%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : SEU382+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 17:44:24 EDT 2023

% Result   : Theorem 92.22s 12.88s
% Output   : Proof 168.97s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU382+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.35  % Computer : n015.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 : Wed Aug 23 22:55:05 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.66  ________       _____
% 0.20/0.66  ___  __ \_________(_)________________________________
% 0.20/0.66  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.20/0.66  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.20/0.66  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.20/0.66  
% 0.20/0.66  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.66  (2023-06-19)
% 0.20/0.66  
% 0.20/0.66  (c) Philipp Rümmer, 2009-2023
% 0.20/0.66  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.67                Amanda Stjerna.
% 0.20/0.67  Free software under BSD-3-Clause.
% 0.20/0.67  
% 0.20/0.67  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.67  
% 0.20/0.67  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.68  Running up to 7 provers in parallel.
% 0.20/0.69  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.69  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.69  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.69  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.69  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.69  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.69  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 17.79/3.14  Prover 6: Preprocessing ...
% 18.94/3.31  Prover 5: Preprocessing ...
% 18.94/3.32  Prover 3: Preprocessing ...
% 18.94/3.32  Prover 0: Preprocessing ...
% 19.44/3.34  Prover 2: Preprocessing ...
% 19.44/3.46  Prover 4: Preprocessing ...
% 19.44/3.48  Prover 1: Preprocessing ...
% 55.22/8.16  Prover 1: Warning: ignoring some quantifiers
% 57.38/8.32  Prover 3: Warning: ignoring some quantifiers
% 57.39/8.39  Prover 6: Proving ...
% 58.02/8.42  Prover 3: Constructing countermodel ...
% 58.02/8.44  Prover 1: Constructing countermodel ...
% 58.02/8.45  Prover 5: Proving ...
% 77.01/10.90  Prover 2: Proving ...
% 84.50/11.86  Prover 2: stopped
% 84.50/11.87  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 89.91/12.61  Prover 7: Preprocessing ...
% 92.22/12.87  Prover 3: proved (12188ms)
% 92.22/12.88  
% 92.22/12.88  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 92.22/12.88  
% 92.22/12.88  Prover 6: stopped
% 92.22/12.88  Prover 5: stopped
% 92.22/12.88  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 92.22/12.88  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 92.22/12.89  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 100.93/14.03  Prover 11: Preprocessing ...
% 100.93/14.05  Prover 8: Preprocessing ...
% 100.93/14.06  Prover 10: Preprocessing ...
% 101.83/14.21  Prover 7: Warning: ignoring some quantifiers
% 104.01/14.44  Prover 7: Constructing countermodel ...
% 106.95/14.83  Prover 10: Warning: ignoring some quantifiers
% 114.07/15.84  Prover 10: Constructing countermodel ...
% 116.38/16.03  Prover 1: stopped
% 116.38/16.03  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 118.74/16.33  Prover 8: Warning: ignoring some quantifiers
% 119.46/16.44  Prover 8: Constructing countermodel ...
% 122.34/16.82  Prover 13: Preprocessing ...
% 122.34/16.85  Prover 4: Warning: ignoring some quantifiers
% 126.63/17.38  Prover 4: Constructing countermodel ...
% 133.26/18.29  Prover 13: Warning: ignoring some quantifiers
% 134.91/18.47  Prover 13: Constructing countermodel ...
% 144.86/19.76  Prover 0: Proving ...
% 144.86/19.76  Prover 0: stopped
% 144.86/19.76  Prover 16: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 144.86/19.78  Prover 13: stopped
% 144.86/19.79  Prover 19: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 149.96/20.50  Prover 19: Preprocessing ...
% 150.70/20.52  Prover 16: Preprocessing ...
% 158.56/21.55  Prover 16: Warning: ignoring some quantifiers
% 159.59/21.67  Prover 16: Constructing countermodel ...
% 164.89/22.37  Prover 19: Warning: ignoring some quantifiers
% 166.05/22.51  Prover 19: Constructing countermodel ...
% 166.47/22.58  Prover 10: Found proof (size 24)
% 166.47/22.58  Prover 10: proved (9696ms)
% 166.47/22.58  Prover 16: stopped
% 166.47/22.58  Prover 4: stopped
% 166.47/22.58  Prover 8: stopped
% 166.47/22.58  Prover 7: stopped
% 166.47/22.58  Prover 19: stopped
% 168.05/23.51  Prover 11: Warning: ignoring some quantifiers
% 168.30/23.75  Prover 11: Constructing countermodel ...
% 168.30/23.75  Prover 11: stopped
% 168.30/23.75  
% 168.30/23.76  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 168.30/23.76  
% 168.30/23.76  % SZS output start Proof for theBenchmark
% 168.39/23.81  Assumptions after simplification:
% 168.39/23.81  ---------------------------------
% 168.39/23.81  
% 168.39/23.81    (dt_k3_yellow_0)
% 168.39/23.86     ! [v0: $i] :  ! [v1: $i] : ( ~ (bottom_of_relstr(v0) = v1) |  ~ $i(v0) |  ~
% 168.39/23.86      rel_str(v0) |  ? [v2: $i] : (the_carrier(v0) = v2 & $i(v2) & element(v1,
% 168.39/23.86          v2)))
% 168.39/23.86  
% 168.39/23.86    (dt_k3_yellow_1)
% 168.39/23.86     ! [v0: $i] :  ! [v1: $i] : ( ~ (boole_POSet(v0) = v1) |  ~ $i(v0) |
% 168.39/23.86      strict_rel_str(v1)) &  ! [v0: $i] :  ! [v1: $i] : ( ~ (boole_POSet(v0) = v1)
% 168.39/23.86      |  ~ $i(v0) | rel_str(v1))
% 168.39/23.86  
% 168.39/23.86    (t18_yellow_1)
% 168.39/23.86    $i(empty_set) &  ! [v0: $i] :  ! [v1: $i] : ( ~ (boole_POSet(v0) = v1) |  ~
% 168.39/23.86      $i(v0) | bottom_of_relstr(v1) = empty_set)
% 168.39/23.86  
% 168.39/23.86    (t1_yellow_1)
% 168.71/23.87     ! [v0: $i] :  ! [v1: $i] : ( ~ (inclusion_order(v0) = v1) |  ~ $i(v0) |  ?
% 168.71/23.87      [v2: $i] : (incl_POSet(v0) = v2 & the_InternalRel(v2) = v1 & $i(v2) &
% 168.71/23.87        $i(v1))) &  ! [v0: $i] :  ! [v1: $i] : ( ~ (incl_POSet(v0) = v1) |  ~
% 168.71/23.87      $i(v0) | the_carrier(v1) = v0)
% 168.71/23.87  
% 168.71/23.87    (t4_waybel_7)
% 168.71/23.87     ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] : ( ~ (v3 = v2) &
% 168.71/23.87      boole_POSet(v0) = v1 & powerset(v0) = v3 & the_carrier(v1) = v2 & $i(v3) &
% 168.71/23.87      $i(v2) & $i(v1) & $i(v0))
% 168.71/23.87  
% 168.71/23.87    (t4_yellow_1)
% 168.71/23.87     ! [v0: $i] :  ! [v1: $i] : ( ~ (boole_POSet(v0) = v1) |  ~ $i(v0) |  ? [v2:
% 168.71/23.87        $i] : (incl_POSet(v2) = v1 & powerset(v0) = v2 & $i(v2) & $i(v1)))
% 168.71/23.87  
% 168.71/23.87    (function-axioms)
% 168.97/23.93     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :  ! [v5:
% 168.97/23.93      $i] :  ! [v6: $i] :  ! [v7: $i] : (v1 = v0 |  ~ (apply_binary_as_element(v7,
% 168.97/23.93          v6, v5, v4, v3, v2) = v1) |  ~ (apply_binary_as_element(v7, v6, v5, v4,
% 168.97/23.93          v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :
% 168.97/23.93     ! [v4: $i] :  ! [v5: $i] :  ! [v6: $i] : (v1 = v0 |  ~
% 168.97/23.93      (function_of_composition(v6, v5, v4, v3, v2) = v1) |  ~
% 168.97/23.93      (function_of_composition(v6, v5, v4, v3, v2) = v0)) &  ! [v0: $i] :  ! [v1:
% 168.97/23.93      $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :  ! [v5: $i] : (v1 = v0 |  ~
% 168.97/23.93      (apply_as_element(v5, v4, v3, v2) = v1) |  ~ (apply_as_element(v5, v4, v3,
% 168.97/23.93          v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  !
% 168.97/23.93    [v4: $i] :  ! [v5: $i] : (v1 = v0 |  ~ (ordered_pair_as_product_element(v5,
% 168.97/23.93          v4, v3, v2) = v1) |  ~ (ordered_pair_as_product_element(v5, v4, v3, v2)
% 168.97/23.93        = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4:
% 168.97/23.93      $i] :  ! [v5: $i] : (v1 = v0 |  ~ (k10_filter_1(v5, v4, v3, v2) = v1) |  ~
% 168.97/23.93      (k10_filter_1(v5, v4, v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2:
% 168.97/23.93      $i] :  ! [v3: $i] :  ! [v4: $i] :  ! [v5: $i] : (v1 = v0 |  ~
% 168.97/23.93      (relation_dom_restr_as_relation_of(v5, v4, v3, v2) = v1) |  ~
% 168.97/23.93      (relation_dom_restr_as_relation_of(v5, v4, v3, v2) = v0)) &  ! [v0: $i] :  !
% 168.97/23.93    [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :  ! [v5: $i] : (v1 = v0 | 
% 168.97/23.93      ~ (apply_on_structs(v5, v4, v3, v2) = v1) |  ~ (apply_on_structs(v5, v4, v3,
% 168.97/23.93          v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  !
% 168.97/23.93    [v4: $i] :  ! [v5: $i] : (v1 = v0 |  ~
% 168.97/23.93      (function_invverse_img_as_carrier_subset(v5, v4, v3, v2) = v1) |  ~
% 168.97/23.93      (function_invverse_img_as_carrier_subset(v5, v4, v3, v2) = v0)) &  ! [v0:
% 168.97/23.93      $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :  ! [v5: $i] :
% 168.97/23.93    (v1 = v0 |  ~ (apply_on_set_and_struct(v5, v4, v3, v2) = v1) |  ~
% 168.97/23.93      (apply_on_set_and_struct(v5, v4, v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i]
% 168.97/23.93    :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :  ! [v5: $i] : (v1 = v0 |  ~
% 168.97/23.93      (net_str_of(v5, v4, v3, v2) = v1) |  ~ (net_str_of(v5, v4, v3, v2) = v0)) & 
% 168.97/23.93    ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : (v1 = v0
% 168.97/23.93      |  ~ (relation_rng_as_subset(v4, v3, v2) = v1) |  ~
% 168.97/23.93      (relation_rng_as_subset(v4, v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  !
% 168.97/23.93    [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : (v1 = v0 |  ~ (subset_difference(v4,
% 168.97/23.93          v3, v2) = v1) |  ~ (subset_difference(v4, v3, v2) = v0)) &  ! [v0: $i] :
% 168.97/23.93     ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : (v1 = v0 |  ~
% 168.97/23.93      (join(v4, v3, v2) = v1) |  ~ (join(v4, v3, v2) = v0)) &  ! [v0: $i] :  !
% 168.97/23.93    [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : (v1 = v0 |  ~
% 168.97/23.93      (relation_dom_as_subset(v4, v3, v2) = v1) |  ~ (relation_dom_as_subset(v4,
% 168.97/23.93          v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :
% 168.97/23.93     ! [v4: $i] : (v1 = v0 |  ~ (unordered_triple(v4, v3, v2) = v1) |  ~
% 168.97/23.93      (unordered_triple(v4, v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2:
% 168.97/23.93      $i] :  ! [v3: $i] :  ! [v4: $i] : (v1 = v0 |  ~ (apply_binary(v4, v3, v2) =
% 168.97/23.93        v1) |  ~ (apply_binary(v4, v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  !
% 168.97/23.93    [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : (v1 = v0 |  ~ (preimage_subnetstr(v4,
% 168.97/23.93          v3, v2) = v1) |  ~ (preimage_subnetstr(v4, v3, v2) = v0)) &  ! [v0: $i]
% 168.97/23.93    :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : (v1 = v0 |  ~
% 168.97/23.93      (meet(v4, v3, v2) = v1) |  ~ (meet(v4, v3, v2) = v0)) &  ! [v0: $i] :  !
% 168.97/23.93    [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : (v1 = v0 |  ~
% 168.97/23.93      (apply_netmap(v4, v3, v2) = v1) |  ~ (apply_netmap(v4, v3, v2) = v0)) &  !
% 168.97/23.93    [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : (v1 = v0 | 
% 168.97/23.93      ~ (subset_intersection2(v4, v3, v2) = v1) |  ~ (subset_intersection2(v4, v3,
% 168.97/23.93          v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  !
% 168.97/23.93    [v4: $i] : (v1 = v0 |  ~ (subset_union2(v4, v3, v2) = v1) |  ~
% 168.97/23.93      (subset_union2(v4, v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i]
% 168.97/23.93    :  ! [v3: $i] :  ! [v4: $i] : (v1 = v0 |  ~ (meet_commut(v4, v3, v2) = v1) | 
% 168.97/23.93      ~ (meet_commut(v4, v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i]
% 168.97/23.93    :  ! [v3: $i] :  ! [v4: $i] : (v1 = v0 |  ~ (join_commut(v4, v3, v2) = v1) | 
% 168.97/23.93      ~ (join_commut(v4, v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i]
% 168.97/23.93    :  ! [v3: $i] :  ! [v4: $i] : (v1 = v0 |  ~
% 168.97/23.93      (unordered_pair_as_carrier_subset(v4, v3, v2) = v1) |  ~
% 168.97/23.93      (unordered_pair_as_carrier_subset(v4, v3, v2) = v0)) &  ! [v0: $i] :  ! [v1:
% 168.97/23.93      $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : (v1 = v0 |  ~
% 168.97/23.93      (latt_str_of(v4, v3, v2) = v1) |  ~ (latt_str_of(v4, v3, v2) = v0)) &  !
% 168.97/23.93    [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 168.97/23.93      (a_2_3_lattice3(v3, v2) = v1) |  ~ (a_2_3_lattice3(v3, v2) = v0)) &  ! [v0:
% 168.97/23.93      $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 168.97/23.93      (meet_of_subsets(v3, v2) = v1) |  ~ (meet_of_subsets(v3, v2) = v0)) &  !
% 168.97/23.93    [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 168.97/23.93      (k8_filter_1(v3, v2) = v1) |  ~ (k8_filter_1(v3, v2) = v0)) &  ! [v0: $i] : 
% 168.97/23.93    ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 168.97/23.93      (complements_of_subsets(v3, v2) = v1) |  ~ (complements_of_subsets(v3, v2) =
% 168.97/23.93        v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 | 
% 168.97/23.93      ~ (relation_composition(v3, v2) = v1) |  ~ (relation_composition(v3, v2) =
% 168.97/23.93        v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 | 
% 168.97/23.93      ~ (relation_restriction(v3, v2) = v1) |  ~ (relation_restriction(v3, v2) =
% 168.97/23.93        v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 | 
% 168.97/23.93      ~ (set_difference(v3, v2) = v1) |  ~ (set_difference(v3, v2) = v0)) &  !
% 168.97/23.93    [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 168.97/23.93      (cast_to_el_of_lattice(v3, v2) = v1) |  ~ (cast_to_el_of_lattice(v3, v2) =
% 168.97/23.93        v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 | 
% 168.97/23.93      ~ (cast_to_el_of_LattPOSet(v3, v2) = v1) |  ~ (cast_to_el_of_LattPOSet(v3,
% 168.97/23.93          v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1
% 168.97/23.93      = v0 |  ~ (a_2_2_lattice3(v3, v2) = v1) |  ~ (a_2_2_lattice3(v3, v2) = v0))
% 168.97/23.93    &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 168.97/23.93      (meet_of_latt_set(v3, v2) = v1) |  ~ (meet_of_latt_set(v3, v2) = v0)) &  !
% 168.97/23.93    [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 168.97/23.93      (join_of_latt_set(v3, v2) = v1) |  ~ (join_of_latt_set(v3, v2) = v0)) &  !
% 168.97/23.93    [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (fiber(v3,
% 168.97/23.93          v2) = v1) |  ~ (fiber(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  !
% 168.97/23.93    [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (subset_complement(v3, v2) = v1) |  ~
% 168.97/23.93      (subset_complement(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i]
% 168.97/23.93    :  ! [v3: $i] : (v1 = v0 |  ~ (union_of_subsets(v3, v2) = v1) |  ~
% 168.97/23.93      (union_of_subsets(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :
% 168.97/23.93     ! [v3: $i] : (v1 = v0 |  ~ (interior(v3, v2) = v1) |  ~ (interior(v3, v2) =
% 168.97/23.93        v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 | 
% 168.97/23.93      ~ (lim_points_of_net(v3, v2) = v1) |  ~ (lim_points_of_net(v3, v2) = v0)) & 
% 168.97/23.93    ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 168.97/23.93      (relation_restriction_as_relation_of(v3, v2) = v1) |  ~
% 168.97/23.93      (relation_restriction_as_relation_of(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1:
% 168.97/23.93      $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (topstr_closure(v3, v2) =
% 168.97/23.93        v1) |  ~ (topstr_closure(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  !
% 168.97/23.93    [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (relation_inverse_image(v3, v2) = v1) |
% 168.97/23.93       ~ (relation_inverse_image(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  !
% 168.97/23.93    [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (relation_rng_restriction(v3, v2) = v1)
% 168.97/23.93      |  ~ (relation_rng_restriction(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] : 
% 168.97/23.93    ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (relation_image(v3, v2) = v1) |  ~
% 168.97/23.93      (relation_image(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : 
% 168.97/23.93    ! [v3: $i] : (v1 = v0 |  ~ (apply(v3, v2) = v1) |  ~ (apply(v3, v2) = v0)) & 
% 168.97/23.93    ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 168.97/23.93      (join_on_relstr(v3, v2) = v1) |  ~ (join_on_relstr(v3, v2) = v0)) &  ! [v0:
% 168.97/23.93      $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 168.97/23.93      (relation_dom_restriction(v3, v2) = v1) |  ~ (relation_dom_restriction(v3,
% 168.97/23.93          v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1
% 168.97/23.93      = v0 |  ~ (meet_on_relstr(v3, v2) = v1) |  ~ (meet_on_relstr(v3, v2) = v0))
% 168.97/23.93    &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 168.97/23.93      (ordered_pair(v3, v2) = v1) |  ~ (ordered_pair(v3, v2) = v0)) &  ! [v0: $i]
% 168.97/23.93    :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 168.97/23.93      (set_intersection2(v3, v2) = v1) |  ~ (set_intersection2(v3, v2) = v0)) &  !
% 168.97/23.93    [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 168.97/23.93      (set_union2(v3, v2) = v1) |  ~ (set_union2(v3, v2) = v0)) &  ! [v0: $i] :  !
% 168.97/23.93    [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (unordered_pair(v3, v2) =
% 168.97/23.93        v1) |  ~ (unordered_pair(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  !
% 168.97/23.93    [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (cartesian_product2(v3, v2) = v1) |  ~
% 168.97/23.93      (cartesian_product2(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i]
% 168.97/23.93    :  ! [v3: $i] : (v1 = v0 |  ~ (the_mapping(v3, v2) = v1) |  ~ (the_mapping(v3,
% 168.97/23.93          v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1
% 168.97/23.93      = v0 |  ~ (rel_str_of(v3, v2) = v1) |  ~ (rel_str_of(v3, v2) = v0)) &  !
% 168.97/23.93    [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (k1_pcomps_1(v2) = v1) | 
% 168.97/23.93      ~ (k1_pcomps_1(v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 =
% 168.97/23.93      v0 |  ~ (function_inverse(v2) = v1) |  ~ (function_inverse(v2) = v0)) &  !
% 168.97/23.93    [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (a_1_0_filter_1(v2) = v1)
% 168.97/23.93      |  ~ (a_1_0_filter_1(v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :
% 168.97/23.93    (v1 = v0 |  ~ (relation_of_lattice(v2) = v1) |  ~ (relation_of_lattice(v2) =
% 168.97/23.93        v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~
% 168.97/23.93      (relation_inverse(v2) = v1) |  ~ (relation_inverse(v2) = v0)) &  ! [v0: $i]
% 168.97/23.93    :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (cast_to_subset(v2) = v1) |  ~
% 168.97/23.93      (cast_to_subset(v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 =
% 168.97/23.93      v0 |  ~ (cast_as_carrier_subset(v2) = v1) |  ~ (cast_as_carrier_subset(v2) =
% 168.97/23.93        v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~
% 168.97/23.93      (boole_POSet(v2) = v1) |  ~ (boole_POSet(v2) = v0)) &  ! [v0: $i] :  ! [v1:
% 168.97/23.93      $i] :  ! [v2: $i] : (v1 = v0 |  ~ (union(v2) = v1) |  ~ (union(v2) = v0)) & 
% 168.97/23.93    ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~
% 168.97/23.93      (empty_carrier_subset(v2) = v1) |  ~ (empty_carrier_subset(v2) = v0)) &  !
% 168.97/23.93    [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (pair_second(v2) = v1) | 
% 168.97/23.93      ~ (pair_second(v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 =
% 168.97/23.93      v0 |  ~ (k2_lattice3(v2) = v1) |  ~ (k2_lattice3(v2) = v0)) &  ! [v0: $i] : 
% 168.97/23.93    ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (poset_of_lattice(v2) = v1) |  ~
% 168.97/23.93      (poset_of_lattice(v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1
% 168.97/23.93      = v0 |  ~ (inclusion_order(v2) = v1) |  ~ (inclusion_order(v2) = v0)) &  !
% 168.97/23.93    [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (incl_POSet(v2) = v1) | 
% 168.97/23.93      ~ (incl_POSet(v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 =
% 168.97/23.93      v0 |  ~ (inclusion_relation(v2) = v1) |  ~ (inclusion_relation(v2) = v0)) & 
% 168.97/23.93    ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (set_meet(v2) = v1) | 
% 168.97/23.93      ~ (set_meet(v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0
% 168.97/23.93      |  ~ (the_topology(v2) = v1) |  ~ (the_topology(v2) = v0)) &  ! [v0: $i] : 
% 168.97/23.93    ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (singleton(v2) = v1) |  ~
% 168.97/23.93      (singleton(v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |
% 168.97/23.93       ~ (succ(v2) = v1) |  ~ (succ(v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  !
% 168.97/23.93    [v2: $i] : (v1 = v0 |  ~ (pair_first(v2) = v1) |  ~ (pair_first(v2) = v0)) & 
% 168.97/23.93    ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (boole_lattice(v2) =
% 168.97/23.93        v1) |  ~ (boole_lattice(v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2:
% 168.97/23.93      $i] : (v1 = v0 |  ~ (relation_rng(v2) = v1) |  ~ (relation_rng(v2) = v0)) & 
% 168.97/23.93    ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~
% 168.97/23.93      (bottom_of_semilattstr(v2) = v1) |  ~ (bottom_of_semilattstr(v2) = v0)) &  !
% 168.97/23.93    [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (relation_field(v2) = v1)
% 168.97/23.93      |  ~ (relation_field(v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :
% 168.97/23.93    (v1 = v0 |  ~ (relation_dom(v2) = v1) |  ~ (relation_dom(v2) = v0)) &  ! [v0:
% 168.97/23.93      $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (bottom_of_relstr(v2) = v1)
% 168.97/23.93      |  ~ (bottom_of_relstr(v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i]
% 168.97/23.93    : (v1 = v0 |  ~ (identity_on_carrier(v2) = v1) |  ~ (identity_on_carrier(v2) =
% 168.97/23.93        v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~
% 168.97/23.93      (identity_as_relation_of(v2) = v1) |  ~ (identity_as_relation_of(v2) = v0))
% 168.97/23.93    &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~
% 168.97/23.93      (identity_relation(v2) = v1) |  ~ (identity_relation(v2) = v0)) &  ! [v0:
% 168.97/23.93      $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (powerset(v2) = v1) |  ~
% 168.97/23.93      (powerset(v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 | 
% 168.97/23.93      ~ (the_L_join(v2) = v1) |  ~ (the_L_join(v2) = v0)) &  ! [v0: $i] :  ! [v1:
% 168.97/23.93      $i] :  ! [v2: $i] : (v1 = v0 |  ~ (the_L_meet(v2) = v1) |  ~ (the_L_meet(v2)
% 168.97/23.93        = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~
% 168.97/23.93      (the_carrier(v2) = v1) |  ~ (the_carrier(v2) = v0)) &  ! [v0: $i] :  ! [v1:
% 168.97/23.93      $i] :  ! [v2: $i] : (v1 = v0 |  ~ (the_InternalRel(v2) = v1) |  ~
% 168.97/23.93      (the_InternalRel(v2) = v0))
% 168.97/23.93  
% 168.97/23.93  Further assumptions not needed in the proof:
% 168.97/23.94  --------------------------------------------
% 168.97/23.94  abstractness_v1_orders_2, abstractness_v3_lattices, abstractness_v6_waybel_0,
% 168.97/23.94  antisymmetry_r2_hidden, antisymmetry_r2_xboole_0, cc10_membered, cc10_waybel_0,
% 168.97/23.94  cc10_waybel_1, cc11_membered, cc11_waybel_0, cc12_membered, cc12_waybel_0,
% 168.97/23.94  cc13_membered, cc13_waybel_0, cc14_membered, cc14_waybel_0, cc15_membered,
% 168.97/23.94  cc16_membered, cc17_membered, cc18_membered, cc19_membered, cc1_arytm_3,
% 168.97/23.94  cc1_finset_1, cc1_finsub_1, cc1_funct_1, cc1_funct_2, cc1_knaster, cc1_lattice3,
% 168.97/23.94  cc1_lattices, cc1_membered, cc1_ordinal1, cc1_partfun1, cc1_relat_1,
% 168.97/23.94  cc1_relset_1, cc1_waybel_3, cc1_yellow_0, cc1_yellow_2, cc1_yellow_3,
% 168.97/23.94  cc20_membered, cc2_arytm_3, cc2_finset_1, cc2_finsub_1, cc2_funct_1,
% 168.97/23.94  cc2_funct_2, cc2_lattice3, cc2_lattices, cc2_membered, cc2_ordinal1,
% 168.97/23.94  cc2_waybel_3, cc2_yellow_0, cc2_yellow_3, cc3_arytm_3, cc3_funct_2,
% 168.97/23.94  cc3_lattices, cc3_membered, cc3_ordinal1, cc3_waybel_3, cc3_yellow_0,
% 168.97/23.94  cc3_yellow_3, cc4_funct_2, cc4_lattices, cc4_membered, cc4_waybel_3,
% 168.97/23.94  cc4_waybel_4, cc4_yellow_0, cc5_funct_2, cc5_lattices, cc5_waybel_0,
% 168.97/23.94  cc5_waybel_1, cc5_waybel_3, cc5_yellow_0, cc6_funct_2, cc6_lattices,
% 168.97/23.94  cc6_waybel_1, cc6_waybel_3, cc7_lattices, cc7_waybel_1, cc7_yellow_0,
% 168.97/23.94  cc8_waybel_1, cc9_waybel_0, cc9_waybel_1, commutativity_k2_struct_0,
% 168.97/23.94  commutativity_k2_tarski, commutativity_k2_xboole_0, commutativity_k3_lattices,
% 168.97/23.94  commutativity_k3_xboole_0, commutativity_k4_lattices, commutativity_k4_subset_1,
% 168.97/23.94  commutativity_k5_subset_1, connectedness_r1_ordinal1, d10_relat_1, d10_xboole_0,
% 168.97/23.94  d10_yellow_0, d11_grcat_1, d11_relat_1, d11_waybel_0, d11_yellow_0, d12_funct_1,
% 168.97/23.94  d12_relat_1, d12_relat_2, d12_waybel_0, d12_yellow_6, d13_funct_1, d13_lattices,
% 168.97/23.94  d13_pre_topc, d13_relat_1, d13_yellow_0, d13_yellow_6, d14_relat_1, d14_relat_2,
% 168.97/23.94  d14_yellow_0, d16_lattice3, d16_lattices, d16_relat_2, d17_lattice3,
% 168.97/23.94  d18_yellow_6, d1_binop_1, d1_connsp_2, d1_enumset1, d1_finset_1, d1_funct_1,
% 168.97/23.94  d1_funct_2, d1_lattice3, d1_lattices, d1_mcart_1, d1_ordinal1, d1_pre_topc,
% 168.97/23.94  d1_relat_1, d1_relat_2, d1_relset_1, d1_setfam_1, d1_struct_0, d1_tarski,
% 168.97/23.94  d1_tops_1, d1_tops_2, d1_waybel_0, d1_wellord1, d1_wellord2, d1_xboole_0,
% 168.97/23.94  d1_yellow_1, d1_zfmisc_1, d20_waybel_0, d21_lattice3, d22_lattice3, d2_compts_1,
% 168.97/23.94  d2_lattice3, d2_lattices, d2_mcart_1, d2_ordinal1, d2_pre_topc, d2_relat_1,
% 168.97/23.94  d2_subset_1, d2_tarski, d2_tex_2, d2_tops_2, d2_wellord1, d2_xboole_0,
% 168.97/23.94  d2_yellow_0, d2_yellow_1, d2_zfmisc_1, d3_compts_1, d3_lattice3, d3_lattices,
% 168.97/23.94  d3_ordinal1, d3_pre_topc, d3_relat_1, d3_tarski, d3_wellord1, d3_xboole_0,
% 168.97/23.94  d4_funct_1, d4_lattice3, d4_ordinal1, d4_relat_1, d4_relat_2, d4_subset_1,
% 168.97/23.94  d4_tarski, d4_wellord1, d4_wellord2, d4_xboole_0, d4_yellow_0, d5_funct_1,
% 168.97/23.94  d5_orders_2, d5_ordinal2, d5_pre_topc, d5_relat_1, d5_subset_1, d5_tarski,
% 168.97/23.94  d5_wellord1, d5_yellow_6, d6_orders_2, d6_ordinal1, d6_pre_topc, d6_relat_1,
% 168.97/23.94  d6_relat_2, d6_wellord1, d7_relat_1, d7_wellord1, d7_xboole_0, d7_yellow_0,
% 168.97/23.94  d8_filter_1, d8_funct_1, d8_lattice3, d8_lattices, d8_pre_topc, d8_relat_1,
% 168.97/23.94  d8_relat_2, d8_setfam_1, d8_waybel_0, d8_xboole_0, d8_yellow_0, d8_yellow_6,
% 168.97/23.94  d9_funct_1, d9_lattice3, d9_orders_2, d9_relat_2, d9_yellow_0, d9_yellow_6,
% 168.97/23.94  dt_g1_orders_2, dt_g1_waybel_0, dt_g3_lattices, dt_k10_filter_1, dt_k10_relat_1,
% 168.97/23.94  dt_k11_yellow_6, dt_k15_lattice3, dt_k16_lattice3, dt_k1_binop_1,
% 168.97/23.94  dt_k1_domain_1, dt_k1_enumset1, dt_k1_funct_1, dt_k1_lattice3, dt_k1_lattices,
% 168.97/23.94  dt_k1_mcart_1, dt_k1_ordinal1, dt_k1_pcomps_1, dt_k1_pre_topc, dt_k1_relat_1,
% 168.97/23.94  dt_k1_setfam_1, dt_k1_tarski, dt_k1_toler_1, dt_k1_tops_1, dt_k1_waybel_0,
% 168.97/23.94  dt_k1_wellord1, dt_k1_wellord2, dt_k1_xboole_0, dt_k1_yellow_0, dt_k1_yellow_1,
% 168.97/23.94  dt_k1_zfmisc_1, dt_k2_binop_1, dt_k2_funct_1, dt_k2_lattice3, dt_k2_lattices,
% 168.97/23.94  dt_k2_mcart_1, dt_k2_pre_topc, dt_k2_relat_1, dt_k2_struct_0, dt_k2_subset_1,
% 168.97/23.94  dt_k2_tarski, dt_k2_wellord1, dt_k2_xboole_0, dt_k2_yellow_0, dt_k2_yellow_1,
% 168.97/23.94  dt_k2_zfmisc_1, dt_k3_lattice3, dt_k3_lattices, dt_k3_relat_1, dt_k3_subset_1,
% 168.97/23.94  dt_k3_tarski, dt_k3_waybel_0, dt_k3_xboole_0, dt_k3_yellow_6, dt_k4_lattice3,
% 168.97/23.94  dt_k4_lattices, dt_k4_relat_1, dt_k4_relset_1, dt_k4_subset_1, dt_k4_tarski,
% 168.97/23.94  dt_k4_xboole_0, dt_k5_lattice3, dt_k5_lattices, dt_k5_ordinal2, dt_k5_pre_topc,
% 168.97/23.94  dt_k5_relat_1, dt_k5_relset_1, dt_k5_setfam_1, dt_k5_subset_1, dt_k6_partfun1,
% 168.97/23.94  dt_k6_pre_topc, dt_k6_relat_1, dt_k6_setfam_1, dt_k6_subset_1, dt_k6_yellow_6,
% 168.97/23.94  dt_k7_funct_2, dt_k7_grcat_1, dt_k7_relat_1, dt_k7_setfam_1, dt_k8_filter_1,
% 168.97/23.94  dt_k8_funct_2, dt_k8_relat_1, dt_k8_relset_1, dt_k9_filter_1, dt_k9_relat_1,
% 168.97/23.94  dt_l1_lattices, dt_l1_orders_2, dt_l1_pre_topc, dt_l1_struct_0, dt_l1_waybel_0,
% 168.97/23.94  dt_l2_lattices, dt_l3_lattices, dt_m1_connsp_2, dt_m1_relset_1, dt_m1_subset_1,
% 168.97/23.94  dt_m1_yellow_0, dt_m1_yellow_6, dt_m2_relset_1, dt_m2_yellow_6, dt_u1_lattices,
% 168.97/23.94  dt_u1_orders_2, dt_u1_pre_topc, dt_u1_struct_0, dt_u1_waybel_0, dt_u2_lattices,
% 168.97/23.94  existence_l1_lattices, existence_l1_orders_2, existence_l1_pre_topc,
% 168.97/23.94  existence_l1_struct_0, existence_l1_waybel_0, existence_l2_lattices,
% 168.97/23.94  existence_l3_lattices, existence_m1_connsp_2, existence_m1_relset_1,
% 168.97/23.94  existence_m1_subset_1, existence_m1_yellow_0, existence_m1_yellow_6,
% 168.97/23.94  existence_m2_relset_1, existence_m2_yellow_6, fc10_finset_1, fc10_relat_1,
% 168.97/23.94  fc11_finset_1, fc11_relat_1, fc12_finset_1, fc12_relat_1, fc13_finset_1,
% 168.97/23.94  fc13_relat_1, fc13_yellow_3, fc14_finset_1, fc15_yellow_6, fc17_yellow_6,
% 168.97/23.94  fc1_finset_1, fc1_finsub_1, fc1_funct_1, fc1_knaster, fc1_lattice3,
% 168.97/23.94  fc1_orders_2, fc1_ordinal1, fc1_ordinal2, fc1_pre_topc, fc1_relat_1,
% 168.97/23.94  fc1_struct_0, fc1_subset_1, fc1_waybel_1, fc1_waybel_7, fc1_xboole_0,
% 168.97/23.94  fc1_yellow_0, fc1_yellow_1, fc1_zfmisc_1, fc27_membered, fc28_membered,
% 168.97/23.94  fc29_membered, fc2_arytm_3, fc2_finset_1, fc2_funct_1, fc2_lattice2,
% 168.97/23.94  fc2_lattice3, fc2_orders_2, fc2_ordinal1, fc2_partfun1, fc2_pre_topc,
% 168.97/23.94  fc2_relat_1, fc2_subset_1, fc2_tops_1, fc2_waybel_7, fc2_xboole_0, fc2_yellow_1,
% 168.97/23.94  fc30_membered, fc31_membered, fc32_membered, fc33_membered, fc34_membered,
% 168.97/23.94  fc35_membered, fc36_membered, fc37_membered, fc38_membered, fc39_membered,
% 168.97/23.94  fc3_funct_1, fc3_lattice2, fc3_lattice3, fc3_lattices, fc3_orders_2,
% 168.97/23.94  fc3_ordinal1, fc3_relat_1, fc3_subset_1, fc3_tops_1, fc3_xboole_0, fc3_yellow_1,
% 168.97/23.94  fc40_membered, fc41_membered, fc4_funct_1, fc4_lattice2, fc4_lattice3,
% 168.97/23.94  fc4_ordinal1, fc4_relat_1, fc4_subset_1, fc4_tops_1, fc4_yellow_1, fc5_funct_1,
% 168.97/23.94  fc5_lattice2, fc5_pre_topc, fc5_relat_1, fc5_yellow_1, fc6_membered,
% 168.97/23.94  fc6_relat_1, fc6_tops_1, fc6_waybel_0, fc6_yellow_1, fc7_relat_1, fc7_yellow_1,
% 168.97/23.94  fc8_relat_1, fc8_yellow_1, fc9_finset_1, fc9_relat_1, fc9_waybel_1,
% 168.97/23.94  fraenkel_a_1_0_filter_1, fraenkel_a_2_2_lattice3, fraenkel_a_2_3_lattice3,
% 168.97/23.94  free_g1_orders_2, free_g1_waybel_0, free_g3_lattices, idempotence_k2_xboole_0,
% 168.97/23.94  idempotence_k3_xboole_0, idempotence_k4_subset_1, idempotence_k5_subset_1,
% 168.97/23.94  involutiveness_k3_subset_1, involutiveness_k4_relat_1,
% 168.97/23.94  involutiveness_k7_setfam_1, irreflexivity_r2_xboole_0, l1_wellord1, l1_zfmisc_1,
% 168.97/23.94  l23_zfmisc_1, l25_zfmisc_1, l28_zfmisc_1, l29_wellord1, l2_wellord1,
% 168.97/23.94  l2_zfmisc_1, l30_wellord2, l32_xboole_1, l3_subset_1, l3_wellord1, l3_zfmisc_1,
% 168.97/23.94  l40_tops_1, l4_wellord1, l4_zfmisc_1, l50_zfmisc_1, l55_zfmisc_1, l71_subset_1,
% 168.97/23.94  l82_funct_1, rc10_lattices, rc10_waybel_0, rc11_lattices, rc12_lattices,
% 168.97/23.94  rc12_waybel_0, rc13_lattices, rc13_waybel_0, rc1_arytm_3, rc1_finset_1,
% 168.97/23.94  rc1_funct_1, rc1_funct_2, rc1_lattice3, rc1_membered, rc1_orders_2,
% 168.97/23.94  rc1_ordinal1, rc1_ordinal2, rc1_partfun1, rc1_pboole, rc1_relat_1, rc1_subset_1,
% 168.97/23.94  rc1_tops_1, rc1_waybel_0, rc1_waybel_3, rc1_waybel_6, rc1_waybel_7,
% 168.97/23.94  rc1_xboole_0, rc1_yellow_0, rc1_yellow_3, rc2_finset_1, rc2_funct_1,
% 168.97/23.94  rc2_funct_2, rc2_lattice3, rc2_orders_2, rc2_ordinal1, rc2_partfun1,
% 168.97/23.94  rc2_relat_1, rc2_subset_1, rc2_tex_2, rc2_tops_1, rc2_waybel_0, rc2_waybel_3,
% 168.97/23.94  rc2_waybel_7, rc2_xboole_0, rc2_yellow_0, rc3_finset_1, rc3_funct_1,
% 168.97/23.94  rc3_lattices, rc3_ordinal1, rc3_partfun1, rc3_relat_1, rc3_struct_0,
% 168.97/23.94  rc3_waybel_7, rc4_finset_1, rc4_funct_1, rc4_waybel_0, rc4_waybel_1,
% 168.97/23.94  rc5_struct_0, rc5_waybel_1, rc6_lattices, rc6_pre_topc, rc6_yellow_6,
% 168.97/23.94  rc7_pre_topc, rc7_yellow_6, rc9_lattices, redefinition_k10_filter_1,
% 168.97/23.94  redefinition_k1_domain_1, redefinition_k1_pcomps_1, redefinition_k1_toler_1,
% 168.97/23.94  redefinition_k1_waybel_0, redefinition_k1_yellow_1, redefinition_k2_binop_1,
% 168.97/23.94  redefinition_k2_lattice3, redefinition_k2_struct_0, redefinition_k3_lattices,
% 168.97/23.94  redefinition_k3_yellow_6, redefinition_k4_lattices, redefinition_k4_relset_1,
% 168.97/23.94  redefinition_k4_subset_1, redefinition_k5_pre_topc, redefinition_k5_relset_1,
% 168.97/23.94  redefinition_k5_setfam_1, redefinition_k5_subset_1, redefinition_k6_partfun1,
% 168.97/23.94  redefinition_k6_setfam_1, redefinition_k6_subset_1, redefinition_k7_funct_2,
% 168.97/23.94  redefinition_k8_funct_2, redefinition_k8_relset_1, redefinition_m2_relset_1,
% 168.97/23.94  redefinition_r1_ordinal1, redefinition_r2_wellord2, redefinition_r3_lattices,
% 168.97/23.94  redefinition_r3_orders_2, reflexivity_r1_ordinal1, reflexivity_r1_tarski,
% 168.97/23.94  reflexivity_r2_wellord2, reflexivity_r3_lattices, reflexivity_r3_orders_2,
% 168.97/23.94  s1_funct_1__e10_24__wellord2__1, s1_funct_1__e16_22__wellord2__1,
% 168.97/23.94  s1_funct_1__e4_7_1__tops_2__1, s1_funct_1__e4_7_2__tops_2__1,
% 168.97/23.94  s1_ordinal1__e8_6__wellord2, s1_ordinal2__e18_27__finset_1,
% 168.97/23.94  s1_relat_1__e6_21__wellord2, s1_tarski__e10_24__wellord2__1,
% 168.97/23.94  s1_tarski__e10_24__wellord2__2, s1_tarski__e11_2_1__waybel_0__1,
% 168.97/23.94  s1_tarski__e16_22__wellord2__1, s1_tarski__e16_22__wellord2__2,
% 168.97/23.94  s1_tarski__e18_27__finset_1__1, s1_tarski__e1_40__pre_topc__1,
% 168.97/23.94  s1_tarski__e2_37_1_1__pre_topc__1, s1_tarski__e4_27_3_1__finset_1__1,
% 168.97/23.94  s1_tarski__e4_7_1__tops_2__1, s1_tarski__e4_7_1__tops_2__2,
% 168.97/23.94  s1_tarski__e4_7_2__tops_2__1, s1_tarski__e4_7_2__tops_2__2,
% 168.97/23.94  s1_tarski__e6_21__wellord2__1, s1_tarski__e6_22__wellord2__1,
% 168.97/23.94  s1_tarski__e6_27__finset_1__1, s1_tarski__e8_6__wellord2__1,
% 168.97/23.94  s1_xboole_0__e10_24__wellord2__1, s1_xboole_0__e11_2_1__waybel_0__1,
% 168.97/23.94  s1_xboole_0__e16_22__wellord2__1, s1_xboole_0__e18_27__finset_1__1,
% 168.97/23.94  s1_xboole_0__e1_40__pre_topc__1, s1_xboole_0__e2_37_1_1__pre_topc__1,
% 168.97/23.94  s1_xboole_0__e4_27_3_1__finset_1, s1_xboole_0__e4_7_1__tops_2__1,
% 168.97/23.94  s1_xboole_0__e4_7_2__tops_2__1, s1_xboole_0__e6_21__wellord2__1,
% 168.97/23.94  s1_xboole_0__e6_22__wellord2, s1_xboole_0__e6_27__finset_1,
% 168.97/23.94  s1_xboole_0__e8_6__wellord2__1, s2_finset_1__e11_2_1__waybel_0,
% 168.97/23.94  s2_funct_1__e10_24__wellord2, s2_funct_1__e16_22__wellord2__1,
% 168.97/23.94  s2_funct_1__e4_7_1__tops_2, s2_funct_1__e4_7_2__tops_2,
% 168.97/23.94  s2_ordinal1__e18_27__finset_1__1, s3_funct_1__e16_22__wellord2,
% 168.97/23.94  s3_subset_1__e1_40__pre_topc, s3_subset_1__e2_37_1_1__pre_topc,
% 168.97/23.94  symmetry_r1_xboole_0, symmetry_r2_wellord2, t106_zfmisc_1, t10_ordinal1,
% 168.97/23.94  t10_tops_2, t10_zfmisc_1, t115_relat_1, t116_relat_1, t117_relat_1,
% 168.97/23.94  t118_relat_1, t118_zfmisc_1, t119_relat_1, t119_zfmisc_1, t11_tops_2,
% 168.97/23.94  t11_waybel_7, t12_pre_topc, t12_relset_1, t12_tops_2, t12_xboole_1,
% 168.97/23.94  t136_zfmisc_1, t13_compts_1, t13_finset_1, t13_tops_2, t140_relat_1,
% 168.97/23.94  t143_relat_1, t144_relat_1, t145_funct_1, t145_relat_1, t146_funct_1,
% 168.97/23.94  t146_relat_1, t147_funct_1, t14_relset_1, t15_finset_1, t15_pre_topc,
% 168.97/23.94  t15_yellow_0, t160_relat_1, t166_relat_1, t167_relat_1, t16_relset_1,
% 168.97/23.94  t16_tops_2, t16_wellord1, t16_yellow_0, t174_relat_1, t178_relat_1,
% 168.97/23.94  t17_finset_1, t17_pre_topc, t17_tops_2, t17_wellord1, t17_xboole_1,
% 168.97/23.94  t18_finset_1, t18_wellord1, t19_wellord1, t19_xboole_1, t19_yellow_6, t1_boole,
% 168.97/23.94  t1_lattice3, t1_subset, t1_waybel_0, t1_xboole_1, t1_zfmisc_1, t20_relat_1,
% 168.97/23.94  t20_wellord1, t20_yellow_6, t21_funct_1, t21_funct_2, t21_ordinal1, t21_relat_1,
% 168.97/23.94  t21_wellord1, t21_yellow_6, t22_funct_1, t22_pre_topc, t22_relset_1,
% 168.97/23.94  t22_wellord1, t23_funct_1, t23_lattices, t23_ordinal1, t23_relset_1,
% 168.97/23.94  t23_wellord1, t24_ordinal1, t24_wellord1, t25_orders_2, t25_relat_1,
% 168.97/23.94  t25_wellord1, t25_wellord2, t26_finset_1, t26_lattices, t26_orders_2,
% 168.97/23.94  t26_wellord2, t26_xboole_1, t28_lattice3, t28_wellord2, t28_xboole_1,
% 168.97/23.94  t28_yellow_6, t29_lattice3, t29_tops_1, t29_yellow_0, t2_boole, t2_lattice3,
% 168.97/23.94  t2_subset, t2_tarski, t2_wellord2, t2_xboole_1, t2_yellow_1, t30_lattice3,
% 168.97/23.94  t30_relat_1, t30_tops_1, t30_yellow_0, t30_yellow_6, t31_lattice3, t31_ordinal1,
% 168.97/23.94  t31_wellord1, t31_yellow_6, t32_filter_1, t32_ordinal1, t32_wellord1,
% 168.97/23.94  t32_yellow_6, t33_ordinal1, t33_xboole_1, t33_zfmisc_1, t34_funct_1,
% 168.97/23.94  t34_lattice3, t35_funct_1, t36_xboole_1, t37_relat_1, t37_xboole_1,
% 168.97/23.94  t37_zfmisc_1, t38_zfmisc_1, t39_wellord1, t39_xboole_1, t39_zfmisc_1, t3_boole,
% 168.97/23.94  t3_lattice3, t3_ordinal1, t3_subset, t3_wellord2, t3_xboole_0, t3_xboole_1,
% 168.97/23.94  t40_xboole_1, t41_ordinal1, t41_yellow_6, t42_ordinal1, t42_yellow_0,
% 168.97/23.94  t43_subset_1, t44_pre_topc, t44_relat_1, t44_tops_1, t44_yellow_0, t45_pre_topc,
% 168.97/23.94  t45_relat_1, t45_xboole_1, t46_funct_2, t46_pre_topc, t46_relat_1, t46_setfam_1,
% 168.97/23.94  t46_zfmisc_1, t47_relat_1, t47_setfam_1, t48_pre_topc, t48_setfam_1,
% 168.97/23.94  t48_xboole_1, t49_wellord1, t4_boole, t4_subset, t4_wellord2, t4_xboole_0,
% 168.97/23.94  t50_lattice3, t50_subset_1, t51_tops_1, t52_pre_topc, t53_wellord1, t54_funct_1,
% 168.97/23.94  t54_subset_1, t54_wellord1, t55_funct_1, t55_tops_1, t56_relat_1, t57_funct_1,
% 168.97/23.94  t5_connsp_2, t5_subset, t5_tex_2, t5_tops_2, t5_wellord1, t5_wellord2,
% 168.97/23.94  t60_relat_1, t60_xboole_1, t60_yellow_0, t61_yellow_0, t62_funct_1,
% 168.97/23.94  t63_xboole_1, t64_relat_1, t65_relat_1, t65_zfmisc_1, t68_funct_1, t69_enumset1,
% 168.97/23.94  t6_boole, t6_funct_2, t6_wellord2, t6_yellow_0, t6_yellow_6, t6_zfmisc_1,
% 168.97/23.94  t70_funct_1, t71_relat_1, t72_funct_1, t74_relat_1, t7_boole, t7_lattice3,
% 168.97/23.94  t7_mcart_1, t7_tarski, t7_wellord2, t7_xboole_1, t83_xboole_1, t86_relat_1,
% 168.97/23.94  t88_relat_1, t8_boole, t8_funct_1, t8_waybel_0, t8_wellord1, t8_xboole_1,
% 168.97/23.94  t8_zfmisc_1, t90_relat_1, t91_tmap_1, t92_zfmisc_1, t94_relat_1, t99_relat_1,
% 168.97/23.94  t99_zfmisc_1, t9_funct_2, t9_tarski, t9_zfmisc_1
% 168.97/23.94  
% 168.97/23.94  Those formulas are unsatisfiable:
% 168.97/23.94  ---------------------------------
% 168.97/23.94  
% 168.97/23.94  Begin of proof
% 168.97/23.94  | 
% 168.97/23.94  | ALPHA: (dt_k3_yellow_1) implies:
% 168.97/23.94  |   (1)   ! [v0: $i] :  ! [v1: $i] : ( ~ (boole_POSet(v0) = v1) |  ~ $i(v0) |
% 168.97/23.94  |          rel_str(v1))
% 168.97/23.94  | 
% 168.97/23.94  | ALPHA: (t18_yellow_1) implies:
% 168.97/23.94  |   (2)   ! [v0: $i] :  ! [v1: $i] : ( ~ (boole_POSet(v0) = v1) |  ~ $i(v0) |
% 168.97/23.94  |          bottom_of_relstr(v1) = empty_set)
% 168.97/23.94  | 
% 168.97/23.94  | ALPHA: (t1_yellow_1) implies:
% 168.97/23.94  |   (3)   ! [v0: $i] :  ! [v1: $i] : ( ~ (incl_POSet(v0) = v1) |  ~ $i(v0) |
% 168.97/23.94  |          the_carrier(v1) = v0)
% 168.97/23.94  | 
% 168.97/23.94  | ALPHA: (function-axioms) implies:
% 168.97/23.95  |   (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~
% 168.97/23.95  |          (the_carrier(v2) = v1) |  ~ (the_carrier(v2) = v0))
% 168.97/23.95  |   (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (powerset(v2) =
% 168.97/23.95  |            v1) |  ~ (powerset(v2) = v0))
% 168.97/23.95  | 
% 168.97/23.95  | DELTA: instantiating (t4_waybel_7) with fresh symbols all_784_0, all_784_1,
% 168.97/23.95  |        all_784_2, all_784_3 gives:
% 168.97/23.95  |   (6)   ~ (all_784_0 = all_784_1) & boole_POSet(all_784_3) = all_784_2 &
% 168.97/23.95  |        powerset(all_784_3) = all_784_0 & the_carrier(all_784_2) = all_784_1 &
% 168.97/23.95  |        $i(all_784_0) & $i(all_784_1) & $i(all_784_2) & $i(all_784_3)
% 168.97/23.95  | 
% 168.97/23.95  | ALPHA: (6) implies:
% 168.97/23.95  |   (7)   ~ (all_784_0 = all_784_1)
% 168.97/23.95  |   (8)  $i(all_784_3)
% 168.97/23.95  |   (9)  the_carrier(all_784_2) = all_784_1
% 168.97/23.95  |   (10)  powerset(all_784_3) = all_784_0
% 168.97/23.95  |   (11)  boole_POSet(all_784_3) = all_784_2
% 168.97/23.95  | 
% 168.97/23.95  | GROUND_INST: instantiating (2) with all_784_3, all_784_2, simplifying with
% 168.97/23.95  |              (8), (11) gives:
% 168.97/23.95  |   (12)  bottom_of_relstr(all_784_2) = empty_set
% 168.97/23.95  | 
% 168.97/23.95  | GROUND_INST: instantiating (1) with all_784_3, all_784_2, simplifying with
% 168.97/23.95  |              (8), (11) gives:
% 168.97/23.95  |   (13)  rel_str(all_784_2)
% 168.97/23.95  | 
% 168.97/23.95  | GROUND_INST: instantiating (t4_yellow_1) with all_784_3, all_784_2,
% 168.97/23.95  |              simplifying with (8), (11) gives:
% 168.97/23.95  |   (14)   ? [v0: $i] : (incl_POSet(v0) = all_784_2 & powerset(all_784_3) = v0 &
% 168.97/23.95  |           $i(v0) & $i(all_784_2))
% 168.97/23.95  | 
% 168.97/23.95  | DELTA: instantiating (14) with fresh symbol all_1036_0 gives:
% 168.97/23.95  |   (15)  incl_POSet(all_1036_0) = all_784_2 & powerset(all_784_3) = all_1036_0
% 168.97/23.95  |         & $i(all_1036_0) & $i(all_784_2)
% 168.97/23.95  | 
% 168.97/23.95  | ALPHA: (15) implies:
% 168.97/23.95  |   (16)  $i(all_784_2)
% 168.97/23.95  |   (17)  $i(all_1036_0)
% 168.97/23.95  |   (18)  powerset(all_784_3) = all_1036_0
% 168.97/23.95  |   (19)  incl_POSet(all_1036_0) = all_784_2
% 168.97/23.95  | 
% 168.97/23.95  | GROUND_INST: instantiating (5) with all_784_0, all_1036_0, all_784_3,
% 168.97/23.95  |              simplifying with (10), (18) gives:
% 168.97/23.95  |   (20)  all_1036_0 = all_784_0
% 168.97/23.95  | 
% 168.97/23.95  | REDUCE: (19), (20) imply:
% 168.97/23.95  |   (21)  incl_POSet(all_784_0) = all_784_2
% 168.97/23.95  | 
% 168.97/23.95  | REDUCE: (17), (20) imply:
% 168.97/23.95  |   (22)  $i(all_784_0)
% 168.97/23.95  | 
% 168.97/23.95  | GROUND_INST: instantiating (dt_k3_yellow_0) with all_784_2, empty_set,
% 168.97/23.95  |              simplifying with (12), (13), (16) gives:
% 168.97/23.95  |   (23)   ? [v0: $i] : (the_carrier(all_784_2) = v0 & $i(v0) &
% 168.97/23.95  |           element(empty_set, v0))
% 168.97/23.95  | 
% 168.97/23.95  | GROUND_INST: instantiating (3) with all_784_0, all_784_2, simplifying with
% 168.97/23.95  |              (21), (22) gives:
% 168.97/23.95  |   (24)  the_carrier(all_784_2) = all_784_0
% 168.97/23.95  | 
% 168.97/23.95  | DELTA: instantiating (23) with fresh symbol all_1309_0 gives:
% 168.97/23.96  |   (25)  the_carrier(all_784_2) = all_1309_0 & $i(all_1309_0) &
% 168.97/23.96  |         element(empty_set, all_1309_0)
% 168.97/23.96  | 
% 168.97/23.96  | ALPHA: (25) implies:
% 168.97/23.96  |   (26)  the_carrier(all_784_2) = all_1309_0
% 168.97/23.96  | 
% 168.97/23.96  | GROUND_INST: instantiating (4) with all_784_1, all_1309_0, all_784_2,
% 168.97/23.96  |              simplifying with (9), (26) gives:
% 168.97/23.96  |   (27)  all_1309_0 = all_784_1
% 168.97/23.96  | 
% 168.97/23.96  | GROUND_INST: instantiating (4) with all_784_0, all_1309_0, all_784_2,
% 168.97/23.96  |              simplifying with (24), (26) gives:
% 168.97/23.96  |   (28)  all_1309_0 = all_784_0
% 168.97/23.96  | 
% 168.97/23.96  | COMBINE_EQS: (27), (28) imply:
% 168.97/23.96  |   (29)  all_784_0 = all_784_1
% 168.97/23.96  | 
% 168.97/23.96  | REDUCE: (7), (29) imply:
% 168.97/23.96  |   (30)  $false
% 168.97/23.96  | 
% 168.97/23.96  | CLOSE: (30) is inconsistent.
% 168.97/23.96  | 
% 168.97/23.96  End of proof
% 168.97/23.96  % SZS output end Proof for theBenchmark
% 168.97/23.96  
% 168.97/23.96  23292ms
%------------------------------------------------------------------------------