_atomic$] :  ! [v3: A_constr$] : (v1 = v0 |  ~ (pair$m(v3, v2) =
% 68.49/10.28        v1) |  ~ (pair$m(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 68.49/10.28      MultipleValueBool] :  ! [v2: A_constr_a_TESL_atomic_prod_set$] :  ! [v3:
% 68.49/10.28      A_constr_a_TESL_atomic_prod$] : (v1 = v0 |  ~ (member$n(v3, v2) = v1) |  ~
% 68.49/10.28      (member$n(v3, v2) = v0)) &  ! [v0: A_constr_list_a_TESL_atomic_list_prod$] :
% 68.49/10.28     ! [v1: A_constr_list_a_TESL_atomic_list_prod$] :  ! [v2: A_TESL_atomic_list$]
% 68.49/10.28    :  ! [v3: A_constr_list$] : (v1 = v0 |  ~ (pair$l(v3, v2) = v1) |  ~
% 68.49/10.28      (pair$l(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 68.49/10.28      MultipleValueBool] :  ! [v2: A_constr_list_a_TESL_atomic_list_prod_set$] : 
% 68.49/10.28    ! [v3: A_constr_list_a_TESL_atomic_list_prod$] : (v1 = v0 |  ~ (member$m(v3,
% 68.49/10.28          v2) = v1) |  ~ (member$m(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_TESL_atomic_list_list$] :  ! [v1: A_TESL_atomic_list_list$] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_list_list$] :  ! [v3: A_TESL_atomic_list$] : (v1 = v0 |  ~
% 68.49/10.28      (cons$b(v3, v2) = v1) |  ~ (cons$b(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod$] :  ! [v1:
% 68.49/10.28      A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod$] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_list_list$] :  ! [v3: A_TESL_atomic_list_list$] : (v1 = v0 | 
% 68.49/10.28      ~ (pair$k(v3, v2) = v1) |  ~ (pair$k(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] :  ! [v3:
% 68.49/10.28      A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod$] : (v1 = v0 |  ~
% 68.49/10.28      (member$l(v3, v2) = v1) |  ~ (member$l(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_constr_a_constr_prod$] :  ! [v1: A_constr_a_constr_prod$] :  ! [v2:
% 68.49/10.28      A_constr$] :  ! [v3: A_constr$] : (v1 = v0 |  ~ (pair$j(v3, v2) = v1) |  ~
% 68.49/10.28      (pair$j(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 68.49/10.28      MultipleValueBool] :  ! [v2: A_constr_a_constr_prod_set$] :  ! [v3:
% 68.49/10.28      A_constr_a_constr_prod$] : (v1 = v0 |  ~ (member$k(v3, v2) = v1) |  ~
% 68.49/10.28      (member$k(v3, v2) = v0)) &  ! [v0: A_constr_list_a_constr_list_prod$] :  !
% 68.49/10.28    [v1: A_constr_list_a_constr_list_prod$] :  ! [v2: A_constr_list$] :  ! [v3:
% 68.49/10.28      A_constr_list$] : (v1 = v0 |  ~ (pair$i(v3, v2) = v1) |  ~ (pair$i(v3, v2) =
% 68.49/10.28        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.28      A_constr_list_a_constr_list_prod_set$] :  ! [v3:
% 68.49/10.28      A_constr_list_a_constr_list_prod$] : (v1 = v0 |  ~ (member$j(v3, v2) = v1) |
% 68.49/10.28       ~ (member$j(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$]
% 68.49/10.28    :  ! [v1:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$]
% 68.49/10.28    :  ! [v2:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] : 
% 68.49/10.28    ! [v3:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_a_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun_fun$]
% 68.49/10.28    : (v1 = v0 |  ~ (fun_app$v(v3, v2) = v1) |  ~ (fun_app$v(v3, v2) = v0)) &  !
% 68.49/10.28    [v0: A_constr$] :  ! [v1: A_constr$] :  ! [v2: Nat$] :  ! [v3: Clock$] : (v1 =
% 68.49/10.28      v0 |  ~ (notTicksFrom$(v3, v2) = v1) |  ~ (notTicksFrom$(v3, v2) = v0)) &  !
% 68.49/10.28    [v0: A_TESL_atomic$] :  ! [v1: A_TESL_atomic$] :  ! [v2: Clock$] :  ! [v3:
% 68.49/10.28      Clock$] : (v1 = v0 |  ~ (kills$(v3, v2) = v1) |  ~ (kills$(v3, v2) = v0)) & 
% 68.49/10.28    ! [v0: Int_int_fun$] :  ! [v1: Int_int_fun$] :  ! [v2: int] :  ! [v3:
% 68.49/10.28      Int_int_int_fun_fun$] : (v1 = v0 |  ~ (fun_app$u(v3, v2) = v1) |  ~
% 68.49/10.28      (fun_app$u(v3, v2) = v0)) &  ! [v0: int] :  ! [v1: int] :  ! [v2: int] :  !
% 68.49/10.28    [v3: Int_int_fun$] : (v1 = v0 |  ~ (fun_app$t(v3, v2) = v1) |  ~
% 68.49/10.28      (fun_app$t(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun$] :  ! [v1:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun$] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun$] :  ! [v3:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun$] : (v1 = v0 |  ~
% 68.49/10.28      (sup$m(v3, v2) = v1) |  ~ (sup$m(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun$] :  ! [v1:
% 68.49/10.28      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun$] :  ! [v2:
% 68.49/10.28      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun$] :  ! [v3:
% 68.49/10.28      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun$] : (v1 = v0 | 
% 68.49/10.28      ~ (sup$l(v3, v2) = v1) |  ~ (sup$l(v3, v2) = v0)) &  ! [v0: tlbool] :  !
% 68.49/10.28    [v1: tlbool] :  ! [v2: A_run$] :  ! [v3: A_run_bool_fun$] : (v1 = v0 |  ~
% 68.49/10.28      (def_1(v3, v2) = v1) |  ~ (def_1(v3, v2) = v0)) &  ! [v0: tlbool] :  ! [v1:
% 68.49/10.28      tlbool] :  ! [v2: A_run$] :  ! [v3: A_run_bool_fun$] : (v1 = v0 |  ~
% 68.49/10.28      (def_2(v3, v2) = v1) |  ~ (def_2(v3, v2) = v0)) &  ! [v0: MultipleValueBool]
% 68.49/10.28    :  ! [v1: MultipleValueBool] :  ! [v2: tlbool] :  ! [v3: tlbool] : (v1 = v0 | 
% 68.49/10.28      ~ (sup$k(v3, v2) = v1) |  ~ (sup$k(v3, v2) = v0)) &  ! [v0: A_run_bool_fun$]
% 68.49/10.28    :  ! [v1: A_run_bool_fun$] :  ! [v2: A_run_bool_fun$] :  ! [v3:
% 68.49/10.28      A_run_bool_fun$] : (v1 = v0 |  ~ (sup$j(v3, v2) = v1) |  ~ (sup$j(v3, v2) =
% 68.49/10.28        v0)) &  ! [v0: A_TESL_atomic_list_bool_fun$] :  ! [v1:
% 68.49/10.28      A_TESL_atomic_list_bool_fun$] :  ! [v2: A_TESL_atomic_list_bool_fun$] :  !
% 68.49/10.28    [v3: A_TESL_atomic_list_bool_fun$] : (v1 = v0 |  ~ (sup$i(v3, v2) = v1) |  ~
% 68.49/10.28      (sup$i(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$] :  ! [v1:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$] :  ! [v3:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$] : (v1 = v0 |  ~
% 68.49/10.28      (sup$h(v3, v2) = v1) |  ~ (sup$h(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$] :  ! [v1:
% 68.49/10.28      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$] :  ! [v2:
% 68.49/10.28      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$] :  ! [v3:
% 68.49/10.28      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$] : (v1 = v0 | 
% 68.49/10.28      ~ (sup$g(v3, v2) = v1) |  ~ (sup$g(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$]
% 68.49/10.28    :  ! [v1:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$]
% 68.49/10.28    :  ! [v2:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$]
% 68.49/10.28    :  ! [v3:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$]
% 68.49/10.28    : (v1 = v0 |  ~ (sup$f(v3, v2) = v1) |  ~ (sup$f(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      Nat_set$] :  ! [v1: Nat_set$] :  ! [v2: Nat_set$] :  ! [v3: Nat_set$] : (v1
% 68.49/10.28      = v0 |  ~ (sup$e(v3, v2) = v1) |  ~ (sup$e(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_run_list_set$] :  ! [v1: A_run_list_set$] :  ! [v2: A_run_list_set$] :  !
% 68.49/10.28    [v3: A_run_list_set$] : (v1 = v0 |  ~ (sup$d(v3, v2) = v1) |  ~ (sup$d(v3, v2)
% 68.49/10.28        = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.28      A_run_list_set$] :  ! [v3: A_run_list$] : (v1 = v0 |  ~ (member$i(v3, v2) =
% 68.49/10.28        v1) |  ~ (member$i(v3, v2) = v0)) &  ! [v0: A_TESL_atomic_list_set$] :  !
% 68.49/10.28    [v1: A_TESL_atomic_list_set$] :  ! [v2: A_TESL_atomic_list_set$] :  ! [v3:
% 68.49/10.28      A_TESL_atomic_list_set$] : (v1 = v0 |  ~ (sup$c(v3, v2) = v1) |  ~
% 68.49/10.28      (sup$c(v3, v2) = v0)) &  ! [v0: A_constr_list_set$] :  ! [v1:
% 68.49/10.28      A_constr_list_set$] :  ! [v2: A_constr_list_set$] :  ! [v3:
% 68.49/10.28      A_constr_list_set$] : (v1 = v0 |  ~ (sup$b(v3, v2) = v1) |  ~ (sup$b(v3, v2)
% 68.49/10.28        = v0)) &  ! [v0: A_TESL_atomic_set$] :  ! [v1: A_TESL_atomic_set$] :  !
% 68.49/10.28    [v2: A_TESL_atomic_set$] :  ! [v3: A_TESL_atomic_set$] : (v1 = v0 |  ~
% 68.49/10.28      (sup$a(v3, v2) = v1) |  ~ (sup$a(v3, v2) = v0)) &  ! [v0: MultipleValueBool]
% 68.49/10.28    :  ! [v1: MultipleValueBool] :  ! [v2: A_TESL_atomic_set$] :  ! [v3:
% 68.49/10.28      A_TESL_atomic$] : (v1 = v0 |  ~ (member$h(v3, v2) = v1) |  ~ (member$h(v3,
% 68.49/10.28          v2) = v0)) &  ! [v0: A_TESL_atomic$] :  ! [v1: A_TESL_atomic$] :  ! [v2:
% 68.49/10.28      Clock$] :  ! [v3: Clock$] : (v1 = v0 |  ~ (implies$(v3, v2) = v1) |  ~
% 68.49/10.28      (implies$(v3, v2) = v0)) &  ! [v0: A_TESL_atomic$] :  ! [v1: A_TESL_atomic$]
% 68.49/10.28    :  ! [v2: Clock$] :  ! [v3: Clock$] : (v1 = v0 |  ~ (impliesNot$(v3, v2) = v1)
% 68.49/10.28      |  ~ (impliesNot$(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 68.49/10.28      MultipleValueBool] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$] :  ! [v3:
% 68.49/10.28      A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod_bool_fun$]
% 68.49/10.28    : (v1 = v0 |  ~ (fun_app$s(v3, v2) = v1) |  ~ (fun_app$s(v3, v2) = v0)) &  !
% 68.49/10.28    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$]
% 68.49/10.28    :  ! [v3:
% 68.49/10.28      A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$]
% 68.49/10.28    : (v1 = v0 |  ~ (fun_app$r(v3, v2) = v1) |  ~ (fun_app$r(v3, v2) = v0)) &  !
% 68.49/10.28    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.28      A_constr_a_constr_bool_fun_fun_a_constr_list_prod$] :  ! [v3:
% 68.49/10.28      A_constr_a_constr_bool_fun_fun_a_constr_list_prod_bool_fun$] : (v1 = v0 |  ~
% 68.49/10.28      (fun_app$q(v3, v2) = v1) |  ~ (fun_app$q(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.28      Nat_a_TESL_atomic_prod$] :  ! [v3: Nat_a_TESL_atomic_prod_bool_fun$] : (v1 =
% 68.49/10.28      v0 |  ~ (fun_app$p(v3, v2) = v1) |  ~ (fun_app$p(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.28      Nat_a_constr_prod$] :  ! [v3: Nat_a_constr_prod_bool_fun$] : (v1 = v0 |  ~
% 68.49/10.28      (fun_app$o(v3, v2) = v1) |  ~ (fun_app$o(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$] :  ! [v1:
% 68.49/10.28      A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_list$] :  ! [v3: A_TESL_atomic_a_TESL_atomic_bool_fun_fun$] :
% 68.49/10.28    (v1 = v0 |  ~ (pair$h(v3, v2) = v1) |  ~ (pair$h(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$]
% 68.49/10.28    :  ! [v1:
% 68.49/10.28      A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$]
% 68.49/10.28    :  ! [v2: A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ! [v3:
% 68.49/10.28      A_TESL_atomic_a_TESL_atomic_fun$] : (v1 = v0 |  ~ (pair$g(v3, v2) = v1) |  ~
% 68.49/10.28      (pair$g(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_constr_a_constr_bool_fun_fun_a_constr_list_prod$] :  ! [v1:
% 68.49/10.28      A_constr_a_constr_bool_fun_fun_a_constr_list_prod$] :  ! [v2:
% 68.49/10.28      A_constr_list$] :  ! [v3: A_constr_a_constr_bool_fun_fun$] : (v1 = v0 |  ~
% 68.49/10.28      (pair$f(v3, v2) = v1) |  ~ (pair$f(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      Nat_a_TESL_atomic_prod$] :  ! [v1: Nat_a_TESL_atomic_prod$] :  ! [v2:
% 68.49/10.28      A_TESL_atomic$] :  ! [v3: Nat$] : (v1 = v0 |  ~ (pair$e(v3, v2) = v1) |  ~
% 68.49/10.28      (pair$e(v3, v2) = v0)) &  ! [v0: Nat_a_constr_prod$] :  ! [v1:
% 68.49/10.28      Nat_a_constr_prod$] :  ! [v2: A_constr$] :  ! [v3: Nat$] : (v1 = v0 |  ~
% 68.49/10.28      (pair$d(v3, v2) = v1) |  ~ (pair$d(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] : 
% 68.49/10.28    ! [v3:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$]
% 68.49/10.28    : (v1 = v0 |  ~ (fun_app$n(v3, v2) = v1) |  ~ (fun_app$n(v3, v2) = v0)) &  !
% 68.49/10.28    [v0: A_constr$] :  ! [v1: A_constr$] :  ! [v2: Nat$] :  ! [v3: Clock$] : (v1 =
% 68.49/10.28      v0 |  ~ (notTicks$(v3, v2) = v1) |  ~ (notTicks$(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_run_set_a_run_set_fun$] :  ! [v1: A_run_set_a_run_set_fun$] :  ! [v2:
% 68.49/10.28      A_run_set$] :  ! [v3: A_run_set_a_run_set_a_run_set_fun_fun$] : (v1 = v0 | 
% 68.49/10.28      ~ (fun_app$m(v3, v2) = v1) |  ~ (fun_app$m(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_constr$] :  ! [v1: A_constr$] :  ! [v2: Nat$] :  ! [v3: Clock$] : (v1 = v0
% 68.49/10.28      |  ~ (ticks$(v3, v2) = v1) |  ~ (ticks$(v3, v2) = v0)) &  ! [v0: A_run_set$]
% 68.49/10.28    :  ! [v1: A_run_set$] :  ! [v2: A_run_set$] :  ! [v3:
% 68.49/10.28      A_run_set_a_run_set_fun$] : (v1 = v0 |  ~ (fun_app$l(v3, v2) = v1) |  ~
% 68.49/10.28      (fun_app$l(v3, v2) = v0)) &  ! [v0: A_run_bool_fun$] :  ! [v1:
% 68.49/10.28      A_run_bool_fun$] :  ! [v2: A_run_bool_fun$] :  ! [v3: A_run_bool_fun$] : (v1
% 68.49/10.28      = v0 |  ~ (uud$(v3, v2) = v1) |  ~ (uud$(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_TESL_atomic_list_bool_fun$] :  ! [v1: A_TESL_atomic_list_bool_fun$] :  !
% 68.49/10.28    [v2: A_TESL_atomic$] :  ! [v3: A_TESL_atomic_list_set$] : (v1 = v0 |  ~
% 68.49/10.28      (uum$(v3, v2) = v1) |  ~ (uum$(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_constr_list_bool_fun$] :  ! [v1: A_constr_list_bool_fun$] :  ! [v2:
% 68.49/10.28      A_constr$] :  ! [v3: A_constr_list_set$] : (v1 = v0 |  ~ (uun$(v3, v2) = v1)
% 68.49/10.28      |  ~ (uun$(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 68.49/10.28      MultipleValueBool] :  ! [v2: A_constr_list$] :  ! [v3:
% 68.49/10.28      A_constr_list_bool_fun$] : (v1 = v0 |  ~ (fun_app$k(v3, v2) = v1) |  ~
% 68.49/10.28      (fun_app$k(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun$] :  ! [v1:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun$] :  ! [v2: Nat$] :  !
% 68.49/10.28    [v3: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun$] : (v1 = v0
% 68.49/10.28      |  ~ (fun_app$j(v3, v2) = v1) |  ~ (fun_app$j(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ! [v3:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun$] : (v1 = v0 |  ~
% 68.49/10.28      (fun_app$i(v3, v2) = v1) |  ~ (fun_app$i(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ! [v1:
% 68.49/10.28      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ! [v3: Nat$] : (v1 = v0 |  ~
% 68.49/10.28      (pair$c(v3, v2) = v1) |  ~ (pair$c(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.28      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] :  ! [v3:
% 68.49/10.28      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] : (v1 = v0 |  ~
% 68.49/10.28      (member$g(v3, v2) = v1) |  ~ (member$g(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_TESL_atomic_list_bool_fun$] :  ! [v1: A_TESL_atomic_list_bool_fun$] :  !
% 68.49/10.28    [v2: A_TESL_atomic_list$] :  ! [v3:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$] : (v1 = v0 |  ~
% 68.49/10.28      (fun_app$h(v3, v2) = v1) |  ~ (fun_app$h(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_list$] :  ! [v3: A_TESL_atomic_list_bool_fun$] : (v1 = v0 |  ~
% 68.49/10.28      (fun_app$g(v3, v2) = v1) |  ~ (fun_app$g(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ! [v1:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ! [v2: A_TESL_atomic_list$]
% 68.49/10.28    :  ! [v3: A_TESL_atomic_list$] : (v1 = v0 |  ~ (pair$b(v3, v2) = v1) |  ~
% 68.49/10.28      (pair$b(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 68.49/10.28      MultipleValueBool] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v3:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod$] : (v1 = v0 |  ~ (member$f(v3,
% 68.49/10.28          v2) = v1) |  ~ (member$f(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$] :  ! [v1:
% 68.49/10.28      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$] :  ! [v2:
% 68.49/10.28      A_constr_list$] :  ! [v3:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$]
% 68.49/10.28    : (v1 = v0 |  ~ (fun_app$f(v3, v2) = v1) |  ~ (fun_app$f(v3, v2) = v0)) &  !
% 68.49/10.28    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.28      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ! [v3:
% 68.49/10.28      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$] : (v1 = v0 | 
% 68.49/10.28      ~ (fun_app$e(v3, v2) = v1) |  ~ (fun_app$e(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] : 
% 68.49/10.28    ! [v1:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] : 
% 68.49/10.28    ! [v2: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ! [v3:
% 68.49/10.28      A_constr_list$] : (v1 = v0 |  ~ (pair$a(v3, v2) = v1) |  ~ (pair$a(v3, v2) =
% 68.49/10.28        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$]
% 68.49/10.28    :  ! [v3:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] :
% 68.49/10.28    (v1 = v0 |  ~ (member$e(v3, v2) = v1) |  ~ (member$e(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_TESL_atomic_bool_fun$] :  ! [v1: A_TESL_atomic_bool_fun$] :  ! [v2:
% 68.49/10.28      A_TESL_atomic$] :  ! [v3: A_TESL_atomic_a_TESL_atomic_bool_fun_fun$] : (v1 =
% 68.49/10.28      v0 |  ~ (fun_app$d(v3, v2) = v1) |  ~ (fun_app$d(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_TESL_atomic_a_TESL_atomic_prod$] :  ! [v1:
% 68.49/10.28      A_TESL_atomic_a_TESL_atomic_prod$] :  ! [v2: A_TESL_atomic$] :  ! [v3:
% 68.49/10.28      A_TESL_atomic$] : (v1 = v0 |  ~ (pair$(v3, v2) = v1) |  ~ (pair$(v3, v2) =
% 68.49/10.28        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_a_TESL_atomic_prod_set$] :  ! [v3:
% 68.49/10.28      A_TESL_atomic_a_TESL_atomic_prod$] : (v1 = v0 |  ~ (member$d(v3, v2) = v1) |
% 68.49/10.28       ~ (member$d(v3, v2) = v0)) &  ! [v0: A_run_bool_fun$] :  ! [v1:
% 68.49/10.28      A_run_bool_fun$] :  ! [v2: A_run_bool_fun$] :  ! [v3: A_run_set$] : (v1 = v0
% 68.49/10.28      |  ~ (uuh$(v3, v2) = v1) |  ~ (uuh$(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_run_bool_fun$] :  ! [v1: A_run_bool_fun$] :  ! [v2: A_run_set$] :  ! [v3:
% 68.49/10.28      A_run$] : (v1 = v0 |  ~ (uuj$(v3, v2) = v1) |  ~ (uuj$(v3, v2) = v0)) &  !
% 68.49/10.28    [v0: A_run_bool_fun$] :  ! [v1: A_run_bool_fun$] :  ! [v2: A_run_set$] :  !
% 68.49/10.28    [v3: A_run_set$] : (v1 = v0 |  ~ (uue$(v3, v2) = v1) |  ~ (uue$(v3, v2) = v0))
% 68.49/10.28    &  ! [v0: A_TESL_atomic_list$] :  ! [v1: A_TESL_atomic_list$] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_list$] :  ! [v3: A_TESL_atomic$] : (v1 = v0 |  ~ (cons$a(v3,
% 68.49/10.28          v2) = v1) |  ~ (cons$a(v3, v2) = v0)) &  ! [v0: A_TESL_atomic_list$] : 
% 68.49/10.28    ! [v1: A_TESL_atomic_list$] :  ! [v2: A_TESL_atomic_list$] :  ! [v3:
% 68.49/10.28      A_TESL_atomic_list$] : (v1 = v0 |  ~ (append$a(v3, v2) = v1) |  ~
% 68.49/10.28      (append$a(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 68.49/10.28      MultipleValueBool] :  ! [v2: A_TESL_atomic_list_set$] :  ! [v3:
% 68.49/10.28      A_TESL_atomic_list$] : (v1 = v0 |  ~ (member$c(v3, v2) = v1) |  ~
% 68.49/10.28      (member$c(v3, v2) = v0)) &  ! [v0: A_TESL_atomic_bool_fun$] :  ! [v1:
% 68.49/10.28      A_TESL_atomic_bool_fun$] :  ! [v2: A_TESL_atomic_list$] :  ! [v3:
% 68.49/10.28      A_TESL_atomic_list_set$] : (v1 = v0 |  ~ (uuk$(v3, v2) = v1) |  ~ (uuk$(v3,
% 68.49/10.28          v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 68.49/10.28    ! [v2: A_TESL_atomic$] :  ! [v3: A_TESL_atomic_bool_fun$] : (v1 = v0 |  ~
% 68.49/10.28      (fun_app$c(v3, v2) = v1) |  ~ (fun_app$c(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_constr_list$] :  ! [v1: A_constr_list$] :  ! [v2: A_constr_list$] :  !
% 68.49/10.28    [v3: A_constr$] : (v1 = v0 |  ~ (cons$(v3, v2) = v1) |  ~ (cons$(v3, v2) =
% 68.49/10.28        v0)) &  ! [v0: A_constr_list$] :  ! [v1: A_constr_list$] :  ! [v2:
% 68.49/10.28      A_constr_list$] :  ! [v3: A_constr_list$] : (v1 = v0 |  ~ (append$(v3, v2) =
% 68.49/10.28        v1) |  ~ (append$(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 68.49/10.28      MultipleValueBool] :  ! [v2: A_constr_list_set$] :  ! [v3: A_constr_list$] :
% 68.49/10.28    (v1 = v0 |  ~ (member$b(v3, v2) = v1) |  ~ (member$b(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      A_constr_bool_fun$] :  ! [v1: A_constr_bool_fun$] :  ! [v2: A_constr_list$]
% 68.49/10.28    :  ! [v3: A_constr_list_set$] : (v1 = v0 |  ~ (uul$(v3, v2) = v1) |  ~
% 68.49/10.28      (uul$(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 68.49/10.28      MultipleValueBool] :  ! [v2: A_constr$] :  ! [v3: A_constr_bool_fun$] : (v1
% 68.49/10.28      = v0 |  ~ (fun_app$b(v3, v2) = v1) |  ~ (fun_app$b(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: A_run$] :  ! [v3:
% 68.49/10.28      A_run_bool_fun$] : (v1 = v0 |  ~ (fun_app$a(v3, v2) = v1) |  ~
% 68.49/10.28      (fun_app$a(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 68.49/10.28      MultipleValueBool] :  ! [v2: A_run_set$] :  ! [v3: A_run$] : (v1 = v0 |  ~
% 68.49/10.28      (member$a(v3, v2) = v1) |  ~ (member$a(v3, v2) = v0)) &  ! [v0:
% 68.49/10.28      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: Nat_set$] :  !
% 68.49/10.28    [v3: Nat$] : (v1 = v0 |  ~ (member$(v3, v2) = v1) |  ~ (member$(v3, v2) = v0))
% 68.49/10.28    &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: Nat$] :  !
% 68.49/10.28    [v3: Nat_bool_fun$] : (v1 = v0 |  ~ (fun_app$(v3, v2) = v1) |  ~ (fun_app$(v3,
% 68.49/10.28          v2) = v0)) &  ! [v0: A_constr_list_set$] :  ! [v1: A_constr_list_set$] :
% 68.49/10.28     ! [v2: A_constr_list_bool_fun$] : (v1 = v0 |  ~ (collect$f(v2) = v1) |  ~
% 68.49/10.28      (collect$f(v2) = v0)) &  ! [v0: A_TESL_atomic_list_set$] :  ! [v1:
% 68.49/10.28      A_TESL_atomic_list_set$] :  ! [v2: A_TESL_atomic_list_bool_fun$] : (v1 = v0
% 68.49/10.28      |  ~ (collect$e(v2) = v1) |  ~ (collect$e(v2) = v0)) &  ! [v0:
% 68.49/10.28      A_constr_set$] :  ! [v1: A_constr_set$] :  ! [v2: A_constr_bool_fun$] : (v1
% 68.49/10.28      = v0 |  ~ (collect$d(v2) = v1) |  ~ (collect$d(v2) = v0)) &  ! [v0:
% 68.49/10.28      A_TESL_atomic_set$] :  ! [v1: A_TESL_atomic_set$] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_bool_fun$] : (v1 = v0 |  ~ (collect$c(v2) = v1) |  ~
% 68.49/10.28      (collect$c(v2) = v0)) &  ! [v0: A_run_set$] :  ! [v1: A_run_set$] :  ! [v2:
% 68.49/10.28      A_run_a_run_prod_set$] : (v1 = v0 |  ~ (field$a(v2) = v1) |  ~ (field$a(v2)
% 68.49/10.28        = v0)) &  ! [v0: A_TESL_atomic_list_set$] :  ! [v1:
% 68.49/10.28      A_TESL_atomic_list_set$] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : (v1 = v0 |  ~ (field$(v2)
% 68.49/10.28        = v1) |  ~ (field$(v2) = v0)) &  ! [v0: A_constr_list_bool_fun$] :  ! [v1:
% 68.49/10.28      A_constr_list_bool_fun$] :  ! [v2: A_constr$] : (v1 = v0 |  ~
% 68.49/10.28      (context_independency$(v2) = v1) |  ~ (context_independency$(v2) = v0)) &  !
% 68.49/10.28    [v0: A_constr$] :  ! [v1: A_constr$] :  ! [v2: A_constr_set$] : (v1 = v0 |  ~
% 68.49/10.28      (the_elem$a(v2) = v1) |  ~ (the_elem$a(v2) = v0)) &  ! [v0: A_TESL_atomic$]
% 68.49/10.28    :  ! [v1: A_TESL_atomic$] :  ! [v2: A_TESL_atomic_set$] : (v1 = v0 |  ~
% 68.49/10.28      (the_elem$(v2) = v1) |  ~ (the_elem$(v2) = v0)) &  ! [v0: MultipleValueBool]
% 68.49/10.28    :  ! [v1: MultipleValueBool] :  ! [v2: A_run_set$] : (v1 = v0 |  ~
% 68.49/10.28      (is_singleton$(v2) = v1) |  ~ (is_singleton$(v2) = v0)) &  ! [v0:
% 68.49/10.28      A_constr_list_list$] :  ! [v1: A_constr_list_list$] :  ! [v2:
% 68.49/10.28      A_constr_list$] : (v1 = v0 |  ~ (subseqs$a(v2) = v1) |  ~ (subseqs$a(v2) =
% 68.49/10.28        v0)) &  ! [v0: A_constr_list_set$] :  ! [v1: A_constr_list_set$] :  ! [v2:
% 68.49/10.28      A_constr_list_list$] : (v1 = v0 |  ~ (set$d(v2) = v1) |  ~ (set$d(v2) = v0))
% 68.49/10.28    &  ! [v0: A_TESL_atomic_list_list$] :  ! [v1: A_TESL_atomic_list_list$] :  !
% 68.49/10.28    [v2: A_TESL_atomic_list$] : (v1 = v0 |  ~ (subseqs$(v2) = v1) |  ~
% 68.49/10.28      (subseqs$(v2) = v0)) &  ! [v0: A_TESL_atomic_list_set$] :  ! [v1:
% 68.49/10.28      A_TESL_atomic_list_set$] :  ! [v2: A_TESL_atomic_list_list$] : (v1 = v0 |  ~
% 68.49/10.28      (set$c(v2) = v1) |  ~ (set$c(v2) = v0)) &  ! [v0:
% 68.49/10.28      A_run_list_a_run_list_prod_set$] :  ! [v1: A_run_list_a_run_list_prod_set$]
% 68.49/10.28    :  ! [v2: A_run_a_run_prod_set$] : (v1 = v0 |  ~ (lexord$c(v2) = v1) |  ~
% 68.49/10.28      (lexord$c(v2) = v0)) &  ! [v0: A_constr_set$] :  ! [v1: A_constr_set$] :  !
% 68.49/10.28    [v2: A_constr_list$] : (v1 = v0 |  ~ (set$b(v2) = v1) |  ~ (set$b(v2) = v0)) &
% 68.49/10.28     ! [v0: A_run_set$] :  ! [v1: A_run_set$] :  ! [v2: A_run_list$] : (v1 = v0 | 
% 68.49/10.28      ~ (set$a(v2) = v1) |  ~ (set$a(v2) = v0)) &  ! [v0: A_TESL_atomic_set$] :  !
% 68.49/10.28    [v1: A_TESL_atomic_set$] :  ! [v2: A_TESL_atomic_list$] : (v1 = v0 |  ~
% 68.49/10.28      (set$(v2) = v1) |  ~ (set$(v2) = v0)) &  ! [v0:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$]
% 68.49/10.28    :  ! [v1:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$]
% 68.49/10.28    :  ! [v2:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$]
% 68.49/10.28    : (v1 = v0 |  ~ (collect$b(v2) = v1) |  ~ (collect$b(v2) = v0)) &  ! [v0:
% 68.49/10.28      Nat_set$] :  ! [v1: Nat_set$] :  ! [v2: Nat_bool_fun$] : (v1 = v0 |  ~
% 68.49/10.28      (collect$a(v2) = v1) |  ~ (collect$a(v2) = v0)) &  ! [v0:
% 68.49/10.28      A_constr_list_a_constr_list_bool_fun_fun$] :  ! [v1:
% 68.49/10.28      A_constr_list_a_constr_list_bool_fun_fun$] :  ! [v2:
% 68.49/10.28      A_constr_a_constr_bool_fun_fun$] : (v1 = v0 |  ~ (listrelp$f(v2) = v1) |  ~
% 68.49/10.28      (listrelp$f(v2) = v0)) &  ! [v0:
% 68.49/10.28      A_constr_list_a_TESL_atomic_list_bool_fun_fun$] :  ! [v1:
% 68.49/10.28      A_constr_list_a_TESL_atomic_list_bool_fun_fun$] :  ! [v2:
% 68.49/10.28      A_constr_a_TESL_atomic_bool_fun_fun$] : (v1 = v0 |  ~ (listrelp$e(v2) = v1)
% 68.49/10.28      |  ~ (listrelp$e(v2) = v0)) &  ! [v0:
% 68.49/10.28      A_TESL_atomic_list_a_constr_list_bool_fun_fun$] :  ! [v1:
% 68.49/10.28      A_TESL_atomic_list_a_constr_list_bool_fun_fun$] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_a_constr_bool_fun_fun$] : (v1 = v0 |  ~ (listrelp$d(v2) = v1)
% 68.49/10.28      |  ~ (listrelp$d(v2) = v0)) &  ! [v0: A_run_set$] :  ! [v1: A_run_set$] :  !
% 68.49/10.28    [v2: A_TESL_atomic_list$] : (v1 = v0 |  ~ (tESL_interpretation$(v2) = v1) |  ~
% 68.49/10.28      (tESL_interpretation$(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 68.49/10.28      MultipleValueBool] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$] : (v1 = v0 |  ~
% 68.49/10.28      (irreflp$(v2) = v1) |  ~ (irreflp$(v2) = v0)) &  ! [v0:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$] :  ! [v1:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_a_TESL_atomic_bool_fun_fun$] : (v1 = v0 |  ~ (listrelp$(v2) =
% 68.49/10.28        v1) |  ~ (listrelp$(v2) = v0)) &  ! [v0:
% 68.49/10.28      A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] :  ! [v1:
% 68.49/10.28      A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : (v1 = v0 |  ~
% 68.49/10.28      (lenlex$a(v2) = v1) |  ~ (lenlex$a(v2) = v0)) &  ! [v0:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v1:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_a_TESL_atomic_prod_set$] : (v1 = v0 |  ~ (lenlex$(v2) = v1) | 
% 68.49/10.28      ~ (lenlex$(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 68.49/10.28      MultipleValueBool] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : (v1 = v0 |  ~
% 68.49/10.28      (irrefl$a(v2) = v1) |  ~ (irrefl$a(v2) = v0)) &  ! [v0:
% 68.49/10.28      A_constr_list_a_constr_list_fun$] :  ! [v1:
% 68.49/10.28      A_constr_list_a_constr_list_fun$] :  ! [v2: A_constr$] : (v1 = v0 |  ~
% 68.49/10.28      (insert$a(v2) = v1) |  ~ (insert$a(v2) = v0)) &  ! [v0:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_fun$] :  ! [v1:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_fun$] :  ! [v2: A_TESL_atomic$] : (v1
% 68.49/10.28      = v0 |  ~ (insert$(v2) = v1) |  ~ (insert$(v2) = v0)) &  ! [v0:
% 68.49/10.28      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_a_TESL_atomic_prod_set$] : (v1 = v0 |  ~ (irrefl$(v2) = v1) | 
% 68.49/10.28      ~ (irrefl$(v2) = v0)) &  ! [v0:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v1:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_a_TESL_atomic_prod_set$] : (v1 = v0 |  ~ (listrel$f(v2) = v1)
% 68.49/10.28      |  ~ (listrel$f(v2) = v0)) &  ! [v0:
% 68.49/10.28      A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] :  ! [v1:
% 68.49/10.28      A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : (v1 = v0 |  ~
% 68.49/10.28      (listrel$e(v2) = v1) |  ~ (listrel$e(v2) = v0)) &  ! [v0:
% 68.49/10.28      Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$] :  !
% 68.49/10.28    [v1: Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$] :  !
% 68.49/10.28    [v2: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] : (v1 = v0 |  ~
% 68.49/10.28      (listrel$d(v2) = v1) |  ~ (listrel$d(v2) = v0)) &  ! [v0:
% 68.49/10.28      A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod_set$]
% 68.49/10.28    :  ! [v1:
% 68.49/10.28      A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod_set$]
% 68.49/10.28    :  ! [v2:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$]
% 68.49/10.28    : (v1 = v0 |  ~ (listrel$c(v2) = v1) |  ~ (listrel$c(v2) = v0)) &  ! [v0:
% 68.49/10.28      A_constr_list_a_constr_list_prod_set$] :  ! [v1:
% 68.49/10.28      A_constr_list_a_constr_list_prod_set$] :  ! [v2:
% 68.49/10.28      A_constr_a_constr_prod_set$] : (v1 = v0 |  ~ (listrel$b(v2) = v1) |  ~
% 68.49/10.28      (listrel$b(v2) = v0)) &  ! [v0: A_TESL_atomic_list_a_constr_list_prod_set$]
% 68.49/10.28    :  ! [v1: A_TESL_atomic_list_a_constr_list_prod_set$] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_a_constr_prod_set$] : (v1 = v0 |  ~ (listrel$a(v2) = v1) |  ~
% 68.49/10.28      (listrel$a(v2) = v0)) &  ! [v0: A_constr_list_a_TESL_atomic_list_prod_set$]
% 68.49/10.28    :  ! [v1: A_constr_list_a_TESL_atomic_list_prod_set$] :  ! [v2:
% 68.49/10.28      A_constr_a_TESL_atomic_prod_set$] : (v1 = v0 |  ~ (listrel$(v2) = v1) |  ~
% 68.49/10.28      (listrel$(v2) = v0)) &  ! [v0:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v1:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_a_TESL_atomic_prod_set$] : (v1 = v0 |  ~ (listrel1$b(v2) = v1)
% 68.49/10.28      |  ~ (listrel1$b(v2) = v0)) &  ! [v0:
% 68.49/10.28      A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] :  ! [v1:
% 68.49/10.28      A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : (v1 = v0 |  ~
% 68.49/10.28      (listrel1$a(v2) = v1) |  ~ (listrel1$a(v2) = v0)) &  ! [v0:
% 68.49/10.28      A_constr_list_a_constr_list_prod_set$] :  ! [v1:
% 68.49/10.28      A_constr_list_a_constr_list_prod_set$] :  ! [v2:
% 68.49/10.28      A_constr_a_constr_prod_set$] : (v1 = v0 |  ~ (listrel1$(v2) = v1) |  ~
% 68.49/10.28      (listrel1$(v2) = v0)) &  ! [v0:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v1:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_a_TESL_atomic_prod_set$] : (v1 = v0 |  ~ (lexord$b(v2) = v1) |
% 68.49/10.28       ~ (lexord$b(v2) = v0)) &  ! [v0:
% 68.49/10.28      A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] :  ! [v1:
% 68.49/10.28      A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] :  ! [v2:
% 68.49/10.28      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : (v1 = v0 |  ~
% 68.49/10.28      (lexord$a(v2) = v1) |  ~ (lexord$a(v2) = v0)) &  ! [v0:
% 68.49/10.28      A_constr_list_a_constr_list_prod_set$] :  ! [v1:
% 68.49/10.28      A_constr_list_a_constr_list_prod_set$] :  ! [v2:
% 68.49/10.28      A_constr_a_constr_prod_set$] : (v1 = v0 |  ~ (lexord$(v2) = v1) |  ~
% 68.49/10.28      (lexord$(v2) = v0)) &  ! [v0:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$]
% 68.49/10.28    :  ! [v1:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$]
% 68.49/10.28    :  ! [v2:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] :
% 68.49/10.28    (v1 = v0 |  ~ (operational_semantics_intro$(v2) = v1) |  ~
% 68.49/10.28      (operational_semantics_intro$(v2) = v0)) &  ! [v0: A_run_set$] :  ! [v1:
% 68.49/10.28      A_run_set$] :  ! [v2: A_run_bool_fun$] : (v1 = v0 |  ~ (collect$(v2) = v1) |
% 68.49/10.28       ~ (collect$(v2) = v0)) &  ! [v0:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$]
% 68.49/10.28    :  ! [v1:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$]
% 68.49/10.28    :  ! [v2:
% 68.49/10.28      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] :
% 68.49/10.28    (v1 = v0 |  ~ (operational_semantics_elim$(v2) = v1) |  ~
% 68.49/10.28      (operational_semantics_elim$(v2) = v0)) &  ! [v0: A_run_set$] :  ! [v1:
% 68.49/10.29      A_run_set$] :  ! [v2:
% 68.49/10.29      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] :
% 68.49/10.29    (v1 = v0 |  ~ (heronConf_interpretation$(v2) = v1) |  ~
% 68.49/10.29      (heronConf_interpretation$(v2) = v0)) &  ! [v0:
% 68.49/10.29      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun$] :  ! [v1:
% 68.49/10.29      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun_fun$] :  ! [v2:
% 68.49/10.29      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] : (v1 = v0 |  ~
% 68.49/10.29      (uub$(v2) = v1) |  ~ (uub$(v2) = v0)) &  ! [v0:
% 68.49/10.29      A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$] :  ! [v1:
% 68.49/10.29      A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$] :  ! [v2:
% 68.49/10.29      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : (v1 = v0 |  ~ (uuc$(v2) =
% 68.49/10.29        v1) |  ~ (uuc$(v2) = v0)) &  ! [v0:
% 68.49/10.29      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$]
% 68.49/10.29    :  ! [v1:
% 68.49/10.29      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$]
% 68.49/10.29    :  ! [v2:
% 68.49/10.29      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$]
% 68.49/10.29    : (v1 = v0 |  ~ (uua$(v2) = v1) |  ~ (uua$(v2) = v0)) &  ! [v0:
% 68.49/10.29      A_TESL_atomic_a_TESL_atomic_bool_fun_fun$] :  ! [v1:
% 68.49/10.29      A_TESL_atomic_a_TESL_atomic_bool_fun_fun$] :  ! [v2:
% 68.49/10.29      A_TESL_atomic_a_TESL_atomic_prod_set$] : (v1 = v0 |  ~ (uuf$(v2) = v1) |  ~
% 68.49/10.29      (uuf$(v2) = v0)) &  ! [v0: A_run_bool_fun$] :  ! [v1: A_run_bool_fun$] :  !
% 68.49/10.29    [v2: A_run$] : (v1 = v0 |  ~ (uui$(v2) = v1) |  ~ (uui$(v2) = v0)) &  ! [v0:
% 68.49/10.29      A_run_bool_fun$] :  ! [v1: A_run_bool_fun$] :  ! [v2: A_run_set$] : (v1 = v0
% 68.49/10.29      |  ~ (uu$(v2) = v1) |  ~ (uu$(v2) = v0)) &  ! [v0: int] :  ! [v1: int] :  !
% 68.49/10.29    [v2: Nat$] : (v1 = v0 |  ~ (of_nat$(v2) = v1) |  ~ (of_nat$(v2) = v0)) &  !
% 68.49/10.29    [v0: Nat$] :  ! [v1: Nat$] :  ! [v2: int] : (v1 = v0 |  ~ (nat$(v2) = v1) |  ~
% 68.49/10.29      (nat$(v2) = v0)) &  ! [v0: Nat_bool_fun$] :  ! [v1: Nat_bool_fun$] :  ! [v2:
% 68.49/10.29      Nat_set$] : (v1 = v0 |  ~ (uug$(v2) = v1) |  ~ (uug$(v2) = v0))
% 68.49/10.29  
% 68.49/10.29  Further assumptions not needed in the proof:
% 68.49/10.29  --------------------------------------------
% 68.49/10.29  axiom0, axiom1, axiom10, axiom100, axiom101, axiom102, axiom103, axiom104,
% 68.49/10.29  axiom105, axiom106, axiom107, axiom108, axiom109, axiom11, axiom110, axiom111,
% 68.49/10.29  axiom112, axiom113, axiom114, axiom115, axiom116, axiom117, axiom118, axiom119,
% 68.49/10.29  axiom12, axiom120, axiom121, axiom122, axiom123, axiom124, axiom125, axiom126,
% 68.49/10.29  axiom127, axiom128, axiom129, axiom13, axiom130, axiom131, axiom132, axiom133,
% 68.49/10.29  axiom134, axiom135, axiom136, axiom137, axiom138, axiom139, axiom14, axiom140,
% 68.49/10.29  axiom141, axiom142, axiom143, axiom144, axiom145, axiom146, axiom147, axiom148,
% 68.49/10.29  axiom149, axiom150, axiom151, axiom152, axiom153, axiom154, axiom155, axiom156,
% 68.49/10.29  axiom157, axiom158, axiom159, axiom16, axiom160, axiom161, axiom162, axiom163,
% 68.49/10.29  axiom164, axiom165, axiom166, axiom167, axiom168, axiom169, axiom170, axiom171,
% 68.49/10.29  axiom172, axiom173, axiom174, axiom175, axiom176, axiom177, axiom178, axiom179,
% 68.49/10.29  axiom18, axiom180, axiom181, axiom182, axiom183, axiom184, axiom185, axiom186,
% 68.49/10.29  axiom187, axiom188, axiom189, axiom190, axiom191, axiom192, axiom193, axiom194,
% 68.49/10.29  axiom195, axiom196, axiom197, axiom198, axiom199, axiom2, axiom20, axiom200,
% 68.49/10.29  axiom201, axiom202, axiom203, axiom204, axiom205, axiom206, axiom207, axiom208,
% 68.49/10.29  axiom209, axiom21, axiom210, axiom211, axiom212, axiom213, axiom214, axiom215,
% 68.49/10.29  axiom216, axiom217, axiom218, axiom219, axiom22, axiom220, axiom221, axiom222,
% 68.49/10.29  axiom223, axiom224, axiom225, axiom226, axiom227, axiom228, axiom229, axiom23,
% 68.49/10.29  axiom230, axiom231, axiom232, axiom233, axiom234, axiom235, axiom236, axiom237,
% 68.49/10.29  axiom238, axiom239, axiom24, axiom240, axiom241, axiom242, axiom243, axiom244,
% 68.49/10.29  axiom245, axiom246, axiom247, axiom248, axiom249, axiom25, axiom250, axiom251,
% 68.49/10.29  axiom252, axiom253, axiom254, axiom255, axiom256, axiom257, axiom258, axiom259,
% 68.49/10.29  axiom26, axiom260, axiom261, axiom262, axiom263, axiom264, axiom265, axiom266,
% 68.49/10.29  axiom267, axiom268, axiom269, axiom27, axiom270, axiom271, axiom272, axiom273,
% 68.49/10.29  axiom274, axiom275, axiom276, axiom277, axiom278, axiom279, axiom28, axiom280,
% 68.49/10.29  axiom281, axiom282, axiom283, axiom284, axiom285, axiom286, axiom287, axiom288,
% 68.49/10.29  axiom289, axiom29, axiom290, axiom291, axiom292, axiom293, axiom294, axiom295,
% 68.49/10.29  axiom296, axiom297, axiom298, axiom299, axiom3, axiom30, axiom300, axiom301,
% 68.49/10.29  axiom302, axiom303, axiom304, axiom305, axiom306, axiom307, axiom308, axiom309,
% 68.49/10.29  axiom31, axiom310, axiom311, axiom312, axiom313, axiom314, axiom315, axiom316,
% 68.49/10.29  axiom317, axiom318, axiom319, axiom32, axiom320, axiom321, axiom322, axiom323,
% 68.49/10.29  axiom324, axiom325, axiom326, axiom327, axiom328, axiom329, axiom33, axiom330,
% 68.49/10.29  axiom331, axiom332, axiom333, axiom334, axiom335, axiom336, axiom337, axiom338,
% 68.49/10.29  axiom339, axiom34, axiom340, axiom341, axiom342, axiom343, axiom344, axiom345,
% 68.49/10.29  axiom346, axiom347, axiom348, axiom349, axiom35, axiom350, axiom351, axiom352,
% 68.49/10.29  axiom353, axiom354, axiom355, axiom356, axiom357, axiom358, axiom359, axiom36,
% 68.49/10.29  axiom360, axiom361, axiom362, axiom363, axiom364, axiom365, axiom366, axiom367,
% 68.49/10.29  axiom368, axiom369, axiom37, axiom370, axiom371, axiom372, axiom373, axiom374,
% 68.49/10.29  axiom375, axiom376, axiom377, axiom378, axiom379, axiom38, axiom380, axiom381,
% 68.49/10.29  axiom382, axiom383, axiom384, axiom385, axiom386, axiom387, axiom388, axiom389,
% 68.49/10.29  axiom39, axiom390, axiom391, axiom392, axiom393, axiom394, axiom395, axiom396,
% 68.49/10.29  axiom397, axiom398, axiom399, axiom4, axiom40, axiom400, axiom401, axiom402,
% 68.49/10.29  axiom403, axiom404, axiom405, axiom406, axiom407, axiom408, axiom409, axiom41,
% 68.49/10.29  axiom410, axiom411, axiom412, axiom413, axiom414, axiom415, axiom416, axiom417,
% 68.49/10.29  axiom418, axiom419, axiom42, axiom420, axiom421, axiom422, axiom423, axiom424,
% 68.49/10.29  axiom425, axiom426, axiom427, axiom428, axiom429, axiom43, axiom430, axiom431,
% 68.49/10.29  axiom432, axiom433, axiom434, axiom435, axiom436, axiom437, axiom438, axiom439,
% 68.49/10.29  axiom44, axiom440, axiom441, axiom442, axiom443, axiom444, axiom445, axiom446,
% 68.49/10.29  axiom447, axiom448, axiom449, axiom45, axiom450, axiom451, axiom452, axiom453,
% 68.49/10.29  axiom454, axiom455, axiom456, axiom457, axiom458, axiom459, axiom46, axiom460,
% 68.49/10.29  axiom461, axiom462, axiom463, axiom464, axiom465, axiom466, axiom467, axiom468,
% 68.49/10.29  axiom469, axiom47, axiom470, axiom471, axiom472, axiom473, axiom474, axiom475,
% 68.49/10.29  axiom476, axiom477, axiom478, axiom479, axiom48, axiom480, axiom481, axiom482,
% 68.49/10.29  axiom483, axiom484, axiom485, axiom486, axiom487, axiom488, axiom489, axiom49,
% 68.49/10.29  axiom490, axiom491, axiom492, axiom493, axiom494, axiom495, axiom496, axiom497,
% 68.49/10.29  axiom498, axiom499, axiom5, axiom50, axiom500, axiom501, axiom502, axiom503,
% 68.49/10.29  axiom504, axiom505, axiom506, axiom507, axiom508, axiom509, axiom51, axiom510,
% 68.49/10.29  axiom511, axiom512, axiom513, axiom514, axiom515, axiom516, axiom517, axiom518,
% 68.49/10.29  axiom519, axiom52, axiom520, axiom521, axiom522, axiom523, axiom524, axiom525,
% 68.49/10.29  axiom526, axiom527, axiom528, axiom529, axiom53, axiom530, axiom531, axiom532,
% 68.49/10.29  axiom533, axiom534, axiom535, axiom536, axiom537, axiom538, axiom539, axiom54,
% 68.49/10.29  axiom540, axiom541, axiom542, axiom543, axiom544, axiom545, axiom546, axiom547,
% 68.49/10.29  axiom548, axiom549, axiom55, axiom550, axiom551, axiom552, axiom553, axiom554,
% 68.49/10.29  axiom555, axiom556, axiom557, axiom558, axiom559, axiom56, axiom560, axiom561,
% 68.49/10.29  axiom562, axiom563, axiom564, axiom565, axiom566, axiom567, axiom568, axiom569,
% 68.49/10.29  axiom57, axiom570, axiom571, axiom572, axiom573, axiom574, axiom575, axiom576,
% 68.49/10.29  axiom577, axiom578, axiom579, axiom58, axiom580, axiom581, axiom582, axiom583,
% 68.49/10.29  axiom584, axiom585, axiom586, axiom587, axiom588, axiom589, axiom59, axiom590,
% 68.49/10.29  axiom591, axiom592, axiom593, axiom594, axiom595, axiom596, axiom597, axiom598,
% 68.49/10.29  axiom599, axiom6, axiom60, axiom600, axiom601, axiom602, axiom603, axiom604,
% 68.49/10.29  axiom605, axiom606, axiom607, axiom608, axiom609, axiom61, axiom610, axiom611,
% 68.49/10.29  axiom612, axiom613, axiom614, axiom615, axiom616, axiom617, axiom618, axiom619,
% 68.49/10.29  axiom62, axiom620, axiom621, axiom622, axiom623, axiom624, axiom625, axiom626,
% 68.49/10.29  axiom627, axiom628, axiom629, axiom63, axiom630, axiom631, axiom632, axiom633,
% 68.49/10.29  axiom634, axiom635, axiom636, axiom637, axiom638, axiom639, axiom64, axiom640,
% 68.49/10.29  axiom641, axiom642, axiom643, axiom644, axiom645, axiom65, axiom66, axiom67,
% 68.49/10.29  axiom68, axiom69, axiom7, axiom70, axiom71, axiom72, axiom73, axiom74, axiom75,
% 68.49/10.29  axiom76, axiom77, axiom78, axiom79, axiom8, axiom80, axiom81, axiom82, axiom83,
% 68.49/10.29  axiom84, axiom85, axiom86, axiom87, axiom88, axiom89, axiom9, axiom90, axiom91,
% 68.49/10.29  axiom92, axiom93, axiom94, axiom95, axiom96, axiom97, axiom98, axiom99,
% 68.49/10.29  formula_647, formula_648, formula_649, formula_650
% 68.49/10.29  
% 68.49/10.29  Those formulas are unsatisfiable:
% 68.49/10.29  ---------------------------------
% 68.49/10.29  
% 68.49/10.29  Begin of proof
% 68.49/10.29  | 
% 68.49/10.29  | ALPHA: (axiom17) implies:
% 68.49/10.29  |   (1)   ? [v0: A_TESL_atomic$] :  ? [v1: A_TESL_atomic_list$] :  ? [v2:
% 68.49/10.29  |          A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ? [v3:
% 68.49/10.29  |          Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ? [v4:
% 68.49/10.29  |          A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$]
% 68.49/10.29  |        :  ? [v5: A_run_set$] : (timeDelayedBy$(k_1$, delta_tau$, k_2$, k_3$) =
% 68.49/10.29  |          v0 & heronConf_interpretation$(v4) = v5 & pair$c(n$, v2) = v3 &
% 68.49/10.29  |          pair$b(v1, phi$) = v2 & pair$a(gamma$, v3) = v4 & cons$a(v0, psi$) =
% 68.49/10.29  |          v1 & member$a(rho$, v5) = 0 & A_TESL_atomic$(v0) &
% 68.49/10.29  |          Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(v3) &
% 68.49/10.29  |          A_run_set$(v5) &
% 68.49/10.29  |          A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(v4)
% 68.49/10.29  |          & A_TESL_atomic_list_a_TESL_atomic_list_prod$(v2) &
% 68.49/10.29  |          A_TESL_atomic_list$(v1))
% 68.49/10.29  | 
% 68.49/10.29  | ALPHA: (axiom19) implies:
% 68.49/10.29  |   (2)   ! [v0: A_constr_list$] :  ! [v1: Nat$] :  ! [v2: Clock$] :  ! [v3:
% 68.49/10.29  |          A_tag_const$] :  ! [v4: Clock$] :  ! [v5: Clock$] :  ! [v6:
% 68.49/10.29  |          A_TESL_atomic_list$] :  ! [v7: A_TESL_atomic_list$] :  ! [v8:
% 68.49/10.29  |          A_TESL_atomic$] :  ! [v9: A_constr$] :  ! [v10: A_constr_list$] :  !
% 68.49/10.29  |        [v11: A_TESL_atomic_list$] :  ! [v12:
% 68.49/10.29  |          A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ! [v13:
% 68.49/10.29  |          Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ! [v14:
% 68.49/10.29  |          A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$]
% 68.49/10.29  |        :  ! [v15: A_run_set$] :  ! [v16: A_run_set_a_run_set_fun$] :  ! [v17:
% 68.49/10.29  |          A_constr$] :  ! [v18: A_constr$] :  ! [v19: A_constr_list$] :  !
% 68.49/10.29  |        [v20: A_constr_list$] :  ! [v21:
% 68.49/10.29  |          A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$]
% 68.49/10.29  |        :  ! [v22: A_run_set$] :  ! [v23: A_run_set$] : ( ~ (notTicks$(v2, v1)
% 68.49/10.29  |            = v9) |  ~ (fun_app$m(sup$, v15) = v16) |  ~ (ticks$(v2, v1) = v17)
% 68.49/10.29  |          |  ~ (timeDelay$(v4, v1, v3, v5) = v18) |  ~ (fun_app$l(v16, v22) =
% 68.49/10.29  |            v23) |  ~ (timeDelayedBy$(v2, v3, v4, v5) = v8) |  ~
% 68.49/10.29  |          (heronConf_interpretation$(v21) = v22) |  ~
% 68.49/10.29  |          (heronConf_interpretation$(v14) = v15) |  ~ (pair$c(v1, v12) = v13) |
% 68.49/10.29  |           ~ (pair$b(v6, v11) = v12) |  ~ (pair$a(v20, v13) = v21) |  ~
% 68.49/10.29  |          (pair$a(v10, v13) = v14) |  ~ (cons$a(v8, v7) = v11) |  ~ (cons$(v18,
% 68.49/10.29  |              v0) = v19) |  ~ (cons$(v17, v19) = v20) |  ~ (cons$(v9, v0) =
% 68.49/10.29  |            v10) |  ~ Nat$(v1) |  ~ A_tag_const$(v3) |  ~
% 68.49/10.29  |          A_TESL_atomic_list$(v7) |  ~ A_TESL_atomic_list$(v6) |  ~
% 68.49/10.29  |          A_constr_list$(v0) |  ~ Clock$(v5) |  ~ Clock$(v4) |  ~ Clock$(v2) | 
% 68.49/10.29  |          ? [v24: A_TESL_atomic_list$] :  ? [v25:
% 68.49/10.29  |            A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ? [v26:
% 68.49/10.29  |            Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ? [v27:
% 68.49/10.29  |            A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$]
% 68.49/10.29  |          : (heronConf_interpretation$(v27) = v23 & pair$c(v1, v25) = v26 &
% 68.49/10.29  |            pair$b(v24, v7) = v25 & pair$a(v0, v26) = v27 & cons$a(v8, v6) =
% 68.49/10.29  |            v24 & Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(v26) &
% 68.49/10.29  |            A_run_set$(v23) &
% 68.49/10.29  |            A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(v27)
% 68.49/10.29  |            & A_TESL_atomic_list_a_TESL_atomic_list_prod$(v25) &
% 68.49/10.29  |            A_TESL_atomic_list$(v24)))
% 68.49/10.29  | 
% 68.49/10.29  | ALPHA: (conjecture15) implies:
% 68.49/10.30  |   (3)  Clock$(k_2$)
% 68.49/10.30  |   (4)  Clock$(k_3$)
% 68.49/10.30  |   (5)  Clock$(k_1$)
% 68.49/10.30  |   (6)  A_constr_list$(gamma$)
% 68.49/10.30  |   (7)  A_TESL_atomic_list$(psi$)
% 68.49/10.30  |   (8)  A_TESL_atomic_list$(phi$)
% 68.49/10.30  |   (9)  A_tag_const$(delta_tau$)
% 68.49/10.30  |   (10)  Nat$(n$)
% 68.49/10.30  |   (11)   ? [v0: A_TESL_atomic$] :  ? [v1: A_TESL_atomic_list$] :  ? [v2:
% 68.49/10.30  |           A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ? [v3:
% 68.49/10.30  |           Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ? [v4:
% 68.49/10.30  |           A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$]
% 68.49/10.30  |         :  ? [v5: A_run_set$] :  ? [v6: A_constr$] :  ? [v7: A_constr_list$] :
% 68.49/10.30  |          ? [v8: A_TESL_atomic_list$] :  ? [v9:
% 68.49/10.30  |           A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ? [v10:
% 68.49/10.30  |           Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ? [v11:
% 68.49/10.30  |           A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$]
% 68.49/10.30  |         :  ? [v12: A_run_set$] :  ? [v13: A_run_set_a_run_set_fun$] :  ? [v14:
% 68.49/10.30  |           A_constr$] :  ? [v15: A_constr$] :  ? [v16: A_constr_list$] :  ?
% 68.49/10.30  |         [v17: A_constr_list$] :  ? [v18:
% 68.49/10.30  |           A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$]
% 68.49/10.30  |         :  ? [v19: A_run_set$] :  ? [v20: A_run_set$] : ( ~ (v20 = v5) &
% 68.49/10.30  |           notTicks$(k_1$, n$) = v6 & fun_app$m(sup$, v12) = v13 & ticks$(k_1$,
% 68.49/10.30  |             n$) = v14 & timeDelay$(k_2$, n$, delta_tau$, k_3$) = v15 &
% 68.49/10.30  |           fun_app$l(v13, v19) = v20 & timeDelayedBy$(k_1$, delta_tau$, k_2$,
% 68.49/10.30  |             k_3$) = v0 & heronConf_interpretation$(v18) = v19 &
% 68.49/10.30  |           heronConf_interpretation$(v11) = v12 & heronConf_interpretation$(v4)
% 68.49/10.30  |           = v5 & pair$c(n$, v9) = v10 & pair$c(n$, v2) = v3 & pair$b(v1, phi$)
% 68.49/10.30  |           = v2 & pair$b(psi$, v8) = v9 & pair$a(v17, v10) = v18 & pair$a(v7,
% 68.49/10.30  |             v10) = v11 & pair$a(gamma$, v3) = v4 & cons$a(v0, phi$) = v8 &
% 68.49/10.30  |           cons$a(v0, psi$) = v1 & cons$(v15, gamma$) = v16 & cons$(v14, v16) =
% 68.49/10.30  |           v17 & cons$(v6, gamma$) = v7 & A_TESL_atomic$(v0) &
% 68.49/10.30  |           Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(v10) &
% 68.49/10.30  |           Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(v3) &
% 68.49/10.30  |           A_run_set$(v20) & A_run_set$(v19) & A_run_set$(v12) & A_run_set$(v5)
% 68.49/10.30  |           & A_run_set_a_run_set_fun$(v13) & A_constr$(v15) & A_constr$(v14) &
% 68.49/10.30  |           A_constr$(v6) &
% 68.49/10.30  |           A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(v18)
% 68.49/10.30  |           &
% 68.49/10.30  |           A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(v11)
% 68.49/10.30  |           &
% 68.49/10.30  |           A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(v4)
% 68.49/10.30  |           & A_TESL_atomic_list_a_TESL_atomic_list_prod$(v9) &
% 68.49/10.30  |           A_TESL_atomic_list_a_TESL_atomic_list_prod$(v2) &
% 68.49/10.30  |           A_TESL_atomic_list$(v8) & A_TESL_atomic_list$(v1) &
% 68.49/10.30  |           A_constr_list$(v17) & A_constr_list$(v16) & A_constr_list$(v7))
% 68.49/10.30  | 
% 68.49/10.30  | ALPHA: (function-axioms) implies:
% 68.49/10.30  |   (12)   ! [v0: A_run_set$] :  ! [v1: A_run_set$] :  ! [v2:
% 68.49/10.30  |           A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$]
% 68.49/10.30  |         : (v1 = v0 |  ~ (heronConf_interpretation$(v2) = v1) |  ~
% 68.49/10.30  |           (heronConf_interpretation$(v2) = v0))
% 68.49/10.30  |   (13)   ! [v0: A_TESL_atomic_list$] :  ! [v1: A_TESL_atomic_list$] :  ! [v2:
% 68.49/10.30  |           A_TESL_atomic_list$] :  ! [v3: A_TESL_atomic$] : (v1 = v0 |  ~
% 68.49/10.30  |           (cons$a(v3, v2) = v1) |  ~ (cons$a(v3, v2) = v0))
% 68.49/10.30  |   (14)   ! [v0:
% 68.49/10.30  |           A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$]
% 68.49/10.30  |         :  ! [v1:
% 68.49/10.30  |           A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$]
% 68.49/10.30  |         :  ! [v2: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  !
% 68.49/10.30  |         [v3: A_constr_list$] : (v1 = v0 |  ~ (pair$a(v3, v2) = v1) |  ~
% 68.49/10.30  |           (pair$a(v3, v2) = v0))
% 68.95/10.30  |   (15)   ! [v0: A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ! [v1:
% 68.95/10.30  |           A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ! [v2:
% 68.95/10.30  |           A_TESL_atomic_list$] :  ! [v3: A_TESL_atomic_list$] : (v1 = v0 |  ~
% 68.95/10.30  |           (pair$b(v3, v2) = v1) |  ~ (pair$b(v3, v2) = v0))
% 68.95/10.30  |   (16)   ! [v0: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  !
% 68.95/10.30  |         [v1: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ! [v2:
% 68.95/10.30  |           A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ! [v3: Nat$] : (v1 =
% 68.95/10.30  |           v0 |  ~ (pair$c(v3, v2) = v1) |  ~ (pair$c(v3, v2) = v0))
% 68.95/10.30  |   (17)   ! [v0: A_TESL_atomic$] :  ! [v1: A_TESL_atomic$] :  ! [v2: Clock$] : 
% 68.95/10.30  |         ! [v3: Clock$] :  ! [v4: A_tag_const$] :  ! [v5: Clock$] : (v1 = v0 | 
% 68.95/10.30  |           ~ (timeDelayedBy$(v5, v4, v3, v2) = v1) |  ~ (timeDelayedBy$(v5, v4,
% 68.95/10.30  |               v3, v2) = v0))
% 68.95/10.30  | 
% 68.95/10.30  | DELTA: instantiating (1) with fresh symbols all_824_0, all_824_1, all_824_2,
% 68.95/10.30  |        all_824_3, all_824_4, all_824_5 gives:
% 68.95/10.30  |   (18)  timeDelayedBy$(k_1$, delta_tau$, k_2$, k_3$) = all_824_5 &
% 68.95/10.30  |         heronConf_interpretation$(all_824_1) = all_824_0 & pair$c(n$,
% 68.95/10.30  |           all_824_3) = all_824_2 & pair$b(all_824_4, phi$) = all_824_3 &
% 68.95/10.30  |         pair$a(gamma$, all_824_2) = all_824_1 & cons$a(all_824_5, psi$) =
% 68.95/10.30  |         all_824_4 & member$a(rho$, all_824_0) = 0 & A_TESL_atomic$(all_824_5)
% 68.95/10.30  |         & Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(all_824_2) &
% 68.95/10.30  |         A_run_set$(all_824_0) &
% 68.95/10.30  |         A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(all_824_1)
% 68.95/10.30  |         & A_TESL_atomic_list_a_TESL_atomic_list_prod$(all_824_3) &
% 68.95/10.30  |         A_TESL_atomic_list$(all_824_4)
% 68.95/10.30  | 
% 68.95/10.30  | ALPHA: (18) implies:
% 68.95/10.30  |   (19)  cons$a(all_824_5, psi$) = all_824_4
% 68.95/10.30  |   (20)  pair$a(gamma$, all_824_2) = all_824_1
% 68.95/10.30  |   (21)  pair$b(all_824_4, phi$) = all_824_3
% 68.95/10.30  |   (22)  pair$c(n$, all_824_3) = all_824_2
% 68.95/10.30  |   (23)  heronConf_interpretation$(all_824_1) = all_824_0
% 68.95/10.30  |   (24)  timeDelayedBy$(k_1$, delta_tau$, k_2$, k_3$) = all_824_5
% 68.95/10.30  | 
% 68.95/10.30  | DELTA: instantiating (11) with fresh symbols all_923_0, all_923_1, all_923_2,
% 68.95/10.30  |        all_923_3, all_923_4, all_923_5, all_923_6, all_923_7, all_923_8,
% 68.95/10.30  |        all_923_9, all_923_10, all_923_11, all_923_12, all_923_13, all_923_14,
% 68.95/10.30  |        all_923_15, all_923_16, all_923_17, all_923_18, all_923_19, all_923_20
% 68.95/10.30  |        gives:
% 68.95/10.31  |   (25)   ~ (all_923_0 = all_923_15) & notTicks$(k_1$, n$) = all_923_14 &
% 68.95/10.31  |         fun_app$m(sup$, all_923_8) = all_923_7 & ticks$(k_1$, n$) = all_923_6
% 68.95/10.31  |         & timeDelay$(k_2$, n$, delta_tau$, k_3$) = all_923_5 &
% 68.95/10.31  |         fun_app$l(all_923_7, all_923_1) = all_923_0 & timeDelayedBy$(k_1$,
% 68.95/10.31  |           delta_tau$, k_2$, k_3$) = all_923_20 &
% 68.95/10.31  |         heronConf_interpretation$(all_923_2) = all_923_1 &
% 68.95/10.31  |         heronConf_interpretation$(all_923_9) = all_923_8 &
% 68.95/10.31  |         heronConf_interpretation$(all_923_16) = all_923_15 & pair$c(n$,
% 68.95/10.31  |           all_923_11) = all_923_10 & pair$c(n$, all_923_18) = all_923_17 &
% 68.95/10.31  |         pair$b(all_923_19, phi$) = all_923_18 & pair$b(psi$, all_923_12) =
% 68.95/10.31  |         all_923_11 & pair$a(all_923_3, all_923_10) = all_923_2 &
% 68.95/10.31  |         pair$a(all_923_13, all_923_10) = all_923_9 & pair$a(gamma$,
% 68.95/10.31  |           all_923_17) = all_923_16 & cons$a(all_923_20, phi$) = all_923_12 &
% 68.95/10.31  |         cons$a(all_923_20, psi$) = all_923_19 & cons$(all_923_5, gamma$) =
% 68.95/10.31  |         all_923_4 & cons$(all_923_6, all_923_4) = all_923_3 &
% 68.95/10.31  |         cons$(all_923_14, gamma$) = all_923_13 & A_TESL_atomic$(all_923_20) &
% 68.95/10.31  |         Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(all_923_10) &
% 68.95/10.31  |         Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(all_923_17) &
% 68.95/10.31  |         A_run_set$(all_923_0) & A_run_set$(all_923_1) & A_run_set$(all_923_8)
% 68.95/10.31  |         & A_run_set$(all_923_15) & A_run_set_a_run_set_fun$(all_923_7) &
% 68.95/10.31  |         A_constr$(all_923_5) & A_constr$(all_923_6) & A_constr$(all_923_14) &
% 68.95/10.31  |         A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(all_923_2)
% 68.95/10.31  |         &
% 68.95/10.31  |         A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(all_923_9)
% 68.95/10.31  |         &
% 68.95/10.31  |         A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(all_923_16)
% 68.95/10.31  |         & A_TESL_atomic_list_a_TESL_atomic_list_prod$(all_923_11) &
% 68.95/10.31  |         A_TESL_atomic_list_a_TESL_atomic_list_prod$(all_923_18) &
% 68.95/10.31  |         A_TESL_atomic_list$(all_923_12) & A_TESL_atomic_list$(all_923_19) &
% 68.95/10.31  |         A_constr_list$(all_923_3) & A_constr_list$(all_923_4) &
% 68.95/10.31  |         A_constr_list$(all_923_13)
% 68.95/10.31  | 
% 68.95/10.31  | ALPHA: (25) implies:
% 68.95/10.31  |   (26)   ~ (all_923_0 = all_923_15)
% 68.95/10.31  |   (27)  cons$(all_923_14, gamma$) = all_923_13
% 68.95/10.31  |   (28)  cons$(all_923_6, all_923_4) = all_923_3
% 68.95/10.31  |   (29)  cons$(all_923_5, gamma$) = all_923_4
% 68.95/10.31  |   (30)  cons$a(all_923_20, psi$) = all_923_19
% 68.95/10.31  |   (31)  cons$a(all_923_20, phi$) = all_923_12
% 68.95/10.31  |   (32)  pair$a(gamma$, all_923_17) = all_923_16
% 68.95/10.31  |   (33)  pair$a(all_923_13, all_923_10) = all_923_9
% 68.95/10.31  |   (34)  pair$a(all_923_3, all_923_10) = all_923_2
% 68.95/10.31  |   (35)  pair$b(psi$, all_923_12) = all_923_11
% 68.95/10.31  |   (36)  pair$b(all_923_19, phi$) = all_923_18
% 68.95/10.31  |   (37)  pair$c(n$, all_923_18) = all_923_17
% 68.95/10.31  |   (38)  pair$c(n$, all_923_11) = all_923_10
% 68.95/10.31  |   (39)  heronConf_interpretation$(all_923_16) = all_923_15
% 68.95/10.31  |   (40)  heronConf_interpretation$(all_923_9) = all_923_8
% 68.95/10.31  |   (41)  heronConf_interpretation$(all_923_2) = all_923_1
% 68.95/10.31  |   (42)  timeDelayedBy$(k_1$, delta_tau$, k_2$, k_3$) = all_923_20
% 68.95/10.31  |   (43)  fun_app$l(all_923_7, all_923_1) = all_923_0
% 68.95/10.31  |   (44)  timeDelay$(k_2$, n$, delta_tau$, k_3$) = all_923_5
% 68.95/10.31  |   (45)  ticks$(k_1$, n$) = all_923_6
% 68.95/10.31  |   (46)  fun_app$m(sup$, all_923_8) = all_923_7
% 68.95/10.31  |   (47)  notTicks$(k_1$, n$) = all_923_14
% 68.95/10.31  | 
% 68.95/10.31  | GROUND_INST: instantiating (17) with all_824_5, all_923_20, k_3$, k_2$,
% 68.95/10.31  |              delta_tau$, k_1$, simplifying with (24), (42) gives:
% 68.95/10.31  |   (48)  all_923_20 = all_824_5
% 68.95/10.31  | 
% 68.95/10.31  | REDUCE: (31), (48) imply:
% 68.95/10.31  |   (49)  cons$a(all_824_5, phi$) = all_923_12
% 68.95/10.31  | 
% 68.95/10.31  | REDUCE: (30), (48) imply:
% 68.95/10.31  |   (50)  cons$a(all_824_5, psi$) = all_923_19
% 68.95/10.31  | 
% 68.95/10.31  | GROUND_INST: instantiating (13) with all_824_4, all_923_19, psi$, all_824_5,
% 68.95/10.31  |              simplifying with (19), (50) gives:
% 68.95/10.31  |   (51)  all_923_19 = all_824_4
% 68.95/10.31  | 
% 68.95/10.31  | REDUCE: (36), (51) imply:
% 68.95/10.31  |   (52)  pair$b(all_824_4, phi$) = all_923_18
% 68.95/10.31  | 
% 68.95/10.31  | GROUND_INST: instantiating (15) with all_824_3, all_923_18, phi$, all_824_4,
% 68.95/10.31  |              simplifying with (21), (52) gives:
% 68.95/10.31  |   (53)  all_923_18 = all_824_3
% 68.95/10.31  | 
% 68.95/10.31  | REDUCE: (37), (53) imply:
% 68.95/10.31  |   (54)  pair$c(n$, all_824_3) = all_923_17
% 68.95/10.31  | 
% 68.95/10.31  | GROUND_INST: instantiating (16) with all_824_2, all_923_17, all_824_3, n$,
% 68.95/10.31  |              simplifying with (22), (54) gives:
% 68.95/10.31  |   (55)  all_923_17 = all_824_2
% 68.95/10.31  | 
% 68.95/10.31  | REDUCE: (32), (55) imply:
% 68.95/10.31  |   (56)  pair$a(gamma$, all_824_2) = all_923_16
% 68.95/10.31  | 
% 68.95/10.31  | GROUND_INST: instantiating (14) with all_824_1, all_923_16, all_824_2, gamma$,
% 68.95/10.31  |              simplifying with (20), (56) gives:
% 68.95/10.31  |   (57)  all_923_16 = all_824_1
% 68.95/10.31  | 
% 68.95/10.31  | REDUCE: (39), (57) imply:
% 68.95/10.31  |   (58)  heronConf_interpretation$(all_824_1) = all_923_15
% 68.95/10.31  | 
% 68.95/10.31  | GROUND_INST: instantiating (12) with all_824_0, all_923_15, all_824_1,
% 68.95/10.31  |              simplifying with (23), (58) gives:
% 68.95/10.31  |   (59)  all_923_15 = all_824_0
% 68.95/10.31  | 
% 68.95/10.31  | REDUCE: (26), (59) imply:
% 68.95/10.31  |   (60)   ~ (all_923_0 = all_824_0)
% 68.95/10.31  | 
% 68.95/10.32  | GROUND_INST: instantiating (2) with gamma$, n$, k_1$, delta_tau$, k_2$, k_3$,
% 68.95/10.32  |              psi$, phi$, all_824_5, all_923_14, all_923_13, all_923_12,
% 68.95/10.32  |              all_923_11, all_923_10, all_923_9, all_923_8, all_923_7,
% 68.95/10.32  |              all_923_6, all_923_5, all_923_4, all_923_3, all_923_2, all_923_1,
% 68.95/10.32  |              all_923_0, simplifying with (3), (4), (5), (6), (7), (8), (9),
% 68.95/10.32  |              (10), (24), (27), (28), (29), (33), (34), (35), (38), (40), (41),
% 68.95/10.32  |              (43), (44), (45), (46), (47), (49) gives:
% 68.95/10.32  |   (61)   ? [v0: A_TESL_atomic_list$] :  ? [v1:
% 68.95/10.32  |           A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ? [v2:
% 68.95/10.32  |           Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ? [v3:
% 68.95/10.32  |           A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$]
% 68.95/10.32  |         : (heronConf_interpretation$(v3) = all_923_0 & pair$c(n$, v1) = v2 &
% 68.95/10.32  |           pair$b(v0, phi$) = v1 & pair$a(gamma$, v2) = v3 & cons$a(all_824_5,
% 68.95/10.32  |             psi$) = v0 &
% 68.95/10.32  |           Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(v2) &
% 68.95/10.32  |           A_run_set$(all_923_0) &
% 68.95/10.32  |           A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(v3)
% 68.95/10.32  |           & A_TESL_atomic_list_a_TESL_atomic_list_prod$(v1) &
% 68.95/10.32  |           A_TESL_atomic_list$(v0))
% 68.95/10.32  | 
% 68.95/10.32  | DELTA: instantiating (61) with fresh symbols all_980_0, all_980_1, all_980_2,
% 68.95/10.32  |        all_980_3 gives:
% 68.95/10.32  |   (62)  heronConf_interpretation$(all_980_0) = all_923_0 & pair$c(n$,
% 68.95/10.32  |           all_980_2) = all_980_1 & pair$b(all_980_3, phi$) = all_980_2 &
% 68.95/10.32  |         pair$a(gamma$, all_980_1) = all_980_0 & cons$a(all_824_5, psi$) =
% 68.95/10.32  |         all_980_3 &
% 68.95/10.32  |         Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(all_980_1) &
% 68.95/10.32  |         A_run_set$(all_923_0) &
% 68.95/10.32  |         A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(all_980_0)
% 68.95/10.32  |         & A_TESL_atomic_list_a_TESL_atomic_list_prod$(all_980_2) &
% 68.95/10.32  |         A_TESL_atomic_list$(all_980_3)
% 68.95/10.32  | 
% 68.95/10.32  | ALPHA: (62) implies:
% 68.95/10.32  |   (63)  cons$a(all_824_5, psi$) = all_980_3
% 68.95/10.32  |   (64)  pair$a(gamma$, all_980_1) = all_980_0
% 68.95/10.32  |   (65)  pair$b(all_980_3, phi$) = all_980_2
% 68.95/10.32  |   (66)  pair$c(n$, all_980_2) = all_980_1
% 68.95/10.32  |   (67)  heronConf_interpretation$(all_980_0) = all_923_0
% 68.95/10.32  | 
% 68.95/10.32  | GROUND_INST: instantiating (13) with all_824_4, all_980_3, psi$, all_824_5,
% 68.95/10.32  |              simplifying with (19), (63) gives:
% 68.95/10.32  |   (68)  all_980_3 = all_824_4
% 68.95/10.32  | 
% 68.95/10.32  | REDUCE: (65), (68) imply:
% 68.95/10.32  |   (69)  pair$b(all_824_4, phi$) = all_980_2
% 68.95/10.32  | 
% 68.95/10.32  | GROUND_INST: instantiating (15) with all_824_3, all_980_2, phi$, all_824_4,
% 68.95/10.32  |              simplifying with (21), (69) gives:
% 68.95/10.32  |   (70)  all_980_2 = all_824_3
% 68.95/10.32  | 
% 68.95/10.32  | REDUCE: (66), (70) imply:
% 68.95/10.32  |   (71)  pair$c(n$, all_824_3) = all_980_1
% 68.95/10.32  | 
% 68.95/10.32  | GROUND_INST: instantiating (16) with all_824_2, all_980_1, all_824_3, n$,
% 68.95/10.32  |              simplifying with (22), (71) gives:
% 68.95/10.32  |   (72)  all_980_1 = all_824_2
% 68.95/10.32  | 
% 68.95/10.32  | REDUCE: (64), (72) imply:
% 68.95/10.32  |   (73)  pair$a(gamma$, all_824_2) = all_980_0
% 68.95/10.32  | 
% 68.95/10.32  | GROUND_INST: instantiating (14) with all_824_1, all_980_0, all_824_2, gamma$,
% 68.95/10.32  |              simplifying with (20), (73) gives:
% 68.95/10.32  |   (74)  all_980_0 = all_824_1
% 68.95/10.32  | 
% 68.95/10.32  | REDUCE: (67), (74) imply:
% 68.95/10.32  |   (75)  heronConf_interpretation$(all_824_1) = all_923_0
% 68.95/10.32  | 
% 68.95/10.32  | GROUND_INST: instantiating (12) with all_824_0, all_923_0, all_824_1,
% 68.95/10.32  |              simplifying with (23), (75) gives:
% 68.95/10.32  |   (76)  all_923_0 = all_824_0
% 68.95/10.32  | 
% 68.95/10.32  | REDUCE: (60), (76) imply:
% 68.95/10.32  |   (77)  $false
% 68.95/10.32  | 
% 68.95/10.32  | CLOSE: (77) is inconsistent.
% 68.95/10.32  | 
% 68.95/10.32  End of proof
% 68.95/10.32  % SZS output end Proof for theBenchmark
% 68.95/10.32  
% 68.95/10.32  9748ms
%------------------------------------------------------------------------------