Princess---230619.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : ITP399_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n011.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 04:12:01 EDT 2023

% Result   : Theorem 47.45s 7.06s
% Output   : Proof 73.78s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ITP399_1 : TPTP v8.1.2. Released v8.0.0.
% 0.07/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Aug 27 12:00:24 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.21/0.62  ________       _____
% 0.21/0.62  ___  __ \_________(_)________________________________
% 0.21/0.62  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.21/0.62  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.21/0.62  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.21/0.62  
% 0.21/0.62  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.62  (2023-06-19)
% 0.21/0.62  
% 0.21/0.62  (c) Philipp Rümmer, 2009-2023
% 0.21/0.62  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.62                Amanda Stjerna.
% 0.21/0.62  Free software under BSD-3-Clause.
% 0.21/0.62  
% 0.21/0.62  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.62  
% 0.21/0.62  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.21/0.63  Running up to 7 provers in parallel.
% 0.21/0.64  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.64  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.64  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.64  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.64  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.64  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.64  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 18.02/3.13  Prover 6: Preprocessing ...
% 18.02/3.13  Prover 5: Preprocessing ...
% 18.02/3.13  Prover 3: Preprocessing ...
% 18.25/3.14  Prover 2: Preprocessing ...
% 18.25/3.14  Prover 4: Preprocessing ...
% 18.25/3.14  Prover 1: Preprocessing ...
% 18.25/3.19  Prover 0: Preprocessing ...
% 37.72/5.73  Prover 1: Warning: ignoring some quantifiers
% 38.74/5.88  Prover 3: Warning: ignoring some quantifiers
% 39.68/5.98  Prover 1: Constructing countermodel ...
% 39.68/6.00  Prover 3: Constructing countermodel ...
% 41.62/6.19  Prover 6: Proving ...
% 42.03/6.26  Prover 4: Warning: ignoring some quantifiers
% 42.79/6.33  Prover 5: Proving ...
% 44.81/6.60  Prover 4: Constructing countermodel ...
% 47.14/6.91  Prover 2: Proving ...
% 47.45/7.06  Prover 3: proved (6418ms)
% 47.45/7.06  
% 47.45/7.06  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 47.45/7.06  
% 47.45/7.07  Prover 5: stopped
% 47.45/7.08  Prover 6: stopped
% 48.20/7.09  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 48.20/7.09  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 48.20/7.10  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 48.20/7.10  Prover 2: stopped
% 48.20/7.10  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 50.17/7.30  Prover 0: Proving ...
% 50.17/7.30  Prover 0: stopped
% 50.17/7.31  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 57.91/8.37  Prover 7: Preprocessing ...
% 58.99/8.45  Prover 10: Preprocessing ...
% 58.99/8.45  Prover 11: Preprocessing ...
% 58.99/8.46  Prover 8: Preprocessing ...
% 60.21/8.61  Prover 13: Preprocessing ...
% 66.05/9.36  Prover 10: Warning: ignoring some quantifiers
% 67.03/9.55  Prover 10: Constructing countermodel ...
% 67.68/9.61  Prover 7: Warning: ignoring some quantifiers
% 69.42/9.82  Prover 8: Warning: ignoring some quantifiers
% 69.42/9.84  Prover 13: Warning: ignoring some quantifiers
% 69.42/9.84  Prover 7: Constructing countermodel ...
% 70.37/9.90  Prover 1: Found proof (size 146)
% 70.37/9.90  Prover 1: proved (9262ms)
% 70.37/9.90  Prover 10: stopped
% 70.37/9.90  Prover 4: stopped
% 70.62/9.94  Prover 7: stopped
% 70.62/9.99  Prover 8: Constructing countermodel ...
% 71.08/10.01  Prover 8: stopped
% 71.08/10.01  Prover 13: Constructing countermodel ...
% 71.08/10.02  Prover 13: stopped
% 71.84/10.17  Prover 11: Warning: ignoring some quantifiers
% 72.31/10.30  Prover 11: Constructing countermodel ...
% 72.43/10.31  Prover 11: stopped
% 72.43/10.32  
% 72.43/10.32  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 72.43/10.32  
% 72.43/10.38  % SZS output start Proof for theBenchmark
% 72.43/10.40  Assumptions after simplification:
% 72.43/10.40  ---------------------------------
% 72.43/10.40  
% 72.43/10.40    (axiom155)
% 72.83/10.43    A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$(top$g)
% 72.83/10.43    & A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(f$) & B$(default$) &
% 72.83/10.43    A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$(t2$)
% 72.83/10.43    & C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(g$) &  ? [v0:
% 72.83/10.43      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ? [v1:
% 72.83/10.43      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.43    :  ? [v2:
% 72.83/10.43      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.43    :  ? [v3:
% 72.83/10.43      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.43    :  ? [v4:
% 72.83/10.43      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 72.83/10.43    :  ? [v5: B_ell2$] :  ? [v6: B_ell2_b_ell2_cblinfun$] : (fun_app$b(v4, v6) =
% 72.83/10.43      t2$ & inv_into$o(top$g, v3) = v4 & ket$(default$) = v5 & butterfly$(v5, v5)
% 72.83/10.43      = v6 & register_pair$i(f$, v2) = v3 & register_pair$a(f$, g$) = v0 &
% 72.83/10.43      complement$(v0) = v1 & register_pair$b(g$, v1) = v2 & B_ell2$(v5) &
% 72.83/10.43      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v3)
% 72.83/10.43      &
% 72.83/10.43      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v1)
% 72.83/10.43      &
% 72.83/10.43      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$(v4)
% 72.83/10.43      & A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v0) &
% 72.83/10.43      B_ell2_b_ell2_cblinfun$(v6) &
% 72.83/10.43      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v2))
% 72.83/10.43  
% 72.83/10.43    (axiom161)
% 72.83/10.43     ! [v0: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 72.83/10.43      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 72.83/10.43      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : ( ~
% 72.83/10.43      (register_pair$a(v0, v1) = v2) |  ~
% 72.83/10.43      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v0) |  ~
% 72.83/10.43      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v1) |  ? [v3: any] :  ?
% 72.83/10.43      [v4: any] : (register$g(v2) = v4 & compatible$(v0, v1) = v3 & ( ~ (v3 = 0) |
% 72.83/10.43          v4 = 0)))
% 72.83/10.43  
% 72.83/10.43    (axiom18)
% 72.83/10.43     ! [v0: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 72.83/10.43      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 72.83/10.43      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 72.83/10.43      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.43    :  ! [v4:
% 72.83/10.43      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.43    :  ! [v5: int] : (v5 = 0 |  ~ (register_pair$(v0, v3) = v4) |  ~
% 72.83/10.43      (complements$(v1, v4) = v5) |  ~ (register_pair$a(v0, v1) = v2) |  ~
% 72.83/10.43      (complement$(v2) = v3) |  ~
% 72.83/10.43      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v0) |  ~
% 72.83/10.43      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v1) |  ? [v6: int] : ( ~
% 72.83/10.43        (v6 = 0) & compatible$(v0, v1) = v6))
% 72.83/10.43  
% 72.83/10.43    (axiom21)
% 72.83/10.43    A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(f$) &
% 72.83/10.43    C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(g$) &  ? [v0:
% 72.83/10.43      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.43    :  ? [v1: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : 
% 72.83/10.43    ? [v2:
% 72.83/10.43      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.43    :  ? [v3:
% 72.83/10.43      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.43    : (complement$e(f$) = v0 & equivalent_registers$(v0, v3) = 0 &
% 72.83/10.43      register_pair$a(f$, g$) = v1 & complement$(v1) = v2 & register_pair$b(g$,
% 72.83/10.43        v2) = v3 &
% 72.83/10.43      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v2)
% 72.83/10.43      &
% 72.83/10.43      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v0)
% 72.83/10.43      & A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v1) &
% 72.83/10.43      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v3))
% 72.83/10.43  
% 72.83/10.43    (axiom22)
% 72.83/10.43    A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(f$) &
% 72.83/10.43    C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$(i$)
% 72.83/10.43    & C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(g$) &  ? [v0:
% 72.83/10.43      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ? [v1:
% 72.83/10.43      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.43    :  ? [v2:
% 72.83/10.43      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.43    :  ? [v3:
% 72.83/10.43      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.43    : (comp$(v3, i$) = v2 & complement$e(f$) = v3 & register_pair$a(f$, g$) = v0 &
% 72.83/10.43      complement$(v0) = v1 & register_pair$b(g$, v1) = v2 &
% 72.83/10.43      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v1)
% 72.83/10.43      &
% 72.83/10.43      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v3)
% 72.83/10.43      & A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v0) &
% 72.83/10.43      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v2))
% 72.83/10.43  
% 72.83/10.43    (axiom25)
% 72.83/10.44    A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(f$) &
% 72.83/10.44    C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(g$) &  ? [v0:
% 72.83/10.44      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ? [v1:
% 72.83/10.44      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.44    :  ? [v2:
% 72.83/10.44      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.44    :  ? [v3:
% 72.83/10.44      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.44    : (complement$e(f$) = v3 & register_pair$a(f$, g$) = v0 & complement$(v0) = v1
% 72.83/10.44      & register_pair$b(g$, v1) = v2 &
% 72.83/10.44      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v1)
% 72.83/10.44      &
% 72.83/10.44      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v3)
% 72.83/10.44      & A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v0) &
% 72.83/10.44      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v2)
% 72.83/10.44      &  ? [v4:
% 72.83/10.44        C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 72.83/10.44      : (iso_register$(v4) = 0 & comp$(v3, v4) = v2 &
% 72.83/10.44        C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$(v4)))
% 72.83/10.44  
% 72.83/10.44    (axiom26)
% 72.83/10.44    A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$(top$)
% 72.83/10.44    & B_ell2_b_ell2_cblinfun_set$(top$a) &
% 72.83/10.44    A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(f$) &
% 72.83/10.44    C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(g$) &  ? [v0:
% 72.83/10.44      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ? [v1:
% 72.83/10.44      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.44    :  ? [v2:
% 72.83/10.44      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.44    : (register_pair$n(v0, v1) = v2 & bij_betw$(v2, top$, top$a) = 0 &
% 72.83/10.44      register_pair$a(f$, g$) = v0 & complement$(v0) = v1 &
% 72.83/10.44      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v1)
% 72.83/10.44      &
% 72.83/10.44      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v2)
% 72.83/10.44      & A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v0))
% 72.83/10.44  
% 72.83/10.44    (axiom27)
% 72.83/10.44    C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$(t3$)
% 72.83/10.44    &
% 72.83/10.44    C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$(top$b)
% 72.83/10.44    & A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(f$) & B$(default$) &
% 72.83/10.44    C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(g$) &  ? [v0:
% 72.83/10.44      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ? [v1:
% 72.83/10.44      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.44    :  ? [v2:
% 72.83/10.44      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.44    :  ? [v3:
% 72.83/10.44      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.44    :  ? [v4:
% 72.83/10.44      B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 72.83/10.44    :  ? [v5: B_ell2$] :  ? [v6: B_ell2_b_ell2_cblinfun$] : (inv_into$(top$b, v3)
% 72.83/10.44      = v4 & ket$(default$) = v5 & butterfly$(v5, v5) = v6 & fun_app$(v4, v6) =
% 72.83/10.44      t3$ & register_pair$(f$, v1) = v2 & register_pair$d(g$, v2) = v3 &
% 72.83/10.44      register_pair$a(f$, g$) = v0 & complement$(v0) = v1 & B_ell2$(v5) &
% 72.83/10.44      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v1)
% 72.83/10.44      &
% 72.83/10.44      B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$(v4)
% 72.83/10.44      &
% 72.83/10.44      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v2)
% 72.83/10.44      & A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v0) &
% 72.83/10.44      B_ell2_b_ell2_cblinfun$(v6) &
% 72.83/10.44      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v3))
% 72.83/10.44  
% 72.83/10.44    (axiom287)
% 72.83/10.44    A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$(assoc$g)
% 72.83/10.44    &  ! [v0: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 72.83/10.44      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 72.83/10.44      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.44    :  ! [v3:
% 72.83/10.44      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.44    :  ! [v4:
% 72.83/10.44      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.44    : ( ~ (register_pair$i(v0, v3) = v4) |  ~ (register_pair$b(v1, v2) = v3) |  ~
% 72.83/10.44      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v2)
% 72.83/10.44      |  ~ A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v0) |  ~
% 72.83/10.44      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v1) |  ? [v5: any] :  ?
% 72.83/10.44      [v6: any] :  ? [v7: any] :  ? [v8:
% 72.83/10.44        A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ?
% 72.83/10.44      [v9:
% 72.83/10.44        A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.44      :  ? [v10:
% 72.83/10.44        A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.44      : (comp$av(v9, assoc$g) = v10 & compatible$p(v1, v2) = v6 &
% 72.83/10.44        register_pair$n(v8, v2) = v9 & compatible$b(v0, v2) = v7 &
% 72.83/10.44        register_pair$a(v0, v1) = v8 & compatible$(v0, v1) = v5 &
% 72.83/10.44        A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v10)
% 72.83/10.44        &
% 72.83/10.44        A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v9)
% 72.83/10.44        & A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v8) & (
% 72.83/10.44          ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0) | v10 = v4)))
% 72.83/10.44  
% 72.83/10.44    (axiom295)
% 72.83/10.44    A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$(assoc$o)
% 72.83/10.44    &  ! [v0: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 72.83/10.44      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 72.83/10.44      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.44    :  ! [v3:
% 72.83/10.44      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.44    :  ! [v4:
% 72.83/10.44      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.44    : ( ~ (register_pair$i(v0, v3) = v4) |  ~ (register_pair$b(v1, v2) = v3) |  ~
% 72.83/10.44      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v2)
% 72.83/10.44      |  ~ A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v0) |  ~
% 72.83/10.44      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v1) |  ? [v5: any] :  ?
% 72.83/10.44      [v6: any] :  ? [v7: any] :  ? [v8:
% 72.83/10.44        A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.44      :  ? [v9: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.44      :  ? [v10:
% 72.83/10.45        A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.45      : (comp$bd(v4, assoc$o) = v8 & compatible$p(v1, v2) = v6 &
% 72.83/10.45        register_pair$n(v9, v2) = v10 & compatible$b(v0, v2) = v7 &
% 72.83/10.45        register_pair$a(v0, v1) = v9 & compatible$(v0, v1) = v5 &
% 72.83/10.45        A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v10)
% 72.83/10.45        &
% 72.83/10.45        A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v8)
% 72.83/10.45        & A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v9) & (
% 72.83/10.45          ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0) | v10 = v8)))
% 72.83/10.45  
% 72.83/10.45    (axiom3)
% 72.83/10.45    compatible$(f$, g$) = 0 &
% 72.83/10.45    A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(f$) &
% 72.83/10.45    C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(g$)
% 72.83/10.45  
% 72.83/10.45    (axiom4)
% 72.83/10.45    A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(f$) &
% 72.83/10.45    C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(g$) &  ? [v0:
% 72.83/10.45      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ? [v1:
% 72.83/10.45      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.45    :  ? [v2:
% 72.83/10.45      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.45    : (register_pair$a(f$, g$) = v0 & complement$(v0) = v1 & register_pair$b(g$,
% 72.83/10.45        v1) = v2 & complements$a(f$, v2) = 0 &
% 72.83/10.45      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v1)
% 72.83/10.45      & A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v0) &
% 72.83/10.45      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v2))
% 72.83/10.45  
% 72.83/10.45    (axiom96)
% 72.83/10.45    A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$(top$)
% 72.83/10.45    & A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(f$) & B$(default$) &
% 72.83/10.45    A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$(t1$)
% 72.83/10.45    & C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(g$) &  ? [v0:
% 72.83/10.45      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ? [v1:
% 72.83/10.45      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.45    :  ? [v2:
% 72.83/10.45      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.45    :  ? [v3:
% 72.83/10.45      B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 72.83/10.45    :  ? [v4: B_ell2$] :  ? [v5: B_ell2_b_ell2_cblinfun$] : (inv_into$a(top$, v2)
% 72.83/10.45      = v3 & fun_app$a(v3, v5) = t1$ & ket$(default$) = v4 & butterfly$(v4, v4) =
% 72.83/10.45      v5 & register_pair$n(v0, v1) = v2 & register_pair$a(f$, g$) = v0 &
% 72.83/10.45      complement$(v0) = v1 & B_ell2$(v4) &
% 72.83/10.45      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v1)
% 72.83/10.45      &
% 72.83/10.45      B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$(v3)
% 72.83/10.45      &
% 72.83/10.45      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v2)
% 72.83/10.45      & A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v0) &
% 72.83/10.45      B_ell2_b_ell2_cblinfun$(v5))
% 72.83/10.45  
% 72.83/10.45    (conjecture0)
% 72.83/10.45    A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(f$) &
% 72.83/10.45    C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(g$) &  ? [v0:
% 72.83/10.45      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ? [v1:
% 72.83/10.45      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.45    :  ? [v2:
% 72.83/10.45      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 72.83/10.45    :  ? [v3: int] : ( ~ (v3 = 0) & register_pair$(f$, v1) = v2 & complements$(g$,
% 72.83/10.45        v2) = v3 & register_pair$a(f$, g$) = v0 & complement$(v0) = v1 &
% 72.83/10.45      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v1)
% 72.83/10.45      &
% 72.83/10.45      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v2)
% 72.83/10.45      & A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v0))
% 72.83/10.45  
% 72.83/10.45    (function-axioms)
% 73.63/10.59     ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.59      A_ell2_a_ell2_cblinfun_set$] :  ! [v3:
% 73.63/10.59      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.63/10.59    :  ! [v4:
% 73.63/10.59      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.63/10.59    : (v1 = v0 |  ~ (bij_betw$ae(v4, v3, v2) = v1) |  ~ (bij_betw$ae(v4, v3, v2) =
% 73.63/10.59        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.59      A_ell2_a_ell2_cblinfun_set$] :  ! [v3:
% 73.63/10.59      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.63/10.59    :  ! [v4:
% 73.63/10.59      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.63/10.59    : (v1 = v0 |  ~ (bij_betw$ad(v4, v3, v2) = v1) |  ~ (bij_betw$ad(v4, v3, v2) =
% 73.63/10.59        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.59      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.63/10.59    :  ! [v3: A_ell2_a_ell2_cblinfun_set$] :  ! [v4:
% 73.63/10.59      A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.63/10.59    : (v1 = v0 |  ~ (bij_betw$ac(v4, v3, v2) = v1) |  ~ (bij_betw$ac(v4, v3, v2) =
% 73.63/10.59        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.59      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.63/10.59    :  ! [v3: A_ell2_a_ell2_cblinfun_set$] :  ! [v4:
% 73.63/10.59      A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.63/10.59    : (v1 = v0 |  ~ (bij_betw$ab(v4, v3, v2) = v1) |  ~ (bij_betw$ab(v4, v3, v2) =
% 73.63/10.59        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.59      A_ell2_a_ell2_cblinfun_set$] :  ! [v3: B_ell2_b_ell2_cblinfun_set$] :  !
% 73.63/10.59    [v4: B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.63/10.59      (bij_betw$aa(v4, v3, v2) = v1) |  ~ (bij_betw$aa(v4, v3, v2) = v0)) &  !
% 73.63/10.59    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.59      B_ell2_b_ell2_cblinfun_set$] :  ! [v3: A_ell2_a_ell2_cblinfun_set$] :  !
% 73.63/10.59    [v4: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.63/10.59      (bij_betw$z(v4, v3, v2) = v1) |  ~ (bij_betw$z(v4, v3, v2) = v0)) &  ! [v0:
% 73.63/10.59      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.59      A_ell2_a_ell2_cblinfun_set$] :  ! [v3: A_ell2_a_ell2_cblinfun_set$] :  !
% 73.63/10.59    [v4: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.63/10.59      (bij_betw$y(v4, v3, v2) = v1) |  ~ (bij_betw$y(v4, v3, v2) = v0)) &  ! [v0:
% 73.63/10.59      C_ell2_c_ell2_cblinfun$] :  ! [v1: C_ell2_c_ell2_cblinfun$] :  ! [v2:
% 73.63/10.59      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$]
% 73.63/10.59    :  ! [v3:
% 73.63/10.59      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.63/10.59    :  ! [v4: C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.63/10.59      (register_pair$bb(v4, v3, v2) = v1) |  ~ (register_pair$bb(v4, v3, v2) =
% 73.63/10.59        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.59      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.63/10.59    :  ! [v3:
% 73.63/10.59      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.63/10.59    :  ! [v4:
% 73.63/10.59      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.63/10.59    : (v1 = v0 |  ~ (bij_betw$x(v4, v3, v2) = v1) |  ~ (bij_betw$x(v4, v3, v2) =
% 73.63/10.59        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.59      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.63/10.59    :  ! [v3:
% 73.63/10.59      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.63/10.59    :  ! [v4:
% 73.63/10.59      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.63/10.59    : (v1 = v0 |  ~ (bij_betw$w(v4, v3, v2) = v1) |  ~ (bij_betw$w(v4, v3, v2) =
% 73.63/10.59        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.59      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.63/10.59    :  ! [v3:
% 73.63/10.59      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.63/10.59    :  ! [v4:
% 73.63/10.59      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.63/10.59    : (v1 = v0 |  ~ (bij_betw$v(v4, v3, v2) = v1) |  ~ (bij_betw$v(v4, v3, v2) =
% 73.63/10.59        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.59      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.63/10.59    :  ! [v3:
% 73.63/10.59      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.63/10.59    :  ! [v4:
% 73.63/10.59      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.63/10.59    : (v1 = v0 |  ~ (bij_betw$u(v4, v3, v2) = v1) |  ~ (bij_betw$u(v4, v3, v2) =
% 73.63/10.59        v0)) &  ! [v0: C_ell2_c_ell2_cblinfun$] :  ! [v1: C_ell2_c_ell2_cblinfun$]
% 73.63/10.59    :  ! [v2:
% 73.63/10.59      C_c_c_complement_domain_prod_ell2_c_c_c_complement_domain_prod_ell2_cblinfun$]
% 73.63/10.59    :  ! [v3:
% 73.63/10.59      C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.63/10.59    :  ! [v4: C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.63/10.59      (register_pair$ay(v4, v3, v2) = v1) |  ~ (register_pair$ay(v4, v3, v2) =
% 73.63/10.59        v0)) &  ! [v0: A_ell2_a_ell2_cblinfun$] :  ! [v1: A_ell2_a_ell2_cblinfun$]
% 73.63/10.59    :  ! [v2:
% 73.63/10.59      C_c_a_complement_domain_prod_ell2_c_c_a_complement_domain_prod_ell2_cblinfun$]
% 73.63/10.59    :  ! [v3:
% 73.63/10.59      C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.63/10.59    :  ! [v4: C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.63/10.59      (register_pair$ax(v4, v3, v2) = v1) |  ~ (register_pair$ax(v4, v3, v2) =
% 73.63/10.59        v0)) &  ! [v0: C_ell2_c_ell2_cblinfun$] :  ! [v1: C_ell2_c_ell2_cblinfun$]
% 73.63/10.59    :  ! [v2:
% 73.63/10.59      A_a_c_complement_domain_prod_ell2_a_a_c_complement_domain_prod_ell2_cblinfun$]
% 73.63/10.59    :  ! [v3:
% 73.63/10.59      A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.63/10.59    :  ! [v4: A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.63/10.59      (register_pair$aw(v4, v3, v2) = v1) |  ~ (register_pair$aw(v4, v3, v2) =
% 73.63/10.59        v0)) &  ! [v0: A_ell2_a_ell2_cblinfun$] :  ! [v1: A_ell2_a_ell2_cblinfun$]
% 73.63/10.59    :  ! [v2:
% 73.63/10.59      A_a_a_complement_domain_prod_ell2_a_a_a_complement_domain_prod_ell2_cblinfun$]
% 73.63/10.59    :  ! [v3:
% 73.63/10.59      A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.63/10.59    :  ! [v4: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.63/10.59      (register_pair$av(v4, v3, v2) = v1) |  ~ (register_pair$av(v4, v3, v2) =
% 73.63/10.59        v0)) &  ! [v0: C_ell2_c_ell2_cblinfun$] :  ! [v1: C_ell2_c_ell2_cblinfun$]
% 73.63/10.59    :  ! [v2:
% 73.63/10.60      B_b_c_complement_domain_prod_ell2_b_b_c_complement_domain_prod_ell2_cblinfun$]
% 73.63/10.60    :  ! [v3:
% 73.63/10.60      B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.63/10.60    :  ! [v4: B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.63/10.60      (register_pair$au(v4, v3, v2) = v1) |  ~ (register_pair$au(v4, v3, v2) =
% 73.63/10.60        v0)) &  ! [v0: A_ell2_a_ell2_cblinfun$] :  ! [v1: A_ell2_a_ell2_cblinfun$]
% 73.63/10.60    :  ! [v2:
% 73.63/10.60      B_b_a_complement_domain_prod_ell2_b_b_a_complement_domain_prod_ell2_cblinfun$]
% 73.63/10.60    :  ! [v3:
% 73.63/10.60      B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.63/10.60    :  ! [v4: B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.63/10.60      (register_pair$at(v4, v3, v2) = v1) |  ~ (register_pair$at(v4, v3, v2) =
% 73.63/10.60        v0)) &  ! [v0: B_ell2_b_ell2_cblinfun$] :  ! [v1: B_ell2_b_ell2_cblinfun$]
% 73.63/10.60    :  ! [v2:
% 73.63/10.60      B_b_b_complement_domain_prod_ell2_b_b_b_complement_domain_prod_ell2_cblinfun$]
% 73.63/10.60    :  ! [v3:
% 73.63/10.60      B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.63/10.60    :  ! [v4: B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.63/10.60      (register_pair$as(v4, v3, v2) = v1) |  ~ (register_pair$as(v4, v3, v2) =
% 73.63/10.60        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.60      B_ell2_b_ell2_cblinfun_set$] :  ! [v3:
% 73.63/10.60      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.63/10.60    :  ! [v4:
% 73.63/10.60      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (bij_betw$t(v4, v3, v2) = v1) |  ~ (bij_betw$t(v4, v3, v2) =
% 73.63/10.60        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.63/10.60    :  ! [v3:
% 73.63/10.60      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.63/10.60    :  ! [v4:
% 73.63/10.60      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (bij_betw$s(v4, v3, v2) = v1) |  ~ (bij_betw$s(v4, v3, v2) =
% 73.63/10.60        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.63/10.60    :  ! [v3: B_ell2_b_ell2_cblinfun_set$] :  ! [v4:
% 73.63/10.60      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (bij_betw$r(v4, v3, v2) = v1) |  ~ (bij_betw$r(v4, v3, v2) =
% 73.63/10.60        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.60      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.63/10.60    :  ! [v3: B_ell2_b_ell2_cblinfun_set$] :  ! [v4:
% 73.63/10.60      B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (bij_betw$q(v4, v3, v2) = v1) |  ~ (bij_betw$q(v4, v3, v2) =
% 73.63/10.60        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.60      B_ell2_b_ell2_cblinfun_set$] :  ! [v3:
% 73.63/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.63/10.60    :  ! [v4:
% 73.63/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (bij_betw$p(v4, v3, v2) = v1) |  ~ (bij_betw$p(v4, v3, v2) =
% 73.63/10.60        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.60      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.63/10.60    :  ! [v3:
% 73.63/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.63/10.60    :  ! [v4:
% 73.63/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (bij_betw$o(v4, v3, v2) = v1) |  ~ (bij_betw$o(v4, v3, v2) =
% 73.63/10.60        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.60      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.63/10.60    :  ! [v3:
% 73.63/10.60      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.63/10.60    :  ! [v4:
% 73.63/10.60      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (bij_betw$n(v4, v3, v2) = v1) |  ~ (bij_betw$n(v4, v3, v2) =
% 73.63/10.60        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.60      B_ell2_b_ell2_cblinfun_set$] :  ! [v3:
% 73.63/10.60      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.63/10.60    :  ! [v4:
% 73.63/10.60      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (bij_betw$m(v4, v3, v2) = v1) |  ~ (bij_betw$m(v4, v3, v2) =
% 73.63/10.60        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.60      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.63/10.60    :  ! [v3:
% 73.63/10.60      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.63/10.60    :  ! [v4:
% 73.63/10.60      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (bij_betw$l(v4, v3, v2) = v1) |  ~ (bij_betw$l(v4, v3, v2) =
% 73.63/10.60        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.60      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.63/10.60    :  ! [v3:
% 73.63/10.60      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.63/10.60    :  ! [v4:
% 73.63/10.60      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (bij_betw$k(v4, v3, v2) = v1) |  ~ (bij_betw$k(v4, v3, v2) =
% 73.63/10.60        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.60      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.63/10.60    :  ! [v3: B_ell2_b_ell2_cblinfun_set$] :  ! [v4:
% 73.63/10.60      B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (bij_betw$j(v4, v3, v2) = v1) |  ~ (bij_betw$j(v4, v3, v2) =
% 73.63/10.60        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.60      B_ell2_b_ell2_cblinfun_set$] :  ! [v3:
% 73.63/10.60      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$] :  !
% 73.63/10.60    [v4:
% 73.63/10.60      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (bij_betw$h(v4, v3, v2) = v1) |  ~ (bij_betw$h(v4, v3, v2) =
% 73.63/10.60        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.60      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$] :  !
% 73.63/10.60    [v3:
% 73.63/10.60      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.63/10.60    :  ! [v4:
% 73.63/10.60      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (bij_betw$i(v4, v3, v2) = v1) |  ~ (bij_betw$i(v4, v3, v2) =
% 73.63/10.60        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.60      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.63/10.60    :  ! [v3: A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$]
% 73.63/10.60    :  ! [v4:
% 73.63/10.60      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (bij_betw$f(v4, v3, v2) = v1) |  ~ (bij_betw$f(v4, v3, v2) =
% 73.63/10.60        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.60      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$] :  !
% 73.63/10.60    [v3: B_ell2_b_ell2_cblinfun_set$] :  ! [v4:
% 73.63/10.60      B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (bij_betw$g(v4, v3, v2) = v1) |  ~ (bij_betw$g(v4, v3, v2) =
% 73.63/10.60        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.60      B_ell2_b_ell2_cblinfun_set$] :  ! [v3:
% 73.63/10.60      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.63/10.60    :  ! [v4:
% 73.63/10.60      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (bij_betw$d(v4, v3, v2) = v1) |  ~ (bij_betw$d(v4, v3, v2) =
% 73.63/10.60        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.60      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.63/10.60    :  ! [v3: B_ell2_b_ell2_cblinfun_set$] :  ! [v4:
% 73.63/10.60      B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (bij_betw$e(v4, v3, v2) = v1) |  ~ (bij_betw$e(v4, v3, v2) =
% 73.63/10.60        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.60      B_ell2_b_ell2_cblinfun_set$] :  ! [v3:
% 73.63/10.60      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.63/10.60    :  ! [v4:
% 73.63/10.60      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (bij_betw$b(v4, v3, v2) = v1) |  ~ (bij_betw$b(v4, v3, v2) =
% 73.63/10.60        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.60      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.63/10.60    :  ! [v3: B_ell2_b_ell2_cblinfun_set$] :  ! [v4:
% 73.63/10.60      B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (bij_betw$c(v4, v3, v2) = v1) |  ~ (bij_betw$c(v4, v3, v2) =
% 73.63/10.60        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.60      B_ell2_b_ell2_cblinfun_set$] :  ! [v3: B_ell2_b_ell2_cblinfun_set$] :  !
% 73.63/10.60    [v4: B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.63/10.60      (bij_betw$a(v4, v3, v2) = v1) |  ~ (bij_betw$a(v4, v3, v2) = v0)) &  ! [v0:
% 73.63/10.60      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.60      B_ell2_b_ell2_cblinfun_set$] :  ! [v3:
% 73.63/10.60      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.63/10.60    :  ! [v4:
% 73.63/10.60      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (bij_betw$(v4, v3, v2) = v1) |  ~ (bij_betw$(v4, v3, v2) =
% 73.63/10.60        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.60      B_ell2_b_ell2_cblinfun$] :  ! [v3: B_ell2_b_ell2_cblinfun_bool_fun$] : (v1 =
% 73.63/10.60      v0 |  ~ (fun_app$be(v3, v2) = v1) |  ~ (fun_app$be(v3, v2) = v0)) &  ! [v0:
% 73.63/10.60      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.63/10.60    :  ! [v3:
% 73.63/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (fun_app$bd(v3, v2) = v1) |  ~ (fun_app$bd(v3, v2) = v0)) &  !
% 73.63/10.60    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.60      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 73.63/10.60    :  ! [v3:
% 73.63/10.60      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_bool_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (fun_app$bc(v3, v2) = v1) |  ~ (fun_app$bc(v3, v2) = v0)) &  !
% 73.63/10.60    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.60      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.63/10.60    :  ! [v3:
% 73.63/10.60      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (fun_app$bb(v3, v2) = v1) |  ~ (fun_app$bb(v3, v2) = v0)) &  !
% 73.63/10.60    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.63/10.60      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$]
% 73.63/10.60    :  ! [v3:
% 73.63/10.60      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_bool_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (fun_app$ba(v3, v2) = v1) |  ~ (fun_app$ba(v3, v2) = v0)) &  !
% 73.63/10.60    [v0:
% 73.63/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.63/10.60    :  ! [v1:
% 73.63/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.63/10.60    :  ! [v2:
% 73.63/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.63/10.60    :  ! [v3:
% 73.63/10.60      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (comp$dq(v3, v2) = v1) |  ~ (comp$dq(v3, v2) = v0)) &  ! [v0:
% 73.63/10.60      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.63/10.60    :  ! [v1:
% 73.63/10.60      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.63/10.60    :  ! [v2:
% 73.63/10.60      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.63/10.60    :  ! [v3:
% 73.63/10.60      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (comp$do(v3, v2) = v1) |  ~ (comp$do(v3, v2) = v0)) &  ! [v0:
% 73.63/10.60      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.63/10.60    :  ! [v1:
% 73.63/10.60      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.63/10.60    :  ! [v2:
% 73.63/10.60      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.63/10.60    :  ! [v3:
% 73.63/10.60      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (comp$dp(v3, v2) = v1) |  ~ (comp$dp(v3, v2) = v0)) &  ! [v0:
% 73.63/10.60      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v1:
% 73.63/10.60      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v2:
% 73.63/10.60      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.63/10.60      B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.63/10.60      (comp$dm(v3, v2) = v1) |  ~ (comp$dm(v3, v2) = v0)) &  ! [v0:
% 73.63/10.60      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 73.63/10.60      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 73.63/10.60      B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v3:
% 73.63/10.60      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.63/10.60      (comp$dn(v3, v2) = v1) |  ~ (comp$dn(v3, v2) = v0)) &  ! [v0:
% 73.63/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.63/10.60    :  ! [v1:
% 73.63/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.63/10.60    :  ! [v2:
% 73.63/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.63/10.60    :  ! [v3:
% 73.63/10.60      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (comp$dl(v3, v2) = v1) |  ~ (comp$dl(v3, v2) = v0)) &  ! [v0:
% 73.63/10.60      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 73.63/10.60      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 73.63/10.60      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.63/10.60    :  ! [v3:
% 73.63/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (comp$dk(v3, v2) = v1) |  ~ (comp$dk(v3, v2) = v0)) &  ! [v0:
% 73.63/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.63/10.60    :  ! [v1:
% 73.63/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.63/10.60    :  ! [v2:
% 73.63/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.63/10.60    :  ! [v3:
% 73.63/10.60      A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (comp$dj(v3, v2) = v1) |  ~ (comp$dj(v3, v2) = v0)) &  ! [v0:
% 73.63/10.60      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v1:
% 73.63/10.60      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v2:
% 73.63/10.60      A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.63/10.60    :  ! [v3:
% 73.63/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.63/10.60    : (v1 = v0 |  ~ (comp$di(v3, v2) = v1) |  ~ (comp$di(v3, v2) = v0)) &  ! [v0:
% 73.63/10.60      A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.63/10.60    :  ! [v1:
% 73.63/10.60      A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.63/10.60    :  ! [v2:
% 73.63/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.63/10.60    :  ! [v3:
% 73.63/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.63/10.60    : (v1 = v0 |  ~ (inv_into$ar(v3, v2) = v1) |  ~ (inv_into$ar(v3, v2) = v0)) & 
% 73.63/10.60    ! [v0:
% 73.63/10.60      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.63/10.60    :  ! [v1:
% 73.72/10.60      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v2:
% 73.72/10.60      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v3:
% 73.72/10.60      B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.72/10.60    : (v1 = v0 |  ~ (comp$dh(v3, v2) = v1) |  ~ (comp$dh(v3, v2) = v0)) &  ! [v0:
% 73.72/10.60      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 73.72/10.60      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 73.72/10.60      B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v3:
% 73.72/10.60      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.60    : (v1 = v0 |  ~ (comp$dg(v3, v2) = v1) |  ~ (comp$dg(v3, v2) = v0)) &  ! [v0:
% 73.72/10.60      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v1:
% 73.72/10.60      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v2:
% 73.72/10.60      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v3:
% 73.72/10.60      A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.72/10.60    : (v1 = v0 |  ~ (comp$df(v3, v2) = v1) |  ~ (comp$df(v3, v2) = v0)) &  ! [v0:
% 73.72/10.60      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v1:
% 73.72/10.60      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v2:
% 73.72/10.60      A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v3:
% 73.72/10.60      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.72/10.60    : (v1 = v0 |  ~ (comp$de(v3, v2) = v1) |  ~ (comp$de(v3, v2) = v0)) &  ! [v0:
% 73.72/10.60      A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v1:
% 73.72/10.60      A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v2:
% 73.72/10.60      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v3:
% 73.72/10.60      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.72/10.60    : (v1 = v0 |  ~ (inv_into$aq(v3, v2) = v1) |  ~ (inv_into$aq(v3, v2) = v0)) & 
% 73.72/10.60    ! [v0:
% 73.72/10.60      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v1:
% 73.72/10.60      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v2:
% 73.72/10.60      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v3:
% 73.72/10.60      B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.60    : (v1 = v0 |  ~ (comp$dd(v3, v2) = v1) |  ~ (comp$dd(v3, v2) = v0)) &  ! [v0:
% 73.72/10.60      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v1:
% 73.72/10.60      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v2:
% 73.72/10.60      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v3:
% 73.72/10.60      A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.60    : (v1 = v0 |  ~ (comp$dc(v3, v2) = v1) |  ~ (comp$dc(v3, v2) = v0)) &  ! [v0:
% 73.72/10.60      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v1:
% 73.72/10.60      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v2:
% 73.72/10.60      A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v3:
% 73.72/10.60      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.72/10.60    : (v1 = v0 |  ~ (comp$db(v3, v2) = v1) |  ~ (comp$db(v3, v2) = v0)) &  ! [v0:
% 73.72/10.60      A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v1:
% 73.72/10.60      A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v2:
% 73.72/10.60      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v3:
% 73.72/10.60      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.72/10.60    : (v1 = v0 |  ~ (inv_into$ap(v3, v2) = v1) |  ~ (inv_into$ap(v3, v2) = v0)) & 
% 73.72/10.60    ! [v0:
% 73.72/10.60      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v1:
% 73.72/10.60      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v2:
% 73.72/10.60      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v3:
% 73.72/10.60      B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.60    : (v1 = v0 |  ~ (comp$da(v3, v2) = v1) |  ~ (comp$da(v3, v2) = v0)) &  ! [v0:
% 73.72/10.60      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v1:
% 73.72/10.60      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v2:
% 73.72/10.60      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v3:
% 73.72/10.60      A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.60    : (v1 = v0 |  ~ (comp$cz(v3, v2) = v1) |  ~ (comp$cz(v3, v2) = v0)) &  ! [v0:
% 73.72/10.60      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v1:
% 73.72/10.60      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v2:
% 73.72/10.60      A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v3:
% 73.72/10.60      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.72/10.60    : (v1 = v0 |  ~ (comp$cy(v3, v2) = v1) |  ~ (comp$cy(v3, v2) = v0)) &  ! [v0:
% 73.72/10.60      A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v1:
% 73.72/10.60      A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v2:
% 73.72/10.60      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v3:
% 73.72/10.60      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.72/10.60    : (v1 = v0 |  ~ (inv_into$ao(v3, v2) = v1) |  ~ (inv_into$ao(v3, v2) = v0)) & 
% 73.72/10.60    ! [v0: B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 73.72/10.60      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 73.72/10.60      B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v3:
% 73.72/10.60      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.72/10.60      (comp$cx(v3, v2) = v1) |  ~ (comp$cx(v3, v2) = v0)) &  ! [v0:
% 73.72/10.60      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 73.72/10.60      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 73.72/10.60      B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v3:
% 73.72/10.60      B_ell2_b_ell2_cblinfun_set$] : (v1 = v0 |  ~ (inv_into$an(v3, v2) = v1) |  ~
% 73.72/10.60      (inv_into$an(v3, v2) = v0)) &  ! [v0:
% 73.72/10.60      C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v1:
% 73.72/10.60      C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v2:
% 73.72/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v3:
% 73.72/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.72/10.60    : (v1 = v0 |  ~ (inv_into$am(v3, v2) = v1) |  ~ (inv_into$am(v3, v2) = v0)) & 
% 73.72/10.60    ! [v0:
% 73.72/10.60      A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v1:
% 73.72/10.60      A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v2:
% 73.72/10.60      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v3:
% 73.72/10.60      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.72/10.60    : (v1 = v0 |  ~ (inv_into$al(v3, v2) = v1) |  ~ (inv_into$al(v3, v2) = v0)) & 
% 73.72/10.60    ! [v0:
% 73.72/10.60      A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v1:
% 73.72/10.60      A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v2:
% 73.72/10.60      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v3:
% 73.72/10.60      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.72/10.60    : (v1 = v0 |  ~ (inv_into$ak(v3, v2) = v1) |  ~ (inv_into$ak(v3, v2) = v0)) & 
% 73.72/10.60    ! [v0:
% 73.72/10.60      C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v1:
% 73.72/10.60      C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v2:
% 73.72/10.60      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v3:
% 73.72/10.60      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.72/10.60    : (v1 = v0 |  ~ (inv_into$aj(v3, v2) = v1) |  ~ (inv_into$aj(v3, v2) = v0)) & 
% 73.72/10.60    ! [v0:
% 73.72/10.60      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$]
% 73.72/10.60    :  ! [v1:
% 73.72/10.60      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$]
% 73.72/10.60    :  ! [v2: A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] : 
% 73.72/10.60    ! [v3:
% 73.72/10.60      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.60    : (v1 = v0 |  ~ (fun_app$az(v3, v2) = v1) |  ~ (fun_app$az(v3, v2) = v0)) &  !
% 73.72/10.60    [v0:
% 73.72/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v1:
% 73.72/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v2:
% 73.72/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v3:
% 73.72/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.72/10.60    : (v1 = v0 |  ~ (inv_into$ai(v3, v2) = v1) |  ~ (inv_into$ai(v3, v2) = v0)) & 
% 73.72/10.60    ! [v0:
% 73.72/10.60      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v1:
% 73.72/10.60      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v2:
% 73.72/10.60      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v3:
% 73.72/10.60      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.72/10.60    : (v1 = v0 |  ~ (inv_into$ah(v3, v2) = v1) |  ~ (inv_into$ah(v3, v2) = v0)) & 
% 73.72/10.60    ! [v0:
% 73.72/10.60      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v1:
% 73.72/10.60      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v2:
% 73.72/10.60      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v3:
% 73.72/10.60      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.72/10.60    : (v1 = v0 |  ~ (inv_into$ag(v3, v2) = v1) |  ~ (inv_into$ag(v3, v2) = v0)) & 
% 73.72/10.60    ! [v0:
% 73.72/10.60      A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v1:
% 73.72/10.60      A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$]
% 73.72/10.60    :  ! [v2: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v3:
% 73.72/10.60      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.72/10.60      (register_tensor$bq(v3, v2) = v1) |  ~ (register_tensor$bq(v3, v2) = v0)) & 
% 73.72/10.60    ! [v0:
% 73.72/10.60      C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun$]
% 73.72/10.60    :  ! [v1:
% 73.72/10.60      C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun$]
% 73.72/10.60    :  ! [v2:
% 73.72/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.72/10.60    :  ! [v3:
% 73.72/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun$]
% 73.72/10.60    : (v1 = v0 |  ~ (fun_app$ay(v3, v2) = v1) |  ~ (fun_app$ay(v3, v2) = v0)) &  !
% 73.72/10.60    [v0:
% 73.72/10.60      C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun$]
% 73.72/10.60    :  ! [v1:
% 73.72/10.60      C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun$]
% 73.72/10.60    :  ! [v2:
% 73.72/10.60      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$]
% 73.72/10.60    :  ! [v3:
% 73.72/10.60      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_fun$]
% 73.72/10.60    : (v1 = v0 |  ~ (fun_app$ax(v3, v2) = v1) |  ~ (fun_app$ax(v3, v2) = v0)) &  !
% 73.72/10.60    [v0:
% 73.72/10.60      A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun$]
% 73.72/10.60    :  ! [v1:
% 73.72/10.60      A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun$]
% 73.72/10.60    :  ! [v2:
% 73.72/10.60      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 73.72/10.60    :  ! [v3:
% 73.72/10.60      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun$]
% 73.72/10.60    : (v1 = v0 |  ~ (fun_app$aw(v3, v2) = v1) |  ~ (fun_app$aw(v3, v2) = v0)) &  !
% 73.72/10.60    [v0:
% 73.72/10.60      C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun$]
% 73.72/10.60    :  ! [v1:
% 73.72/10.60      C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun$]
% 73.72/10.60    :  ! [v2: A_ell2_a_ell2_cblinfun$] :  ! [v3:
% 73.72/10.60      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$]
% 73.72/10.60    : (v1 = v0 |  ~ (tensor_op$x(v3, v2) = v1) |  ~ (tensor_op$x(v3, v2) = v0)) & 
% 73.72/10.60    ! [v0:
% 73.72/10.60      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.72/10.61    :  ! [v2:
% 73.72/10.61      C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun$]
% 73.72/10.61    :  ! [v3:
% 73.72/10.61      C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (fun_app$av(v3, v2) = v1) |  ~ (fun_app$av(v3, v2) = v0)) &  !
% 73.72/10.61    [v0:
% 73.72/10.61      C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun$]
% 73.72/10.61    :  ! [v2: C_ell2_c_ell2_cblinfun$] :  ! [v3:
% 73.72/10.61      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$] : (v1 = v0
% 73.72/10.61      |  ~ (tensor_op$w(v3, v2) = v1) |  ~ (tensor_op$w(v3, v2) = v0)) &  ! [v0:
% 73.72/10.61      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$]
% 73.72/10.61    :  ! [v2:
% 73.72/10.61      C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun$]
% 73.72/10.61    :  ! [v3:
% 73.72/10.61      C_b_complement_domain_c_prod_ell2_c_b_complement_domain_c_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (fun_app$au(v3, v2) = v1) |  ~ (fun_app$au(v3, v2) = v0)) &  !
% 73.72/10.61    [v0:
% 73.72/10.61      A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun$]
% 73.72/10.61    :  ! [v2: A_ell2_a_ell2_cblinfun$] :  ! [v3:
% 73.72/10.61      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] : (v1 = v0
% 73.72/10.61      |  ~ (tensor_op$v(v3, v2) = v1) |  ~ (tensor_op$v(v3, v2) = v0)) &  ! [v0:
% 73.72/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 73.72/10.61    :  ! [v2:
% 73.72/10.61      A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun$]
% 73.72/10.61    :  ! [v3:
% 73.72/10.61      A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (fun_app$at(v3, v2) = v1) |  ~ (fun_app$at(v3, v2) = v0)) &  !
% 73.72/10.61    [v0: C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  !
% 73.72/10.61    [v1: C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  !
% 73.72/10.61    [v2:
% 73.72/10.61      C_a_prod_ell2_c_a_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :
% 73.72/10.61    (v1 = v0 |  ~ (comp$cw(v3, v2) = v1) |  ~ (comp$cw(v3, v2) = v0)) &  ! [v0:
% 73.72/10.61      C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v2:
% 73.72/10.61      C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3:
% 73.72/10.61      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (comp$cv(v3, v2) = v1) |  ~ (comp$cv(v3, v2) = v0)) &  ! [v0:
% 73.72/10.61      A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v2:
% 73.72/10.61      A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3:
% 73.72/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (comp$cu(v3, v2) = v1) |  ~ (comp$cu(v3, v2) = v0)) &  ! [v0:
% 73.72/10.61      A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v2:
% 73.72/10.61      A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3:
% 73.72/10.61      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (comp$ct(v3, v2) = v1) |  ~ (comp$ct(v3, v2) = v0)) &  ! [v0:
% 73.72/10.61      A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v2:
% 73.72/10.61      A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3:
% 73.72/10.61      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (comp$cs(v3, v2) = v1) |  ~ (comp$cs(v3, v2) = v0)) &  ! [v0:
% 73.72/10.61      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 73.72/10.61      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 73.72/10.61      A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3: C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :
% 73.72/10.61    (v1 = v0 |  ~ (comp$cr(v3, v2) = v1) |  ~ (comp$cr(v3, v2) = v0)) &  ! [v0:
% 73.72/10.61      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.72/10.61      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.72/10.61      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (compatible$bb(v3, v2) = v1) |  ~ (compatible$bb(v3, v2) =
% 73.72/10.61        v0)) &  ! [v0:
% 73.72/10.61      C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v2: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.72/10.61      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (register_pair$bf(v3, v2) = v1) |  ~ (register_pair$bf(v3, v2)
% 73.72/10.61        = v0)) &  ! [v0:
% 73.72/10.61      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v2:
% 73.72/10.61      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3:
% 73.72/10.61      C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (comp$cq(v3, v2) = v1) |  ~ (comp$cq(v3, v2) = v0)) &  ! [v0:
% 73.72/10.61      A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v2: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.72/10.61      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (register_pair$be(v3, v2) = v1) |  ~ (register_pair$be(v3, v2)
% 73.72/10.61        = v0)) &  ! [v0:
% 73.72/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v2:
% 73.72/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3:
% 73.72/10.61      A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (comp$cp(v3, v2) = v1) |  ~ (comp$cp(v3, v2) = v0)) &  ! [v0:
% 73.72/10.61      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.72/10.61      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.72/10.61      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (compatible$ba(v3, v2) = v1) |  ~ (compatible$ba(v3, v2) =
% 73.72/10.61        v0)) &  ! [v0:
% 73.72/10.61      A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v2: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.72/10.61      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (register_pair$bd(v3, v2) = v1) |  ~ (register_pair$bd(v3, v2)
% 73.72/10.61        = v0)) &  ! [v0:
% 73.72/10.61      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v2:
% 73.72/10.61      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3:
% 73.72/10.61      A_c_prod_b_complement_domain_a_prod_ell2_a_c_prod_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (comp$co(v3, v2) = v1) |  ~ (comp$co(v3, v2) = v0)) &  ! [v0:
% 73.72/10.61      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v2:
% 73.72/10.61      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3:
% 73.72/10.61      A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (comp$cn(v3, v2) = v1) |  ~ (comp$cn(v3, v2) = v0)) &  ! [v0:
% 73.72/10.61      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v2:
% 73.72/10.61      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.72/10.61      (register_pair$bc(v3, v2) = v1) |  ~ (register_pair$bc(v3, v2) = v0)) &  !
% 73.72/10.61    [v0: A_ell2_a_ell2_cblinfun$] :  ! [v1: A_ell2_a_ell2_cblinfun$] :  ! [v2:
% 73.72/10.61      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.72/10.61    :  ! [v3:
% 73.72/10.61      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (fun_app$as(v3, v2) = v1) |  ~ (fun_app$as(v3, v2) = v0)) &  !
% 73.72/10.61    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.72/10.61      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.72/10.61      (complements$ai(v3, v2) = v1) |  ~ (complements$ai(v3, v2) = v0)) &  ! [v0:
% 73.72/10.61      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun$]
% 73.72/10.61    :  ! [v2:
% 73.72/10.61      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun$]
% 73.72/10.61    :  ! [v3: A_ell2_a_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$u(v3, v2) = v1)
% 73.72/10.61      |  ~ (tensor_op$u(v3, v2) = v0)) &  ! [v0: B_ell2_b_ell2_cblinfun$] :  !
% 73.72/10.61    [v1: B_ell2_b_ell2_cblinfun$] :  ! [v2:
% 73.72/10.61      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun$]
% 73.72/10.61    :  ! [v3:
% 73.72/10.61      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (fun_app$ar(v3, v2) = v1) |  ~ (fun_app$ar(v3, v2) = v0)) &  !
% 73.72/10.61    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.72/10.61      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3: C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.72/10.61      (complements$ah(v3, v2) = v1) |  ~ (complements$ah(v3, v2) = v0)) &  ! [v0:
% 73.72/10.61      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v2:
% 73.72/10.61      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3: C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.72/10.61      (register_pair$ba(v3, v2) = v1) |  ~ (register_pair$ba(v3, v2) = v0)) &  !
% 73.72/10.61    [v0: A_ell2_a_ell2_cblinfun$] :  ! [v1: A_ell2_a_ell2_cblinfun$] :  ! [v2:
% 73.72/10.61      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$]
% 73.72/10.61    :  ! [v3:
% 73.72/10.61      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (fun_app$aq(v3, v2) = v1) |  ~ (fun_app$aq(v3, v2) = v0)) &  !
% 73.72/10.61    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.72/10.61      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3: C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.72/10.61      (complements$ag(v3, v2) = v1) |  ~ (complements$ag(v3, v2) = v0)) &  ! [v0:
% 73.72/10.61      C_ell2_c_ell2_cblinfun$] :  ! [v1: C_ell2_c_ell2_cblinfun$] :  ! [v2:
% 73.72/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 73.72/10.61    :  ! [v3:
% 73.72/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (fun_app$ap(v3, v2) = v1) |  ~ (fun_app$ap(v3, v2) = v0)) &  !
% 73.72/10.61    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.72/10.61      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3: A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.72/10.61      (complements$af(v3, v2) = v1) |  ~ (complements$af(v3, v2) = v0)) &  ! [v0:
% 73.72/10.61      A_ell2_a_ell2_cblinfun$] :  ! [v1: A_ell2_a_ell2_cblinfun$] :  ! [v2:
% 73.72/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 73.72/10.61    :  ! [v3:
% 73.72/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (fun_app$ao(v3, v2) = v1) |  ~ (fun_app$ao(v3, v2) = v0)) &  !
% 73.72/10.61    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.72/10.61      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.72/10.61      (complements$ae(v3, v2) = v1) |  ~ (complements$ae(v3, v2) = v0)) &  ! [v0:
% 73.72/10.61      B_ell2_b_ell2_cblinfun$] :  ! [v1: B_ell2_b_ell2_cblinfun$] :  ! [v2:
% 73.72/10.61      A_c_prod_ell2_a_c_prod_ell2_cblinfun$] :  ! [v3:
% 73.72/10.61      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0
% 73.72/10.61      |  ~ (fun_app$an(v3, v2) = v1) |  ~ (fun_app$an(v3, v2) = v0)) &  ! [v0:
% 73.72/10.61      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v2:
% 73.72/10.61      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3:
% 73.72/10.61      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (comp$cm(v3, v2) = v1) |  ~ (comp$cm(v3, v2) = v0)) &  ! [v0:
% 73.72/10.61      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v2:
% 73.72/10.61      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3:
% 73.72/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (comp$cl(v3, v2) = v1) |  ~ (comp$cl(v3, v2) = v0)) &  ! [v0:
% 73.72/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v2:
% 73.72/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3:
% 73.72/10.61      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (comp$ck(v3, v2) = v1) |  ~ (comp$ck(v3, v2) = v0)) &  ! [v0:
% 73.72/10.61      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.72/10.61    :  ! [v2:
% 73.72/10.61      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.72/10.61    :  ! [v3:
% 73.72/10.61      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (fun_app$am(v3, v2) = v1) |  ~ (fun_app$am(v3, v2) = v0)) &  !
% 73.72/10.61    [v0:
% 73.72/10.61      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.72/10.61    :  ! [v2:
% 73.72/10.61      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.72/10.61    :  ! [v3:
% 73.72/10.61      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (fun_app$al(v3, v2) = v1) |  ~ (fun_app$al(v3, v2) = v0)) &  !
% 73.72/10.61    [v0:
% 73.72/10.61      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v2:
% 73.72/10.61      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.72/10.61      (register_tensor$bp(v3, v2) = v1) |  ~ (register_tensor$bp(v3, v2) = v0)) & 
% 73.72/10.61    ! [v0:
% 73.72/10.61      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v2:
% 73.72/10.61      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3:
% 73.72/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (comp$cj(v3, v2) = v1) |  ~ (comp$cj(v3, v2) = v0)) &  ! [v0:
% 73.72/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v2:
% 73.72/10.61      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.72/10.61      (register_tensor$bo(v3, v2) = v1) |  ~ (register_tensor$bo(v3, v2) = v0)) & 
% 73.72/10.61    ! [v0:
% 73.72/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v2:
% 73.72/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3:
% 73.72/10.61      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (comp$ch(v3, v2) = v1) |  ~ (comp$ch(v3, v2) = v0)) &  ! [v0:
% 73.72/10.61      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v2:
% 73.72/10.61      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3:
% 73.72/10.61      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (comp$ci(v3, v2) = v1) |  ~ (comp$ci(v3, v2) = v0)) &  ! [v0:
% 73.72/10.61      A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v2:
% 73.72/10.61      C_ell2_c_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3: A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.72/10.61      (register_tensor$bn(v3, v2) = v1) |  ~ (register_tensor$bn(v3, v2) = v0)) & 
% 73.72/10.61    ! [v0: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  !
% 73.72/10.61    [v1: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  !
% 73.72/10.61    [v2:
% 73.72/10.61      A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3:
% 73.72/10.61      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (comp$cf(v3, v2) = v1) |  ~ (comp$cf(v3, v2) = v0)) &  ! [v0:
% 73.72/10.61      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 73.72/10.61      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 73.72/10.61      C_ell2_c_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3:
% 73.72/10.61      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (comp$cg(v3, v2) = v1) |  ~ (comp$cg(v3, v2) = v0)) &  ! [v0:
% 73.72/10.61      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v2:
% 73.72/10.61      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.72/10.61      (register_tensor$bm(v3, v2) = v1) |  ~ (register_tensor$bm(v3, v2) = v0)) & 
% 73.72/10.61    ! [v0:
% 73.72/10.61      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v2:
% 73.72/10.61      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :
% 73.72/10.61    (v1 = v0 |  ~ (comp$ce(v3, v2) = v1) |  ~ (comp$ce(v3, v2) = v0)) &  ! [v0:
% 73.72/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v2:
% 73.72/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3:
% 73.72/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.72/10.61    : (v1 = v0 |  ~ (comp$cd(v3, v2) = v1) |  ~ (comp$cd(v3, v2) = v0)) &  ! [v0:
% 73.72/10.61      A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v1:
% 73.72/10.61      A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v2:
% 73.72/10.61      C_ell2_c_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.72/10.61      (register_tensor$bl(v3, v2) = v1) |  ~ (register_tensor$bl(v3, v2) = v0)) & 
% 73.72/10.61    ! [v0: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  !
% 73.72/10.61    [v1: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  !
% 73.72/10.61    [v2:
% 73.72/10.61      A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.72/10.61    :  ! [v3:
% 73.78/10.61      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.61    : (v1 = v0 |  ~ (comp$cb(v3, v2) = v1) |  ~ (comp$cb(v3, v2) = v0)) &  ! [v0:
% 73.78/10.61      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 73.78/10.61      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 73.78/10.61      C_ell2_c_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v3:
% 73.78/10.61      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.61    : (v1 = v0 |  ~ (comp$cc(v3, v2) = v1) |  ~ (comp$cc(v3, v2) = v0)) &  ! [v0:
% 73.78/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v1:
% 73.78/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v2:
% 73.78/10.61      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v3: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.61      (register_tensor$bk(v3, v2) = v1) |  ~ (register_tensor$bk(v3, v2) = v0)) & 
% 73.78/10.61    ! [v0:
% 73.78/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v1:
% 73.78/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v2:
% 73.78/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v3: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :
% 73.78/10.61    (v1 = v0 |  ~ (comp$ca(v3, v2) = v1) |  ~ (comp$ca(v3, v2) = v0)) &  ! [v0:
% 73.78/10.61      A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v1:
% 73.78/10.61      A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v2:
% 73.78/10.61      C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v3: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.61      (register_tensor$bj(v3, v2) = v1) |  ~ (register_tensor$bj(v3, v2) = v0)) & 
% 73.78/10.61    ! [v0: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  !
% 73.78/10.61    [v1: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  !
% 73.78/10.61    [v2:
% 73.78/10.61      A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v3:
% 73.78/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.61    : (v1 = v0 |  ~ (comp$bz(v3, v2) = v1) |  ~ (comp$bz(v3, v2) = v0)) &  ! [v0:
% 73.78/10.61      A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v1:
% 73.78/10.61      A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v2: C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.61      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.61      (register_tensor$bi(v3, v2) = v1) |  ~ (register_tensor$bi(v3, v2) = v0)) & 
% 73.78/10.61    ! [v0: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  !
% 73.78/10.61    [v1: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  !
% 73.78/10.61    [v2:
% 73.78/10.61      A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_c_prod_ell2_a_c_prod_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v3: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :
% 73.78/10.61    (v1 = v0 |  ~ (comp$by(v3, v2) = v1) |  ~ (comp$by(v3, v2) = v0)) &  ! [v0:
% 73.78/10.61      B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 73.78/10.61      B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 73.78/10.61      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.61      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.61      (register_pair$az(v3, v2) = v1) |  ~ (register_pair$az(v3, v2) = v0)) &  !
% 73.78/10.61    [v0: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  !
% 73.78/10.61    [v1: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  !
% 73.78/10.61    [v2:
% 73.78/10.61      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v3: B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :
% 73.78/10.61    (v1 = v0 |  ~ (comp$bx(v3, v2) = v1) |  ~ (comp$bx(v3, v2) = v0)) &  ! [v0:
% 73.78/10.61      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.61      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.61      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.61      (compatible$az(v3, v2) = v1) |  ~ (compatible$az(v3, v2) = v0)) &  ! [v0:
% 73.78/10.61      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v1:
% 73.78/10.61      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v2:
% 73.78/10.61      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v3: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.61      (register_tensor$bh(v3, v2) = v1) |  ~ (register_tensor$bh(v3, v2) = v0)) & 
% 73.78/10.61    ! [v0:
% 73.78/10.61      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v1:
% 73.78/10.61      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v2:
% 73.78/10.61      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v3:
% 73.78/10.61      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.61    : (v1 = v0 |  ~ (comp$bw(v3, v2) = v1) |  ~ (comp$bw(v3, v2) = v0)) &  ! [v0:
% 73.78/10.61      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v1:
% 73.78/10.61      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v2:
% 73.78/10.61      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v3:
% 73.78/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.61    : (v1 = v0 |  ~ (comp$bu(v3, v2) = v1) |  ~ (comp$bu(v3, v2) = v0)) &  ! [v0:
% 73.78/10.61      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v1:
% 73.78/10.61      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v2:
% 73.78/10.61      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.61      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.61      (comp$bv(v3, v2) = v1) |  ~ (comp$bv(v3, v2) = v0)) &  ! [v0:
% 73.78/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v1:
% 73.78/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v2:
% 73.78/10.61      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.61      (register_tensor$bf(v3, v2) = v1) |  ~ (register_tensor$bf(v3, v2) = v0)) & 
% 73.78/10.61    ! [v0:
% 73.78/10.61      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v1:
% 73.78/10.61      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v2:
% 73.78/10.61      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v3:
% 73.78/10.61      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.61    : (v1 = v0 |  ~ (comp$bt(v3, v2) = v1) |  ~ (comp$bt(v3, v2) = v0)) &  ! [v0:
% 73.78/10.61      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v1:
% 73.78/10.61      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v2:
% 73.78/10.61      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.61      (register_tensor$bg(v3, v2) = v1) |  ~ (register_tensor$bg(v3, v2) = v0)) & 
% 73.78/10.61    ! [v0:
% 73.78/10.61      B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.61    :  ! [v1:
% 73.78/10.62      B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3: B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.62      (register_tensor$bd(v3, v2) = v1) |  ~ (register_tensor$bd(v3, v2) = v0)) & 
% 73.78/10.62    ! [v0:
% 73.78/10.62      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.62      (register_tensor$be(v3, v2) = v1) |  ~ (register_tensor$be(v3, v2) = v0)) & 
% 73.78/10.62    ! [v0:
% 73.78/10.62      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (comp$bs(v3, v2) = v1) |  ~ (comp$bs(v3, v2) = v0)) &  ! [v0:
% 73.78/10.62      B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3: B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.62      (register_tensor$bc(v3, v2) = v1) |  ~ (register_tensor$bc(v3, v2) = v0)) & 
% 73.78/10.62    ! [v0:
% 73.78/10.62      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (comp$bq(v3, v2) = v1) |  ~ (comp$bq(v3, v2) = v0)) &  ! [v0:
% 73.78/10.62      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v1:
% 73.78/10.62      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v2:
% 73.78/10.62      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.62      B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.62      (comp$br(v3, v2) = v1) |  ~ (comp$br(v3, v2) = v0)) &  ! [v0:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (comp$bp(v3, v2) = v1) |  ~ (comp$bp(v3, v2) = v0)) &  ! [v0:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (register_tensor$bb(v3, v2) = v1) |  ~ (register_tensor$bb(v3,
% 73.78/10.62          v2) = v0)) &  ! [v0:
% 73.78/10.62      A_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      A_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (register_tensor$ay(v3, v2) = v1) |  ~ (register_tensor$ay(v3,
% 73.78/10.62          v2) = v0)) &  ! [v0:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (register_tensor$az(v3, v2) = v1) |  ~ (register_tensor$az(v3,
% 73.78/10.62          v2) = v0)) &  ! [v0:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      A_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (comp$bo(v3, v2) = v1) |  ~ (comp$bo(v3, v2) = v0)) &  ! [v0:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_b_prod_ell2_c_a_c_prod_b_complement_domain_prod_b_prod_ell2_cblinfun_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_b_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (register_tensor$ba(v3, v2) = v1) |  ~ (register_tensor$ba(v3,
% 73.78/10.62          v2) = v0)) &  ! [v0:
% 73.78/10.62      A_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      A_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (register_tensor$av(v3, v2) = v1) |  ~ (register_tensor$av(v3,
% 73.78/10.62          v2) = v0)) &  ! [v0:
% 73.78/10.62      B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (register_tensor$aw(v3, v2) = v1) |  ~ (register_tensor$aw(v3,
% 73.78/10.62          v2) = v0)) &  ! [v0:
% 73.78/10.62      B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      A_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (comp$bn(v3, v2) = v1) |  ~ (comp$bn(v3, v2) = v0)) &  ! [v0:
% 73.78/10.62      B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      B_c_a_c_prod_b_complement_domain_prod_prod_ell2_b_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (register_tensor$ax(v3, v2) = v1) |  ~ (register_tensor$ax(v3,
% 73.78/10.62          v2) = v0)) &  ! [v0:
% 73.78/10.62      A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (register_tensor$at(v3, v2) = v1) |  ~ (register_tensor$at(v3,
% 73.78/10.62          v2) = v0)) &  ! [v0:
% 73.78/10.62      B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (comp$bm(v3, v2) = v1) |  ~ (comp$bm(v3, v2) = v0)) &  ! [v0:
% 73.78/10.62      B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (register_tensor$au(v3, v2) = v1) |  ~ (register_tensor$au(v3,
% 73.78/10.62          v2) = v0)) &  ! [v0:
% 73.78/10.62      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (comp$bk(v3, v2) = v1) |  ~ (comp$bk(v3, v2) = v0)) &  ! [v0:
% 73.78/10.62      B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (comp$bl(v3, v2) = v1) |  ~ (comp$bl(v3, v2) = v0)) &  ! [v0:
% 73.78/10.62      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (comp$bi(v3, v2) = v1) |  ~ (comp$bi(v3, v2) = v0)) &  ! [v0:
% 73.78/10.62      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (comp$bj(v3, v2) = v1) |  ~ (comp$bj(v3, v2) = v0)) &  ! [v0:
% 73.78/10.62      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2: B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.62      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (comp$bh(v3, v2) = v1) |  ~ (comp$bh(v3, v2) = v0)) &  ! [v0:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (comp$bg(v3, v2) = v1) |  ~ (comp$bg(v3, v2) = v0)) &  ! [v0:
% 73.78/10.62      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.62      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (compatible$ay(v3, v2) = v1) |  ~ (compatible$ay(v3, v2) =
% 73.78/10.62        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.62      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.62      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.62      (compatible$ax(v3, v2) = v1) |  ~ (compatible$ax(v3, v2) = v0)) &  ! [v0:
% 73.78/10.62      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.62      C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (compatible$aw(v3, v2) = v1) |  ~ (compatible$aw(v3, v2) =
% 73.78/10.62        v0)) &  ! [v0:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (register_tensor$as(v3, v2) = v1) |  ~ (register_tensor$as(v3,
% 73.78/10.62          v2) = v0)) &  ! [v0:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (register_tensor$ar(v3, v2) = v1) |  ~ (register_tensor$ar(v3,
% 73.78/10.62          v2) = v0)) &  ! [v0:
% 73.78/10.62      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.62      (register_tensor$aq(v3, v2) = v1) |  ~ (register_tensor$aq(v3, v2) = v0)) & 
% 73.78/10.62    ! [v0:
% 73.78/10.62      A_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      A_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (register_tensor$ap(v3, v2) = v1) |  ~ (register_tensor$ap(v3,
% 73.78/10.62          v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 73.78/10.62    ! [v2:
% 73.78/10.62      A_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_a_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (complements$ad(v3, v2) = v1) |  ~ (complements$ad(v3, v2) =
% 73.78/10.62        v0)) &  ! [v0:
% 73.78/10.62      A_c_prod_a_c_prod_prod_ell2_a_c_prod_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      A_c_prod_a_c_prod_prod_ell2_a_c_prod_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : 
% 73.78/10.62    ! [v3: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1
% 73.78/10.62      = v0 |  ~ (register_tensor$an(v3, v2) = v1) |  ~ (register_tensor$an(v3, v2)
% 73.78/10.62        = v0)) &  ! [v0:
% 73.78/10.62      A_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      A_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (register_tensor$ao(v3, v2) = v1) |  ~ (register_tensor$ao(v3,
% 73.78/10.62          v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 73.78/10.62    ! [v2:
% 73.78/10.62      A_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      A_c_prod_a_c_prod_prod_ell2_a_c_prod_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (complements$ac(v3, v2) = v1) |  ~ (complements$ac(v3, v2) =
% 73.78/10.62        v0)) &  ! [v0:
% 73.78/10.62      C_a_c_prod_prod_ell2_c_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      C_a_c_prod_prod_ell2_c_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : 
% 73.78/10.62    ! [v3: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.62      (register_tensor$al(v3, v2) = v1) |  ~ (register_tensor$al(v3, v2) = v0)) & 
% 73.78/10.62    ! [v0:
% 73.78/10.62      C_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_c_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      C_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_c_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (register_tensor$am(v3, v2) = v1) |  ~ (register_tensor$am(v3,
% 73.78/10.62          v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 73.78/10.62    ! [v2:
% 73.78/10.62      C_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_c_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      C_a_c_prod_prod_ell2_c_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (complements$ab(v3, v2) = v1) |  ~ (complements$ab(v3, v2) =
% 73.78/10.62        v0)) &  ! [v0:
% 73.78/10.62      A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : 
% 73.78/10.62    ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.62      (register_tensor$aj(v3, v2) = v1) |  ~ (register_tensor$aj(v3, v2) = v0)) & 
% 73.78/10.62    ! [v0:
% 73.78/10.62      A_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      A_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (register_tensor$ak(v3, v2) = v1) |  ~ (register_tensor$ak(v3,
% 73.78/10.62          v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 73.78/10.62    ! [v2:
% 73.78/10.62      A_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (complements$aa(v3, v2) = v1) |  ~ (complements$aa(v3, v2) =
% 73.78/10.62        v0)) &  ! [v0:
% 73.78/10.62      A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.62      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0
% 73.78/10.62      |  ~ (register_tensor$ah(v3, v2) = v1) |  ~ (register_tensor$ah(v3, v2) =
% 73.78/10.62        v0)) &  ! [v0:
% 73.78/10.62      A_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      A_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (register_tensor$ai(v3, v2) = v1) |  ~ (register_tensor$ai(v3,
% 73.78/10.62          v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 73.78/10.62    ! [v2:
% 73.78/10.62      A_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (complements$z(v3, v2) = v1) |  ~ (complements$z(v3, v2) =
% 73.78/10.62        v0)) &  ! [v0:
% 73.78/10.62      A_c_prod_a_prod_ell2_a_c_prod_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      A_c_prod_a_prod_ell2_a_c_prod_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.62      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0
% 73.78/10.62      |  ~ (register_tensor$af(v3, v2) = v1) |  ~ (register_tensor$af(v3, v2) =
% 73.78/10.62        v0)) &  ! [v0:
% 73.78/10.62      A_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      A_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (register_tensor$ag(v3, v2) = v1) |  ~ (register_tensor$ag(v3,
% 73.78/10.62          v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 73.78/10.62    ! [v2:
% 73.78/10.62      A_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      A_c_prod_a_prod_ell2_a_c_prod_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (complements$y(v3, v2) = v1) |  ~ (complements$y(v3, v2) =
% 73.78/10.62        v0)) &  ! [v0:
% 73.78/10.62      C_b_complement_domain_c_b_complement_domain_prod_ell2_c_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      C_b_complement_domain_c_b_complement_domain_prod_ell2_c_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (register_tensor$ae(v3, v2) = v1) |  ~ (register_tensor$ae(v3,
% 73.78/10.62          v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 73.78/10.62    ! [v2:
% 73.78/10.62      C_b_complement_domain_c_b_complement_domain_prod_ell2_c_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (complements$x(v3, v2) = v1) |  ~ (complements$x(v3, v2) =
% 73.78/10.62        v0)) &  ! [v0:
% 73.78/10.62      C_b_complement_domain_a_b_complement_domain_prod_ell2_c_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      C_b_complement_domain_a_b_complement_domain_prod_ell2_c_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (register_tensor$ad(v3, v2) = v1) |  ~ (register_tensor$ad(v3,
% 73.78/10.62          v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 73.78/10.62    ! [v2:
% 73.78/10.62      C_b_complement_domain_a_b_complement_domain_prod_ell2_c_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (complements$w(v3, v2) = v1) |  ~ (complements$w(v3, v2) =
% 73.78/10.62        v0)) &  ! [v0:
% 73.78/10.62      A_b_complement_domain_c_b_complement_domain_prod_ell2_a_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      A_b_complement_domain_c_b_complement_domain_prod_ell2_a_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (register_tensor$ac(v3, v2) = v1) |  ~ (register_tensor$ac(v3,
% 73.78/10.62          v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 73.78/10.62    ! [v2:
% 73.78/10.62      A_b_complement_domain_c_b_complement_domain_prod_ell2_a_b_complement_domain_c_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (complements$v(v3, v2) = v1) |  ~ (complements$v(v3, v2) =
% 73.78/10.62        v0)) &  ! [v0:
% 73.78/10.62      A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (register_tensor$ab(v3, v2) = v1) |  ~ (register_tensor$ab(v3,
% 73.78/10.62          v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 73.78/10.62    ! [v2:
% 73.78/10.62      A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (complements$u(v3, v2) = v1) |  ~ (complements$u(v3, v2) =
% 73.78/10.62        v0)) &  ! [v0:
% 73.78/10.62      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.78/10.62    : (v1 = v0 |  ~ (inv_into$af(v3, v2) = v1) |  ~ (inv_into$af(v3, v2) = v0)) & 
% 73.78/10.62    ! [v0:
% 73.78/10.62      C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2:
% 73.78/10.62      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v3:
% 73.78/10.62      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.78/10.62    : (v1 = v0 |  ~ (inv_into$ae(v3, v2) = v1) |  ~ (inv_into$ae(v3, v2) = v0)) & 
% 73.78/10.62    ! [v0:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$]
% 73.78/10.62    :  ! [v2: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.62    : (v1 = v0 |  ~ (register_tensor$aa(v3, v2) = v1) |  ~ (register_tensor$aa(v3,
% 73.78/10.62          v2) = v0)) &  ! [v0:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun$]
% 73.78/10.62    :  ! [v2: C_ell2_c_ell2_cblinfun$] :  ! [v3:
% 73.78/10.62      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.62    : (v1 = v0 |  ~ (tensor_op$s(v3, v2) = v1) |  ~ (tensor_op$s(v3, v2) = v0)) & 
% 73.78/10.62    ! [v0:
% 73.78/10.62      A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun$]
% 73.78/10.62    :  ! [v1:
% 73.78/10.63      A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v3:
% 73.78/10.63      C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    : (v1 = v0 |  ~ (fun_app$ak(v3, v2) = v1) |  ~ (fun_app$ak(v3, v2) = v0)) &  !
% 73.78/10.63    [v0:
% 73.78/10.63      A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      A_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v2: B_ell2_b_ell2_cblinfun$] :  ! [v3:
% 73.78/10.63      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] : (v1 = v0
% 73.78/10.63      |  ~ (tensor_op$t(v3, v2) = v1) |  ~ (tensor_op$t(v3, v2) = v0)) &  ! [v0:
% 73.78/10.63      C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v3: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.63      (register_tensor$z(v3, v2) = v1) |  ~ (register_tensor$z(v3, v2) = v0)) &  !
% 73.78/10.63    [v0:
% 73.78/10.63      C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v3: C_ell2_c_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$q(v3, v2) = v1)
% 73.78/10.63      |  ~ (tensor_op$q(v3, v2) = v0)) &  ! [v0:
% 73.78/10.63      B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v3:
% 73.78/10.63      C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.63    : (v1 = v0 |  ~ (fun_app$aj(v3, v2) = v1) |  ~ (fun_app$aj(v3, v2) = v0)) &  !
% 73.78/10.63    [v0:
% 73.78/10.63      B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      B_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v2: A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] : 
% 73.78/10.63    ! [v3: B_ell2_b_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$r(v3, v2) = v1) | 
% 73.78/10.63      ~ (tensor_op$r(v3, v2) = v0)) &  ! [v0: C_ell2_c_ell2_cblinfun$] :  ! [v1:
% 73.78/10.63      C_ell2_c_ell2_cblinfun$] :  ! [v2: C_ell2_c_ell2_cblinfun$] :  ! [v3:
% 73.78/10.63      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.63      (fun_app$ah(v3, v2) = v1) |  ~ (fun_app$ah(v3, v2) = v0)) &  ! [v0:
% 73.78/10.63      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$] :  ! [v1:
% 73.78/10.63      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$] :  ! [v2:
% 73.78/10.63      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$] :  ! [v3:
% 73.78/10.63      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.63    : (v1 = v0 |  ~ (fun_app$ai(v3, v2) = v1) |  ~ (fun_app$ai(v3, v2) = v0)) &  !
% 73.78/10.63    [v0:
% 73.78/10.63      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v3: C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.63      (register_tensor$y(v3, v2) = v1) |  ~ (register_tensor$y(v3, v2) = v0)) &  !
% 73.78/10.63    [v0: A_ell2_a_ell2_cblinfun$] :  ! [v1: A_ell2_a_ell2_cblinfun$] :  ! [v2:
% 73.78/10.63      C_ell2_c_ell2_cblinfun$] :  ! [v3:
% 73.78/10.63      C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.63      (fun_app$af(v3, v2) = v1) |  ~ (fun_app$af(v3, v2) = v0)) &  ! [v0:
% 73.78/10.63      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] :  ! [v1:
% 73.78/10.63      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] :  ! [v2:
% 73.78/10.63      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$] :  ! [v3:
% 73.78/10.63      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.63    : (v1 = v0 |  ~ (fun_app$ag(v3, v2) = v1) |  ~ (fun_app$ag(v3, v2) = v0)) &  !
% 73.78/10.63    [v0:
% 73.78/10.63      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v3: C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.63      (register_tensor$x(v3, v2) = v1) |  ~ (register_tensor$x(v3, v2) = v0)) &  !
% 73.78/10.63    [v0: C_ell2_c_ell2_cblinfun$] :  ! [v1: C_ell2_c_ell2_cblinfun$] :  ! [v2:
% 73.78/10.63      A_ell2_a_ell2_cblinfun$] :  ! [v3:
% 73.78/10.63      A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.63      (fun_app$ad(v3, v2) = v1) |  ~ (fun_app$ad(v3, v2) = v0)) &  ! [v0:
% 73.78/10.63      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$] :  ! [v1:
% 73.78/10.63      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$] :  ! [v2:
% 73.78/10.63      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] :  ! [v3:
% 73.78/10.63      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.63    : (v1 = v0 |  ~ (fun_app$ae(v3, v2) = v1) |  ~ (fun_app$ae(v3, v2) = v0)) &  !
% 73.78/10.63    [v0:
% 73.78/10.63      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v3: A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.63      (register_tensor$w(v3, v2) = v1) |  ~ (register_tensor$w(v3, v2) = v0)) &  !
% 73.78/10.63    [v0:
% 73.78/10.63      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v3: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.63      (register_tensor$v(v3, v2) = v1) |  ~ (register_tensor$v(v3, v2) = v0)) &  !
% 73.78/10.63    [v0:
% 73.78/10.63      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v3:
% 73.78/10.63      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.63    : (v1 = v0 |  ~ (fun_app$aa(v3, v2) = v1) |  ~ (fun_app$aa(v3, v2) = v0)) &  !
% 73.78/10.63    [v0: A_ell2_a_ell2_cblinfun$] :  ! [v1: A_ell2_a_ell2_cblinfun$] :  ! [v2:
% 73.78/10.63      A_ell2_a_ell2_cblinfun$] :  ! [v3:
% 73.78/10.63      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.63      (fun_app$ab(v3, v2) = v1) |  ~ (fun_app$ab(v3, v2) = v0)) &  ! [v0:
% 73.78/10.63      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] :  ! [v1:
% 73.78/10.63      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] :  ! [v2:
% 73.78/10.63      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] :  ! [v3:
% 73.78/10.63      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.63    : (v1 = v0 |  ~ (fun_app$ac(v3, v2) = v1) |  ~ (fun_app$ac(v3, v2) = v0)) &  !
% 73.78/10.63    [v0:
% 73.78/10.63      A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.63      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.63      (register_tensor$u(v3, v2) = v1) |  ~ (register_tensor$u(v3, v2) = v0)) &  !
% 73.78/10.63    [v0: A_a_prod_ell2_a_a_prod_ell2_cblinfun$] :  ! [v1:
% 73.78/10.63      A_a_prod_ell2_a_a_prod_ell2_cblinfun$] :  ! [v2: A_ell2_a_ell2_cblinfun$] : 
% 73.78/10.63    ! [v3: A_ell2_a_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$p(v3, v2) = v1) | 
% 73.78/10.63      ~ (tensor_op$p(v3, v2) = v0)) &  ! [v0:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun$] :  ! [v1:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun$] :  ! [v2:
% 73.78/10.63      A_a_prod_ell2_a_a_prod_ell2_cblinfun$] :  ! [v3:
% 73.78/10.63      A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    : (v1 = v0 |  ~ (fun_app$z(v3, v2) = v1) |  ~ (fun_app$z(v3, v2) = v0)) &  !
% 73.78/10.63    [v0:
% 73.78/10.63      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.63      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.63      (register_tensor$t(v3, v2) = v1) |  ~ (register_tensor$t(v3, v2) = v0)) &  !
% 73.78/10.63    [v0: B_b_prod_ell2_b_b_prod_ell2_cblinfun$] :  ! [v1:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun$] :  ! [v2:
% 73.78/10.63      A_c_prod_ell2_a_c_prod_ell2_cblinfun$] :  ! [v3:
% 73.78/10.63      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    : (v1 = v0 |  ~ (fun_app$y(v3, v2) = v1) |  ~ (fun_app$y(v3, v2) = v0)) &  !
% 73.78/10.63    [v0:
% 73.78/10.63      C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.63      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.63      (register_tensor$s(v3, v2) = v1) |  ~ (register_tensor$s(v3, v2) = v0)) &  !
% 73.78/10.63    [v0: C_a_prod_ell2_c_a_prod_ell2_cblinfun$] :  ! [v1:
% 73.78/10.63      C_a_prod_ell2_c_a_prod_ell2_cblinfun$] :  ! [v2: A_ell2_a_ell2_cblinfun$] : 
% 73.78/10.63    ! [v3: C_ell2_c_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$o(v3, v2) = v1) | 
% 73.78/10.63      ~ (tensor_op$o(v3, v2) = v0)) &  ! [v0:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun$] :  ! [v1:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun$] :  ! [v2:
% 73.78/10.63      C_a_prod_ell2_c_a_prod_ell2_cblinfun$] :  ! [v3:
% 73.78/10.63      C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    : (v1 = v0 |  ~ (fun_app$w(v3, v2) = v1) |  ~ (fun_app$w(v3, v2) = v0)) &  !
% 73.78/10.63    [v0: B_ell2_b_ell2_cblinfun$] :  ! [v1: B_ell2_b_ell2_cblinfun$] :  ! [v2:
% 73.78/10.63      A_ell2_a_ell2_cblinfun$] :  ! [v3:
% 73.78/10.63      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.63      (fun_app$x(v3, v2) = v1) |  ~ (fun_app$x(v3, v2) = v0)) &  ! [v0:
% 73.78/10.63      C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.63      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.63      (register_tensor$r(v3, v2) = v1) |  ~ (register_tensor$r(v3, v2) = v0)) &  !
% 73.78/10.63    [v0: C_c_prod_ell2_c_c_prod_ell2_cblinfun$] :  ! [v1:
% 73.78/10.63      C_c_prod_ell2_c_c_prod_ell2_cblinfun$] :  ! [v2: C_ell2_c_ell2_cblinfun$] : 
% 73.78/10.63    ! [v3: C_ell2_c_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$m(v3, v2) = v1) | 
% 73.78/10.63      ~ (tensor_op$m(v3, v2) = v0)) &  ! [v0:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun$] :  ! [v1:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun$] :  ! [v2:
% 73.78/10.63      C_c_prod_ell2_c_c_prod_ell2_cblinfun$] :  ! [v3:
% 73.78/10.63      C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    : (v1 = v0 |  ~ (fun_app$u(v3, v2) = v1) |  ~ (fun_app$u(v3, v2) = v0)) &  !
% 73.78/10.63    [v0: B_ell2_b_ell2_cblinfun$] :  ! [v1: B_ell2_b_ell2_cblinfun$] :  ! [v2:
% 73.78/10.63      C_ell2_c_ell2_cblinfun$] :  ! [v3:
% 73.78/10.63      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.63      (fun_app$v(v3, v2) = v1) |  ~ (fun_app$v(v3, v2) = v0)) &  ! [v0:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun$] :  ! [v1:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun$] :  ! [v2: B_ell2_b_ell2_cblinfun$] : 
% 73.78/10.63    ! [v3: B_ell2_b_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$n(v3, v2) = v1) | 
% 73.78/10.63      ~ (tensor_op$n(v3, v2) = v0)) &  ! [v0:
% 73.78/10.63      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v3:
% 73.78/10.63      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    : (v1 = v0 |  ~ (fun_app$t(v3, v2) = v1) |  ~ (fun_app$t(v3, v2) = v0)) &  !
% 73.78/10.63    [v0: A_c_prod_ell2_a_c_prod_ell2_cblinfun$] :  ! [v1:
% 73.78/10.63      A_c_prod_ell2_a_c_prod_ell2_cblinfun$] :  ! [v2: C_ell2_c_ell2_cblinfun$] : 
% 73.78/10.63    ! [v3: A_ell2_a_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$l(v3, v2) = v1) | 
% 73.78/10.63      ~ (tensor_op$l(v3, v2) = v0)) &  ! [v0:
% 73.78/10.63      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun$]
% 73.78/10.63    :  ! [v3: C_ell2_c_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$k(v3, v2) = v1)
% 73.78/10.63      |  ~ (tensor_op$k(v3, v2) = v0)) &  ! [v0:
% 73.78/10.63      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v3: A_ell2_a_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$j(v3, v2) = v1)
% 73.78/10.63      |  ~ (tensor_op$j(v3, v2) = v0)) &  ! [v0:
% 73.78/10.63      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v3:
% 73.78/10.63      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.63    : (v1 = v0 |  ~ (fun_app$s(v3, v2) = v1) |  ~ (fun_app$s(v3, v2) = v0)) &  !
% 73.78/10.63    [v0: A_c_prod_ell2_a_c_prod_ell2_cblinfun$] :  ! [v1:
% 73.78/10.63      A_c_prod_ell2_a_c_prod_ell2_cblinfun$] :  ! [v2: A_c_prod_ell2$] :  ! [v3:
% 73.78/10.63      A_c_prod_ell2$] : (v1 = v0 |  ~ (butterfly$c(v3, v2) = v1) |  ~
% 73.78/10.63      (butterfly$c(v3, v2) = v0)) &  ! [v0:
% 73.78/10.63      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun$]
% 73.78/10.63    :  ! [v3: A_c_prod_ell2_a_c_prod_ell2_cblinfun$] : (v1 = v0 |  ~
% 73.78/10.63      (tensor_op$i(v3, v2) = v1) |  ~ (tensor_op$i(v3, v2) = v0)) &  ! [v0:
% 73.78/10.63      C_c_c_complement_domain_prod_ell2_c_c_c_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      C_c_c_complement_domain_prod_ell2_c_c_c_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v2: C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun$] : 
% 73.78/10.63    ! [v3: C_ell2_c_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$h(v3, v2) = v1) | 
% 73.78/10.63      ~ (tensor_op$h(v3, v2) = v0)) &  ! [v0:
% 73.78/10.63      C_c_a_complement_domain_prod_ell2_c_c_a_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      C_c_a_complement_domain_prod_ell2_c_c_a_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v2: C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun$] : 
% 73.78/10.63    ! [v3: C_ell2_c_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$g(v3, v2) = v1) | 
% 73.78/10.63      ~ (tensor_op$g(v3, v2) = v0)) &  ! [v0:
% 73.78/10.63      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v2: C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$] : 
% 73.78/10.63    ! [v3: C_ell2_c_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$f(v3, v2) = v1) | 
% 73.78/10.63      ~ (tensor_op$f(v3, v2) = v0)) &  ! [v0:
% 73.78/10.63      A_a_c_complement_domain_prod_ell2_a_a_c_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      A_a_c_complement_domain_prod_ell2_a_a_c_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v2: A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun$] : 
% 73.78/10.63    ! [v3: A_ell2_a_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$e(v3, v2) = v1) | 
% 73.78/10.63      ~ (tensor_op$e(v3, v2) = v0)) &  ! [v0:
% 73.78/10.63      A_a_a_complement_domain_prod_ell2_a_a_a_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      A_a_a_complement_domain_prod_ell2_a_a_a_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v2: A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun$] : 
% 73.78/10.63    ! [v3: A_ell2_a_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$d(v3, v2) = v1) | 
% 73.78/10.63      ~ (tensor_op$d(v3, v2) = v0)) &  ! [v0:
% 73.78/10.63      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v2: A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] : 
% 73.78/10.63    ! [v3: A_ell2_a_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$c(v3, v2) = v1) | 
% 73.78/10.63      ~ (tensor_op$c(v3, v2) = v0)) &  ! [v0: C_ell2_c_ell2_cblinfun$] :  ! [v1:
% 73.78/10.63      C_ell2_c_ell2_cblinfun$] :  ! [v2: C_ell2$] :  ! [v3: C_ell2$] : (v1 = v0 | 
% 73.78/10.63      ~ (butterfly$b(v3, v2) = v1) |  ~ (butterfly$b(v3, v2) = v0)) &  ! [v0:
% 73.78/10.63      B_b_c_complement_domain_prod_ell2_b_b_c_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      B_b_c_complement_domain_prod_ell2_b_b_c_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v2: B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun$] : 
% 73.78/10.63    ! [v3: B_ell2_b_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$b(v3, v2) = v1) | 
% 73.78/10.63      ~ (tensor_op$b(v3, v2) = v0)) &  ! [v0: A_ell2_a_ell2_cblinfun$] :  ! [v1:
% 73.78/10.63      A_ell2_a_ell2_cblinfun$] :  ! [v2: A_ell2$] :  ! [v3: A_ell2$] : (v1 = v0 | 
% 73.78/10.63      ~ (butterfly$a(v3, v2) = v1) |  ~ (butterfly$a(v3, v2) = v0)) &  ! [v0:
% 73.78/10.63      B_b_a_complement_domain_prod_ell2_b_b_a_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      B_b_a_complement_domain_prod_ell2_b_b_a_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v2: B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun$] : 
% 73.78/10.63    ! [v3: B_ell2_b_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$a(v3, v2) = v1) | 
% 73.78/10.63      ~ (tensor_op$a(v3, v2) = v0)) &  ! [v0:
% 73.78/10.63      B_b_b_complement_domain_prod_ell2_b_b_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      B_b_b_complement_domain_prod_ell2_b_b_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v2: B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun$] : 
% 73.78/10.63    ! [v3: B_ell2_b_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$(v3, v2) = v1) |  ~
% 73.78/10.63      (tensor_op$(v3, v2) = v0)) &  ! [v0:
% 73.78/10.63      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] :  ! [v1:
% 73.78/10.63      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] :  ! [v2:
% 73.78/10.63      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v3:
% 73.78/10.63      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.63    : (v1 = v0 |  ~ (fun_app$r(v3, v2) = v1) |  ~ (fun_app$r(v3, v2) = v0)) &  !
% 73.78/10.63    [v0: B_ell2_b_ell2_cblinfun$] :  ! [v1: B_ell2_b_ell2_cblinfun$] :  ! [v2:
% 73.78/10.63      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] :  ! [v3:
% 73.78/10.63      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.63    : (v1 = v0 |  ~ (fun_app$q(v3, v2) = v1) |  ~ (fun_app$q(v3, v2) = v0)) &  !
% 73.78/10.63    [v0: B_ell2_b_ell2_cblinfun$] :  ! [v1: B_ell2_b_ell2_cblinfun$] :  ! [v2:
% 73.78/10.63      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.63    :  ! [v3:
% 73.78/10.63      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.63    : (v1 = v0 |  ~ (fun_app$p(v3, v2) = v1) |  ~ (fun_app$p(v3, v2) = v0)) &  !
% 73.78/10.63    [v0:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v3:
% 73.78/10.63      B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    : (v1 = v0 |  ~ (register_tensor$q(v3, v2) = v1) |  ~ (register_tensor$q(v3,
% 73.78/10.63          v2) = v0)) &  ! [v0:
% 73.78/10.63      C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v3:
% 73.78/10.63      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.63    : (v1 = v0 |  ~ (register_tensor$p(v3, v2) = v1) |  ~ (register_tensor$p(v3,
% 73.78/10.63          v2) = v0)) &  ! [v0:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v3:
% 73.78/10.63      C_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.78/10.63    : (v1 = v0 |  ~ (inv_into$ad(v3, v2) = v1) |  ~ (inv_into$ad(v3, v2) = v0)) & 
% 73.78/10.63    ! [v0:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v3:
% 73.78/10.63      B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    : (v1 = v0 |  ~ (register_tensor$o(v3, v2) = v1) |  ~ (register_tensor$o(v3,
% 73.78/10.63          v2) = v0)) &  ! [v0:
% 73.78/10.63      C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v3:
% 73.78/10.63      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.63    : (v1 = v0 |  ~ (register_tensor$n(v3, v2) = v1) |  ~ (register_tensor$n(v3,
% 73.78/10.63          v2) = v0)) &  ! [v0:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v3:
% 73.78/10.63      C_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.78/10.63    : (v1 = v0 |  ~ (inv_into$ac(v3, v2) = v1) |  ~ (inv_into$ac(v3, v2) = v0)) & 
% 73.78/10.63    ! [v0:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v3:
% 73.78/10.63      B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.63    : (v1 = v0 |  ~ (register_tensor$m(v3, v2) = v1) |  ~ (register_tensor$m(v3,
% 73.78/10.63          v2) = v0)) &  ! [v0:
% 73.78/10.63      C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v3:
% 73.78/10.63      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.63    : (v1 = v0 |  ~ (register_tensor$l(v3, v2) = v1) |  ~ (register_tensor$l(v3,
% 73.78/10.63          v2) = v0)) &  ! [v0:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v3:
% 73.78/10.63      C_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set$]
% 73.78/10.63    : (v1 = v0 |  ~ (inv_into$ab(v3, v2) = v1) |  ~ (inv_into$ab(v3, v2) = v0)) & 
% 73.78/10.63    ! [v0:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v3:
% 73.78/10.63      B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.63    : (v1 = v0 |  ~ (register_tensor$k(v3, v2) = v1) |  ~ (register_tensor$k(v3,
% 73.78/10.63          v2) = v0)) &  ! [v0:
% 73.78/10.63      C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v3:
% 73.78/10.63      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.63    : (v1 = v0 |  ~ (register_tensor$j(v3, v2) = v1) |  ~ (register_tensor$j(v3,
% 73.78/10.63          v2) = v0)) &  ! [v0:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v3:
% 73.78/10.63      C_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_c_c_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_set$]
% 73.78/10.63    : (v1 = v0 |  ~ (inv_into$aa(v3, v2) = v1) |  ~ (inv_into$aa(v3, v2) = v0)) & 
% 73.78/10.63    ! [v0: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v1:
% 73.78/10.63      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v2:
% 73.78/10.63      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.63      A_ell2_a_ell2_cblinfun_set$] : (v1 = v0 |  ~ (inv_into$z(v3, v2) = v1) |  ~
% 73.78/10.63      (inv_into$z(v3, v2) = v0)) &  ! [v0:
% 73.78/10.63      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v3: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.63      (register_tensor$i(v3, v2) = v1) |  ~ (register_tensor$i(v3, v2) = v0)) &  !
% 73.78/10.63    [v0:
% 73.78/10.63      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v3: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.63      (register_tensor$h(v3, v2) = v1) |  ~ (register_tensor$h(v3, v2) = v0)) &  !
% 73.78/10.63    [v0:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v3:
% 73.78/10.63      B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.63    : (v1 = v0 |  ~ (register_tensor$g(v3, v2) = v1) |  ~ (register_tensor$g(v3,
% 73.78/10.63          v2) = v0)) &  ! [v0:
% 73.78/10.63      A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v3:
% 73.78/10.63      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.63    : (v1 = v0 |  ~ (register_tensor$f(v3, v2) = v1) |  ~ (register_tensor$f(v3,
% 73.78/10.63          v2) = v0)) &  ! [v0:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v3:
% 73.78/10.63      A_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.78/10.63    : (v1 = v0 |  ~ (inv_into$y(v3, v2) = v1) |  ~ (inv_into$y(v3, v2) = v0)) &  !
% 73.78/10.63    [v0:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v3:
% 73.78/10.63      B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.63    : (v1 = v0 |  ~ (register_tensor$e(v3, v2) = v1) |  ~ (register_tensor$e(v3,
% 73.78/10.63          v2) = v0)) &  ! [v0:
% 73.78/10.63      A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v3:
% 73.78/10.63      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.63    : (v1 = v0 |  ~ (register_tensor$d(v3, v2) = v1) |  ~ (register_tensor$d(v3,
% 73.78/10.63          v2) = v0)) &  ! [v0:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v3:
% 73.78/10.63      A_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_a_a_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.78/10.63    : (v1 = v0 |  ~ (inv_into$x(v3, v2) = v1) |  ~ (inv_into$x(v3, v2) = v0)) &  !
% 73.78/10.63    [v0:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v1:
% 73.78/10.63      B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v2:
% 73.78/10.63      B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.63    :  ! [v3:
% 73.78/10.64      B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (register_tensor$c(v3, v2) = v1) |  ~ (register_tensor$c(v3,
% 73.78/10.64          v2) = v0)) &  ! [v0:
% 73.78/10.64      C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (register_tensor$b(v3, v2) = v1) |  ~ (register_tensor$b(v3,
% 73.78/10.64          v2) = v0)) &  ! [v0:
% 73.78/10.64      B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      C_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_a_a_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.78/10.64    : (v1 = v0 |  ~ (inv_into$w(v3, v2) = v1) |  ~ (inv_into$w(v3, v2) = v0)) &  !
% 73.78/10.64    [v0:
% 73.78/10.64      B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (register_tensor$a(v3, v2) = v1) |  ~ (register_tensor$a(v3,
% 73.78/10.64          v2) = v0)) &  ! [v0:
% 73.78/10.64      C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (register_tensor$(v3, v2) = v1) |  ~ (register_tensor$(v3, v2)
% 73.78/10.64        = v0)) &  ! [v0:
% 73.78/10.64      B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      B_b_prod_ell2_b_b_prod_ell2_cblinfun_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      C_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_c_c_b_complement_domain_prod_c_c_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.78/10.64    : (v1 = v0 |  ~ (inv_into$v(v3, v2) = v1) |  ~ (inv_into$v(v3, v2) = v0)) &  !
% 73.78/10.64    [v0:
% 73.78/10.64      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (comp$bf(v3, v2) = v1) |  ~ (comp$bf(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3: B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.64      (comp$be(v3, v2) = v1) |  ~ (comp$be(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (comp$bd(v3, v2) = v1) |  ~ (comp$bd(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (comp$bc(v3, v2) = v1) |  ~ (comp$bc(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_a_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (comp$bb(v3, v2) = v1) |  ~ (comp$bb(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (comp$ba(v3, v2) = v1) |  ~ (comp$ba(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_a_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (comp$az(v3, v2) = v1) |  ~ (comp$az(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (comp$ay(v3, v2) = v1) |  ~ (comp$ay(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (comp$ax(v3, v2) = v1) |  ~ (comp$ax(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (comp$aw(v3, v2) = v1) |  ~ (comp$aw(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (comp$av(v3, v2) = v1) |  ~ (comp$av(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (comp$au(v3, v2) = v1) |  ~ (comp$au(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_a_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (comp$at(v3, v2) = v1) |  ~ (comp$at(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (comp$as(v3, v2) = v1) |  ~ (comp$as(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (comp$ar(v3, v2) = v1) |  ~ (comp$ar(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (comp$aq(v3, v2) = v1) |  ~ (comp$aq(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (comp$ap(v3, v2) = v1) |  ~ (comp$ap(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_a_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (comp$ao(v3, v2) = v1) |  ~ (comp$ao(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :
% 73.78/10.64    (v1 = v0 |  ~ (equivalent_registers$bc(v3, v2) = v1) |  ~
% 73.78/10.64      (equivalent_registers$bc(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.64    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.64      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (equivalent_registers$bb(v3, v2) = v1) |  ~
% 73.78/10.64      (equivalent_registers$bb(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.64    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (equivalent_registers$ba(v3, v2) = v1) |  ~
% 73.78/10.64      (equivalent_registers$ba(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.64    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (equivalent_registers$az(v3, v2) = v1) |  ~
% 73.78/10.64      (equivalent_registers$az(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.64    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :
% 73.78/10.64    (v1 = v0 |  ~ (equivalent_registers$ay(v3, v2) = v1) |  ~
% 73.78/10.64      (equivalent_registers$ay(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.64    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.64      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (equivalent_registers$ax(v3, v2) = v1) |  ~
% 73.78/10.64      (equivalent_registers$ax(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.64    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :
% 73.78/10.64    (v1 = v0 |  ~ (equivalent_registers$aw(v3, v2) = v1) |  ~
% 73.78/10.64      (equivalent_registers$aw(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.64    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.64      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (equivalent_registers$av(v3, v2) = v1) |  ~
% 73.78/10.64      (equivalent_registers$av(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.64    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.64      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.64      (compatible$av(v3, v2) = v1) |  ~ (compatible$av(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (compatible$au(v3, v2) = v1) |  ~ (compatible$au(v3, v2) =
% 73.78/10.64        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (compatible$at(v3, v2) = v1) |  ~ (compatible$at(v3, v2) =
% 73.78/10.64        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (compatible$as(v3, v2) = v1) |  ~ (compatible$as(v3, v2) =
% 73.78/10.64        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (compatible$ar(v3, v2) = v1) |  ~ (compatible$ar(v3, v2) =
% 73.78/10.64        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.64      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.64      (compatible$aq(v3, v2) = v1) |  ~ (compatible$aq(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (fun_app$n(v3, v2) = v1) |  ~ (fun_app$n(v3, v2) = v0)) &  !
% 73.78/10.64    [v0:
% 73.78/10.64      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (fun_app$o(v3, v2) = v1) |  ~ (fun_app$o(v3, v2) = v0)) &  !
% 73.78/10.64    [v0:
% 73.78/10.64      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (fun_app$m(v3, v2) = v1) |  ~ (fun_app$m(v3, v2) = v0)) &  !
% 73.78/10.64    [v0: B_ell2_b_ell2_cblinfun$] :  ! [v1: B_ell2_b_ell2_cblinfun$] :  ! [v2:
% 73.78/10.64      B_ell2_b_ell2_cblinfun$] :  ! [v3:
% 73.78/10.64      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.64      (fun_app$l(v3, v2) = v1) |  ~ (fun_app$l(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.78/10.64    : (v1 = v0 |  ~ (inv_into$u(v3, v2) = v1) |  ~ (inv_into$u(v3, v2) = v0)) &  !
% 73.78/10.64    [v0:
% 73.78/10.64      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.78/10.64    : (v1 = v0 |  ~ (inv_into$t(v3, v2) = v1) |  ~ (inv_into$t(v3, v2) = v0)) &  !
% 73.78/10.64    [v0:
% 73.78/10.64      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.78/10.64    : (v1 = v0 |  ~ (inv_into$s(v3, v2) = v1) |  ~ (inv_into$s(v3, v2) = v0)) &  !
% 73.78/10.64    [v0:
% 73.78/10.64      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (comp$an(v3, v2) = v1) |  ~ (comp$an(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (comp$am(v3, v2) = v1) |  ~ (comp$am(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.64      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0
% 73.78/10.64      |  ~ (compatible$ap(v3, v2) = v1) |  ~ (compatible$ap(v3, v2) = v0)) &  !
% 73.78/10.64    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.64      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (compatible$ao(v3, v2) = v1) |  ~ (compatible$ao(v3, v2) =
% 73.78/10.64        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.64      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (compatible$an(v3, v2) = v1) |  ~ (compatible$an(v3, v2) =
% 73.78/10.64        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.64      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (compatible$am(v3, v2) = v1) |  ~ (compatible$am(v3, v2) =
% 73.78/10.64        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.64      A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0
% 73.78/10.64      |  ~ (compatible$al(v3, v2) = v1) |  ~ (compatible$al(v3, v2) = v0)) &  !
% 73.78/10.64    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.64      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.64      (compatible$ak(v3, v2) = v1) |  ~ (compatible$ak(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.64      (compatible$aj(v3, v2) = v1) |  ~ (compatible$aj(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.64      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.64      (compatible$ai(v3, v2) = v1) |  ~ (compatible$ai(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.78/10.64    : (v1 = v0 |  ~ (inv_into$r(v3, v2) = v1) |  ~ (inv_into$r(v3, v2) = v0)) &  !
% 73.78/10.64    [v0:
% 73.78/10.64      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3: B_ell2_b_ell2_cblinfun_set$] : (v1 = v0 |  ~ (inv_into$q(v3, v2) =
% 73.78/10.64        v1) |  ~ (inv_into$q(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3: B_ell2_b_ell2_cblinfun_set$] : (v1 = v0 |  ~ (inv_into$p(v3, v2) =
% 73.78/10.64        v1) |  ~ (inv_into$p(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 73.78/10.64      MultipleValueBool] :  ! [v2:
% 73.78/10.64      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.78/10.64    : (v1 = v0 |  ~ (member$e(v3, v2) = v1) |  ~ (member$e(v3, v2) = v0)) &  !
% 73.78/10.64    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.78/10.64    : (v1 = v0 |  ~ (member$d(v3, v2) = v1) |  ~ (member$d(v3, v2) = v0)) &  !
% 73.78/10.64    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.64    : (v1 = v0 |  ~ (member$c(v3, v2) = v1) |  ~ (member$c(v3, v2) = v0)) &  !
% 73.78/10.64    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.64    : (v1 = v0 |  ~ (member$b(v3, v2) = v1) |  ~ (member$b(v3, v2) = v0)) &  !
% 73.78/10.64    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.64    : (v1 = v0 |  ~ (member$a(v3, v2) = v1) |  ~ (member$a(v3, v2) = v0)) &  !
% 73.78/10.64    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      B_ell2_b_ell2_cblinfun_set$] :  ! [v3: B_ell2_b_ell2_cblinfun$] : (v1 = v0 |
% 73.78/10.64       ~ (member$(v3, v2) = v1) |  ~ (member$(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      B_ell2_b_ell2_cblinfun$] :  ! [v1: B_ell2_b_ell2_cblinfun$] :  ! [v2:
% 73.78/10.64      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (fun_app$k(v3, v2) = v1) |  ~ (fun_app$k(v3, v2) = v0)) &  !
% 73.78/10.64    [v0: B_ell2_b_ell2_cblinfun$] :  ! [v1: B_ell2_b_ell2_cblinfun$] :  ! [v2:
% 73.78/10.64      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (fun_app$j(v3, v2) = v1) |  ~ (fun_app$j(v3, v2) = v0)) &  !
% 73.78/10.64    [v0:
% 73.78/10.64      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (fun_app$i(v3, v2) = v1) |  ~ (fun_app$i(v3, v2) = v0)) &  !
% 73.78/10.64    [v0:
% 73.78/10.64      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (fun_app$h(v3, v2) = v1) |  ~ (fun_app$h(v3, v2) = v0)) &  !
% 73.78/10.64    [v0: B_ell2_b_ell2_cblinfun$] :  ! [v1: B_ell2_b_ell2_cblinfun$] :  ! [v2:
% 73.78/10.64      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (fun_app$g(v3, v2) = v1) |  ~ (fun_app$g(v3, v2) = v0)) &  !
% 73.78/10.64    [v0:
% 73.78/10.64      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.64    :  ! [v2: B_ell2_b_ell2_cblinfun$] :  ! [v3:
% 73.78/10.64      B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (fun_app$f(v3, v2) = v1) |  ~ (fun_app$f(v3, v2) = v0)) &  !
% 73.78/10.64    [v0: B_ell2_b_ell2_cblinfun$] :  ! [v1: B_ell2_b_ell2_cblinfun$] :  ! [v2:
% 73.78/10.64      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (fun_app$e(v3, v2) = v1) |  ~ (fun_app$e(v3, v2) = v0)) &  !
% 73.78/10.64    [v0: B_ell2_b_ell2_cblinfun$] :  ! [v1: B_ell2_b_ell2_cblinfun$] :  ! [v2:
% 73.78/10.64      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (fun_app$d(v3, v2) = v1) |  ~ (fun_app$d(v3, v2) = v0)) &  !
% 73.78/10.64    [v0:
% 73.78/10.64      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.64    :  ! [v2: B_ell2_b_ell2_cblinfun$] :  ! [v3:
% 73.78/10.64      B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (fun_app$c(v3, v2) = v1) |  ~ (fun_app$c(v3, v2) = v0)) &  !
% 73.78/10.64    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (equivalent_registers$au(v3, v2) = v1) |  ~
% 73.78/10.64      (equivalent_registers$au(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 73.78/10.64      C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 73.78/10.64      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.64      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.64      (register_pair$ar(v3, v2) = v1) |  ~ (register_pair$ar(v3, v2) = v0)) &  !
% 73.78/10.64    [v0:
% 73.78/10.64      C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3: C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :
% 73.78/10.64    (v1 = v0 |  ~ (register_pair$aq(v3, v2) = v1) |  ~ (register_pair$aq(v3, v2) =
% 73.78/10.64        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      C_a_prod_a_c_prod_b_complement_domain_prod_ell2_c_a_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (equivalent_registers$at(v3, v2) = v1) |  ~
% 73.78/10.64      (equivalent_registers$at(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : 
% 73.78/10.64    ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.64      (register_pair$an(v3, v2) = v1) |  ~ (register_pair$an(v3, v2) = v0)) &  !
% 73.78/10.64    [v0: A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  !
% 73.78/10.64    [v1: A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  !
% 73.78/10.64    [v2: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.64      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.64      (register_pair$ap(v3, v2) = v1) |  ~ (register_pair$ap(v3, v2) = v0)) &  !
% 73.78/10.64    [v0:
% 73.78/10.64      A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.64      A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0
% 73.78/10.64      |  ~ (register_pair$ao(v3, v2) = v1) |  ~ (register_pair$ao(v3, v2) = v0)) &
% 73.78/10.64     ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      A_a_prod_c_prod_ell2_a_a_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_a_c_prod_prod_ell2_a_a_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (equivalent_registers$as(v3, v2) = v1) |  ~
% 73.78/10.64      (equivalent_registers$as(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.64    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.64      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.64      (compatible$ah(v3, v2) = v1) |  ~ (compatible$ah(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.64      (register_pair$al(v3, v2) = v1) |  ~ (register_pair$al(v3, v2) = v0)) &  !
% 73.78/10.64    [v0:
% 73.78/10.64      A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2:
% 73.78/10.64      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :
% 73.78/10.64    (v1 = v0 |  ~ (register_pair$am(v3, v2) = v1) |  ~ (register_pair$am(v3, v2) =
% 73.78/10.64        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      A_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_prod_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_a_c_a_a_c_prod_b_complement_domain_prod_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (equivalent_registers$ar(v3, v2) = v1) |  ~
% 73.78/10.64      (equivalent_registers$ar(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.64    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.64      (compatible$ag(v3, v2) = v1) |  ~ (compatible$ag(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 73.78/10.64      C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 73.78/10.64      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.64      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.64      (register_pair$aj(v3, v2) = v1) |  ~ (register_pair$aj(v3, v2) = v0)) &  !
% 73.78/10.64    [v0:
% 73.78/10.64      A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2: C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : 
% 73.78/10.64    ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.64      (register_pair$ai(v3, v2) = v1) |  ~ (register_pair$ai(v3, v2) = v0)) &  !
% 73.78/10.64    [v0:
% 73.78/10.64      A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v2: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.64      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0
% 73.78/10.64      |  ~ (register_pair$ak(v3, v2) = v1) |  ~ (register_pair$ak(v3, v2) = v0)) &
% 73.78/10.64     ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      A_c_prod_c_prod_ell2_a_c_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v3:
% 73.78/10.64      A_c_c_prod_prod_ell2_a_c_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    : (v1 = v0 |  ~ (equivalent_registers$aq(v3, v2) = v1) |  ~
% 73.78/10.64      (equivalent_registers$aq(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.64    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.64      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.64      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.64      (compatible$af(v3, v2) = v1) |  ~ (compatible$af(v3, v2) = v0)) &  ! [v0:
% 73.78/10.64      C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.64    :  ! [v1:
% 73.78/10.64      C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register_pair$ag(v3, v2) = v1) |  ~ (register_pair$ag(v3, v2)
% 73.78/10.65        = v0)) &  ! [v0:
% 73.78/10.65      A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (register_pair$af(v3, v2) = v1) |  ~ (register_pair$af(v3, v2) = v0)) &  !
% 73.78/10.65    [v0:
% 73.78/10.65      A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register_pair$ah(v3, v2) = v1) |  ~ (register_pair$ah(v3, v2)
% 73.78/10.65        = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$ap(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$ap(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.65    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (compatible$ae(v3, v2) = v1) |  ~ (compatible$ae(v3, v2) =
% 73.78/10.65        v0)) &  ! [v0:
% 73.78/10.65      A_b_complement_domain_c_prod_ell2_a_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_b_complement_domain_c_prod_ell2_a_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register_pair$ad(v3, v2) = v1) |  ~ (register_pair$ad(v3, v2)
% 73.78/10.65        = v0)) &  ! [v0:
% 73.78/10.65      A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_b_complement_domain_c_prod_ell2_a_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (register_pair$ac(v3, v2) = v1) |  ~ (register_pair$ac(v3, v2) = v0)) &  !
% 73.78/10.65    [v0:
% 73.78/10.65      A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register_pair$ae(v3, v2) = v1) |  ~ (register_pair$ae(v3, v2)
% 73.78/10.65        = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_a_b_complement_domain_prod_c_prod_ell2_a_a_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_a_b_complement_domain_c_prod_prod_ell2_a_a_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$ao(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$ao(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.65    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (compatible$ad(v3, v2) = v1) |  ~ (compatible$ad(v3, v2) =
% 73.78/10.65        v0)) &  ! [v0:
% 73.78/10.65      A_c_prod_b_complement_domain_c_prod_ell2_a_c_prod_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_c_prod_b_complement_domain_c_prod_ell2_a_c_prod_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register_pair$aa(v3, v2) = v1) |  ~ (register_pair$aa(v3, v2)
% 73.78/10.65        = v0)) &  ! [v0:
% 73.78/10.65      A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_c_prod_b_complement_domain_c_prod_ell2_a_c_prod_b_complement_domain_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (register_pair$z(v3, v2) = v1) |  ~ (register_pair$z(v3, v2) = v0)) &  !
% 73.78/10.65    [v0:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register_pair$ab(v3, v2) = v1) |  ~ (register_pair$ab(v3, v2)
% 73.78/10.65        = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_c_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_a_c_prod_b_complement_domain_c_prod_prod_ell2_a_a_c_prod_b_complement_domain_c_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$an(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$an(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.65    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (compatible$ac(v3, v2) = v1) |  ~ (compatible$ac(v3, v2) =
% 73.78/10.65        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (compatible$ab(v3, v2) = v1) |  ~ (compatible$ab(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.78/10.65    :  ! [v2: B_ell2_b_ell2_cblinfun$] :  ! [v3:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (fun_app$b(v3, v2) = v1) |  ~ (fun_app$b(v3, v2) = v0)) &  !
% 73.78/10.65    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$am(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$am(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.65    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$al(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$al(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.65    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$ak(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$ak(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (comp$al(v3, v2) = v1) |  ~ (comp$al(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (comp$ak(v3, v2) = v1) |  ~ (comp$ak(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$aj(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$aj(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (comp$aj(v3, v2) = v1) |  ~ (comp$aj(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$ai(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$ai(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (comp$ai(v3, v2) = v1) |  ~ (comp$ai(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$ah(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$ah(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.65    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$ag(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$ag(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.65    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$af(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$af(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.65    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$ae(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$ae(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.78/10.65    : (v1 = v0 |  ~ (inv_into$o(v3, v2) = v1) |  ~ (inv_into$o(v3, v2) = v0)) &  !
% 73.78/10.65    [v0:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.78/10.65    : (v1 = v0 |  ~ (inv_into$n(v3, v2) = v1) |  ~ (inv_into$n(v3, v2) = v0)) &  !
% 73.78/10.65    [v0:
% 73.78/10.65      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: B_ell2_b_ell2_cblinfun_set$] : (v1 = v0 |  ~ (inv_into$m(v3, v2) =
% 73.78/10.65        v1) |  ~ (inv_into$m(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (comp$ah(v3, v2) = v1) |  ~ (comp$ah(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.78/10.65    : (v1 = v0 |  ~ (inv_into$k(v3, v2) = v1) |  ~ (inv_into$k(v3, v2) = v0)) &  !
% 73.78/10.65    [v0:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$]
% 73.78/10.65    : (v1 = v0 |  ~ (inv_into$l(v3, v2) = v1) |  ~ (inv_into$l(v3, v2) = v0)) &  !
% 73.78/10.65    [v0:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.78/10.65    : (v1 = v0 |  ~ (inv_into$j(v3, v2) = v1) |  ~ (inv_into$j(v3, v2) = v0)) &  !
% 73.78/10.65    [v0:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: B_ell2_b_ell2_cblinfun_set$] : (v1 = v0 |  ~ (inv_into$h(v3, v2) =
% 73.78/10.65        v1) |  ~ (inv_into$h(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$]
% 73.78/10.65    : (v1 = v0 |  ~ (inv_into$i(v3, v2) = v1) |  ~ (inv_into$i(v3, v2) = v0)) &  !
% 73.78/10.65    [v0:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (comp$ag(v3, v2) = v1) |  ~ (comp$ag(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: B_ell2_b_ell2_cblinfun_set$] : (v1 = v0 |  ~ (inv_into$g(v3, v2) =
% 73.78/10.65        v1) |  ~ (inv_into$g(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2: B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (comp$af(v3, v2) = v1) |  ~ (comp$af(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (comp$ae(v3, v2) = v1) |  ~ (comp$ae(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2: B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (comp$ad(v3, v2) = v1) |  ~ (comp$ad(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: B_ell2_b_ell2_cblinfun_set$] : (v1 = v0 |  ~ (inv_into$e(v3, v2) =
% 73.78/10.65        v1) |  ~ (inv_into$e(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.78/10.65    : (v1 = v0 |  ~ (inv_into$f(v3, v2) = v1) |  ~ (inv_into$f(v3, v2) = v0)) &  !
% 73.78/10.65    [v0: B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (comp$ac(v3, v2) = v1) |  ~ (comp$ac(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: B_ell2_b_ell2_cblinfun_set$] : (v1 = v0 |  ~ (inv_into$c(v3, v2) =
% 73.78/10.65        v1) |  ~ (inv_into$c(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.78/10.65    : (v1 = v0 |  ~ (inv_into$d(v3, v2) = v1) |  ~ (inv_into$d(v3, v2) = v0)) &  !
% 73.78/10.65    [v0: B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (comp$ab(v3, v2) = v1) |  ~ (comp$ab(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (comp$aa(v3, v2) = v1) |  ~ (comp$aa(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_set$] : (v1 = v0 |  ~ (inv_into$b(v3, v2) = v1) |  ~
% 73.78/10.65      (inv_into$b(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register_pair$y(v3, v2) = v1) |  ~ (register_pair$y(v3, v2) =
% 73.78/10.65        v0)) &  ! [v0:
% 73.78/10.65      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (register_pair$x(v3, v2) = v1) |  ~ (register_pair$x(v3, v2) = v0)) &  !
% 73.78/10.65    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$ad(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$ad(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.65    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (equivalent_registers$ac(v3, v2) = v1) |  ~ (equivalent_registers$ac(v3, v2)
% 73.78/10.65        = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$ab(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$ab(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.65    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (equivalent_registers$aa(v3, v2) = v1) |  ~ (equivalent_registers$aa(v3, v2)
% 73.78/10.65        = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$z(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$z(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.65    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (equivalent_registers$y(v3, v2) = v1) |  ~ (equivalent_registers$y(v3, v2) =
% 73.78/10.65        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$x(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$x(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.78/10.65    : (v1 = v0 |  ~ (inv_into$a(v3, v2) = v1) |  ~ (inv_into$a(v3, v2) = v0)) &  !
% 73.78/10.65    [v0:
% 73.78/10.65      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$]
% 73.78/10.65    :  ! [v2: B_ell2_b_ell2_cblinfun$] :  ! [v3:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (fun_app$a(v3, v2) = v1) |  ~ (fun_app$a(v3, v2) = v0)) &  !
% 73.78/10.65    [v0: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (comp$y(v3, v2) = v1) |  ~ (comp$y(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (comp$z(v3, v2) = v1) |  ~ (comp$z(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (comp$w(v3, v2) = v1) |  ~ (comp$w(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (comp$x(v3, v2) = v1) |  ~ (comp$x(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (comp$u(v3, v2) = v1) |  ~ (comp$u(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (compatible$aa(v3, v2) = v1) |  ~ (compatible$aa(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (register_pair$w(v3, v2) = v1) |  ~ (register_pair$w(v3, v2) = v0)) &  !
% 73.78/10.65    [v0:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (comp$v(v3, v2) = v1) |  ~ (comp$v(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (comp$s(v3, v2) = v1) |  ~ (comp$s(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (compatible$z(v3, v2) = v1) |  ~ (compatible$z(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (register_pair$v(v3, v2) = v1) |  ~ (register_pair$v(v3, v2) = v0)) &  !
% 73.78/10.65    [v0:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (comp$t(v3, v2) = v1) |  ~ (comp$t(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (comp$q(v3, v2) = v1) |  ~ (comp$q(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (comp$r(v3, v2) = v1) |  ~ (comp$r(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (comp$o(v3, v2) = v1) |  ~ (comp$o(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (compatible$y(v3, v2) = v1) |  ~ (compatible$y(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (register_pair$u(v3, v2) = v1) |  ~ (register_pair$u(v3, v2) = v0)) &  !
% 73.78/10.65    [v0:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (comp$p(v3, v2) = v1) |  ~ (comp$p(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (comp$m(v3, v2) = v1) |  ~ (comp$m(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (compatible$x(v3, v2) = v1) |  ~ (compatible$x(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (register_pair$t(v3, v2) = v1) |  ~ (register_pair$t(v3, v2) = v0)) &  !
% 73.78/10.65    [v0:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (comp$n(v3, v2) = v1) |  ~ (comp$n(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (comp$j(v3, v2) = v1) |  ~ (comp$j(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (comp$k(v3, v2) = v1) |  ~ (comp$k(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 73.78/10.65      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 73.78/10.65      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (comp$l(v3, v2) = v1) |  ~ (comp$l(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (comp$g(v3, v2) = v1) |  ~ (comp$g(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (comp$h(v3, v2) = v1) |  ~ (comp$h(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (compatible$w(v3, v2) = v1) |  ~ (compatible$w(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v1:
% 73.78/10.65      A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (register_pair$s(v3, v2) = v1) |  ~ (register_pair$s(v3, v2) = v0)) &  !
% 73.78/10.65    [v0: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  !
% 73.78/10.65    [v1: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  !
% 73.78/10.65    [v2: A_c_prod_ell2_a_c_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  !
% 73.78/10.65    [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (comp$i(v3, v2) = v1) |  ~ (comp$i(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (comp$d(v3, v2) = v1) |  ~ (comp$d(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (comp$e(v3, v2) = v1) |  ~ (comp$e(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (compatible$v(v3, v2) = v1) |  ~ (compatible$v(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v1:
% 73.78/10.65      A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (register_pair$r(v3, v2) = v1) |  ~ (register_pair$r(v3, v2) = v0)) &  !
% 73.78/10.65    [v0: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  !
% 73.78/10.65    [v1: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  !
% 73.78/10.65    [v2: A_c_prod_ell2_a_c_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  !
% 73.78/10.65    [v3: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (comp$f(v3, v2) = v1) |  ~ (comp$f(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$w(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$w(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.65    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$v(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$v(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.65    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (complements$t(v3, v2) = v1) |  ~ (complements$t(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (complements$s(v3, v2) = v1) |  ~ (complements$s(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (complements$r(v3, v2) = v1) |  ~ (complements$r(v3, v2) =
% 73.78/10.65        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (compatible$u(v3, v2) = v1) |  ~ (compatible$u(v3, v2) = v0))
% 73.78/10.65    &  ! [v0:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register_pair$q(v3, v2) = v1) |  ~ (register_pair$q(v3, v2) =
% 73.78/10.65        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (compatible$t(v3, v2) = v1) |  ~ (compatible$t(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (compatible$s(v3, v2) = v1) |  ~ (compatible$s(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (compatible$r(v3, v2) = v1) |  ~ (compatible$r(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (compatible$q(v3, v2) = v1) |  ~ (compatible$q(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (compatible$p(v3, v2) = v1) |  ~ (compatible$p(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (compatible$o(v3, v2) = v1) |  ~ (compatible$o(v3, v2) = v0))
% 73.78/10.65    &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (compatible$n(v3, v2) = v1) |  ~ (compatible$n(v3, v2) = v0))
% 73.78/10.65    &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (compatible$m(v3, v2) = v1) |  ~ (compatible$m(v3, v2) = v0))
% 73.78/10.65    &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (compatible$l(v3, v2) = v1) |  ~ (compatible$l(v3, v2) = v0))
% 73.78/10.65    &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$u(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$u(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.65    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (equivalent_registers$t(v3, v2) = v1) |  ~ (equivalent_registers$t(v3, v2) =
% 73.78/10.65        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$s(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$s(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.65    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (equivalent_registers$r(v3, v2) = v1) |  ~ (equivalent_registers$r(v3, v2) =
% 73.78/10.65        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$q(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$q(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.65    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (equivalent_registers$p(v3, v2) = v1) |  ~ (equivalent_registers$p(v3, v2) =
% 73.78/10.65        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$o(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$o(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.65    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (equivalent_registers$n(v3, v2) = v1) |  ~ (equivalent_registers$n(v3, v2) =
% 73.78/10.65        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$m(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$m(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.65    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (equivalent_registers$l(v3, v2) = v1) |  ~ (equivalent_registers$l(v3, v2) =
% 73.78/10.65        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$k(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$k(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.65    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (equivalent_registers$j(v3, v2) = v1) |  ~ (equivalent_registers$j(v3, v2) =
% 73.78/10.65        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$i(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$i(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.65    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0
% 73.78/10.65      |  ~ (equivalent_registers$h(v3, v2) = v1) |  ~ (equivalent_registers$h(v3,
% 73.78/10.65          v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 73.78/10.65    ! [v2:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$g(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$g(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.65    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0
% 73.78/10.65      |  ~ (equivalent_registers$f(v3, v2) = v1) |  ~ (equivalent_registers$f(v3,
% 73.78/10.65          v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 73.78/10.65    ! [v2:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$e(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$e(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.65    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0
% 73.78/10.65      |  ~ (equivalent_registers$d(v3, v2) = v1) |  ~ (equivalent_registers$d(v3,
% 73.78/10.65          v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 73.78/10.65    ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$c(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$c(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.65    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (complements$q(v3, v2) = v1) |  ~ (complements$q(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (complements$p(v3, v2) = v1) |  ~ (complements$p(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :
% 73.78/10.65    (v1 = v0 |  ~ (complements$o(v3, v2) = v1) |  ~ (complements$o(v3, v2) = v0))
% 73.78/10.65    &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (complements$n(v3, v2) = v1) |  ~ (complements$n(v3, v2) =
% 73.78/10.65        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (compatible$k(v3, v2) = v1) |  ~ (compatible$k(v3, v2) = v0))
% 73.78/10.65    &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (compatible$j(v3, v2) = v1) |  ~ (compatible$j(v3, v2) = v0))
% 73.78/10.65    &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (compatible$i(v3, v2) = v1) |  ~ (compatible$i(v3, v2) = v0))
% 73.78/10.65    &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (compatible$h(v3, v2) = v1) |  ~ (compatible$h(v3, v2) = v0))
% 73.78/10.65    &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (compatible$g(v3, v2) = v1) |  ~ (compatible$g(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :
% 73.78/10.65    (v1 = v0 |  ~ (compatible$f(v3, v2) = v1) |  ~ (compatible$f(v3, v2) = v0)) & 
% 73.78/10.65    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (compatible$e(v3, v2) = v1) |  ~ (compatible$e(v3, v2) = v0))
% 73.78/10.65    &  ! [v0:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (comp$c(v3, v2) = v1) |  ~ (comp$c(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register_pair$p(v3, v2) = v1) |  ~ (register_pair$p(v3, v2) =
% 73.78/10.65        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_a_b_complement_domain_b_complement_domain_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (complements$m(v3, v2) = v1) |  ~ (complements$m(v3, v2) =
% 73.78/10.65        v0)) &  ! [v0:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (comp$a(v3, v2) = v1) |  ~ (comp$a(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (comp$b(v3, v2) = v1) |  ~ (comp$b(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register_pair$o(v3, v2) = v1) |  ~ (register_pair$o(v3, v2) =
% 73.78/10.65        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_b_a_a_b_complement_domain_prod_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (complements$l(v3, v2) = v1) |  ~ (complements$l(v3, v2) =
% 73.78/10.65        v0)) &  ! [v0:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.78/10.65    : (v1 = v0 |  ~ (inv_into$(v3, v2) = v1) |  ~ (inv_into$(v3, v2) = v0)) &  !
% 73.78/10.65    [v0: B_ell2_b_ell2_cblinfun$] :  ! [v1: B_ell2_b_ell2_cblinfun$] :  ! [v2:
% 73.78/10.65      B_ell2$] :  ! [v3: B_ell2$] : (v1 = v0 |  ~ (butterfly$(v3, v2) = v1) |  ~
% 73.78/10.65      (butterfly$(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$]
% 73.78/10.65    :  ! [v2: B_ell2_b_ell2_cblinfun$] :  ! [v3:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (fun_app$(v3, v2) = v1) |  ~ (fun_app$(v3, v2) = v0)) &  !
% 73.78/10.65    [v0:
% 73.78/10.65      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :
% 73.78/10.65    (v1 = v0 |  ~ (register_pair$n(v3, v2) = v1) |  ~ (register_pair$n(v3, v2) =
% 73.78/10.65        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$b(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$b(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.65    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$a(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$a(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (comp$(v3, v2) = v1) |  ~ (comp$(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (equivalent_registers$(v3, v2) = v1) |  ~
% 73.78/10.65      (equivalent_registers$(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (register_pair$m(v3, v2) = v1) |  ~ (register_pair$m(v3, v2) = v0)) &  !
% 73.78/10.65    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (complements$k(v3, v2) = v1) |  ~ (complements$k(v3, v2) =
% 73.78/10.65        v0)) &  ! [v0:
% 73.78/10.65      A_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (register_pair$l(v3, v2) = v1) |  ~ (register_pair$l(v3, v2) = v0)) &  !
% 73.78/10.65    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (complements$j(v3, v2) = v1) |  ~ (complements$j(v3, v2) =
% 73.78/10.65        v0)) &  ! [v0:
% 73.78/10.65      A_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (register_pair$k(v3, v2) = v1) |  ~ (register_pair$k(v3, v2) = v0)) &  !
% 73.78/10.65    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (complements$i(v3, v2) = v1) |  ~ (complements$i(v3, v2) =
% 73.78/10.65        v0)) &  ! [v0:
% 73.78/10.65      C_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      C_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (register_pair$j(v3, v2) = v1) |  ~ (register_pair$j(v3, v2) = v0)) &  !
% 73.78/10.65    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (complements$h(v3, v2) = v1) |  ~ (complements$h(v3, v2) =
% 73.78/10.65        v0)) &  ! [v0:
% 73.78/10.65      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (register_pair$i(v3, v2) = v1) |  ~ (register_pair$i(v3, v2) = v0)) &  !
% 73.78/10.65    [v0:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register_pair$h(v3, v2) = v1) |  ~ (register_pair$h(v3, v2) =
% 73.78/10.65        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (complements$g(v3, v2) = v1) |  ~ (complements$g(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (compatible$d(v3, v2) = v1) |  ~ (compatible$d(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (register_pair$g(v3, v2) = v1) |  ~ (register_pair$g(v3, v2) = v0)) &  !
% 73.78/10.65    [v0:
% 73.78/10.65      A_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register_pair$f(v3, v2) = v1) |  ~ (register_pair$f(v3, v2) =
% 73.78/10.65        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (complements$f(v3, v2) = v1) |  ~ (complements$f(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (compatible$c(v3, v2) = v1) |  ~ (compatible$c(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (register_pair$(v3, v2) = v1) |  ~ (register_pair$(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register_pair$e(v3, v2) = v1) |  ~ (register_pair$e(v3, v2) =
% 73.78/10.65        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_a_c_prod_b_complement_domain_a_a_c_prod_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (complements$e(v3, v2) = v1) |  ~ (complements$e(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (compatible$b(v3, v2) = v1) |  ~ (compatible$b(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (register_pair$d(v3, v2) = v1) |  ~ (register_pair$d(v3, v2) = v0)) &  !
% 73.78/10.65    [v0:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register_pair$c(v3, v2) = v1) |  ~ (register_pair$c(v3, v2) =
% 73.78/10.65        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (complements$d(v3, v2) = v1) |  ~ (complements$d(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (compatible$a(v3, v2) = v1) |  ~ (compatible$a(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (complements$c(v3, v2) = v1) |  ~ (complements$c(v3, v2) =
% 73.78/10.65        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (complements$b(v3, v2) = v1) |  ~ (complements$b(v3, v2) =
% 73.78/10.65        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (complements$(v3, v2) = v1) |  ~ (complements$(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 73.78/10.65      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (register_pair$a(v3, v2) = v1) |  ~ (register_pair$a(v3, v2) = v0)) &  !
% 73.78/10.65    [v0:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (register_pair$b(v3, v2) = v1) |  ~ (register_pair$b(v3, v2) = v0)) &  !
% 73.78/10.65    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (complements$a(v3, v2) = v1) |  ~ (complements$a(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (compatible$(v3, v2) = v1) |  ~ (compatible$(v3, v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (iso_register$ag(v2) = v1) |  ~ (iso_register$ag(v2) = v0)) & 
% 73.78/10.65    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (iso_register$af(v2) = v1) |  ~ (iso_register$af(v2) = v0)) & 
% 73.78/10.65    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (iso_register$ae(v2) = v1) |  ~ (iso_register$ae(v2) = v0)) & 
% 73.78/10.65    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (iso_register$ad(v2) = v1) |  ~ (iso_register$ad(v2) = v0)) & 
% 73.78/10.65    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register$as(v2) = v1) |  ~ (register$as(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (iso_register$ac(v2) = v1) |  ~ (iso_register$ac(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (iso_register$ab(v2) = v1) |  ~ (iso_register$ab(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register$ar(v2) = v1) |  ~ (register$ar(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register$aq(v2) = v1) |  ~ (register$aq(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register$ap(v2) = v1) |  ~ (register$ap(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register$ao(v2) = v1) |  ~ (register$ao(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register$an(v2) = v1) |  ~ (register$an(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register$am(v2) = v1) |  ~ (register$am(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register$al(v2) = v1) |  ~ (register$al(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register$ak(v2) = v1) |  ~ (register$ak(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register$aj(v2) = v1) |  ~ (register$aj(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (iso_register$aa(v2) = v1) |  ~ (iso_register$aa(v2) = v0)) & 
% 73.78/10.65    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register$ai(v2) = v1) |  ~ (register$ai(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register$ah(v2) = v1) |  ~ (register$ah(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_a_prod_ell2_c_a_c_prod_b_complement_domain_prod_a_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register$ag(v2) = v1) |  ~ (register$ag(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_c_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_prod_ell2_cblinfun_a_b_complement_domain_b_prod_ell2_a_b_complement_domain_b_prod_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register$af(v2) = v1) |  ~ (register$af(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register$ae(v2) = v1) |  ~ (register$ae(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register$ad(v2) = v1) |  ~ (register$ad(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register$ac(v2) = v1) |  ~ (register$ac(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_c_a_c_prod_b_complement_domain_prod_prod_ell2_c_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_a_b_complement_domain_prod_ell2_b_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register$ab(v2) = v1) |  ~ (register$ab(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_a_prod_ell2_c_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register$aa(v2) = v1) |  ~ (register$aa(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_c_prod_ell2_c_c_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register$z(v2) = v1) |  ~ (register$z(v2) = v0)) &  ! [v0:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_set$] :  ! [v1: B_ell2_b_ell2_cblinfun_set$] :  !
% 73.78/10.65    [v2: B_ell2_b_ell2_cblinfun_bool_fun$] : (v1 = v0 |  ~ (collect$d(v2) = v1) | 
% 73.78/10.65      ~ (collect$d(v2) = v0)) &  ! [v0:
% 73.78/10.65      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (collect$c(v2) = v1) |  ~ (collect$c(v2) = v0)) &  ! [v0:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_bool_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (collect$b(v2) = v1) |  ~ (collect$b(v2) = v0)) &  ! [v0:
% 73.78/10.65      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_bool_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (collect$a(v2) = v1) |  ~ (collect$a(v2) = v0)) &  ! [v0:
% 73.78/10.65      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$]
% 73.78/10.65    :  ! [v2:
% 73.78/10.65      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_bool_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (collect$(v2) = v1) |  ~ (collect$(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register$y(v2) = v1) |  ~ (register$y(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register$x(v2) = v1) |  ~ (register$x(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register$w(v2) = v1) |  ~ (register$w(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register$v(v2) = v1) |  ~ (register$v(v2) = v0)) &  ! [v0:
% 73.78/10.65      A_c_prod_ell2$] :  ! [v1: A_c_prod_ell2$] :  ! [v2: A_c_prod$] : (v1 = v0 | 
% 73.78/10.65      ~ (ket$c(v2) = v1) |  ~ (ket$c(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 73.78/10.65    [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0
% 73.78/10.65      |  ~ (regular_register$i(v2) = v1) |  ~ (regular_register$i(v2) = v0)) &  !
% 73.78/10.65    [v0:
% 73.78/10.65      C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2: C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (complement$r(v2) = v1) |  ~ (complement$r(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (regular_register$h(v2) = v1) |  ~ (regular_register$h(v2) = v0)) &  ! [v0:
% 73.78/10.65      C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2: C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (complement$q(v2) = v1) |  ~ (complement$q(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (regular_register$g(v2) = v1) |  ~ (regular_register$g(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (register$u(v2) = v1) |  ~ (register$u(v2) = v0)) &  ! [v0:
% 73.78/10.65      A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2: A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (complement$p(v2) = v1) |  ~ (complement$p(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (regular_register$f(v2) = v1) |  ~ (regular_register$f(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (register$t(v2) = v1) |  ~ (register$t(v2) = v0)) &  ! [v0:
% 73.78/10.65      A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (complement$o(v2) = v1) |  ~ (complement$o(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (regular_register$e(v2) = v1) |  ~ (regular_register$e(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (regular_register$d(v2) = v1) |  ~ (regular_register$d(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (register$s(v2) = v1) |  ~ (register$s(v2) = v0)) &  ! [v0:
% 73.78/10.65      B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2: B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (complement$n(v2) = v1) |  ~ (complement$n(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (regular_register$c(v2) = v1) |  ~ (regular_register$c(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (register$r(v2) = v1) |  ~ (register$r(v2) = v0)) &  ! [v0:
% 73.78/10.65      B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2: B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (complement$m(v2) = v1) |  ~ (complement$m(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (regular_register$b(v2) = v1) |  ~ (regular_register$b(v2) = v0)) &  ! [v0:
% 73.78/10.65      B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v1:
% 73.78/10.65      B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    :  ! [v2: B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (complement$l(v2) = v1) |  ~ (complement$l(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (iso_register$z(v2) = v1) |  ~ (iso_register$z(v2) = v0)) &  ! [v0: C_ell2$]
% 73.78/10.65    :  ! [v1: C_ell2$] :  ! [v2: C$] : (v1 = v0 |  ~ (ket$b(v2) = v1) |  ~
% 73.78/10.65      (ket$b(v2) = v0)) &  ! [v0: A_ell2$] :  ! [v1: A_ell2$] :  ! [v2: A$] : (v1
% 73.78/10.65      = v0 |  ~ (ket$a(v2) = v1) |  ~ (ket$a(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (register$q(v2) = v1) |  ~ (register$q(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (register$p(v2) = v1) |  ~ (register$p(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (iso_register$y(v2) = v1) |  ~ (iso_register$y(v2) = v0)) &  !
% 73.78/10.65    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (iso_register$x(v2) = v1) |  ~ (iso_register$x(v2) = v0)) &  !
% 73.78/10.65    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (iso_register$v(v2) = v1) |  ~ (iso_register$v(v2) = v0)) &  !
% 73.78/10.65    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (iso_register$w(v2) = v1) |  ~ (iso_register$w(v2) = v0)) &  !
% 73.78/10.65    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.65    : (v1 = v0 |  ~ (register$o(v2) = v1) |  ~ (register$o(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (iso_register$u(v2) = v1) |  ~ (iso_register$u(v2) = v0)) &  ! [v0:
% 73.78/10.65      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.65      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.65      (iso_register$t(v2) = v1) |  ~ (iso_register$t(v2) = v0)) &  ! [v0:
% 73.78/10.66      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (register$n(v2) = v1) |  ~ (register$n(v2) = v0)) &  ! [v0:
% 73.78/10.66      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (register$m(v2) = v1) |  ~ (register$m(v2) = v0)) &  ! [v0:
% 73.78/10.66      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (register$l(v2) = v1) |  ~ (register$l(v2) = v0)) &  ! [v0:
% 73.78/10.66      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (register$k(v2) = v1) |  ~ (register$k(v2) = v0)) &  ! [v0:
% 73.78/10.66      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (iso_register$s(v2) = v1) |  ~ (iso_register$s(v2) = v0)) &  !
% 73.78/10.66    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (iso_register$r(v2) = v1) |  ~ (iso_register$r(v2) = v0)) &  !
% 73.78/10.66    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (iso_register$p(v2) = v1) |  ~ (iso_register$p(v2) = v0)) &  !
% 73.78/10.66    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (iso_register$q(v2) = v1) |  ~ (iso_register$q(v2) = v0)) &  !
% 73.78/10.66    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (iso_register$o(v2) = v1) |  ~ (iso_register$o(v2) = v0)) &  !
% 73.78/10.66    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (iso_register$n(v2) = v1) |  ~ (iso_register$n(v2) = v0)) &  !
% 73.78/10.66    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (iso_register$m(v2) = v1) |  ~ (iso_register$m(v2) = v0)) &  !
% 73.78/10.66    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (iso_register$l(v2) = v1) |  ~ (iso_register$l(v2) = v0)) &  !
% 73.78/10.66    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (iso_register$k(v2) = v1) |  ~ (iso_register$k(v2) = v0)) &  !
% 73.78/10.66    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (iso_register$j(v2) = v1) |  ~ (iso_register$j(v2) = v0)) &  !
% 73.78/10.66    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.66      (iso_register$i(v2) = v1) |  ~ (iso_register$i(v2) = v0)) &  ! [v0:
% 73.78/10.66      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      C_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (iso_register$h(v2) = v1) |  ~ (iso_register$h(v2) = v0)) &  !
% 73.78/10.66    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (iso_register$g(v2) = v1) |  ~ (iso_register$g(v2) = v0)) &  !
% 73.78/10.66    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (iso_register$f(v2) = v1) |  ~ (iso_register$f(v2) = v0)) &  !
% 73.78/10.66    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.66      (register$j(v2) = v1) |  ~ (register$j(v2) = v0)) &  ! [v0:
% 73.78/10.66      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (iso_register$e(v2) = v1) |  ~ (iso_register$e(v2) = v0)) &  !
% 73.78/10.66    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (iso_register$d(v2) = v1) |  ~ (iso_register$d(v2) = v0)) &  !
% 73.78/10.66    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0
% 73.78/10.66      |  ~ (iso_register$c(v2) = v1) |  ~ (iso_register$c(v2) = v0)) &  ! [v0:
% 73.78/10.66      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (iso_register$b(v2) = v1) |  ~ (iso_register$b(v2) = v0)) &  !
% 73.78/10.66    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (iso_register$a(v2) = v1) |  ~ (iso_register$a(v2) = v0)) &  !
% 73.78/10.66    [v0:
% 73.78/10.66      C_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    :  ! [v1:
% 73.78/10.66      C_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    :  ! [v2:
% 73.78/10.66      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (complement$k(v2) = v1) |  ~ (complement$k(v2) = v0)) &  !
% 73.78/10.66    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (register$i(v2) = v1) |  ~ (register$i(v2) = v0)) &  ! [v0:
% 73.78/10.66      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0
% 73.78/10.66      |  ~ (register$g(v2) = v1) |  ~ (register$g(v2) = v0)) &  ! [v0:
% 73.78/10.66      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (register$h(v2) = v1) |  ~ (register$h(v2) = v0)) &  ! [v0:
% 73.78/10.66      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (register$f(v2) = v1) |  ~ (register$f(v2) = v0)) &  ! [v0:
% 73.78/10.66      A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    :  ! [v1:
% 73.78/10.66      A_b_complement_domain_b_complement_domain_ell2_a_b_complement_domain_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    :  ! [v2:
% 73.78/10.66      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (complement$i(v2) = v1) |  ~ (complement$i(v2) = v0)) &  !
% 73.78/10.66    [v0:
% 73.78/10.66      C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.66    :  ! [v1:
% 73.78/10.66      C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.66    :  ! [v2:
% 73.78/10.66      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (complement$j(v2) = v1) |  ~ (complement$j(v2) = v0)) &  !
% 73.78/10.66    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (register$d(v2) = v1) |  ~ (register$d(v2) = v0)) &  ! [v0:
% 73.78/10.66      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (register$e(v2) = v1) |  ~ (register$e(v2) = v0)) &  ! [v0:
% 73.78/10.66      A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.66    :  ! [v1:
% 73.78/10.66      A_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_a_a_b_complement_domain_prod_a_c_a_c_prod_b_complement_domain_prod_prod_complement_domain_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.66    :  ! [v2:
% 73.78/10.66      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (complement$g(v2) = v1) |  ~ (complement$g(v2) = v0)) &  !
% 73.78/10.66    [v0:
% 73.78/10.66      B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.66    :  ! [v1:
% 73.78/10.66      B_a_a_b_complement_domain_prod_complement_domain_ell2_b_a_a_b_complement_domain_prod_complement_domain_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.66    :  ! [v2:
% 73.78/10.66      B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (complement$h(v2) = v1) |  ~ (complement$h(v2) = v0)) &  !
% 73.78/10.66    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (register$b(v2) = v1) |  ~ (register$b(v2) = v0)) &  ! [v0:
% 73.78/10.66      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (register$c(v2) = v1) |  ~ (register$c(v2) = v0)) &  ! [v0:
% 73.78/10.66      B_ell2$] :  ! [v1: B_ell2$] :  ! [v2: B$] : (v1 = v0 |  ~ (ket$(v2) = v1) | 
% 73.78/10.66      ~ (ket$(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool]
% 73.78/10.66    :  ! [v2:
% 73.78/10.66      C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (iso_register$(v2) = v1) |  ~ (iso_register$(v2) = v0)) &  !
% 73.78/10.66    [v0:
% 73.78/10.66      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    :  ! [v1:
% 73.78/10.66      C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    :  ! [v2: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.66      (complement$f(v2) = v1) |  ~ (complement$f(v2) = v0)) &  ! [v0:
% 73.78/10.66      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    :  ! [v1:
% 73.78/10.66      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    :  ! [v2: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.66      (complement$e(v2) = v1) |  ~ (complement$e(v2) = v0)) &  ! [v0:
% 73.78/10.66      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.66      (register$a(v2) = v1) |  ~ (register$a(v2) = v0)) &  ! [v0:
% 73.78/10.66      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.66      (register$(v2) = v1) |  ~ (register$(v2) = v0)) &  ! [v0:
% 73.78/10.66      A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    :  ! [v1:
% 73.78/10.66      A_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    :  ! [v2:
% 73.78/10.66      A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (complement$d(v2) = v1) |  ~ (complement$d(v2) = v0)) &  !
% 73.78/10.66    [v0:
% 73.78/10.66      A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    :  ! [v1:
% 73.78/10.66      A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    :  ! [v2:
% 73.78/10.66      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (complement$c(v2) = v1) |  ~ (complement$c(v2) = v0)) &  !
% 73.78/10.66    [v0:
% 73.78/10.66      A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    :  ! [v1:
% 73.78/10.66      A_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_a_a_c_prod_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    :  ! [v2:
% 73.78/10.66      A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (complement$b(v2) = v1) |  ~ (complement$b(v2) = v0)) &  !
% 73.78/10.66    [v0:
% 73.78/10.66      C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    :  ! [v1:
% 73.78/10.66      C_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    :  ! [v2:
% 73.78/10.66      C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    : (v1 = v0 |  ~ (complement$a(v2) = v1) |  ~ (complement$a(v2) = v0)) &  !
% 73.78/10.66    [v0:
% 73.78/10.66      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    :  ! [v1:
% 73.78/10.66      A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66    :  ! [v2: A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :
% 73.78/10.66    (v1 = v0 |  ~ (complement$(v2) = v1) |  ~ (complement$(v2) = v0)) &  ! [v0:
% 73.78/10.66      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.66      (regular_register$a(v2) = v1) |  ~ (regular_register$a(v2) = v0)) &  ! [v0:
% 73.78/10.66      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.66      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.66      (regular_register$(v2) = v1) |  ~ (regular_register$(v2) = v0))
% 73.78/10.66  
% 73.78/10.66  Further assumptions not needed in the proof:
% 73.78/10.66  --------------------------------------------
% 73.78/10.66  axiom1, axiom10, axiom100, axiom101, axiom102, axiom103, axiom104, axiom105,
% 73.78/10.66  axiom106, axiom107, axiom108, axiom109, axiom11, axiom110, axiom111, axiom112,
% 73.78/10.66  axiom113, axiom114, axiom115, axiom116, axiom117, axiom118, axiom119, axiom12,
% 73.78/10.66  axiom120, axiom121, axiom122, axiom123, axiom124, axiom125, axiom126, axiom127,
% 73.78/10.66  axiom128, axiom129, axiom13, axiom130, axiom131, axiom132, axiom133, axiom134,
% 73.78/10.66  axiom135, axiom136, axiom137, axiom138, axiom139, axiom14, axiom140, axiom141,
% 73.78/10.66  axiom142, axiom143, axiom144, axiom145, axiom146, axiom147, axiom148, axiom149,
% 73.78/10.66  axiom15, axiom150, axiom151, axiom152, axiom153, axiom154, axiom156, axiom157,
% 73.78/10.66  axiom158, axiom159, axiom16, axiom160, axiom162, axiom163, axiom164, axiom165,
% 73.78/10.66  axiom166, axiom167, axiom168, axiom169, axiom17, axiom170, axiom171, axiom172,
% 73.78/10.66  axiom173, axiom174, axiom175, axiom176, axiom177, axiom178, axiom179, axiom180,
% 73.78/10.66  axiom181, axiom182, axiom183, axiom184, axiom185, axiom186, axiom187, axiom188,
% 73.78/10.66  axiom189, axiom19, axiom190, axiom191, axiom192, axiom193, axiom194, axiom195,
% 73.78/10.66  axiom196, axiom197, axiom198, axiom199, axiom2, axiom20, axiom200, axiom201,
% 73.78/10.66  axiom202, axiom203, axiom204, axiom205, axiom206, axiom207, axiom208, axiom209,
% 73.78/10.66  axiom210, axiom211, axiom212, axiom213, axiom214, axiom215, axiom216, axiom217,
% 73.78/10.66  axiom218, axiom219, axiom220, axiom221, axiom222, axiom223, axiom224, axiom225,
% 73.78/10.66  axiom226, axiom227, axiom228, axiom229, axiom23, axiom230, axiom231, axiom232,
% 73.78/10.66  axiom233, axiom234, axiom235, axiom236, axiom237, axiom238, axiom239, axiom24,
% 73.78/10.66  axiom240, axiom241, axiom242, axiom243, axiom244, axiom245, axiom246, axiom247,
% 73.78/10.66  axiom248, axiom249, axiom250, axiom251, axiom252, axiom253, axiom254, axiom255,
% 73.78/10.66  axiom256, axiom257, axiom258, axiom259, axiom260, axiom261, axiom262, axiom263,
% 73.78/10.66  axiom264, axiom265, axiom266, axiom267, axiom268, axiom269, axiom270, axiom271,
% 73.78/10.66  axiom272, axiom273, axiom274, axiom275, axiom276, axiom277, axiom278, axiom279,
% 73.78/10.66  axiom28, axiom280, axiom281, axiom282, axiom283, axiom284, axiom285, axiom286,
% 73.78/10.66  axiom288, axiom289, axiom29, axiom290, axiom291, axiom292, axiom293, axiom294,
% 73.78/10.66  axiom296, axiom297, axiom298, axiom299, axiom30, axiom300, axiom301, axiom302,
% 73.78/10.66  axiom303, axiom304, axiom305, axiom306, axiom307, axiom308, axiom309, axiom31,
% 73.78/10.66  axiom310, axiom311, axiom312, axiom313, axiom314, axiom315, axiom316, axiom317,
% 73.78/10.66  axiom318, axiom319, axiom32, axiom320, axiom321, axiom322, axiom323, axiom324,
% 73.78/10.66  axiom325, axiom326, axiom327, axiom328, axiom329, axiom33, axiom330, axiom331,
% 73.78/10.66  axiom332, axiom333, axiom334, axiom335, axiom336, axiom337, axiom338, axiom339,
% 73.78/10.66  axiom34, axiom340, axiom341, axiom342, axiom343, axiom344, axiom345, axiom346,
% 73.78/10.66  axiom347, axiom348, axiom349, axiom35, axiom350, axiom351, axiom352, axiom353,
% 73.78/10.66  axiom354, axiom355, axiom356, axiom357, axiom358, axiom359, axiom36, axiom360,
% 73.78/10.66  axiom361, axiom362, axiom363, axiom364, axiom365, axiom366, axiom367, axiom368,
% 73.78/10.66  axiom369, axiom37, axiom370, axiom371, axiom372, axiom373, axiom374, axiom375,
% 73.78/10.66  axiom376, axiom377, axiom378, axiom379, axiom38, axiom380, axiom381, axiom382,
% 73.78/10.66  axiom383, axiom384, axiom385, axiom386, axiom387, axiom388, axiom389, axiom39,
% 73.78/10.66  axiom390, axiom391, axiom392, axiom393, axiom394, axiom395, axiom396, axiom397,
% 73.78/10.66  axiom398, axiom399, axiom40, axiom400, axiom401, axiom402, axiom403, axiom404,
% 73.78/10.66  axiom405, axiom406, axiom407, axiom408, axiom409, axiom41, axiom410, axiom411,
% 73.78/10.66  axiom412, axiom413, axiom414, axiom415, axiom416, axiom417, axiom418, axiom419,
% 73.78/10.66  axiom42, axiom420, axiom421, axiom422, axiom423, axiom424, axiom425, axiom426,
% 73.78/10.66  axiom427, axiom428, axiom429, axiom43, axiom430, axiom431, axiom432, axiom433,
% 73.78/10.66  axiom434, axiom435, axiom436, axiom437, axiom438, axiom439, axiom44, axiom440,
% 73.78/10.66  axiom441, axiom442, axiom443, axiom444, axiom445, axiom446, axiom447, axiom448,
% 73.78/10.66  axiom449, axiom45, axiom450, axiom451, axiom452, axiom453, axiom454, axiom455,
% 73.78/10.66  axiom456, axiom457, axiom458, axiom459, axiom46, axiom460, axiom461, axiom462,
% 73.78/10.66  axiom463, axiom464, axiom465, axiom466, axiom467, axiom468, axiom469, axiom47,
% 73.78/10.66  axiom470, axiom471, axiom472, axiom473, axiom474, axiom475, axiom476, axiom477,
% 73.78/10.66  axiom478, axiom479, axiom48, axiom480, axiom481, axiom482, axiom483, axiom484,
% 73.78/10.66  axiom485, axiom486, axiom487, axiom488, axiom489, axiom49, axiom490, axiom491,
% 73.78/10.66  axiom492, axiom493, axiom494, axiom495, axiom496, axiom497, axiom498, axiom499,
% 73.78/10.66  axiom5, axiom50, axiom500, axiom501, axiom502, axiom503, axiom504, axiom505,
% 73.78/10.66  axiom506, axiom507, axiom508, axiom509, axiom51, axiom510, axiom511, axiom512,
% 73.78/10.66  axiom513, axiom514, axiom515, axiom516, axiom517, axiom518, axiom519, axiom52,
% 73.78/10.66  axiom520, axiom521, axiom522, axiom523, axiom524, axiom525, axiom526, axiom527,
% 73.78/10.66  axiom528, axiom529, axiom53, axiom530, axiom531, axiom532, axiom533, axiom534,
% 73.78/10.66  axiom535, axiom536, axiom537, axiom538, axiom539, axiom54, axiom540, axiom541,
% 73.78/10.66  axiom542, axiom543, axiom544, axiom545, axiom546, axiom547, axiom548, axiom549,
% 73.78/10.66  axiom55, axiom550, axiom551, axiom552, axiom553, axiom554, axiom555, axiom556,
% 73.78/10.66  axiom557, axiom558, axiom559, axiom56, axiom560, axiom561, axiom562, axiom563,
% 73.78/10.66  axiom564, axiom565, axiom566, axiom567, axiom568, axiom569, axiom57, axiom570,
% 73.78/10.66  axiom571, axiom572, axiom573, axiom574, axiom575, axiom576, axiom577, axiom578,
% 73.78/10.66  axiom579, axiom58, axiom580, axiom581, axiom582, axiom583, axiom584, axiom585,
% 73.78/10.66  axiom586, axiom587, axiom588, axiom589, axiom59, axiom590, axiom591, axiom592,
% 73.78/10.66  axiom593, axiom594, axiom595, axiom596, axiom597, axiom598, axiom599, axiom6,
% 73.78/10.66  axiom60, axiom600, axiom601, axiom602, axiom603, axiom604, axiom605, axiom606,
% 73.78/10.66  axiom607, axiom608, axiom609, axiom61, axiom610, axiom611, axiom612, axiom613,
% 73.78/10.66  axiom614, axiom615, axiom616, axiom617, axiom618, axiom619, axiom62, axiom620,
% 73.78/10.66  axiom621, axiom622, axiom623, axiom624, axiom625, axiom626, axiom627, axiom628,
% 73.78/10.66  axiom629, axiom63, axiom630, axiom631, axiom632, axiom633, axiom634, axiom635,
% 73.78/10.66  axiom636, axiom637, axiom638, axiom639, axiom64, axiom65, axiom66, axiom67,
% 73.78/10.66  axiom68, axiom69, axiom7, axiom70, axiom71, axiom72, axiom73, axiom74, axiom75,
% 73.78/10.66  axiom76, axiom77, axiom78, axiom79, axiom8, axiom80, axiom81, axiom82, axiom83,
% 73.78/10.66  axiom84, axiom85, axiom86, axiom87, axiom88, axiom89, axiom9, axiom90, axiom91,
% 73.78/10.66  axiom92, axiom93, axiom94, axiom95, axiom97, axiom98, axiom99
% 73.78/10.66  
% 73.78/10.66  Those formulas are unsatisfiable:
% 73.78/10.66  ---------------------------------
% 73.78/10.66  
% 73.78/10.66  Begin of proof
% 73.78/10.66  | 
% 73.78/10.66  | ALPHA: (axiom3) implies:
% 73.78/10.66  |   (1)  compatible$(f$, g$) = 0
% 73.78/10.66  | 
% 73.78/10.66  | ALPHA: (axiom4) implies:
% 73.78/10.66  |   (2)   ? [v0:
% 73.78/10.66  |          A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : 
% 73.78/10.66  |        ? [v1:
% 73.78/10.66  |          A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66  |        :  ? [v2:
% 73.78/10.66  |          C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66  |        : (register_pair$a(f$, g$) = v0 & complement$(v0) = v1 &
% 73.78/10.66  |          register_pair$b(g$, v1) = v2 & complements$a(f$, v2) = 0 &
% 73.78/10.66  |          A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v1)
% 73.78/10.66  |          &
% 73.78/10.66  |          A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v0)
% 73.78/10.66  |          &
% 73.78/10.66  |          C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v2))
% 73.78/10.66  | 
% 73.78/10.66  | ALPHA: (axiom21) implies:
% 73.78/10.66  |   (3)   ? [v0:
% 73.78/10.66  |          A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66  |        :  ? [v1:
% 73.78/10.66  |          A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : 
% 73.78/10.66  |        ? [v2:
% 73.78/10.66  |          A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66  |        :  ? [v3:
% 73.78/10.66  |          C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66  |        : (complement$e(f$) = v0 & equivalent_registers$(v0, v3) = 0 &
% 73.78/10.66  |          register_pair$a(f$, g$) = v1 & complement$(v1) = v2 &
% 73.78/10.66  |          register_pair$b(g$, v2) = v3 &
% 73.78/10.66  |          A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v2)
% 73.78/10.66  |          &
% 73.78/10.66  |          A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v0)
% 73.78/10.66  |          &
% 73.78/10.66  |          A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v1)
% 73.78/10.66  |          &
% 73.78/10.66  |          C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v3))
% 73.78/10.66  | 
% 73.78/10.66  | ALPHA: (axiom22) implies:
% 73.78/10.66  |   (4)   ? [v0:
% 73.78/10.66  |          A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : 
% 73.78/10.66  |        ? [v1:
% 73.78/10.66  |          A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66  |        :  ? [v2:
% 73.78/10.66  |          C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66  |        :  ? [v3:
% 73.78/10.66  |          A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66  |        : (comp$(v3, i$) = v2 & complement$e(f$) = v3 & register_pair$a(f$, g$)
% 73.78/10.66  |          = v0 & complement$(v0) = v1 & register_pair$b(g$, v1) = v2 &
% 73.78/10.66  |          A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v1)
% 73.78/10.66  |          &
% 73.78/10.66  |          A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v3)
% 73.78/10.66  |          &
% 73.78/10.66  |          A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v0)
% 73.78/10.66  |          &
% 73.78/10.66  |          C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v2))
% 73.78/10.66  | 
% 73.78/10.66  | ALPHA: (axiom25) implies:
% 73.78/10.66  |   (5)   ? [v0:
% 73.78/10.66  |          A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : 
% 73.78/10.66  |        ? [v1:
% 73.78/10.66  |          A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66  |        :  ? [v2:
% 73.78/10.66  |          C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66  |        :  ? [v3:
% 73.78/10.66  |          A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66  |        : (complement$e(f$) = v3 & register_pair$a(f$, g$) = v0 &
% 73.78/10.66  |          complement$(v0) = v1 & register_pair$b(g$, v1) = v2 &
% 73.78/10.66  |          A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v1)
% 73.78/10.66  |          &
% 73.78/10.66  |          A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v3)
% 73.78/10.66  |          &
% 73.78/10.66  |          A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v0)
% 73.78/10.66  |          &
% 73.78/10.66  |          C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v2)
% 73.78/10.66  |          &  ? [v4:
% 73.78/10.66  |            C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.66  |          : (iso_register$(v4) = 0 & comp$(v3, v4) = v2 &
% 73.78/10.66  |            C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$(v4)))
% 73.78/10.66  | 
% 73.78/10.66  | ALPHA: (axiom26) implies:
% 73.78/10.66  |   (6)   ? [v0:
% 73.78/10.66  |          A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : 
% 73.78/10.66  |        ? [v1:
% 73.78/10.66  |          A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66  |        :  ? [v2:
% 73.78/10.66  |          A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.66  |        : (register_pair$n(v0, v1) = v2 & bij_betw$(v2, top$, top$a) = 0 &
% 73.78/10.66  |          register_pair$a(f$, g$) = v0 & complement$(v0) = v1 &
% 73.78/10.66  |          A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v1)
% 73.78/10.66  |          &
% 73.78/10.66  |          A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v2)
% 73.78/10.66  |          &
% 73.78/10.66  |          A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v0))
% 73.78/10.66  | 
% 73.78/10.66  | ALPHA: (axiom27) implies:
% 73.78/10.67  |   (7)   ? [v0:
% 73.78/10.67  |          A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : 
% 73.78/10.67  |        ? [v1:
% 73.78/10.67  |          A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |        :  ? [v2:
% 73.78/10.67  |          A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |        :  ? [v3:
% 73.78/10.67  |          C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |        :  ? [v4:
% 73.78/10.67  |          B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.67  |        :  ? [v5: B_ell2$] :  ? [v6: B_ell2_b_ell2_cblinfun$] :
% 73.78/10.67  |        (inv_into$(top$b, v3) = v4 & ket$(default$) = v5 & butterfly$(v5, v5) =
% 73.78/10.67  |          v6 & fun_app$(v4, v6) = t3$ & register_pair$(f$, v1) = v2 &
% 73.78/10.67  |          register_pair$d(g$, v2) = v3 & register_pair$a(f$, g$) = v0 &
% 73.78/10.67  |          complement$(v0) = v1 & B_ell2$(v5) &
% 73.78/10.67  |          A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v1)
% 73.78/10.67  |          &
% 73.78/10.67  |          B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$(v4)
% 73.78/10.67  |          &
% 73.78/10.67  |          A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v2)
% 73.78/10.67  |          &
% 73.78/10.67  |          A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v0)
% 73.78/10.67  |          & B_ell2_b_ell2_cblinfun$(v6) &
% 73.78/10.67  |          C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v3))
% 73.78/10.67  | 
% 73.78/10.67  | ALPHA: (axiom96) implies:
% 73.78/10.67  |   (8)   ? [v0:
% 73.78/10.67  |          A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : 
% 73.78/10.67  |        ? [v1:
% 73.78/10.67  |          A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |        :  ? [v2:
% 73.78/10.67  |          A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |        :  ? [v3:
% 73.78/10.67  |          B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$]
% 73.78/10.67  |        :  ? [v4: B_ell2$] :  ? [v5: B_ell2_b_ell2_cblinfun$] :
% 73.78/10.67  |        (inv_into$a(top$, v2) = v3 & fun_app$a(v3, v5) = t1$ & ket$(default$) =
% 73.78/10.67  |          v4 & butterfly$(v4, v4) = v5 & register_pair$n(v0, v1) = v2 &
% 73.78/10.67  |          register_pair$a(f$, g$) = v0 & complement$(v0) = v1 & B_ell2$(v4) &
% 73.78/10.67  |          A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v1)
% 73.78/10.67  |          &
% 73.78/10.67  |          B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$(v3)
% 73.78/10.67  |          &
% 73.78/10.67  |          A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v2)
% 73.78/10.67  |          &
% 73.78/10.67  |          A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v0)
% 73.78/10.67  |          & B_ell2_b_ell2_cblinfun$(v5))
% 73.78/10.67  | 
% 73.78/10.67  | ALPHA: (axiom155) implies:
% 73.78/10.67  |   (9)   ? [v0:
% 73.78/10.67  |          A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : 
% 73.78/10.67  |        ? [v1:
% 73.78/10.67  |          A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |        :  ? [v2:
% 73.78/10.67  |          C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |        :  ? [v3:
% 73.78/10.67  |          A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |        :  ? [v4:
% 73.78/10.67  |          B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$]
% 73.78/10.67  |        :  ? [v5: B_ell2$] :  ? [v6: B_ell2_b_ell2_cblinfun$] : (fun_app$b(v4,
% 73.78/10.67  |            v6) = t2$ & inv_into$o(top$g, v3) = v4 & ket$(default$) = v5 &
% 73.78/10.67  |          butterfly$(v5, v5) = v6 & register_pair$i(f$, v2) = v3 &
% 73.78/10.67  |          register_pair$a(f$, g$) = v0 & complement$(v0) = v1 &
% 73.78/10.67  |          register_pair$b(g$, v1) = v2 & B_ell2$(v5) &
% 73.78/10.67  |          A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v3)
% 73.78/10.67  |          &
% 73.78/10.67  |          A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v1)
% 73.78/10.67  |          &
% 73.78/10.67  |          B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$(v4)
% 73.78/10.67  |          &
% 73.78/10.67  |          A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v0)
% 73.78/10.67  |          & B_ell2_b_ell2_cblinfun$(v6) &
% 73.78/10.67  |          C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v2))
% 73.78/10.67  | 
% 73.78/10.67  | ALPHA: (axiom287) implies:
% 73.78/10.67  |   (10)   ! [v0: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 73.78/10.67  |           C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 73.78/10.67  |           A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |         :  ! [v3:
% 73.78/10.67  |           C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |         :  ! [v4:
% 73.78/10.67  |           A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |         : ( ~ (register_pair$i(v0, v3) = v4) |  ~ (register_pair$b(v1, v2) =
% 73.78/10.67  |             v3) |  ~
% 73.78/10.67  |           A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v2)
% 73.78/10.67  |           |  ~ A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v0) |  ~
% 73.78/10.67  |           C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v1) |  ? [v5:
% 73.78/10.67  |             any] :  ? [v6: any] :  ? [v7: any] :  ? [v8:
% 73.78/10.67  |             A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |           :  ? [v9:
% 73.78/10.67  |             A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |           :  ? [v10:
% 73.78/10.67  |             A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |           : (comp$av(v9, assoc$g) = v10 & compatible$p(v1, v2) = v6 &
% 73.78/10.67  |             register_pair$n(v8, v2) = v9 & compatible$b(v0, v2) = v7 &
% 73.78/10.67  |             register_pair$a(v0, v1) = v8 & compatible$(v0, v1) = v5 &
% 73.78/10.67  |             A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v10)
% 73.78/10.67  |             &
% 73.78/10.67  |             A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v9)
% 73.78/10.67  |             &
% 73.78/10.67  |             A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v8)
% 73.78/10.67  |             & ( ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0) | v10 = v4)))
% 73.78/10.67  | 
% 73.78/10.67  | ALPHA: (axiom295) implies:
% 73.78/10.67  |   (11)   ! [v0: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 73.78/10.67  |           C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 73.78/10.67  |           A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |         :  ! [v3:
% 73.78/10.67  |           C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |         :  ! [v4:
% 73.78/10.67  |           A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |         : ( ~ (register_pair$i(v0, v3) = v4) |  ~ (register_pair$b(v1, v2) =
% 73.78/10.67  |             v3) |  ~
% 73.78/10.67  |           A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v2)
% 73.78/10.67  |           |  ~ A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v0) |  ~
% 73.78/10.67  |           C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v1) |  ? [v5:
% 73.78/10.67  |             any] :  ? [v6: any] :  ? [v7: any] :  ? [v8:
% 73.78/10.67  |             A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |           :  ? [v9:
% 73.78/10.67  |             A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |           :  ? [v10:
% 73.78/10.67  |             A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |           : (comp$bd(v4, assoc$o) = v8 & compatible$p(v1, v2) = v6 &
% 73.78/10.67  |             register_pair$n(v9, v2) = v10 & compatible$b(v0, v2) = v7 &
% 73.78/10.67  |             register_pair$a(v0, v1) = v9 & compatible$(v0, v1) = v5 &
% 73.78/10.67  |             A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v10)
% 73.78/10.67  |             &
% 73.78/10.67  |             A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v8)
% 73.78/10.67  |             &
% 73.78/10.67  |             A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v9)
% 73.78/10.67  |             & ( ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0) | v10 = v8)))
% 73.78/10.67  | 
% 73.78/10.67  | ALPHA: (conjecture0) implies:
% 73.78/10.67  |   (12)  C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(g$)
% 73.78/10.67  |   (13)  A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(f$)
% 73.78/10.67  |   (14)   ? [v0:
% 73.78/10.67  |           A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : 
% 73.78/10.67  |         ? [v1:
% 73.78/10.67  |           A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |         :  ? [v2:
% 73.78/10.67  |           A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |         :  ? [v3: int] : ( ~ (v3 = 0) & register_pair$(f$, v1) = v2 &
% 73.78/10.67  |           complements$(g$, v2) = v3 & register_pair$a(f$, g$) = v0 &
% 73.78/10.67  |           complement$(v0) = v1 &
% 73.78/10.67  |           A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v1)
% 73.78/10.67  |           &
% 73.78/10.67  |           A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v2)
% 73.78/10.67  |           &
% 73.78/10.67  |           A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v0))
% 73.78/10.67  | 
% 73.78/10.67  | ALPHA: (function-axioms) implies:
% 73.78/10.67  |   (15)   ! [v0:
% 73.78/10.67  |           A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |         :  ! [v1:
% 73.78/10.67  |           A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |         :  ! [v2:
% 73.78/10.67  |           A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :
% 73.78/10.67  |         (v1 = v0 |  ~ (complement$(v2) = v1) |  ~ (complement$(v2) = v0))
% 73.78/10.67  |   (16)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 73.78/10.67  |           C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.67  |           A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.67  |           (compatible$(v3, v2) = v1) |  ~ (compatible$(v3, v2) = v0))
% 73.78/10.67  |   (17)   ! [v0:
% 73.78/10.67  |           C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |         :  ! [v1:
% 73.78/10.67  |           C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |         :  ! [v2:
% 73.78/10.67  |           A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |         :  ! [v3: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 =
% 73.78/10.67  |           v0 |  ~ (register_pair$b(v3, v2) = v1) |  ~ (register_pair$b(v3, v2)
% 73.78/10.67  |             = v0))
% 73.78/10.67  |   (18)   ! [v0:
% 73.78/10.67  |           A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : 
% 73.78/10.67  |         ! [v1:
% 73.78/10.67  |           A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : 
% 73.78/10.67  |         ! [v2: C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 73.78/10.67  |           A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 73.78/10.67  |           (register_pair$a(v3, v2) = v1) |  ~ (register_pair$a(v3, v2) = v0))
% 73.78/10.67  |   (19)   ! [v0:
% 73.78/10.67  |           A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |         :  ! [v1:
% 73.78/10.67  |           A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |         :  ! [v2:
% 73.78/10.67  |           A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.67  |         :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 =
% 73.78/10.67  |           v0 |  ~ (register_pair$(v3, v2) = v1) |  ~ (register_pair$(v3, v2) =
% 73.78/10.67  |             v0))
% 73.78/10.67  | 
% 73.78/10.67  | DELTA: instantiating (6) with fresh symbols all_1130_0, all_1130_1, all_1130_2
% 73.78/10.67  |        gives:
% 73.78/10.67  |   (20)  register_pair$n(all_1130_2, all_1130_1) = all_1130_0 &
% 73.78/10.67  |         bij_betw$(all_1130_0, top$, top$a) = 0 & register_pair$a(f$, g$) =
% 73.78/10.67  |         all_1130_2 & complement$(all_1130_2) = all_1130_1 &
% 73.78/10.67  |         A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1130_1)
% 73.78/10.67  |         &
% 73.78/10.67  |         A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1130_0)
% 73.78/10.67  |         &
% 73.78/10.67  |         A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1130_2)
% 73.78/10.67  | 
% 73.78/10.67  | ALPHA: (20) implies:
% 73.78/10.67  |   (21)  complement$(all_1130_2) = all_1130_1
% 73.78/10.67  |   (22)  register_pair$a(f$, g$) = all_1130_2
% 73.78/10.67  | 
% 73.78/10.67  | DELTA: instantiating (2) with fresh symbols all_1134_0, all_1134_1, all_1134_2
% 73.78/10.67  |        gives:
% 73.78/10.67  |   (23)  register_pair$a(f$, g$) = all_1134_2 & complement$(all_1134_2) =
% 73.78/10.67  |         all_1134_1 & register_pair$b(g$, all_1134_1) = all_1134_0 &
% 73.78/10.67  |         complements$a(f$, all_1134_0) = 0 &
% 73.78/10.67  |         A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1134_1)
% 73.78/10.67  |         &
% 73.78/10.67  |         A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1134_2)
% 73.78/10.67  |         &
% 73.78/10.67  |         C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1134_0)
% 73.78/10.67  | 
% 73.78/10.67  | ALPHA: (23) implies:
% 73.78/10.67  |   (24)  A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1134_1)
% 73.78/10.67  |   (25)  register_pair$b(g$, all_1134_1) = all_1134_0
% 73.78/10.68  |   (26)  complement$(all_1134_2) = all_1134_1
% 73.78/10.68  |   (27)  register_pair$a(f$, g$) = all_1134_2
% 73.78/10.68  | 
% 73.78/10.68  | DELTA: instantiating (14) with fresh symbols all_1152_0, all_1152_1,
% 73.78/10.68  |        all_1152_2, all_1152_3 gives:
% 73.78/10.68  |   (28)   ~ (all_1152_0 = 0) & register_pair$(f$, all_1152_2) = all_1152_1 &
% 73.78/10.68  |         complements$(g$, all_1152_1) = all_1152_0 & register_pair$a(f$, g$) =
% 73.78/10.68  |         all_1152_3 & complement$(all_1152_3) = all_1152_2 &
% 73.78/10.68  |         A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1152_2)
% 73.78/10.68  |         &
% 73.78/10.68  |         A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1152_1)
% 73.78/10.68  |         &
% 73.78/10.68  |         A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1152_3)
% 73.78/10.68  | 
% 73.78/10.68  | ALPHA: (28) implies:
% 73.78/10.68  |   (29)   ~ (all_1152_0 = 0)
% 73.78/10.68  |   (30)  complement$(all_1152_3) = all_1152_2
% 73.78/10.68  |   (31)  register_pair$a(f$, g$) = all_1152_3
% 73.78/10.68  |   (32)  complements$(g$, all_1152_1) = all_1152_0
% 73.78/10.68  |   (33)  register_pair$(f$, all_1152_2) = all_1152_1
% 73.78/10.68  | 
% 73.78/10.68  | DELTA: instantiating (4) with fresh symbols all_1158_0, all_1158_1,
% 73.78/10.68  |        all_1158_2, all_1158_3 gives:
% 73.78/10.68  |   (34)  comp$(all_1158_0, i$) = all_1158_1 & complement$e(f$) = all_1158_0 &
% 73.78/10.68  |         register_pair$a(f$, g$) = all_1158_3 & complement$(all_1158_3) =
% 73.78/10.68  |         all_1158_2 & register_pair$b(g$, all_1158_2) = all_1158_1 &
% 73.78/10.68  |         A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1158_2)
% 73.78/10.68  |         &
% 73.78/10.68  |         A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1158_0)
% 73.78/10.68  |         &
% 73.78/10.68  |         A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1158_3)
% 73.78/10.68  |         &
% 73.78/10.68  |         C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1158_1)
% 73.78/10.68  | 
% 73.78/10.68  | ALPHA: (34) implies:
% 73.78/10.68  |   (35)  register_pair$b(g$, all_1158_2) = all_1158_1
% 73.78/10.68  |   (36)  complement$(all_1158_3) = all_1158_2
% 73.78/10.68  |   (37)  register_pair$a(f$, g$) = all_1158_3
% 73.78/10.68  | 
% 73.78/10.68  | DELTA: instantiating (3) with fresh symbols all_1160_0, all_1160_1,
% 73.78/10.68  |        all_1160_2, all_1160_3 gives:
% 73.78/10.68  |   (38)  complement$e(f$) = all_1160_3 & equivalent_registers$(all_1160_3,
% 73.78/10.68  |           all_1160_0) = 0 & register_pair$a(f$, g$) = all_1160_2 &
% 73.78/10.68  |         complement$(all_1160_2) = all_1160_1 & register_pair$b(g$, all_1160_1)
% 73.78/10.68  |         = all_1160_0 &
% 73.78/10.68  |         A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1160_1)
% 73.78/10.68  |         &
% 73.78/10.68  |         A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1160_3)
% 73.78/10.68  |         &
% 73.78/10.68  |         A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1160_2)
% 73.78/10.68  |         &
% 73.78/10.68  |         C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1160_0)
% 73.78/10.68  | 
% 73.78/10.68  | ALPHA: (38) implies:
% 73.78/10.68  |   (39)  register_pair$b(g$, all_1160_1) = all_1160_0
% 73.78/10.68  |   (40)  complement$(all_1160_2) = all_1160_1
% 73.78/10.68  |   (41)  register_pair$a(f$, g$) = all_1160_2
% 73.78/10.68  | 
% 73.78/10.68  | DELTA: instantiating (5) with fresh symbols all_1164_0, all_1164_1,
% 73.78/10.68  |        all_1164_2, all_1164_3 gives:
% 73.78/10.68  |   (42)  complement$e(f$) = all_1164_0 & register_pair$a(f$, g$) = all_1164_3 &
% 73.78/10.68  |         complement$(all_1164_3) = all_1164_2 & register_pair$b(g$, all_1164_2)
% 73.78/10.68  |         = all_1164_1 &
% 73.78/10.68  |         A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1164_2)
% 73.78/10.68  |         &
% 73.78/10.68  |         A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1164_0)
% 73.78/10.68  |         &
% 73.78/10.68  |         A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1164_3)
% 73.78/10.68  |         &
% 73.78/10.68  |         C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1164_1)
% 73.78/10.68  |         &  ? [v0:
% 73.78/10.68  |           C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 73.78/10.68  |         : (iso_register$(v0) = 0 & comp$(all_1164_0, v0) = all_1164_1 &
% 73.78/10.68  |           C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$(v0))
% 73.78/10.68  | 
% 73.78/10.68  | ALPHA: (42) implies:
% 73.78/10.68  |   (43)  register_pair$b(g$, all_1164_2) = all_1164_1
% 73.78/10.68  |   (44)  complement$(all_1164_3) = all_1164_2
% 73.78/10.68  |   (45)  register_pair$a(f$, g$) = all_1164_3
% 73.78/10.68  | 
% 73.78/10.68  | DELTA: instantiating (8) with fresh symbols all_1166_0, all_1166_1,
% 73.78/10.68  |        all_1166_2, all_1166_3, all_1166_4, all_1166_5 gives:
% 73.78/10.68  |   (46)  inv_into$a(top$, all_1166_3) = all_1166_2 & fun_app$a(all_1166_2,
% 73.78/10.68  |           all_1166_0) = t1$ & ket$(default$) = all_1166_1 &
% 73.78/10.68  |         butterfly$(all_1166_1, all_1166_1) = all_1166_0 &
% 73.78/10.68  |         register_pair$n(all_1166_5, all_1166_4) = all_1166_3 &
% 73.78/10.68  |         register_pair$a(f$, g$) = all_1166_5 & complement$(all_1166_5) =
% 73.78/10.68  |         all_1166_4 & B_ell2$(all_1166_1) &
% 73.78/10.68  |         A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1166_4)
% 73.78/10.68  |         &
% 73.78/10.68  |         B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$(all_1166_2)
% 73.78/10.68  |         &
% 73.78/10.68  |         A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1166_3)
% 73.78/10.68  |         &
% 73.78/10.68  |         A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1166_5)
% 73.78/10.68  |         & B_ell2_b_ell2_cblinfun$(all_1166_0)
% 73.78/10.68  | 
% 73.78/10.68  | ALPHA: (46) implies:
% 73.78/10.68  |   (47)  complement$(all_1166_5) = all_1166_4
% 73.78/10.68  |   (48)  register_pair$a(f$, g$) = all_1166_5
% 73.78/10.68  | 
% 73.78/10.68  | DELTA: instantiating (9) with fresh symbols all_1171_0, all_1171_1,
% 73.78/10.68  |        all_1171_2, all_1171_3, all_1171_4, all_1171_5, all_1171_6 gives:
% 73.78/10.68  |   (49)  fun_app$b(all_1171_2, all_1171_0) = t2$ & inv_into$o(top$g,
% 73.78/10.68  |           all_1171_3) = all_1171_2 & ket$(default$) = all_1171_1 &
% 73.78/10.68  |         butterfly$(all_1171_1, all_1171_1) = all_1171_0 & register_pair$i(f$,
% 73.78/10.68  |           all_1171_4) = all_1171_3 & register_pair$a(f$, g$) = all_1171_6 &
% 73.78/10.68  |         complement$(all_1171_6) = all_1171_5 & register_pair$b(g$, all_1171_5)
% 73.78/10.68  |         = all_1171_4 & B_ell2$(all_1171_1) &
% 73.78/10.68  |         A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1171_3)
% 73.78/10.68  |         &
% 73.78/10.68  |         A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1171_5)
% 73.78/10.68  |         &
% 73.78/10.68  |         B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$(all_1171_2)
% 73.78/10.68  |         &
% 73.78/10.68  |         A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1171_6)
% 73.78/10.68  |         & B_ell2_b_ell2_cblinfun$(all_1171_0) &
% 73.78/10.68  |         C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1171_4)
% 73.78/10.68  | 
% 73.78/10.68  | ALPHA: (49) implies:
% 73.78/10.68  |   (50)  register_pair$b(g$, all_1171_5) = all_1171_4
% 73.78/10.68  |   (51)  complement$(all_1171_6) = all_1171_5
% 73.78/10.68  |   (52)  register_pair$a(f$, g$) = all_1171_6
% 73.78/10.68  |   (53)  register_pair$i(f$, all_1171_4) = all_1171_3
% 73.78/10.68  | 
% 73.78/10.68  | DELTA: instantiating (7) with fresh symbols all_1173_0, all_1173_1,
% 73.78/10.68  |        all_1173_2, all_1173_3, all_1173_4, all_1173_5, all_1173_6 gives:
% 73.78/10.68  |   (54)  inv_into$(top$b, all_1173_3) = all_1173_2 & ket$(default$) =
% 73.78/10.68  |         all_1173_1 & butterfly$(all_1173_1, all_1173_1) = all_1173_0 &
% 73.78/10.68  |         fun_app$(all_1173_2, all_1173_0) = t3$ & register_pair$(f$,
% 73.78/10.68  |           all_1173_5) = all_1173_4 & register_pair$d(g$, all_1173_4) =
% 73.78/10.68  |         all_1173_3 & register_pair$a(f$, g$) = all_1173_6 &
% 73.78/10.68  |         complement$(all_1173_6) = all_1173_5 & B_ell2$(all_1173_1) &
% 73.78/10.68  |         A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1173_5)
% 73.78/10.68  |         &
% 73.78/10.68  |         B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$(all_1173_2)
% 73.78/10.68  |         &
% 73.78/10.68  |         A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1173_4)
% 73.78/10.68  |         &
% 73.78/10.68  |         A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1173_6)
% 73.78/10.68  |         & B_ell2_b_ell2_cblinfun$(all_1173_0) &
% 73.78/10.68  |         C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1173_3)
% 73.78/10.68  | 
% 73.78/10.68  | ALPHA: (54) implies:
% 73.78/10.68  |   (55)  complement$(all_1173_6) = all_1173_5
% 73.78/10.68  |   (56)  register_pair$a(f$, g$) = all_1173_6
% 73.78/10.68  |   (57)  register_pair$(f$, all_1173_5) = all_1173_4
% 73.78/10.68  | 
% 73.78/10.68  | GROUND_INST: instantiating (18) with all_1130_2, all_1158_3, g$, f$,
% 73.78/10.68  |              simplifying with (22), (37) gives:
% 73.78/10.68  |   (58)  all_1158_3 = all_1130_2
% 73.78/10.68  | 
% 73.78/10.68  | GROUND_INST: instantiating (18) with all_1160_2, all_1164_3, g$, f$,
% 73.78/10.68  |              simplifying with (41), (45) gives:
% 73.78/10.68  |   (59)  all_1164_3 = all_1160_2
% 73.78/10.68  | 
% 73.78/10.68  | GROUND_INST: instantiating (18) with all_1158_3, all_1164_3, g$, f$,
% 73.78/10.68  |              simplifying with (37), (45) gives:
% 73.78/10.68  |   (60)  all_1164_3 = all_1158_3
% 73.78/10.68  | 
% 73.78/10.68  | GROUND_INST: instantiating (18) with all_1166_5, all_1171_6, g$, f$,
% 73.78/10.68  |              simplifying with (48), (52) gives:
% 73.78/10.68  |   (61)  all_1171_6 = all_1166_5
% 73.78/10.68  | 
% 73.78/10.68  | GROUND_INST: instantiating (18) with all_1160_2, all_1171_6, g$, f$,
% 73.78/10.68  |              simplifying with (41), (52) gives:
% 73.78/10.68  |   (62)  all_1171_6 = all_1160_2
% 73.78/10.68  | 
% 73.78/10.68  | GROUND_INST: instantiating (18) with all_1134_2, all_1171_6, g$, f$,
% 73.78/10.68  |              simplifying with (27), (52) gives:
% 73.78/10.68  |   (63)  all_1171_6 = all_1134_2
% 73.78/10.68  | 
% 73.78/10.68  | GROUND_INST: instantiating (18) with all_1164_3, all_1173_6, g$, f$,
% 73.78/10.68  |              simplifying with (45), (56) gives:
% 73.78/10.68  |   (64)  all_1173_6 = all_1164_3
% 73.78/10.68  | 
% 73.78/10.68  | GROUND_INST: instantiating (18) with all_1152_3, all_1173_6, g$, f$,
% 73.78/10.68  |              simplifying with (31), (56) gives:
% 73.78/10.68  |   (65)  all_1173_6 = all_1152_3
% 73.78/10.68  | 
% 73.78/10.68  | COMBINE_EQS: (64), (65) imply:
% 73.78/10.68  |   (66)  all_1164_3 = all_1152_3
% 73.78/10.68  | 
% 73.78/10.68  | SIMP: (66) implies:
% 73.78/10.68  |   (67)  all_1164_3 = all_1152_3
% 73.78/10.68  | 
% 73.78/10.68  | COMBINE_EQS: (61), (62) imply:
% 73.78/10.68  |   (68)  all_1166_5 = all_1160_2
% 73.78/10.68  | 
% 73.78/10.68  | COMBINE_EQS: (61), (63) imply:
% 73.78/10.68  |   (69)  all_1166_5 = all_1134_2
% 73.78/10.68  | 
% 73.78/10.68  | COMBINE_EQS: (68), (69) imply:
% 73.78/10.68  |   (70)  all_1160_2 = all_1134_2
% 73.78/10.68  | 
% 73.78/10.68  | SIMP: (70) implies:
% 73.78/10.68  |   (71)  all_1160_2 = all_1134_2
% 73.78/10.68  | 
% 73.78/10.68  | COMBINE_EQS: (60), (67) imply:
% 73.78/10.68  |   (72)  all_1158_3 = all_1152_3
% 73.78/10.68  | 
% 73.78/10.68  | SIMP: (72) implies:
% 73.78/10.68  |   (73)  all_1158_3 = all_1152_3
% 73.78/10.68  | 
% 73.78/10.68  | COMBINE_EQS: (59), (67) imply:
% 73.78/10.68  |   (74)  all_1160_2 = all_1152_3
% 73.78/10.68  | 
% 73.78/10.68  | SIMP: (74) implies:
% 73.78/10.68  |   (75)  all_1160_2 = all_1152_3
% 73.78/10.68  | 
% 73.78/10.68  | COMBINE_EQS: (71), (75) imply:
% 73.78/10.68  |   (76)  all_1152_3 = all_1134_2
% 73.78/10.68  | 
% 73.78/10.68  | SIMP: (76) implies:
% 73.78/10.68  |   (77)  all_1152_3 = all_1134_2
% 73.78/10.68  | 
% 73.78/10.68  | COMBINE_EQS: (58), (73) imply:
% 73.78/10.69  |   (78)  all_1152_3 = all_1130_2
% 73.78/10.69  | 
% 73.78/10.69  | SIMP: (78) implies:
% 73.78/10.69  |   (79)  all_1152_3 = all_1130_2
% 73.78/10.69  | 
% 73.78/10.69  | COMBINE_EQS: (77), (79) imply:
% 73.78/10.69  |   (80)  all_1134_2 = all_1130_2
% 73.78/10.69  | 
% 73.78/10.69  | COMBINE_EQS: (71), (80) imply:
% 73.78/10.69  |   (81)  all_1160_2 = all_1130_2
% 73.78/10.69  | 
% 73.78/10.69  | COMBINE_EQS: (67), (79) imply:
% 73.78/10.69  |   (82)  all_1164_3 = all_1130_2
% 73.78/10.69  | 
% 73.78/10.69  | COMBINE_EQS: (69), (80) imply:
% 73.78/10.69  |   (83)  all_1166_5 = all_1130_2
% 73.78/10.69  | 
% 73.78/10.69  | COMBINE_EQS: (61), (83) imply:
% 73.78/10.69  |   (84)  all_1171_6 = all_1130_2
% 73.78/10.69  | 
% 73.78/10.69  | COMBINE_EQS: (65), (79) imply:
% 73.78/10.69  |   (85)  all_1173_6 = all_1130_2
% 73.78/10.69  | 
% 73.78/10.69  | REDUCE: (55), (85) imply:
% 73.78/10.69  |   (86)  complement$(all_1130_2) = all_1173_5
% 73.78/10.69  | 
% 73.78/10.69  | REDUCE: (51), (84) imply:
% 73.78/10.69  |   (87)  complement$(all_1130_2) = all_1171_5
% 73.78/10.69  | 
% 73.78/10.69  | REDUCE: (47), (83) imply:
% 73.78/10.69  |   (88)  complement$(all_1130_2) = all_1166_4
% 73.78/10.69  | 
% 73.78/10.69  | REDUCE: (44), (82) imply:
% 73.78/10.69  |   (89)  complement$(all_1130_2) = all_1164_2
% 73.78/10.69  | 
% 73.78/10.69  | REDUCE: (40), (81) imply:
% 73.78/10.69  |   (90)  complement$(all_1130_2) = all_1160_1
% 73.78/10.69  | 
% 73.78/10.69  | REDUCE: (36), (58) imply:
% 73.78/10.69  |   (91)  complement$(all_1130_2) = all_1158_2
% 73.78/10.69  | 
% 73.78/10.69  | REDUCE: (30), (79) imply:
% 73.78/10.69  |   (92)  complement$(all_1130_2) = all_1152_2
% 73.78/10.69  | 
% 73.78/10.69  | REDUCE: (26), (80) imply:
% 73.78/10.69  |   (93)  complement$(all_1130_2) = all_1134_1
% 73.78/10.69  | 
% 73.78/10.69  | GROUND_INST: instantiating (15) with all_1158_2, all_1160_1, all_1130_2,
% 73.78/10.69  |              simplifying with (90), (91) gives:
% 73.78/10.69  |   (94)  all_1160_1 = all_1158_2
% 73.78/10.69  | 
% 73.78/10.69  | GROUND_INST: instantiating (15) with all_1160_1, all_1164_2, all_1130_2,
% 73.78/10.69  |              simplifying with (89), (90) gives:
% 73.78/10.69  |   (95)  all_1164_2 = all_1160_1
% 73.78/10.69  | 
% 73.78/10.69  | GROUND_INST: instantiating (15) with all_1164_2, all_1166_4, all_1130_2,
% 73.78/10.69  |              simplifying with (88), (89) gives:
% 73.78/10.69  |   (96)  all_1166_4 = all_1164_2
% 73.78/10.69  | 
% 73.78/10.69  | GROUND_INST: instantiating (15) with all_1158_2, all_1171_5, all_1130_2,
% 73.78/10.69  |              simplifying with (87), (91) gives:
% 73.78/10.69  |   (97)  all_1171_5 = all_1158_2
% 73.78/10.69  | 
% 73.78/10.69  | GROUND_INST: instantiating (15) with all_1152_2, all_1171_5, all_1130_2,
% 73.78/10.69  |              simplifying with (87), (92) gives:
% 73.78/10.69  |   (98)  all_1171_5 = all_1152_2
% 73.78/10.69  | 
% 73.78/10.69  | GROUND_INST: instantiating (15) with all_1134_1, all_1171_5, all_1130_2,
% 73.78/10.69  |              simplifying with (87), (93) gives:
% 73.78/10.69  |   (99)  all_1171_5 = all_1134_1
% 73.78/10.69  | 
% 73.78/10.69  | GROUND_INST: instantiating (15) with all_1130_1, all_1173_5, all_1130_2,
% 73.78/10.69  |              simplifying with (21), (86) gives:
% 73.78/10.69  |   (100)  all_1173_5 = all_1130_1
% 73.78/10.69  | 
% 73.78/10.69  | GROUND_INST: instantiating (15) with all_1166_4, all_1173_5, all_1130_2,
% 73.78/10.69  |              simplifying with (86), (88) gives:
% 73.78/10.69  |   (101)  all_1173_5 = all_1166_4
% 73.78/10.69  | 
% 73.78/10.69  | COMBINE_EQS: (100), (101) imply:
% 73.78/10.69  |   (102)  all_1166_4 = all_1130_1
% 73.78/10.69  | 
% 73.78/10.69  | SIMP: (102) implies:
% 73.78/10.69  |   (103)  all_1166_4 = all_1130_1
% 73.78/10.69  | 
% 73.78/10.69  | COMBINE_EQS: (97), (98) imply:
% 73.78/10.69  |   (104)  all_1158_2 = all_1152_2
% 73.78/10.69  | 
% 73.78/10.69  | SIMP: (104) implies:
% 73.78/10.69  |   (105)  all_1158_2 = all_1152_2
% 73.78/10.69  | 
% 73.78/10.69  | COMBINE_EQS: (98), (99) imply:
% 73.78/10.69  |   (106)  all_1152_2 = all_1134_1
% 73.78/10.69  | 
% 73.78/10.69  | COMBINE_EQS: (96), (103) imply:
% 73.78/10.69  |   (107)  all_1164_2 = all_1130_1
% 73.78/10.69  | 
% 73.78/10.69  | SIMP: (107) implies:
% 73.78/10.69  |   (108)  all_1164_2 = all_1130_1
% 73.78/10.69  | 
% 73.78/10.69  | COMBINE_EQS: (95), (108) imply:
% 73.78/10.69  |   (109)  all_1160_1 = all_1130_1
% 73.78/10.69  | 
% 73.78/10.69  | SIMP: (109) implies:
% 73.78/10.69  |   (110)  all_1160_1 = all_1130_1
% 73.78/10.69  | 
% 73.78/10.69  | COMBINE_EQS: (94), (110) imply:
% 73.78/10.69  |   (111)  all_1158_2 = all_1130_1
% 73.78/10.69  | 
% 73.78/10.69  | SIMP: (111) implies:
% 73.78/10.69  |   (112)  all_1158_2 = all_1130_1
% 73.78/10.69  | 
% 73.78/10.69  | COMBINE_EQS: (105), (112) imply:
% 73.78/10.69  |   (113)  all_1152_2 = all_1130_1
% 73.78/10.69  | 
% 73.78/10.69  | SIMP: (113) implies:
% 73.78/10.69  |   (114)  all_1152_2 = all_1130_1
% 73.78/10.69  | 
% 73.78/10.69  | COMBINE_EQS: (106), (114) imply:
% 73.78/10.69  |   (115)  all_1134_1 = all_1130_1
% 73.78/10.69  | 
% 73.78/10.69  | COMBINE_EQS: (98), (114) imply:
% 73.78/10.69  |   (116)  all_1171_5 = all_1130_1
% 73.78/10.69  | 
% 73.78/10.69  | REDUCE: (57), (100) imply:
% 73.78/10.69  |   (117)  register_pair$(f$, all_1130_1) = all_1173_4
% 73.78/10.69  | 
% 73.78/10.69  | REDUCE: (33), (114) imply:
% 73.78/10.69  |   (118)  register_pair$(f$, all_1130_1) = all_1152_1
% 73.78/10.69  | 
% 73.78/10.69  | REDUCE: (50), (116) imply:
% 73.78/10.69  |   (119)  register_pair$b(g$, all_1130_1) = all_1171_4
% 73.78/10.69  | 
% 73.78/10.69  | REDUCE: (43), (108) imply:
% 73.78/10.69  |   (120)  register_pair$b(g$, all_1130_1) = all_1164_1
% 73.78/10.69  | 
% 73.78/10.69  | REDUCE: (39), (110) imply:
% 73.78/10.69  |   (121)  register_pair$b(g$, all_1130_1) = all_1160_0
% 73.78/10.69  | 
% 73.78/10.69  | REDUCE: (35), (112) imply:
% 73.78/10.69  |   (122)  register_pair$b(g$, all_1130_1) = all_1158_1
% 73.78/10.69  | 
% 73.78/10.69  | REDUCE: (25), (115) imply:
% 73.78/10.69  |   (123)  register_pair$b(g$, all_1130_1) = all_1134_0
% 73.78/10.69  | 
% 73.78/10.69  | REDUCE: (24), (115) imply:
% 73.78/10.69  |   (124)  A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1130_1)
% 73.78/10.69  | 
% 73.78/10.69  | GROUND_INST: instantiating (17) with all_1134_0, all_1160_0, all_1130_1, g$,
% 73.78/10.69  |              simplifying with (121), (123) gives:
% 73.78/10.69  |   (125)  all_1160_0 = all_1134_0
% 73.78/10.69  | 
% 73.78/10.69  | GROUND_INST: instantiating (17) with all_1164_1, all_1171_4, all_1130_1, g$,
% 73.78/10.69  |              simplifying with (119), (120) gives:
% 73.78/10.69  |   (126)  all_1171_4 = all_1164_1
% 73.78/10.69  | 
% 73.78/10.69  | GROUND_INST: instantiating (17) with all_1160_0, all_1171_4, all_1130_1, g$,
% 73.78/10.69  |              simplifying with (119), (121) gives:
% 73.78/10.69  |   (127)  all_1171_4 = all_1160_0
% 73.78/10.69  | 
% 73.78/10.69  | GROUND_INST: instantiating (17) with all_1158_1, all_1171_4, all_1130_1, g$,
% 73.78/10.69  |              simplifying with (119), (122) gives:
% 73.78/10.69  |   (128)  all_1171_4 = all_1158_1
% 73.78/10.69  | 
% 73.78/10.69  | GROUND_INST: instantiating (19) with all_1152_1, all_1173_4, all_1130_1, f$,
% 73.78/10.69  |              simplifying with (117), (118) gives:
% 73.78/10.69  |   (129)  all_1173_4 = all_1152_1
% 73.78/10.69  | 
% 73.78/10.69  | COMBINE_EQS: (126), (127) imply:
% 73.78/10.69  |   (130)  all_1164_1 = all_1160_0
% 73.78/10.69  | 
% 73.78/10.69  | COMBINE_EQS: (126), (128) imply:
% 73.78/10.69  |   (131)  all_1164_1 = all_1158_1
% 73.78/10.69  | 
% 73.78/10.69  | COMBINE_EQS: (130), (131) imply:
% 73.78/10.69  |   (132)  all_1160_0 = all_1158_1
% 73.78/10.69  | 
% 73.78/10.69  | SIMP: (132) implies:
% 73.78/10.69  |   (133)  all_1160_0 = all_1158_1
% 73.78/10.69  | 
% 73.78/10.69  | COMBINE_EQS: (125), (133) imply:
% 73.78/10.69  |   (134)  all_1158_1 = all_1134_0
% 73.78/10.69  | 
% 73.78/10.69  | COMBINE_EQS: (131), (134) imply:
% 73.78/10.69  |   (135)  all_1164_1 = all_1134_0
% 73.78/10.69  | 
% 73.78/10.69  | COMBINE_EQS: (126), (135) imply:
% 73.78/10.69  |   (136)  all_1171_4 = all_1134_0
% 73.78/10.69  | 
% 73.78/10.69  | REDUCE: (53), (136) imply:
% 73.78/10.69  |   (137)  register_pair$i(f$, all_1134_0) = all_1171_3
% 73.78/10.69  | 
% 73.78/10.69  | GROUND_INST: instantiating (axiom161) with f$, g$, all_1130_2, simplifying
% 73.78/10.69  |              with (12), (13), (22) gives:
% 73.78/10.70  |   (138)   ? [v0: any] :  ? [v1: any] : (register$g(all_1130_2) = v1 &
% 73.78/10.70  |            compatible$(f$, g$) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 73.78/10.70  | 
% 73.78/10.70  | GROUND_INST: instantiating (axiom18) with f$, g$, all_1130_2, all_1130_1,
% 73.78/10.70  |              all_1152_1, all_1152_0, simplifying with (12), (13), (21), (22),
% 73.78/10.70  |              (32), (118) gives:
% 73.78/10.70  |   (139)  all_1152_0 = 0 |  ? [v0: int] : ( ~ (v0 = 0) & compatible$(f$, g$) =
% 73.78/10.70  |            v0)
% 73.78/10.70  | 
% 73.78/10.70  | GROUND_INST: instantiating (11) with f$, g$, all_1130_1, all_1134_0,
% 73.78/10.70  |              all_1171_3, simplifying with (12), (13), (123), (124), (137)
% 73.78/10.70  |              gives:
% 73.78/10.70  |   (140)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3:
% 73.78/10.70  |            A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.70  |          :  ? [v4:
% 73.78/10.70  |            A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :
% 73.78/10.70  |           ? [v5:
% 73.78/10.70  |            A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.70  |          : (comp$bd(all_1171_3, assoc$o) = v3 & compatible$p(g$, all_1130_1) =
% 73.78/10.70  |            v1 & register_pair$n(v4, all_1130_1) = v5 & compatible$b(f$,
% 73.78/10.70  |              all_1130_1) = v2 & register_pair$a(f$, g$) = v4 & compatible$(f$,
% 73.78/10.70  |              g$) = v0 &
% 73.78/10.70  |            A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v5)
% 73.78/10.70  |            &
% 73.78/10.70  |            A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v3)
% 73.78/10.70  |            &
% 73.78/10.70  |            A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v4)
% 73.78/10.70  |            & ( ~ (v2 = 0) |  ~ (v1 = 0) |  ~ (v0 = 0) | v5 = v3))
% 73.78/10.70  | 
% 73.78/10.70  | GROUND_INST: instantiating (10) with f$, g$, all_1130_1, all_1134_0,
% 73.78/10.70  |              all_1171_3, simplifying with (12), (13), (123), (124), (137)
% 73.78/10.70  |              gives:
% 73.78/10.70  |   (141)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3:
% 73.78/10.70  |            A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :
% 73.78/10.70  |           ? [v4:
% 73.78/10.70  |            A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.70  |          :  ? [v5:
% 73.78/10.70  |            A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 73.78/10.70  |          : (comp$av(v4, assoc$g) = v5 & compatible$p(g$, all_1130_1) = v1 &
% 73.78/10.70  |            register_pair$n(v3, all_1130_1) = v4 & compatible$b(f$, all_1130_1)
% 73.78/10.70  |            = v2 & register_pair$a(f$, g$) = v3 & compatible$(f$, g$) = v0 &
% 73.78/10.70  |            A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v5)
% 73.78/10.70  |            &
% 73.78/10.70  |            A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v4)
% 73.78/10.70  |            &
% 73.78/10.70  |            A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(v3)
% 73.78/10.70  |            & ( ~ (v2 = 0) |  ~ (v1 = 0) |  ~ (v0 = 0) | v5 = all_1171_3))
% 73.78/10.70  | 
% 73.78/10.70  | DELTA: instantiating (138) with fresh symbols all_1360_0, all_1360_1 gives:
% 73.78/10.70  |   (142)  register$g(all_1130_2) = all_1360_0 & compatible$(f$, g$) =
% 73.78/10.70  |          all_1360_1 & ( ~ (all_1360_1 = 0) | all_1360_0 = 0)
% 73.78/10.70  | 
% 73.78/10.70  | ALPHA: (142) implies:
% 73.78/10.70  |   (143)  compatible$(f$, g$) = all_1360_1
% 73.78/10.70  | 
% 73.78/10.70  | DELTA: instantiating (141) with fresh symbols all_1391_0, all_1391_1,
% 73.78/10.70  |        all_1391_2, all_1391_3, all_1391_4, all_1391_5 gives:
% 73.78/10.70  |   (144)  comp$av(all_1391_1, assoc$g) = all_1391_0 & compatible$p(g$,
% 73.78/10.70  |            all_1130_1) = all_1391_4 & register_pair$n(all_1391_2, all_1130_1)
% 73.78/10.70  |          = all_1391_1 & compatible$b(f$, all_1130_1) = all_1391_3 &
% 73.78/10.70  |          register_pair$a(f$, g$) = all_1391_2 & compatible$(f$, g$) =
% 73.78/10.70  |          all_1391_5 &
% 73.78/10.70  |          A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1391_0)
% 73.78/10.70  |          &
% 73.78/10.70  |          A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1391_1)
% 73.78/10.70  |          &
% 73.78/10.70  |          A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1391_2)
% 73.78/10.70  |          & ( ~ (all_1391_3 = 0) |  ~ (all_1391_4 = 0) |  ~ (all_1391_5 = 0) |
% 73.78/10.70  |            all_1391_0 = all_1171_3)
% 73.78/10.70  | 
% 73.78/10.70  | ALPHA: (144) implies:
% 73.78/10.70  |   (145)  compatible$(f$, g$) = all_1391_5
% 73.78/10.70  | 
% 73.78/10.70  | DELTA: instantiating (140) with fresh symbols all_1393_0, all_1393_1,
% 73.78/10.70  |        all_1393_2, all_1393_3, all_1393_4, all_1393_5 gives:
% 73.78/10.70  |   (146)  comp$bd(all_1171_3, assoc$o) = all_1393_2 & compatible$p(g$,
% 73.78/10.70  |            all_1130_1) = all_1393_4 & register_pair$n(all_1393_1, all_1130_1)
% 73.78/10.70  |          = all_1393_0 & compatible$b(f$, all_1130_1) = all_1393_3 &
% 73.78/10.70  |          register_pair$a(f$, g$) = all_1393_1 & compatible$(f$, g$) =
% 73.78/10.70  |          all_1393_5 &
% 73.78/10.70  |          A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1393_0)
% 73.78/10.70  |          &
% 73.78/10.70  |          A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1393_2)
% 73.78/10.70  |          &
% 73.78/10.70  |          A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$(all_1393_1)
% 73.78/10.70  |          & ( ~ (all_1393_3 = 0) |  ~ (all_1393_4 = 0) |  ~ (all_1393_5 = 0) |
% 73.78/10.70  |            all_1393_0 = all_1393_2)
% 73.78/10.70  | 
% 73.78/10.70  | ALPHA: (146) implies:
% 73.78/10.70  |   (147)  compatible$(f$, g$) = all_1393_5
% 73.78/10.70  | 
% 73.78/10.70  | BETA: splitting (139) gives:
% 73.78/10.70  | 
% 73.78/10.70  | Case 1:
% 73.78/10.70  | | 
% 73.78/10.70  | |   (148)  all_1152_0 = 0
% 73.78/10.70  | | 
% 73.78/10.70  | | REDUCE: (29), (148) imply:
% 73.78/10.70  | |   (149)  $false
% 73.78/10.70  | | 
% 73.78/10.70  | | CLOSE: (149) is inconsistent.
% 73.78/10.70  | | 
% 73.78/10.70  | Case 2:
% 73.78/10.70  | | 
% 73.78/10.70  | |   (150)   ? [v0: int] : ( ~ (v0 = 0) & compatible$(f$, g$) = v0)
% 73.78/10.70  | | 
% 73.78/10.70  | | DELTA: instantiating (150) with fresh symbol all_1408_0 gives:
% 73.78/10.70  | |   (151)   ~ (all_1408_0 = 0) & compatible$(f$, g$) = all_1408_0
% 73.78/10.70  | | 
% 73.78/10.70  | | ALPHA: (151) implies:
% 73.78/10.70  | |   (152)   ~ (all_1408_0 = 0)
% 73.78/10.70  | |   (153)  compatible$(f$, g$) = all_1408_0
% 73.78/10.70  | | 
% 73.78/10.70  | | GROUND_INST: instantiating (16) with 0, all_1391_5, g$, f$, simplifying with
% 73.78/10.70  | |              (1), (145) gives:
% 73.78/10.70  | |   (154)  all_1391_5 = 0
% 73.78/10.70  | | 
% 73.78/10.70  | | GROUND_INST: instantiating (16) with all_1391_5, all_1393_5, g$, f$,
% 73.78/10.70  | |              simplifying with (145), (147) gives:
% 73.78/10.70  | |   (155)  all_1393_5 = all_1391_5
% 73.78/10.70  | | 
% 73.78/10.70  | | GROUND_INST: instantiating (16) with all_1393_5, all_1408_0, g$, f$,
% 73.78/10.70  | |              simplifying with (147), (153) gives:
% 73.78/10.70  | |   (156)  all_1408_0 = all_1393_5
% 73.78/10.70  | | 
% 73.78/10.70  | | GROUND_INST: instantiating (16) with all_1360_1, all_1408_0, g$, f$,
% 73.78/10.70  | |              simplifying with (143), (153) gives:
% 73.78/10.70  | |   (157)  all_1408_0 = all_1360_1
% 73.78/10.70  | | 
% 73.78/10.70  | | COMBINE_EQS: (156), (157) imply:
% 73.78/10.70  | |   (158)  all_1393_5 = all_1360_1
% 73.78/10.70  | | 
% 73.78/10.70  | | SIMP: (158) implies:
% 73.78/10.70  | |   (159)  all_1393_5 = all_1360_1
% 73.78/10.70  | | 
% 73.78/10.70  | | COMBINE_EQS: (155), (159) imply:
% 73.78/10.70  | |   (160)  all_1391_5 = all_1360_1
% 73.78/10.70  | | 
% 73.78/10.70  | | SIMP: (160) implies:
% 73.78/10.70  | |   (161)  all_1391_5 = all_1360_1
% 73.78/10.70  | | 
% 73.78/10.70  | | COMBINE_EQS: (154), (161) imply:
% 73.78/10.70  | |   (162)  all_1360_1 = 0
% 73.78/10.70  | | 
% 73.78/10.70  | | SIMP: (162) implies:
% 73.78/10.70  | |   (163)  all_1360_1 = 0
% 73.78/10.70  | | 
% 73.78/10.70  | | COMBINE_EQS: (157), (163) imply:
% 73.78/10.70  | |   (164)  all_1408_0 = 0
% 73.78/10.70  | | 
% 73.78/10.70  | | REDUCE: (152), (164) imply:
% 73.78/10.70  | |   (165)  $false
% 73.78/10.70  | | 
% 73.78/10.70  | | CLOSE: (165) is inconsistent.
% 73.78/10.70  | | 
% 73.78/10.70  | End of split
% 73.78/10.70  | 
% 73.78/10.70  End of proof
% 73.78/10.70  % SZS output end Proof for theBenchmark
% 73.78/10.70  
% 73.78/10.70  10084ms
%------------------------------------------------------------------------------