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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 : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 04:12:03 EDT 2023

% Result   : Theorem 61.99s 9.45s
% Output   : Proof 93.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15  % Problem  : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.15  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.35  % Computer : n006.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Sun Aug 27 16:09:06 EDT 2023
% 0.12/0.35  % CPUTime  : 
% 0.17/0.62  ________       _____
% 0.17/0.62  ___  __ \_________(_)________________________________
% 0.17/0.62  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.17/0.62  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.17/0.62  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.17/0.63  
% 0.17/0.63  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.17/0.63  (2023-06-19)
% 0.17/0.63  
% 0.17/0.63  (c) Philipp Rümmer, 2009-2023
% 0.17/0.63  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.17/0.63                Amanda Stjerna.
% 0.17/0.63  Free software under BSD-3-Clause.
% 0.17/0.63  
% 0.17/0.63  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.17/0.63  
% 0.17/0.63  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.17/0.64  Running up to 7 provers in parallel.
% 0.17/0.69  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.17/0.69  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.17/0.69  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.17/0.69  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.17/0.69  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.17/0.69  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.17/0.69  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 20.47/3.72  Prover 3: Preprocessing ...
% 22.07/3.98  Prover 1: Preprocessing ...
% 22.07/3.98  Prover 5: Preprocessing ...
% 22.69/4.06  Prover 6: Preprocessing ...
% 22.69/4.06  Prover 2: Preprocessing ...
% 23.28/4.09  Prover 4: Preprocessing ...
% 23.28/4.14  Prover 0: Preprocessing ...
% 51.32/7.98  Prover 1: Warning: ignoring some quantifiers
% 53.20/8.17  Prover 6: Proving ...
% 53.73/8.17  Prover 3: Warning: ignoring some quantifiers
% 54.65/8.30  Prover 3: Constructing countermodel ...
% 54.65/8.31  Prover 1: Constructing countermodel ...
% 56.68/8.77  Prover 4: Warning: ignoring some quantifiers
% 60.66/9.12  Prover 0: Proving ...
% 61.06/9.19  Prover 4: Constructing countermodel ...
% 61.99/9.44  Prover 3: proved (8766ms)
% 61.99/9.44  
% 61.99/9.45  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 61.99/9.45  
% 61.99/9.45  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 61.99/9.45  Prover 0: stopped
% 61.99/9.47  Prover 6: stopped
% 61.99/9.49  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 61.99/9.49  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 66.24/9.91  Prover 5: Proving ...
% 66.24/9.91  Prover 5: stopped
% 66.24/9.91  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 74.06/11.17  Prover 8: Preprocessing ...
% 77.43/11.36  Prover 7: Preprocessing ...
% 77.88/11.45  Prover 11: Preprocessing ...
% 78.21/11.47  Prover 10: Preprocessing ...
% 80.19/11.74  Prover 2: Proving ...
% 80.19/11.74  Prover 2: stopped
% 80.19/11.74  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 84.70/12.35  Prover 1: Found proof (size 44)
% 84.70/12.35  Prover 1: proved (11681ms)
% 84.70/12.35  Prover 4: stopped
% 84.70/12.35  Prover 7: stopped
% 85.10/12.35  Prover 11: stopped
% 88.54/12.94  Prover 13: Preprocessing ...
% 89.28/13.10  Prover 8: Warning: ignoring some quantifiers
% 90.34/13.24  Prover 10: Warning: ignoring some quantifiers
% 90.78/13.31  Prover 8: Constructing countermodel ...
% 90.78/13.32  Prover 8: stopped
% 91.17/13.49  Prover 10: Constructing countermodel ...
% 91.17/13.49  Prover 10: stopped
% 92.36/13.65  Prover 13: stopped
% 92.36/13.65  
% 92.36/13.65  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 92.36/13.65  
% 92.44/13.66  % SZS output start Proof for theBenchmark
% 92.44/13.71  Assumptions after simplification:
% 92.44/13.71  ---------------------------------
% 92.44/13.71  
% 92.44/13.71    (axiom10)
% 92.70/13.74    Nat_int_fun$(of_nat$) & Nat$(n$) &
% 92.70/13.74    A_run_set_a_run_set_a_run_set_fun_fun$(inf$) & A_tag_const$(tau$) &
% 92.70/13.74    A_TESL_atomic_list$(phi$) & A_TESL_atomic_list$(psi$) & A_constr_list$(gamma$)
% 92.70/13.74    & Clock$(k_1$) & Clock$(k_2$) &  ? [v0: A_TESL_atomic$] :  ? [v1:
% 92.70/13.74      A_TESL_atomic_list$] :  ? [v2: A_TESL_atomic_list_a_TESL_atomic_list_prod$]
% 92.70/13.74    :  ? [v3: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ? [v4:
% 92.70/13.74      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] : 
% 92.70/13.74    ? [v5: A_run_set$] :  ? [v6: A_run_set$] :  ? [v7: A_run_set_a_run_set_fun$] :
% 92.70/13.74     ? [v8: A_run_set$] :  ? [v9: A_run_set$] :  ? [v10: A_run_set_a_run_set_fun$]
% 92.70/13.74    :  ? [v11: int] :  ? [v12: Nat$] :  ? [v13: A_run_set$] : (sporadicOn$(k_1$,
% 92.70/13.74        tau$, k_2$) = v0 & cons$a(v0, psi$) = v1 & heronConf_interpretation$(v4) =
% 92.70/13.74      v5 & symbolic_run_interpretation$(gamma$) = v6 & fun_app$f(inf$, v9) = v10 &
% 92.70/13.74      fun_app$f(inf$, v6) = v7 & fun_app$g(of_nat$, n$) = v11 & nat$($sum(v11, 1))
% 92.70/13.74      = v12 & tESL_interpretation_stepwise$(v1, n$) = v8 &
% 92.70/13.74      tESL_interpretation_stepwise$(phi$, v12) = v13 & fun_app$e(v10, v13) = v5 &
% 92.70/13.74      fun_app$e(v7, v8) = v9 & pair$b(v1, phi$) = v2 & pair$a(n$, v2) = v3 &
% 92.70/13.74      pair$(gamma$, v3) = v4 & A_TESL_atomic$(v0) &
% 92.70/13.74      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(v3) & A_run_set$(v13) &
% 92.70/13.74      A_run_set$(v9) & A_run_set$(v8) & A_run_set$(v6) & A_run_set$(v5) &
% 92.70/13.74      A_run_set_a_run_set_fun$(v10) & A_run_set_a_run_set_fun$(v7) & Nat$(v12) &
% 92.70/13.74      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(v4)
% 92.70/13.74      & A_TESL_atomic_list_a_TESL_atomic_list_prod$(v2) & A_TESL_atomic_list$(v1))
% 92.70/13.74  
% 92.70/13.74    (axiom8)
% 92.70/13.74    Nat_int_fun$(of_nat$) & A_run_set_a_run_set_a_run_set_fun_fun$(inf$) &  ! [v0:
% 92.70/13.74      A_constr_list$] :  ! [v1: Nat$] :  ! [v2: A_TESL_atomic_list$] :  ! [v3:
% 92.70/13.74      A_TESL_atomic_list$] :  ! [v4: A_run_set$] :  ! [v5:
% 92.70/13.74      A_run_set_a_run_set_fun$] :  ! [v6: A_run_set$] :  ! [v7: A_run_set$] :  !
% 92.70/13.74    [v8: A_run_set_a_run_set_fun$] :  ! [v9: int] :  ! [v10: Nat$] :  ! [v11:
% 92.70/13.74      A_run_set$] :  ! [v12: A_run_set$] : ( ~ (symbolic_run_interpretation$(v0) =
% 92.70/13.74        v4) |  ~ (fun_app$f(inf$, v7) = v8) |  ~ (fun_app$f(inf$, v4) = v5) |  ~
% 92.70/13.74      (fun_app$g(of_nat$, v1) = v9) |  ~ (nat$($sum(v9, 1)) = v10) |  ~
% 92.70/13.74      (tESL_interpretation_stepwise$(v3, v10) = v11) |  ~
% 92.70/13.74      (tESL_interpretation_stepwise$(v2, v1) = v6) |  ~ (fun_app$e(v8, v11) = v12)
% 92.70/13.74      |  ~ (fun_app$e(v5, v6) = v7) |  ~ Nat$(v1) |  ~ A_TESL_atomic_list$(v3) | 
% 92.70/13.74      ~ A_TESL_atomic_list$(v2) |  ~ A_constr_list$(v0) |  ? [v13:
% 92.70/13.74        A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ? [v14:
% 92.70/13.74        Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ? [v15:
% 92.70/13.74        A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] :
% 92.70/13.74      (heronConf_interpretation$(v15) = v12 & pair$b(v2, v3) = v13 & pair$a(v1,
% 92.70/13.74          v13) = v14 & pair$(v0, v14) = v15 &
% 92.70/13.74        Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(v14) &
% 92.70/13.74        A_run_set$(v12) &
% 92.70/13.74        A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(v15)
% 92.70/13.74        & A_TESL_atomic_list_a_TESL_atomic_list_prod$(v13)))
% 92.70/13.74  
% 92.70/13.75    (axiom9)
% 92.70/13.75    Nat_int_fun$(of_nat$) & Nat$(n$) &
% 92.70/13.75    A_run_set_a_run_set_a_run_set_fun_fun$(inf$) & A_tag_const$(tau$) &
% 92.70/13.75    A_TESL_atomic_list$(phi$) & A_TESL_atomic_list$(psi$) & A_constr_list$(gamma$)
% 92.70/13.75    & Clock$(k_1$) & Clock$(k_2$) &  ? [v0: A_TESL_atomic$] :  ? [v1:
% 92.70/13.75      A_TESL_atomic_list$] :  ? [v2: A_TESL_atomic_list_a_TESL_atomic_list_prod$]
% 92.70/13.75    :  ? [v3: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ? [v4:
% 92.70/13.75      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] : 
% 92.70/13.75    ? [v5: A_run_set$] :  ? [v6: A_run_set$] :  ? [v7: A_run_set_a_run_set_fun$] :
% 92.70/13.75     ? [v8: A_run_set$] :  ? [v9: A_run_set$] :  ? [v10: A_run_set_a_run_set_fun$]
% 92.70/13.75    :  ? [v11: int] :  ? [v12: Nat$] :  ? [v13: A_run_set$] : (sporadicOn$(k_1$,
% 92.70/13.75        tau$, k_2$) = v0 & cons$a(v0, phi$) = v1 & heronConf_interpretation$(v4) =
% 92.70/13.75      v5 & symbolic_run_interpretation$(gamma$) = v6 & fun_app$f(inf$, v9) = v10 &
% 92.70/13.75      fun_app$f(inf$, v6) = v7 & fun_app$g(of_nat$, n$) = v11 & nat$($sum(v11, 1))
% 92.70/13.75      = v12 & tESL_interpretation_stepwise$(v1, v12) = v13 &
% 92.70/13.75      tESL_interpretation_stepwise$(psi$, n$) = v8 & fun_app$e(v10, v13) = v5 &
% 92.70/13.75      fun_app$e(v7, v8) = v9 & pair$b(psi$, v1) = v2 & pair$a(n$, v2) = v3 &
% 92.70/13.75      pair$(gamma$, v3) = v4 & A_TESL_atomic$(v0) &
% 92.70/13.75      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(v3) & A_run_set$(v13) &
% 92.70/13.75      A_run_set$(v9) & A_run_set$(v8) & A_run_set$(v6) & A_run_set$(v5) &
% 92.70/13.75      A_run_set_a_run_set_fun$(v10) & A_run_set_a_run_set_fun$(v7) & Nat$(v12) &
% 92.70/13.75      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(v4)
% 92.70/13.75      & A_TESL_atomic_list_a_TESL_atomic_list_prod$(v2) & A_TESL_atomic_list$(v1))
% 92.70/13.75  
% 92.70/13.75    (conjecture5)
% 92.70/13.76    Nat_int_fun$(of_nat$) & Nat$(n$) &
% 92.70/13.76    A_run_set_a_run_set_a_run_set_fun_fun$(inf$) & A_tag_const$(tau$) &
% 92.70/13.76    A_TESL_atomic_list$(phi$) & A_TESL_atomic_list$(psi$) & A_constr_list$(gamma$)
% 92.70/13.76    & Clock$(k_1$) & Clock$(k_2$) &  ? [v0: A_constr$] :  ? [v1: A_constr$] :  ?
% 92.70/13.76    [v2: A_constr_list$] :  ? [v3: A_constr_list$] :  ? [v4:
% 92.70/13.76      A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ? [v5:
% 92.70/13.76      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ? [v6:
% 92.70/13.76      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] : 
% 92.70/13.76    ? [v7: A_run_set$] :  ? [v8: A_run_set$] :  ? [v9: A_run_set_a_run_set_fun$] :
% 92.70/13.76     ? [v10: A_run_set$] :  ? [v11: A_run_set$] :  ? [v12:
% 92.70/13.76      A_run_set_a_run_set_fun$] :  ? [v13: int] :  ? [v14: Nat$] :  ? [v15:
% 92.70/13.76      A_run_set$] :  ? [v16: A_run_set$] : ( ~ (v16 = v7) & cons$(v1, gamma$) = v2
% 92.70/13.76      & cons$(v0, v2) = v3 & ticks$(k_1$, n$) = v0 & timestamp$(k_2$, n$, tau$) =
% 92.70/13.76      v1 & heronConf_interpretation$(v6) = v7 & symbolic_run_interpretation$(v3) =
% 92.70/13.76      v8 & fun_app$f(inf$, v11) = v12 & fun_app$f(inf$, v8) = v9 &
% 92.70/13.76      fun_app$g(of_nat$, n$) = v13 & nat$($sum(v13, 1)) = v14 &
% 92.70/13.76      tESL_interpretation_stepwise$(phi$, v14) = v15 &
% 92.70/13.76      tESL_interpretation_stepwise$(psi$, n$) = v10 & fun_app$e(v12, v15) = v16 &
% 92.70/13.76      fun_app$e(v9, v10) = v11 & pair$b(psi$, phi$) = v4 & pair$a(n$, v4) = v5 &
% 92.70/13.76      pair$(v3, v5) = v6 &
% 92.70/13.76      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(v5) & A_run_set$(v16) &
% 92.70/13.76      A_run_set$(v15) & A_run_set$(v11) & A_run_set$(v10) & A_run_set$(v8) &
% 92.70/13.76      A_run_set$(v7) & A_run_set_a_run_set_fun$(v12) &
% 92.70/13.76      A_run_set_a_run_set_fun$(v9) & A_constr$(v1) & A_constr$(v0) & Nat$(v14) &
% 92.70/13.76      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(v6)
% 92.70/13.76      & A_TESL_atomic_list_a_TESL_atomic_list_prod$(v4) & A_constr_list$(v3) &
% 92.70/13.76      A_constr_list$(v2))
% 92.70/13.76  
% 92.70/13.76    (function-axioms)
% 92.90/13.81     ! [v0: A_constr$] :  ! [v1: A_constr$] :  ! [v2: Clock$] :  ! [v3:
% 92.90/13.81      A_tag_const$] :  ! [v4: Nat$] :  ! [v5: Clock$] : (v1 = v0 |  ~
% 92.90/13.81      (timeDelay$(v5, v4, v3, v2) = v1) |  ~ (timeDelay$(v5, v4, v3, v2) = v0)) & 
% 92.90/13.81    ! [v0: A_TESL_atomic$] :  ! [v1: A_TESL_atomic$] :  ! [v2: Clock$] :  ! [v3:
% 92.90/13.81      Clock$] :  ! [v4: A_tag_const$] :  ! [v5: Clock$] : (v1 = v0 |  ~
% 92.90/13.81      (timeDelayedBy$(v5, v4, v3, v2) = v1) |  ~ (timeDelayedBy$(v5, v4, v3, v2) =
% 92.90/13.81        v0)) &  ! [v0: A_constr$] :  ! [v1: A_constr$] :  ! [v2: A_tag_const$] : 
% 92.90/13.81    ! [v3: Nat$] :  ! [v4: Clock$] : (v1 = v0 |  ~ (timestamp$(v4, v3, v2) = v1) |
% 92.90/13.81       ~ (timestamp$(v4, v3, v2) = v0)) &  ! [v0: A_TESL_atomic$] :  ! [v1:
% 92.90/13.81      A_TESL_atomic$] :  ! [v2: Clock$] :  ! [v3: A_tag_const$] :  ! [v4: Clock$]
% 92.90/13.81    : (v1 = v0 |  ~ (sporadicOn$(v4, v3, v2) = v1) |  ~ (sporadicOn$(v4, v3, v2) =
% 92.90/13.81        v0)) &  ! [v0: A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$] :  !
% 92.90/13.81    [v1: A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$] :  ! [v2:
% 92.90/13.81      A_TESL_atomic_list$] :  ! [v3:
% 92.90/13.81      A_TESL_atomic_list_a_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_fun$]
% 92.90/13.81    : (v1 = v0 |  ~ (fun_app$ag(v3, v2) = v1) |  ~ (fun_app$ag(v3, v2) = v0)) &  !
% 92.90/13.81    [v0: A_TESL_atomic_list_a_constr_list_bool_fun_fun$] :  ! [v1:
% 92.90/13.81      A_TESL_atomic_list_a_constr_list_bool_fun_fun$] :  ! [v2:
% 92.90/13.81      A_TESL_atomic_list$] :  ! [v3:
% 92.90/13.81      A_TESL_atomic_list_a_TESL_atomic_list_a_constr_list_bool_fun_fun_fun$] : (v1
% 92.90/13.81      = v0 |  ~ (fun_app$af(v3, v2) = v1) |  ~ (fun_app$af(v3, v2) = v0)) &  !
% 92.90/13.81    [v0: A_constr_list_a_TESL_atomic_list_bool_fun_fun$] :  ! [v1:
% 92.90/13.81      A_constr_list_a_TESL_atomic_list_bool_fun_fun$] :  ! [v2:
% 92.90/13.81      A_TESL_atomic_list$] :  ! [v3:
% 92.90/13.81      A_TESL_atomic_list_a_constr_list_a_TESL_atomic_list_bool_fun_fun_fun$] : (v1
% 92.90/13.81      = v0 |  ~ (fun_app$ae(v3, v2) = v1) |  ~ (fun_app$ae(v3, v2) = v0)) &  !
% 92.90/13.81    [v0: A_constr_list_a_constr_list_bool_fun_fun$] :  ! [v1:
% 92.90/13.81      A_constr_list_a_constr_list_bool_fun_fun$] :  ! [v2: A_TESL_atomic_list$] : 
% 92.90/13.81    ! [v3: A_TESL_atomic_list_a_constr_list_a_constr_list_bool_fun_fun_fun$] : (v1
% 92.90/13.81      = v0 |  ~ (fun_app$ad(v3, v2) = v1) |  ~ (fun_app$ad(v3, v2) = v0)) &  !
% 92.90/13.81    [v0: A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$] :  ! [v1:
% 92.90/13.81      A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$] :  ! [v2:
% 92.90/13.81      A_constr_list$] :  ! [v3:
% 92.90/13.81      A_constr_list_a_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_fun$] : (v1
% 92.90/13.81      = v0 |  ~ (fun_app$ac(v3, v2) = v1) |  ~ (fun_app$ac(v3, v2) = v0)) &  !
% 92.90/13.81    [v0: A_TESL_atomic_list_a_constr_list_bool_fun_fun$] :  ! [v1:
% 92.90/13.81      A_TESL_atomic_list_a_constr_list_bool_fun_fun$] :  ! [v2: A_constr_list$] : 
% 92.90/13.81    ! [v3: A_constr_list_a_TESL_atomic_list_a_constr_list_bool_fun_fun_fun$] : (v1
% 92.90/13.81      = v0 |  ~ (fun_app$ab(v3, v2) = v1) |  ~ (fun_app$ab(v3, v2) = v0)) &  !
% 92.90/13.81    [v0: A_constr_list_a_TESL_atomic_list_bool_fun_fun$] :  ! [v1:
% 92.90/13.81      A_constr_list_a_TESL_atomic_list_bool_fun_fun$] :  ! [v2: A_constr_list$] : 
% 92.90/13.81    ! [v3: A_constr_list_a_constr_list_a_TESL_atomic_list_bool_fun_fun_fun$] : (v1
% 92.90/13.81      = v0 |  ~ (fun_app$aa(v3, v2) = v1) |  ~ (fun_app$aa(v3, v2) = v0)) &  !
% 92.90/13.81    [v0: A_constr_list_a_constr_list_bool_fun_fun$] :  ! [v1:
% 92.90/13.81      A_constr_list_a_constr_list_bool_fun_fun$] :  ! [v2: A_constr_list$] :  !
% 92.90/13.81    [v3: A_constr_list_a_constr_list_a_constr_list_bool_fun_fun_fun$] : (v1 = v0 |
% 92.90/13.81       ~ (fun_app$z(v3, v2) = v1) |  ~ (fun_app$z(v3, v2) = v0)) &  ! [v0:
% 92.90/13.81      A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ! [v1:
% 92.90/13.81      A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ! [v2: A_TESL_atomic_list$]
% 92.90/13.81    :  ! [v3: A_TESL_atomic_bool_fun$] : (v1 = v0 |  ~ (partition$(v3, v2) = v1) |
% 92.90/13.81       ~ (partition$(v3, v2) = v0)) &  ! [v0: A_TESL_atomic_set$] :  ! [v1:
% 92.90/13.81      A_TESL_atomic_set$] :  ! [v2: A_TESL_atomic_set$] :  ! [v3:
% 92.90/13.81      A_TESL_atomic_set$] : (v1 = v0 |  ~ (sup$b(v3, v2) = v1) |  ~ (sup$b(v3, v2)
% 92.90/13.81        = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 92.90/13.81      A_constr$] :  ! [v3: A_constr_bool_fun$] : (v1 = v0 |  ~ (fun_app$y(v3, v2)
% 92.90/13.81        = v1) |  ~ (fun_app$y(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 92.90/13.81    [v1: MultipleValueBool] :  ! [v2: A_constr_set$] :  ! [v3: A_constr$] : (v1 =
% 92.90/13.81      v0 |  ~ (member$q(v3, v2) = v1) |  ~ (member$q(v3, v2) = v0)) &  ! [v0:
% 92.90/13.81      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 92.90/13.81      A_TESL_atomic_set$] :  ! [v3: A_TESL_atomic_set$] : (v1 = v0 |  ~
% 92.90/13.81      (less_eq$e(v3, v2) = v1) |  ~ (less_eq$e(v3, v2) = v0)) &  ! [v0:
% 92.90/13.81      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: A_constr_set$] : 
% 92.90/13.81    ! [v3: A_constr_set$] : (v1 = v0 |  ~ (less_eq$d(v3, v2) = v1) |  ~
% 92.90/13.81      (less_eq$d(v3, v2) = v0)) &  ! [v0: Nat_bool_fun$] :  ! [v1: Nat_bool_fun$]
% 92.90/13.81    :  ! [v2: Nat$] :  ! [v3: Nat_nat_bool_fun_fun$] : (v1 = v0 |  ~
% 92.90/13.81      (fun_app$x(v3, v2) = v1) |  ~ (fun_app$x(v3, v2) = v0)) &  ! [v0:
% 92.90/13.81      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 92.90/13.81      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v3:
% 92.90/13.81      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : (v1 = v0 |  ~
% 92.90/13.81      (less_eq$c(v3, v2) = v1) |  ~ (less_eq$c(v3, v2) = v0)) &  ! [v0:
% 92.90/13.81      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 92.90/13.81      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] :  ! [v3:
% 92.90/13.81      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] : (v1 = v0 |  ~
% 92.90/13.81      (less_eq$b(v3, v2) = v1) |  ~ (less_eq$b(v3, v2) = v0)) &  ! [v0:
% 92.90/13.81      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 92.90/13.81      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$]
% 92.90/13.81    :  ! [v3:
% 92.90/13.81      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$]
% 92.90/13.81    : (v1 = v0 |  ~ (less_eq$a(v3, v2) = v1) |  ~ (less_eq$a(v3, v2) = v0)) &  !
% 92.90/13.81    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: Nat$] :  ! [v3:
% 92.90/13.81      Nat_bool_fun$] : (v1 = v0 |  ~ (fun_app$w(v3, v2) = v1) |  ~ (fun_app$w(v3,
% 92.90/13.81          v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 92.90/13.81    ! [v2: A_run_set$] :  ! [v3: A_run_set$] : (v1 = v0 |  ~ (less_eq$(v3, v2) =
% 92.90/13.82        v1) |  ~ (less_eq$(v3, v2) = v0)) &  ! [v0: A_TESL_atomic_list$] :  ! [v1:
% 92.90/13.82      A_TESL_atomic_list$] :  ! [v2: A_TESL_atomic_list$] :  ! [v3:
% 92.90/13.82      A_TESL_atomic_list$] : (v1 = v0 |  ~ (append$b(v3, v2) = v1) |  ~
% 92.90/13.82      (append$b(v3, v2) = v0)) &  ! [v0: A_TESL_atomic_list_list$] :  ! [v1:
% 92.90/13.82      A_TESL_atomic_list_list$] :  ! [v2: A_TESL_atomic_list_list$] :  ! [v3:
% 92.90/13.82      A_TESL_atomic_list_list$] : (v1 = v0 |  ~ (append$a(v3, v2) = v1) |  ~
% 92.90/13.82      (append$a(v3, v2) = v0)) &  ! [v0: A_constr_list$] :  ! [v1: A_constr_list$]
% 92.90/13.82    :  ! [v2: A_constr_list$] :  ! [v3: A_constr_list$] : (v1 = v0 |  ~
% 92.90/13.82      (append$(v3, v2) = v1) |  ~ (append$(v3, v2) = v0)) &  ! [v0: A_run_set$] : 
% 92.90/13.82    ! [v1: A_run_set$] :  ! [v2: Nat$] :  ! [v3: A_TESL_atomic$] : (v1 = v0 |  ~
% 92.90/13.82      (tESL_interpretation_atomic_stepwise$(v3, v2) = v1) |  ~
% 92.90/13.82      (tESL_interpretation_atomic_stepwise$(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      A_TESL_atomic_a_TESL_atomic_prod$] :  ! [v1:
% 92.90/13.82      A_TESL_atomic_a_TESL_atomic_prod$] :  ! [v2: A_TESL_atomic$] :  ! [v3:
% 92.90/13.82      A_TESL_atomic$] : (v1 = v0 |  ~ (pair$w(v3, v2) = v1) |  ~ (pair$w(v3, v2) =
% 92.90/13.82        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_a_TESL_atomic_prod_set$] :  ! [v3:
% 92.90/13.82      A_TESL_atomic_a_TESL_atomic_prod$] : (v1 = v0 |  ~ (member$p(v3, v2) = v1) |
% 92.90/13.82       ~ (member$p(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 92.90/13.82      MultipleValueBool] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v3:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_prod$] : (v1 = v0 |  ~ (member$o(v3,
% 92.90/13.82          v2) = v1) |  ~ (member$o(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod$] :  ! [v1:
% 92.90/13.82      A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod$] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_list_list$] :  ! [v3: A_TESL_atomic_list_list$] : (v1 = v0 | 
% 92.90/13.82      ~ (pair$v(v3, v2) = v1) |  ~ (pair$v(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] :  ! [v3:
% 92.90/13.82      A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod$] : (v1 = v0 |  ~
% 92.90/13.82      (member$n(v3, v2) = v1) |  ~ (member$n(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod$] :  ! [v1:
% 92.90/13.82      Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod$] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_prod_list$] :  ! [v3: Nat_list$] : (v1
% 92.90/13.82      = v0 |  ~ (pair$u(v3, v2) = v1) |  ~ (pair$u(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 92.90/13.82      Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$] :  !
% 92.90/13.82    [v3: Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod$] : (v1 =
% 92.90/13.82      v0 |  ~ (member$m(v3, v2) = v1) |  ~ (member$m(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 92.90/13.82      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$]
% 92.90/13.82    :  ! [v3:
% 92.90/13.82      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] :
% 92.90/13.82    (v1 = v0 |  ~ (member$l(v3, v2) = v1) |  ~ (member$l(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod$]
% 92.90/13.82    :  ! [v1:
% 92.90/13.82      A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod$]
% 92.90/13.82    :  ! [v2: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$] :  ! [v3:
% 92.90/13.82      A_constr_list_list$] : (v1 = v0 |  ~ (pair$t(v3, v2) = v1) |  ~ (pair$t(v3,
% 92.90/13.82          v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 92.90/13.82    ! [v2:
% 92.90/13.82      A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod_set$]
% 92.90/13.82    :  ! [v3:
% 92.90/13.82      A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod$]
% 92.90/13.82    : (v1 = v0 |  ~ (member$k(v3, v2) = v1) |  ~ (member$k(v3, v2) = v0)) &  !
% 92.90/13.82    [v0: A_TESL_atomic_a_constr_prod$] :  ! [v1: A_TESL_atomic_a_constr_prod$] : 
% 92.90/13.82    ! [v2: A_constr$] :  ! [v3: A_TESL_atomic$] : (v1 = v0 |  ~ (pair$s(v3, v2) =
% 92.90/13.82        v1) |  ~ (pair$s(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 92.90/13.82      MultipleValueBool] :  ! [v2: A_TESL_atomic_a_constr_prod_set$] :  ! [v3:
% 92.90/13.82      A_TESL_atomic_a_constr_prod$] : (v1 = v0 |  ~ (member$j(v3, v2) = v1) |  ~
% 92.90/13.82      (member$j(v3, v2) = v0)) &  ! [v0: A_TESL_atomic_list_a_constr_list_prod$] :
% 92.90/13.82     ! [v1: A_TESL_atomic_list_a_constr_list_prod$] :  ! [v2: A_constr_list$] :  !
% 92.90/13.82    [v3: A_TESL_atomic_list$] : (v1 = v0 |  ~ (pair$r(v3, v2) = v1) |  ~
% 92.90/13.82      (pair$r(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 92.90/13.82      MultipleValueBool] :  ! [v2: A_TESL_atomic_list_a_constr_list_prod_set$] : 
% 92.90/13.82    ! [v3: A_TESL_atomic_list_a_constr_list_prod$] : (v1 = v0 |  ~ (member$i(v3,
% 92.90/13.82          v2) = v1) |  ~ (member$i(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      A_constr_a_TESL_atomic_prod$] :  ! [v1: A_constr_a_TESL_atomic_prod$] :  !
% 92.90/13.82    [v2: A_TESL_atomic$] :  ! [v3: A_constr$] : (v1 = v0 |  ~ (pair$q(v3, v2) =
% 92.90/13.82        v1) |  ~ (pair$q(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 92.90/13.82      MultipleValueBool] :  ! [v2: A_constr_a_TESL_atomic_prod_set$] :  ! [v3:
% 92.90/13.82      A_constr_a_TESL_atomic_prod$] : (v1 = v0 |  ~ (member$h(v3, v2) = v1) |  ~
% 92.90/13.82      (member$h(v3, v2) = v0)) &  ! [v0: A_constr_list_a_TESL_atomic_list_prod$] :
% 92.90/13.82     ! [v1: A_constr_list_a_TESL_atomic_list_prod$] :  ! [v2: A_TESL_atomic_list$]
% 92.90/13.82    :  ! [v3: A_constr_list$] : (v1 = v0 |  ~ (pair$p(v3, v2) = v1) |  ~
% 92.90/13.82      (pair$p(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 92.90/13.82      MultipleValueBool] :  ! [v2: A_constr_list_a_TESL_atomic_list_prod_set$] : 
% 92.90/13.82    ! [v3: A_constr_list_a_TESL_atomic_list_prod$] : (v1 = v0 |  ~ (member$g(v3,
% 92.90/13.82          v2) = v1) |  ~ (member$g(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      A_constr_a_constr_prod$] :  ! [v1: A_constr_a_constr_prod$] :  ! [v2:
% 92.90/13.82      A_constr$] :  ! [v3: A_constr$] : (v1 = v0 |  ~ (pair$o(v3, v2) = v1) |  ~
% 92.90/13.82      (pair$o(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 92.90/13.82      MultipleValueBool] :  ! [v2: A_constr_a_constr_prod_set$] :  ! [v3:
% 92.90/13.82      A_constr_a_constr_prod$] : (v1 = v0 |  ~ (member$f(v3, v2) = v1) |  ~
% 92.90/13.82      (member$f(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 92.90/13.82      MultipleValueBool] :  ! [v2: A_constr_list_a_constr_list_prod_set$] :  !
% 92.90/13.82    [v3: A_constr_list_a_constr_list_prod$] : (v1 = v0 |  ~ (member$e(v3, v2) =
% 92.90/13.82        v1) |  ~ (member$e(v3, v2) = v0)) &  ! [v0: A_TESL_atomic_list$] :  ! [v1:
% 92.90/13.82      A_TESL_atomic_list$] :  ! [v2: A_TESL_atomic_list$] :  ! [v3:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_fun$] : (v1 = v0 |  ~ (fun_app$v(v3,
% 92.90/13.82          v2) = v1) |  ~ (fun_app$v(v3, v2) = v0)) &  ! [v0: A_constr_list$] :  !
% 92.90/13.82    [v1: A_constr_list$] :  ! [v2: A_constr_list$] :  ! [v3:
% 92.90/13.82      A_constr_list_a_constr_list_fun$] : (v1 = v0 |  ~ (fun_app$u(v3, v2) = v1) |
% 92.90/13.82       ~ (fun_app$u(v3, v2) = v0)) &  ! [v0: Nat$] :  ! [v1: Nat$] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_list$] :  ! [v3: Nat$] : (v1 = v0 |  ~ (gen_length$a(v3, v2) =
% 92.90/13.82        v1) |  ~ (gen_length$a(v3, v2) = v0)) &  ! [v0: Nat$] :  ! [v1: Nat$] :  !
% 92.90/13.82    [v2: A_constr_list$] :  ! [v3: Nat$] : (v1 = v0 |  ~ (gen_length$(v3, v2) =
% 92.90/13.82        v1) |  ~ (gen_length$(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_prod_list$] :  ! [v1:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_prod_list$] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_prod_list$] :  ! [v3:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_prod$] : (v1 = v0 |  ~ (cons$m(v3, v2)
% 92.90/13.82        = v1) |  ~ (cons$m(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$] :  ! [v1:
% 92.90/13.82      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_prod_list$] :  ! [v3: Nat$] : (v1 = v0
% 92.90/13.82      |  ~ (enumerate$b(v3, v2) = v1) |  ~ (enumerate$b(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      Nat_a_TESL_atomic_prod_list$] :  ! [v1: Nat_a_TESL_atomic_prod_list$] :  !
% 92.90/13.82    [v2: A_TESL_atomic_list$] :  ! [v3: Nat$] : (v1 = v0 |  ~ (enumerate$a(v3, v2)
% 92.90/13.82        = v1) |  ~ (enumerate$a(v3, v2) = v0)) &  ! [v0: Nat_a_constr_prod_list$]
% 92.90/13.82    :  ! [v1: Nat_a_constr_prod_list$] :  ! [v2: Nat_a_constr_prod_list$] :  !
% 92.90/13.82    [v3: Nat_a_constr_prod$] : (v1 = v0 |  ~ (cons$l(v3, v2) = v1) |  ~
% 92.90/13.82      (cons$l(v3, v2) = v0)) &  ! [v0: Nat_a_constr_prod_list$] :  ! [v1:
% 92.90/13.82      Nat_a_constr_prod_list$] :  ! [v2: A_constr_list$] :  ! [v3: Nat$] : (v1 =
% 92.90/13.82      v0 |  ~ (enumerate$(v3, v2) = v1) |  ~ (enumerate$(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      A_TESL_atomic$] :  ! [v1: A_TESL_atomic$] :  ! [v2: Clock$] :  ! [v3:
% 92.90/13.82      Clock$] : (v1 = v0 |  ~ (impliesNot$(v3, v2) = v1) |  ~ (impliesNot$(v3, v2)
% 92.90/13.82        = v0)) &  ! [v0: A_constr$] :  ! [v1: A_constr$] :  ! [v2: Nat$] :  ! [v3:
% 92.90/13.82      Clock$] : (v1 = v0 |  ~ (notTicks$(v3, v2) = v1) |  ~ (notTicks$(v3, v2) =
% 92.90/13.82        v0)) &  ! [v0: A_constr_list_a_constr_list_prod$] :  ! [v1:
% 92.90/13.82      A_constr_list_a_constr_list_prod$] :  ! [v2: A_constr_list$] :  ! [v3:
% 92.90/13.82      A_constr_list$] : (v1 = v0 |  ~ (pair$n(v3, v2) = v1) |  ~ (pair$n(v3, v2) =
% 92.90/13.82        v0)) &  ! [v0: A_TESL_atomic_list_nat_prod$] :  ! [v1:
% 92.90/13.82      A_TESL_atomic_list_nat_prod$] :  ! [v2: Nat$] :  ! [v3: A_TESL_atomic_list$]
% 92.90/13.82    : (v1 = v0 |  ~ (pair$m(v3, v2) = v1) |  ~ (pair$m(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      A_TESL_atomic_list_bool_fun$] :  ! [v1: A_TESL_atomic_list_bool_fun$] :  !
% 92.90/13.82    [v2: A_TESL_atomic_list$] :  ! [v3:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$] : (v1 = v0 |  ~
% 92.90/13.82      (fun_app$t(v3, v2) = v1) |  ~ (fun_app$t(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      A_constr_list_bool_fun$] :  ! [v1: A_constr_list_bool_fun$] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_list$] :  ! [v3:
% 92.90/13.82      A_TESL_atomic_list_a_constr_list_bool_fun_fun$] : (v1 = v0 |  ~
% 92.90/13.82      (fun_app$s(v3, v2) = v1) |  ~ (fun_app$s(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      A_TESL_atomic_list_bool_fun$] :  ! [v1: A_TESL_atomic_list_bool_fun$] :  !
% 92.90/13.82    [v2: A_constr_list$] :  ! [v3: A_constr_list_a_TESL_atomic_list_bool_fun_fun$]
% 92.90/13.82    : (v1 = v0 |  ~ (fun_app$r(v3, v2) = v1) |  ~ (fun_app$r(v3, v2) = v0)) &  !
% 92.90/13.82    [v0: A_constr_list_bool_fun$] :  ! [v1: A_constr_list_bool_fun$] :  ! [v2:
% 92.90/13.82      A_constr_list$] :  ! [v3: A_constr_list_a_constr_list_bool_fun_fun$] : (v1 =
% 92.90/13.82      v0 |  ~ (fun_app$q(v3, v2) = v1) |  ~ (fun_app$q(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      Nat_nat_bool_fun_fun_nat_list_prod$] :  ! [v1:
% 92.90/13.82      Nat_nat_bool_fun_fun_nat_list_prod$] :  ! [v2: Nat_list$] :  ! [v3:
% 92.90/13.82      Nat_nat_bool_fun_fun$] : (v1 = v0 |  ~ (pair$l(v3, v2) = v1) |  ~
% 92.90/13.82      (pair$l(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_a_TESL_atomic_list_list_prod$]
% 92.90/13.82    :  ! [v1:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_a_TESL_atomic_list_list_prod$]
% 92.90/13.82    :  ! [v2: A_TESL_atomic_list_list$] :  ! [v3:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$] : (v1 = v0 |  ~
% 92.90/13.82      (pair$k(v3, v2) = v1) |  ~ (pair$k(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      A_constr_list_a_constr_list_bool_fun_fun_a_constr_list_list_prod$] :  ! [v1:
% 92.90/13.82      A_constr_list_a_constr_list_bool_fun_fun_a_constr_list_list_prod$] :  ! [v2:
% 92.90/13.82      A_constr_list_list$] :  ! [v3: A_constr_list_a_constr_list_bool_fun_fun$] :
% 92.90/13.82    (v1 = v0 |  ~ (pair$j(v3, v2) = v1) |  ~ (pair$j(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      Nat_a_TESL_atomic_prod_nat_a_TESL_atomic_prod_bool_fun_fun_nat_a_TESL_atomic_prod_list_prod$]
% 92.90/13.82    :  ! [v1:
% 92.90/13.82      Nat_a_TESL_atomic_prod_nat_a_TESL_atomic_prod_bool_fun_fun_nat_a_TESL_atomic_prod_list_prod$]
% 92.90/13.82    :  ! [v2: Nat_a_TESL_atomic_prod_list$] :  ! [v3:
% 92.90/13.82      Nat_a_TESL_atomic_prod_nat_a_TESL_atomic_prod_bool_fun_fun$] : (v1 = v0 |  ~
% 92.90/13.82      (pair$i(v3, v2) = v1) |  ~ (pair$i(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod$]
% 92.90/13.82    :  ! [v1:
% 92.90/13.82      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod$]
% 92.90/13.82    :  ! [v2: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$] :  ! [v3:
% 92.90/13.82      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun_fun$]
% 92.90/13.82    : (v1 = v0 |  ~ (pair$h(v3, v2) = v1) |  ~ (pair$h(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      Nat_list_list$] :  ! [v1: Nat_list_list$] :  ! [v2: Nat_list_list$] :  !
% 92.90/13.82    [v3: Nat_list$] : (v1 = v0 |  ~ (cons$k(v3, v2) = v1) |  ~ (cons$k(v3, v2) =
% 92.90/13.82        v0)) &  ! [v0: A_TESL_atomic_list_list_list$] :  ! [v1:
% 92.90/13.82      A_TESL_atomic_list_list_list$] :  ! [v2: A_TESL_atomic_list_list_list$] :  !
% 92.90/13.82    [v3: A_TESL_atomic_list_list$] : (v1 = v0 |  ~ (cons$j(v3, v2) = v1) |  ~
% 92.90/13.82      (cons$j(v3, v2) = v0)) &  ! [v0: A_constr_list_list_list$] :  ! [v1:
% 92.90/13.82      A_constr_list_list_list$] :  ! [v2: A_constr_list_list_list$] :  ! [v3:
% 92.90/13.82      A_constr_list_list$] : (v1 = v0 |  ~ (cons$i(v3, v2) = v1) |  ~ (cons$i(v3,
% 92.90/13.82          v2) = v0)) &  ! [v0: Nat_a_TESL_atomic_prod_list_list$] :  ! [v1:
% 92.90/13.82      Nat_a_TESL_atomic_prod_list_list$] :  ! [v2:
% 92.90/13.82      Nat_a_TESL_atomic_prod_list_list$] :  ! [v3: Nat_a_TESL_atomic_prod_list$] :
% 92.90/13.82    (v1 = v0 |  ~ (cons$h(v3, v2) = v1) |  ~ (cons$h(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_list$] :  ! [v1:
% 92.90/13.82      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_list$] :  ! [v2:
% 92.90/13.82      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_list$] :  ! [v3:
% 92.90/13.82      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$] : (v1 = v0 |  ~
% 92.90/13.82      (cons$g(v3, v2) = v1) |  ~ (cons$g(v3, v2) = v0)) &  ! [v0: A_TESL_atomic$]
% 92.90/13.82    :  ! [v1: A_TESL_atomic$] :  ! [v2: Clock$] :  ! [v3: Clock$] : (v1 = v0 |  ~
% 92.90/13.82      (kills$(v3, v2) = v1) |  ~ (kills$(v3, v2) = v0)) &  ! [v0: A_constr$] :  !
% 92.90/13.82    [v1: A_constr$] :  ! [v2: Nat$] :  ! [v3: Clock$] : (v1 = v0 |  ~
% 92.90/13.82      (notTicksFrom$(v3, v2) = v1) |  ~ (notTicksFrom$(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      Nat_list$] :  ! [v1: Nat_list$] :  ! [v2: Nat_list$] :  ! [v3: Nat$] : (v1 =
% 92.90/13.82      v0 |  ~ (cons$f(v3, v2) = v1) |  ~ (cons$f(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      A_TESL_atomic_list_list$] :  ! [v1: A_TESL_atomic_list_list$] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_list_list$] :  ! [v3: A_TESL_atomic_list$] : (v1 = v0 |  ~
% 92.90/13.82      (cons$e(v3, v2) = v1) |  ~ (cons$e(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      A_constr_list_list$] :  ! [v1: A_constr_list_list$] :  ! [v2:
% 92.90/13.82      A_constr_list_list$] :  ! [v3: A_constr_list$] : (v1 = v0 |  ~ (cons$d(v3,
% 92.90/13.82          v2) = v1) |  ~ (cons$d(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      Nat_a_TESL_atomic_prod_list$] :  ! [v1: Nat_a_TESL_atomic_prod_list$] :  !
% 92.90/13.82    [v2: Nat_a_TESL_atomic_prod_list$] :  ! [v3: Nat_a_TESL_atomic_prod$] : (v1 =
% 92.90/13.82      v0 |  ~ (cons$c(v3, v2) = v1) |  ~ (cons$c(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$] :  ! [v1:
% 92.90/13.82      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$] :  ! [v2:
% 92.90/13.82      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$] :  ! [v3:
% 92.90/13.82      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] : (v1 = v0 |  ~
% 92.90/13.82      (cons$b(v3, v2) = v1) |  ~ (cons$b(v3, v2) = v0)) &  ! [v0: A_TESL_atomic$]
% 92.90/13.82    :  ! [v1: A_TESL_atomic$] :  ! [v2: Clock$] :  ! [v3: Clock$] : (v1 = v0 |  ~
% 92.90/13.82      (implies$(v3, v2) = v1) |  ~ (implies$(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      Int_int_fun$] :  ! [v1: Int_int_fun$] :  ! [v2: int] :  ! [v3:
% 92.90/13.82      Int_int_int_fun_fun$] : (v1 = v0 |  ~ (fun_app$p(v3, v2) = v1) |  ~
% 92.90/13.82      (fun_app$p(v3, v2) = v0)) &  ! [v0: int] :  ! [v1: int] :  ! [v2: int] :  !
% 92.90/13.82    [v3: Int_int_fun$] : (v1 = v0 |  ~ (fun_app$o(v3, v2) = v1) |  ~
% 92.90/13.82      (fun_app$o(v3, v2) = v0)) &  ! [v0: A_TESL_atomic_list_set$] :  ! [v1:
% 92.90/13.82      A_TESL_atomic_list_set$] :  ! [v2: A_TESL_atomic_list_set$] :  ! [v3:
% 92.90/13.82      A_TESL_atomic_list_set$] : (v1 = v0 |  ~ (inf$d(v3, v2) = v1) |  ~
% 92.90/13.82      (inf$d(v3, v2) = v0)) &  ! [v0: A_constr_list_set$] :  ! [v1:
% 92.90/13.82      A_constr_list_set$] :  ! [v2: A_constr_list_set$] :  ! [v3:
% 92.90/13.82      A_constr_list_set$] : (v1 = v0 |  ~ (inf$c(v3, v2) = v1) |  ~ (inf$c(v3, v2)
% 92.90/13.82        = v0)) &  ! [v0: A_TESL_atomic_set$] :  ! [v1: A_TESL_atomic_set$] :  !
% 92.90/13.82    [v2: A_TESL_atomic_set$] :  ! [v3: A_TESL_atomic_set$] : (v1 = v0 |  ~
% 92.90/13.82      (inf$b(v3, v2) = v1) |  ~ (inf$b(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] :  ! [v1:
% 92.90/13.82      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] :  ! [v2:
% 92.90/13.82      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] :  ! [v3:
% 92.90/13.82      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] : (v1 = v0 |  ~
% 92.90/13.82      (inf$a(v3, v2) = v1) |  ~ (inf$a(v3, v2) = v0)) &  ! [v0: A_constr_list$] : 
% 92.90/13.82    ! [v1: A_constr_list$] :  ! [v2: A_constr_list$] :  ! [v3: A_constr$] : (v1 =
% 92.90/13.82      v0 |  ~ (cons$(v3, v2) = v1) |  ~ (cons$(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ! [v3:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun$] : (v1 = v0 |  ~
% 92.90/13.82      (fun_app$n(v3, v2) = v1) |  ~ (fun_app$n(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$] :  ! [v3:
% 92.90/13.82      A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod_bool_fun$]
% 92.90/13.82    : (v1 = v0 |  ~ (fun_app$m(v3, v2) = v1) |  ~ (fun_app$m(v3, v2) = v0)) &  !
% 92.90/13.82    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$]
% 92.90/13.82    :  ! [v3:
% 92.90/13.82      A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$]
% 92.90/13.82    : (v1 = v0 |  ~ (fun_app$l(v3, v2) = v1) |  ~ (fun_app$l(v3, v2) = v0)) &  !
% 92.90/13.82    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 92.90/13.82      A_constr_a_constr_bool_fun_fun_a_constr_list_prod$] :  ! [v3:
% 92.90/13.82      A_constr_a_constr_bool_fun_fun_a_constr_list_prod_bool_fun$] : (v1 = v0 |  ~
% 92.90/13.82      (fun_app$k(v3, v2) = v1) |  ~ (fun_app$k(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 92.90/13.82      Nat_a_TESL_atomic_prod$] :  ! [v3: Nat_a_TESL_atomic_prod_bool_fun$] : (v1 =
% 92.90/13.82      v0 |  ~ (fun_app$j(v3, v2) = v1) |  ~ (fun_app$j(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 92.90/13.82      Nat_a_constr_prod$] :  ! [v3: Nat_a_constr_prod_bool_fun$] : (v1 = v0 |  ~
% 92.90/13.82      (fun_app$i(v3, v2) = v1) |  ~ (fun_app$i(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$] :  ! [v1:
% 92.90/13.82      A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_list$] :  ! [v3: A_TESL_atomic_a_TESL_atomic_bool_fun_fun$] :
% 92.90/13.82    (v1 = v0 |  ~ (pair$g(v3, v2) = v1) |  ~ (pair$g(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$]
% 92.90/13.82    :  ! [v1:
% 92.90/13.82      A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$]
% 92.90/13.82    :  ! [v2: A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ! [v3:
% 92.90/13.82      A_TESL_atomic_a_TESL_atomic_fun$] : (v1 = v0 |  ~ (pair$f(v3, v2) = v1) |  ~
% 92.90/13.82      (pair$f(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      A_constr_a_constr_bool_fun_fun_a_constr_list_prod$] :  ! [v1:
% 92.90/13.82      A_constr_a_constr_bool_fun_fun_a_constr_list_prod$] :  ! [v2:
% 92.90/13.82      A_constr_list$] :  ! [v3: A_constr_a_constr_bool_fun_fun$] : (v1 = v0 |  ~
% 92.90/13.82      (pair$e(v3, v2) = v1) |  ~ (pair$e(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      Nat_a_TESL_atomic_prod$] :  ! [v1: Nat_a_TESL_atomic_prod$] :  ! [v2:
% 92.90/13.82      A_TESL_atomic$] :  ! [v3: Nat$] : (v1 = v0 |  ~ (pair$d(v3, v2) = v1) |  ~
% 92.90/13.82      (pair$d(v3, v2) = v0)) &  ! [v0: Nat_a_constr_prod$] :  ! [v1:
% 92.90/13.82      Nat_a_constr_prod$] :  ! [v2: A_constr$] :  ! [v3: Nat$] : (v1 = v0 |  ~
% 92.90/13.82      (pair$c(v3, v2) = v1) |  ~ (pair$c(v3, v2) = v0)) &  ! [v0: A_constr$] :  !
% 92.90/13.82    [v1: A_constr$] :  ! [v2: Nat$] :  ! [v3: Clock$] : (v1 = v0 |  ~ (ticks$(v3,
% 92.90/13.82          v2) = v1) |  ~ (ticks$(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 92.90/13.82    [v1: MultipleValueBool] :  ! [v2:
% 92.90/13.82      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] : 
% 92.90/13.82    ! [v3:
% 92.90/13.82      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$]
% 92.90/13.82    : (v1 = v0 |  ~ (fun_app$h(v3, v2) = v1) |  ~ (fun_app$h(v3, v2) = v0)) &  !
% 92.90/13.82    [v0: A_TESL_atomic_list$] :  ! [v1: A_TESL_atomic_list$] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_list$] :  ! [v3: A_TESL_atomic$] : (v1 = v0 |  ~ (cons$a(v3,
% 92.90/13.82          v2) = v1) |  ~ (cons$a(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      A_run_set_a_run_set_fun$] :  ! [v1: A_run_set_a_run_set_fun$] :  ! [v2:
% 92.90/13.82      A_run_set$] :  ! [v3: A_run_set_a_run_set_a_run_set_fun_fun$] : (v1 = v0 | 
% 92.90/13.82      ~ (fun_app$f(v3, v2) = v1) |  ~ (fun_app$f(v3, v2) = v0)) &  ! [v0: int] : 
% 92.90/13.82    ! [v1: int] :  ! [v2: Nat$] :  ! [v3: Nat_int_fun$] : (v1 = v0 |  ~
% 92.90/13.82      (fun_app$g(v3, v2) = v1) |  ~ (fun_app$g(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      A_run_set$] :  ! [v1: A_run_set$] :  ! [v2: Nat$] :  ! [v3:
% 92.90/13.82      A_TESL_atomic_list$] : (v1 = v0 |  ~ (tESL_interpretation_stepwise$(v3, v2)
% 92.90/13.82        = v1) |  ~ (tESL_interpretation_stepwise$(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      A_run_set$] :  ! [v1: A_run_set$] :  ! [v2: A_run_set$] :  ! [v3:
% 92.90/13.82      A_run_set_a_run_set_fun$] : (v1 = v0 |  ~ (fun_app$e(v3, v2) = v1) |  ~
% 92.90/13.82      (fun_app$e(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ! [v1:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ! [v2: A_TESL_atomic_list$]
% 92.90/13.82    :  ! [v3: A_TESL_atomic_list$] : (v1 = v0 |  ~ (pair$b(v3, v2) = v1) |  ~
% 92.90/13.82      (pair$b(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ! [v1:
% 92.90/13.82      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ! [v3: Nat$] : (v1 = v0 |  ~
% 92.90/13.82      (pair$a(v3, v2) = v1) |  ~ (pair$a(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] : 
% 92.90/13.82    ! [v1:
% 92.90/13.82      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] : 
% 92.90/13.82    ! [v2: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ! [v3:
% 92.90/13.82      A_constr_list$] : (v1 = v0 |  ~ (pair$(v3, v2) = v1) |  ~ (pair$(v3, v2) =
% 92.90/13.82        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 92.90/13.82      A_run$] :  ! [v3: A_run_bool_fun$] : (v1 = v0 |  ~ (fun_app$d(v3, v2) = v1)
% 92.90/13.82      |  ~ (fun_app$d(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 92.90/13.82      MultipleValueBool] :  ! [v2: A_run_set$] :  ! [v3: A_run$] : (v1 = v0 |  ~
% 92.90/13.82      (member$d(v3, v2) = v1) |  ~ (member$d(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_list$] :  ! [v3: A_TESL_atomic_list_bool_fun$] : (v1 = v0 |  ~
% 92.90/13.82      (fun_app$c(v3, v2) = v1) |  ~ (fun_app$c(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_list_set$] :  ! [v3: A_TESL_atomic_list$] : (v1 = v0 |  ~
% 92.90/13.82      (member$c(v3, v2) = v1) |  ~ (member$c(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: A_constr_list$] : 
% 92.90/13.82    ! [v3: A_constr_list_bool_fun$] : (v1 = v0 |  ~ (fun_app$b(v3, v2) = v1) |  ~
% 92.90/13.82      (fun_app$b(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 92.90/13.82      MultipleValueBool] :  ! [v2: A_constr_list_set$] :  ! [v3: A_constr_list$] :
% 92.90/13.82    (v1 = v0 |  ~ (member$b(v3, v2) = v1) |  ~ (member$b(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: A_TESL_atomic$] : 
% 92.90/13.82    ! [v3: A_TESL_atomic_bool_fun$] : (v1 = v0 |  ~ (fun_app$a(v3, v2) = v1) |  ~
% 92.90/13.82      (fun_app$a(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 92.90/13.82      MultipleValueBool] :  ! [v2: A_TESL_atomic_set$] :  ! [v3: A_TESL_atomic$] :
% 92.90/13.82    (v1 = v0 |  ~ (member$a(v3, v2) = v1) |  ~ (member$a(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 92.90/13.82      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ! [v3:
% 92.90/13.82      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$] : (v1 = v0 | 
% 92.90/13.82      ~ (fun_app$(v3, v2) = v1) |  ~ (fun_app$(v3, v2) = v0)) &  ! [v0:
% 92.90/13.82      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 92.90/13.82      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] :  ! [v3:
% 92.90/13.82      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] : (v1 = v0 |  ~
% 92.90/13.82      (member$(v3, v2) = v1) |  ~ (member$(v3, v2) = v0)) &  ! [v0: Nat$] :  !
% 92.90/13.82    [v1: Nat$] :  ! [v2: A_TESL_atomic_list$] : (v1 = v0 |  ~ (size$b(v2) = v1) | 
% 92.90/13.82      ~ (size$b(v2) = v0)) &  ! [v0: Nat$] :  ! [v1: Nat$] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_list_list$] : (v1 = v0 |  ~ (size$a(v2) = v1) |  ~ (size$a(v2)
% 92.90/13.82        = v0)) &  ! [v0: A_constr_list_a_constr_list_prod_set$] :  ! [v1:
% 92.90/13.82      A_constr_list_a_constr_list_prod_set$] :  ! [v2:
% 92.90/13.82      A_constr_a_constr_prod_set$] : (v1 = v0 |  ~ (lex$b(v2) = v1) |  ~
% 92.90/13.82      (lex$b(v2) = v0)) &  ! [v0: Nat$] :  ! [v1: Nat$] :  ! [v2: A_constr_list$]
% 92.90/13.82    : (v1 = v0 |  ~ (size$(v2) = v1) |  ~ (size$(v2) = v0)) &  ! [v0:
% 92.90/13.82      A_TESL_atomic$] :  ! [v1: A_TESL_atomic$] :  ! [v2: A_TESL_atomic_set$] :
% 92.90/13.82    (v1 = v0 |  ~ (the_elem$a(v2) = v1) |  ~ (the_elem$a(v2) = v0)) &  ! [v0:
% 92.90/13.82      A_constr$] :  ! [v1: A_constr$] :  ! [v2: A_constr_set$] : (v1 = v0 |  ~
% 92.90/13.82      (the_elem$(v2) = v1) |  ~ (the_elem$(v2) = v0)) &  ! [v0:
% 92.90/13.82      A_TESL_atomic_list_list$] :  ! [v1: A_TESL_atomic_list_list$] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_list$] : (v1 = v0 |  ~ (subseqs$a(v2) = v1) |  ~
% 92.90/13.82      (subseqs$a(v2) = v0)) &  ! [v0: A_constr_list_list$] :  ! [v1:
% 92.90/13.82      A_constr_list_list$] :  ! [v2: A_constr_list$] : (v1 = v0 |  ~ (subseqs$(v2)
% 92.90/13.82        = v1) |  ~ (subseqs$(v2) = v0)) &  ! [v0: A_constr_list_set$] :  ! [v1:
% 92.90/13.82      A_constr_list_set$] :  ! [v2: A_constr_list_list$] : (v1 = v0 |  ~
% 92.90/13.82      (set$c(v2) = v1) |  ~ (set$c(v2) = v0)) &  ! [v0: A_constr_list_bool_fun$] :
% 92.90/13.82     ! [v1: A_constr_list_bool_fun$] :  ! [v2: A_constr$] : (v1 = v0 |  ~
% 92.90/13.82      (context_independency$(v2) = v1) |  ~ (context_independency$(v2) = v0)) &  !
% 92.90/13.82    [v0: A_TESL_atomic_list_set$] :  ! [v1: A_TESL_atomic_list_set$] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_list_list$] : (v1 = v0 |  ~ (set$b(v2) = v1) |  ~ (set$b(v2) =
% 92.90/13.82        v0)) &  ! [v0: A_TESL_atomic_set$] :  ! [v1: A_TESL_atomic_set$] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_list$] : (v1 = v0 |  ~ (set$a(v2) = v1) |  ~ (set$a(v2) = v0))
% 92.90/13.82    &  ! [v0: A_constr_set$] :  ! [v1: A_constr_set$] :  ! [v2: A_constr_list$] :
% 92.90/13.82    (v1 = v0 |  ~ (set$(v2) = v1) |  ~ (set$(v2) = v0)) &  ! [v0:
% 92.90/13.82      A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] :  ! [v1:
% 92.90/13.82      A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : (v1 = v0 |  ~ (lex$a(v2)
% 92.90/13.82        = v1) |  ~ (lex$a(v2) = v0)) &  ! [v0:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v1:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_a_TESL_atomic_prod_set$] : (v1 = v0 |  ~ (lex$(v2) = v1) |  ~
% 92.90/13.82      (lex$(v2) = v0)) &  ! [v0: A_TESL_atomic_list$] :  ! [v1:
% 92.90/13.82      A_TESL_atomic_list$] :  ! [v2: A_TESL_atomic_list$] : (v1 = v0 |  ~
% 92.90/13.82      (rotate1$a(v2) = v1) |  ~ (rotate1$a(v2) = v0)) &  ! [v0: A_constr_list$] : 
% 92.90/13.82    ! [v1: A_constr_list$] :  ! [v2: A_constr_list$] : (v1 = v0 |  ~ (rotate1$(v2)
% 92.90/13.82        = v1) |  ~ (rotate1$(v2) = v0)) &  ! [v0: A_run_set$] :  ! [v1:
% 92.90/13.82      A_run_set$] :  ! [v2: A_TESL_atomic_list$] : (v1 = v0 |  ~
% 92.90/13.82      (tESL_interpretation$(v2) = v1) |  ~ (tESL_interpretation$(v2) = v0)) &  !
% 92.90/13.82    [v0: A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] :  ! [v1:
% 92.90/13.82      A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : (v1 = v0 |  ~
% 92.90/13.82      (lenlex$a(v2) = v1) |  ~ (lenlex$a(v2) = v0)) &  ! [v0:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v1:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_a_TESL_atomic_prod_set$] : (v1 = v0 |  ~ (lenlex$(v2) = v1) | 
% 92.90/13.82      ~ (lenlex$(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 92.90/13.82      MultipleValueBool] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : (v1 = v0 |  ~
% 92.90/13.82      (irrefl$a(v2) = v1) |  ~ (irrefl$a(v2) = v0)) &  ! [v0: MultipleValueBool] :
% 92.90/13.82     ! [v1: MultipleValueBool] :  ! [v2: A_TESL_atomic_a_TESL_atomic_prod_set$] :
% 92.90/13.82    (v1 = v0 |  ~ (irrefl$(v2) = v1) |  ~ (irrefl$(v2) = v0)) &  ! [v0:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v1:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_a_TESL_atomic_prod_set$] : (v1 = v0 |  ~ (listrel1$b(v2) = v1)
% 92.90/13.82      |  ~ (listrel1$b(v2) = v0)) &  ! [v0:
% 92.90/13.82      A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] :  ! [v1:
% 92.90/13.82      A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : (v1 = v0 |  ~
% 92.90/13.82      (listrel1$a(v2) = v1) |  ~ (listrel1$a(v2) = v0)) &  ! [v0:
% 92.90/13.82      A_constr_list_a_constr_list_prod_set$] :  ! [v1:
% 92.90/13.82      A_constr_list_a_constr_list_prod_set$] :  ! [v2:
% 92.90/13.82      A_constr_a_constr_prod_set$] : (v1 = v0 |  ~ (listrel1$(v2) = v1) |  ~
% 92.90/13.82      (listrel1$(v2) = v0)) &  ! [v0: A_run_set$] :  ! [v1: A_run_set$] :  ! [v2:
% 92.90/13.82      A_constr$] : (v1 = v0 |  ~ (symbolic_run_interpretation_primitive$(v2) = v1)
% 92.90/13.82      |  ~ (symbolic_run_interpretation_primitive$(v2) = v0)) &  ! [v0:
% 92.90/13.82      A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] :  ! [v1:
% 92.90/13.82      A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : (v1 = v0 |  ~
% 92.90/13.82      (lexord$b(v2) = v1) |  ~ (lexord$b(v2) = v0)) &  ! [v0:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v1:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_a_TESL_atomic_prod_set$] : (v1 = v0 |  ~ (lexord$a(v2) = v1) |
% 92.90/13.82       ~ (lexord$a(v2) = v0)) &  ! [v0: A_constr_list_a_constr_list_prod_set$] : 
% 92.90/13.82    ! [v1: A_constr_list_a_constr_list_prod_set$] :  ! [v2:
% 92.90/13.82      A_constr_a_constr_prod_set$] : (v1 = v0 |  ~ (lexord$(v2) = v1) |  ~
% 92.90/13.82      (lexord$(v2) = v0)) &  ! [v0:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v1:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_a_TESL_atomic_prod_set$] : (v1 = v0 |  ~ (listrel$f(v2) = v1)
% 92.90/13.82      |  ~ (listrel$f(v2) = v0)) &  ! [v0:
% 92.90/13.82      A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] :  ! [v1:
% 92.90/13.82      A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] :  ! [v2:
% 92.90/13.82      A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : (v1 = v0 |  ~
% 92.90/13.82      (listrel$e(v2) = v1) |  ~ (listrel$e(v2) = v0)) &  ! [v0:
% 92.90/13.82      Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$] :  !
% 92.90/13.82    [v1: Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$] :  !
% 92.90/13.82    [v2: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] : (v1 = v0 |  ~
% 92.90/13.83      (listrel$d(v2) = v1) |  ~ (listrel$d(v2) = v0)) &  ! [v0:
% 92.90/13.83      A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod_set$]
% 92.90/13.83    :  ! [v1:
% 92.90/13.83      A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod_set$]
% 92.90/13.83    :  ! [v2:
% 92.90/13.83      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$]
% 92.90/13.83    : (v1 = v0 |  ~ (listrel$c(v2) = v1) |  ~ (listrel$c(v2) = v0)) &  ! [v0:
% 92.90/13.83      A_TESL_atomic_list_a_constr_list_prod_set$] :  ! [v1:
% 92.90/13.83      A_TESL_atomic_list_a_constr_list_prod_set$] :  ! [v2:
% 92.90/13.83      A_TESL_atomic_a_constr_prod_set$] : (v1 = v0 |  ~ (listrel$b(v2) = v1) |  ~
% 92.90/13.83      (listrel$b(v2) = v0)) &  ! [v0: A_constr_list_a_TESL_atomic_list_prod_set$]
% 92.90/13.83    :  ! [v1: A_constr_list_a_TESL_atomic_list_prod_set$] :  ! [v2:
% 92.90/13.83      A_constr_a_TESL_atomic_prod_set$] : (v1 = v0 |  ~ (listrel$a(v2) = v1) |  ~
% 92.90/13.83      (listrel$a(v2) = v0)) &  ! [v0: A_constr_list_a_constr_list_prod_set$] :  !
% 92.90/13.83    [v1: A_constr_list_a_constr_list_prod_set$] :  ! [v2:
% 92.90/13.83      A_constr_a_constr_prod_set$] : (v1 = v0 |  ~ (listrel$(v2) = v1) |  ~
% 92.90/13.83      (listrel$(v2) = v0)) &  ! [v0: A_TESL_atomic_list_a_TESL_atomic_list_fun$] :
% 92.90/13.83     ! [v1: A_TESL_atomic_list_a_TESL_atomic_list_fun$] :  ! [v2: A_TESL_atomic$]
% 92.90/13.83    : (v1 = v0 |  ~ (insert$a(v2) = v1) |  ~ (insert$a(v2) = v0)) &  ! [v0:
% 92.90/13.83      A_constr_list_a_constr_list_fun$] :  ! [v1:
% 92.90/13.83      A_constr_list_a_constr_list_fun$] :  ! [v2: A_constr$] : (v1 = v0 |  ~
% 92.90/13.83      (insert$(v2) = v1) |  ~ (insert$(v2) = v0)) &  ! [v0:
% 92.90/13.83      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$]
% 92.90/13.83    :  ! [v1:
% 92.90/13.83      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$]
% 92.90/13.83    :  ! [v2:
% 92.90/13.83      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] :
% 92.90/13.83    (v1 = v0 |  ~ (operational_semantics_intro$(v2) = v1) |  ~
% 92.90/13.83      (operational_semantics_intro$(v2) = v0)) &  ! [v0:
% 92.90/13.83      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$]
% 92.90/13.83    :  ! [v1:
% 92.90/13.83      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$]
% 92.90/13.83    :  ! [v2:
% 92.90/13.83      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] :
% 92.90/13.83    (v1 = v0 |  ~ (operational_semantics_step$(v2) = v1) |  ~
% 92.90/13.83      (operational_semantics_step$(v2) = v0)) &  ! [v0:
% 92.90/13.83      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$]
% 92.90/13.83    :  ! [v1:
% 92.90/13.83      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$]
% 92.90/13.83    :  ! [v2:
% 92.90/13.83      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$]
% 92.90/13.83    : (v1 = v0 |  ~ (accp$(v2) = v1) |  ~ (accp$(v2) = v0)) &  ! [v0:
% 92.90/13.83      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$]
% 92.90/13.83    :  ! [v1:
% 92.90/13.83      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$]
% 92.90/13.83    :  ! [v2:
% 92.90/13.83      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] :
% 92.90/13.83    (v1 = v0 |  ~ (operational_semantics_elim_inv$(v2) = v1) |  ~
% 92.90/13.83      (operational_semantics_elim_inv$(v2) = v0)) &  ! [v0: A_run_set$] :  ! [v1:
% 92.90/13.83      A_run_set$] :  ! [v2: A_run_bool_fun$] : (v1 = v0 |  ~ (collect$d(v2) = v1)
% 92.90/13.83      |  ~ (collect$d(v2) = v0)) &  ! [v0: A_TESL_atomic_list_set$] :  ! [v1:
% 92.90/13.83      A_TESL_atomic_list_set$] :  ! [v2: A_TESL_atomic_list_bool_fun$] : (v1 = v0
% 92.90/13.83      |  ~ (collect$c(v2) = v1) |  ~ (collect$c(v2) = v0)) &  ! [v0:
% 92.90/13.83      A_constr_list_set$] :  ! [v1: A_constr_list_set$] :  ! [v2:
% 92.90/13.83      A_constr_list_bool_fun$] : (v1 = v0 |  ~ (collect$b(v2) = v1) |  ~
% 92.90/13.83      (collect$b(v2) = v0)) &  ! [v0: A_TESL_atomic_set$] :  ! [v1:
% 92.90/13.83      A_TESL_atomic_set$] :  ! [v2: A_TESL_atomic_bool_fun$] : (v1 = v0 |  ~
% 92.90/13.83      (collect$a(v2) = v1) |  ~ (collect$a(v2) = v0)) &  ! [v0:
% 92.90/13.83      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] :  ! [v1:
% 92.90/13.83      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] :  ! [v2:
% 92.90/13.83      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$] : (v1 = v0 | 
% 92.90/13.83      ~ (collect$(v2) = v1) |  ~ (collect$(v2) = v0)) &  ! [v0:
% 92.90/13.83      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$]
% 92.90/13.83    :  ! [v1:
% 92.90/13.83      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$]
% 92.90/13.83    :  ! [v2:
% 92.90/13.83      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] :
% 92.90/13.83    (v1 = v0 |  ~ (operational_semantics_elim$(v2) = v1) |  ~
% 92.90/13.83      (operational_semantics_elim$(v2) = v0)) &  ! [v0: A_run_set$] :  ! [v1:
% 92.90/13.83      A_run_set$] :  ! [v2:
% 92.90/13.83      A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] :
% 92.90/13.83    (v1 = v0 |  ~ (heronConf_interpretation$(v2) = v1) |  ~
% 92.90/13.83      (heronConf_interpretation$(v2) = v0)) &  ! [v0: A_run_set$] :  ! [v1:
% 92.90/13.83      A_run_set$] :  ! [v2: A_constr_list$] : (v1 = v0 |  ~
% 92.90/13.83      (symbolic_run_interpretation$(v2) = v1) |  ~
% 92.90/13.83      (symbolic_run_interpretation$(v2) = v0)) &  ! [v0: Nat$] :  ! [v1: Nat$] : 
% 92.90/13.83    ! [v2: int] : (v1 = v0 |  ~ (nat$(v2) = v1) |  ~ (nat$(v2) = v0)) &  ! [v0:
% 92.90/13.83      A_run_bool_fun$] :  ! [v1: A_run_bool_fun$] :  ! [v2: A_run_set$] : (v1 = v0
% 92.90/13.83      |  ~ (uud$(v2) = v1) |  ~ (uud$(v2) = v0)) &  ! [v0:
% 92.90/13.83      A_TESL_atomic_list_bool_fun$] :  ! [v1: A_TESL_atomic_list_bool_fun$] :  !
% 92.90/13.83    [v2: A_TESL_atomic_list_set$] : (v1 = v0 |  ~ (uuc$(v2) = v1) |  ~ (uuc$(v2) =
% 92.90/13.83        v0)) &  ! [v0: A_constr_list_bool_fun$] :  ! [v1: A_constr_list_bool_fun$]
% 92.90/13.83    :  ! [v2: A_constr_list_set$] : (v1 = v0 |  ~ (uub$(v2) = v1) |  ~ (uub$(v2) =
% 92.90/13.83        v0)) &  ! [v0: A_TESL_atomic_bool_fun$] :  ! [v1: A_TESL_atomic_bool_fun$]
% 92.90/13.83    :  ! [v2: A_TESL_atomic_set$] : (v1 = v0 |  ~ (uua$(v2) = v1) |  ~ (uua$(v2) =
% 92.90/13.83        v0)) &  ! [v0:
% 92.90/13.83      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$] :  ! [v1:
% 92.90/13.83      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$] :  ! [v2:
% 92.90/13.83      Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] : (v1 = v0 |  ~
% 92.90/13.83      (uu$(v2) = v1) |  ~ (uu$(v2) = v0))
% 92.90/13.83  
% 92.90/13.83  Further assumptions not needed in the proof:
% 92.90/13.83  --------------------------------------------
% 92.90/13.83  axiom0, axiom1, axiom100, axiom101, axiom102, axiom103, axiom104, axiom105,
% 92.90/13.83  axiom106, axiom107, axiom108, axiom109, axiom11, axiom110, axiom111, axiom112,
% 92.90/13.83  axiom113, axiom114, axiom115, axiom116, axiom117, axiom118, axiom119, axiom12,
% 92.90/13.83  axiom120, axiom121, axiom122, axiom123, axiom124, axiom125, axiom126, axiom127,
% 92.90/13.83  axiom128, axiom129, axiom13, axiom130, axiom131, axiom132, axiom133, axiom134,
% 92.90/13.83  axiom135, axiom136, axiom137, axiom138, axiom139, axiom14, axiom140, axiom141,
% 92.90/13.83  axiom142, axiom143, axiom144, axiom145, axiom146, axiom147, axiom148, axiom149,
% 92.90/13.83  axiom15, axiom150, axiom151, axiom152, axiom153, axiom154, axiom155, axiom156,
% 92.90/13.83  axiom157, axiom158, axiom159, axiom16, axiom160, axiom161, axiom162, axiom163,
% 92.90/13.83  axiom164, axiom165, axiom166, axiom167, axiom168, axiom169, axiom17, axiom170,
% 92.90/13.83  axiom171, axiom172, axiom173, axiom174, axiom175, axiom176, axiom177, axiom178,
% 92.90/13.83  axiom179, axiom18, axiom180, axiom181, axiom182, axiom183, axiom184, axiom185,
% 92.90/13.83  axiom186, axiom187, axiom188, axiom189, axiom19, axiom190, axiom191, axiom192,
% 92.90/13.83  axiom193, axiom194, axiom195, axiom196, axiom197, axiom198, axiom199, axiom2,
% 92.90/13.83  axiom20, axiom200, axiom201, axiom202, axiom203, axiom204, axiom205, axiom206,
% 92.90/13.83  axiom207, axiom208, axiom209, axiom21, axiom210, axiom211, axiom212, axiom213,
% 92.90/13.83  axiom214, axiom215, axiom216, axiom217, axiom218, axiom219, axiom22, axiom220,
% 92.90/13.83  axiom221, axiom222, axiom223, axiom224, axiom225, axiom226, axiom227, axiom228,
% 92.90/13.83  axiom229, axiom23, axiom230, axiom231, axiom232, axiom233, axiom234, axiom235,
% 92.90/13.83  axiom236, axiom237, axiom238, axiom239, axiom24, axiom240, axiom241, axiom242,
% 92.90/13.83  axiom243, axiom244, axiom245, axiom246, axiom247, axiom248, axiom249, axiom25,
% 92.90/13.83  axiom250, axiom251, axiom252, axiom253, axiom254, axiom255, axiom256, axiom257,
% 92.90/13.83  axiom258, axiom259, axiom26, axiom260, axiom261, axiom262, axiom263, axiom264,
% 92.90/13.83  axiom265, axiom266, axiom267, axiom268, axiom269, axiom27, axiom270, axiom271,
% 92.90/13.83  axiom272, axiom273, axiom274, axiom275, axiom276, axiom277, axiom278, axiom279,
% 92.90/13.83  axiom28, axiom280, axiom281, axiom282, axiom283, axiom284, axiom285, axiom286,
% 92.90/13.83  axiom287, axiom288, axiom289, axiom29, axiom290, axiom291, axiom292, axiom293,
% 92.90/13.83  axiom294, axiom295, axiom296, axiom297, axiom298, axiom299, axiom3, axiom30,
% 92.90/13.83  axiom300, axiom301, axiom302, axiom303, axiom304, axiom305, axiom306, axiom307,
% 92.90/13.83  axiom308, axiom309, axiom31, axiom310, axiom311, axiom312, axiom313, axiom314,
% 92.90/13.83  axiom315, axiom316, axiom317, axiom318, axiom319, axiom32, axiom320, axiom321,
% 92.90/13.83  axiom322, axiom323, axiom324, axiom325, axiom326, axiom327, axiom328, axiom329,
% 92.90/13.83  axiom33, axiom330, axiom331, axiom332, axiom333, axiom334, axiom335, axiom336,
% 92.90/13.83  axiom337, axiom338, axiom339, axiom34, axiom340, axiom341, axiom342, axiom343,
% 92.90/13.83  axiom344, axiom345, axiom346, axiom347, axiom348, axiom349, axiom35, axiom350,
% 92.90/13.83  axiom351, axiom352, axiom353, axiom354, axiom355, axiom356, axiom357, axiom358,
% 92.90/13.83  axiom359, axiom36, axiom360, axiom361, axiom362, axiom363, axiom364, axiom365,
% 92.90/13.83  axiom366, axiom367, axiom368, axiom369, axiom37, axiom370, axiom371, axiom372,
% 92.90/13.83  axiom373, axiom374, axiom375, axiom376, axiom377, axiom378, axiom379, axiom38,
% 92.90/13.83  axiom380, axiom381, axiom382, axiom383, axiom384, axiom385, axiom386, axiom387,
% 92.90/13.83  axiom388, axiom389, axiom39, axiom390, axiom391, axiom392, axiom393, axiom394,
% 92.90/13.83  axiom395, axiom396, axiom397, axiom398, axiom399, axiom4, axiom40, axiom400,
% 92.90/13.83  axiom401, axiom402, axiom403, axiom404, axiom405, axiom406, axiom407, axiom408,
% 92.90/13.83  axiom409, axiom41, axiom410, axiom411, axiom412, axiom413, axiom414, axiom415,
% 92.90/13.83  axiom416, axiom417, axiom418, axiom419, axiom42, axiom420, axiom421, axiom422,
% 92.90/13.83  axiom423, axiom424, axiom425, axiom426, axiom427, axiom428, axiom429, axiom43,
% 92.90/13.83  axiom430, axiom431, axiom432, axiom433, axiom434, axiom435, axiom436, axiom437,
% 92.90/13.83  axiom438, axiom439, axiom44, axiom440, axiom441, axiom442, axiom443, axiom444,
% 92.90/13.83  axiom445, axiom446, axiom447, axiom448, axiom449, axiom45, axiom450, axiom451,
% 92.90/13.83  axiom452, axiom453, axiom454, axiom455, axiom456, axiom457, axiom458, axiom459,
% 92.90/13.83  axiom46, axiom460, axiom461, axiom462, axiom463, axiom464, axiom465, axiom466,
% 92.90/13.83  axiom467, axiom468, axiom469, axiom47, axiom470, axiom471, axiom472, axiom473,
% 92.90/13.83  axiom474, axiom475, axiom476, axiom477, axiom478, axiom479, axiom48, axiom480,
% 92.90/13.83  axiom481, axiom482, axiom483, axiom484, axiom485, axiom486, axiom487, axiom488,
% 92.90/13.83  axiom489, axiom49, axiom490, axiom491, axiom492, axiom493, axiom494, axiom495,
% 92.90/13.83  axiom496, axiom497, axiom498, axiom499, axiom50, axiom500, axiom501, axiom502,
% 92.90/13.83  axiom503, axiom504, axiom505, axiom506, axiom507, axiom508, axiom509, axiom51,
% 92.90/13.83  axiom510, axiom511, axiom512, axiom513, axiom514, axiom515, axiom516, axiom517,
% 92.90/13.83  axiom518, axiom519, axiom52, axiom520, axiom521, axiom522, axiom523, axiom524,
% 92.90/13.83  axiom525, axiom526, axiom527, axiom528, axiom529, axiom53, axiom530, axiom531,
% 92.90/13.83  axiom532, axiom533, axiom534, axiom535, axiom536, axiom537, axiom538, axiom539,
% 92.90/13.83  axiom54, axiom540, axiom541, axiom542, axiom543, axiom544, axiom545, axiom546,
% 92.90/13.83  axiom547, axiom548, axiom549, axiom55, axiom550, axiom551, axiom552, axiom553,
% 92.90/13.83  axiom554, axiom555, axiom556, axiom557, axiom558, axiom559, axiom56, axiom560,
% 92.90/13.83  axiom561, axiom562, axiom563, axiom564, axiom565, axiom566, axiom567, axiom568,
% 92.90/13.83  axiom569, axiom57, axiom570, axiom571, axiom572, axiom573, axiom574, axiom575,
% 92.90/13.83  axiom576, axiom577, axiom578, axiom579, axiom58, axiom580, axiom581, axiom582,
% 92.90/13.83  axiom583, axiom584, axiom585, axiom586, axiom587, axiom588, axiom589, axiom59,
% 92.90/13.83  axiom590, axiom591, axiom592, axiom593, axiom594, axiom595, axiom596, axiom597,
% 92.90/13.83  axiom598, axiom599, axiom6, axiom60, axiom600, axiom601, axiom602, axiom603,
% 92.90/13.83  axiom604, axiom605, axiom606, axiom607, axiom608, axiom609, axiom61, axiom610,
% 92.90/13.83  axiom611, axiom612, axiom613, axiom614, axiom615, axiom616, axiom617, axiom618,
% 92.90/13.83  axiom619, axiom62, axiom620, axiom621, axiom622, axiom623, axiom624, axiom625,
% 92.90/13.83  axiom626, axiom627, axiom628, axiom629, axiom63, axiom630, axiom631, axiom632,
% 92.90/13.83  axiom633, axiom634, axiom635, axiom636, axiom637, axiom64, axiom65, axiom66,
% 92.90/13.83  axiom67, axiom68, axiom69, axiom7, axiom70, axiom71, axiom72, axiom73, axiom74,
% 92.90/13.83  axiom75, axiom76, axiom77, axiom78, axiom79, axiom80, axiom81, axiom82, axiom83,
% 92.90/13.83  axiom84, axiom85, axiom86, axiom87, axiom88, axiom89, axiom90, axiom91, axiom92,
% 92.90/13.83  axiom93, axiom94, axiom95, axiom96, axiom97, axiom98, axiom99
% 92.90/13.83  
% 92.90/13.83  Those formulas are unsatisfiable:
% 92.90/13.83  ---------------------------------
% 92.90/13.83  
% 92.90/13.83  Begin of proof
% 92.90/13.83  | 
% 92.90/13.83  | ALPHA: (axiom8) implies:
% 92.90/13.83  |   (1)   ! [v0: A_constr_list$] :  ! [v1: Nat$] :  ! [v2: A_TESL_atomic_list$]
% 92.90/13.83  |        :  ! [v3: A_TESL_atomic_list$] :  ! [v4: A_run_set$] :  ! [v5:
% 92.90/13.83  |          A_run_set_a_run_set_fun$] :  ! [v6: A_run_set$] :  ! [v7: A_run_set$]
% 92.90/13.83  |        :  ! [v8: A_run_set_a_run_set_fun$] :  ! [v9: int] :  ! [v10: Nat$] : 
% 92.90/13.83  |        ! [v11: A_run_set$] :  ! [v12: A_run_set$] : ( ~
% 92.90/13.83  |          (symbolic_run_interpretation$(v0) = v4) |  ~ (fun_app$f(inf$, v7) =
% 92.90/13.83  |            v8) |  ~ (fun_app$f(inf$, v4) = v5) |  ~ (fun_app$g(of_nat$, v1) =
% 92.90/13.83  |            v9) |  ~ (nat$($sum(v9, 1)) = v10) |  ~
% 92.90/13.83  |          (tESL_interpretation_stepwise$(v3, v10) = v11) |  ~
% 92.90/13.83  |          (tESL_interpretation_stepwise$(v2, v1) = v6) |  ~ (fun_app$e(v8, v11)
% 92.90/13.83  |            = v12) |  ~ (fun_app$e(v5, v6) = v7) |  ~ Nat$(v1) |  ~
% 92.90/13.83  |          A_TESL_atomic_list$(v3) |  ~ A_TESL_atomic_list$(v2) |  ~
% 92.90/13.83  |          A_constr_list$(v0) |  ? [v13:
% 92.90/13.83  |            A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ? [v14:
% 92.90/13.83  |            Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ? [v15:
% 92.90/13.83  |            A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$]
% 92.90/13.83  |          : (heronConf_interpretation$(v15) = v12 & pair$b(v2, v3) = v13 &
% 92.90/13.83  |            pair$a(v1, v13) = v14 & pair$(v0, v14) = v15 &
% 92.90/13.83  |            Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(v14) &
% 92.90/13.83  |            A_run_set$(v12) &
% 92.90/13.83  |            A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(v15)
% 92.90/13.83  |            & A_TESL_atomic_list_a_TESL_atomic_list_prod$(v13)))
% 92.90/13.83  | 
% 92.90/13.83  | ALPHA: (axiom9) implies:
% 92.90/13.84  |   (2)   ? [v0: A_TESL_atomic$] :  ? [v1: A_TESL_atomic_list$] :  ? [v2:
% 92.90/13.84  |          A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ? [v3:
% 92.90/13.84  |          Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ? [v4:
% 92.90/13.84  |          A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$]
% 92.90/13.84  |        :  ? [v5: A_run_set$] :  ? [v6: A_run_set$] :  ? [v7:
% 92.90/13.84  |          A_run_set_a_run_set_fun$] :  ? [v8: A_run_set$] :  ? [v9: A_run_set$]
% 92.90/13.84  |        :  ? [v10: A_run_set_a_run_set_fun$] :  ? [v11: int] :  ? [v12: Nat$] :
% 92.90/13.84  |         ? [v13: A_run_set$] : (sporadicOn$(k_1$, tau$, k_2$) = v0 & cons$a(v0,
% 92.90/13.84  |            phi$) = v1 & heronConf_interpretation$(v4) = v5 &
% 92.90/13.84  |          symbolic_run_interpretation$(gamma$) = v6 & fun_app$f(inf$, v9) = v10
% 92.90/13.84  |          & fun_app$f(inf$, v6) = v7 & fun_app$g(of_nat$, n$) = v11 &
% 92.90/13.84  |          nat$($sum(v11, 1)) = v12 & tESL_interpretation_stepwise$(v1, v12) =
% 92.90/13.84  |          v13 & tESL_interpretation_stepwise$(psi$, n$) = v8 & fun_app$e(v10,
% 92.90/13.84  |            v13) = v5 & fun_app$e(v7, v8) = v9 & pair$b(psi$, v1) = v2 &
% 92.90/13.84  |          pair$a(n$, v2) = v3 & pair$(gamma$, v3) = v4 & A_TESL_atomic$(v0) &
% 92.90/13.84  |          Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(v3) &
% 92.90/13.84  |          A_run_set$(v13) & A_run_set$(v9) & A_run_set$(v8) & A_run_set$(v6) &
% 92.90/13.84  |          A_run_set$(v5) & A_run_set_a_run_set_fun$(v10) &
% 92.90/13.84  |          A_run_set_a_run_set_fun$(v7) & Nat$(v12) &
% 92.90/13.84  |          A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(v4)
% 92.90/13.84  |          & A_TESL_atomic_list_a_TESL_atomic_list_prod$(v2) &
% 92.90/13.84  |          A_TESL_atomic_list$(v1))
% 92.90/13.84  | 
% 92.90/13.84  | ALPHA: (axiom10) implies:
% 92.90/13.84  |   (3)   ? [v0: A_TESL_atomic$] :  ? [v1: A_TESL_atomic_list$] :  ? [v2:
% 92.90/13.84  |          A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ? [v3:
% 92.90/13.84  |          Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ? [v4:
% 92.90/13.84  |          A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$]
% 92.90/13.84  |        :  ? [v5: A_run_set$] :  ? [v6: A_run_set$] :  ? [v7:
% 92.90/13.84  |          A_run_set_a_run_set_fun$] :  ? [v8: A_run_set$] :  ? [v9: A_run_set$]
% 92.90/13.84  |        :  ? [v10: A_run_set_a_run_set_fun$] :  ? [v11: int] :  ? [v12: Nat$] :
% 92.90/13.84  |         ? [v13: A_run_set$] : (sporadicOn$(k_1$, tau$, k_2$) = v0 & cons$a(v0,
% 93.29/13.84  |            psi$) = v1 & heronConf_interpretation$(v4) = v5 &
% 93.29/13.84  |          symbolic_run_interpretation$(gamma$) = v6 & fun_app$f(inf$, v9) = v10
% 93.29/13.84  |          & fun_app$f(inf$, v6) = v7 & fun_app$g(of_nat$, n$) = v11 &
% 93.29/13.84  |          nat$($sum(v11, 1)) = v12 & tESL_interpretation_stepwise$(v1, n$) = v8
% 93.29/13.84  |          & tESL_interpretation_stepwise$(phi$, v12) = v13 & fun_app$e(v10,
% 93.29/13.84  |            v13) = v5 & fun_app$e(v7, v8) = v9 & pair$b(v1, phi$) = v2 &
% 93.29/13.84  |          pair$a(n$, v2) = v3 & pair$(gamma$, v3) = v4 & A_TESL_atomic$(v0) &
% 93.29/13.84  |          Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(v3) &
% 93.29/13.84  |          A_run_set$(v13) & A_run_set$(v9) & A_run_set$(v8) & A_run_set$(v6) &
% 93.29/13.84  |          A_run_set$(v5) & A_run_set_a_run_set_fun$(v10) &
% 93.29/13.84  |          A_run_set_a_run_set_fun$(v7) & Nat$(v12) &
% 93.29/13.84  |          A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(v4)
% 93.29/13.84  |          & A_TESL_atomic_list_a_TESL_atomic_list_prod$(v2) &
% 93.29/13.84  |          A_TESL_atomic_list$(v1))
% 93.29/13.84  | 
% 93.29/13.84  | ALPHA: (conjecture5) implies:
% 93.29/13.84  |   (4)  A_TESL_atomic_list$(psi$)
% 93.29/13.84  |   (5)  A_TESL_atomic_list$(phi$)
% 93.29/13.84  |   (6)  Nat$(n$)
% 93.29/13.85  |   (7)   ? [v0: A_constr$] :  ? [v1: A_constr$] :  ? [v2: A_constr_list$] :  ?
% 93.29/13.85  |        [v3: A_constr_list$] :  ? [v4:
% 93.29/13.85  |          A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ? [v5:
% 93.29/13.85  |          Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ? [v6:
% 93.29/13.85  |          A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$]
% 93.29/13.85  |        :  ? [v7: A_run_set$] :  ? [v8: A_run_set$] :  ? [v9:
% 93.29/13.85  |          A_run_set_a_run_set_fun$] :  ? [v10: A_run_set$] :  ? [v11:
% 93.29/13.85  |          A_run_set$] :  ? [v12: A_run_set_a_run_set_fun$] :  ? [v13: int] :  ?
% 93.29/13.85  |        [v14: Nat$] :  ? [v15: A_run_set$] :  ? [v16: A_run_set$] : ( ~ (v16 =
% 93.29/13.85  |            v7) & cons$(v1, gamma$) = v2 & cons$(v0, v2) = v3 & ticks$(k_1$,
% 93.29/13.85  |            n$) = v0 & timestamp$(k_2$, n$, tau$) = v1 &
% 93.29/13.85  |          heronConf_interpretation$(v6) = v7 & symbolic_run_interpretation$(v3)
% 93.29/13.85  |          = v8 & fun_app$f(inf$, v11) = v12 & fun_app$f(inf$, v8) = v9 &
% 93.29/13.85  |          fun_app$g(of_nat$, n$) = v13 & nat$($sum(v13, 1)) = v14 &
% 93.29/13.85  |          tESL_interpretation_stepwise$(phi$, v14) = v15 &
% 93.29/13.85  |          tESL_interpretation_stepwise$(psi$, n$) = v10 & fun_app$e(v12, v15) =
% 93.29/13.85  |          v16 & fun_app$e(v9, v10) = v11 & pair$b(psi$, phi$) = v4 & pair$a(n$,
% 93.29/13.85  |            v4) = v5 & pair$(v3, v5) = v6 &
% 93.29/13.85  |          Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(v5) &
% 93.29/13.85  |          A_run_set$(v16) & A_run_set$(v15) & A_run_set$(v11) & A_run_set$(v10)
% 93.29/13.85  |          & A_run_set$(v8) & A_run_set$(v7) & A_run_set_a_run_set_fun$(v12) &
% 93.29/13.85  |          A_run_set_a_run_set_fun$(v9) & A_constr$(v1) & A_constr$(v0) &
% 93.29/13.85  |          Nat$(v14) &
% 93.29/13.85  |          A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(v6)
% 93.29/13.85  |          & A_TESL_atomic_list_a_TESL_atomic_list_prod$(v4) &
% 93.29/13.85  |          A_constr_list$(v3) & A_constr_list$(v2))
% 93.29/13.85  | 
% 93.29/13.85  | ALPHA: (function-axioms) implies:
% 93.29/13.85  |   (8)   ! [v0: Nat$] :  ! [v1: Nat$] :  ! [v2: int] : (v1 = v0 |  ~ (nat$(v2)
% 93.29/13.85  |            = v1) |  ~ (nat$(v2) = v0))
% 93.29/13.85  |   (9)   ! [v0: A_run_set$] :  ! [v1: A_run_set$] :  ! [v2:
% 93.29/13.85  |          A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$]
% 93.29/13.85  |        : (v1 = v0 |  ~ (heronConf_interpretation$(v2) = v1) |  ~
% 93.29/13.85  |          (heronConf_interpretation$(v2) = v0))
% 93.29/13.85  |   (10)   ! [v0:
% 93.29/13.85  |           A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$]
% 93.29/13.85  |         :  ! [v1:
% 93.29/13.85  |           A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$]
% 93.29/13.85  |         :  ! [v2: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  !
% 93.29/13.85  |         [v3: A_constr_list$] : (v1 = v0 |  ~ (pair$(v3, v2) = v1) |  ~
% 93.29/13.85  |           (pair$(v3, v2) = v0))
% 93.29/13.85  |   (11)   ! [v0: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  !
% 93.29/13.85  |         [v1: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ! [v2:
% 93.29/13.85  |           A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ! [v3: Nat$] : (v1 =
% 93.29/13.85  |           v0 |  ~ (pair$a(v3, v2) = v1) |  ~ (pair$a(v3, v2) = v0))
% 93.29/13.85  |   (12)   ! [v0: A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ! [v1:
% 93.29/13.85  |           A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ! [v2:
% 93.29/13.85  |           A_TESL_atomic_list$] :  ! [v3: A_TESL_atomic_list$] : (v1 = v0 |  ~
% 93.29/13.85  |           (pair$b(v3, v2) = v1) |  ~ (pair$b(v3, v2) = v0))
% 93.29/13.85  |   (13)   ! [v0: A_run_set$] :  ! [v1: A_run_set$] :  ! [v2: Nat$] :  ! [v3:
% 93.29/13.85  |           A_TESL_atomic_list$] : (v1 = v0 |  ~
% 93.29/13.85  |           (tESL_interpretation_stepwise$(v3, v2) = v1) |  ~
% 93.29/13.85  |           (tESL_interpretation_stepwise$(v3, v2) = v0))
% 93.29/13.85  |   (14)   ! [v0: int] :  ! [v1: int] :  ! [v2: Nat$] :  ! [v3: Nat_int_fun$] :
% 93.29/13.85  |         (v1 = v0 |  ~ (fun_app$g(v3, v2) = v1) |  ~ (fun_app$g(v3, v2) = v0))
% 93.29/13.85  | 
% 93.29/13.85  | DELTA: instantiating (2) with fresh symbols all_861_0, all_861_1, all_861_2,
% 93.29/13.85  |        all_861_3, all_861_4, all_861_5, all_861_6, all_861_7, all_861_8,
% 93.29/13.85  |        all_861_9, all_861_10, all_861_11, all_861_12, all_861_13 gives:
% 93.29/13.85  |   (15)  sporadicOn$(k_1$, tau$, k_2$) = all_861_13 & cons$a(all_861_13, phi$)
% 93.29/13.85  |         = all_861_12 & heronConf_interpretation$(all_861_9) = all_861_8 &
% 93.29/13.85  |         symbolic_run_interpretation$(gamma$) = all_861_7 & fun_app$f(inf$,
% 93.29/13.85  |           all_861_4) = all_861_3 & fun_app$f(inf$, all_861_7) = all_861_6 &
% 93.29/13.85  |         fun_app$g(of_nat$, n$) = all_861_2 & nat$($sum(all_861_2, 1)) =
% 93.29/13.85  |         all_861_1 & tESL_interpretation_stepwise$(all_861_12, all_861_1) =
% 93.29/13.85  |         all_861_0 & tESL_interpretation_stepwise$(psi$, n$) = all_861_5 &
% 93.29/13.85  |         fun_app$e(all_861_3, all_861_0) = all_861_8 & fun_app$e(all_861_6,
% 93.29/13.85  |           all_861_5) = all_861_4 & pair$b(psi$, all_861_12) = all_861_11 &
% 93.29/13.85  |         pair$a(n$, all_861_11) = all_861_10 & pair$(gamma$, all_861_10) =
% 93.29/13.85  |         all_861_9 & A_TESL_atomic$(all_861_13) &
% 93.29/13.85  |         Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(all_861_10) &
% 93.29/13.85  |         A_run_set$(all_861_0) & A_run_set$(all_861_4) & A_run_set$(all_861_5)
% 93.29/13.85  |         & A_run_set$(all_861_7) & A_run_set$(all_861_8) &
% 93.29/13.85  |         A_run_set_a_run_set_fun$(all_861_3) &
% 93.29/13.85  |         A_run_set_a_run_set_fun$(all_861_6) & Nat$(all_861_1) &
% 93.29/13.85  |         A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(all_861_9)
% 93.29/13.85  |         & A_TESL_atomic_list_a_TESL_atomic_list_prod$(all_861_11) &
% 93.29/13.85  |         A_TESL_atomic_list$(all_861_12)
% 93.29/13.85  | 
% 93.29/13.85  | ALPHA: (15) implies:
% 93.29/13.85  |   (16)  tESL_interpretation_stepwise$(psi$, n$) = all_861_5
% 93.29/13.86  |   (17)  nat$($sum(all_861_2, 1)) = all_861_1
% 93.29/13.86  |   (18)  fun_app$g(of_nat$, n$) = all_861_2
% 93.29/13.86  | 
% 93.29/13.86  | DELTA: instantiating (3) with fresh symbols all_863_0, all_863_1, all_863_2,
% 93.29/13.86  |        all_863_3, all_863_4, all_863_5, all_863_6, all_863_7, all_863_8,
% 93.29/13.86  |        all_863_9, all_863_10, all_863_11, all_863_12, all_863_13 gives:
% 93.29/13.86  |   (19)  sporadicOn$(k_1$, tau$, k_2$) = all_863_13 & cons$a(all_863_13, psi$)
% 93.29/13.86  |         = all_863_12 & heronConf_interpretation$(all_863_9) = all_863_8 &
% 93.29/13.86  |         symbolic_run_interpretation$(gamma$) = all_863_7 & fun_app$f(inf$,
% 93.29/13.86  |           all_863_4) = all_863_3 & fun_app$f(inf$, all_863_7) = all_863_6 &
% 93.29/13.86  |         fun_app$g(of_nat$, n$) = all_863_2 & nat$($sum(all_863_2, 1)) =
% 93.29/13.86  |         all_863_1 & tESL_interpretation_stepwise$(all_863_12, n$) = all_863_5
% 93.29/13.86  |         & tESL_interpretation_stepwise$(phi$, all_863_1) = all_863_0 &
% 93.29/13.86  |         fun_app$e(all_863_3, all_863_0) = all_863_8 & fun_app$e(all_863_6,
% 93.29/13.86  |           all_863_5) = all_863_4 & pair$b(all_863_12, phi$) = all_863_11 &
% 93.29/13.86  |         pair$a(n$, all_863_11) = all_863_10 & pair$(gamma$, all_863_10) =
% 93.29/13.86  |         all_863_9 & A_TESL_atomic$(all_863_13) &
% 93.29/13.86  |         Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(all_863_10) &
% 93.29/13.86  |         A_run_set$(all_863_0) & A_run_set$(all_863_4) & A_run_set$(all_863_5)
% 93.29/13.86  |         & A_run_set$(all_863_7) & A_run_set$(all_863_8) &
% 93.29/13.86  |         A_run_set_a_run_set_fun$(all_863_3) &
% 93.29/13.86  |         A_run_set_a_run_set_fun$(all_863_6) & Nat$(all_863_1) &
% 93.29/13.86  |         A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(all_863_9)
% 93.29/13.86  |         & A_TESL_atomic_list_a_TESL_atomic_list_prod$(all_863_11) &
% 93.29/13.86  |         A_TESL_atomic_list$(all_863_12)
% 93.29/13.86  | 
% 93.29/13.86  | ALPHA: (19) implies:
% 93.29/13.86  |   (20)  tESL_interpretation_stepwise$(phi$, all_863_1) = all_863_0
% 93.29/13.86  |   (21)  nat$($sum(all_863_2, 1)) = all_863_1
% 93.29/13.86  |   (22)  fun_app$g(of_nat$, n$) = all_863_2
% 93.29/13.86  | 
% 93.29/13.86  | DELTA: instantiating (7) with fresh symbols all_867_0, all_867_1, all_867_2,
% 93.29/13.86  |        all_867_3, all_867_4, all_867_5, all_867_6, all_867_7, all_867_8,
% 93.29/13.86  |        all_867_9, all_867_10, all_867_11, all_867_12, all_867_13, all_867_14,
% 93.29/13.86  |        all_867_15, all_867_16 gives:
% 93.29/13.86  |   (23)   ~ (all_867_0 = all_867_9) & cons$(all_867_15, gamma$) = all_867_14 &
% 93.29/13.86  |         cons$(all_867_16, all_867_14) = all_867_13 & ticks$(k_1$, n$) =
% 93.29/13.86  |         all_867_16 & timestamp$(k_2$, n$, tau$) = all_867_15 &
% 93.29/13.86  |         heronConf_interpretation$(all_867_10) = all_867_9 &
% 93.29/13.86  |         symbolic_run_interpretation$(all_867_13) = all_867_8 & fun_app$f(inf$,
% 93.29/13.86  |           all_867_5) = all_867_4 & fun_app$f(inf$, all_867_8) = all_867_7 &
% 93.29/13.86  |         fun_app$g(of_nat$, n$) = all_867_3 & nat$($sum(all_867_3, 1)) =
% 93.29/13.86  |         all_867_2 & tESL_interpretation_stepwise$(phi$, all_867_2) = all_867_1
% 93.29/13.86  |         & tESL_interpretation_stepwise$(psi$, n$) = all_867_6 &
% 93.29/13.86  |         fun_app$e(all_867_4, all_867_1) = all_867_0 & fun_app$e(all_867_7,
% 93.29/13.86  |           all_867_6) = all_867_5 & pair$b(psi$, phi$) = all_867_12 &
% 93.29/13.86  |         pair$a(n$, all_867_12) = all_867_11 & pair$(all_867_13, all_867_11) =
% 93.29/13.86  |         all_867_10 &
% 93.29/13.86  |         Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(all_867_11) &
% 93.29/13.86  |         A_run_set$(all_867_0) & A_run_set$(all_867_1) & A_run_set$(all_867_5)
% 93.29/13.86  |         & A_run_set$(all_867_6) & A_run_set$(all_867_8) &
% 93.29/13.86  |         A_run_set$(all_867_9) & A_run_set_a_run_set_fun$(all_867_4) &
% 93.29/13.86  |         A_run_set_a_run_set_fun$(all_867_7) & A_constr$(all_867_15) &
% 93.29/13.86  |         A_constr$(all_867_16) & Nat$(all_867_2) &
% 93.29/13.86  |         A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(all_867_10)
% 93.29/13.86  |         & A_TESL_atomic_list_a_TESL_atomic_list_prod$(all_867_12) &
% 93.29/13.86  |         A_constr_list$(all_867_13) & A_constr_list$(all_867_14)
% 93.29/13.86  | 
% 93.29/13.86  | ALPHA: (23) implies:
% 93.29/13.86  |   (24)   ~ (all_867_0 = all_867_9)
% 93.29/13.86  |   (25)  A_constr_list$(all_867_13)
% 93.29/13.86  |   (26)  pair$(all_867_13, all_867_11) = all_867_10
% 93.29/13.86  |   (27)  pair$a(n$, all_867_12) = all_867_11
% 93.29/13.86  |   (28)  pair$b(psi$, phi$) = all_867_12
% 93.29/13.86  |   (29)  fun_app$e(all_867_7, all_867_6) = all_867_5
% 93.29/13.87  |   (30)  fun_app$e(all_867_4, all_867_1) = all_867_0
% 93.29/13.87  |   (31)  tESL_interpretation_stepwise$(psi$, n$) = all_867_6
% 93.29/13.87  |   (32)  tESL_interpretation_stepwise$(phi$, all_867_2) = all_867_1
% 93.29/13.87  |   (33)  nat$($sum(all_867_3, 1)) = all_867_2
% 93.29/13.87  |   (34)  fun_app$g(of_nat$, n$) = all_867_3
% 93.29/13.87  |   (35)  fun_app$f(inf$, all_867_8) = all_867_7
% 93.29/13.87  |   (36)  fun_app$f(inf$, all_867_5) = all_867_4
% 93.29/13.87  |   (37)  symbolic_run_interpretation$(all_867_13) = all_867_8
% 93.29/13.87  |   (38)  heronConf_interpretation$(all_867_10) = all_867_9
% 93.29/13.87  | 
% 93.29/13.87  | GROUND_INST: instantiating (13) with all_861_5, all_867_6, n$, psi$,
% 93.29/13.87  |              simplifying with (16), (31) gives:
% 93.29/13.87  |   (39)  all_867_6 = all_861_5
% 93.29/13.87  | 
% 93.29/13.87  | GROUND_INST: instantiating (14) with all_863_2, all_867_3, n$, of_nat$,
% 93.29/13.87  |              simplifying with (22), (34) gives:
% 93.29/13.87  |   (40)  all_867_3 = all_863_2
% 93.29/13.87  | 
% 93.29/13.87  | GROUND_INST: instantiating (14) with all_861_2, all_867_3, n$, of_nat$,
% 93.29/13.87  |              simplifying with (18), (34) gives:
% 93.29/13.87  |   (41)  all_867_3 = all_861_2
% 93.29/13.87  | 
% 93.29/13.87  | COMBINE_EQS: (40), (41) imply:
% 93.29/13.87  |   (42)  all_863_2 = all_861_2
% 93.29/13.87  | 
% 93.29/13.87  | SIMP: (42) implies:
% 93.29/13.87  |   (43)  all_863_2 = all_861_2
% 93.29/13.87  | 
% 93.29/13.87  | REDUCE: (33), (41) imply:
% 93.29/13.87  |   (44)  nat$($sum(all_861_2, 1)) = all_867_2
% 93.29/13.87  | 
% 93.29/13.87  | REDUCE: (21), (43) imply:
% 93.29/13.87  |   (45)  nat$($sum(all_861_2, 1)) = all_863_1
% 93.29/13.87  | 
% 93.29/13.87  | REDUCE: (29), (39) imply:
% 93.29/13.87  |   (46)  fun_app$e(all_867_7, all_861_5) = all_867_5
% 93.29/13.87  | 
% 93.29/13.87  | GROUND_INST: instantiating (8) with all_861_1, all_867_2, $sum(all_861_2, 1),
% 93.29/13.87  |              simplifying with (17), (44) gives:
% 93.29/13.87  |   (47)  all_867_2 = all_861_1
% 93.29/13.87  | 
% 93.29/13.87  | GROUND_INST: instantiating (8) with all_863_1, all_867_2, $sum(all_861_2, 1),
% 93.29/13.87  |              simplifying with (44), (45) gives:
% 93.29/13.87  |   (48)  all_867_2 = all_863_1
% 93.29/13.87  | 
% 93.29/13.87  | COMBINE_EQS: (47), (48) imply:
% 93.29/13.87  |   (49)  all_863_1 = all_861_1
% 93.29/13.87  | 
% 93.29/13.87  | REDUCE: (32), (47) imply:
% 93.29/13.87  |   (50)  tESL_interpretation_stepwise$(phi$, all_861_1) = all_867_1
% 93.29/13.87  | 
% 93.29/13.87  | REDUCE: (20), (49) imply:
% 93.29/13.87  |   (51)  tESL_interpretation_stepwise$(phi$, all_861_1) = all_863_0
% 93.29/13.87  | 
% 93.29/13.87  | GROUND_INST: instantiating (13) with all_863_0, all_867_1, all_861_1, phi$,
% 93.29/13.87  |              simplifying with (50), (51) gives:
% 93.29/13.87  |   (52)  all_867_1 = all_863_0
% 93.29/13.87  | 
% 93.29/13.87  | REDUCE: (30), (52) imply:
% 93.29/13.87  |   (53)  fun_app$e(all_867_4, all_863_0) = all_867_0
% 93.29/13.87  | 
% 93.29/13.87  | GROUND_INST: instantiating (1) with all_867_13, n$, psi$, phi$, all_867_8,
% 93.29/13.87  |              all_867_7, all_861_5, all_867_5, all_867_4, all_861_2, all_861_1,
% 93.29/13.87  |              all_863_0, all_867_0, simplifying with (4), (5), (6), (16), (17),
% 93.29/13.87  |              (18), (25), (35), (36), (37), (46), (51), (53) gives:
% 93.29/13.88  |   (54)   ? [v0: A_TESL_atomic_list_a_TESL_atomic_list_prod$] :  ? [v1:
% 93.29/13.88  |           Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] :  ? [v2:
% 93.29/13.88  |           A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$]
% 93.29/13.88  |         : (heronConf_interpretation$(v2) = all_867_0 & pair$b(psi$, phi$) = v0
% 93.29/13.88  |           & pair$a(n$, v0) = v1 & pair$(all_867_13, v1) = v2 &
% 93.29/13.88  |           Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(v1) &
% 93.29/13.88  |           A_run_set$(all_867_0) &
% 93.29/13.88  |           A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(v2)
% 93.29/13.88  |           & A_TESL_atomic_list_a_TESL_atomic_list_prod$(v0))
% 93.29/13.88  | 
% 93.46/13.88  | DELTA: instantiating (54) with fresh symbols all_916_0, all_916_1, all_916_2
% 93.46/13.88  |        gives:
% 93.46/13.88  |   (55)  heronConf_interpretation$(all_916_0) = all_867_0 & pair$b(psi$, phi$)
% 93.46/13.88  |         = all_916_2 & pair$a(n$, all_916_2) = all_916_1 & pair$(all_867_13,
% 93.46/13.88  |           all_916_1) = all_916_0 &
% 93.46/13.88  |         Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(all_916_1) &
% 93.46/13.88  |         A_run_set$(all_867_0) &
% 93.46/13.88  |         A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(all_916_0)
% 93.46/13.88  |         & A_TESL_atomic_list_a_TESL_atomic_list_prod$(all_916_2)
% 93.46/13.88  | 
% 93.46/13.88  | ALPHA: (55) implies:
% 93.46/13.88  |   (56)  pair$(all_867_13, all_916_1) = all_916_0
% 93.46/13.88  |   (57)  pair$a(n$, all_916_2) = all_916_1
% 93.46/13.88  |   (58)  pair$b(psi$, phi$) = all_916_2
% 93.46/13.88  |   (59)  heronConf_interpretation$(all_916_0) = all_867_0
% 93.46/13.88  | 
% 93.46/13.88  | GROUND_INST: instantiating (12) with all_867_12, all_916_2, phi$, psi$,
% 93.46/13.88  |              simplifying with (28), (58) gives:
% 93.46/13.88  |   (60)  all_916_2 = all_867_12
% 93.46/13.88  | 
% 93.46/13.88  | REDUCE: (57), (60) imply:
% 93.46/13.88  |   (61)  pair$a(n$, all_867_12) = all_916_1
% 93.46/13.88  | 
% 93.46/13.88  | GROUND_INST: instantiating (11) with all_867_11, all_916_1, all_867_12, n$,
% 93.46/13.88  |              simplifying with (27), (61) gives:
% 93.46/13.88  |   (62)  all_916_1 = all_867_11
% 93.46/13.88  | 
% 93.46/13.88  | REDUCE: (56), (62) imply:
% 93.46/13.88  |   (63)  pair$(all_867_13, all_867_11) = all_916_0
% 93.46/13.88  | 
% 93.46/13.88  | GROUND_INST: instantiating (10) with all_867_10, all_916_0, all_867_11,
% 93.46/13.88  |              all_867_13, simplifying with (26), (63) gives:
% 93.46/13.88  |   (64)  all_916_0 = all_867_10
% 93.46/13.88  | 
% 93.46/13.88  | REDUCE: (59), (64) imply:
% 93.46/13.88  |   (65)  heronConf_interpretation$(all_867_10) = all_867_0
% 93.46/13.88  | 
% 93.46/13.88  | GROUND_INST: instantiating (9) with all_867_9, all_867_0, all_867_10,
% 93.46/13.88  |              simplifying with (38), (65) gives:
% 93.46/13.88  |   (66)  all_867_0 = all_867_9
% 93.46/13.88  | 
% 93.46/13.88  | REDUCE: (24), (66) imply:
% 93.46/13.88  |   (67)  $false
% 93.46/13.88  | 
% 93.46/13.88  | CLOSE: (67) is inconsistent.
% 93.46/13.88  | 
% 93.46/13.88  End of proof
% 93.46/13.88  % SZS output end Proof for theBenchmark
% 93.46/13.88  
% 93.46/13.88  13256ms
%------------------------------------------------------------------------------