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Princess---230619.THM-Prf.s

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

% Computer : n013.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 33.02s 5.21s
% Output   : Proof 60.75s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.35  % Computer : n013.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sun Aug 27 14:01:17 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.60  ________       _____
% 0.20/0.60  ___  __ \_________(_)________________________________
% 0.20/0.60  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.20/0.60  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.20/0.60  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.20/0.60  
% 0.20/0.60  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.60  (2023-06-19)
% 0.20/0.60  
% 0.20/0.60  (c) Philipp Rümmer, 2009-2023
% 0.20/0.60  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.60                Amanda Stjerna.
% 0.20/0.60  Free software under BSD-3-Clause.
% 0.20/0.60  
% 0.20/0.60  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.60  
% 0.20/0.60  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.62  Running up to 7 provers in parallel.
% 0.20/0.63  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.63  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.63  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.63  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.63  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.63  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.63  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.50/1.21  Prover 6: Warning: Problem contains reals, using incomplete axiomatisation
% 3.50/1.22  Prover 1: Warning: Problem contains reals, using incomplete axiomatisation
% 3.50/1.22  Prover 0: Warning: Problem contains reals, using incomplete axiomatisation
% 3.50/1.22  Prover 4: Warning: Problem contains reals, using incomplete axiomatisation
% 3.86/1.22  Prover 2: Warning: Problem contains reals, using incomplete axiomatisation
% 3.86/1.22  Prover 5: Warning: Problem contains reals, using incomplete axiomatisation
% 3.86/1.22  Prover 3: Warning: Problem contains reals, using incomplete axiomatisation
% 15.40/2.84  Prover 5: Preprocessing ...
% 15.40/2.84  Prover 2: Preprocessing ...
% 15.40/2.88  Prover 0: Preprocessing ...
% 15.40/2.88  Prover 6: Preprocessing ...
% 15.40/2.88  Prover 3: Preprocessing ...
% 16.16/2.97  Prover 4: Preprocessing ...
% 16.16/2.97  Prover 1: Preprocessing ...
% 32.54/5.13  Prover 5: Constructing countermodel ...
% 33.02/5.20  Prover 5: proved (4560ms)
% 33.02/5.21  
% 33.02/5.21  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 33.02/5.21  
% 33.02/5.21  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 33.63/5.28  Prover 7: Warning: Problem contains reals, using incomplete axiomatisation
% 36.16/5.62  Prover 1: Warning: ignoring some quantifiers
% 37.46/5.78  Prover 3: Warning: ignoring some quantifiers
% 37.93/5.85  Prover 3: Constructing countermodel ...
% 37.93/5.86  Prover 6: Proving ...
% 37.93/5.87  Prover 6: stopped
% 37.93/5.87  Prover 1: Constructing countermodel ...
% 37.93/5.87  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 37.93/5.88  Prover 3: stopped
% 37.93/5.90  Prover 8: Warning: Problem contains reals, using incomplete axiomatisation
% 37.93/5.90  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 38.84/5.98  Prover 10: Warning: Problem contains reals, using incomplete axiomatisation
% 38.84/5.99  Prover 2: Constructing countermodel ...
% 38.84/5.99  Prover 2: stopped
% 38.84/6.01  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 39.51/6.05  Prover 11: Warning: Problem contains reals, using incomplete axiomatisation
% 39.51/6.16  Prover 7: Preprocessing ...
% 44.93/6.79  Prover 4: Warning: ignoring some quantifiers
% 46.79/7.08  Prover 11: Preprocessing ...
% 46.79/7.10  Prover 8: Preprocessing ...
% 47.32/7.11  Prover 10: Preprocessing ...
% 47.32/7.11  Prover 4: Constructing countermodel ...
% 49.67/7.42  Prover 0: Proving ...
% 49.67/7.42  Prover 0: stopped
% 49.67/7.46  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 49.67/7.48  Prover 13: Warning: Problem contains reals, using incomplete axiomatisation
% 54.38/8.08  Prover 7: Warning: ignoring some quantifiers
% 55.11/8.14  Prover 13: Preprocessing ...
% 55.11/8.17  Prover 1: Found proof (size 8)
% 55.11/8.17  Prover 1: proved (7549ms)
% 55.11/8.17  Prover 4: stopped
% 55.56/8.21  Prover 10: Warning: ignoring some quantifiers
% 55.56/8.32  Prover 7: Constructing countermodel ...
% 55.56/8.34  Prover 7: stopped
% 55.56/8.38  Prover 10: Constructing countermodel ...
% 56.94/8.39  Prover 10: stopped
% 57.21/8.47  Prover 8: Warning: ignoring some quantifiers
% 57.21/8.49  Prover 13: stopped
% 57.89/8.57  Prover 8: Constructing countermodel ...
% 57.89/8.59  Prover 8: stopped
% 58.88/8.86  Prover 11: Warning: ignoring some quantifiers
% 59.48/8.99  Prover 11: Constructing countermodel ...
% 59.48/9.00  Prover 11: stopped
% 59.48/9.00  
% 59.48/9.00  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 59.48/9.00  
% 59.48/9.00  % SZS output start Proof for theBenchmark
% 59.48/9.03  Assumptions after simplification:
% 59.48/9.03  ---------------------------------
% 59.48/9.03  
% 59.48/9.03    (axiom2)
% 59.48/9.05    is_unit_register$(empty_var$) = 0 &
% 59.48/9.05    Unit_ell2_unit_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$(empty_var$)
% 59.48/9.05  
% 59.48/9.05    (conjecture1)
% 59.48/9.05    Unit_ell2_unit_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$(empty_var$) &  ? [v0:
% 59.48/9.05      int] : ( ~ (v0 = 0) & is_unit_register$(empty_var$) = v0)
% 59.48/9.05  
% 59.48/9.05    (function-axioms)
% 60.34/9.19     ! [v0: B_ell2_b_ell2_cblinfun$] :  ! [v1: B_ell2_b_ell2_cblinfun$] :  ! [v2:
% 60.34/9.19      B_b_b_complement_domain_prod_ell2_b_b_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.19    :  ! [v3:
% 60.34/9.19      B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.19    :  ! [v4: B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.19      (register_pair$g(v4, v3, v2) = v1) |  ~ (register_pair$g(v4, v3, v2) = v0))
% 60.34/9.19    &  ! [v0: A_ell2_a_ell2_cblinfun$] :  ! [v1: A_ell2_a_ell2_cblinfun$] :  !
% 60.34/9.19    [v2:
% 60.34/9.19      B_b_a_complement_domain_prod_ell2_b_b_a_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.19    :  ! [v3:
% 60.34/9.19      B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 60.34/9.19    :  ! [v4: B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.19      (register_pair$f(v4, v3, v2) = v1) |  ~ (register_pair$f(v4, v3, v2) = v0))
% 60.34/9.19    &  ! [v0: A_ell2_a_ell2_cblinfun$] :  ! [v1: A_ell2_a_ell2_cblinfun$] :  !
% 60.34/9.19    [v2:
% 60.34/9.19      A_a_a_complement_domain_prod_ell2_a_a_a_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.19    :  ! [v3:
% 60.34/9.19      A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 60.34/9.19    :  ! [v4: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.19      (register_pair$e(v4, v3, v2) = v1) |  ~ (register_pair$e(v4, v3, v2) = v0))
% 60.34/9.19    &  ! [v0: $real] :  ! [v1: $real] :  ! [v2: $real] :  ! [v3: $real] : (v1 = v0
% 60.34/9.19      |  ~ (real_$quotient(v3, v2) = v1) |  ~ (real_$quotient(v3, v2) = v0)) &  !
% 60.34/9.19    [v0: $real] :  ! [v1: $real] :  ! [v2: $real] :  ! [v3: $real] : (v1 = v0 |  ~
% 60.34/9.19      (real_$sum(v3, v2) = v1) |  ~ (real_$sum(v3, v2) = v0)) &  ! [v0:
% 60.34/9.19      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $real] :  ! [v3:
% 60.34/9.19      $real] : (v1 = v0 |  ~ (real_$greatereq(v3, v2) = v1) |  ~
% 60.34/9.19      (real_$greatereq(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 60.34/9.19      MultipleValueBool] :  ! [v2: $real] :  ! [v3: $real] : (v1 = v0 |  ~
% 60.34/9.19      (real_$greater(v3, v2) = v1) |  ~ (real_$greater(v3, v2) = v0)) &  ! [v0:
% 60.34/9.19      $real] :  ! [v1: $real] :  ! [v2: $real] :  ! [v3: $real] : (v1 = v0 |  ~
% 60.34/9.19      (real_$difference(v3, v2) = v1) |  ~ (real_$difference(v3, v2) = v0)) &  !
% 60.34/9.19    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: Complex$] :  !
% 60.34/9.19    [v3: Complex$] : (v1 = v0 |  ~ (less$(v3, v2) = v1) |  ~ (less$(v3, v2) = v0))
% 60.34/9.19    &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $real] : 
% 60.34/9.19    ! [v3: $real] : (v1 = v0 |  ~ (real_$less(v3, v2) = v1) |  ~ (real_$less(v3,
% 60.34/9.19          v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 60.34/9.19    ! [v2: Complex_complex_cblinfun$] :  ! [v3: Complex_complex_cblinfun$] : (v1 =
% 60.34/9.19      v0 |  ~ (less_eq$a(v3, v2) = v1) |  ~ (less_eq$a(v3, v2) = v0)) &  ! [v0:
% 60.34/9.19      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $real] :  ! [v3:
% 60.34/9.19      $real] : (v1 = v0 |  ~ (real_$lesseq(v3, v2) = v1) |  ~ (real_$lesseq(v3,
% 60.34/9.19          v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 60.34/9.19    ! [v2: Complex$] :  ! [v3: Complex$] : (v1 = v0 |  ~ (less_eq$(v3, v2) = v1) |
% 60.34/9.19       ~ (less_eq$(v3, v2) = v0)) &  ! [v0:
% 60.34/9.19      B_a_prod_a_b_complement_domain_prod_ell2_b_a_prod_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.19    :  ! [v1:
% 60.34/9.19      B_a_prod_a_b_complement_domain_prod_ell2_b_a_prod_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.19    :  ! [v2: A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] : 
% 60.34/9.19    ! [v3: B_a_prod_ell2_b_a_prod_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$v(v3,
% 60.34/9.19          v2) = v1) |  ~ (tensor_op$v(v3, v2) = v0)) &  ! [v0:
% 60.34/9.19      B_a_prod_a_b_complement_domain_prod_ell2_b_a_a_b_complement_domain_prod_prod_ell2_cblinfun$]
% 60.34/9.19    :  ! [v1:
% 60.34/9.19      B_a_prod_a_b_complement_domain_prod_ell2_b_a_a_b_complement_domain_prod_prod_ell2_cblinfun$]
% 60.34/9.19    :  ! [v2:
% 60.34/9.19      B_a_prod_a_b_complement_domain_prod_ell2_b_a_prod_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.19    :  ! [v3:
% 60.34/9.19      B_a_prod_a_b_complement_domain_prod_ell2_b_a_a_b_complement_domain_prod_prod_ell2_cblinfun$]
% 60.34/9.19    : (v1 = v0 |  ~ (cblinfun_compose$i(v3, v2) = v1) |  ~ (cblinfun_compose$i(v3,
% 60.34/9.19          v2) = v0)) &  ! [v0:
% 60.34/9.19      B_a_a_b_complement_domain_prod_prod_ell2_b_a_a_b_complement_domain_prod_prod_ell2_cblinfun$]
% 60.34/9.19    :  ! [v1:
% 60.34/9.19      B_a_a_b_complement_domain_prod_prod_ell2_b_a_a_b_complement_domain_prod_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      B_a_a_b_complement_domain_prod_prod_ell2_b_a_prod_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      B_a_prod_a_b_complement_domain_prod_ell2_b_a_a_b_complement_domain_prod_prod_ell2_cblinfun$]
% 60.34/9.20    : (v1 = v0 |  ~ (cblinfun_compose$h(v3, v2) = v1) |  ~ (cblinfun_compose$h(v3,
% 60.34/9.20          v2) = v0)) &  ! [v0:
% 60.34/9.20      B_a_a_b_complement_domain_prod_prod_ell2_b_a_a_b_complement_domain_prod_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      B_a_a_b_complement_domain_prod_prod_ell2_b_a_a_b_complement_domain_prod_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v3: B_ell2_b_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$u(v3, v2) = v1)
% 60.34/9.20      |  ~ (tensor_op$u(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_a_prod_a_b_complement_domain_prod_ell2_a_a_prod_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      A_a_prod_a_b_complement_domain_prod_ell2_a_a_prod_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v2: A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] : 
% 60.34/9.20    ! [v3: A_a_prod_ell2_a_a_prod_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$t(v3,
% 60.34/9.20          v2) = v1) |  ~ (tensor_op$t(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_a_prod_a_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      A_a_prod_a_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      A_a_prod_a_b_complement_domain_prod_ell2_a_a_prod_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      A_a_prod_a_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_prod_ell2_cblinfun$]
% 60.34/9.20    : (v1 = v0 |  ~ (cblinfun_compose$g(v3, v2) = v1) |  ~ (cblinfun_compose$g(v3,
% 60.34/9.20          v2) = v0)) &  ! [v0:
% 60.34/9.20      A_a_a_b_complement_domain_prod_prod_ell2_a_a_a_b_complement_domain_prod_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      A_a_a_b_complement_domain_prod_prod_ell2_a_a_a_b_complement_domain_prod_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      A_a_a_b_complement_domain_prod_prod_ell2_a_a_prod_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      A_a_prod_a_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_prod_ell2_cblinfun$]
% 60.34/9.20    : (v1 = v0 |  ~ (cblinfun_compose$f(v3, v2) = v1) |  ~ (cblinfun_compose$f(v3,
% 60.34/9.20          v2) = v0)) &  ! [v0:
% 60.34/9.20      A_a_a_b_complement_domain_prod_prod_ell2_a_a_a_b_complement_domain_prod_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      A_a_a_b_complement_domain_prod_prod_ell2_a_a_a_b_complement_domain_prod_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v3: A_ell2_a_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$s(v3, v2) = v1)
% 60.34/9.20      |  ~ (tensor_op$s(v3, v2) = v0)) &  ! [v0: $real] :  ! [v1: $real] :  ! [v2:
% 60.34/9.20      $real] :  ! [v3: $real] : (v1 = v0 |  ~ (times$a(v3, v2) = v1) |  ~
% 60.34/9.20      (times$a(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      Complex_complex_complex_prod_complex_complex_prod_fun_fun$] :  ! [v1:
% 60.34/9.20      Complex_complex_complex_prod_complex_complex_prod_fun_fun$] :  ! [v2:
% 60.34/9.20      Complex_complex_complex_fun_fun$] :  ! [v3:
% 60.34/9.20      Complex_complex_complex_fun_fun$] : (v1 = v0 |  ~ (scale$(v3, v2) = v1) |  ~
% 60.34/9.20      (scale$(v3, v2) = v0)) &  ! [v0: Complex_complex_prod$] :  ! [v1:
% 60.34/9.20      Complex_complex_prod$] :  ! [v2: Complex$] :  ! [v3: Complex$] : (v1 = v0 | 
% 60.34/9.20      ~ (pair$e(v3, v2) = v1) |  ~ (pair$e(v3, v2) = v0)) &  ! [v0: $real] :  !
% 60.34/9.20    [v1: $real] :  ! [v2: $real] :  ! [v3: $real] : (v1 = v0 |  ~
% 60.34/9.20      (real_$product(v3, v2) = v1) |  ~ (real_$product(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_a_b_complement_domain_prod$] :  ! [v1: A_a_b_complement_domain_prod$] :  !
% 60.34/9.20    [v2: A_b_complement_domain$] :  ! [v3: A$] : (v1 = v0 |  ~ (pair$d(v3, v2) =
% 60.34/9.20        v1) |  ~ (pair$d(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_a_prod_ell2_a_b_prod_ell2_cblinfun$] :  ! [v1:
% 60.34/9.20      A_a_prod_ell2_a_b_prod_ell2_cblinfun$] :  ! [v2: A_ell2_b_ell2_cblinfun$] : 
% 60.34/9.20    ! [v3: A_ell2_a_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$r(v3, v2) = v1) | 
% 60.34/9.20      ~ (tensor_op$r(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_a_prod_ell2_a_b_prod_ell2_cblinfun$] :  ! [v1:
% 60.34/9.20      A_a_prod_ell2_a_b_prod_ell2_cblinfun$] :  ! [v2: A_a_prod_ell2$] :  ! [v3:
% 60.34/9.20      A_b_prod_ell2$] : (v1 = v0 |  ~ (butterfly$x(v3, v2) = v1) |  ~
% 60.34/9.20      (butterfly$x(v3, v2) = v0)) &  ! [v0: A_b_prod_ell2_a_a_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v1: A_b_prod_ell2_a_a_prod_ell2_cblinfun$] :  ! [v2:
% 60.34/9.20      B_ell2_a_ell2_cblinfun$] :  ! [v3: A_ell2_a_ell2_cblinfun$] : (v1 = v0 |  ~
% 60.34/9.20      (tensor_op$q(v3, v2) = v1) |  ~ (tensor_op$q(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_b_prod_ell2_a_a_prod_ell2_cblinfun$] :  ! [v1:
% 60.34/9.20      A_b_prod_ell2_a_a_prod_ell2_cblinfun$] :  ! [v2: A_b_prod_ell2$] :  ! [v3:
% 60.34/9.20      A_a_prod_ell2$] : (v1 = v0 |  ~ (butterfly$w(v3, v2) = v1) |  ~
% 60.34/9.20      (butterfly$w(v3, v2) = v0)) &  ! [v0: A_b_prod_ell2_b_b_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v1: A_b_prod_ell2_b_b_prod_ell2_cblinfun$] :  ! [v2:
% 60.34/9.20      B_ell2_b_ell2_cblinfun$] :  ! [v3: A_ell2_b_ell2_cblinfun$] : (v1 = v0 |  ~
% 60.34/9.20      (tensor_op$p(v3, v2) = v1) |  ~ (tensor_op$p(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_b_prod_ell2_b_b_prod_ell2_cblinfun$] :  ! [v1:
% 60.34/9.20      A_b_prod_ell2_b_b_prod_ell2_cblinfun$] :  ! [v2: A_b_prod_ell2$] :  ! [v3:
% 60.34/9.20      B_b_prod_ell2$] : (v1 = v0 |  ~ (butterfly$v(v3, v2) = v1) |  ~
% 60.34/9.20      (butterfly$v(v3, v2) = v0)) &  ! [v0: B_b_prod_ell2_a_b_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v1: B_b_prod_ell2_a_b_prod_ell2_cblinfun$] :  ! [v2:
% 60.34/9.20      B_ell2_b_ell2_cblinfun$] :  ! [v3: B_ell2_a_ell2_cblinfun$] : (v1 = v0 |  ~
% 60.34/9.20      (tensor_op$o(v3, v2) = v1) |  ~ (tensor_op$o(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      B_b_prod_ell2_a_b_prod_ell2_cblinfun$] :  ! [v1:
% 60.34/9.20      B_b_prod_ell2_a_b_prod_ell2_cblinfun$] :  ! [v2: B_b_prod_ell2$] :  ! [v3:
% 60.34/9.20      A_b_prod_ell2$] : (v1 = v0 |  ~ (butterfly$u(v3, v2) = v1) |  ~
% 60.34/9.20      (butterfly$u(v3, v2) = v0)) &  ! [v0: A_a_prod_ell2_b_a_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v1: A_a_prod_ell2_b_a_prod_ell2_cblinfun$] :  ! [v2:
% 60.34/9.20      A_ell2_a_ell2_cblinfun$] :  ! [v3: A_ell2_b_ell2_cblinfun$] : (v1 = v0 |  ~
% 60.34/9.20      (tensor_op$n(v3, v2) = v1) |  ~ (tensor_op$n(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_a_prod_ell2_b_a_prod_ell2_cblinfun$] :  ! [v1:
% 60.34/9.20      A_a_prod_ell2_b_a_prod_ell2_cblinfun$] :  ! [v2: A_a_prod_ell2$] :  ! [v3:
% 60.34/9.20      B_a_prod_ell2$] : (v1 = v0 |  ~ (butterfly$t(v3, v2) = v1) |  ~
% 60.34/9.20      (butterfly$t(v3, v2) = v0)) &  ! [v0: B_a_prod_ell2_a_a_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v1: B_a_prod_ell2_a_a_prod_ell2_cblinfun$] :  ! [v2:
% 60.34/9.20      A_ell2_a_ell2_cblinfun$] :  ! [v3: B_ell2_a_ell2_cblinfun$] : (v1 = v0 |  ~
% 60.34/9.20      (tensor_op$m(v3, v2) = v1) |  ~ (tensor_op$m(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      B_a_prod_ell2_a_a_prod_ell2_cblinfun$] :  ! [v1:
% 60.34/9.20      B_a_prod_ell2_a_a_prod_ell2_cblinfun$] :  ! [v2: B_a_prod_ell2$] :  ! [v3:
% 60.34/9.20      A_a_prod_ell2$] : (v1 = v0 |  ~ (butterfly$s(v3, v2) = v1) |  ~
% 60.34/9.20      (butterfly$s(v3, v2) = v0)) &  ! [v0: A_a_prod_ell2_b_b_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v1: A_a_prod_ell2_b_b_prod_ell2_cblinfun$] :  ! [v2:
% 60.34/9.20      A_ell2_b_ell2_cblinfun$] :  ! [v3: A_ell2_b_ell2_cblinfun$] : (v1 = v0 |  ~
% 60.34/9.20      (tensor_op$l(v3, v2) = v1) |  ~ (tensor_op$l(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_a_prod_ell2_b_b_prod_ell2_cblinfun$] :  ! [v1:
% 60.34/9.20      A_a_prod_ell2_b_b_prod_ell2_cblinfun$] :  ! [v2: A_a_prod_ell2$] :  ! [v3:
% 60.34/9.20      B_b_prod_ell2$] : (v1 = v0 |  ~ (butterfly$r(v3, v2) = v1) |  ~
% 60.34/9.20      (butterfly$r(v3, v2) = v0)) &  ! [v0: A_b_prod_ell2_b_a_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v1: A_b_prod_ell2_b_a_prod_ell2_cblinfun$] :  ! [v2:
% 60.34/9.20      B_ell2_a_ell2_cblinfun$] :  ! [v3: A_ell2_b_ell2_cblinfun$] : (v1 = v0 |  ~
% 60.34/9.20      (tensor_op$k(v3, v2) = v1) |  ~ (tensor_op$k(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_b_prod_ell2_b_a_prod_ell2_cblinfun$] :  ! [v1:
% 60.34/9.20      A_b_prod_ell2_b_a_prod_ell2_cblinfun$] :  ! [v2: A_b_prod_ell2$] :  ! [v3:
% 60.34/9.20      B_a_prod_ell2$] : (v1 = v0 |  ~ (butterfly$q(v3, v2) = v1) |  ~
% 60.34/9.20      (butterfly$q(v3, v2) = v0)) &  ! [v0: A_ell2_b_ell2_cblinfun$] :  ! [v1:
% 60.34/9.20      A_ell2_b_ell2_cblinfun$] :  ! [v2: A_ell2$] :  ! [v3: B_ell2$] : (v1 = v0 | 
% 60.34/9.20      ~ (butterfly$o(v3, v2) = v1) |  ~ (butterfly$o(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      B_a_prod_ell2_a_b_prod_ell2_cblinfun$] :  ! [v1:
% 60.34/9.20      B_a_prod_ell2_a_b_prod_ell2_cblinfun$] :  ! [v2: A_ell2_b_ell2_cblinfun$] : 
% 60.34/9.20    ! [v3: B_ell2_a_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$j(v3, v2) = v1) | 
% 60.34/9.20      ~ (tensor_op$j(v3, v2) = v0)) &  ! [v0: A_b_prod$] :  ! [v1: A_b_prod$] :  !
% 60.34/9.20    [v2: B$] :  ! [v3: A$] : (v1 = v0 |  ~ (pair$b(v3, v2) = v1) |  ~ (pair$b(v3,
% 60.34/9.20          v2) = v0)) &  ! [v0: B_a_prod$] :  ! [v1: B_a_prod$] :  ! [v2: A$] :  !
% 60.34/9.20    [v3: B$] : (v1 = v0 |  ~ (pair$c(v3, v2) = v1) |  ~ (pair$c(v3, v2) = v0)) & 
% 60.34/9.20    ! [v0: B_a_prod_ell2_a_b_prod_ell2_cblinfun$] :  ! [v1:
% 60.34/9.20      B_a_prod_ell2_a_b_prod_ell2_cblinfun$] :  ! [v2: B_a_prod_ell2$] :  ! [v3:
% 60.34/9.20      A_b_prod_ell2$] : (v1 = v0 |  ~ (butterfly$p(v3, v2) = v1) |  ~
% 60.34/9.20      (butterfly$p(v3, v2) = v0)) &  ! [v0: B_ell2_a_ell2_cblinfun$] :  ! [v1:
% 60.34/9.20      B_ell2_a_ell2_cblinfun$] :  ! [v2: B_ell2$] :  ! [v3: A_ell2$] : (v1 = v0 | 
% 60.34/9.20      ~ (butterfly$m(v3, v2) = v1) |  ~ (butterfly$m(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      B_b_prod_ell2_a_a_prod_ell2_cblinfun$] :  ! [v1:
% 60.34/9.20      B_b_prod_ell2_a_a_prod_ell2_cblinfun$] :  ! [v2: B_ell2_a_ell2_cblinfun$] : 
% 60.34/9.20    ! [v3: B_ell2_a_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$i(v3, v2) = v1) | 
% 60.34/9.20      ~ (tensor_op$i(v3, v2) = v0)) &  ! [v0: A_a_prod$] :  ! [v1: A_a_prod$] :  !
% 60.34/9.20    [v2: A$] :  ! [v3: A$] : (v1 = v0 |  ~ (pair$(v3, v2) = v1) |  ~ (pair$(v3,
% 60.34/9.20          v2) = v0)) &  ! [v0: B_b_prod$] :  ! [v1: B_b_prod$] :  ! [v2: B$] :  !
% 60.34/9.20    [v3: B$] : (v1 = v0 |  ~ (pair$a(v3, v2) = v1) |  ~ (pair$a(v3, v2) = v0)) & 
% 60.34/9.20    ! [v0: B_b_prod_ell2_a_a_prod_ell2_cblinfun$] :  ! [v1:
% 60.34/9.20      B_b_prod_ell2_a_a_prod_ell2_cblinfun$] :  ! [v2: B_b_prod_ell2$] :  ! [v3:
% 60.34/9.20      A_a_prod_ell2$] : (v1 = v0 |  ~ (butterfly$n(v3, v2) = v1) |  ~
% 60.34/9.20      (butterfly$n(v3, v2) = v0)) &  ! [v0: A_b_complement_domain_ell2$] :  ! [v1:
% 60.34/9.20      A_b_complement_domain_ell2$] :  ! [v2: A_b_complement_domain_ell2$] :  !
% 60.34/9.20    [v3: A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] : (v1 =
% 60.34/9.20      v0 |  ~ (cblinfun_apply$f(v3, v2) = v1) |  ~ (cblinfun_apply$f(v3, v2) =
% 60.34/9.20        v0)) &  ! [v0: A_a_b_complement_domain_prod_ell2$] :  ! [v1:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2$] :  ! [v2:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2$] :  ! [v3:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    : (v1 = v0 |  ~ (cblinfun_apply$e(v3, v2) = v1) |  ~ (cblinfun_apply$e(v3, v2)
% 60.34/9.20        = v0)) &  ! [v0: B_b_prod_ell2$] :  ! [v1: B_b_prod_ell2$] :  ! [v2:
% 60.34/9.20      B_ell2$] :  ! [v3: B_ell2$] : (v1 = v0 |  ~ (tensor_ell2$d(v3, v2) = v1) | 
% 60.34/9.20      ~ (tensor_ell2$d(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      B_b_prod_ell2_b_b_prod_ell2_cblinfun$] :  ! [v1:
% 60.34/9.20      B_b_prod_ell2_b_b_prod_ell2_cblinfun$] :  ! [v2: B_b_prod_ell2$] :  ! [v3:
% 60.34/9.20      B_b_prod_ell2$] : (v1 = v0 |  ~ (butterfly$l(v3, v2) = v1) |  ~
% 60.34/9.20      (butterfly$l(v3, v2) = v0)) &  ! [v0: B_b_prod_ell2_b_b_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v1: B_b_prod_ell2_b_b_prod_ell2_cblinfun$] :  ! [v2:
% 60.34/9.20      B_ell2_b_ell2_cblinfun$] :  ! [v3: B_ell2_b_ell2_cblinfun$] : (v1 = v0 |  ~
% 60.34/9.20      (tensor_op$h(v3, v2) = v1) |  ~ (tensor_op$h(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      B_a_prod_ell2$] :  ! [v1: B_a_prod_ell2$] :  ! [v2: A_ell2$] :  ! [v3:
% 60.34/9.20      B_ell2$] : (v1 = v0 |  ~ (tensor_ell2$c(v3, v2) = v1) |  ~
% 60.34/9.20      (tensor_ell2$c(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      B_a_prod_ell2_b_a_prod_ell2_cblinfun$] :  ! [v1:
% 60.34/9.20      B_a_prod_ell2_b_a_prod_ell2_cblinfun$] :  ! [v2: B_a_prod_ell2$] :  ! [v3:
% 60.34/9.20      B_a_prod_ell2$] : (v1 = v0 |  ~ (butterfly$k(v3, v2) = v1) |  ~
% 60.34/9.20      (butterfly$k(v3, v2) = v0)) &  ! [v0: B_a_prod_ell2_b_a_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v1: B_a_prod_ell2_b_a_prod_ell2_cblinfun$] :  ! [v2:
% 60.34/9.20      A_ell2_a_ell2_cblinfun$] :  ! [v3: B_ell2_b_ell2_cblinfun$] : (v1 = v0 |  ~
% 60.34/9.20      (tensor_op$g(v3, v2) = v1) |  ~ (tensor_op$g(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_b_prod_ell2$] :  ! [v1: A_b_prod_ell2$] :  ! [v2: B_ell2$] :  ! [v3:
% 60.34/9.20      A_ell2$] : (v1 = v0 |  ~ (tensor_ell2$b(v3, v2) = v1) |  ~
% 60.34/9.20      (tensor_ell2$b(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_b_prod_ell2_a_b_prod_ell2_cblinfun$] :  ! [v1:
% 60.34/9.20      A_b_prod_ell2_a_b_prod_ell2_cblinfun$] :  ! [v2: A_b_prod_ell2$] :  ! [v3:
% 60.34/9.20      A_b_prod_ell2$] : (v1 = v0 |  ~ (butterfly$j(v3, v2) = v1) |  ~
% 60.34/9.20      (butterfly$j(v3, v2) = v0)) &  ! [v0: A_b_prod_ell2_a_b_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v1: A_b_prod_ell2_a_b_prod_ell2_cblinfun$] :  ! [v2:
% 60.34/9.20      B_ell2_b_ell2_cblinfun$] :  ! [v3: A_ell2_a_ell2_cblinfun$] : (v1 = v0 |  ~
% 60.34/9.20      (tensor_op$f(v3, v2) = v1) |  ~ (tensor_op$f(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_a_prod_ell2_a_a_prod_ell2_cblinfun$] :  ! [v1:
% 60.34/9.20      A_a_prod_ell2_a_a_prod_ell2_cblinfun$] :  ! [v2: A_ell2_a_ell2_cblinfun$] : 
% 60.34/9.20    ! [v3: A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$] : (v1
% 60.34/9.20      = v0 |  ~ (fun_app$ak(v3, v2) = v1) |  ~ (fun_app$ak(v3, v2) = v0)) &  !
% 60.34/9.20    [v0: A_a_prod_ell2$] :  ! [v1: A_a_prod_ell2$] :  ! [v2: A_ell2$] :  ! [v3:
% 60.34/9.20      A_ell2$] : (v1 = v0 |  ~ (tensor_ell2$a(v3, v2) = v1) |  ~
% 60.34/9.20      (tensor_ell2$a(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_a_prod_ell2_a_a_prod_ell2_cblinfun$] :  ! [v1:
% 60.34/9.20      A_a_prod_ell2_a_a_prod_ell2_cblinfun$] :  ! [v2: A_a_prod_ell2$] :  ! [v3:
% 60.34/9.20      A_a_prod_ell2$] : (v1 = v0 |  ~ (butterfly$i(v3, v2) = v1) |  ~
% 60.34/9.20      (butterfly$i(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] :  ! [v1:
% 60.34/9.20      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] :  ! [v2:
% 60.34/9.20      A_b_complement_domain_ell2$] :  ! [v3: A_b_complement_domain_ell2$] : (v1 =
% 60.34/9.20      v0 |  ~ (butterfly$h(v3, v2) = v1) |  ~ (butterfly$h(v3, v2) = v0)) &  !
% 60.34/9.20    [v0: A_a_b_complement_domain_prod_ell2$] :  ! [v1:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2$] :  ! [v2: A_b_complement_domain_ell2$] :
% 60.34/9.20     ! [v3: A_ell2$] : (v1 = v0 |  ~ (tensor_ell2$(v3, v2) = v1) |  ~
% 60.34/9.20      (tensor_ell2$(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v2: A_a_b_complement_domain_prod_ell2$] :  ! [v3:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2$] : (v1 = v0 |  ~ (butterfly$g(v3, v2) =
% 60.34/9.20        v1) |  ~ (butterfly$g(v3, v2) = v0)) &  ! [v0: B_ell2$] :  ! [v1: B_ell2$]
% 60.34/9.20    :  ! [v2: A_ell2$] :  ! [v3: A_ell2_b_ell2_cblinfun$] : (v1 = v0 |  ~
% 60.34/9.20      (cblinfun_apply$c(v3, v2) = v1) |  ~ (cblinfun_apply$c(v3, v2) = v0)) &  !
% 60.34/9.20    [v0: A_ell2$] :  ! [v1: A_ell2$] :  ! [v2: B_ell2$] :  ! [v3:
% 60.34/9.20      B_ell2_a_ell2_cblinfun$] : (v1 = v0 |  ~ (cblinfun_apply$d(v3, v2) = v1) | 
% 60.34/9.20      ~ (cblinfun_apply$d(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    : (v1 = v0 |  ~ (cblinfun_compose$d(v3, v2) = v1) |  ~ (cblinfun_compose$d(v3,
% 60.34/9.20          v2) = v0)) &  ! [v0: Complex_b_ell2_cblinfun$] :  ! [v1:
% 60.34/9.20      Complex_b_ell2_cblinfun$] :  ! [v2: Complex$] :  ! [v3: B_ell2$] : (v1 = v0
% 60.34/9.20      |  ~ (butterfly$e(v3, v2) = v1) |  ~ (butterfly$e(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      B_ell2_complex_cblinfun$] :  ! [v1: B_ell2_complex_cblinfun$] :  ! [v2:
% 60.34/9.20      B_ell2$] :  ! [v3: Complex$] : (v1 = v0 |  ~ (butterfly$f(v3, v2) = v1) |  ~
% 60.34/9.20      (butterfly$f(v3, v2) = v0)) &  ! [v0: B_ell2_b_ell2_cblinfun$] :  ! [v1:
% 60.34/9.20      B_ell2_b_ell2_cblinfun$] :  ! [v2: B_ell2_complex_cblinfun$] :  ! [v3:
% 60.34/9.20      Complex_b_ell2_cblinfun$] : (v1 = v0 |  ~ (cblinfun_compose$c(v3, v2) = v1)
% 60.34/9.20      |  ~ (cblinfun_compose$c(v3, v2) = v0)) &  ! [v0: Complex_a_ell2_cblinfun$]
% 60.34/9.20    :  ! [v1: Complex_a_ell2_cblinfun$] :  ! [v2: Complex$] :  ! [v3: A_ell2$] :
% 60.34/9.20    (v1 = v0 |  ~ (butterfly$c(v3, v2) = v1) |  ~ (butterfly$c(v3, v2) = v0)) &  !
% 60.34/9.20    [v0: A_ell2_complex_cblinfun$] :  ! [v1: A_ell2_complex_cblinfun$] :  ! [v2:
% 60.34/9.20      A_ell2$] :  ! [v3: Complex$] : (v1 = v0 |  ~ (butterfly$d(v3, v2) = v1) |  ~
% 60.34/9.20      (butterfly$d(v3, v2) = v0)) &  ! [v0: A_ell2_a_ell2_cblinfun$] :  ! [v1:
% 60.34/9.20      A_ell2_a_ell2_cblinfun$] :  ! [v2: A_ell2_complex_cblinfun$] :  ! [v3:
% 60.34/9.20      Complex_a_ell2_cblinfun$] : (v1 = v0 |  ~ (cblinfun_compose$b(v3, v2) = v1)
% 60.34/9.20      |  ~ (cblinfun_compose$b(v3, v2) = v0)) &  ! [v0: B_ell2_b_ell2_cblinfun$] :
% 60.34/9.20     ! [v1: B_ell2_b_ell2_cblinfun$] :  ! [v2:
% 60.34/9.20      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] :  ! [v3:
% 60.34/9.20      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (fun_app$aj(v3, v2) = v1) |  ~ (fun_app$aj(v3, v2) = v0)) &  !
% 60.34/9.20    [v0:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.20      (register_pair$h(v3, v2) = v1) |  ~ (register_pair$h(v3, v2) = v0)) &  !
% 60.34/9.20    [v0: A_ell2_a_ell2_cblinfun$] :  ! [v1: A_ell2_a_ell2_cblinfun$] :  ! [v2:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (fun_app$ai(v3, v2) = v1) |  ~ (fun_app$ai(v3, v2) = v0)) &  !
% 60.34/9.20    [v0: Complex_complex_cblinfun$] :  ! [v1: Complex_complex_cblinfun$] :  ! [v2:
% 60.34/9.20      Complex$] :  ! [v3: Complex$] : (v1 = v0 |  ~ (butterfly$b(v3, v2) = v1) | 
% 60.34/9.20      ~ (butterfly$b(v3, v2) = v0)) &  ! [v0: Complex$] :  ! [v1: Complex$] :  !
% 60.34/9.20    [v2: B_ell2$] :  ! [v3: B_ell2$] : (v1 = v0 |  ~ (cinner$a(v3, v2) = v1) |  ~
% 60.34/9.20      (cinner$a(v3, v2) = v0)) &  ! [v0: B_ell2$] :  ! [v1: B_ell2$] :  ! [v2:
% 60.34/9.20      B_ell2$] :  ! [v3: B_ell2_b_ell2_cblinfun$] : (v1 = v0 |  ~
% 60.34/9.20      (cblinfun_apply$b(v3, v2) = v1) |  ~ (cblinfun_apply$b(v3, v2) = v0)) &  !
% 60.34/9.20    [v0: Complex$] :  ! [v1: Complex$] :  ! [v2: A_ell2$] :  ! [v3: A_ell2$] : (v1
% 60.34/9.20      = v0 |  ~ (cinner$(v3, v2) = v1) |  ~ (cinner$(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_ell2$] :  ! [v1: A_ell2$] :  ! [v2: A_ell2$] :  ! [v3:
% 60.34/9.20      A_ell2_a_ell2_cblinfun$] : (v1 = v0 |  ~ (cblinfun_apply$a(v3, v2) = v1) | 
% 60.34/9.20      ~ (cblinfun_apply$a(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      B_b_b_complement_domain_prod_ell2_b_b_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      B_b_b_complement_domain_prod_ell2_b_b_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v2: B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun$] : 
% 60.34/9.20    ! [v3: B_ell2_b_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$d(v3, v2) = v1) | 
% 60.34/9.20      ~ (tensor_op$d(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      B_b_a_complement_domain_prod_ell2_b_b_a_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      B_b_a_complement_domain_prod_ell2_b_b_a_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v2: B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun$] : 
% 60.34/9.20    ! [v3: B_ell2_b_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$c(v3, v2) = v1) | 
% 60.34/9.20      ~ (tensor_op$c(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_a_a_complement_domain_prod_ell2_a_a_a_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      A_a_a_complement_domain_prod_ell2_a_a_a_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v2: A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun$] : 
% 60.34/9.20    ! [v3: A_ell2_a_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$b(v3, v2) = v1) | 
% 60.34/9.20      ~ (tensor_op$b(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v2: A_ell2_a_ell2_cblinfun$] :  ! [v3:
% 60.34/9.20      A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (fun_app$ah(v3, v2) = v1) |  ~ (fun_app$ah(v3, v2) = v0)) &  !
% 60.34/9.20    [v0:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v2: A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] : 
% 60.34/9.20    ! [v3:
% 60.34/9.20      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (fun_app$ag(v3, v2) = v1) |  ~ (fun_app$ag(v3, v2) = v0)) &  !
% 60.34/9.20    [v0: A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  !
% 60.34/9.20    [v1: A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  !
% 60.34/9.20    [v2: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.20      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.20      (register_pair$d(v3, v2) = v1) |  ~ (register_pair$d(v3, v2) = v0)) &  !
% 60.34/9.20    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.20      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.20      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.20      (compatible$d(v3, v2) = v1) |  ~ (compatible$d(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      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$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (register_pair$c(v3, v2) = v1) |  ~ (register_pair$c(v3, v2) =
% 60.34/9.20        v0)) &  ! [v0:
% 60.34/9.20      A_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      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$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.20      (register_pair$b(v3, v2) = v1) |  ~ (register_pair$b(v3, v2) = v0)) &  !
% 60.34/9.20    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.20      A_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (complements$v(v3, v2) = v1) |  ~ (complements$v(v3, v2) =
% 60.34/9.20        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.20      A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (compatible$c(v3, v2) = v1) |  ~ (compatible$c(v3, v2) = v0))
% 60.34/9.20    &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.20      A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.20      (compatible$b(v3, v2) = v1) |  ~ (compatible$b(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (comp$aw(v3, v2) = v1) |  ~ (comp$aw(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (comp$av(v3, v2) = v1) |  ~ (comp$av(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v2: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.20      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (register_pair$a(v3, v2) = v1) |  ~ (register_pair$a(v3, v2) =
% 60.34/9.20        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.20      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.20      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (compatible$a(v3, v2) = v1) |  ~ (compatible$a(v3, v2) = v0))
% 60.34/9.20    &  ! [v0: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.20      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.20      A_ell2_a_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (comp$as(v3, v2) = v1) |  ~ (comp$as(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (comp$at(v3, v2) = v1) |  ~ (comp$at(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (comp$au(v3, v2) = v1) |  ~ (comp$au(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (comp$ar(v3, v2) = v1) |  ~ (comp$ar(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.20      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.20      (compatible$(v3, v2) = v1) |  ~ (compatible$(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      B_ell2_b_ell2_cblinfun$] :  ! [v1: B_ell2_b_ell2_cblinfun$] :  ! [v2:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (fun_app$af(v3, v2) = v1) |  ~ (fun_app$af(v3, v2) = v0)) &  !
% 60.34/9.20    [v0:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.20      (register_pair$(v3, v2) = v1) |  ~ (register_pair$(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      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$]
% 60.34/9.20    : (v1 = v0 |  ~ (fun_app$ae(v3, v2) = v1) |  ~ (fun_app$ae(v3, v2) = v0)) &  !
% 60.34/9.20    [v0:
% 60.34/9.20      A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v2: A_ell2_a_ell2_cblinfun$] :  ! [v3:
% 60.34/9.20      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] : (v1 = v0
% 60.34/9.20      |  ~ (tensor_op$a(v3, v2) = v1) |  ~ (tensor_op$a(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      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$]
% 60.34/9.20    : (v1 = v0 |  ~ (fun_app$ad(v3, v2) = v1) |  ~ (fun_app$ad(v3, v2) = v0)) &  !
% 60.34/9.20    [v0:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      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$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.20      (register_tensor$h(v3, v2) = v1) |  ~ (register_tensor$h(v3, v2) = v0)) &  !
% 60.34/9.20    [v0:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      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$]
% 60.34/9.20    : (v1 = v0 |  ~ (fun_app$ac(v3, v2) = v1) |  ~ (fun_app$ac(v3, v2) = v0)) &  !
% 60.34/9.20    [v0:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.20    :  ! [v2: A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] : 
% 60.34/9.20    ! [v3: A_ell2_a_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$(v3, v2) = v1) |  ~
% 60.34/9.20      (tensor_op$(v3, v2) = v0)) &  ! [v0: B_ell2_b_ell2_cblinfun$] :  ! [v1:
% 60.34/9.20      B_ell2_b_ell2_cblinfun$] :  ! [v2: B_ell2$] :  ! [v3: B_ell2$] : (v1 = v0 | 
% 60.34/9.20      ~ (butterfly$a(v3, v2) = v1) |  ~ (butterfly$a(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_ell2_a_ell2_cblinfun$] :  ! [v1: A_ell2_a_ell2_cblinfun$] :  ! [v2:
% 60.34/9.20      A_ell2$] :  ! [v3: A_ell2$] : (v1 = v0 |  ~ (butterfly$(v3, v2) = v1) |  ~
% 60.34/9.20      (butterfly$(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      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$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (register_tensor$g(v3, v2) = v1) |  ~ (register_tensor$g(v3,
% 60.34/9.20          v2) = v0)) &  ! [v0:
% 60.34/9.20      A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v2: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.20      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.20      (register_tensor$f(v3, v2) = v1) |  ~ (register_tensor$f(v3, v2) = v0)) &  !
% 60.34/9.20    [v0:
% 60.34/9.20      B_c_prod_ell2_b_c_prod_ell2_cblinfun_b_c_prod_ell2_b_c_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      B_c_prod_ell2_b_c_prod_ell2_cblinfun_b_c_prod_ell2_b_c_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      B_c_prod_ell2_b_c_prod_ell2_cblinfun_b_c_prod_ell2_b_c_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      B_c_prod_ell2_b_c_prod_ell2_cblinfun_b_c_prod_ell2_b_c_prod_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (comp$aq(v3, v2) = v1) |  ~ (comp$aq(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      B_c_prod_ell2_b_c_prod_ell2_cblinfun_b_c_prod_ell2_b_c_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      B_c_prod_ell2_b_c_prod_ell2_cblinfun_b_c_prod_ell2_b_c_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v2: C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.20      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.20      (register_tensor$e(v3, v2) = v1) |  ~ (register_tensor$e(v3, v2) = v0)) &  !
% 60.34/9.20    [v0:
% 60.34/9.20      C_a_prod_ell2_c_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      C_a_prod_ell2_c_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      C_a_prod_ell2_c_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      C_a_prod_ell2_c_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (comp$ap(v3, v2) = v1) |  ~ (comp$ap(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      C_b_prod_ell2_c_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      C_b_prod_ell2_c_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      C_b_prod_ell2_c_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      C_a_prod_ell2_c_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (comp$ao(v3, v2) = v1) |  ~ (comp$ao(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      C_a_prod_ell2_c_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      C_a_prod_ell2_c_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      C_a_prod_ell2_c_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      C_a_prod_ell2_c_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (comp$an(v3, v2) = v1) |  ~ (comp$an(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      C_b_prod_ell2_c_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      C_b_prod_ell2_c_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      C_b_prod_ell2_c_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      C_a_prod_ell2_c_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (comp$am(v3, v2) = v1) |  ~ (comp$am(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      C_a_prod_ell2_c_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      C_a_prod_ell2_c_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      C_a_prod_ell2_c_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      C_b_prod_ell2_c_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (comp$al(v3, v2) = v1) |  ~ (comp$al(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      C_a_prod_ell2_c_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      C_a_prod_ell2_c_a_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v2: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.20      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.20      (register_tensor$d(v3, v2) = v1) |  ~ (register_tensor$d(v3, v2) = v0)) &  !
% 60.34/9.20    [v0:
% 60.34/9.20      C_b_prod_ell2_c_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      C_b_prod_ell2_c_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      C_b_prod_ell2_c_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      C_b_prod_ell2_c_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (comp$ak(v3, v2) = v1) |  ~ (comp$ak(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      C_b_prod_ell2_c_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      C_b_prod_ell2_c_b_prod_ell2_cblinfun_c_a_prod_ell2_c_a_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v2: B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.20      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.20      (register_tensor$c(v3, v2) = v1) |  ~ (register_tensor$c(v3, v2) = v0)) &  !
% 60.34/9.20    [v0:
% 60.34/9.20      C_a_prod_ell2_c_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      C_a_prod_ell2_c_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v2: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.20      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.20      (register_tensor$b(v3, v2) = v1) |  ~ (register_tensor$b(v3, v2) = v0)) &  !
% 60.34/9.20    [v0:
% 60.34/9.20      C_a_prod_ell2_c_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      C_a_prod_ell2_c_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      C_a_prod_ell2_c_a_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      C_b_prod_ell2_c_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (comp$aj(v3, v2) = v1) |  ~ (comp$aj(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      C_b_prod_ell2_c_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      C_b_prod_ell2_c_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      C_b_prod_ell2_c_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      C_b_prod_ell2_c_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (comp$ai(v3, v2) = v1) |  ~ (comp$ai(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      C_b_prod_ell2_c_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      C_b_prod_ell2_c_b_prod_ell2_cblinfun_c_b_prod_ell2_c_b_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v2: B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.20      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.20      (register_tensor$a(v3, v2) = v1) |  ~ (register_tensor$a(v3, v2) = v0)) &  !
% 60.34/9.20    [v0:
% 60.34/9.20      C_c_prod_ell2_c_c_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      C_c_prod_ell2_c_c_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      C_c_prod_ell2_c_c_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      C_c_prod_ell2_c_c_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (comp$ah(v3, v2) = v1) |  ~ (comp$ah(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      C_c_prod_ell2_c_c_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      C_c_prod_ell2_c_c_prod_ell2_cblinfun_c_c_prod_ell2_c_c_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v2: C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.20      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.20      (register_tensor$(v3, v2) = v1) |  ~ (register_tensor$(v3, v2) = v0)) &  !
% 60.34/9.20    [v0: A_ell2$] :  ! [v1: A_ell2$] :  ! [v2: A_ell2$] :  ! [v3: Complex$] : (v1
% 60.34/9.20      = v0 |  ~ (scaleC$j(v3, v2) = v1) |  ~ (scaleC$j(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      B_ell2$] :  ! [v1: B_ell2$] :  ! [v2: B_ell2$] :  ! [v3: Complex$] : (v1 =
% 60.34/9.20      v0 |  ~ (scaleC$i(v3, v2) = v1) |  ~ (scaleC$i(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      Complex_complex_prod_complex_complex_prod_fun$] :  ! [v1:
% 60.34/9.20      Complex_complex_prod_complex_complex_prod_fun$] :  ! [v2: Complex$] :  !
% 60.34/9.20    [v3: Complex_complex_complex_prod_complex_complex_prod_fun_fun$] : (v1 = v0 | 
% 60.34/9.20      ~ (fun_app$ab(v3, v2) = v1) |  ~ (fun_app$ab(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      Complex_complex_prod$] :  ! [v1: Complex_complex_prod$] :  ! [v2:
% 60.34/9.20      Complex_complex_prod$] :  ! [v3:
% 60.34/9.20      Complex_complex_prod_complex_complex_prod_fun$] : (v1 = v0 |  ~
% 60.34/9.20      (fun_app$aa(v3, v2) = v1) |  ~ (fun_app$aa(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.20      Unit_unit_complement_domain_ell2_unit_unit_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (complements$u(v3, v2) = v1) |  ~ (complements$u(v3, v2) =
% 60.34/9.20        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.20      Unit_unit_complement_domain_ell2_unit_unit_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.20      (complements$t(v3, v2) = v1) |  ~ (complements$t(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.20      Unit_unit_complement_domain_ell2_unit_unit_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3: B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.20      (complements$s(v3, v2) = v1) |  ~ (complements$s(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.20      Unit_unit_complement_domain_ell2_unit_unit_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3: C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.20      (complements$r(v3, v2) = v1) |  ~ (complements$r(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      B_ell2_b_ell2_cblinfun$] :  ! [v1: B_ell2_b_ell2_cblinfun$] :  ! [v2:
% 60.34/9.20      C_ell2_c_ell2_cblinfun$] :  ! [v3:
% 60.34/9.20      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.20      (fun_app$z(v3, v2) = v1) |  ~ (fun_app$z(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      C_ell2_c_ell2_cblinfun$] :  ! [v1: C_ell2_c_ell2_cblinfun$] :  ! [v2:
% 60.34/9.20      B_ell2_b_ell2_cblinfun$] :  ! [v3:
% 60.34/9.20      B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.20      (fun_app$y(v3, v2) = v1) |  ~ (fun_app$y(v3, v2) = v0)) &  ! [v0: Complex$]
% 60.34/9.20    :  ! [v1: Complex$] :  ! [v2: A_ell2_a_ell2_cblinfun$] :  ! [v3:
% 60.34/9.20      A_ell2_a_ell2_cblinfun_complex_fun$] : (v1 = v0 |  ~ (fun_app$x(v3, v2) =
% 60.34/9.20        v1) |  ~ (fun_app$x(v3, v2) = v0)) &  ! [v0: A_ell2_a_ell2_cblinfun$] :  !
% 60.34/9.20    [v1: A_ell2_a_ell2_cblinfun$] :  ! [v2: Complex$] :  ! [v3:
% 60.34/9.20      Complex_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~ (fun_app$w(v3, v2) =
% 60.34/9.20        v1) |  ~ (fun_app$w(v3, v2) = v0)) &  ! [v0: Complex$] :  ! [v1: Complex$]
% 60.34/9.20    :  ! [v2: B_ell2_b_ell2_cblinfun$] :  ! [v3:
% 60.34/9.20      B_ell2_b_ell2_cblinfun_complex_fun$] : (v1 = v0 |  ~ (fun_app$v(v3, v2) =
% 60.34/9.20        v1) |  ~ (fun_app$v(v3, v2) = v0)) &  ! [v0: B_ell2_b_ell2_cblinfun$] :  !
% 60.34/9.20    [v1: B_ell2_b_ell2_cblinfun$] :  ! [v2: Complex$] :  ! [v3:
% 60.34/9.20      Complex_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~ (fun_app$u(v3, v2) =
% 60.34/9.20        v1) |  ~ (fun_app$u(v3, v2) = v0)) &  ! [v0: Complex$] :  ! [v1: Complex$]
% 60.34/9.20    :  ! [v2: C_ell2_c_ell2_cblinfun$] :  ! [v3:
% 60.34/9.20      C_ell2_c_ell2_cblinfun_complex_fun$] : (v1 = v0 |  ~ (fun_app$t(v3, v2) =
% 60.34/9.20        v1) |  ~ (fun_app$t(v3, v2) = v0)) &  ! [v0: C_ell2_c_ell2_cblinfun$] :  !
% 60.34/9.20    [v1: C_ell2_c_ell2_cblinfun$] :  ! [v2: Complex$] :  ! [v3:
% 60.34/9.20      Complex_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~ (fun_app$s(v3, v2) =
% 60.34/9.20        v1) |  ~ (fun_app$s(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.20      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.20      A_ell2_a_ell2_cblinfun_complex_fun$] :  ! [v3:
% 60.34/9.20      Complex_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~ (comp$af(v3, v2) = v1)
% 60.34/9.20      |  ~ (comp$af(v3, v2) = v0)) &  ! [v0: Complex_complex_fun$] :  ! [v1:
% 60.34/9.20      Complex_complex_fun$] :  ! [v2: Complex_a_ell2_a_ell2_cblinfun_fun$] :  !
% 60.34/9.20    [v3: A_ell2_a_ell2_cblinfun_complex_fun$] : (v1 = v0 |  ~ (comp$ag(v3, v2) =
% 60.34/9.20        v1) |  ~ (comp$ag(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.20      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.20      B_ell2_b_ell2_cblinfun_complex_fun$] :  ! [v3:
% 60.34/9.20      Complex_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~ (comp$ad(v3, v2) = v1)
% 60.34/9.20      |  ~ (comp$ad(v3, v2) = v0)) &  ! [v0: Complex_complex_fun$] :  ! [v1:
% 60.34/9.20      Complex_complex_fun$] :  ! [v2: Complex_b_ell2_b_ell2_cblinfun_fun$] :  !
% 60.34/9.20    [v3: B_ell2_b_ell2_cblinfun_complex_fun$] : (v1 = v0 |  ~ (comp$ae(v3, v2) =
% 60.34/9.20        v1) |  ~ (comp$ae(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.20      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.20      C_ell2_c_ell2_cblinfun_complex_fun$] :  ! [v3:
% 60.34/9.20      Complex_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~ (comp$ab(v3, v2) = v1)
% 60.34/9.20      |  ~ (comp$ab(v3, v2) = v0)) &  ! [v0: Complex_complex_fun$] :  ! [v1:
% 60.34/9.20      Complex_complex_fun$] :  ! [v2: Complex_c_ell2_c_ell2_cblinfun_fun$] :  !
% 60.34/9.20    [v3: C_ell2_c_ell2_cblinfun_complex_fun$] : (v1 = v0 |  ~ (comp$ac(v3, v2) =
% 60.34/9.20        v1) |  ~ (comp$ac(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 60.34/9.20      MultipleValueBool] :  ! [v2:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (equivalent_registers$y(v3, v2) = v1) |  ~
% 60.34/9.20      (equivalent_registers$y(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 60.34/9.20    [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.20      B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.20      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.20      (equivalent_registers$x(v3, v2) = v1) |  ~ (equivalent_registers$x(v3, v2) =
% 60.34/9.20        v0)) &  ! [v0: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  !
% 60.34/9.20    [v1: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.20      A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (comp$aa(v3, v2) = v1) |  ~ (comp$aa(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.20      (comp$z(v3, v2) = v1) |  ~ (comp$z(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.20      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    : (v1 = v0 |  ~ (equivalent_registers$w(v3, v2) = v1) |  ~
% 60.34/9.20      (equivalent_registers$w(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3: B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.20      (comp$y(v3, v2) = v1) |  ~ (comp$y(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3: B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.20      (equivalent_registers$v(v3, v2) = v1) |  ~ (equivalent_registers$v(v3, v2) =
% 60.34/9.20        v0)) &  ! [v0:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v1:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v2:
% 60.34/9.20      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.20    :  ! [v3: B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.20      (comp$x(v3, v2) = v1) |  ~ (comp$x(v3, v2) = v0)) &  ! [v0:
% 60.34/9.20      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.20      B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.20      B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.20      (equivalent_registers$u(v3, v2) = v1) |  ~ (equivalent_registers$u(v3, v2) =
% 60.34/9.20        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.20      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.20      B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.20      (equivalent_registers$t(v3, v2) = v1) |  ~ (equivalent_registers$t(v3, v2) =
% 60.34/9.20        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.20      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.20      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.20      (equivalent_registers$s(v3, v2) = v1) |  ~ (equivalent_registers$s(v3, v2) =
% 60.34/9.21        v0)) &  ! [v0:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_fun$] : (v1 = v0 |
% 60.34/9.21       ~ (comp$w(v3, v2) = v1) |  ~ (comp$w(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (comp$v(v3, v2) = v1) |  ~ (comp$v(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (comp$t(v3, v2) = v1) |  ~ (comp$t(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (comp$u(v3, v2) = v1) |  ~ (comp$u(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (comp$r(v3, v2) = v1) |  ~ (comp$r(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (comp$s(v3, v2) = v1) |  ~ (comp$s(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      Complex_complex_fun$] :  ! [v1: Complex_complex_fun$] :  ! [v2:
% 60.34/9.21      Complex_complex_fun$] :  ! [v3:
% 60.34/9.21      Complex_complex_fun_complex_complex_fun_fun$] : (v1 = v0 |  ~ (fun_app$r(v3,
% 60.34/9.21          v2) = v1) |  ~ (fun_app$r(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      Complex_complex_cblinfun$] :  ! [v1: Complex_complex_cblinfun$] :  ! [v2:
% 60.34/9.21      Complex_complex_cblinfun$] :  ! [v3: Complex$] : (v1 = v0 |  ~ (scaleC$f(v3,
% 60.34/9.21          v2) = v1) |  ~ (scaleC$f(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun$] :  ! [v1: Unit_ell2_unit_ell2_cblinfun$] :  !
% 60.34/9.21    [v2: Unit_ell2_unit_ell2_cblinfun$] :  ! [v3:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_fun$] : (v1 = v0 |
% 60.34/9.21       ~ (fun_app$q(v3, v2) = v1) |  ~ (fun_app$q(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      C_ell2_c_ell2_cblinfun$] :  ! [v1: C_ell2_c_ell2_cblinfun$] :  ! [v2:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] :  ! [v3:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (fun_app$p(v3, v2) = v1) |  ~ (fun_app$p(v3, v2) = v0)) &  !
% 60.34/9.21    [v0: A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] :  !
% 60.34/9.21    [v1: A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] :  !
% 60.34/9.21    [v2: A_ell2_a_ell2_cblinfun$] :  ! [v3:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (fun_app$o(v3, v2) = v1) |  ~ (fun_app$o(v3, v2) = v0)) &  !
% 60.34/9.21    [v0: A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] :  !
% 60.34/9.21    [v1: A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] :  !
% 60.34/9.21    [v2: C_ell2_c_ell2_cblinfun$] :  ! [v3:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (fun_app$n(v3, v2) = v1) |  ~ (fun_app$n(v3, v2) = v0)) &  !
% 60.34/9.21    [v0: C_ell2_c_ell2_cblinfun$] :  ! [v1: C_ell2_c_ell2_cblinfun$] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun$] :  ! [v3:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (fun_app$m(v3, v2) = v1) |  ~ (fun_app$m(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      B_ell2_b_ell2_cblinfun$] :  ! [v1: B_ell2_b_ell2_cblinfun$] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun$] :  ! [v3:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (fun_app$l(v3, v2) = v1) |  ~ (fun_app$l(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      A_ell2_a_ell2_cblinfun$] :  ! [v1: A_ell2_a_ell2_cblinfun$] :  ! [v2:
% 60.34/9.21      C_ell2_c_ell2_cblinfun$] :  ! [v3:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (fun_app$k(v3, v2) = v1) |  ~ (fun_app$k(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      A_ell2_a_ell2_cblinfun$] :  ! [v1: A_ell2_a_ell2_cblinfun$] :  ! [v2:
% 60.34/9.21      B_ell2_b_ell2_cblinfun$] :  ! [v3:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (fun_app$j(v3, v2) = v1) |  ~ (fun_app$j(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      B_ell2_b_ell2_cblinfun$] :  ! [v1: B_ell2_b_ell2_cblinfun$] :  ! [v2:
% 60.34/9.21      B_ell2_b_ell2_cblinfun$] :  ! [v3:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (fun_app$i(v3, v2) = v1) |  ~ (fun_app$i(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v3: B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (equivalent_registers$r(v3, v2) = v1) |  ~ (equivalent_registers$r(v3, v2) =
% 60.34/9.21        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v3:
% 60.34/9.21      B_b_prod_ell2_b_b_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (equivalent_registers$q(v3, v2) = v1) |  ~
% 60.34/9.21      (equivalent_registers$q(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 60.34/9.21    [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (equivalent_registers$p(v3, v2) = v1) |  ~ (equivalent_registers$p(v3, v2) =
% 60.34/9.21        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (equivalent_registers$o(v3, v2) = v1) |  ~ (equivalent_registers$o(v3, v2) =
% 60.34/9.21        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_fun$] : (v1 = v0 |
% 60.34/9.21       ~ (equivalent_registers$n(v3, v2) = v1) |  ~ (equivalent_registers$n(v3,
% 60.34/9.21          v2) = v0)) &  ! [v0:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (comp$p(v3, v2) = v1) |  ~ (comp$p(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v1:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v2:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v3: B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (comp$o(v3, v2) = v1) |  ~ (comp$o(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v1:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v2:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v3: B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (comp$n(v3, v2) = v1) |  ~ (comp$n(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v3:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (equivalent_registers$m(v3, v2) = v1) |  ~
% 60.34/9.21      (equivalent_registers$m(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 60.34/9.21    [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v3:
% 60.34/9.21      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$]
% 60.34/9.21    : (v1 = v0 |  ~ (equivalent_registers$l(v3, v2) = v1) |  ~
% 60.34/9.21      (equivalent_registers$l(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 60.34/9.21    [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v3:
% 60.34/9.21      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$]
% 60.34/9.21    : (v1 = v0 |  ~ (equivalent_registers$k(v3, v2) = v1) |  ~
% 60.34/9.21      (equivalent_registers$k(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 60.34/9.21    [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v3:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (equivalent_registers$j(v3, v2) = v1) |  ~
% 60.34/9.21      (equivalent_registers$j(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 60.34/9.21    [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (complements$q(v3, v2) = v1) |  ~ (complements$q(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v3:
% 60.34/9.21      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$]
% 60.34/9.21    : (v1 = v0 |  ~ (equivalent_registers$i(v3, v2) = v1) |  ~
% 60.34/9.21      (equivalent_registers$i(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 60.34/9.21    [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (equivalent_registers$h(v3, v2) = v1) |  ~ (equivalent_registers$h(v3, v2) =
% 60.34/9.21        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (complements$p(v3, v2) = v1) |  ~ (complements$p(v3, v2) =
% 60.34/9.21        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      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$]
% 60.34/9.21    : (v1 = v0 |  ~ (complements$o(v3, v2) = v1) |  ~ (complements$o(v3, v2) =
% 60.34/9.21        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (complements$n(v3, v2) = v1) |  ~ (complements$n(v3, v2) =
% 60.34/9.21        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v3:
% 60.34/9.21      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$]
% 60.34/9.21    : (v1 = v0 |  ~ (complements$m(v3, v2) = v1) |  ~ (complements$m(v3, v2) =
% 60.34/9.21        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (complements$l(v3, v2) = v1) |  ~ (complements$l(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0
% 60.34/9.21      |  ~ (comp$m(v3, v2) = v1) |  ~ (comp$m(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.21      A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.21      A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (comp$l(v3, v2) = v1) |  ~ (comp$l(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (comp$k(v3, v2) = v1) |  ~ (comp$k(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (comp$j(v3, v2) = v1) |  ~ (comp$j(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (comp$i(v3, v2) = v1) |  ~ (comp$i(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (comp$h(v3, v2) = v1) |  ~ (comp$h(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (comp$g(v3, v2) = v1) |  ~ (comp$g(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (comp$f(v3, v2) = v1) |  ~ (comp$f(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v1:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v2:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (comp$e(v3, v2) = v1) |  ~ (comp$e(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (comp$d(v3, v2) = v1) |  ~ (comp$d(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v3:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (comp$c(v3, v2) = v1) |  ~ (comp$c(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v1:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v2:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v3:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (comp$b(v3, v2) = v1) |  ~ (comp$b(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (fun_app$h(v3, v2) = v1) |  ~ (fun_app$h(v3, v2) = v0)) &  !
% 60.34/9.21    [v0: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (comp$(v3, v2) = v1) |  ~ (comp$(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      C_ell2_c_ell2_cblinfun$] :  ! [v1: C_ell2_c_ell2_cblinfun$] :  ! [v2:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun$] :  ! [v3:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (fun_app$f(v3, v2) = v1) |  ~ (fun_app$f(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      C_ell2_c_ell2_cblinfun$] :  ! [v1: C_ell2_c_ell2_cblinfun$] :  ! [v2:
% 60.34/9.21      C_ell2_c_ell2_cblinfun$] :  ! [v3:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (fun_app$g(v3, v2) = v1) |  ~ (fun_app$g(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.21    :  ! [v1:
% 60.34/9.21      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.21    :  ! [v2:
% 60.34/9.21      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.21    :  ! [v3: Complex$] : (v1 = v0 |  ~ (scaleC$c(v3, v2) = v1) |  ~ (scaleC$c(v3,
% 60.34/9.21          v2) = v0)) &  ! [v0:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] :  ! [v1:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] :  ! [v2:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun$] :  ! [v3:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (fun_app$d(v3, v2) = v1) |  ~ (fun_app$d(v3, v2) = v0)) &  !
% 60.34/9.21    [v0: A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] :  !
% 60.34/9.21    [v1: A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] :  !
% 60.34/9.21    [v2: A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] :  !
% 60.34/9.21    [v3:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (fun_app$e(v3, v2) = v1) |  ~ (fun_app$e(v3, v2) = v0)) &  !
% 60.34/9.21    [v0: A_ell2_a_ell2_cblinfun$] :  ! [v1: A_ell2_a_ell2_cblinfun$] :  ! [v2:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun$] :  ! [v3:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (fun_app$b(v3, v2) = v1) |  ~ (fun_app$b(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      A_ell2_a_ell2_cblinfun$] :  ! [v1: A_ell2_a_ell2_cblinfun$] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun$] :  ! [v3:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (fun_app$c(v3, v2) = v1) |  ~ (fun_app$c(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (complements$k(v3, v2) = v1) |  ~ (complements$k(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (complements$j(v3, v2) = v1) |  ~ (complements$j(v3, v2) =
% 60.34/9.21        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (complements$i(v3, v2) = v1) |  ~ (complements$i(v3, v2) =
% 60.34/9.21        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (complements$h(v3, v2) = v1) |  ~ (complements$h(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (complements$g(v3, v2) = v1) |  ~ (complements$g(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (complements$f(v3, v2) = v1) |  ~ (complements$f(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v3:
% 60.34/9.21      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (complements$e(v3, v2) = v1) |  ~ (complements$e(v3, v2) =
% 60.34/9.21        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v3: B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (complements$d(v3, v2) = v1) |  ~ (complements$d(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v3: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (complements$c(v3, v2) = v1) |  ~ (complements$c(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_a_b_complement_domain_a_a_b_complement_domain_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (complements$b(v3, v2) = v1) |  ~ (complements$b(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_b_complement_domain_a_b_complement_domain_prod_ell2_a_b_complement_domain_a_b_complement_domain_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v3:
% 60.34/9.21      A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (complements$a(v3, v2) = v1) |  ~ (complements$a(v3, v2) =
% 60.34/9.21        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (complements$(v3, v2) = v1) |  ~ (complements$(v3, v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (equivalent_registers$g(v3, v2) = v1) |  ~ (equivalent_registers$g(v3, v2) =
% 60.34/9.21        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (equivalent_registers$f(v3, v2) = v1) |  ~ (equivalent_registers$f(v3, v2) =
% 60.34/9.21        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v3: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (equivalent_registers$e(v3, v2) = v1) |  ~ (equivalent_registers$e(v3, v2) =
% 60.34/9.21        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (equivalent_registers$d(v3, v2) = v1) |  ~
% 60.34/9.21      (equivalent_registers$d(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 60.34/9.21    [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v3:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (equivalent_registers$c(v3, v2) = v1) |  ~
% 60.34/9.21      (equivalent_registers$c(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 60.34/9.21    [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v3:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (equivalent_registers$b(v3, v2) = v1) |  ~
% 60.34/9.21      (equivalent_registers$b(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 60.34/9.21    [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v3:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (equivalent_registers$a(v3, v2) = v1) |  ~ (equivalent_registers$a(v3, v2) =
% 60.34/9.21        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v3:
% 60.34/9.21      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (equivalent_registers$(v3, v2) = v1) |  ~
% 60.34/9.21      (equivalent_registers$(v3, v2) = v0)) &  ! [v0: Complex_complex_fun$] :  !
% 60.34/9.21    [v1: Complex_complex_fun$] :  ! [v2: Complex$] :  ! [v3:
% 60.34/9.21      Complex_complex_complex_fun_fun$] : (v1 = v0 |  ~ (fun_app$a(v3, v2) = v1) |
% 60.34/9.21       ~ (fun_app$a(v3, v2) = v0)) &  ! [v0: Complex$] :  ! [v1: Complex$] :  !
% 60.34/9.21    [v2: Complex$] :  ! [v3: Complex_complex_fun$] : (v1 = v0 |  ~ (fun_app$(v3,
% 60.34/9.21          v2) = v1) |  ~ (fun_app$(v3, v2) = v0)) &  ! [v0: MultipleValueBool] : 
% 60.34/9.21    ! [v1: MultipleValueBool] :  ! [v2: $real] : (v1 = v0 |  ~ (real_$is_int(v2) =
% 60.34/9.21        v1) |  ~ (real_$is_int(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 60.34/9.21      MultipleValueBool] :  ! [v2: $real] : (v1 = v0 |  ~ (real_$is_rat(v2) = v1)
% 60.34/9.21      |  ~ (real_$is_rat(v2) = v0)) &  ! [v0: $real] :  ! [v1: $real] :  ! [v2:
% 60.34/9.21      $real] : (v1 = v0 |  ~ (real_$floor(v2) = v1) |  ~ (real_$floor(v2) = v0)) &
% 60.34/9.21     ! [v0: $real] :  ! [v1: $real] :  ! [v2: $real] : (v1 = v0 |  ~
% 60.34/9.21      (real_$ceiling(v2) = v1) |  ~ (real_$ceiling(v2) = v0)) &  ! [v0: $real] : 
% 60.34/9.21    ! [v1: $real] :  ! [v2: $real] : (v1 = v0 |  ~ (real_$truncate(v2) = v1) |  ~
% 60.34/9.21      (real_$truncate(v2) = v0)) &  ! [v0: $real] :  ! [v1: $real] :  ! [v2:
% 60.34/9.21      $real] : (v1 = v0 |  ~ (real_$round(v2) = v1) |  ~ (real_$round(v2) = v0)) &
% 60.34/9.21     ! [v0: int] :  ! [v1: int] :  ! [v2: $real] : (v1 = v0 |  ~ (real_$to_int(v2)
% 60.34/9.21        = v1) |  ~ (real_$to_int(v2) = v0)) &  ! [v0: $rat] :  ! [v1: $rat] :  !
% 60.34/9.21    [v2: $real] : (v1 = v0 |  ~ (real_$to_rat(v2) = v1) |  ~ (real_$to_rat(v2) =
% 60.34/9.21        v0)) &  ! [v0: $real] :  ! [v1: $real] :  ! [v2: $real] : (v1 = v0 |  ~
% 60.34/9.21      (real_$to_real(v2) = v1) |  ~ (real_$to_real(v2) = v0)) &  ! [v0: $real] : 
% 60.34/9.21    ! [v1: $real] :  ! [v2: int] : (v1 = v0 |  ~ (int_$to_real(v2) = v1) |  ~
% 60.34/9.21      (int_$to_real(v2) = v0)) &  ! [v0: $real] :  ! [v1: $real] :  ! [v2: $real]
% 60.34/9.21    : (v1 = v0 |  ~ (real_$uminus(v2) = v1) |  ~ (real_$uminus(v2) = v0)) &  !
% 60.34/9.21    [v0: Complex_complex_fun$] :  ! [v1: Complex_complex_fun$] :  ! [v2: Complex$]
% 60.34/9.21    : (v1 = v0 |  ~ (minus$(v2) = v1) |  ~ (minus$(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      B_ell2_b_ell2_cblinfun$] : (v1 = v0 |  ~ (is_Proj$a(v2) = v1) |  ~
% 60.34/9.21      (is_Proj$a(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 60.34/9.21      MultipleValueBool] :  ! [v2: A_ell2_a_ell2_cblinfun$] : (v1 = v0 |  ~
% 60.34/9.21      (is_Proj$(v2) = v1) |  ~ (is_Proj$(v2) = v0)) &  ! [v0: $real] :  ! [v1:
% 60.34/9.21      $real] :  ! [v2: $real] : (v1 = v0 |  ~ (ln$(v2) = v1) |  ~ (ln$(v2) = v0))
% 60.34/9.21    &  ! [v0: $real] :  ! [v1: $real] :  ! [v2: $real] : (v1 = v0 |  ~ (norm$f(v2)
% 60.34/9.21        = v1) |  ~ (norm$f(v2) = v0)) &  ! [v0: $real] :  ! [v1: $real] :  ! [v2:
% 60.34/9.21      Complex_complex_cblinfun$] : (v1 = v0 |  ~ (norm$e(v2) = v1) |  ~
% 60.34/9.21      (norm$e(v2) = v0)) &  ! [v0: $real] :  ! [v1: $real] :  ! [v2:
% 60.34/9.21      B_ell2_b_ell2_cblinfun$] : (v1 = v0 |  ~ (norm$d(v2) = v1) |  ~ (norm$d(v2)
% 60.34/9.21        = v0)) &  ! [v0: $real] :  ! [v1: $real] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun$] : (v1 = v0 |  ~ (norm$c(v2) = v1) |  ~ (norm$c(v2)
% 60.34/9.21        = v0)) &  ! [v0: $real] :  ! [v1: $real] :  ! [v2: B_ell2$] : (v1 = v0 | 
% 60.34/9.21      ~ (norm$b(v2) = v1) |  ~ (norm$b(v2) = v0)) &  ! [v0: $real] :  ! [v1:
% 60.34/9.21      $real] :  ! [v2: A_ell2$] : (v1 = v0 |  ~ (norm$a(v2) = v1) |  ~ (norm$a(v2)
% 60.34/9.21        = v0)) &  ! [v0: $real] :  ! [v1: $real] :  ! [v2: Complex$] : (v1 = v0 | 
% 60.34/9.21      ~ (norm$(v2) = v1) |  ~ (norm$(v2) = v0)) &  ! [v0: $real] :  ! [v1: $real]
% 60.34/9.21    :  ! [v2: $real] : (v1 = v0 |  ~ (arcosh$(v2) = v1) |  ~ (arcosh$(v2) = v0)) &
% 60.34/9.21     ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      Complex_complex_fun$] : (v1 = v0 |  ~ (clinear$(v2) = v1) |  ~ (clinear$(v2)
% 60.34/9.21        = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      Complex_complex_fun$] : (v1 = v0 |  ~ (antilinear_axioms$(v2) = v1) |  ~
% 60.34/9.21      (antilinear_axioms$(v2) = v0)) &  ! [v0: Complex_complex_cblinfun$] :  !
% 60.34/9.21    [v1: Complex_complex_cblinfun$] :  ! [v2: Complex$] : (v1 = v0 |  ~
% 60.34/9.21      (cblinfun_mult_left$(v2) = v1) |  ~ (cblinfun_mult_left$(v2) = v0)) &  !
% 60.34/9.21    [v0: Complex_complex_cblinfun$] :  ! [v1: Complex_complex_cblinfun$] :  ! [v2:
% 60.34/9.21      Complex$] : (v1 = v0 |  ~ (cblinfun_mult_right$(v2) = v1) |  ~
% 60.34/9.21      (cblinfun_mult_right$(v2) = v0)) &  ! [v0: Complex_complex_cblinfun$] :  !
% 60.34/9.21    [v1: Complex_complex_cblinfun$] :  ! [v2: Complex$] : (v1 = v0 |  ~
% 60.34/9.21      (of_complex$(v2) = v1) |  ~ (of_complex$(v2) = v0)) &  ! [v0:
% 60.34/9.21      Complex_complex_fun$] :  ! [v1: Complex_complex_fun$] :  ! [v2: Complex$] :
% 60.34/9.21    (v1 = v0 |  ~ (times$(v2) = v1) |  ~ (times$(v2) = v0)) &  ! [v0:
% 60.34/9.21      A_b_complement_domain_ell2$] :  ! [v1: A_b_complement_domain_ell2$] :  !
% 60.34/9.21    [v2: A_b_complement_domain$] : (v1 = v0 |  ~ (ket$g(v2) = v1) |  ~ (ket$g(v2)
% 60.34/9.21        = v0)) &  ! [v0: A_a_b_complement_domain_prod_ell2$] :  ! [v1:
% 60.34/9.21      A_a_b_complement_domain_prod_ell2$] :  ! [v2: A_a_b_complement_domain_prod$]
% 60.34/9.21    : (v1 = v0 |  ~ (ket$f(v2) = v1) |  ~ (ket$f(v2) = v0)) &  ! [v0:
% 60.34/9.21      A_b_prod_ell2$] :  ! [v1: A_b_prod_ell2$] :  ! [v2: A_b_prod$] : (v1 = v0 | 
% 60.34/9.21      ~ (ket$d(v2) = v1) |  ~ (ket$d(v2) = v0)) &  ! [v0: B_a_prod_ell2$] :  !
% 60.34/9.21    [v1: B_a_prod_ell2$] :  ! [v2: B_a_prod$] : (v1 = v0 |  ~ (ket$e(v2) = v1) | 
% 60.34/9.21      ~ (ket$e(v2) = v0)) &  ! [v0: A_a_prod_ell2$] :  ! [v1: A_a_prod_ell2$] :  !
% 60.34/9.21    [v2: A_a_prod$] : (v1 = v0 |  ~ (ket$b(v2) = v1) |  ~ (ket$b(v2) = v0)) &  !
% 60.34/9.21    [v0: B_b_prod_ell2$] :  ! [v1: B_b_prod_ell2$] :  ! [v2: B_b_prod$] : (v1 = v0
% 60.34/9.21      |  ~ (ket$c(v2) = v1) |  ~ (ket$c(v2) = v0)) &  ! [v0:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun$] : (v1 = v0 |  ~ (tensor_op$e(v2) = v1) |  ~
% 60.34/9.21      (tensor_op$e(v2) = v0)) &  ! [v0: B_ell2_a_ell2_cblinfun$] :  ! [v1:
% 60.34/9.21      B_ell2_a_ell2_cblinfun$] :  ! [v2: A_ell2_b_ell2_cblinfun$] : (v1 = v0 |  ~
% 60.34/9.21      (adj$h(v2) = v1) |  ~ (adj$h(v2) = v0)) &  ! [v0: A_ell2_b_ell2_cblinfun$] :
% 60.34/9.21     ! [v1: A_ell2_b_ell2_cblinfun$] :  ! [v2: B_ell2_a_ell2_cblinfun$] : (v1 = v0
% 60.34/9.21      |  ~ (adj$g(v2) = v1) |  ~ (adj$g(v2) = v0)) &  ! [v0:
% 60.34/9.21      Complex_complex_cblinfun$] :  ! [v1: Complex_complex_cblinfun$] :  ! [v2:
% 60.34/9.21      Complex_complex_cblinfun$] : (v1 = v0 |  ~ (adj$f(v2) = v1) |  ~ (adj$f(v2)
% 60.34/9.21        = v0)) &  ! [v0:
% 60.34/9.21      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.21    :  ! [v1:
% 60.34/9.21      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.21    :  ! [v2:
% 60.34/9.21      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.21    : (v1 = v0 |  ~ (adj$d(v2) = v1) |  ~ (adj$d(v2) = v0)) &  ! [v0:
% 60.34/9.21      Complex_b_ell2_cblinfun$] :  ! [v1: Complex_b_ell2_cblinfun$] :  ! [v2:
% 60.34/9.21      B_ell2$] : (v1 = v0 |  ~ (vector_to_cblinfun$a(v2) = v1) |  ~
% 60.34/9.21      (vector_to_cblinfun$a(v2) = v0)) &  ! [v0: B_ell2_complex_cblinfun$] :  !
% 60.34/9.21    [v1: B_ell2_complex_cblinfun$] :  ! [v2: Complex_b_ell2_cblinfun$] : (v1 = v0
% 60.34/9.21      |  ~ (adj$c(v2) = v1) |  ~ (adj$c(v2) = v0)) &  ! [v0:
% 60.34/9.21      Complex_a_ell2_cblinfun$] :  ! [v1: Complex_a_ell2_cblinfun$] :  ! [v2:
% 60.34/9.21      A_ell2$] : (v1 = v0 |  ~ (vector_to_cblinfun$(v2) = v1) |  ~
% 60.34/9.21      (vector_to_cblinfun$(v2) = v0)) &  ! [v0: A_ell2_complex_cblinfun$] :  !
% 60.34/9.21    [v1: A_ell2_complex_cblinfun$] :  ! [v2: Complex_a_ell2_cblinfun$] : (v1 = v0
% 60.34/9.21      |  ~ (adj$b(v2) = v1) |  ~ (adj$b(v2) = v0)) &  ! [v0:
% 60.34/9.21      Complex_complex_cblinfun$] :  ! [v1: Complex_complex_cblinfun$] :  ! [v2:
% 60.34/9.21      Complex$] : (v1 = v0 |  ~ (cblinfun_cinner_right$(v2) = v1) |  ~
% 60.34/9.21      (cblinfun_cinner_right$(v2) = v0)) &  ! [v0:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v1:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v2: A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] :
% 60.34/9.21    (v1 = v0 |  ~ (cblinfun_compose$e(v2) = v1) |  ~ (cblinfun_compose$e(v2) =
% 60.34/9.21        v0)) &  ! [v0: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  !
% 60.34/9.21    [v1: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun$] : (v1 = v0 |  ~ (cblinfun_compose$a(v2) = v1) |  ~
% 60.34/9.21      (cblinfun_compose$a(v2) = v0)) &  ! [v0:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.21      B_ell2_b_ell2_cblinfun$] : (v1 = v0 |  ~ (cblinfun_compose$(v2) = v1) |  ~
% 60.34/9.21      (cblinfun_compose$(v2) = v0)) &  ! [v0: Complex_complex_fun$] :  ! [v1:
% 60.34/9.21      Complex_complex_fun$] :  ! [v2: Complex$] : (v1 = v0 |  ~ (cinner$b(v2) =
% 60.34/9.21        v1) |  ~ (cinner$b(v2) = v0)) &  ! [v0:
% 60.34/9.21      B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v1:
% 60.34/9.21      B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v2: B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (complement$d(v2) = v1) |  ~ (complement$d(v2) = v0)) &  ! [v0:
% 60.34/9.21      B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v1:
% 60.34/9.21      B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v2: B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (complement$c(v2) = v1) |  ~ (complement$c(v2) = v0)) &  ! [v0: B_ell2$] : 
% 60.34/9.21    ! [v1: B_ell2$] :  ! [v2: B$] : (v1 = v0 |  ~ (ket$a(v2) = v1) |  ~ (ket$a(v2)
% 60.34/9.21        = v0)) &  ! [v0: A_ell2$] :  ! [v1: A_ell2$] :  ! [v2: A$] : (v1 = v0 |  ~
% 60.34/9.21      (ket$(v2) = v1) |  ~ (ket$(v2) = v0)) &  ! [v0:
% 60.34/9.21      A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v1:
% 60.34/9.21      A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v2: A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (complement$b(v2) = v1) |  ~ (complement$b(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (regular_register$g(v2) = v1) |  ~ (regular_register$g(v2) =
% 60.34/9.21        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (regular_register$h(v2) = v1) |  ~ (regular_register$h(v2) =
% 60.34/9.21        v0)) &  ! [v0:
% 60.34/9.21      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$]
% 60.34/9.21    :  ! [v1:
% 60.34/9.21      A_a_b_complement_domain_prod_b_complement_domain_ell2_a_a_b_complement_domain_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v2:
% 60.34/9.21      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (complement$a(v2) = v1) |  ~ (complement$a(v2) = v0)) &  !
% 60.34/9.21    [v0: Complex_complex_cblinfun$] :  ! [v1: Complex_complex_cblinfun$] :  ! [v2:
% 60.34/9.21      Complex$] : (v1 = v0 |  ~ (cblinfun_scaleC_left$(v2) = v1) |  ~
% 60.34/9.21      (cblinfun_scaleC_left$(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 60.34/9.21      MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_b_complement_domain_a_prod_ell2_a_b_complement_domain_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (register$r(v2) = v1) |  ~ (register$r(v2) = v0)) &  ! [v0:
% 60.34/9.21      Complex_complex_cblinfun$] :  ! [v1: Complex_complex_cblinfun$] :  ! [v2:
% 60.34/9.21      Complex$] : (v1 = v0 |  ~ (cblinfun_scaleC_right$(v2) = v1) |  ~
% 60.34/9.21      (cblinfun_scaleC_right$(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 60.34/9.21      MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_a_b_complement_domain_prod_ell2_b_ell2_cblinfun$] : (v1 = v0 |  ~
% 60.34/9.21      (unitary$c(v2) = v1) |  ~ (unitary$c(v2) = v0)) &  ! [v0:
% 60.34/9.21      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v1:
% 60.34/9.21      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v2: A_a_b_complement_domain_prod_ell2_b_ell2_cblinfun$] : (v1 = v0 |  ~
% 60.34/9.21      (sandwich$f(v2) = v1) |  ~ (sandwich$f(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_ell2_b_ell2_cblinfun$] : (v1 = v0 |  ~ (unitary$b(v2) = v1) |  ~
% 60.34/9.21      (unitary$b(v2) = v0)) &  ! [v0:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.21      A_ell2_b_ell2_cblinfun$] : (v1 = v0 |  ~ (sandwich$e(v2) = v1) |  ~
% 60.34/9.21      (sandwich$e(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 60.34/9.21      MultipleValueBool] :  ! [v2: A_ell2_a_ell2_cblinfun$] : (v1 = v0 |  ~
% 60.34/9.21      (unitary$(v2) = v1) |  ~ (unitary$(v2) = v0)) &  ! [v0: MultipleValueBool] :
% 60.34/9.21     ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] : (v1 = v0
% 60.34/9.21      |  ~ (unitary$a(v2) = v1) |  ~ (unitary$a(v2) = v0)) &  ! [v0:
% 60.34/9.21      Complex_complex_fun$] :  ! [v1: Complex_complex_fun$] :  ! [v2:
% 60.34/9.21      Complex_complex_cblinfun$] : (v1 = v0 |  ~ (cblinfun_apply$(v2) = v1) |  ~
% 60.34/9.21      (cblinfun_apply$(v2) = v0)) &  ! [v0:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v1:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v2: A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (complement$(v2) = v1) |  ~ (complement$(v2) = v0)) &  ! [v0:
% 60.34/9.21      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$]
% 60.34/9.21    :  ! [v1:
% 60.34/9.21      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v2:
% 60.34/9.21      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.21    : (v1 = v0 |  ~ (sandwich$d(v2) = v1) |  ~ (sandwich$d(v2) = v0)) &  ! [v0:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v1:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v2: A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$] :
% 60.34/9.21    (v1 = v0 |  ~ (sandwich$c(v2) = v1) |  ~ (sandwich$c(v2) = v0)) &  ! [v0:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun$] : (v1 = v0 |  ~ (sandwich$b(v2) = v1) |  ~
% 60.34/9.21      (sandwich$b(v2) = v0)) &  ! [v0:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.21      C_ell2_c_ell2_cblinfun$] : (v1 = v0 |  ~ (sandwich$a(v2) = v1) |  ~
% 60.34/9.21      (sandwich$a(v2) = v0)) &  ! [v0:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.21      B_ell2_b_ell2_cblinfun$] : (v1 = v0 |  ~ (sandwich$(v2) = v1) |  ~
% 60.34/9.21      (sandwich$(v2) = v0)) &  ! [v0:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] :  ! [v2: Complex$] :
% 60.34/9.21    (v1 = v0 |  ~ (scaleC$g(v2) = v1) |  ~ (scaleC$g(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (register$q(v2) = v1) |  ~ (register$q(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (iso_register$u(v2) = v1) |  ~ (iso_register$u(v2) = v0)) &  !
% 60.34/9.21    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (iso_register$t(v2) = v1) |  ~ (iso_register$t(v2) = v0)) &  !
% 60.34/9.21    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (register$p(v2) = v1) |  ~ (register$p(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (register$o(v2) = v1) |  ~ (register$o(v2) = v0)) &  ! [v0:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun$] :  ! [v1: Unit_ell2_unit_ell2_cblinfun$] :  !
% 60.34/9.21    [v2: Complex$] : (v1 = v0 |  ~ (one_dim_iso$f(v2) = v1) |  ~
% 60.34/9.21      (one_dim_iso$f(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 60.34/9.21      MultipleValueBool] :  ! [v2:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_fun$] : (v1 = v0 |
% 60.34/9.21       ~ (register$n(v2) = v1) |  ~ (register$n(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (iso_register$s(v2) = v1) |  ~ (iso_register$s(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (iso_register$r(v2) = v1) |  ~ (iso_register$r(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (iso_register$q(v2) = v1) |  ~ (iso_register$q(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (iso_register$p(v2) = v1) |  ~ (iso_register$p(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (register$m(v2) = v1) |  ~ (register$m(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (iso_register$o(v2) = v1) |  ~ (iso_register$o(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (register$l(v2) = v1) |  ~ (register$l(v2) = v0)) &  ! [v0:
% 60.34/9.21      Complex_complex_fun_complex_complex_fun_fun$] :  ! [v1:
% 60.34/9.21      Complex_complex_fun_complex_complex_fun_fun$] :  ! [v2:
% 60.34/9.21      Complex_complex_fun$] : (v1 = v0 |  ~ (comp$q(v2) = v1) |  ~ (comp$q(v2) =
% 60.34/9.21        v0)) &  ! [v0: Complex_complex_cblinfun$] :  ! [v1:
% 60.34/9.21      Complex_complex_cblinfun$] :  ! [v2: Complex_complex_cblinfun$] : (v1 = v0 |
% 60.34/9.21       ~ (one_dim_iso$c(v2) = v1) |  ~ (one_dim_iso$c(v2) = v0)) &  ! [v0:
% 60.34/9.21      Complex$] :  ! [v1: Complex$] :  ! [v2: Complex_complex_cblinfun$] : (v1 =
% 60.34/9.21      v0 |  ~ (one_dim_iso$b(v2) = v1) |  ~ (one_dim_iso$b(v2) = v0)) &  ! [v0:
% 60.34/9.21      Complex_complex_cblinfun$] :  ! [v1: Complex_complex_cblinfun$] :  ! [v2:
% 60.34/9.21      Complex$] : (v1 = v0 |  ~ (one_dim_iso$a(v2) = v1) |  ~ (one_dim_iso$a(v2) =
% 60.34/9.21        v0)) &  ! [v0:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_fun$] :  ! [v2:
% 60.34/9.21      Complex$] : (v1 = v0 |  ~ (scaleC$e(v2) = v1) |  ~ (scaleC$e(v2) = v0)) &  !
% 60.34/9.21    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (register$k(v2) = v1) |  ~ (register$k(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (register$j(v2) = v1) |  ~ (register$j(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (register$i(v2) = v1) |  ~ (register$i(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (register$h(v2) = v1) |  ~ (register$h(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (register$g(v2) = v1) |  ~ (register$g(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_a_prod_ell2_a_a_prod_ell2_cblinfun_fun$] : (v1 = v0
% 60.34/9.21      |  ~ (regular_register$f(v2) = v1) |  ~ (regular_register$f(v2) = v0)) &  !
% 60.34/9.21    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_a_prod_ell2_a_a_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0
% 60.34/9.21      |  ~ (regular_register$d(v2) = v1) |  ~ (regular_register$d(v2) = v0)) &  !
% 60.34/9.21    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0
% 60.34/9.21      |  ~ (regular_register$e(v2) = v1) |  ~ (regular_register$e(v2) = v0)) &  !
% 60.34/9.21    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (regular_register$c(v2) = v1) |  ~ (regular_register$c(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (regular_register$b(v2) = v1) |  ~ (regular_register$b(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (regular_register$a(v2) = v1) |  ~ (regular_register$a(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (iso_register$n(v2) = v1) |  ~ (iso_register$n(v2) = v0)) &  ! [v0:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun$]
% 60.34/9.21    :  ! [v1:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_a_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun_fun$]
% 60.34/9.21    :  ! [v2: B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (comp$a(v2) = v1) |  ~ (comp$a(v2) = v0)) &  ! [v0:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] :  ! [v2: Complex$] :
% 60.34/9.21    (v1 = v0 |  ~ (scaleC$d(v2) = v1) |  ~ (scaleC$d(v2) = v0)) &  ! [v0:
% 60.34/9.21      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.21    :  ! [v1:
% 60.34/9.21      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$]
% 60.34/9.21    :  ! [v2: Unit_ell2_unit_ell2_cblinfun$] : (v1 = v0 |  ~ (empty_var$c(v2) =
% 60.34/9.21        v1) |  ~ (empty_var$c(v2) = v0)) &  ! [v0:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v1:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 60.34/9.21    :  ! [v2: Complex$] : (v1 = v0 |  ~ (scaleC$b(v2) = v1) |  ~ (scaleC$b(v2) =
% 60.34/9.21        v0)) &  ! [v0: Complex$] :  ! [v1: Complex$] :  ! [v2:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun$] : (v1 = v0 |  ~ (one_dim_iso$(v2) = v1) |  ~
% 60.34/9.21      (one_dim_iso$(v2) = v0)) &  ! [v0:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v1:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] :  ! [v2: Complex$] :
% 60.34/9.21    (v1 = v0 |  ~ (scaleC$a(v2) = v1) |  ~ (scaleC$a(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (iso_register$m(v2) = v1) |  ~ (iso_register$m(v2) = v0)) &  !
% 60.34/9.21    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (iso_register$l(v2) = v1) |  ~ (iso_register$l(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (is_unit_register$j(v2) = v1) |  ~ (is_unit_register$j(v2) =
% 60.34/9.21        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      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$]
% 60.34/9.21    : (v1 = v0 |  ~ (is_unit_register$i(v2) = v1) |  ~ (is_unit_register$i(v2) =
% 60.34/9.21        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_a_prod_ell2_a_a_prod_ell2_cblinfun_b_b_prod_ell2_b_b_prod_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (iso_register$k(v2) = v1) |  ~ (iso_register$k(v2) = v0)) &  !
% 60.34/9.21    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      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$]
% 60.34/9.21    : (v1 = v0 |  ~ (is_unit_register$h(v2) = v1) |  ~ (is_unit_register$h(v2) =
% 60.34/9.21        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (iso_register$j(v2) = v1) |  ~ (iso_register$j(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (register$f(v2) = v1) |  ~ (register$f(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (register$e(v2) = v1) |  ~ (register$e(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (register$d(v2) = v1) |  ~ (register$d(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (is_unit_register$g(v2) = v1) |  ~ (is_unit_register$g(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (register$c(v2) = v1) |  ~ (register$c(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (is_unit_register$f(v2) = v1) |  ~ (is_unit_register$f(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (register$b(v2) = v1) |  ~ (register$b(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (register$a(v2) = v1) |  ~ (register$a(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (is_unit_register$e(v2) = v1) |  ~ (is_unit_register$e(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (register$(v2) = v1) |  ~ (register$(v2) = v0)) &  ! [v0: MultipleValueBool]
% 60.34/9.21    :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (iso_register$i(v2) = v1) |  ~ (iso_register$i(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_fun$] : (v1 = v0 |
% 60.34/9.21       ~ (iso_register$h(v2) = v1) |  ~ (iso_register$h(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (iso_register$g(v2) = v1) |  ~ (iso_register$g(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (iso_register$f(v2) = v1) |  ~ (iso_register$f(v2) = v0)) &  !
% 60.34/9.21    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (iso_register$e(v2) = v1) |  ~ (iso_register$e(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (iso_register$d(v2) = v1) |  ~ (iso_register$d(v2) = v0)) &  !
% 60.34/9.21    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (iso_register$c(v2) = v1) |  ~ (iso_register$c(v2) = v0)) &  !
% 60.34/9.21    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_unit_ell2_unit_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (iso_register$b(v2) = v1) |  ~ (iso_register$b(v2) = v0)) &  !
% 60.34/9.21    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (iso_register$a(v2) = v1) |  ~ (iso_register$a(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (iso_register$(v2) = v1) |  ~ (iso_register$(v2) = v0)) &  !
% 60.34/9.21    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (is_unit_register$d(v2) = v1) |  ~ (is_unit_register$d(v2) =
% 60.34/9.21        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (is_unit_register$b(v2) = v1) |  ~ (is_unit_register$b(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (is_unit_register$c(v2) = v1) |  ~ (is_unit_register$c(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$]
% 60.34/9.21    : (v1 = v0 |  ~ (is_unit_register$a(v2) = v1) |  ~ (is_unit_register$a(v2) =
% 60.34/9.21        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (regular_register$(v2) = v1) |  ~ (regular_register$(v2) = v0)) &  ! [v0:
% 60.34/9.21      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.34/9.21      Unit_ell2_unit_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0 |  ~
% 60.34/9.21      (is_unit_register$(v2) = v1) |  ~ (is_unit_register$(v2) = v0)) &  ! [v0:
% 60.34/9.21      Complex_complex_fun$] :  ! [v1: Complex_complex_fun$] :  ! [v2: Complex$] :
% 60.34/9.21    (v1 = v0 |  ~ (uu$(v2) = v1) |  ~ (uu$(v2) = v0))
% 60.34/9.21  
% 60.34/9.21  Further assumptions not needed in the proof:
% 60.34/9.21  --------------------------------------------
% 60.75/9.22  axiom0, axiom10, axiom100, axiom101, axiom102, axiom103, axiom104, axiom105,
% 60.75/9.22  axiom106, axiom107, axiom108, axiom109, axiom11, axiom110, axiom111, axiom112,
% 60.75/9.22  axiom113, axiom114, axiom115, axiom116, axiom117, axiom118, axiom119, axiom12,
% 60.75/9.22  axiom120, axiom121, axiom122, axiom123, axiom124, axiom125, axiom126, axiom127,
% 60.75/9.22  axiom128, axiom129, axiom13, axiom130, axiom131, axiom132, axiom133, axiom134,
% 60.75/9.22  axiom135, axiom136, axiom137, axiom138, axiom139, axiom14, axiom140, axiom141,
% 60.75/9.22  axiom142, axiom143, axiom144, axiom145, axiom146, axiom147, axiom148, axiom149,
% 60.75/9.22  axiom15, axiom150, axiom151, axiom152, axiom153, axiom154, axiom155, axiom156,
% 60.75/9.22  axiom157, axiom158, axiom159, axiom16, axiom160, axiom161, axiom162, axiom163,
% 60.75/9.22  axiom164, axiom165, axiom166, axiom167, axiom168, axiom169, axiom17, axiom170,
% 60.75/9.22  axiom171, axiom172, axiom173, axiom174, axiom175, axiom176, axiom177, axiom178,
% 60.75/9.22  axiom179, axiom18, axiom180, axiom181, axiom182, axiom183, axiom184, axiom185,
% 60.75/9.22  axiom186, axiom187, axiom188, axiom189, axiom19, axiom190, axiom191, axiom192,
% 60.75/9.22  axiom193, axiom194, axiom195, axiom196, axiom197, axiom198, axiom199, axiom20,
% 60.75/9.22  axiom200, axiom201, axiom202, axiom203, axiom204, axiom205, axiom206, axiom207,
% 60.75/9.22  axiom208, axiom209, axiom21, axiom210, axiom211, axiom212, axiom213, axiom214,
% 60.75/9.22  axiom215, axiom216, axiom217, axiom218, axiom219, axiom22, axiom220, axiom221,
% 60.75/9.22  axiom222, axiom223, axiom224, axiom225, axiom226, axiom227, axiom228, axiom229,
% 60.75/9.22  axiom23, axiom230, axiom231, axiom232, axiom233, axiom234, axiom235, axiom236,
% 60.75/9.22  axiom237, axiom238, axiom239, axiom24, axiom240, axiom241, axiom242, axiom243,
% 60.75/9.22  axiom244, axiom245, axiom246, axiom247, axiom248, axiom249, axiom25, axiom250,
% 60.75/9.22  axiom251, axiom252, axiom253, axiom254, axiom255, axiom256, axiom257, axiom258,
% 60.75/9.22  axiom259, axiom26, axiom260, axiom261, axiom262, axiom263, axiom264, axiom265,
% 60.75/9.22  axiom266, axiom267, axiom268, axiom269, axiom27, axiom270, axiom271, axiom272,
% 60.75/9.22  axiom273, axiom274, axiom275, axiom276, axiom277, axiom278, axiom279, axiom28,
% 60.75/9.22  axiom280, axiom281, axiom282, axiom283, axiom284, axiom285, axiom286, axiom287,
% 60.75/9.22  axiom288, axiom289, axiom29, axiom290, axiom291, axiom292, axiom293, axiom294,
% 60.75/9.22  axiom295, axiom296, axiom297, axiom298, axiom299, axiom3, axiom30, axiom300,
% 60.75/9.22  axiom301, axiom302, axiom303, axiom304, axiom305, axiom306, axiom307, axiom308,
% 60.75/9.22  axiom309, axiom31, axiom310, axiom311, axiom312, axiom313, axiom314, axiom315,
% 60.75/9.22  axiom316, axiom317, axiom318, axiom319, axiom32, axiom320, axiom321, axiom322,
% 60.75/9.22  axiom323, axiom324, axiom325, axiom326, axiom327, axiom328, axiom329, axiom33,
% 60.75/9.22  axiom330, axiom331, axiom332, axiom333, axiom334, axiom335, axiom336, axiom337,
% 60.75/9.22  axiom338, axiom339, axiom34, axiom340, axiom341, axiom342, axiom343, axiom344,
% 60.75/9.22  axiom345, axiom346, axiom347, axiom348, axiom349, axiom35, axiom350, axiom351,
% 60.75/9.22  axiom352, axiom353, axiom354, axiom355, axiom356, axiom357, axiom358, axiom359,
% 60.75/9.22  axiom36, axiom360, axiom361, axiom362, axiom363, axiom364, axiom365, axiom366,
% 60.75/9.22  axiom367, axiom368, axiom369, axiom37, axiom370, axiom371, axiom372, axiom373,
% 60.75/9.22  axiom374, axiom375, axiom376, axiom377, axiom378, axiom379, axiom38, axiom380,
% 60.75/9.22  axiom381, axiom382, axiom383, axiom384, axiom385, axiom386, axiom387, axiom388,
% 60.75/9.22  axiom389, axiom39, axiom390, axiom391, axiom392, axiom393, axiom394, axiom395,
% 60.75/9.22  axiom396, axiom397, axiom398, axiom399, axiom4, axiom40, axiom400, axiom401,
% 60.75/9.22  axiom402, axiom403, axiom404, axiom405, axiom406, axiom407, axiom408, axiom409,
% 60.75/9.22  axiom41, axiom410, axiom411, axiom412, axiom413, axiom414, axiom415, axiom416,
% 60.75/9.22  axiom417, axiom418, axiom419, axiom42, axiom420, axiom421, axiom422, axiom423,
% 60.75/9.22  axiom424, axiom425, axiom426, axiom427, axiom428, axiom429, axiom43, axiom430,
% 60.75/9.22  axiom431, axiom432, axiom433, axiom434, axiom435, axiom436, axiom437, axiom438,
% 60.75/9.22  axiom439, axiom44, axiom440, axiom441, axiom442, axiom443, axiom444, axiom445,
% 60.75/9.22  axiom446, axiom447, axiom448, axiom449, axiom45, axiom450, axiom451, axiom452,
% 60.75/9.22  axiom453, axiom454, axiom455, axiom456, axiom457, axiom458, axiom459, axiom46,
% 60.75/9.22  axiom460, axiom461, axiom462, axiom463, axiom464, axiom465, axiom466, axiom467,
% 60.75/9.22  axiom468, axiom469, axiom47, axiom470, axiom471, axiom472, axiom473, axiom474,
% 60.75/9.22  axiom475, axiom476, axiom477, axiom478, axiom479, axiom48, axiom480, axiom481,
% 60.75/9.22  axiom482, axiom483, axiom484, axiom485, axiom486, axiom487, axiom488, axiom489,
% 60.75/9.22  axiom49, axiom490, axiom491, axiom492, axiom493, axiom494, axiom495, axiom496,
% 60.75/9.22  axiom497, axiom498, axiom499, axiom5, axiom50, axiom500, axiom501, axiom502,
% 60.75/9.22  axiom503, axiom504, axiom505, axiom506, axiom507, axiom508, axiom509, axiom51,
% 60.75/9.22  axiom510, axiom511, axiom512, axiom513, axiom514, axiom515, axiom516, axiom517,
% 60.75/9.22  axiom518, axiom519, axiom52, axiom520, axiom521, axiom522, axiom523, axiom524,
% 60.75/9.22  axiom525, axiom526, axiom527, axiom528, axiom529, axiom53, axiom530, axiom531,
% 60.75/9.22  axiom532, axiom533, axiom534, axiom535, axiom536, axiom537, axiom538, axiom539,
% 60.75/9.22  axiom54, axiom540, axiom541, axiom542, axiom543, axiom544, axiom545, axiom546,
% 60.75/9.22  axiom547, axiom548, axiom549, axiom55, axiom550, axiom551, axiom552, axiom553,
% 60.75/9.22  axiom554, axiom555, axiom556, axiom557, axiom558, axiom559, axiom56, axiom560,
% 60.75/9.22  axiom561, axiom562, axiom563, axiom564, axiom565, axiom566, axiom567, axiom568,
% 60.75/9.22  axiom569, axiom57, axiom570, axiom571, axiom572, axiom573, axiom574, axiom575,
% 60.75/9.22  axiom576, axiom577, axiom578, axiom579, axiom58, axiom580, axiom581, axiom582,
% 60.75/9.22  axiom583, axiom584, axiom585, axiom586, axiom587, axiom588, axiom589, axiom59,
% 60.75/9.22  axiom590, axiom591, axiom592, axiom593, axiom594, axiom595, axiom596, axiom597,
% 60.75/9.22  axiom598, axiom599, axiom6, axiom60, axiom600, axiom601, axiom602, axiom603,
% 60.75/9.22  axiom604, axiom605, axiom606, axiom607, axiom608, axiom609, axiom61, axiom610,
% 60.75/9.22  axiom611, axiom612, axiom613, axiom614, axiom615, axiom616, axiom617, axiom618,
% 60.75/9.22  axiom619, axiom62, axiom620, axiom621, axiom622, axiom623, axiom624, axiom625,
% 60.75/9.22  axiom626, axiom627, axiom628, axiom629, axiom63, axiom630, axiom631, axiom632,
% 60.75/9.22  axiom633, axiom634, axiom635, axiom636, axiom637, axiom638, axiom64, axiom65,
% 60.75/9.22  axiom66, axiom67, axiom68, axiom69, axiom7, axiom70, axiom71, axiom72, axiom73,
% 60.75/9.22  axiom74, axiom75, axiom76, axiom77, axiom78, axiom79, axiom8, axiom80, axiom81,
% 60.75/9.22  axiom82, axiom83, axiom84, axiom85, axiom86, axiom87, axiom88, axiom89, axiom9,
% 60.75/9.22  axiom90, axiom91, axiom92, axiom93, axiom94, axiom95, axiom96, axiom97, axiom98,
% 60.75/9.22  axiom99, formula_640, formula_641
% 60.75/9.22  
% 60.75/9.22  Those formulas are unsatisfiable:
% 60.75/9.22  ---------------------------------
% 60.75/9.22  
% 60.75/9.22  Begin of proof
% 60.75/9.22  | 
% 60.75/9.22  | ALPHA: (axiom2) implies:
% 60.75/9.22  |   (1)  is_unit_register$(empty_var$) = 0
% 60.75/9.22  | 
% 60.75/9.22  | ALPHA: (conjecture1) implies:
% 60.75/9.22  |   (2)   ? [v0: int] : ( ~ (v0 = 0) & is_unit_register$(empty_var$) = v0)
% 60.75/9.22  | 
% 60.75/9.22  | ALPHA: (function-axioms) implies:
% 60.75/9.22  |   (3)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 60.75/9.22  |          Unit_ell2_unit_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$] : (v1 = v0
% 60.75/9.22  |          |  ~ (is_unit_register$(v2) = v1) |  ~ (is_unit_register$(v2) = v0))
% 60.75/9.22  | 
% 60.75/9.22  | DELTA: instantiating (2) with fresh symbol all_811_0 gives:
% 60.75/9.22  |   (4)   ~ (all_811_0 = 0) & is_unit_register$(empty_var$) = all_811_0
% 60.75/9.22  | 
% 60.75/9.22  | ALPHA: (4) implies:
% 60.75/9.22  |   (5)   ~ (all_811_0 = 0)
% 60.75/9.22  |   (6)  is_unit_register$(empty_var$) = all_811_0
% 60.75/9.22  | 
% 60.75/9.22  | GROUND_INST: instantiating (3) with 0, all_811_0, empty_var$, simplifying with
% 60.75/9.22  |              (1), (6) gives:
% 60.75/9.22  |   (7)  all_811_0 = 0
% 60.75/9.22  | 
% 60.75/9.22  | REDUCE: (5), (7) imply:
% 60.75/9.22  |   (8)  $false
% 60.75/9.23  | 
% 60.75/9.23  | CLOSE: (8) is inconsistent.
% 60.75/9.23  | 
% 60.75/9.23  End of proof
% 60.75/9.23  % SZS output end Proof for theBenchmark
% 60.75/9.23  
% 60.75/9.23  8621ms
%------------------------------------------------------------------------------