TSTP Solution File: GRP620+1 by ePrincess---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : GRP620+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n005.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  : 600s
% DateTime : Sat Jul 16 08:43:02 EDT 2022

% Result   : Theorem 15.52s 4.27s
% Output   : Proof 19.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GRP620+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12  % Command  : ePrincess-casc -timeout=%d %s
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun 13 15:46:54 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.45/0.61          ____       _                          
% 0.45/0.61    ___  / __ \_____(_)___  ________  __________
% 0.45/0.61   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.45/0.61  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.45/0.61  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.45/0.61  
% 0.45/0.61  A Theorem Prover for First-Order Logic
% 0.45/0.61  (ePrincess v.1.0)
% 0.45/0.61  
% 0.45/0.61  (c) Philipp Rümmer, 2009-2015
% 0.45/0.61  (c) Peter Backeman, 2014-2015
% 0.45/0.61  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.45/0.61  Free software under GNU Lesser General Public License (LGPL).
% 0.45/0.61  Bug reports to peter@backeman.se
% 0.45/0.61  
% 0.45/0.61  For more information, visit http://user.uu.se/~petba168/breu/
% 0.45/0.61  
% 0.45/0.61  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.66/0.66  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.04/1.02  Prover 0: Preprocessing ...
% 3.85/1.43  Prover 0: Warning: ignoring some quantifiers
% 3.92/1.47  Prover 0: Constructing countermodel ...
% 15.52/4.27  Prover 0: proved (3612ms)
% 15.52/4.27  
% 15.52/4.27  No countermodel exists, formula is valid
% 15.52/4.27  % SZS status Theorem for theBenchmark
% 15.52/4.28  
% 15.52/4.28  Generating proof ... Warning: ignoring some quantifiers
% 18.71/4.98  found it (size 265)
% 18.71/4.98  
% 18.71/4.98  % SZS output start Proof for theBenchmark
% 18.71/4.99  Assumed formulas after preprocessing and simplification: 
% 18.71/4.99  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] : (k2_funct_1(v3) = v4 & k1_autgroup(v0) = v2 & u1_struct_0(v0) = v1 & l1_struct_0(v16) & l1_struct_0(v5) & v2_funct_1(v12) & v2_funct_1(v7) & v2_group_1(v6) & v1_xboole_0(v12) & v1_xboole_0(v11) & v1_xboole_0(v10) & v1_xboole_0(k1_xboole_0) & v1_funct_1(v14) & v1_funct_1(v12) & v1_funct_1(v10) & v1_funct_1(v7) & v1_relat_1(v14) & v1_relat_1(v12) & v1_relat_1(v10) & v1_relat_1(v7) & v1_fraenkel(v15) & m2_fraenkel(v3, v1, v1, v2) & l1_group_1(v17) & l1_group_1(v13) & l1_group_1(v9) & l1_group_1(v6) & l1_group_1(v0) & v4_group_1(v6) & v4_group_1(v0) & v3_group_1(v6) & v3_group_1(v0) & v1_group_1(v13) & v1_group_1(v9) & v1_group_1(v6) & v1_group_1(v0) &  ~ v1_xboole_0(v15) &  ~ v1_xboole_0(v8) &  ~ m2_fraenkel(v4, v1, v1, v2) &  ~ v3_struct_0(v9) &  ~ v3_struct_0(v6) &  ~ v3_struct_0(v5) &  ~ v3_struct_0(v0) &  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (k2_funct_1(v22) = v23) |  ~ (u1_struct_0(v20) = v21) |  ~ (u1_struct_0(v18) = v19) |  ~ v4_group_6(v22, v20, v18) |  ~ m2_relset_1(v23, v19, v21) |  ~ m2_relset_1(v22, v21, v19) |  ~ v1_group_6(v23, v18, v20) |  ~ v1_group_6(v22, v20, v18) |  ~ v1_funct_2(v23, v19, v21) |  ~ v1_funct_2(v22, v21, v19) |  ~ v1_funct_1(v23) |  ~ v1_funct_1(v22) |  ~ l1_group_1(v20) |  ~ l1_group_1(v18) |  ~ v4_group_1(v20) |  ~ v4_group_1(v18) |  ~ v3_group_1(v20) |  ~ v3_group_1(v18) | v4_group_6(v23, v18, v20) | v3_struct_0(v20) | v3_struct_0(v18)) &  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = v19 |  ~ (g1_group_1(v21, v22) = v20) |  ~ (g1_group_1(v18, v19) = v20) |  ~ v1_funct_1(v19) |  ? [v23] : (k2_zfmisc_1(v18, v18) = v23 & ( ~ v1_funct_2(v19, v23, v18) |  ~ m1_relset_1(v19, v23, v18)))) &  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v18 |  ~ (g1_group_1(v21, v22) = v20) |  ~ (g1_group_1(v18, v19) = v20) |  ~ v1_funct_1(v19) |  ? [v23] : (k2_zfmisc_1(v18, v18) = v23 & ( ~ v1_funct_2(v19, v23, v18) |  ~ m1_relset_1(v19, v23, v18)))) &  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (u1_struct_0(v20) = v21) |  ~ (u1_struct_0(v18) = v19) |  ~ v3_group_6(v22, v18, v20) |  ~ v2_group_6(v22, v18, v20) |  ~ m2_relset_1(v22, v19, v21) |  ~ v1_group_6(v22, v18, v20) |  ~ v1_funct_2(v22, v19, v21) |  ~ v1_funct_1(v22) |  ~ l1_group_1(v20) |  ~ l1_group_1(v18) |  ~ v4_group_1(v20) |  ~ v4_group_1(v18) |  ~ v3_group_1(v20) |  ~ v3_group_1(v18) | v4_group_6(v22, v18, v20) | v3_struct_0(v20) | v3_struct_0(v18)) &  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (u1_struct_0(v20) = v21) |  ~ (u1_struct_0(v18) = v19) |  ~ v4_group_6(v22, v18, v20) |  ~ m2_relset_1(v22, v19, v21) |  ~ v1_group_6(v22, v18, v20) |  ~ v1_funct_2(v22, v19, v21) |  ~ v1_funct_1(v22) |  ~ l1_group_1(v20) |  ~ l1_group_1(v18) |  ~ v4_group_1(v20) |  ~ v4_group_1(v18) |  ~ v3_group_1(v20) |  ~ v3_group_1(v18) | v3_group_6(v22, v18, v20) | v3_struct_0(v20) | v3_struct_0(v18)) &  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (u1_struct_0(v20) = v21) |  ~ (u1_struct_0(v18) = v19) |  ~ v4_group_6(v22, v18, v20) |  ~ m2_relset_1(v22, v19, v21) |  ~ v1_group_6(v22, v18, v20) |  ~ v1_funct_2(v22, v19, v21) |  ~ v1_funct_1(v22) |  ~ l1_group_1(v20) |  ~ l1_group_1(v18) |  ~ v4_group_1(v20) |  ~ v4_group_1(v18) |  ~ v3_group_1(v20) |  ~ v3_group_1(v18) | v2_group_6(v22, v18, v20) | v3_struct_0(v20) | v3_struct_0(v18)) &  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (u1_struct_0(v20) = v21) |  ~ (u1_struct_0(v18) = v19) |  ~ v2_group_6(v22, v18, v20) |  ~ m2_relset_1(v22, v19, v21) |  ~ v1_group_6(v22, v18, v20) |  ~ v1_funct_2(v22, v19, v21) |  ~ v1_funct_1(v22) |  ~ l1_group_1(v20) |  ~ l1_group_1(v18) |  ~ v4_group_1(v20) |  ~ v4_group_1(v18) |  ~ v3_group_1(v20) |  ~ v3_group_1(v18) | v2_funct_1(v22) | v3_struct_0(v20) | v3_struct_0(v18)) &  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (u1_struct_0(v20) = v21) |  ~ (u1_struct_0(v18) = v19) |  ~ m2_relset_1(v22, v19, v21) |  ~ v1_group_6(v22, v18, v20) |  ~ v2_funct_1(v22) |  ~ v1_funct_2(v22, v19, v21) |  ~ v1_funct_1(v22) |  ~ l1_group_1(v20) |  ~ l1_group_1(v18) |  ~ v4_group_1(v20) |  ~ v4_group_1(v18) |  ~ v3_group_1(v20) |  ~ v3_group_1(v18) | v2_group_6(v22, v18, v20) | v3_struct_0(v20) | v3_struct_0(v18)) &  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] : (v21 = v18 |  ~ (u1_struct_0(v18) = v19) |  ~ (u1_group_1(v18) = v20) |  ~ (g1_group_1(v19, v20) = v21) |  ~ l1_group_1(v18) |  ~ v1_group_1(v18)) &  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] : (v19 = v18 |  ~ (k2_zfmisc_1(v21, v20) = v19) |  ~ (k2_zfmisc_1(v21, v20) = v18)) &  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] : (v19 = v18 |  ~ (g1_group_1(v21, v20) = v19) |  ~ (g1_group_1(v21, v20) = v18)) &  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (k2_zfmisc_1(v18, v19) = v21) |  ~ m2_relset_1(v20, v18, v19) |  ? [v22] : (k1_zfmisc_1(v21) = v22 & m1_subset_1(v20, v22))) &  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (k1_zfmisc_1(v20) = v21) |  ~ v1_xboole_0(v20) |  ~ m1_subset_1(v19, v21) |  ~ r2_hidden(v18, v19)) &  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (k1_zfmisc_1(v20) = v21) |  ~ m1_subset_1(v19, v21) |  ~ r2_hidden(v18, v19) | m1_subset_1(v18, v20)) &  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (u1_struct_0(v19) = v21) |  ~ (u1_struct_0(v18) = v20) |  ~ l1_group_1(v19) |  ~ l1_group_1(v18) |  ~ v4_group_1(v19) |  ~ v4_group_1(v18) |  ~ v3_group_1(v19) |  ~ v3_group_1(v18) | v3_struct_0(v19) | v3_struct_0(v18) |  ? [v22] : (v1_group_6(v22, v18, v19) & v1_funct_2(v22, v20, v21) & v1_partfun1(v22, v20, v21) & m1_relset_1(v22, v20, v21) & v1_funct_1(v22) & v1_relat_1(v22) &  ~ v1_xboole_0(v22))) &  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] : ( ~ m1_fraenkel(v20, v18, v19) |  ~ m1_subset_1(v21, v20) | v1_xboole_0(v19) | m2_fraenkel(v21, v18, v19, v20)) &  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] : ( ~ m1_fraenkel(v20, v18, v19) |  ~ m2_fraenkel(v21, v18, v19, v20) | m2_relset_1(v21, v18, v19) | v1_xboole_0(v19)) &  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] : ( ~ m1_fraenkel(v20, v18, v19) |  ~ m2_fraenkel(v21, v18, v19, v20) | v1_funct_2(v21, v18, v19) | v1_xboole_0(v19)) &  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] : ( ~ m1_fraenkel(v20, v18, v19) |  ~ m2_fraenkel(v21, v18, v19, v20) | v1_xboole_0(v19) | v1_funct_1(v21)) &  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] : ( ~ m1_fraenkel(v20, v18, v19) |  ~ m2_fraenkel(v21, v18, v19, v20) | v1_xboole_0(v19) | m1_subset_1(v21, v20)) &  ? [v18] :  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (k2_zfmisc_1(v19, v20) = v21) | v1_relat_1(v18) |  ? [v22] : (k1_zfmisc_1(v21) = v22 &  ~ m1_subset_1(v18, v22))) &  ! [v18] :  ! [v19] :  ! [v20] : (v19 = v18 |  ~ (k2_funct_1(v20) = v19) |  ~ (k2_funct_1(v20) = v18)) &  ! [v18] :  ! [v19] :  ! [v20] : (v19 = v18 |  ~ (k1_autgroup(v20) = v19) |  ~ (k1_autgroup(v20) = v18)) &  ! [v18] :  ! [v19] :  ! [v20] : (v19 = v18 |  ~ (k1_zfmisc_1(v20) = v19) |  ~ (k1_zfmisc_1(v20) = v18)) &  ! [v18] :  ! [v19] :  ! [v20] : (v19 = v18 |  ~ (u1_struct_0(v20) = v19) |  ~ (u1_struct_0(v20) = v18)) &  ! [v18] :  ! [v19] :  ! [v20] : (v19 = v18 |  ~ (u1_group_1(v20) = v19) |  ~ (u1_group_1(v20) = v18)) &  ! [v18] :  ! [v19] :  ! [v20] : ( ~ (k2_zfmisc_1(v19, v19) = v20) |  ~ (u1_struct_0(v18) = v19) |  ~ l1_group_1(v18) |  ? [v21] : (u1_group_1(v18) = v21 & m2_relset_1(v21, v20, v19) & v1_funct_2(v21, v20, v19) & v1_funct_1(v21))) &  ! [v18] :  ! [v19] :  ! [v20] : ( ~ (k1_zfmisc_1(v19) = v20) |  ~ r1_tarski(v18, v19) | m1_subset_1(v18, v20)) &  ! [v18] :  ! [v19] :  ! [v20] : ( ~ (k1_zfmisc_1(v19) = v20) |  ~ m1_subset_1(v18, v20) | r1_tarski(v18, v19)) &  ! [v18] :  ! [v19] :  ! [v20] : ( ~ (g1_group_1(v18, v19) = v20) |  ~ v1_funct_1(v19) |  ~ v3_struct_0(v20) | v1_xboole_0(v18) |  ? [v21] : (k2_zfmisc_1(v18, v18) = v21 & ( ~ v1_funct_2(v19, v21, v18) |  ~ m1_relset_1(v19, v21, v18)))) &  ! [v18] :  ! [v19] :  ! [v20] : ( ~ (g1_group_1(v18, v19) = v20) |  ~ v1_funct_1(v19) | v1_xboole_0(v18) | v1_group_1(v20) |  ? [v21] : (k2_zfmisc_1(v18, v18) = v21 & ( ~ v1_funct_2(v19, v21, v18) |  ~ m1_relset_1(v19, v21, v18)))) &  ! [v18] :  ! [v19] :  ! [v20] : ( ~ (g1_group_1(v18, v19) = v20) |  ~ v1_funct_1(v19) | l1_group_1(v20) |  ? [v21] : (k2_zfmisc_1(v18, v18) = v21 & ( ~ v1_funct_2(v19, v21, v18) |  ~ m1_relset_1(v19, v21, v18)))) &  ! [v18] :  ! [v19] :  ! [v20] : ( ~ (g1_group_1(v18, v19) = v20) |  ~ v1_funct_1(v19) | v1_group_1(v20) |  ? [v21] : (k2_zfmisc_1(v18, v18) = v21 & ( ~ v1_funct_2(v19, v21, v18) |  ~ m1_relset_1(v19, v21, v18)))) &  ! [v18] :  ! [v19] :  ! [v20] : ( ~ m1_fraenkel(v20, v18, v19) |  ~ v1_xboole_0(v20)) &  ! [v18] :  ! [v19] :  ! [v20] : ( ~ m1_fraenkel(v20, v18, v19) | v1_xboole_0(v19) |  ? [v21] : m2_fraenkel(v21, v18, v19, v20)) &  ! [v18] :  ! [v19] :  ! [v20] : ( ~ m1_fraenkel(v20, v18, v19) | v1_fraenkel(v20)) &  ! [v18] :  ! [v19] :  ! [v20] : ( ~ m2_relset_1(v20, v18, v19) | m1_relset_1(v20, v18, v19)) &  ! [v18] :  ! [v19] :  ! [v20] : ( ~ v1_funct_2(v20, v18, v19) |  ~ m1_relset_1(v20, v18, v19) |  ~ v1_xboole_0(v20) |  ~ v1_funct_1(v20) | v1_xboole_0(v19) | v1_xboole_0(v18)) &  ! [v18] :  ! [v19] :  ! [v20] : ( ~ v1_funct_2(v20, v18, v19) |  ~ m1_relset_1(v20, v18, v19) |  ~ v1_funct_1(v20) | v1_partfun1(v20, v18, v19) | v1_xboole_0(v19) | v1_xboole_0(v18)) &  ! [v18] :  ! [v19] :  ! [v20] : ( ~ v1_funct_2(v20, v18, v19) |  ~ m1_relset_1(v20, v18, v19) |  ~ v1_funct_1(v20) | v1_partfun1(v20, v18, v19) | v1_xboole_0(v19)) &  ! [v18] :  ! [v19] :  ! [v20] : ( ~ v1_partfun1(v20, v18, v19) |  ~ m1_relset_1(v20, v18, v19) |  ~ v1_funct_1(v20) | v1_funct_2(v20, v18, v19)) &  ! [v18] :  ! [v19] :  ! [v20] : ( ~ m1_relset_1(v20, v18, v19) | m2_relset_1(v20, v18, v19)) &  ! [v18] :  ! [v19] : (v19 = v18 |  ~ v1_xboole_0(v19) |  ~ v1_xboole_0(v18)) &  ! [v18] :  ! [v19] : ( ~ (k2_funct_1(v18) = v19) |  ~ v1_funct_1(v18) |  ~ v1_relat_1(v18) | v1_funct_1(v19)) &  ! [v18] :  ! [v19] : ( ~ (k2_funct_1(v18) = v19) |  ~ v1_funct_1(v18) |  ~ v1_relat_1(v18) | v1_relat_1(v19)) &  ! [v18] :  ! [v19] : ( ~ (k1_autgroup(v18) = v19) |  ~ l1_group_1(v18) |  ~ v4_group_1(v18) |  ~ v3_group_1(v18) |  ~ v1_group_1(v18) | v3_struct_0(v18) |  ? [v20] : (u1_struct_0(v18) = v20 & m1_fraenkel(v19, v20, v20))) &  ! [v18] :  ! [v19] : ( ~ (k1_autgroup(v18) = v19) |  ~ l1_group_1(v18) |  ~ v4_group_1(v18) |  ~ v3_group_1(v18) |  ~ v1_group_1(v18) | v3_struct_0(v18) |  ? [v20] : (u1_struct_0(v18) = v20 &  ! [v21] :  ! [v22] : ( ~ (k2_funct_1(v21) = v22) |  ~ m2_fraenkel(v21, v20, v20, v19) | m2_relset_1(v22, v20, v20)) &  ! [v21] :  ! [v22] : ( ~ (k2_funct_1(v21) = v22) |  ~ m2_fraenkel(v21, v20, v20, v19) | v1_group_6(v22, v18, v18)) &  ! [v21] :  ! [v22] : ( ~ (k2_funct_1(v21) = v22) |  ~ m2_fraenkel(v21, v20, v20, v19) | v1_funct_2(v22, v20, v20)) &  ! [v21] :  ! [v22] : ( ~ (k2_funct_1(v21) = v22) |  ~ m2_fraenkel(v21, v20, v20, v19) | v1_funct_1(v22)))) &  ! [v18] :  ! [v19] : ( ~ (k1_autgroup(v18) = v19) |  ~ l1_group_1(v18) |  ~ v4_group_1(v18) |  ~ v3_group_1(v18) |  ~ v1_group_1(v18) | v3_struct_0(v18) |  ? [v20] : (u1_struct_0(v18) = v20 &  ! [v21] : (v21 = v19 |  ~ m1_fraenkel(v21, v20, v20) |  ? [v22] : ((m2_relset_1(v22, v20, v20) & v1_group_6(v22, v18, v18) & v1_funct_2(v22, v20, v20) & v1_funct_1(v22) & ( ~ v3_group_6(v22, v18, v18) |  ~ v2_funct_1(v22) |  ~ r2_hidden(v22, v21)) & (r2_hidden(v22, v21) | (v3_group_6(v22, v18, v18) & v2_funct_1(v22)))) | (m2_fraenkel(v22, v20, v20, v21) & ( ~ m2_relset_1(v22, v20, v20) |  ~ v1_group_6(v22, v18, v18) |  ~ v1_funct_2(v22, v20, v20) |  ~ v1_funct_1(v22))))) &  ! [v21] : ( ~ m1_fraenkel(v19, v20, v20) |  ~ v3_group_6(v21, v18, v18) |  ~ m2_relset_1(v21, v20, v20) |  ~ v1_group_6(v21, v18, v18) |  ~ v2_funct_1(v21) |  ~ v1_funct_2(v21, v20, v20) |  ~ v1_funct_1(v21) | r2_hidden(v21, v19)) &  ! [v21] : ( ~ m1_fraenkel(v19, v20, v20) |  ~ m2_relset_1(v21, v20, v20) |  ~ v1_group_6(v21, v18, v18) |  ~ v1_funct_2(v21, v20, v20) |  ~ v1_funct_1(v21) |  ~ r2_hidden(v21, v19) | v3_group_6(v21, v18, v18)) &  ! [v21] : ( ~ m1_fraenkel(v19, v20, v20) |  ~ m2_relset_1(v21, v20, v20) |  ~ v1_group_6(v21, v18, v18) |  ~ v1_funct_2(v21, v20, v20) |  ~ v1_funct_1(v21) |  ~ r2_hidden(v21, v19) | v2_funct_1(v21)) &  ! [v21] : ( ~ m1_fraenkel(v19, v20, v20) |  ~ m2_fraenkel(v21, v20, v20, v19) | m2_relset_1(v21, v20, v20)) &  ! [v21] : ( ~ m1_fraenkel(v19, v20, v20) |  ~ m2_fraenkel(v21, v20, v20, v19) | v1_group_6(v21, v18, v18)) &  ! [v21] : ( ~ m1_fraenkel(v19, v20, v20) |  ~ m2_fraenkel(v21, v20, v20, v19) | v1_funct_2(v21, v20, v20)) &  ! [v21] : ( ~ m1_fraenkel(v19, v20, v20) |  ~ m2_fraenkel(v21, v20, v20, v19) | v1_funct_1(v21)))) &  ! [v18] :  ! [v19] : ( ~ (k1_autgroup(v18) = v19) |  ~ l1_group_1(v18) |  ~ v4_group_1(v18) |  ~ v3_group_1(v18) |  ~ v1_group_1(v18) | v3_struct_0(v18) |  ? [v20] : (u1_struct_0(v18) = v20 &  ! [v21] : ( ~ v4_group_6(v21, v18, v18) |  ~ m2_relset_1(v21, v20, v20) |  ~ v1_group_6(v21, v18, v18) |  ~ v1_funct_2(v21, v20, v20) |  ~ v1_funct_1(v21) | r2_hidden(v21, v19)) &  ! [v21] : ( ~ m2_relset_1(v21, v20, v20) |  ~ v1_group_6(v21, v18, v18) |  ~ v1_funct_2(v21, v20, v20) |  ~ v1_funct_1(v21) |  ~ r2_hidden(v21, v19) | v4_group_6(v21, v18, v18)))) &  ! [v18] :  ! [v19] : ( ~ (u1_struct_0(v18) = v19) |  ~ l1_struct_0(v18) |  ~ v1_xboole_0(v19) | v3_struct_0(v18)) &  ! [v18] :  ! [v19] : ( ~ (u1_struct_0(v18) = v19) |  ~ l1_struct_0(v18) | v3_struct_0(v18) |  ? [v20] :  ? [v21] : (k1_zfmisc_1(v19) = v20 & m1_subset_1(v21, v20) &  ~ v1_xboole_0(v21))) &  ! [v18] :  ! [v19] : ( ~ (u1_struct_0(v18) = v19) |  ~ l1_group_1(v18) |  ~ v4_group_1(v18) |  ~ v3_group_1(v18) |  ~ v1_group_1(v18) | v3_struct_0(v18) |  ? [v20] : (k1_autgroup(v18) = v20 & m1_fraenkel(v20, v19, v19))) &  ! [v18] :  ! [v19] : ( ~ (u1_struct_0(v18) = v19) |  ~ l1_group_1(v18) |  ~ v4_group_1(v18) |  ~ v3_group_1(v18) |  ~ v1_group_1(v18) | v3_struct_0(v18) |  ? [v20] : (k1_autgroup(v18) = v20 &  ! [v21] :  ! [v22] : ( ~ (k2_funct_1(v21) = v22) |  ~ m2_fraenkel(v21, v19, v19, v20) | m2_relset_1(v22, v19, v19)) &  ! [v21] :  ! [v22] : ( ~ (k2_funct_1(v21) = v22) |  ~ m2_fraenkel(v21, v19, v19, v20) | v1_group_6(v22, v18, v18)) &  ! [v21] :  ! [v22] : ( ~ (k2_funct_1(v21) = v22) |  ~ m2_fraenkel(v21, v19, v19, v20) | v1_funct_2(v22, v19, v19)) &  ! [v21] :  ! [v22] : ( ~ (k2_funct_1(v21) = v22) |  ~ m2_fraenkel(v21, v19, v19, v20) | v1_funct_1(v22)))) &  ! [v18] :  ! [v19] : ( ~ (u1_struct_0(v18) = v19) |  ~ l1_group_1(v18) |  ~ v4_group_1(v18) |  ~ v3_group_1(v18) |  ~ v1_group_1(v18) | v3_struct_0(v18) |  ? [v20] : (k1_autgroup(v18) = v20 &  ! [v21] : (v21 = v20 |  ~ m1_fraenkel(v21, v19, v19) |  ? [v22] : ((m2_relset_1(v22, v19, v19) & v1_group_6(v22, v18, v18) & v1_funct_2(v22, v19, v19) & v1_funct_1(v22) & ( ~ v3_group_6(v22, v18, v18) |  ~ v2_funct_1(v22) |  ~ r2_hidden(v22, v21)) & (r2_hidden(v22, v21) | (v3_group_6(v22, v18, v18) & v2_funct_1(v22)))) | (m2_fraenkel(v22, v19, v19, v21) & ( ~ m2_relset_1(v22, v19, v19) |  ~ v1_group_6(v22, v18, v18) |  ~ v1_funct_2(v22, v19, v19) |  ~ v1_funct_1(v22))))) &  ! [v21] : ( ~ m1_fraenkel(v20, v19, v19) |  ~ v3_group_6(v21, v18, v18) |  ~ m2_relset_1(v21, v19, v19) |  ~ v1_group_6(v21, v18, v18) |  ~ v2_funct_1(v21) |  ~ v1_funct_2(v21, v19, v19) |  ~ v1_funct_1(v21) | r2_hidden(v21, v20)) &  ! [v21] : ( ~ m1_fraenkel(v20, v19, v19) |  ~ m2_relset_1(v21, v19, v19) |  ~ v1_group_6(v21, v18, v18) |  ~ v1_funct_2(v21, v19, v19) |  ~ v1_funct_1(v21) |  ~ r2_hidden(v21, v20) | v3_group_6(v21, v18, v18)) &  ! [v21] : ( ~ m1_fraenkel(v20, v19, v19) |  ~ m2_relset_1(v21, v19, v19) |  ~ v1_group_6(v21, v18, v18) |  ~ v1_funct_2(v21, v19, v19) |  ~ v1_funct_1(v21) |  ~ r2_hidden(v21, v20) | v2_funct_1(v21)) &  ! [v21] : ( ~ m1_fraenkel(v20, v19, v19) |  ~ m2_fraenkel(v21, v19, v19, v20) | m2_relset_1(v21, v19, v19)) &  ! [v21] : ( ~ m1_fraenkel(v20, v19, v19) |  ~ m2_fraenkel(v21, v19, v19, v20) | v1_group_6(v21, v18, v18)) &  ! [v21] : ( ~ m1_fraenkel(v20, v19, v19) |  ~ m2_fraenkel(v21, v19, v19, v20) | v1_funct_2(v21, v19, v19)) &  ! [v21] : ( ~ m1_fraenkel(v20, v19, v19) |  ~ m2_fraenkel(v21, v19, v19, v20) | v1_funct_1(v21)))) &  ! [v18] :  ! [v19] : ( ~ (u1_struct_0(v18) = v19) |  ~ l1_group_1(v18) |  ~ v4_group_1(v18) |  ~ v3_group_1(v18) |  ~ v1_group_1(v18) | v3_struct_0(v18) |  ? [v20] : (k1_autgroup(v18) = v20 &  ! [v21] : ( ~ v4_group_6(v21, v18, v18) |  ~ m2_relset_1(v21, v19, v19) |  ~ v1_group_6(v21, v18, v18) |  ~ v1_funct_2(v21, v19, v19) |  ~ v1_funct_1(v21) | r2_hidden(v21, v20)) &  ! [v21] : ( ~ m2_relset_1(v21, v19, v19) |  ~ v1_group_6(v21, v18, v18) |  ~ v1_funct_2(v21, v19, v19) |  ~ v1_funct_1(v21) |  ~ r2_hidden(v21, v20) | v4_group_6(v21, v18, v18)))) &  ! [v18] :  ! [v19] : ( ~ (u1_struct_0(v18) = v19) |  ~ l1_group_1(v18) |  ? [v20] :  ? [v21] : (k2_zfmisc_1(v19, v19) = v21 & u1_group_1(v18) = v20 & m2_relset_1(v20, v21, v19) & v1_funct_2(v20, v21, v19) & v1_funct_1(v20))) &  ! [v18] :  ! [v19] : ( ~ (u1_group_1(v18) = v19) |  ~ l1_group_1(v18) | v1_funct_1(v19)) &  ! [v18] :  ! [v19] : ( ~ (u1_group_1(v18) = v19) |  ~ l1_group_1(v18) |  ? [v20] :  ? [v21] : (k2_zfmisc_1(v20, v20) = v21 & u1_struct_0(v18) = v20 & m2_relset_1(v19, v21, v20) & v1_funct_2(v19, v21, v20))) &  ! [v18] :  ! [v19] : ( ~ v1_xboole_0(v19) |  ~ r2_hidden(v18, v19)) &  ! [v18] :  ! [v19] : ( ~ m1_subset_1(v19, v18) |  ~ v1_fraenkel(v18) | v1_funct_1(v19)) &  ! [v18] :  ! [v19] : ( ~ m1_subset_1(v19, v18) |  ~ v1_fraenkel(v18) | v1_relat_1(v19)) &  ! [v18] :  ! [v19] : ( ~ m1_subset_1(v18, v19) | v1_xboole_0(v19) | r2_hidden(v18, v19)) &  ! [v18] :  ! [v19] : ( ~ r2_hidden(v19, v18) |  ~ r2_hidden(v18, v19)) &  ! [v18] :  ! [v19] : ( ~ r2_hidden(v18, v19) | m1_subset_1(v18, v19)) &  ! [v18] : (v18 = k1_xboole_0 |  ~ v1_xboole_0(v18)) &  ! [v18] : ( ~ v1_xboole_0(v18) |  ~ v1_funct_1(v18) |  ~ v1_relat_1(v18) | v2_funct_1(v18)) &  ! [v18] : ( ~ v1_xboole_0(v18) | v1_funct_1(v18)) &  ! [v18] : ( ~ l1_group_1(v18) |  ~ v3_group_1(v18) | v2_group_1(v18) | v3_struct_0(v18)) &  ! [v18] : ( ~ l1_group_1(v18) | l1_struct_0(v18)) &  ? [v18] :  ? [v19] :  ? [v20] : m1_fraenkel(v20, v18, v19) &  ? [v18] :  ? [v19] :  ? [v20] : m2_relset_1(v20, v18, v19) &  ? [v18] :  ? [v19] :  ? [v20] : m1_relset_1(v20, v18, v19) &  ? [v18] :  ? [v19] :  ? [v20] : (v1_funct_2(v20, v18, v19) & m1_relset_1(v20, v18, v19) & v1_funct_1(v20) & v1_relat_1(v20)) &  ? [v18] :  ? [v19] :  ? [v20] : (m1_relset_1(v20, v18, v19) & v1_funct_1(v20) & v1_relat_1(v20)) &  ? [v18] :  ? [v19] : m1_subset_1(v19, v18) &  ? [v18] : r1_tarski(v18, v18))
% 18.71/5.05  | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17 yields:
% 18.71/5.05  | (1) k2_funct_1(all_0_14_14) = all_0_13_13 & k1_autgroup(all_0_17_17) = all_0_15_15 & u1_struct_0(all_0_17_17) = all_0_16_16 & l1_struct_0(all_0_1_1) & l1_struct_0(all_0_12_12) & v2_funct_1(all_0_5_5) & v2_funct_1(all_0_10_10) & v2_group_1(all_0_11_11) & v1_xboole_0(all_0_5_5) & v1_xboole_0(all_0_6_6) & v1_xboole_0(all_0_7_7) & v1_xboole_0(k1_xboole_0) & v1_funct_1(all_0_3_3) & v1_funct_1(all_0_5_5) & v1_funct_1(all_0_7_7) & v1_funct_1(all_0_10_10) & v1_relat_1(all_0_3_3) & v1_relat_1(all_0_5_5) & v1_relat_1(all_0_7_7) & v1_relat_1(all_0_10_10) & v1_fraenkel(all_0_2_2) & m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_0_15_15) & l1_group_1(all_0_0_0) & l1_group_1(all_0_4_4) & l1_group_1(all_0_8_8) & l1_group_1(all_0_11_11) & l1_group_1(all_0_17_17) & v4_group_1(all_0_11_11) & v4_group_1(all_0_17_17) & v3_group_1(all_0_11_11) & v3_group_1(all_0_17_17) & v1_group_1(all_0_4_4) & v1_group_1(all_0_8_8) & v1_group_1(all_0_11_11) & v1_group_1(all_0_17_17) &  ~ v1_xboole_0(all_0_2_2) &  ~ v1_xboole_0(all_0_9_9) &  ~ m2_fraenkel(all_0_13_13, all_0_16_16, all_0_16_16, all_0_15_15) &  ~ v3_struct_0(all_0_8_8) &  ~ v3_struct_0(all_0_11_11) &  ~ v3_struct_0(all_0_12_12) &  ~ v3_struct_0(all_0_17_17) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k2_funct_1(v4) = v5) |  ~ (u1_struct_0(v2) = v3) |  ~ (u1_struct_0(v0) = v1) |  ~ v4_group_6(v4, v2, v0) |  ~ m2_relset_1(v5, v1, v3) |  ~ m2_relset_1(v4, v3, v1) |  ~ v1_group_6(v5, v0, v2) |  ~ v1_group_6(v4, v2, v0) |  ~ v1_funct_2(v5, v1, v3) |  ~ v1_funct_2(v4, v3, v1) |  ~ v1_funct_1(v5) |  ~ v1_funct_1(v4) |  ~ l1_group_1(v2) |  ~ l1_group_1(v0) |  ~ v4_group_1(v2) |  ~ v4_group_1(v0) |  ~ v3_group_1(v2) |  ~ v3_group_1(v0) | v4_group_6(v5, v0, v2) | v3_struct_0(v2) | v3_struct_0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v1 |  ~ (g1_group_1(v3, v4) = v2) |  ~ (g1_group_1(v0, v1) = v2) |  ~ v1_funct_1(v1) |  ? [v5] : (k2_zfmisc_1(v0, v0) = v5 & ( ~ v1_funct_2(v1, v5, v0) |  ~ m1_relset_1(v1, v5, v0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v0 |  ~ (g1_group_1(v3, v4) = v2) |  ~ (g1_group_1(v0, v1) = v2) |  ~ v1_funct_1(v1) |  ? [v5] : (k2_zfmisc_1(v0, v0) = v5 & ( ~ v1_funct_2(v1, v5, v0) |  ~ m1_relset_1(v1, v5, v0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (u1_struct_0(v2) = v3) |  ~ (u1_struct_0(v0) = v1) |  ~ v3_group_6(v4, v0, v2) |  ~ v2_group_6(v4, v0, v2) |  ~ m2_relset_1(v4, v1, v3) |  ~ v1_group_6(v4, v0, v2) |  ~ v1_funct_2(v4, v1, v3) |  ~ v1_funct_1(v4) |  ~ l1_group_1(v2) |  ~ l1_group_1(v0) |  ~ v4_group_1(v2) |  ~ v4_group_1(v0) |  ~ v3_group_1(v2) |  ~ v3_group_1(v0) | v4_group_6(v4, v0, v2) | v3_struct_0(v2) | v3_struct_0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (u1_struct_0(v2) = v3) |  ~ (u1_struct_0(v0) = v1) |  ~ v4_group_6(v4, v0, v2) |  ~ m2_relset_1(v4, v1, v3) |  ~ v1_group_6(v4, v0, v2) |  ~ v1_funct_2(v4, v1, v3) |  ~ v1_funct_1(v4) |  ~ l1_group_1(v2) |  ~ l1_group_1(v0) |  ~ v4_group_1(v2) |  ~ v4_group_1(v0) |  ~ v3_group_1(v2) |  ~ v3_group_1(v0) | v3_group_6(v4, v0, v2) | v3_struct_0(v2) | v3_struct_0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (u1_struct_0(v2) = v3) |  ~ (u1_struct_0(v0) = v1) |  ~ v4_group_6(v4, v0, v2) |  ~ m2_relset_1(v4, v1, v3) |  ~ v1_group_6(v4, v0, v2) |  ~ v1_funct_2(v4, v1, v3) |  ~ v1_funct_1(v4) |  ~ l1_group_1(v2) |  ~ l1_group_1(v0) |  ~ v4_group_1(v2) |  ~ v4_group_1(v0) |  ~ v3_group_1(v2) |  ~ v3_group_1(v0) | v2_group_6(v4, v0, v2) | v3_struct_0(v2) | v3_struct_0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (u1_struct_0(v2) = v3) |  ~ (u1_struct_0(v0) = v1) |  ~ v2_group_6(v4, v0, v2) |  ~ m2_relset_1(v4, v1, v3) |  ~ v1_group_6(v4, v0, v2) |  ~ v1_funct_2(v4, v1, v3) |  ~ v1_funct_1(v4) |  ~ l1_group_1(v2) |  ~ l1_group_1(v0) |  ~ v4_group_1(v2) |  ~ v4_group_1(v0) |  ~ v3_group_1(v2) |  ~ v3_group_1(v0) | v2_funct_1(v4) | v3_struct_0(v2) | v3_struct_0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (u1_struct_0(v2) = v3) |  ~ (u1_struct_0(v0) = v1) |  ~ m2_relset_1(v4, v1, v3) |  ~ v1_group_6(v4, v0, v2) |  ~ v2_funct_1(v4) |  ~ v1_funct_2(v4, v1, v3) |  ~ v1_funct_1(v4) |  ~ l1_group_1(v2) |  ~ l1_group_1(v0) |  ~ v4_group_1(v2) |  ~ v4_group_1(v0) |  ~ v3_group_1(v2) |  ~ v3_group_1(v0) | v2_group_6(v4, v0, v2) | v3_struct_0(v2) | v3_struct_0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (u1_struct_0(v0) = v1) |  ~ (u1_group_1(v0) = v2) |  ~ (g1_group_1(v1, v2) = v3) |  ~ l1_group_1(v0) |  ~ v1_group_1(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k2_zfmisc_1(v3, v2) = v1) |  ~ (k2_zfmisc_1(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (g1_group_1(v3, v2) = v1) |  ~ (g1_group_1(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k2_zfmisc_1(v0, v1) = v3) |  ~ m2_relset_1(v2, v0, v1) |  ? [v4] : (k1_zfmisc_1(v3) = v4 & m1_subset_1(v2, v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) |  ~ v1_xboole_0(v2) |  ~ m1_subset_1(v1, v3) |  ~ r2_hidden(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) |  ~ m1_subset_1(v1, v3) |  ~ r2_hidden(v0, v1) | m1_subset_1(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (u1_struct_0(v1) = v3) |  ~ (u1_struct_0(v0) = v2) |  ~ l1_group_1(v1) |  ~ l1_group_1(v0) |  ~ v4_group_1(v1) |  ~ v4_group_1(v0) |  ~ v3_group_1(v1) |  ~ v3_group_1(v0) | v3_struct_0(v1) | v3_struct_0(v0) |  ? [v4] : (v1_group_6(v4, v0, v1) & v1_funct_2(v4, v2, v3) & v1_partfun1(v4, v2, v3) & m1_relset_1(v4, v2, v3) & v1_funct_1(v4) & v1_relat_1(v4) &  ~ v1_xboole_0(v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) |  ~ m1_subset_1(v3, v2) | v1_xboole_0(v1) | m2_fraenkel(v3, v0, v1, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) |  ~ m2_fraenkel(v3, v0, v1, v2) | m2_relset_1(v3, v0, v1) | v1_xboole_0(v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) |  ~ m2_fraenkel(v3, v0, v1, v2) | v1_funct_2(v3, v0, v1) | v1_xboole_0(v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) |  ~ m2_fraenkel(v3, v0, v1, v2) | v1_xboole_0(v1) | v1_funct_1(v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) |  ~ m2_fraenkel(v3, v0, v1, v2) | v1_xboole_0(v1) | m1_subset_1(v3, v2)) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k2_zfmisc_1(v1, v2) = v3) | v1_relat_1(v0) |  ? [v4] : (k1_zfmisc_1(v3) = v4 &  ~ m1_subset_1(v0, v4))) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k2_funct_1(v2) = v1) |  ~ (k2_funct_1(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k1_autgroup(v2) = v1) |  ~ (k1_autgroup(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k1_zfmisc_1(v2) = v1) |  ~ (k1_zfmisc_1(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (u1_struct_0(v2) = v1) |  ~ (u1_struct_0(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (u1_group_1(v2) = v1) |  ~ (u1_group_1(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_zfmisc_1(v1, v1) = v2) |  ~ (u1_struct_0(v0) = v1) |  ~ l1_group_1(v0) |  ? [v3] : (u1_group_1(v0) = v3 & m2_relset_1(v3, v2, v1) & v1_funct_2(v3, v2, v1) & v1_funct_1(v3))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) |  ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) |  ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (g1_group_1(v0, v1) = v2) |  ~ v1_funct_1(v1) |  ~ v3_struct_0(v2) | v1_xboole_0(v0) |  ? [v3] : (k2_zfmisc_1(v0, v0) = v3 & ( ~ v1_funct_2(v1, v3, v0) |  ~ m1_relset_1(v1, v3, v0)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (g1_group_1(v0, v1) = v2) |  ~ v1_funct_1(v1) | v1_xboole_0(v0) | v1_group_1(v2) |  ? [v3] : (k2_zfmisc_1(v0, v0) = v3 & ( ~ v1_funct_2(v1, v3, v0) |  ~ m1_relset_1(v1, v3, v0)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (g1_group_1(v0, v1) = v2) |  ~ v1_funct_1(v1) | l1_group_1(v2) |  ? [v3] : (k2_zfmisc_1(v0, v0) = v3 & ( ~ v1_funct_2(v1, v3, v0) |  ~ m1_relset_1(v1, v3, v0)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (g1_group_1(v0, v1) = v2) |  ~ v1_funct_1(v1) | v1_group_1(v2) |  ? [v3] : (k2_zfmisc_1(v0, v0) = v3 & ( ~ v1_funct_2(v1, v3, v0) |  ~ m1_relset_1(v1, v3, v0)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ m1_fraenkel(v2, v0, v1) |  ~ v1_xboole_0(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ m1_fraenkel(v2, v0, v1) | v1_xboole_0(v1) |  ? [v3] : m2_fraenkel(v3, v0, v1, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ m1_fraenkel(v2, v0, v1) | v1_fraenkel(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ v1_funct_2(v2, v0, v1) |  ~ m1_relset_1(v2, v0, v1) |  ~ v1_xboole_0(v2) |  ~ v1_funct_1(v2) | v1_xboole_0(v1) | v1_xboole_0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ v1_funct_2(v2, v0, v1) |  ~ m1_relset_1(v2, v0, v1) |  ~ v1_funct_1(v2) | v1_partfun1(v2, v0, v1) | v1_xboole_0(v1) | v1_xboole_0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ v1_funct_2(v2, v0, v1) |  ~ m1_relset_1(v2, v0, v1) |  ~ v1_funct_1(v2) | v1_partfun1(v2, v0, v1) | v1_xboole_0(v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ v1_partfun1(v2, v0, v1) |  ~ m1_relset_1(v2, v0, v1) |  ~ v1_funct_1(v2) | v1_funct_2(v2, v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ v1_xboole_0(v1) |  ~ v1_xboole_0(v0)) &  ! [v0] :  ! [v1] : ( ~ (k2_funct_1(v0) = v1) |  ~ v1_funct_1(v0) |  ~ v1_relat_1(v0) | v1_funct_1(v1)) &  ! [v0] :  ! [v1] : ( ~ (k2_funct_1(v0) = v1) |  ~ v1_funct_1(v0) |  ~ v1_relat_1(v0) | v1_relat_1(v1)) &  ! [v0] :  ! [v1] : ( ~ (k1_autgroup(v0) = v1) |  ~ l1_group_1(v0) |  ~ v4_group_1(v0) |  ~ v3_group_1(v0) |  ~ v1_group_1(v0) | v3_struct_0(v0) |  ? [v2] : (u1_struct_0(v0) = v2 & m1_fraenkel(v1, v2, v2))) &  ! [v0] :  ! [v1] : ( ~ (k1_autgroup(v0) = v1) |  ~ l1_group_1(v0) |  ~ v4_group_1(v0) |  ~ v3_group_1(v0) |  ~ v1_group_1(v0) | v3_struct_0(v0) |  ? [v2] : (u1_struct_0(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (k2_funct_1(v3) = v4) |  ~ m2_fraenkel(v3, v2, v2, v1) | m2_relset_1(v4, v2, v2)) &  ! [v3] :  ! [v4] : ( ~ (k2_funct_1(v3) = v4) |  ~ m2_fraenkel(v3, v2, v2, v1) | v1_group_6(v4, v0, v0)) &  ! [v3] :  ! [v4] : ( ~ (k2_funct_1(v3) = v4) |  ~ m2_fraenkel(v3, v2, v2, v1) | v1_funct_2(v4, v2, v2)) &  ! [v3] :  ! [v4] : ( ~ (k2_funct_1(v3) = v4) |  ~ m2_fraenkel(v3, v2, v2, v1) | v1_funct_1(v4)))) &  ! [v0] :  ! [v1] : ( ~ (k1_autgroup(v0) = v1) |  ~ l1_group_1(v0) |  ~ v4_group_1(v0) |  ~ v3_group_1(v0) |  ~ v1_group_1(v0) | v3_struct_0(v0) |  ? [v2] : (u1_struct_0(v0) = v2 &  ! [v3] : (v3 = v1 |  ~ m1_fraenkel(v3, v2, v2) |  ? [v4] : ((m2_relset_1(v4, v2, v2) & v1_group_6(v4, v0, v0) & v1_funct_2(v4, v2, v2) & v1_funct_1(v4) & ( ~ v3_group_6(v4, v0, v0) |  ~ v2_funct_1(v4) |  ~ r2_hidden(v4, v3)) & (r2_hidden(v4, v3) | (v3_group_6(v4, v0, v0) & v2_funct_1(v4)))) | (m2_fraenkel(v4, v2, v2, v3) & ( ~ m2_relset_1(v4, v2, v2) |  ~ v1_group_6(v4, v0, v0) |  ~ v1_funct_2(v4, v2, v2) |  ~ v1_funct_1(v4))))) &  ! [v3] : ( ~ m1_fraenkel(v1, v2, v2) |  ~ v3_group_6(v3, v0, v0) |  ~ m2_relset_1(v3, v2, v2) |  ~ v1_group_6(v3, v0, v0) |  ~ v2_funct_1(v3) |  ~ v1_funct_2(v3, v2, v2) |  ~ v1_funct_1(v3) | r2_hidden(v3, v1)) &  ! [v3] : ( ~ m1_fraenkel(v1, v2, v2) |  ~ m2_relset_1(v3, v2, v2) |  ~ v1_group_6(v3, v0, v0) |  ~ v1_funct_2(v3, v2, v2) |  ~ v1_funct_1(v3) |  ~ r2_hidden(v3, v1) | v3_group_6(v3, v0, v0)) &  ! [v3] : ( ~ m1_fraenkel(v1, v2, v2) |  ~ m2_relset_1(v3, v2, v2) |  ~ v1_group_6(v3, v0, v0) |  ~ v1_funct_2(v3, v2, v2) |  ~ v1_funct_1(v3) |  ~ r2_hidden(v3, v1) | v2_funct_1(v3)) &  ! [v3] : ( ~ m1_fraenkel(v1, v2, v2) |  ~ m2_fraenkel(v3, v2, v2, v1) | m2_relset_1(v3, v2, v2)) &  ! [v3] : ( ~ m1_fraenkel(v1, v2, v2) |  ~ m2_fraenkel(v3, v2, v2, v1) | v1_group_6(v3, v0, v0)) &  ! [v3] : ( ~ m1_fraenkel(v1, v2, v2) |  ~ m2_fraenkel(v3, v2, v2, v1) | v1_funct_2(v3, v2, v2)) &  ! [v3] : ( ~ m1_fraenkel(v1, v2, v2) |  ~ m2_fraenkel(v3, v2, v2, v1) | v1_funct_1(v3)))) &  ! [v0] :  ! [v1] : ( ~ (k1_autgroup(v0) = v1) |  ~ l1_group_1(v0) |  ~ v4_group_1(v0) |  ~ v3_group_1(v0) |  ~ v1_group_1(v0) | v3_struct_0(v0) |  ? [v2] : (u1_struct_0(v0) = v2 &  ! [v3] : ( ~ v4_group_6(v3, v0, v0) |  ~ m2_relset_1(v3, v2, v2) |  ~ v1_group_6(v3, v0, v0) |  ~ v1_funct_2(v3, v2, v2) |  ~ v1_funct_1(v3) | r2_hidden(v3, v1)) &  ! [v3] : ( ~ m2_relset_1(v3, v2, v2) |  ~ v1_group_6(v3, v0, v0) |  ~ v1_funct_2(v3, v2, v2) |  ~ v1_funct_1(v3) |  ~ r2_hidden(v3, v1) | v4_group_6(v3, v0, v0)))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_struct_0(v0) |  ~ v1_xboole_0(v1) | v3_struct_0(v0)) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_struct_0(v0) | v3_struct_0(v0) |  ? [v2] :  ? [v3] : (k1_zfmisc_1(v1) = v2 & m1_subset_1(v3, v2) &  ~ v1_xboole_0(v3))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_group_1(v0) |  ~ v4_group_1(v0) |  ~ v3_group_1(v0) |  ~ v1_group_1(v0) | v3_struct_0(v0) |  ? [v2] : (k1_autgroup(v0) = v2 & m1_fraenkel(v2, v1, v1))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_group_1(v0) |  ~ v4_group_1(v0) |  ~ v3_group_1(v0) |  ~ v1_group_1(v0) | v3_struct_0(v0) |  ? [v2] : (k1_autgroup(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (k2_funct_1(v3) = v4) |  ~ m2_fraenkel(v3, v1, v1, v2) | m2_relset_1(v4, v1, v1)) &  ! [v3] :  ! [v4] : ( ~ (k2_funct_1(v3) = v4) |  ~ m2_fraenkel(v3, v1, v1, v2) | v1_group_6(v4, v0, v0)) &  ! [v3] :  ! [v4] : ( ~ (k2_funct_1(v3) = v4) |  ~ m2_fraenkel(v3, v1, v1, v2) | v1_funct_2(v4, v1, v1)) &  ! [v3] :  ! [v4] : ( ~ (k2_funct_1(v3) = v4) |  ~ m2_fraenkel(v3, v1, v1, v2) | v1_funct_1(v4)))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_group_1(v0) |  ~ v4_group_1(v0) |  ~ v3_group_1(v0) |  ~ v1_group_1(v0) | v3_struct_0(v0) |  ? [v2] : (k1_autgroup(v0) = v2 &  ! [v3] : (v3 = v2 |  ~ m1_fraenkel(v3, v1, v1) |  ? [v4] : ((m2_relset_1(v4, v1, v1) & v1_group_6(v4, v0, v0) & v1_funct_2(v4, v1, v1) & v1_funct_1(v4) & ( ~ v3_group_6(v4, v0, v0) |  ~ v2_funct_1(v4) |  ~ r2_hidden(v4, v3)) & (r2_hidden(v4, v3) | (v3_group_6(v4, v0, v0) & v2_funct_1(v4)))) | (m2_fraenkel(v4, v1, v1, v3) & ( ~ m2_relset_1(v4, v1, v1) |  ~ v1_group_6(v4, v0, v0) |  ~ v1_funct_2(v4, v1, v1) |  ~ v1_funct_1(v4))))) &  ! [v3] : ( ~ m1_fraenkel(v2, v1, v1) |  ~ v3_group_6(v3, v0, v0) |  ~ m2_relset_1(v3, v1, v1) |  ~ v1_group_6(v3, v0, v0) |  ~ v2_funct_1(v3) |  ~ v1_funct_2(v3, v1, v1) |  ~ v1_funct_1(v3) | r2_hidden(v3, v2)) &  ! [v3] : ( ~ m1_fraenkel(v2, v1, v1) |  ~ m2_relset_1(v3, v1, v1) |  ~ v1_group_6(v3, v0, v0) |  ~ v1_funct_2(v3, v1, v1) |  ~ v1_funct_1(v3) |  ~ r2_hidden(v3, v2) | v3_group_6(v3, v0, v0)) &  ! [v3] : ( ~ m1_fraenkel(v2, v1, v1) |  ~ m2_relset_1(v3, v1, v1) |  ~ v1_group_6(v3, v0, v0) |  ~ v1_funct_2(v3, v1, v1) |  ~ v1_funct_1(v3) |  ~ r2_hidden(v3, v2) | v2_funct_1(v3)) &  ! [v3] : ( ~ m1_fraenkel(v2, v1, v1) |  ~ m2_fraenkel(v3, v1, v1, v2) | m2_relset_1(v3, v1, v1)) &  ! [v3] : ( ~ m1_fraenkel(v2, v1, v1) |  ~ m2_fraenkel(v3, v1, v1, v2) | v1_group_6(v3, v0, v0)) &  ! [v3] : ( ~ m1_fraenkel(v2, v1, v1) |  ~ m2_fraenkel(v3, v1, v1, v2) | v1_funct_2(v3, v1, v1)) &  ! [v3] : ( ~ m1_fraenkel(v2, v1, v1) |  ~ m2_fraenkel(v3, v1, v1, v2) | v1_funct_1(v3)))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_group_1(v0) |  ~ v4_group_1(v0) |  ~ v3_group_1(v0) |  ~ v1_group_1(v0) | v3_struct_0(v0) |  ? [v2] : (k1_autgroup(v0) = v2 &  ! [v3] : ( ~ v4_group_6(v3, v0, v0) |  ~ m2_relset_1(v3, v1, v1) |  ~ v1_group_6(v3, v0, v0) |  ~ v1_funct_2(v3, v1, v1) |  ~ v1_funct_1(v3) | r2_hidden(v3, v2)) &  ! [v3] : ( ~ m2_relset_1(v3, v1, v1) |  ~ v1_group_6(v3, v0, v0) |  ~ v1_funct_2(v3, v1, v1) |  ~ v1_funct_1(v3) |  ~ r2_hidden(v3, v2) | v4_group_6(v3, v0, v0)))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_group_1(v0) |  ? [v2] :  ? [v3] : (k2_zfmisc_1(v1, v1) = v3 & u1_group_1(v0) = v2 & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(v2))) &  ! [v0] :  ! [v1] : ( ~ (u1_group_1(v0) = v1) |  ~ l1_group_1(v0) | v1_funct_1(v1)) &  ! [v0] :  ! [v1] : ( ~ (u1_group_1(v0) = v1) |  ~ l1_group_1(v0) |  ? [v2] :  ? [v3] : (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) = v2 & m2_relset_1(v1, v3, v2) & v1_funct_2(v1, v3, v2))) &  ! [v0] :  ! [v1] : ( ~ v1_xboole_0(v1) |  ~ r2_hidden(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ m1_subset_1(v1, v0) |  ~ v1_fraenkel(v0) | v1_funct_1(v1)) &  ! [v0] :  ! [v1] : ( ~ m1_subset_1(v1, v0) |  ~ v1_fraenkel(v0) | v1_relat_1(v1)) &  ! [v0] :  ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ r2_hidden(v1, v0) |  ~ r2_hidden(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1)) &  ! [v0] : (v0 = k1_xboole_0 |  ~ v1_xboole_0(v0)) &  ! [v0] : ( ~ v1_xboole_0(v0) |  ~ v1_funct_1(v0) |  ~ v1_relat_1(v0) | v2_funct_1(v0)) &  ! [v0] : ( ~ v1_xboole_0(v0) | v1_funct_1(v0)) &  ! [v0] : ( ~ l1_group_1(v0) |  ~ v3_group_1(v0) | v2_group_1(v0) | v3_struct_0(v0)) &  ! [v0] : ( ~ l1_group_1(v0) | l1_struct_0(v0)) &  ? [v0] :  ? [v1] :  ? [v2] : m1_fraenkel(v2, v0, v1) &  ? [v0] :  ? [v1] :  ? [v2] : m2_relset_1(v2, v0, v1) &  ? [v0] :  ? [v1] :  ? [v2] : m1_relset_1(v2, v0, v1) &  ? [v0] :  ? [v1] :  ? [v2] : (v1_funct_2(v2, v0, v1) & m1_relset_1(v2, v0, v1) & v1_funct_1(v2) & v1_relat_1(v2)) &  ? [v0] :  ? [v1] :  ? [v2] : (m1_relset_1(v2, v0, v1) & v1_funct_1(v2) & v1_relat_1(v2)) &  ? [v0] :  ? [v1] : m1_subset_1(v1, v0) &  ? [v0] : r1_tarski(v0, v0)
% 19.18/5.08  |
% 19.18/5.08  | Applying alpha-rule on (1) yields:
% 19.18/5.08  | (2)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (g1_group_1(v0, v1) = v2) |  ~ v1_funct_1(v1) | v1_xboole_0(v0) | v1_group_1(v2) |  ? [v3] : (k2_zfmisc_1(v0, v0) = v3 & ( ~ v1_funct_2(v1, v3, v0) |  ~ m1_relset_1(v1, v3, v0))))
% 19.18/5.08  | (3)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (u1_struct_0(v2) = v3) |  ~ (u1_struct_0(v0) = v1) |  ~ v4_group_6(v4, v0, v2) |  ~ m2_relset_1(v4, v1, v3) |  ~ v1_group_6(v4, v0, v2) |  ~ v1_funct_2(v4, v1, v3) |  ~ v1_funct_1(v4) |  ~ l1_group_1(v2) |  ~ l1_group_1(v0) |  ~ v4_group_1(v2) |  ~ v4_group_1(v0) |  ~ v3_group_1(v2) |  ~ v3_group_1(v0) | v3_group_6(v4, v0, v2) | v3_struct_0(v2) | v3_struct_0(v0))
% 19.18/5.08  | (4)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_group_1(v0) |  ~ v4_group_1(v0) |  ~ v3_group_1(v0) |  ~ v1_group_1(v0) | v3_struct_0(v0) |  ? [v2] : (k1_autgroup(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (k2_funct_1(v3) = v4) |  ~ m2_fraenkel(v3, v1, v1, v2) | m2_relset_1(v4, v1, v1)) &  ! [v3] :  ! [v4] : ( ~ (k2_funct_1(v3) = v4) |  ~ m2_fraenkel(v3, v1, v1, v2) | v1_group_6(v4, v0, v0)) &  ! [v3] :  ! [v4] : ( ~ (k2_funct_1(v3) = v4) |  ~ m2_fraenkel(v3, v1, v1, v2) | v1_funct_2(v4, v1, v1)) &  ! [v3] :  ! [v4] : ( ~ (k2_funct_1(v3) = v4) |  ~ m2_fraenkel(v3, v1, v1, v2) | v1_funct_1(v4))))
% 19.18/5.08  | (5)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (u1_struct_0(v2) = v1) |  ~ (u1_struct_0(v2) = v0))
% 19.18/5.08  | (6)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (g1_group_1(v0, v1) = v2) |  ~ v1_funct_1(v1) | l1_group_1(v2) |  ? [v3] : (k2_zfmisc_1(v0, v0) = v3 & ( ~ v1_funct_2(v1, v3, v0) |  ~ m1_relset_1(v1, v3, v0))))
% 19.18/5.08  | (7) v4_group_1(all_0_11_11)
% 19.18/5.08  | (8)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ m1_fraenkel(v2, v0, v1) |  ~ v1_xboole_0(v2))
% 19.18/5.08  | (9) v1_xboole_0(all_0_5_5)
% 19.18/5.09  | (10) v1_group_1(all_0_4_4)
% 19.18/5.09  | (11) v3_group_1(all_0_17_17)
% 19.18/5.09  | (12)  ! [v0] : ( ~ v1_xboole_0(v0) |  ~ v1_funct_1(v0) |  ~ v1_relat_1(v0) | v2_funct_1(v0))
% 19.18/5.09  | (13)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (u1_struct_0(v2) = v3) |  ~ (u1_struct_0(v0) = v1) |  ~ v3_group_6(v4, v0, v2) |  ~ v2_group_6(v4, v0, v2) |  ~ m2_relset_1(v4, v1, v3) |  ~ v1_group_6(v4, v0, v2) |  ~ v1_funct_2(v4, v1, v3) |  ~ v1_funct_1(v4) |  ~ l1_group_1(v2) |  ~ l1_group_1(v0) |  ~ v4_group_1(v2) |  ~ v4_group_1(v0) |  ~ v3_group_1(v2) |  ~ v3_group_1(v0) | v4_group_6(v4, v0, v2) | v3_struct_0(v2) | v3_struct_0(v0))
% 19.18/5.09  | (14)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) |  ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1))
% 19.18/5.09  | (15)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) |  ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2))
% 19.18/5.09  | (16)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (u1_struct_0(v2) = v3) |  ~ (u1_struct_0(v0) = v1) |  ~ v2_group_6(v4, v0, v2) |  ~ m2_relset_1(v4, v1, v3) |  ~ v1_group_6(v4, v0, v2) |  ~ v1_funct_2(v4, v1, v3) |  ~ v1_funct_1(v4) |  ~ l1_group_1(v2) |  ~ l1_group_1(v0) |  ~ v4_group_1(v2) |  ~ v4_group_1(v0) |  ~ v3_group_1(v2) |  ~ v3_group_1(v0) | v2_funct_1(v4) | v3_struct_0(v2) | v3_struct_0(v0))
% 19.18/5.09  | (17)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k2_zfmisc_1(v0, v1) = v3) |  ~ m2_relset_1(v2, v0, v1) |  ? [v4] : (k1_zfmisc_1(v3) = v4 & m1_subset_1(v2, v4)))
% 19.18/5.09  | (18) v1_relat_1(all_0_7_7)
% 19.18/5.09  | (19)  ~ v3_struct_0(all_0_12_12)
% 19.18/5.09  | (20) v1_group_1(all_0_11_11)
% 19.18/5.09  | (21)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_group_1(v0) |  ~ v4_group_1(v0) |  ~ v3_group_1(v0) |  ~ v1_group_1(v0) | v3_struct_0(v0) |  ? [v2] : (k1_autgroup(v0) = v2 &  ! [v3] : (v3 = v2 |  ~ m1_fraenkel(v3, v1, v1) |  ? [v4] : ((m2_relset_1(v4, v1, v1) & v1_group_6(v4, v0, v0) & v1_funct_2(v4, v1, v1) & v1_funct_1(v4) & ( ~ v3_group_6(v4, v0, v0) |  ~ v2_funct_1(v4) |  ~ r2_hidden(v4, v3)) & (r2_hidden(v4, v3) | (v3_group_6(v4, v0, v0) & v2_funct_1(v4)))) | (m2_fraenkel(v4, v1, v1, v3) & ( ~ m2_relset_1(v4, v1, v1) |  ~ v1_group_6(v4, v0, v0) |  ~ v1_funct_2(v4, v1, v1) |  ~ v1_funct_1(v4))))) &  ! [v3] : ( ~ m1_fraenkel(v2, v1, v1) |  ~ v3_group_6(v3, v0, v0) |  ~ m2_relset_1(v3, v1, v1) |  ~ v1_group_6(v3, v0, v0) |  ~ v2_funct_1(v3) |  ~ v1_funct_2(v3, v1, v1) |  ~ v1_funct_1(v3) | r2_hidden(v3, v2)) &  ! [v3] : ( ~ m1_fraenkel(v2, v1, v1) |  ~ m2_relset_1(v3, v1, v1) |  ~ v1_group_6(v3, v0, v0) |  ~ v1_funct_2(v3, v1, v1) |  ~ v1_funct_1(v3) |  ~ r2_hidden(v3, v2) | v3_group_6(v3, v0, v0)) &  ! [v3] : ( ~ m1_fraenkel(v2, v1, v1) |  ~ m2_relset_1(v3, v1, v1) |  ~ v1_group_6(v3, v0, v0) |  ~ v1_funct_2(v3, v1, v1) |  ~ v1_funct_1(v3) |  ~ r2_hidden(v3, v2) | v2_funct_1(v3)) &  ! [v3] : ( ~ m1_fraenkel(v2, v1, v1) |  ~ m2_fraenkel(v3, v1, v1, v2) | m2_relset_1(v3, v1, v1)) &  ! [v3] : ( ~ m1_fraenkel(v2, v1, v1) |  ~ m2_fraenkel(v3, v1, v1, v2) | v1_group_6(v3, v0, v0)) &  ! [v3] : ( ~ m1_fraenkel(v2, v1, v1) |  ~ m2_fraenkel(v3, v1, v1, v2) | v1_funct_2(v3, v1, v1)) &  ! [v3] : ( ~ m1_fraenkel(v2, v1, v1) |  ~ m2_fraenkel(v3, v1, v1, v2) | v1_funct_1(v3))))
% 19.18/5.09  | (22) v1_relat_1(all_0_10_10)
% 19.18/5.09  | (23)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k2_zfmisc_1(v1, v2) = v3) | v1_relat_1(v0) |  ? [v4] : (k1_zfmisc_1(v3) = v4 &  ~ m1_subset_1(v0, v4)))
% 19.18/5.09  | (24)  ? [v0] :  ? [v1] : m1_subset_1(v1, v0)
% 19.18/5.09  | (25)  ~ v1_xboole_0(all_0_9_9)
% 19.18/5.09  | (26)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ m1_fraenkel(v2, v0, v1) | v1_xboole_0(v1) |  ? [v3] : m2_fraenkel(v3, v0, v1, v2))
% 19.18/5.09  | (27) u1_struct_0(all_0_17_17) = all_0_16_16
% 19.18/5.09  | (28) l1_group_1(all_0_17_17)
% 19.18/5.09  | (29)  ~ v1_xboole_0(all_0_2_2)
% 19.18/5.09  | (30)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (u1_struct_0(v2) = v3) |  ~ (u1_struct_0(v0) = v1) |  ~ v4_group_6(v4, v0, v2) |  ~ m2_relset_1(v4, v1, v3) |  ~ v1_group_6(v4, v0, v2) |  ~ v1_funct_2(v4, v1, v3) |  ~ v1_funct_1(v4) |  ~ l1_group_1(v2) |  ~ l1_group_1(v0) |  ~ v4_group_1(v2) |  ~ v4_group_1(v0) |  ~ v3_group_1(v2) |  ~ v3_group_1(v0) | v2_group_6(v4, v0, v2) | v3_struct_0(v2) | v3_struct_0(v0))
% 19.18/5.09  | (31)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (g1_group_1(v3, v2) = v1) |  ~ (g1_group_1(v3, v2) = v0))
% 19.18/5.09  | (32)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) |  ~ m2_fraenkel(v3, v0, v1, v2) | v1_funct_2(v3, v0, v1) | v1_xboole_0(v1))
% 19.18/5.09  | (33) l1_group_1(all_0_4_4)
% 19.18/5.09  | (34)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (g1_group_1(v0, v1) = v2) |  ~ v1_funct_1(v1) | v1_group_1(v2) |  ? [v3] : (k2_zfmisc_1(v0, v0) = v3 & ( ~ v1_funct_2(v1, v3, v0) |  ~ m1_relset_1(v1, v3, v0))))
% 19.18/5.09  | (35)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ v1_funct_2(v2, v0, v1) |  ~ m1_relset_1(v2, v0, v1) |  ~ v1_xboole_0(v2) |  ~ v1_funct_1(v2) | v1_xboole_0(v1) | v1_xboole_0(v0))
% 19.18/5.09  | (36)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) |  ~ m1_subset_1(v1, v3) |  ~ r2_hidden(v0, v1) | m1_subset_1(v0, v2))
% 19.18/5.09  | (37)  ! [v0] :  ! [v1] : ( ~ (k1_autgroup(v0) = v1) |  ~ l1_group_1(v0) |  ~ v4_group_1(v0) |  ~ v3_group_1(v0) |  ~ v1_group_1(v0) | v3_struct_0(v0) |  ? [v2] : (u1_struct_0(v0) = v2 & m1_fraenkel(v1, v2, v2)))
% 19.18/5.09  | (38) v2_funct_1(all_0_5_5)
% 19.18/5.09  | (39)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k1_autgroup(v2) = v1) |  ~ (k1_autgroup(v2) = v0))
% 19.18/5.09  | (40) v1_funct_1(all_0_10_10)
% 19.18/5.09  | (41)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ v1_funct_2(v2, v0, v1) |  ~ m1_relset_1(v2, v0, v1) |  ~ v1_funct_1(v2) | v1_partfun1(v2, v0, v1) | v1_xboole_0(v1))
% 19.18/5.10  | (42)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (u1_group_1(v2) = v1) |  ~ (u1_group_1(v2) = v0))
% 19.18/5.10  | (43)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k1_zfmisc_1(v2) = v1) |  ~ (k1_zfmisc_1(v2) = v0))
% 19.18/5.10  | (44) l1_struct_0(all_0_1_1)
% 19.18/5.10  | (45)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ m1_fraenkel(v2, v0, v1) | v1_fraenkel(v2))
% 19.18/5.10  | (46) v1_fraenkel(all_0_2_2)
% 19.18/5.10  | (47) m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_0_15_15)
% 19.18/5.10  | (48)  ! [v0] :  ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1))
% 19.18/5.10  | (49)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ v1_funct_2(v2, v0, v1) |  ~ m1_relset_1(v2, v0, v1) |  ~ v1_funct_1(v2) | v1_partfun1(v2, v0, v1) | v1_xboole_0(v1) | v1_xboole_0(v0))
% 19.18/5.10  | (50)  ! [v0] :  ! [v1] : ( ~ m1_subset_1(v1, v0) |  ~ v1_fraenkel(v0) | v1_relat_1(v1))
% 19.28/5.10  | (51)  ! [v0] :  ! [v1] : ( ~ (k2_funct_1(v0) = v1) |  ~ v1_funct_1(v0) |  ~ v1_relat_1(v0) | v1_relat_1(v1))
% 19.28/5.10  | (52)  ! [v0] :  ! [v1] : ( ~ v1_xboole_0(v1) |  ~ r2_hidden(v0, v1))
% 19.28/5.10  | (53)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) |  ~ m2_fraenkel(v3, v0, v1, v2) | m2_relset_1(v3, v0, v1) | v1_xboole_0(v1))
% 19.28/5.10  | (54)  ? [v0] : r1_tarski(v0, v0)
% 19.28/5.10  | (55) v1_xboole_0(all_0_6_6)
% 19.28/5.10  | (56)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k2_funct_1(v4) = v5) |  ~ (u1_struct_0(v2) = v3) |  ~ (u1_struct_0(v0) = v1) |  ~ v4_group_6(v4, v2, v0) |  ~ m2_relset_1(v5, v1, v3) |  ~ m2_relset_1(v4, v3, v1) |  ~ v1_group_6(v5, v0, v2) |  ~ v1_group_6(v4, v2, v0) |  ~ v1_funct_2(v5, v1, v3) |  ~ v1_funct_2(v4, v3, v1) |  ~ v1_funct_1(v5) |  ~ v1_funct_1(v4) |  ~ l1_group_1(v2) |  ~ l1_group_1(v0) |  ~ v4_group_1(v2) |  ~ v4_group_1(v0) |  ~ v3_group_1(v2) |  ~ v3_group_1(v0) | v4_group_6(v5, v0, v2) | v3_struct_0(v2) | v3_struct_0(v0))
% 19.28/5.10  | (57)  ! [v0] :  ! [v1] : ( ~ (k2_funct_1(v0) = v1) |  ~ v1_funct_1(v0) |  ~ v1_relat_1(v0) | v1_funct_1(v1))
% 19.28/5.10  | (58) l1_group_1(all_0_8_8)
% 19.28/5.10  | (59)  ? [v0] :  ? [v1] :  ? [v2] : (v1_funct_2(v2, v0, v1) & m1_relset_1(v2, v0, v1) & v1_funct_1(v2) & v1_relat_1(v2))
% 19.28/5.10  | (60)  ! [v0] :  ! [v1] : ( ~ (u1_group_1(v0) = v1) |  ~ l1_group_1(v0) |  ? [v2] :  ? [v3] : (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) = v2 & m2_relset_1(v1, v3, v2) & v1_funct_2(v1, v3, v2)))
% 19.28/5.10  | (61) v1_relat_1(all_0_5_5)
% 19.28/5.10  | (62) l1_group_1(all_0_11_11)
% 19.28/5.10  | (63) v1_group_1(all_0_17_17)
% 19.28/5.10  | (64) v2_group_1(all_0_11_11)
% 19.28/5.10  | (65)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k2_zfmisc_1(v3, v2) = v1) |  ~ (k2_zfmisc_1(v3, v2) = v0))
% 19.28/5.10  | (66) v1_funct_1(all_0_3_3)
% 19.28/5.10  | (67) k2_funct_1(all_0_14_14) = all_0_13_13
% 19.28/5.10  | (68)  ~ v3_struct_0(all_0_8_8)
% 19.28/5.10  | (69)  ! [v0] :  ! [v1] : ( ~ (k1_autgroup(v0) = v1) |  ~ l1_group_1(v0) |  ~ v4_group_1(v0) |  ~ v3_group_1(v0) |  ~ v1_group_1(v0) | v3_struct_0(v0) |  ? [v2] : (u1_struct_0(v0) = v2 &  ! [v3] : (v3 = v1 |  ~ m1_fraenkel(v3, v2, v2) |  ? [v4] : ((m2_relset_1(v4, v2, v2) & v1_group_6(v4, v0, v0) & v1_funct_2(v4, v2, v2) & v1_funct_1(v4) & ( ~ v3_group_6(v4, v0, v0) |  ~ v2_funct_1(v4) |  ~ r2_hidden(v4, v3)) & (r2_hidden(v4, v3) | (v3_group_6(v4, v0, v0) & v2_funct_1(v4)))) | (m2_fraenkel(v4, v2, v2, v3) & ( ~ m2_relset_1(v4, v2, v2) |  ~ v1_group_6(v4, v0, v0) |  ~ v1_funct_2(v4, v2, v2) |  ~ v1_funct_1(v4))))) &  ! [v3] : ( ~ m1_fraenkel(v1, v2, v2) |  ~ v3_group_6(v3, v0, v0) |  ~ m2_relset_1(v3, v2, v2) |  ~ v1_group_6(v3, v0, v0) |  ~ v2_funct_1(v3) |  ~ v1_funct_2(v3, v2, v2) |  ~ v1_funct_1(v3) | r2_hidden(v3, v1)) &  ! [v3] : ( ~ m1_fraenkel(v1, v2, v2) |  ~ m2_relset_1(v3, v2, v2) |  ~ v1_group_6(v3, v0, v0) |  ~ v1_funct_2(v3, v2, v2) |  ~ v1_funct_1(v3) |  ~ r2_hidden(v3, v1) | v3_group_6(v3, v0, v0)) &  ! [v3] : ( ~ m1_fraenkel(v1, v2, v2) |  ~ m2_relset_1(v3, v2, v2) |  ~ v1_group_6(v3, v0, v0) |  ~ v1_funct_2(v3, v2, v2) |  ~ v1_funct_1(v3) |  ~ r2_hidden(v3, v1) | v2_funct_1(v3)) &  ! [v3] : ( ~ m1_fraenkel(v1, v2, v2) |  ~ m2_fraenkel(v3, v2, v2, v1) | m2_relset_1(v3, v2, v2)) &  ! [v3] : ( ~ m1_fraenkel(v1, v2, v2) |  ~ m2_fraenkel(v3, v2, v2, v1) | v1_group_6(v3, v0, v0)) &  ! [v3] : ( ~ m1_fraenkel(v1, v2, v2) |  ~ m2_fraenkel(v3, v2, v2, v1) | v1_funct_2(v3, v2, v2)) &  ! [v3] : ( ~ m1_fraenkel(v1, v2, v2) |  ~ m2_fraenkel(v3, v2, v2, v1) | v1_funct_1(v3))))
% 19.28/5.10  | (70)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ v1_xboole_0(v1) |  ~ v1_xboole_0(v0))
% 19.28/5.10  | (71)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (u1_struct_0(v2) = v3) |  ~ (u1_struct_0(v0) = v1) |  ~ m2_relset_1(v4, v1, v3) |  ~ v1_group_6(v4, v0, v2) |  ~ v2_funct_1(v4) |  ~ v1_funct_2(v4, v1, v3) |  ~ v1_funct_1(v4) |  ~ l1_group_1(v2) |  ~ l1_group_1(v0) |  ~ v4_group_1(v2) |  ~ v4_group_1(v0) |  ~ v3_group_1(v2) |  ~ v3_group_1(v0) | v2_group_6(v4, v0, v2) | v3_struct_0(v2) | v3_struct_0(v0))
% 19.28/5.10  | (72)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_struct_0(v0) | v3_struct_0(v0) |  ? [v2] :  ? [v3] : (k1_zfmisc_1(v1) = v2 & m1_subset_1(v3, v2) &  ~ v1_xboole_0(v3)))
% 19.28/5.10  | (73)  ~ v3_struct_0(all_0_11_11)
% 19.28/5.10  | (74)  ~ m2_fraenkel(all_0_13_13, all_0_16_16, all_0_16_16, all_0_15_15)
% 19.28/5.10  | (75)  ! [v0] : ( ~ v1_xboole_0(v0) | v1_funct_1(v0))
% 19.28/5.10  | (76) v1_funct_1(all_0_5_5)
% 19.28/5.10  | (77)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ v1_partfun1(v2, v0, v1) |  ~ m1_relset_1(v2, v0, v1) |  ~ v1_funct_1(v2) | v1_funct_2(v2, v0, v1))
% 19.28/5.10  | (78)  ? [v0] :  ? [v1] :  ? [v2] : m1_fraenkel(v2, v0, v1)
% 19.28/5.10  | (79) v1_group_1(all_0_8_8)
% 19.28/5.10  | (80)  ! [v0] :  ! [v1] : ( ~ (u1_group_1(v0) = v1) |  ~ l1_group_1(v0) | v1_funct_1(v1))
% 19.28/5.10  | (81)  ! [v0] : ( ~ l1_group_1(v0) |  ~ v3_group_1(v0) | v2_group_1(v0) | v3_struct_0(v0))
% 19.28/5.10  | (82) v4_group_1(all_0_17_17)
% 19.28/5.10  | (83)  ! [v0] :  ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1))
% 19.28/5.10  | (84)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_zfmisc_1(v1, v1) = v2) |  ~ (u1_struct_0(v0) = v1) |  ~ l1_group_1(v0) |  ? [v3] : (u1_group_1(v0) = v3 & m2_relset_1(v3, v2, v1) & v1_funct_2(v3, v2, v1) & v1_funct_1(v3)))
% 19.28/5.10  | (85) v1_funct_1(all_0_7_7)
% 19.28/5.10  | (86)  ? [v0] :  ? [v1] :  ? [v2] : m1_relset_1(v2, v0, v1)
% 19.28/5.10  | (87)  ! [v0] :  ! [v1] : ( ~ m1_subset_1(v1, v0) |  ~ v1_fraenkel(v0) | v1_funct_1(v1))
% 19.28/5.10  | (88)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (u1_struct_0(v1) = v3) |  ~ (u1_struct_0(v0) = v2) |  ~ l1_group_1(v1) |  ~ l1_group_1(v0) |  ~ v4_group_1(v1) |  ~ v4_group_1(v0) |  ~ v3_group_1(v1) |  ~ v3_group_1(v0) | v3_struct_0(v1) | v3_struct_0(v0) |  ? [v4] : (v1_group_6(v4, v0, v1) & v1_funct_2(v4, v2, v3) & v1_partfun1(v4, v2, v3) & m1_relset_1(v4, v2, v3) & v1_funct_1(v4) & v1_relat_1(v4) &  ~ v1_xboole_0(v4)))
% 19.28/5.11  | (89)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_group_1(v0) |  ~ v4_group_1(v0) |  ~ v3_group_1(v0) |  ~ v1_group_1(v0) | v3_struct_0(v0) |  ? [v2] : (k1_autgroup(v0) = v2 &  ! [v3] : ( ~ v4_group_6(v3, v0, v0) |  ~ m2_relset_1(v3, v1, v1) |  ~ v1_group_6(v3, v0, v0) |  ~ v1_funct_2(v3, v1, v1) |  ~ v1_funct_1(v3) | r2_hidden(v3, v2)) &  ! [v3] : ( ~ m2_relset_1(v3, v1, v1) |  ~ v1_group_6(v3, v0, v0) |  ~ v1_funct_2(v3, v1, v1) |  ~ v1_funct_1(v3) |  ~ r2_hidden(v3, v2) | v4_group_6(v3, v0, v0))))
% 19.28/5.11  | (90)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) |  ~ m2_fraenkel(v3, v0, v1, v2) | v1_xboole_0(v1) | m1_subset_1(v3, v2))
% 19.28/5.11  | (91)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) |  ~ m1_subset_1(v3, v2) | v1_xboole_0(v1) | m2_fraenkel(v3, v0, v1, v2))
% 19.28/5.11  | (92)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (u1_struct_0(v0) = v1) |  ~ (u1_group_1(v0) = v2) |  ~ (g1_group_1(v1, v2) = v3) |  ~ l1_group_1(v0) |  ~ v1_group_1(v0))
% 19.28/5.11  | (93)  ! [v0] : (v0 = k1_xboole_0 |  ~ v1_xboole_0(v0))
% 19.28/5.11  | (94)  ! [v0] :  ! [v1] : ( ~ (k1_autgroup(v0) = v1) |  ~ l1_group_1(v0) |  ~ v4_group_1(v0) |  ~ v3_group_1(v0) |  ~ v1_group_1(v0) | v3_struct_0(v0) |  ? [v2] : (u1_struct_0(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (k2_funct_1(v3) = v4) |  ~ m2_fraenkel(v3, v2, v2, v1) | m2_relset_1(v4, v2, v2)) &  ! [v3] :  ! [v4] : ( ~ (k2_funct_1(v3) = v4) |  ~ m2_fraenkel(v3, v2, v2, v1) | v1_group_6(v4, v0, v0)) &  ! [v3] :  ! [v4] : ( ~ (k2_funct_1(v3) = v4) |  ~ m2_fraenkel(v3, v2, v2, v1) | v1_funct_2(v4, v2, v2)) &  ! [v3] :  ! [v4] : ( ~ (k2_funct_1(v3) = v4) |  ~ m2_fraenkel(v3, v2, v2, v1) | v1_funct_1(v4))))
% 19.28/5.11  | (95) k1_autgroup(all_0_17_17) = all_0_15_15
% 19.28/5.11  | (96)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_group_1(v0) |  ? [v2] :  ? [v3] : (k2_zfmisc_1(v1, v1) = v3 & u1_group_1(v0) = v2 & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(v2)))
% 19.28/5.11  | (97)  ! [v0] :  ! [v1] : ( ~ r2_hidden(v1, v0) |  ~ r2_hidden(v0, v1))
% 19.28/5.11  | (98)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_struct_0(v0) |  ~ v1_xboole_0(v1) | v3_struct_0(v0))
% 19.28/5.11  | (99) v1_xboole_0(all_0_7_7)
% 19.28/5.11  | (100)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v1 |  ~ (g1_group_1(v3, v4) = v2) |  ~ (g1_group_1(v0, v1) = v2) |  ~ v1_funct_1(v1) |  ? [v5] : (k2_zfmisc_1(v0, v0) = v5 & ( ~ v1_funct_2(v1, v5, v0) |  ~ m1_relset_1(v1, v5, v0))))
% 19.28/5.11  | (101)  ! [v0] :  ! [v1] : ( ~ (k1_autgroup(v0) = v1) |  ~ l1_group_1(v0) |  ~ v4_group_1(v0) |  ~ v3_group_1(v0) |  ~ v1_group_1(v0) | v3_struct_0(v0) |  ? [v2] : (u1_struct_0(v0) = v2 &  ! [v3] : ( ~ v4_group_6(v3, v0, v0) |  ~ m2_relset_1(v3, v2, v2) |  ~ v1_group_6(v3, v0, v0) |  ~ v1_funct_2(v3, v2, v2) |  ~ v1_funct_1(v3) | r2_hidden(v3, v1)) &  ! [v3] : ( ~ m2_relset_1(v3, v2, v2) |  ~ v1_group_6(v3, v0, v0) |  ~ v1_funct_2(v3, v2, v2) |  ~ v1_funct_1(v3) |  ~ r2_hidden(v3, v1) | v4_group_6(v3, v0, v0))))
% 19.28/5.11  | (102)  ~ v3_struct_0(all_0_17_17)
% 19.28/5.11  | (103)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) |  ~ v1_xboole_0(v2) |  ~ m1_subset_1(v1, v3) |  ~ r2_hidden(v0, v1))
% 19.28/5.11  | (104) v2_funct_1(all_0_10_10)
% 19.28/5.11  | (105)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v0 |  ~ (g1_group_1(v3, v4) = v2) |  ~ (g1_group_1(v0, v1) = v2) |  ~ v1_funct_1(v1) |  ? [v5] : (k2_zfmisc_1(v0, v0) = v5 & ( ~ v1_funct_2(v1, v5, v0) |  ~ m1_relset_1(v1, v5, v0))))
% 19.28/5.11  | (106)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) |  ~ m2_fraenkel(v3, v0, v1, v2) | v1_xboole_0(v1) | v1_funct_1(v3))
% 19.28/5.11  | (107) v1_xboole_0(k1_xboole_0)
% 19.28/5.11  | (108)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (g1_group_1(v0, v1) = v2) |  ~ v1_funct_1(v1) |  ~ v3_struct_0(v2) | v1_xboole_0(v0) |  ? [v3] : (k2_zfmisc_1(v0, v0) = v3 & ( ~ v1_funct_2(v1, v3, v0) |  ~ m1_relset_1(v1, v3, v0))))
% 19.28/5.11  | (109)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k2_funct_1(v2) = v1) |  ~ (k2_funct_1(v2) = v0))
% 19.28/5.11  | (110) l1_struct_0(all_0_12_12)
% 19.28/5.11  | (111)  ? [v0] :  ? [v1] :  ? [v2] : m2_relset_1(v2, v0, v1)
% 19.28/5.11  | (112)  ! [v0] : ( ~ l1_group_1(v0) | l1_struct_0(v0))
% 19.28/5.11  | (113) v3_group_1(all_0_11_11)
% 19.28/5.11  | (114)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_group_1(v0) |  ~ v4_group_1(v0) |  ~ v3_group_1(v0) |  ~ v1_group_1(v0) | v3_struct_0(v0) |  ? [v2] : (k1_autgroup(v0) = v2 & m1_fraenkel(v2, v1, v1)))
% 19.28/5.11  | (115) l1_group_1(all_0_0_0)
% 19.28/5.11  | (116)  ? [v0] :  ? [v1] :  ? [v2] : (m1_relset_1(v2, v0, v1) & v1_funct_1(v2) & v1_relat_1(v2))
% 19.28/5.11  | (117)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1))
% 19.28/5.11  | (118)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1))
% 19.28/5.11  | (119) v1_relat_1(all_0_3_3)
% 19.28/5.11  |
% 19.28/5.11  | Instantiating formula (96) with all_0_16_16, all_0_17_17 and discharging atoms u1_struct_0(all_0_17_17) = all_0_16_16, l1_group_1(all_0_17_17), yields:
% 19.28/5.11  | (120)  ? [v0] :  ? [v1] : (k2_zfmisc_1(all_0_16_16, all_0_16_16) = v1 & u1_group_1(all_0_17_17) = v0 & m2_relset_1(v0, v1, all_0_16_16) & v1_funct_2(v0, v1, all_0_16_16) & v1_funct_1(v0))
% 19.28/5.11  |
% 19.28/5.11  | Instantiating formula (112) with all_0_17_17 and discharging atoms l1_group_1(all_0_17_17), yields:
% 19.28/5.11  | (121) l1_struct_0(all_0_17_17)
% 19.28/5.11  |
% 19.28/5.11  | Instantiating formula (37) with all_0_15_15, all_0_17_17 and discharging atoms k1_autgroup(all_0_17_17) = all_0_15_15, l1_group_1(all_0_17_17), v4_group_1(all_0_17_17), v3_group_1(all_0_17_17), v1_group_1(all_0_17_17),  ~ v3_struct_0(all_0_17_17), yields:
% 19.28/5.11  | (122)  ? [v0] : (u1_struct_0(all_0_17_17) = v0 & m1_fraenkel(all_0_15_15, v0, v0))
% 19.28/5.11  |
% 19.28/5.11  | Instantiating formula (94) with all_0_15_15, all_0_17_17 and discharging atoms k1_autgroup(all_0_17_17) = all_0_15_15, l1_group_1(all_0_17_17), v4_group_1(all_0_17_17), v3_group_1(all_0_17_17), v1_group_1(all_0_17_17),  ~ v3_struct_0(all_0_17_17), yields:
% 19.28/5.11  | (123)  ? [v0] : (u1_struct_0(all_0_17_17) = v0 &  ! [v1] :  ! [v2] : ( ~ (k2_funct_1(v1) = v2) |  ~ m2_fraenkel(v1, v0, v0, all_0_15_15) | m2_relset_1(v2, v0, v0)) &  ! [v1] :  ! [v2] : ( ~ (k2_funct_1(v1) = v2) |  ~ m2_fraenkel(v1, v0, v0, all_0_15_15) | v1_group_6(v2, all_0_17_17, all_0_17_17)) &  ! [v1] :  ! [v2] : ( ~ (k2_funct_1(v1) = v2) |  ~ m2_fraenkel(v1, v0, v0, all_0_15_15) | v1_funct_2(v2, v0, v0)) &  ! [v1] :  ! [v2] : ( ~ (k2_funct_1(v1) = v2) |  ~ m2_fraenkel(v1, v0, v0, all_0_15_15) | v1_funct_1(v2)))
% 19.28/5.11  |
% 19.28/5.11  | Instantiating formula (69) with all_0_15_15, all_0_17_17 and discharging atoms k1_autgroup(all_0_17_17) = all_0_15_15, l1_group_1(all_0_17_17), v4_group_1(all_0_17_17), v3_group_1(all_0_17_17), v1_group_1(all_0_17_17),  ~ v3_struct_0(all_0_17_17), yields:
% 19.28/5.11  | (124)  ? [v0] : (u1_struct_0(all_0_17_17) = v0 &  ! [v1] : (v1 = all_0_15_15 |  ~ m1_fraenkel(v1, v0, v0) |  ? [v2] : ((m2_relset_1(v2, v0, v0) & v1_group_6(v2, all_0_17_17, all_0_17_17) & v1_funct_2(v2, v0, v0) & v1_funct_1(v2) & ( ~ v3_group_6(v2, all_0_17_17, all_0_17_17) |  ~ v2_funct_1(v2) |  ~ r2_hidden(v2, v1)) & (r2_hidden(v2, v1) | (v3_group_6(v2, all_0_17_17, all_0_17_17) & v2_funct_1(v2)))) | (m2_fraenkel(v2, v0, v0, v1) & ( ~ m2_relset_1(v2, v0, v0) |  ~ v1_group_6(v2, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v2, v0, v0) |  ~ v1_funct_1(v2))))) &  ! [v1] : ( ~ m1_fraenkel(all_0_15_15, v0, v0) |  ~ v3_group_6(v1, all_0_17_17, all_0_17_17) |  ~ m2_relset_1(v1, v0, v0) |  ~ v1_group_6(v1, all_0_17_17, all_0_17_17) |  ~ v2_funct_1(v1) |  ~ v1_funct_2(v1, v0, v0) |  ~ v1_funct_1(v1) | r2_hidden(v1, all_0_15_15)) &  ! [v1] : ( ~ m1_fraenkel(all_0_15_15, v0, v0) |  ~ m2_relset_1(v1, v0, v0) |  ~ v1_group_6(v1, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v1, v0, v0) |  ~ v1_funct_1(v1) |  ~ r2_hidden(v1, all_0_15_15) | v3_group_6(v1, all_0_17_17, all_0_17_17)) &  ! [v1] : ( ~ m1_fraenkel(all_0_15_15, v0, v0) |  ~ m2_relset_1(v1, v0, v0) |  ~ v1_group_6(v1, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v1, v0, v0) |  ~ v1_funct_1(v1) |  ~ r2_hidden(v1, all_0_15_15) | v2_funct_1(v1)) &  ! [v1] : ( ~ m1_fraenkel(all_0_15_15, v0, v0) |  ~ m2_fraenkel(v1, v0, v0, all_0_15_15) | m2_relset_1(v1, v0, v0)) &  ! [v1] : ( ~ m1_fraenkel(all_0_15_15, v0, v0) |  ~ m2_fraenkel(v1, v0, v0, all_0_15_15) | v1_group_6(v1, all_0_17_17, all_0_17_17)) &  ! [v1] : ( ~ m1_fraenkel(all_0_15_15, v0, v0) |  ~ m2_fraenkel(v1, v0, v0, all_0_15_15) | v1_funct_2(v1, v0, v0)) &  ! [v1] : ( ~ m1_fraenkel(all_0_15_15, v0, v0) |  ~ m2_fraenkel(v1, v0, v0, all_0_15_15) | v1_funct_1(v1)))
% 19.28/5.12  |
% 19.28/5.12  | Instantiating formula (101) with all_0_15_15, all_0_17_17 and discharging atoms k1_autgroup(all_0_17_17) = all_0_15_15, l1_group_1(all_0_17_17), v4_group_1(all_0_17_17), v3_group_1(all_0_17_17), v1_group_1(all_0_17_17),  ~ v3_struct_0(all_0_17_17), yields:
% 19.28/5.12  | (125)  ? [v0] : (u1_struct_0(all_0_17_17) = v0 &  ! [v1] : ( ~ v4_group_6(v1, all_0_17_17, all_0_17_17) |  ~ m2_relset_1(v1, v0, v0) |  ~ v1_group_6(v1, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v1, v0, v0) |  ~ v1_funct_1(v1) | r2_hidden(v1, all_0_15_15)) &  ! [v1] : ( ~ m2_relset_1(v1, v0, v0) |  ~ v1_group_6(v1, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v1, v0, v0) |  ~ v1_funct_1(v1) |  ~ r2_hidden(v1, all_0_15_15) | v4_group_6(v1, all_0_17_17, all_0_17_17)))
% 19.28/5.12  |
% 19.28/5.12  | Instantiating formula (114) with all_0_16_16, all_0_17_17 and discharging atoms u1_struct_0(all_0_17_17) = all_0_16_16, l1_group_1(all_0_17_17), v4_group_1(all_0_17_17), v3_group_1(all_0_17_17), v1_group_1(all_0_17_17),  ~ v3_struct_0(all_0_17_17), yields:
% 19.28/5.12  | (126)  ? [v0] : (k1_autgroup(all_0_17_17) = v0 & m1_fraenkel(v0, all_0_16_16, all_0_16_16))
% 19.28/5.12  |
% 19.28/5.12  | Instantiating formula (4) with all_0_16_16, all_0_17_17 and discharging atoms u1_struct_0(all_0_17_17) = all_0_16_16, l1_group_1(all_0_17_17), v4_group_1(all_0_17_17), v3_group_1(all_0_17_17), v1_group_1(all_0_17_17),  ~ v3_struct_0(all_0_17_17), yields:
% 19.28/5.12  | (127)  ? [v0] : (k1_autgroup(all_0_17_17) = v0 &  ! [v1] :  ! [v2] : ( ~ (k2_funct_1(v1) = v2) |  ~ m2_fraenkel(v1, all_0_16_16, all_0_16_16, v0) | m2_relset_1(v2, all_0_16_16, all_0_16_16)) &  ! [v1] :  ! [v2] : ( ~ (k2_funct_1(v1) = v2) |  ~ m2_fraenkel(v1, all_0_16_16, all_0_16_16, v0) | v1_group_6(v2, all_0_17_17, all_0_17_17)) &  ! [v1] :  ! [v2] : ( ~ (k2_funct_1(v1) = v2) |  ~ m2_fraenkel(v1, all_0_16_16, all_0_16_16, v0) | v1_funct_2(v2, all_0_16_16, all_0_16_16)) &  ! [v1] :  ! [v2] : ( ~ (k2_funct_1(v1) = v2) |  ~ m2_fraenkel(v1, all_0_16_16, all_0_16_16, v0) | v1_funct_1(v2)))
% 19.28/5.12  |
% 19.28/5.12  | Instantiating formula (21) with all_0_16_16, all_0_17_17 and discharging atoms u1_struct_0(all_0_17_17) = all_0_16_16, l1_group_1(all_0_17_17), v4_group_1(all_0_17_17), v3_group_1(all_0_17_17), v1_group_1(all_0_17_17),  ~ v3_struct_0(all_0_17_17), yields:
% 19.28/5.12  | (128)  ? [v0] : (k1_autgroup(all_0_17_17) = v0 &  ! [v1] : (v1 = v0 |  ~ m1_fraenkel(v1, all_0_16_16, all_0_16_16) |  ? [v2] : ((m2_relset_1(v2, all_0_16_16, all_0_16_16) & v1_group_6(v2, all_0_17_17, all_0_17_17) & v1_funct_2(v2, all_0_16_16, all_0_16_16) & v1_funct_1(v2) & ( ~ v3_group_6(v2, all_0_17_17, all_0_17_17) |  ~ v2_funct_1(v2) |  ~ r2_hidden(v2, v1)) & (r2_hidden(v2, v1) | (v3_group_6(v2, all_0_17_17, all_0_17_17) & v2_funct_1(v2)))) | (m2_fraenkel(v2, all_0_16_16, all_0_16_16, v1) & ( ~ m2_relset_1(v2, all_0_16_16, all_0_16_16) |  ~ v1_group_6(v2, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v2, all_0_16_16, all_0_16_16) |  ~ v1_funct_1(v2))))) &  ! [v1] : ( ~ m1_fraenkel(v0, all_0_16_16, all_0_16_16) |  ~ v3_group_6(v1, all_0_17_17, all_0_17_17) |  ~ m2_relset_1(v1, all_0_16_16, all_0_16_16) |  ~ v1_group_6(v1, all_0_17_17, all_0_17_17) |  ~ v2_funct_1(v1) |  ~ v1_funct_2(v1, all_0_16_16, all_0_16_16) |  ~ v1_funct_1(v1) | r2_hidden(v1, v0)) &  ! [v1] : ( ~ m1_fraenkel(v0, all_0_16_16, all_0_16_16) |  ~ m2_relset_1(v1, all_0_16_16, all_0_16_16) |  ~ v1_group_6(v1, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v1, all_0_16_16, all_0_16_16) |  ~ v1_funct_1(v1) |  ~ r2_hidden(v1, v0) | v3_group_6(v1, all_0_17_17, all_0_17_17)) &  ! [v1] : ( ~ m1_fraenkel(v0, all_0_16_16, all_0_16_16) |  ~ m2_relset_1(v1, all_0_16_16, all_0_16_16) |  ~ v1_group_6(v1, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v1, all_0_16_16, all_0_16_16) |  ~ v1_funct_1(v1) |  ~ r2_hidden(v1, v0) | v2_funct_1(v1)) &  ! [v1] : ( ~ m1_fraenkel(v0, all_0_16_16, all_0_16_16) |  ~ m2_fraenkel(v1, all_0_16_16, all_0_16_16, v0) | m2_relset_1(v1, all_0_16_16, all_0_16_16)) &  ! [v1] : ( ~ m1_fraenkel(v0, all_0_16_16, all_0_16_16) |  ~ m2_fraenkel(v1, all_0_16_16, all_0_16_16, v0) | v1_group_6(v1, all_0_17_17, all_0_17_17)) &  ! [v1] : ( ~ m1_fraenkel(v0, all_0_16_16, all_0_16_16) |  ~ m2_fraenkel(v1, all_0_16_16, all_0_16_16, v0) | v1_funct_2(v1, all_0_16_16, all_0_16_16)) &  ! [v1] : ( ~ m1_fraenkel(v0, all_0_16_16, all_0_16_16) |  ~ m2_fraenkel(v1, all_0_16_16, all_0_16_16, v0) | v1_funct_1(v1)))
% 19.28/5.12  |
% 19.28/5.12  | Instantiating formula (89) with all_0_16_16, all_0_17_17 and discharging atoms u1_struct_0(all_0_17_17) = all_0_16_16, l1_group_1(all_0_17_17), v4_group_1(all_0_17_17), v3_group_1(all_0_17_17), v1_group_1(all_0_17_17),  ~ v3_struct_0(all_0_17_17), yields:
% 19.28/5.12  | (129)  ? [v0] : (k1_autgroup(all_0_17_17) = v0 &  ! [v1] : ( ~ v4_group_6(v1, all_0_17_17, all_0_17_17) |  ~ m2_relset_1(v1, all_0_16_16, all_0_16_16) |  ~ v1_group_6(v1, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v1, all_0_16_16, all_0_16_16) |  ~ v1_funct_1(v1) | r2_hidden(v1, v0)) &  ! [v1] : ( ~ m2_relset_1(v1, all_0_16_16, all_0_16_16) |  ~ v1_group_6(v1, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v1, all_0_16_16, all_0_16_16) |  ~ v1_funct_1(v1) |  ~ r2_hidden(v1, v0) | v4_group_6(v1, all_0_17_17, all_0_17_17)))
% 19.28/5.12  |
% 19.28/5.12  | Instantiating (129) with all_29_0_37 yields:
% 19.28/5.12  | (130) k1_autgroup(all_0_17_17) = all_29_0_37 &  ! [v0] : ( ~ v4_group_6(v0, all_0_17_17, all_0_17_17) |  ~ m2_relset_1(v0, all_0_16_16, all_0_16_16) |  ~ v1_group_6(v0, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v0, all_0_16_16, all_0_16_16) |  ~ v1_funct_1(v0) | r2_hidden(v0, all_29_0_37)) &  ! [v0] : ( ~ m2_relset_1(v0, all_0_16_16, all_0_16_16) |  ~ v1_group_6(v0, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v0, all_0_16_16, all_0_16_16) |  ~ v1_funct_1(v0) |  ~ r2_hidden(v0, all_29_0_37) | v4_group_6(v0, all_0_17_17, all_0_17_17))
% 19.28/5.12  |
% 19.28/5.12  | Applying alpha-rule on (130) yields:
% 19.28/5.12  | (131) k1_autgroup(all_0_17_17) = all_29_0_37
% 19.28/5.12  | (132)  ! [v0] : ( ~ v4_group_6(v0, all_0_17_17, all_0_17_17) |  ~ m2_relset_1(v0, all_0_16_16, all_0_16_16) |  ~ v1_group_6(v0, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v0, all_0_16_16, all_0_16_16) |  ~ v1_funct_1(v0) | r2_hidden(v0, all_29_0_37))
% 19.28/5.12  | (133)  ! [v0] : ( ~ m2_relset_1(v0, all_0_16_16, all_0_16_16) |  ~ v1_group_6(v0, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v0, all_0_16_16, all_0_16_16) |  ~ v1_funct_1(v0) |  ~ r2_hidden(v0, all_29_0_37) | v4_group_6(v0, all_0_17_17, all_0_17_17))
% 19.28/5.12  |
% 19.28/5.12  | Instantiating (124) with all_32_0_38 yields:
% 19.28/5.12  | (134) u1_struct_0(all_0_17_17) = all_32_0_38 &  ! [v0] : (v0 = all_0_15_15 |  ~ m1_fraenkel(v0, all_32_0_38, all_32_0_38) |  ? [v1] : ((m2_relset_1(v1, all_32_0_38, all_32_0_38) & v1_group_6(v1, all_0_17_17, all_0_17_17) & v1_funct_2(v1, all_32_0_38, all_32_0_38) & v1_funct_1(v1) & ( ~ v3_group_6(v1, all_0_17_17, all_0_17_17) |  ~ v2_funct_1(v1) |  ~ r2_hidden(v1, v0)) & (r2_hidden(v1, v0) | (v3_group_6(v1, all_0_17_17, all_0_17_17) & v2_funct_1(v1)))) | (m2_fraenkel(v1, all_32_0_38, all_32_0_38, v0) & ( ~ m2_relset_1(v1, all_32_0_38, all_32_0_38) |  ~ v1_group_6(v1, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v1, all_32_0_38, all_32_0_38) |  ~ v1_funct_1(v1))))) &  ! [v0] : ( ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) |  ~ v3_group_6(v0, all_0_17_17, all_0_17_17) |  ~ m2_relset_1(v0, all_32_0_38, all_32_0_38) |  ~ v1_group_6(v0, all_0_17_17, all_0_17_17) |  ~ v2_funct_1(v0) |  ~ v1_funct_2(v0, all_32_0_38, all_32_0_38) |  ~ v1_funct_1(v0) | r2_hidden(v0, all_0_15_15)) &  ! [v0] : ( ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) |  ~ m2_relset_1(v0, all_32_0_38, all_32_0_38) |  ~ v1_group_6(v0, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v0, all_32_0_38, all_32_0_38) |  ~ v1_funct_1(v0) |  ~ r2_hidden(v0, all_0_15_15) | v3_group_6(v0, all_0_17_17, all_0_17_17)) &  ! [v0] : ( ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) |  ~ m2_relset_1(v0, all_32_0_38, all_32_0_38) |  ~ v1_group_6(v0, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v0, all_32_0_38, all_32_0_38) |  ~ v1_funct_1(v0) |  ~ r2_hidden(v0, all_0_15_15) | v2_funct_1(v0)) &  ! [v0] : ( ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) |  ~ m2_fraenkel(v0, all_32_0_38, all_32_0_38, all_0_15_15) | m2_relset_1(v0, all_32_0_38, all_32_0_38)) &  ! [v0] : ( ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) |  ~ m2_fraenkel(v0, all_32_0_38, all_32_0_38, all_0_15_15) | v1_group_6(v0, all_0_17_17, all_0_17_17)) &  ! [v0] : ( ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) |  ~ m2_fraenkel(v0, all_32_0_38, all_32_0_38, all_0_15_15) | v1_funct_2(v0, all_32_0_38, all_32_0_38)) &  ! [v0] : ( ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) |  ~ m2_fraenkel(v0, all_32_0_38, all_32_0_38, all_0_15_15) | v1_funct_1(v0))
% 19.28/5.12  |
% 19.28/5.12  | Applying alpha-rule on (134) yields:
% 19.28/5.12  | (135) u1_struct_0(all_0_17_17) = all_32_0_38
% 19.28/5.12  | (136)  ! [v0] : ( ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) |  ~ v3_group_6(v0, all_0_17_17, all_0_17_17) |  ~ m2_relset_1(v0, all_32_0_38, all_32_0_38) |  ~ v1_group_6(v0, all_0_17_17, all_0_17_17) |  ~ v2_funct_1(v0) |  ~ v1_funct_2(v0, all_32_0_38, all_32_0_38) |  ~ v1_funct_1(v0) | r2_hidden(v0, all_0_15_15))
% 19.28/5.12  | (137)  ! [v0] : ( ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) |  ~ m2_relset_1(v0, all_32_0_38, all_32_0_38) |  ~ v1_group_6(v0, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v0, all_32_0_38, all_32_0_38) |  ~ v1_funct_1(v0) |  ~ r2_hidden(v0, all_0_15_15) | v2_funct_1(v0))
% 19.28/5.12  | (138)  ! [v0] : ( ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) |  ~ m2_fraenkel(v0, all_32_0_38, all_32_0_38, all_0_15_15) | v1_funct_1(v0))
% 19.28/5.12  | (139)  ! [v0] : ( ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) |  ~ m2_fraenkel(v0, all_32_0_38, all_32_0_38, all_0_15_15) | m2_relset_1(v0, all_32_0_38, all_32_0_38))
% 19.28/5.12  | (140)  ! [v0] : ( ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) |  ~ m2_fraenkel(v0, all_32_0_38, all_32_0_38, all_0_15_15) | v1_funct_2(v0, all_32_0_38, all_32_0_38))
% 19.28/5.12  | (141)  ! [v0] : ( ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) |  ~ m2_relset_1(v0, all_32_0_38, all_32_0_38) |  ~ v1_group_6(v0, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v0, all_32_0_38, all_32_0_38) |  ~ v1_funct_1(v0) |  ~ r2_hidden(v0, all_0_15_15) | v3_group_6(v0, all_0_17_17, all_0_17_17))
% 19.28/5.12  | (142)  ! [v0] : ( ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) |  ~ m2_fraenkel(v0, all_32_0_38, all_32_0_38, all_0_15_15) | v1_group_6(v0, all_0_17_17, all_0_17_17))
% 19.28/5.12  | (143)  ! [v0] : (v0 = all_0_15_15 |  ~ m1_fraenkel(v0, all_32_0_38, all_32_0_38) |  ? [v1] : ((m2_relset_1(v1, all_32_0_38, all_32_0_38) & v1_group_6(v1, all_0_17_17, all_0_17_17) & v1_funct_2(v1, all_32_0_38, all_32_0_38) & v1_funct_1(v1) & ( ~ v3_group_6(v1, all_0_17_17, all_0_17_17) |  ~ v2_funct_1(v1) |  ~ r2_hidden(v1, v0)) & (r2_hidden(v1, v0) | (v3_group_6(v1, all_0_17_17, all_0_17_17) & v2_funct_1(v1)))) | (m2_fraenkel(v1, all_32_0_38, all_32_0_38, v0) & ( ~ m2_relset_1(v1, all_32_0_38, all_32_0_38) |  ~ v1_group_6(v1, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v1, all_32_0_38, all_32_0_38) |  ~ v1_funct_1(v1)))))
% 19.28/5.13  |
% 19.28/5.13  | Instantiating (123) with all_37_0_40 yields:
% 19.28/5.13  | (144) u1_struct_0(all_0_17_17) = all_37_0_40 &  ! [v0] :  ! [v1] : ( ~ (k2_funct_1(v0) = v1) |  ~ m2_fraenkel(v0, all_37_0_40, all_37_0_40, all_0_15_15) | m2_relset_1(v1, all_37_0_40, all_37_0_40)) &  ! [v0] :  ! [v1] : ( ~ (k2_funct_1(v0) = v1) |  ~ m2_fraenkel(v0, all_37_0_40, all_37_0_40, all_0_15_15) | v1_group_6(v1, all_0_17_17, all_0_17_17)) &  ! [v0] :  ! [v1] : ( ~ (k2_funct_1(v0) = v1) |  ~ m2_fraenkel(v0, all_37_0_40, all_37_0_40, all_0_15_15) | v1_funct_2(v1, all_37_0_40, all_37_0_40)) &  ! [v0] :  ! [v1] : ( ~ (k2_funct_1(v0) = v1) |  ~ m2_fraenkel(v0, all_37_0_40, all_37_0_40, all_0_15_15) | v1_funct_1(v1))
% 19.28/5.13  |
% 19.28/5.13  | Applying alpha-rule on (144) yields:
% 19.28/5.13  | (145)  ! [v0] :  ! [v1] : ( ~ (k2_funct_1(v0) = v1) |  ~ m2_fraenkel(v0, all_37_0_40, all_37_0_40, all_0_15_15) | v1_funct_2(v1, all_37_0_40, all_37_0_40))
% 19.28/5.13  | (146)  ! [v0] :  ! [v1] : ( ~ (k2_funct_1(v0) = v1) |  ~ m2_fraenkel(v0, all_37_0_40, all_37_0_40, all_0_15_15) | m2_relset_1(v1, all_37_0_40, all_37_0_40))
% 19.28/5.13  | (147)  ! [v0] :  ! [v1] : ( ~ (k2_funct_1(v0) = v1) |  ~ m2_fraenkel(v0, all_37_0_40, all_37_0_40, all_0_15_15) | v1_group_6(v1, all_0_17_17, all_0_17_17))
% 19.28/5.13  | (148)  ! [v0] :  ! [v1] : ( ~ (k2_funct_1(v0) = v1) |  ~ m2_fraenkel(v0, all_37_0_40, all_37_0_40, all_0_15_15) | v1_funct_1(v1))
% 19.28/5.13  | (149) u1_struct_0(all_0_17_17) = all_37_0_40
% 19.28/5.13  |
% 19.28/5.13  | Instantiating (120) with all_40_0_41, all_40_1_42 yields:
% 19.28/5.13  | (150) k2_zfmisc_1(all_0_16_16, all_0_16_16) = all_40_0_41 & u1_group_1(all_0_17_17) = all_40_1_42 & m2_relset_1(all_40_1_42, all_40_0_41, all_0_16_16) & v1_funct_2(all_40_1_42, all_40_0_41, all_0_16_16) & v1_funct_1(all_40_1_42)
% 19.28/5.13  |
% 19.28/5.13  | Applying alpha-rule on (150) yields:
% 19.28/5.13  | (151) v1_funct_2(all_40_1_42, all_40_0_41, all_0_16_16)
% 19.28/5.13  | (152) v1_funct_1(all_40_1_42)
% 19.28/5.13  | (153) k2_zfmisc_1(all_0_16_16, all_0_16_16) = all_40_0_41
% 19.28/5.13  | (154) m2_relset_1(all_40_1_42, all_40_0_41, all_0_16_16)
% 19.28/5.13  | (155) u1_group_1(all_0_17_17) = all_40_1_42
% 19.28/5.13  |
% 19.28/5.13  | Instantiating (128) with all_42_0_43 yields:
% 19.28/5.13  | (156) k1_autgroup(all_0_17_17) = all_42_0_43 &  ! [v0] : (v0 = all_42_0_43 |  ~ m1_fraenkel(v0, all_0_16_16, all_0_16_16) |  ? [v1] : ((m2_relset_1(v1, all_0_16_16, all_0_16_16) & v1_group_6(v1, all_0_17_17, all_0_17_17) & v1_funct_2(v1, all_0_16_16, all_0_16_16) & v1_funct_1(v1) & ( ~ v3_group_6(v1, all_0_17_17, all_0_17_17) |  ~ v2_funct_1(v1) |  ~ r2_hidden(v1, v0)) & (r2_hidden(v1, v0) | (v3_group_6(v1, all_0_17_17, all_0_17_17) & v2_funct_1(v1)))) | (m2_fraenkel(v1, all_0_16_16, all_0_16_16, v0) & ( ~ m2_relset_1(v1, all_0_16_16, all_0_16_16) |  ~ v1_group_6(v1, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v1, all_0_16_16, all_0_16_16) |  ~ v1_funct_1(v1))))) &  ! [v0] : ( ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) |  ~ v3_group_6(v0, all_0_17_17, all_0_17_17) |  ~ m2_relset_1(v0, all_0_16_16, all_0_16_16) |  ~ v1_group_6(v0, all_0_17_17, all_0_17_17) |  ~ v2_funct_1(v0) |  ~ v1_funct_2(v0, all_0_16_16, all_0_16_16) |  ~ v1_funct_1(v0) | r2_hidden(v0, all_42_0_43)) &  ! [v0] : ( ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) |  ~ m2_relset_1(v0, all_0_16_16, all_0_16_16) |  ~ v1_group_6(v0, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v0, all_0_16_16, all_0_16_16) |  ~ v1_funct_1(v0) |  ~ r2_hidden(v0, all_42_0_43) | v3_group_6(v0, all_0_17_17, all_0_17_17)) &  ! [v0] : ( ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) |  ~ m2_relset_1(v0, all_0_16_16, all_0_16_16) |  ~ v1_group_6(v0, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v0, all_0_16_16, all_0_16_16) |  ~ v1_funct_1(v0) |  ~ r2_hidden(v0, all_42_0_43) | v2_funct_1(v0)) &  ! [v0] : ( ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) |  ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_42_0_43) | m2_relset_1(v0, all_0_16_16, all_0_16_16)) &  ! [v0] : ( ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) |  ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_42_0_43) | v1_group_6(v0, all_0_17_17, all_0_17_17)) &  ! [v0] : ( ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) |  ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_42_0_43) | v1_funct_2(v0, all_0_16_16, all_0_16_16)) &  ! [v0] : ( ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) |  ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_42_0_43) | v1_funct_1(v0))
% 19.28/5.13  |
% 19.28/5.13  | Applying alpha-rule on (156) yields:
% 19.28/5.13  | (157)  ! [v0] : ( ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) |  ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_42_0_43) | v1_group_6(v0, all_0_17_17, all_0_17_17))
% 19.28/5.13  | (158)  ! [v0] : ( ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) |  ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_42_0_43) | m2_relset_1(v0, all_0_16_16, all_0_16_16))
% 19.28/5.13  | (159)  ! [v0] : ( ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) |  ~ m2_relset_1(v0, all_0_16_16, all_0_16_16) |  ~ v1_group_6(v0, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v0, all_0_16_16, all_0_16_16) |  ~ v1_funct_1(v0) |  ~ r2_hidden(v0, all_42_0_43) | v2_funct_1(v0))
% 19.28/5.13  | (160)  ! [v0] : ( ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) |  ~ m2_relset_1(v0, all_0_16_16, all_0_16_16) |  ~ v1_group_6(v0, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v0, all_0_16_16, all_0_16_16) |  ~ v1_funct_1(v0) |  ~ r2_hidden(v0, all_42_0_43) | v3_group_6(v0, all_0_17_17, all_0_17_17))
% 19.28/5.13  | (161) k1_autgroup(all_0_17_17) = all_42_0_43
% 19.28/5.13  | (162)  ! [v0] : (v0 = all_42_0_43 |  ~ m1_fraenkel(v0, all_0_16_16, all_0_16_16) |  ? [v1] : ((m2_relset_1(v1, all_0_16_16, all_0_16_16) & v1_group_6(v1, all_0_17_17, all_0_17_17) & v1_funct_2(v1, all_0_16_16, all_0_16_16) & v1_funct_1(v1) & ( ~ v3_group_6(v1, all_0_17_17, all_0_17_17) |  ~ v2_funct_1(v1) |  ~ r2_hidden(v1, v0)) & (r2_hidden(v1, v0) | (v3_group_6(v1, all_0_17_17, all_0_17_17) & v2_funct_1(v1)))) | (m2_fraenkel(v1, all_0_16_16, all_0_16_16, v0) & ( ~ m2_relset_1(v1, all_0_16_16, all_0_16_16) |  ~ v1_group_6(v1, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v1, all_0_16_16, all_0_16_16) |  ~ v1_funct_1(v1)))))
% 19.28/5.13  | (163)  ! [v0] : ( ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) |  ~ v3_group_6(v0, all_0_17_17, all_0_17_17) |  ~ m2_relset_1(v0, all_0_16_16, all_0_16_16) |  ~ v1_group_6(v0, all_0_17_17, all_0_17_17) |  ~ v2_funct_1(v0) |  ~ v1_funct_2(v0, all_0_16_16, all_0_16_16) |  ~ v1_funct_1(v0) | r2_hidden(v0, all_42_0_43))
% 19.28/5.13  | (164)  ! [v0] : ( ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) |  ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_42_0_43) | v1_funct_1(v0))
% 19.28/5.13  | (165)  ! [v0] : ( ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) |  ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_42_0_43) | v1_funct_2(v0, all_0_16_16, all_0_16_16))
% 19.28/5.13  |
% 19.28/5.13  | Instantiating (126) with all_45_0_44 yields:
% 19.28/5.13  | (166) k1_autgroup(all_0_17_17) = all_45_0_44 & m1_fraenkel(all_45_0_44, all_0_16_16, all_0_16_16)
% 19.28/5.13  |
% 19.28/5.13  | Applying alpha-rule on (166) yields:
% 19.28/5.13  | (167) k1_autgroup(all_0_17_17) = all_45_0_44
% 19.28/5.13  | (168) m1_fraenkel(all_45_0_44, all_0_16_16, all_0_16_16)
% 19.28/5.13  |
% 19.28/5.13  | Instantiating (125) with all_47_0_45 yields:
% 19.28/5.13  | (169) u1_struct_0(all_0_17_17) = all_47_0_45 &  ! [v0] : ( ~ v4_group_6(v0, all_0_17_17, all_0_17_17) |  ~ m2_relset_1(v0, all_47_0_45, all_47_0_45) |  ~ v1_group_6(v0, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v0, all_47_0_45, all_47_0_45) |  ~ v1_funct_1(v0) | r2_hidden(v0, all_0_15_15)) &  ! [v0] : ( ~ m2_relset_1(v0, all_47_0_45, all_47_0_45) |  ~ v1_group_6(v0, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v0, all_47_0_45, all_47_0_45) |  ~ v1_funct_1(v0) |  ~ r2_hidden(v0, all_0_15_15) | v4_group_6(v0, all_0_17_17, all_0_17_17))
% 19.28/5.13  |
% 19.28/5.13  | Applying alpha-rule on (169) yields:
% 19.28/5.13  | (170) u1_struct_0(all_0_17_17) = all_47_0_45
% 19.28/5.13  | (171)  ! [v0] : ( ~ v4_group_6(v0, all_0_17_17, all_0_17_17) |  ~ m2_relset_1(v0, all_47_0_45, all_47_0_45) |  ~ v1_group_6(v0, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v0, all_47_0_45, all_47_0_45) |  ~ v1_funct_1(v0) | r2_hidden(v0, all_0_15_15))
% 19.28/5.13  | (172)  ! [v0] : ( ~ m2_relset_1(v0, all_47_0_45, all_47_0_45) |  ~ v1_group_6(v0, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v0, all_47_0_45, all_47_0_45) |  ~ v1_funct_1(v0) |  ~ r2_hidden(v0, all_0_15_15) | v4_group_6(v0, all_0_17_17, all_0_17_17))
% 19.28/5.13  |
% 19.28/5.13  | Instantiating (127) with all_50_0_46 yields:
% 19.28/5.13  | (173) k1_autgroup(all_0_17_17) = all_50_0_46 &  ! [v0] :  ! [v1] : ( ~ (k2_funct_1(v0) = v1) |  ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_50_0_46) | m2_relset_1(v1, all_0_16_16, all_0_16_16)) &  ! [v0] :  ! [v1] : ( ~ (k2_funct_1(v0) = v1) |  ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_50_0_46) | v1_group_6(v1, all_0_17_17, all_0_17_17)) &  ! [v0] :  ! [v1] : ( ~ (k2_funct_1(v0) = v1) |  ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_50_0_46) | v1_funct_2(v1, all_0_16_16, all_0_16_16)) &  ! [v0] :  ! [v1] : ( ~ (k2_funct_1(v0) = v1) |  ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_50_0_46) | v1_funct_1(v1))
% 19.28/5.13  |
% 19.28/5.13  | Applying alpha-rule on (173) yields:
% 19.28/5.13  | (174) k1_autgroup(all_0_17_17) = all_50_0_46
% 19.28/5.13  | (175)  ! [v0] :  ! [v1] : ( ~ (k2_funct_1(v0) = v1) |  ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_50_0_46) | v1_group_6(v1, all_0_17_17, all_0_17_17))
% 19.28/5.13  | (176)  ! [v0] :  ! [v1] : ( ~ (k2_funct_1(v0) = v1) |  ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_50_0_46) | m2_relset_1(v1, all_0_16_16, all_0_16_16))
% 19.28/5.13  | (177)  ! [v0] :  ! [v1] : ( ~ (k2_funct_1(v0) = v1) |  ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_50_0_46) | v1_funct_2(v1, all_0_16_16, all_0_16_16))
% 19.28/5.13  | (178)  ! [v0] :  ! [v1] : ( ~ (k2_funct_1(v0) = v1) |  ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_50_0_46) | v1_funct_1(v1))
% 19.28/5.13  |
% 19.28/5.13  | Instantiating (122) with all_53_0_47 yields:
% 19.28/5.13  | (179) u1_struct_0(all_0_17_17) = all_53_0_47 & m1_fraenkel(all_0_15_15, all_53_0_47, all_53_0_47)
% 19.28/5.13  |
% 19.44/5.13  | Applying alpha-rule on (179) yields:
% 19.44/5.13  | (180) u1_struct_0(all_0_17_17) = all_53_0_47
% 19.44/5.13  | (181) m1_fraenkel(all_0_15_15, all_53_0_47, all_53_0_47)
% 19.44/5.13  |
% 19.44/5.13  | Instantiating formula (39) with all_0_17_17, all_45_0_44, all_0_15_15 and discharging atoms k1_autgroup(all_0_17_17) = all_45_0_44, k1_autgroup(all_0_17_17) = all_0_15_15, yields:
% 19.44/5.13  | (182) all_45_0_44 = all_0_15_15
% 19.44/5.13  |
% 19.44/5.13  | Instantiating formula (39) with all_0_17_17, all_45_0_44, all_50_0_46 and discharging atoms k1_autgroup(all_0_17_17) = all_50_0_46, k1_autgroup(all_0_17_17) = all_45_0_44, yields:
% 19.44/5.13  | (183) all_50_0_46 = all_45_0_44
% 19.44/5.13  |
% 19.44/5.13  | Instantiating formula (39) with all_0_17_17, all_42_0_43, all_50_0_46 and discharging atoms k1_autgroup(all_0_17_17) = all_50_0_46, k1_autgroup(all_0_17_17) = all_42_0_43, yields:
% 19.44/5.13  | (184) all_50_0_46 = all_42_0_43
% 19.44/5.13  |
% 19.44/5.13  | Instantiating formula (39) with all_0_17_17, all_29_0_37, all_45_0_44 and discharging atoms k1_autgroup(all_0_17_17) = all_45_0_44, k1_autgroup(all_0_17_17) = all_29_0_37, yields:
% 19.44/5.13  | (185) all_45_0_44 = all_29_0_37
% 19.44/5.13  |
% 19.44/5.13  | Instantiating formula (5) with all_0_17_17, all_47_0_45, all_0_16_16 and discharging atoms u1_struct_0(all_0_17_17) = all_47_0_45, u1_struct_0(all_0_17_17) = all_0_16_16, yields:
% 19.44/5.13  | (186) all_47_0_45 = all_0_16_16
% 19.44/5.13  |
% 19.44/5.13  | Instantiating formula (5) with all_0_17_17, all_37_0_40, all_53_0_47 and discharging atoms u1_struct_0(all_0_17_17) = all_53_0_47, u1_struct_0(all_0_17_17) = all_37_0_40, yields:
% 19.44/5.13  | (187) all_53_0_47 = all_37_0_40
% 19.44/5.13  |
% 19.44/5.13  | Instantiating formula (5) with all_0_17_17, all_37_0_40, all_47_0_45 and discharging atoms u1_struct_0(all_0_17_17) = all_47_0_45, u1_struct_0(all_0_17_17) = all_37_0_40, yields:
% 19.44/5.13  | (188) all_47_0_45 = all_37_0_40
% 19.44/5.13  |
% 19.44/5.14  | Instantiating formula (5) with all_0_17_17, all_32_0_38, all_53_0_47 and discharging atoms u1_struct_0(all_0_17_17) = all_53_0_47, u1_struct_0(all_0_17_17) = all_32_0_38, yields:
% 19.44/5.14  | (189) all_53_0_47 = all_32_0_38
% 19.44/5.14  |
% 19.44/5.14  | Combining equations (187,189) yields a new equation:
% 19.44/5.14  | (190) all_37_0_40 = all_32_0_38
% 19.44/5.14  |
% 19.44/5.14  | Simplifying 190 yields:
% 19.44/5.14  | (191) all_37_0_40 = all_32_0_38
% 19.44/5.14  |
% 19.44/5.14  | Combining equations (183,184) yields a new equation:
% 19.44/5.14  | (192) all_45_0_44 = all_42_0_43
% 19.44/5.14  |
% 19.44/5.14  | Simplifying 192 yields:
% 19.44/5.14  | (193) all_45_0_44 = all_42_0_43
% 19.44/5.14  |
% 19.44/5.14  | Combining equations (188,186) yields a new equation:
% 19.44/5.14  | (194) all_37_0_40 = all_0_16_16
% 19.44/5.14  |
% 19.44/5.14  | Simplifying 194 yields:
% 19.44/5.14  | (195) all_37_0_40 = all_0_16_16
% 19.44/5.14  |
% 19.44/5.14  | Combining equations (182,193) yields a new equation:
% 19.44/5.14  | (196) all_42_0_43 = all_0_15_15
% 19.44/5.14  |
% 19.44/5.14  | Combining equations (185,193) yields a new equation:
% 19.44/5.14  | (197) all_42_0_43 = all_29_0_37
% 19.44/5.14  |
% 19.44/5.14  | Combining equations (196,197) yields a new equation:
% 19.44/5.14  | (198) all_29_0_37 = all_0_15_15
% 19.44/5.14  |
% 19.44/5.14  | Combining equations (195,191) yields a new equation:
% 19.44/5.14  | (199) all_32_0_38 = all_0_16_16
% 19.44/5.14  |
% 19.44/5.14  | Combining equations (199,191) yields a new equation:
% 19.44/5.14  | (195) all_37_0_40 = all_0_16_16
% 19.44/5.14  |
% 19.44/5.14  | Combining equations (198,197) yields a new equation:
% 19.44/5.14  | (196) all_42_0_43 = all_0_15_15
% 19.44/5.14  |
% 19.44/5.14  | Combining equations (196,184) yields a new equation:
% 19.44/5.14  | (202) all_50_0_46 = all_0_15_15
% 19.44/5.14  |
% 19.44/5.14  | Combining equations (199,189) yields a new equation:
% 19.44/5.14  | (203) all_53_0_47 = all_0_16_16
% 19.44/5.14  |
% 19.44/5.14  | From (199) and (135) follows:
% 19.44/5.14  | (27) u1_struct_0(all_0_17_17) = all_0_16_16
% 19.44/5.14  |
% 19.44/5.14  | From (203)(203) and (181) follows:
% 19.44/5.14  | (205) m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.14  |
% 19.44/5.14  | Instantiating formula (90) with all_0_14_14, all_0_15_15, all_0_16_16, all_0_16_16 and discharging atoms m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16), m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_0_15_15), yields:
% 19.44/5.14  | (206) v1_xboole_0(all_0_16_16) | m1_subset_1(all_0_14_14, all_0_15_15)
% 19.44/5.14  |
% 19.44/5.14  | Instantiating formula (158) with all_0_14_14 yields:
% 19.44/5.14  | (207)  ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) |  ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_42_0_43) | m2_relset_1(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.14  |
% 19.44/5.14  | Instantiating formula (157) with all_0_14_14 yields:
% 19.44/5.14  | (208)  ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) |  ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_42_0_43) | v1_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.14  |
% 19.44/5.14  | Instantiating formula (165) with all_0_14_14 yields:
% 19.44/5.14  | (209)  ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) |  ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_42_0_43) | v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.14  |
% 19.44/5.14  | Instantiating formula (142) with all_0_14_14 yields:
% 19.44/5.14  | (210)  ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) |  ~ m2_fraenkel(all_0_14_14, all_32_0_38, all_32_0_38, all_0_15_15) | v1_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.14  |
% 19.44/5.14  | Instantiating formula (140) with all_0_14_14 yields:
% 19.44/5.14  | (211)  ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) |  ~ m2_fraenkel(all_0_14_14, all_32_0_38, all_32_0_38, all_0_15_15) | v1_funct_2(all_0_14_14, all_32_0_38, all_32_0_38)
% 19.44/5.14  |
% 19.44/5.14  | Instantiating formula (138) with all_0_14_14 yields:
% 19.44/5.14  | (212)  ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) |  ~ m2_fraenkel(all_0_14_14, all_32_0_38, all_32_0_38, all_0_15_15) | v1_funct_1(all_0_14_14)
% 19.44/5.14  |
% 19.44/5.14  | Instantiating formula (26) with all_0_15_15, all_0_16_16, all_0_16_16 and discharging atoms m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16), yields:
% 19.44/5.14  | (213) v1_xboole_0(all_0_16_16) |  ? [v0] : m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_0_15_15)
% 19.44/5.14  |
% 19.44/5.14  | Instantiating formula (45) with all_0_15_15, all_0_16_16, all_0_16_16 and discharging atoms m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16), yields:
% 19.44/5.14  | (214) v1_fraenkel(all_0_15_15)
% 19.44/5.14  |
% 19.44/5.14  | Instantiating formula (118) with all_40_1_42, all_0_16_16, all_40_0_41 and discharging atoms m2_relset_1(all_40_1_42, all_40_0_41, all_0_16_16), yields:
% 19.44/5.14  | (215) m1_relset_1(all_40_1_42, all_40_0_41, all_0_16_16)
% 19.44/5.14  |
% 19.44/5.14  +-Applying beta-rule and splitting (212), into two cases.
% 19.44/5.14  |-Branch one:
% 19.44/5.14  | (216) v1_funct_1(all_0_14_14)
% 19.44/5.14  |
% 19.44/5.14  	+-Applying beta-rule and splitting (207), into two cases.
% 19.44/5.14  	|-Branch one:
% 19.44/5.14  	| (217) m2_relset_1(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.14  	|
% 19.44/5.14  		+-Applying beta-rule and splitting (209), into two cases.
% 19.44/5.14  		|-Branch one:
% 19.44/5.14  		| (218) v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.14  		|
% 19.44/5.14  			+-Applying beta-rule and splitting (208), into two cases.
% 19.44/5.14  			|-Branch one:
% 19.44/5.14  			| (219)  ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.14  			|
% 19.44/5.14  				| From (196) and (219) follows:
% 19.44/5.14  				| (220)  ~ m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.14  				|
% 19.44/5.14  				| Using (205) and (220) yields:
% 19.44/5.14  				| (221) $false
% 19.44/5.14  				|
% 19.44/5.14  				|-The branch is then unsatisfiable
% 19.44/5.14  			|-Branch two:
% 19.44/5.14  			| (222) m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.14  			| (223)  ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_42_0_43) | v1_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.14  			|
% 19.44/5.14  				| From (196) and (222) follows:
% 19.44/5.14  				| (205) m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.14  				|
% 19.44/5.14  				+-Applying beta-rule and splitting (210), into two cases.
% 19.44/5.14  				|-Branch one:
% 19.44/5.14  				| (225)  ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38)
% 19.44/5.14  				|
% 19.44/5.14  					| From (199)(199) and (225) follows:
% 19.44/5.14  					| (220)  ~ m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.14  					|
% 19.44/5.14  					| Using (205) and (220) yields:
% 19.44/5.14  					| (221) $false
% 19.44/5.14  					|
% 19.44/5.14  					|-The branch is then unsatisfiable
% 19.44/5.14  				|-Branch two:
% 19.44/5.14  				| (228) m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38)
% 19.44/5.14  				| (229)  ~ m2_fraenkel(all_0_14_14, all_32_0_38, all_32_0_38, all_0_15_15) | v1_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.14  				|
% 19.44/5.14  					| From (199)(199) and (228) follows:
% 19.44/5.14  					| (205) m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.14  					|
% 19.44/5.14  					+-Applying beta-rule and splitting (229), into two cases.
% 19.44/5.14  					|-Branch one:
% 19.44/5.14  					| (231)  ~ m2_fraenkel(all_0_14_14, all_32_0_38, all_32_0_38, all_0_15_15)
% 19.44/5.14  					|
% 19.44/5.14  						| From (199)(199) and (231) follows:
% 19.44/5.14  						| (232)  ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_0_15_15)
% 19.44/5.14  						|
% 19.44/5.14  						| Using (47) and (232) yields:
% 19.44/5.14  						| (221) $false
% 19.44/5.14  						|
% 19.44/5.14  						|-The branch is then unsatisfiable
% 19.44/5.14  					|-Branch two:
% 19.44/5.14  					| (234) m2_fraenkel(all_0_14_14, all_32_0_38, all_32_0_38, all_0_15_15)
% 19.44/5.14  					| (235) v1_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.14  					|
% 19.44/5.14  						| From (199)(199) and (234) follows:
% 19.44/5.14  						| (47) m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_0_15_15)
% 19.44/5.14  						|
% 19.44/5.14  						| Instantiating formula (118) with all_0_14_14, all_0_16_16, all_0_16_16 and discharging atoms m2_relset_1(all_0_14_14, all_0_16_16, all_0_16_16), yields:
% 19.44/5.14  						| (237) m1_relset_1(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.14  						|
% 19.44/5.14  						| Instantiating formula (41) with all_40_1_42, all_0_16_16, all_40_0_41 and discharging atoms v1_funct_2(all_40_1_42, all_40_0_41, all_0_16_16), m1_relset_1(all_40_1_42, all_40_0_41, all_0_16_16), v1_funct_1(all_40_1_42), yields:
% 19.44/5.14  						| (238) v1_partfun1(all_40_1_42, all_40_0_41, all_0_16_16) | v1_xboole_0(all_0_16_16)
% 19.44/5.14  						|
% 19.44/5.14  						| Instantiating formula (49) with all_0_14_14, all_0_16_16, all_0_16_16 and discharging atoms v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16), m1_relset_1(all_0_14_14, all_0_16_16, all_0_16_16), v1_funct_1(all_0_14_14), yields:
% 19.44/5.14  						| (239) v1_partfun1(all_0_14_14, all_0_16_16, all_0_16_16) | v1_xboole_0(all_0_16_16)
% 19.44/5.14  						|
% 19.44/5.14  						+-Applying beta-rule and splitting (206), into two cases.
% 19.44/5.14  						|-Branch one:
% 19.44/5.14  						| (240) v1_xboole_0(all_0_16_16)
% 19.44/5.14  						|
% 19.44/5.14  							| Instantiating formula (93) with all_0_16_16 and discharging atoms v1_xboole_0(all_0_16_16), yields:
% 19.44/5.14  							| (241) all_0_16_16 = k1_xboole_0
% 19.44/5.14  							|
% 19.44/5.14  							| From (241) and (27) follows:
% 19.44/5.14  							| (242) u1_struct_0(all_0_17_17) = k1_xboole_0
% 19.44/5.14  							|
% 19.44/5.14  							| From (241) and (240) follows:
% 19.44/5.14  							| (107) v1_xboole_0(k1_xboole_0)
% 19.44/5.14  							|
% 19.44/5.14  							| Instantiating formula (98) with k1_xboole_0, all_0_17_17 and discharging atoms u1_struct_0(all_0_17_17) = k1_xboole_0, l1_struct_0(all_0_17_17), v1_xboole_0(k1_xboole_0),  ~ v3_struct_0(all_0_17_17), yields:
% 19.44/5.14  							| (221) $false
% 19.44/5.14  							|
% 19.44/5.14  							|-The branch is then unsatisfiable
% 19.44/5.14  						|-Branch two:
% 19.44/5.14  						| (245)  ~ v1_xboole_0(all_0_16_16)
% 19.44/5.14  						| (246) m1_subset_1(all_0_14_14, all_0_15_15)
% 19.44/5.14  						|
% 19.44/5.14  							+-Applying beta-rule and splitting (239), into two cases.
% 19.44/5.14  							|-Branch one:
% 19.44/5.14  							| (240) v1_xboole_0(all_0_16_16)
% 19.44/5.14  							|
% 19.44/5.14  								| Using (240) and (245) yields:
% 19.44/5.14  								| (221) $false
% 19.44/5.14  								|
% 19.44/5.14  								|-The branch is then unsatisfiable
% 19.44/5.14  							|-Branch two:
% 19.44/5.14  							| (245)  ~ v1_xboole_0(all_0_16_16)
% 19.44/5.14  							| (250) v1_partfun1(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.14  							|
% 19.44/5.14  								+-Applying beta-rule and splitting (238), into two cases.
% 19.44/5.14  								|-Branch one:
% 19.44/5.14  								| (240) v1_xboole_0(all_0_16_16)
% 19.44/5.14  								|
% 19.44/5.14  									| Using (240) and (245) yields:
% 19.44/5.14  									| (221) $false
% 19.44/5.14  									|
% 19.44/5.14  									|-The branch is then unsatisfiable
% 19.44/5.14  								|-Branch two:
% 19.44/5.15  								| (245)  ~ v1_xboole_0(all_0_16_16)
% 19.44/5.15  								| (254) v1_partfun1(all_40_1_42, all_40_0_41, all_0_16_16)
% 19.44/5.15  								|
% 19.44/5.15  									+-Applying beta-rule and splitting (213), into two cases.
% 19.44/5.15  									|-Branch one:
% 19.44/5.15  									| (240) v1_xboole_0(all_0_16_16)
% 19.44/5.15  									|
% 19.44/5.15  										| Using (240) and (245) yields:
% 19.44/5.15  										| (221) $false
% 19.44/5.15  										|
% 19.44/5.15  										|-The branch is then unsatisfiable
% 19.44/5.15  									|-Branch two:
% 19.44/5.15  									| (245)  ~ v1_xboole_0(all_0_16_16)
% 19.44/5.15  									| (258)  ? [v0] : m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_0_15_15)
% 19.44/5.15  									|
% 19.44/5.15  										| Instantiating (258) with all_161_0_52 yields:
% 19.44/5.15  										| (259) m2_fraenkel(all_161_0_52, all_0_16_16, all_0_16_16, all_0_15_15)
% 19.44/5.15  										|
% 19.44/5.15  										| Instantiating formula (50) with all_0_14_14, all_0_15_15 and discharging atoms m1_subset_1(all_0_14_14, all_0_15_15), v1_fraenkel(all_0_15_15), yields:
% 19.44/5.15  										| (260) v1_relat_1(all_0_14_14)
% 19.44/5.15  										|
% 19.44/5.15  										| Instantiating formula (83) with all_0_15_15, all_0_14_14 and discharging atoms m1_subset_1(all_0_14_14, all_0_15_15), yields:
% 19.44/5.15  										| (261) v1_xboole_0(all_0_15_15) | r2_hidden(all_0_14_14, all_0_15_15)
% 19.44/5.15  										|
% 19.44/5.15  										| Instantiating formula (53) with all_161_0_52, all_0_15_15, all_0_16_16, all_0_16_16 and discharging atoms m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16), m2_fraenkel(all_161_0_52, all_0_16_16, all_0_16_16, all_0_15_15),  ~ v1_xboole_0(all_0_16_16), yields:
% 19.44/5.15  										| (262) m2_relset_1(all_161_0_52, all_0_16_16, all_0_16_16)
% 19.44/5.15  										|
% 19.44/5.15  										| Instantiating formula (32) with all_161_0_52, all_0_15_15, all_0_16_16, all_0_16_16 and discharging atoms m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16), m2_fraenkel(all_161_0_52, all_0_16_16, all_0_16_16, all_0_15_15),  ~ v1_xboole_0(all_0_16_16), yields:
% 19.44/5.15  										| (263) v1_funct_2(all_161_0_52, all_0_16_16, all_0_16_16)
% 19.44/5.15  										|
% 19.44/5.15  										| Instantiating formula (106) with all_161_0_52, all_0_15_15, all_0_16_16, all_0_16_16 and discharging atoms m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16), m2_fraenkel(all_161_0_52, all_0_16_16, all_0_16_16, all_0_15_15),  ~ v1_xboole_0(all_0_16_16), yields:
% 19.44/5.15  										| (264) v1_funct_1(all_161_0_52)
% 19.44/5.15  										|
% 19.44/5.15  										| Instantiating formula (90) with all_161_0_52, all_0_15_15, all_0_16_16, all_0_16_16 and discharging atoms m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16), m2_fraenkel(all_161_0_52, all_0_16_16, all_0_16_16, all_0_15_15),  ~ v1_xboole_0(all_0_16_16), yields:
% 19.44/5.15  										| (265) m1_subset_1(all_161_0_52, all_0_15_15)
% 19.44/5.15  										|
% 19.44/5.15  										| Instantiating formula (142) with all_161_0_52 yields:
% 19.44/5.15  										| (266)  ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) |  ~ m2_fraenkel(all_161_0_52, all_32_0_38, all_32_0_38, all_0_15_15) | v1_group_6(all_161_0_52, all_0_17_17, all_0_17_17)
% 19.44/5.15  										|
% 19.44/5.15  										| Instantiating formula (157) with all_161_0_52 yields:
% 19.44/5.15  										| (267)  ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) |  ~ m2_fraenkel(all_161_0_52, all_0_16_16, all_0_16_16, all_42_0_43) | v1_group_6(all_161_0_52, all_0_17_17, all_0_17_17)
% 19.44/5.15  										|
% 19.44/5.15  										+-Applying beta-rule and splitting (267), into two cases.
% 19.44/5.15  										|-Branch one:
% 19.44/5.15  										| (219)  ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.15  										|
% 19.44/5.15  											| From (196) and (219) follows:
% 19.44/5.15  											| (220)  ~ m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.15  											|
% 19.44/5.15  											| Using (205) and (220) yields:
% 19.44/5.15  											| (221) $false
% 19.44/5.15  											|
% 19.44/5.15  											|-The branch is then unsatisfiable
% 19.44/5.15  										|-Branch two:
% 19.44/5.15  										| (222) m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.15  										| (272)  ~ m2_fraenkel(all_161_0_52, all_0_16_16, all_0_16_16, all_42_0_43) | v1_group_6(all_161_0_52, all_0_17_17, all_0_17_17)
% 19.44/5.15  										|
% 19.44/5.15  											| From (196) and (222) follows:
% 19.44/5.15  											| (205) m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.15  											|
% 19.44/5.15  											+-Applying beta-rule and splitting (266), into two cases.
% 19.44/5.15  											|-Branch one:
% 19.44/5.15  											| (225)  ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38)
% 19.44/5.15  											|
% 19.44/5.15  												| From (199)(199) and (225) follows:
% 19.44/5.15  												| (220)  ~ m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.15  												|
% 19.44/5.15  												| Using (205) and (220) yields:
% 19.44/5.15  												| (221) $false
% 19.44/5.15  												|
% 19.44/5.15  												|-The branch is then unsatisfiable
% 19.44/5.15  											|-Branch two:
% 19.44/5.15  											| (228) m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38)
% 19.44/5.15  											| (278)  ~ m2_fraenkel(all_161_0_52, all_32_0_38, all_32_0_38, all_0_15_15) | v1_group_6(all_161_0_52, all_0_17_17, all_0_17_17)
% 19.44/5.15  											|
% 19.44/5.15  												| From (199)(199) and (228) follows:
% 19.44/5.15  												| (205) m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.15  												|
% 19.44/5.15  												+-Applying beta-rule and splitting (272), into two cases.
% 19.44/5.15  												|-Branch one:
% 19.44/5.15  												| (280)  ~ m2_fraenkel(all_161_0_52, all_0_16_16, all_0_16_16, all_42_0_43)
% 19.44/5.15  												|
% 19.44/5.15  													| From (196) and (280) follows:
% 19.44/5.15  													| (281)  ~ m2_fraenkel(all_161_0_52, all_0_16_16, all_0_16_16, all_0_15_15)
% 19.44/5.15  													|
% 19.44/5.15  													| Using (259) and (281) yields:
% 19.44/5.15  													| (221) $false
% 19.44/5.15  													|
% 19.44/5.15  													|-The branch is then unsatisfiable
% 19.44/5.15  												|-Branch two:
% 19.44/5.15  												| (283) m2_fraenkel(all_161_0_52, all_0_16_16, all_0_16_16, all_42_0_43)
% 19.44/5.15  												| (284) v1_group_6(all_161_0_52, all_0_17_17, all_0_17_17)
% 19.44/5.15  												|
% 19.44/5.15  													| Instantiating formula (57) with all_0_13_13, all_0_14_14 and discharging atoms k2_funct_1(all_0_14_14) = all_0_13_13, v1_funct_1(all_0_14_14), v1_relat_1(all_0_14_14), yields:
% 19.44/5.15  													| (285) v1_funct_1(all_0_13_13)
% 19.44/5.15  													|
% 19.44/5.15  													| Instantiating formula (83) with all_0_15_15, all_161_0_52 and discharging atoms m1_subset_1(all_161_0_52, all_0_15_15), yields:
% 19.44/5.15  													| (286) v1_xboole_0(all_0_15_15) | r2_hidden(all_161_0_52, all_0_15_15)
% 19.44/5.15  													|
% 19.44/5.15  													+-Applying beta-rule and splitting (261), into two cases.
% 19.44/5.15  													|-Branch one:
% 19.44/5.15  													| (287) v1_xboole_0(all_0_15_15)
% 19.44/5.15  													|
% 19.44/5.15  														| Instantiating formula (8) with all_0_15_15, all_0_16_16, all_0_16_16 and discharging atoms m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16), v1_xboole_0(all_0_15_15), yields:
% 19.44/5.15  														| (221) $false
% 19.44/5.15  														|
% 19.44/5.15  														|-The branch is then unsatisfiable
% 19.44/5.15  													|-Branch two:
% 19.44/5.15  													| (289)  ~ v1_xboole_0(all_0_15_15)
% 19.44/5.15  													| (290) r2_hidden(all_0_14_14, all_0_15_15)
% 19.44/5.15  													|
% 19.44/5.15  														+-Applying beta-rule and splitting (286), into two cases.
% 19.44/5.15  														|-Branch one:
% 19.44/5.15  														| (287) v1_xboole_0(all_0_15_15)
% 19.44/5.15  														|
% 19.44/5.15  															| Using (287) and (289) yields:
% 19.44/5.15  															| (221) $false
% 19.44/5.15  															|
% 19.44/5.15  															|-The branch is then unsatisfiable
% 19.44/5.15  														|-Branch two:
% 19.44/5.15  														| (289)  ~ v1_xboole_0(all_0_15_15)
% 19.44/5.15  														| (294) r2_hidden(all_161_0_52, all_0_15_15)
% 19.44/5.15  														|
% 19.44/5.15  															| Instantiating formula (137) with all_161_0_52 and discharging atoms v1_group_6(all_161_0_52, all_0_17_17, all_0_17_17), v1_funct_1(all_161_0_52), r2_hidden(all_161_0_52, all_0_15_15), yields:
% 19.44/5.15  															| (295)  ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) |  ~ m2_relset_1(all_161_0_52, all_32_0_38, all_32_0_38) |  ~ v1_funct_2(all_161_0_52, all_32_0_38, all_32_0_38) | v2_funct_1(all_161_0_52)
% 19.44/5.15  															|
% 19.44/5.15  															| Instantiating formula (172) with all_161_0_52 and discharging atoms v1_group_6(all_161_0_52, all_0_17_17, all_0_17_17), v1_funct_1(all_161_0_52), r2_hidden(all_161_0_52, all_0_15_15), yields:
% 19.44/5.15  															| (296)  ~ m2_relset_1(all_161_0_52, all_47_0_45, all_47_0_45) |  ~ v1_funct_2(all_161_0_52, all_47_0_45, all_47_0_45) | v4_group_6(all_161_0_52, all_0_17_17, all_0_17_17)
% 19.44/5.15  															|
% 19.44/5.15  															| Instantiating formula (160) with all_161_0_52 and discharging atoms m2_relset_1(all_161_0_52, all_0_16_16, all_0_16_16), v1_group_6(all_161_0_52, all_0_17_17, all_0_17_17), v1_funct_2(all_161_0_52, all_0_16_16, all_0_16_16), v1_funct_1(all_161_0_52), yields:
% 19.44/5.15  															| (297)  ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) |  ~ r2_hidden(all_161_0_52, all_42_0_43) | v3_group_6(all_161_0_52, all_0_17_17, all_0_17_17)
% 19.44/5.15  															|
% 19.44/5.15  															| Instantiating formula (159) with all_161_0_52 and discharging atoms m2_relset_1(all_161_0_52, all_0_16_16, all_0_16_16), v1_group_6(all_161_0_52, all_0_17_17, all_0_17_17), v1_funct_2(all_161_0_52, all_0_16_16, all_0_16_16), v1_funct_1(all_161_0_52), yields:
% 19.44/5.15  															| (298)  ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) |  ~ r2_hidden(all_161_0_52, all_42_0_43) | v2_funct_1(all_161_0_52)
% 19.44/5.15  															|
% 19.44/5.15  															| Instantiating formula (141) with all_0_14_14 and discharging atoms v1_group_6(all_0_14_14, all_0_17_17, all_0_17_17), v1_funct_1(all_0_14_14), r2_hidden(all_0_14_14, all_0_15_15), yields:
% 19.44/5.15  															| (299)  ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) |  ~ m2_relset_1(all_0_14_14, all_32_0_38, all_32_0_38) |  ~ v1_funct_2(all_0_14_14, all_32_0_38, all_32_0_38) | v3_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.15  															|
% 19.44/5.15  															| Instantiating formula (137) with all_0_14_14 and discharging atoms v1_group_6(all_0_14_14, all_0_17_17, all_0_17_17), v1_funct_1(all_0_14_14), r2_hidden(all_0_14_14, all_0_15_15), yields:
% 19.44/5.15  															| (300)  ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) |  ~ m2_relset_1(all_0_14_14, all_32_0_38, all_32_0_38) |  ~ v1_funct_2(all_0_14_14, all_32_0_38, all_32_0_38) | v2_funct_1(all_0_14_14)
% 19.44/5.15  															|
% 19.44/5.15  															| Instantiating formula (172) with all_0_14_14 and discharging atoms v1_group_6(all_0_14_14, all_0_17_17, all_0_17_17), v1_funct_1(all_0_14_14), r2_hidden(all_0_14_14, all_0_15_15), yields:
% 19.44/5.15  															| (301)  ~ m2_relset_1(all_0_14_14, all_47_0_45, all_47_0_45) |  ~ v1_funct_2(all_0_14_14, all_47_0_45, all_47_0_45) | v4_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.15  															|
% 19.44/5.15  															| Instantiating formula (160) with all_0_14_14 and discharging atoms m2_relset_1(all_0_14_14, all_0_16_16, all_0_16_16), v1_group_6(all_0_14_14, all_0_17_17, all_0_17_17), v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16), v1_funct_1(all_0_14_14), yields:
% 19.44/5.15  															| (302)  ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) |  ~ r2_hidden(all_0_14_14, all_42_0_43) | v3_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.15  															|
% 19.44/5.15  															| Instantiating formula (159) with all_0_14_14 and discharging atoms m2_relset_1(all_0_14_14, all_0_16_16, all_0_16_16), v1_group_6(all_0_14_14, all_0_17_17, all_0_17_17), v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16), v1_funct_1(all_0_14_14), yields:
% 19.44/5.15  															| (303)  ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) |  ~ r2_hidden(all_0_14_14, all_42_0_43) | v2_funct_1(all_0_14_14)
% 19.44/5.15  															|
% 19.44/5.15  															| Instantiating formula (133) with all_0_14_14 and discharging atoms m2_relset_1(all_0_14_14, all_0_16_16, all_0_16_16), v1_group_6(all_0_14_14, all_0_17_17, all_0_17_17), v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16), v1_funct_1(all_0_14_14), yields:
% 19.44/5.15  															| (304)  ~ r2_hidden(all_0_14_14, all_29_0_37) | v4_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.15  															|
% 19.44/5.15  															+-Applying beta-rule and splitting (301), into two cases.
% 19.44/5.15  															|-Branch one:
% 19.44/5.15  															| (305)  ~ v1_funct_2(all_0_14_14, all_47_0_45, all_47_0_45)
% 19.44/5.15  															|
% 19.44/5.15  																| From (186)(186) and (305) follows:
% 19.44/5.15  																| (306)  ~ v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.15  																|
% 19.44/5.15  																| Using (218) and (306) yields:
% 19.44/5.15  																| (221) $false
% 19.44/5.15  																|
% 19.44/5.15  																|-The branch is then unsatisfiable
% 19.44/5.15  															|-Branch two:
% 19.44/5.15  															| (308) v1_funct_2(all_0_14_14, all_47_0_45, all_47_0_45)
% 19.44/5.15  															| (309)  ~ m2_relset_1(all_0_14_14, all_47_0_45, all_47_0_45) | v4_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.15  															|
% 19.44/5.15  																| From (186)(186) and (308) follows:
% 19.44/5.15  																| (218) v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.15  																|
% 19.44/5.15  																+-Applying beta-rule and splitting (296), into two cases.
% 19.44/5.15  																|-Branch one:
% 19.44/5.15  																| (311)  ~ v1_funct_2(all_161_0_52, all_47_0_45, all_47_0_45)
% 19.44/5.15  																|
% 19.44/5.15  																	| From (186)(186) and (311) follows:
% 19.44/5.15  																	| (312)  ~ v1_funct_2(all_161_0_52, all_0_16_16, all_0_16_16)
% 19.44/5.15  																	|
% 19.44/5.15  																	| Using (263) and (312) yields:
% 19.44/5.15  																	| (221) $false
% 19.44/5.15  																	|
% 19.44/5.15  																	|-The branch is then unsatisfiable
% 19.44/5.15  																|-Branch two:
% 19.44/5.15  																| (314) v1_funct_2(all_161_0_52, all_47_0_45, all_47_0_45)
% 19.44/5.15  																| (315)  ~ m2_relset_1(all_161_0_52, all_47_0_45, all_47_0_45) | v4_group_6(all_161_0_52, all_0_17_17, all_0_17_17)
% 19.44/5.15  																|
% 19.44/5.15  																	| From (186)(186) and (314) follows:
% 19.44/5.15  																	| (263) v1_funct_2(all_161_0_52, all_0_16_16, all_0_16_16)
% 19.44/5.15  																	|
% 19.44/5.15  																	+-Applying beta-rule and splitting (300), into two cases.
% 19.44/5.15  																	|-Branch one:
% 19.44/5.15  																	| (317)  ~ v1_funct_2(all_0_14_14, all_32_0_38, all_32_0_38)
% 19.44/5.16  																	|
% 19.44/5.16  																		| From (199)(199) and (317) follows:
% 19.44/5.16  																		| (306)  ~ v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.16  																		|
% 19.44/5.16  																		| Using (218) and (306) yields:
% 19.44/5.16  																		| (221) $false
% 19.44/5.16  																		|
% 19.44/5.16  																		|-The branch is then unsatisfiable
% 19.44/5.16  																	|-Branch two:
% 19.44/5.16  																	| (320) v1_funct_2(all_0_14_14, all_32_0_38, all_32_0_38)
% 19.44/5.16  																	| (321)  ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) |  ~ m2_relset_1(all_0_14_14, all_32_0_38, all_32_0_38) | v2_funct_1(all_0_14_14)
% 19.44/5.16  																	|
% 19.44/5.16  																		| From (199)(199) and (320) follows:
% 19.44/5.16  																		| (218) v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.16  																		|
% 19.44/5.16  																		+-Applying beta-rule and splitting (299), into two cases.
% 19.44/5.16  																		|-Branch one:
% 19.44/5.16  																		| (317)  ~ v1_funct_2(all_0_14_14, all_32_0_38, all_32_0_38)
% 19.44/5.16  																		|
% 19.44/5.16  																			| From (199)(199) and (317) follows:
% 19.44/5.16  																			| (306)  ~ v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.16  																			|
% 19.44/5.16  																			| Using (218) and (306) yields:
% 19.44/5.16  																			| (221) $false
% 19.44/5.16  																			|
% 19.44/5.16  																			|-The branch is then unsatisfiable
% 19.44/5.16  																		|-Branch two:
% 19.44/5.16  																		| (320) v1_funct_2(all_0_14_14, all_32_0_38, all_32_0_38)
% 19.44/5.16  																		| (327)  ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) |  ~ m2_relset_1(all_0_14_14, all_32_0_38, all_32_0_38) | v3_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.16  																		|
% 19.44/5.16  																			| From (199)(199) and (320) follows:
% 19.44/5.16  																			| (218) v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.16  																			|
% 19.44/5.16  																			+-Applying beta-rule and splitting (304), into two cases.
% 19.44/5.16  																			|-Branch one:
% 19.44/5.16  																			| (329)  ~ r2_hidden(all_0_14_14, all_29_0_37)
% 19.44/5.16  																			|
% 19.44/5.16  																				| From (198) and (329) follows:
% 19.44/5.16  																				| (330)  ~ r2_hidden(all_0_14_14, all_0_15_15)
% 19.44/5.16  																				|
% 19.44/5.16  																				| Using (290) and (330) yields:
% 19.44/5.16  																				| (221) $false
% 19.44/5.16  																				|
% 19.44/5.16  																				|-The branch is then unsatisfiable
% 19.44/5.16  																			|-Branch two:
% 19.44/5.16  																			| (332) r2_hidden(all_0_14_14, all_29_0_37)
% 19.44/5.16  																			| (333) v4_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.16  																			|
% 19.44/5.16  																				+-Applying beta-rule and splitting (297), into two cases.
% 19.44/5.16  																				|-Branch one:
% 19.44/5.16  																				| (219)  ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.16  																				|
% 19.44/5.16  																					| From (196) and (219) follows:
% 19.44/5.16  																					| (220)  ~ m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.16  																					|
% 19.44/5.16  																					| Using (205) and (220) yields:
% 19.44/5.16  																					| (221) $false
% 19.44/5.16  																					|
% 19.44/5.16  																					|-The branch is then unsatisfiable
% 19.44/5.16  																				|-Branch two:
% 19.44/5.16  																				| (222) m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.16  																				| (338)  ~ r2_hidden(all_161_0_52, all_42_0_43) | v3_group_6(all_161_0_52, all_0_17_17, all_0_17_17)
% 19.44/5.16  																				|
% 19.44/5.16  																					| From (196) and (222) follows:
% 19.44/5.16  																					| (205) m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.16  																					|
% 19.44/5.16  																					+-Applying beta-rule and splitting (295), into two cases.
% 19.44/5.16  																					|-Branch one:
% 19.44/5.16  																					| (340)  ~ v1_funct_2(all_161_0_52, all_32_0_38, all_32_0_38)
% 19.44/5.16  																					|
% 19.44/5.16  																						| From (199)(199) and (340) follows:
% 19.44/5.16  																						| (312)  ~ v1_funct_2(all_161_0_52, all_0_16_16, all_0_16_16)
% 19.44/5.16  																						|
% 19.44/5.16  																						| Using (263) and (312) yields:
% 19.44/5.16  																						| (221) $false
% 19.44/5.16  																						|
% 19.44/5.16  																						|-The branch is then unsatisfiable
% 19.44/5.16  																					|-Branch two:
% 19.44/5.16  																					| (343) v1_funct_2(all_161_0_52, all_32_0_38, all_32_0_38)
% 19.44/5.16  																					| (344)  ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) |  ~ m2_relset_1(all_161_0_52, all_32_0_38, all_32_0_38) | v2_funct_1(all_161_0_52)
% 19.44/5.16  																					|
% 19.44/5.16  																						+-Applying beta-rule and splitting (298), into two cases.
% 19.44/5.16  																						|-Branch one:
% 19.44/5.16  																						| (219)  ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.16  																						|
% 19.44/5.16  																							| From (196) and (219) follows:
% 19.44/5.16  																							| (220)  ~ m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.16  																							|
% 19.44/5.16  																							| Using (205) and (220) yields:
% 19.44/5.16  																							| (221) $false
% 19.44/5.16  																							|
% 19.44/5.16  																							|-The branch is then unsatisfiable
% 19.44/5.16  																						|-Branch two:
% 19.44/5.16  																						| (222) m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.16  																						| (349)  ~ r2_hidden(all_161_0_52, all_42_0_43) | v2_funct_1(all_161_0_52)
% 19.44/5.16  																						|
% 19.44/5.16  																							| From (196) and (222) follows:
% 19.44/5.16  																							| (205) m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.16  																							|
% 19.44/5.16  																							+-Applying beta-rule and splitting (327), into two cases.
% 19.44/5.16  																							|-Branch one:
% 19.44/5.16  																							| (351)  ~ m2_relset_1(all_0_14_14, all_32_0_38, all_32_0_38)
% 19.44/5.16  																							|
% 19.44/5.16  																								| From (199)(199) and (351) follows:
% 19.44/5.16  																								| (352)  ~ m2_relset_1(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.16  																								|
% 19.44/5.16  																								| Using (217) and (352) yields:
% 19.44/5.16  																								| (221) $false
% 19.44/5.16  																								|
% 19.44/5.16  																								|-The branch is then unsatisfiable
% 19.44/5.16  																							|-Branch two:
% 19.44/5.16  																							| (354) m2_relset_1(all_0_14_14, all_32_0_38, all_32_0_38)
% 19.44/5.16  																							| (355)  ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | v3_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.16  																							|
% 19.44/5.16  																								| From (199)(199) and (354) follows:
% 19.44/5.16  																								| (217) m2_relset_1(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.16  																								|
% 19.44/5.16  																								+-Applying beta-rule and splitting (302), into two cases.
% 19.44/5.16  																								|-Branch one:
% 19.44/5.16  																								| (219)  ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.16  																								|
% 19.44/5.16  																									| From (196) and (219) follows:
% 19.44/5.16  																									| (220)  ~ m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.16  																									|
% 19.44/5.16  																									| Using (205) and (220) yields:
% 19.44/5.16  																									| (221) $false
% 19.44/5.16  																									|
% 19.44/5.16  																									|-The branch is then unsatisfiable
% 19.44/5.16  																								|-Branch two:
% 19.44/5.16  																								| (222) m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.16  																								| (361)  ~ r2_hidden(all_0_14_14, all_42_0_43) | v3_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.16  																								|
% 19.44/5.16  																									| From (196) and (222) follows:
% 19.44/5.16  																									| (205) m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.16  																									|
% 19.44/5.16  																									+-Applying beta-rule and splitting (303), into two cases.
% 19.44/5.16  																									|-Branch one:
% 19.44/5.16  																									| (219)  ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.16  																									|
% 19.44/5.16  																										| From (196) and (219) follows:
% 19.44/5.16  																										| (220)  ~ m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.16  																										|
% 19.44/5.16  																										| Using (205) and (220) yields:
% 19.44/5.16  																										| (221) $false
% 19.44/5.16  																										|
% 19.44/5.16  																										|-The branch is then unsatisfiable
% 19.44/5.16  																									|-Branch two:
% 19.44/5.16  																									| (222) m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.16  																									| (367)  ~ r2_hidden(all_0_14_14, all_42_0_43) | v2_funct_1(all_0_14_14)
% 19.44/5.16  																									|
% 19.44/5.16  																										| From (196) and (222) follows:
% 19.44/5.16  																										| (205) m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.16  																										|
% 19.44/5.16  																										+-Applying beta-rule and splitting (344), into two cases.
% 19.44/5.16  																										|-Branch one:
% 19.44/5.16  																										| (369)  ~ m2_relset_1(all_161_0_52, all_32_0_38, all_32_0_38)
% 19.44/5.16  																										|
% 19.44/5.16  																											| From (199)(199) and (369) follows:
% 19.44/5.16  																											| (370)  ~ m2_relset_1(all_161_0_52, all_0_16_16, all_0_16_16)
% 19.44/5.16  																											|
% 19.44/5.16  																											| Using (262) and (370) yields:
% 19.44/5.16  																											| (221) $false
% 19.44/5.16  																											|
% 19.44/5.16  																											|-The branch is then unsatisfiable
% 19.44/5.16  																										|-Branch two:
% 19.44/5.16  																										| (372) m2_relset_1(all_161_0_52, all_32_0_38, all_32_0_38)
% 19.44/5.16  																										| (373)  ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | v2_funct_1(all_161_0_52)
% 19.44/5.16  																										|
% 19.44/5.16  																											+-Applying beta-rule and splitting (373), into two cases.
% 19.44/5.16  																											|-Branch one:
% 19.44/5.16  																											| (225)  ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38)
% 19.44/5.16  																											|
% 19.44/5.16  																												| From (199)(199) and (225) follows:
% 19.44/5.16  																												| (220)  ~ m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.16  																												|
% 19.44/5.16  																												| Using (205) and (220) yields:
% 19.44/5.16  																												| (221) $false
% 19.44/5.16  																												|
% 19.44/5.16  																												|-The branch is then unsatisfiable
% 19.44/5.16  																											|-Branch two:
% 19.44/5.16  																											| (228) m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38)
% 19.44/5.16  																											| (378) v2_funct_1(all_161_0_52)
% 19.44/5.16  																											|
% 19.44/5.16  																												| From (199)(199) and (228) follows:
% 19.44/5.16  																												| (205) m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.16  																												|
% 19.44/5.16  																												+-Applying beta-rule and splitting (321), into two cases.
% 19.44/5.16  																												|-Branch one:
% 19.44/5.16  																												| (351)  ~ m2_relset_1(all_0_14_14, all_32_0_38, all_32_0_38)
% 19.44/5.16  																												|
% 19.44/5.16  																													| From (199)(199) and (351) follows:
% 19.44/5.16  																													| (352)  ~ m2_relset_1(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.16  																													|
% 19.44/5.16  																													| Using (217) and (352) yields:
% 19.44/5.16  																													| (221) $false
% 19.44/5.16  																													|
% 19.44/5.16  																													|-The branch is then unsatisfiable
% 19.44/5.16  																												|-Branch two:
% 19.44/5.16  																												| (354) m2_relset_1(all_0_14_14, all_32_0_38, all_32_0_38)
% 19.44/5.16  																												| (384)  ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | v2_funct_1(all_0_14_14)
% 19.44/5.16  																												|
% 19.44/5.16  																													| From (199)(199) and (354) follows:
% 19.44/5.16  																													| (217) m2_relset_1(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.16  																													|
% 19.44/5.16  																													| Instantiating formula (146) with all_0_13_13, all_0_14_14 and discharging atoms k2_funct_1(all_0_14_14) = all_0_13_13, yields:
% 19.44/5.16  																													| (386)  ~ m2_fraenkel(all_0_14_14, all_37_0_40, all_37_0_40, all_0_15_15) | m2_relset_1(all_0_13_13, all_37_0_40, all_37_0_40)
% 19.44/5.16  																													|
% 19.44/5.16  																													| Instantiating formula (175) with all_0_13_13, all_0_14_14 and discharging atoms k2_funct_1(all_0_14_14) = all_0_13_13, yields:
% 19.44/5.16  																													| (387)  ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_50_0_46) | v1_group_6(all_0_13_13, all_0_17_17, all_0_17_17)
% 19.44/5.16  																													|
% 19.44/5.16  																													| Instantiating formula (177) with all_0_13_13, all_0_14_14 and discharging atoms k2_funct_1(all_0_14_14) = all_0_13_13, yields:
% 19.44/5.16  																													| (388)  ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_50_0_46) | v1_funct_2(all_0_13_13, all_0_16_16, all_0_16_16)
% 19.44/5.16  																													|
% 19.44/5.16  																													+-Applying beta-rule and splitting (388), into two cases.
% 19.44/5.16  																													|-Branch one:
% 19.44/5.16  																													| (389) v1_funct_2(all_0_13_13, all_0_16_16, all_0_16_16)
% 19.44/5.16  																													|
% 19.44/5.16  																														+-Applying beta-rule and splitting (386), into two cases.
% 19.44/5.16  																														|-Branch one:
% 19.44/5.16  																														| (390) m2_relset_1(all_0_13_13, all_37_0_40, all_37_0_40)
% 19.44/5.16  																														|
% 19.44/5.16  																															| From (195)(195) and (390) follows:
% 19.44/5.16  																															| (391) m2_relset_1(all_0_13_13, all_0_16_16, all_0_16_16)
% 19.44/5.16  																															|
% 19.44/5.16  																															+-Applying beta-rule and splitting (387), into two cases.
% 19.44/5.16  																															|-Branch one:
% 19.44/5.16  																															| (392)  ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_50_0_46)
% 19.44/5.16  																															|
% 19.44/5.16  																																| From (202) and (392) follows:
% 19.44/5.16  																																| (232)  ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_0_15_15)
% 19.44/5.16  																																|
% 19.44/5.16  																																| Using (47) and (232) yields:
% 19.44/5.16  																																| (221) $false
% 19.44/5.16  																																|
% 19.44/5.16  																																|-The branch is then unsatisfiable
% 19.44/5.16  																															|-Branch two:
% 19.44/5.16  																															| (395) m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_50_0_46)
% 19.44/5.16  																															| (396) v1_group_6(all_0_13_13, all_0_17_17, all_0_17_17)
% 19.44/5.16  																															|
% 19.44/5.16  																																| Instantiating formula (56) with all_0_13_13, all_0_14_14, all_0_16_16, all_0_17_17, all_0_16_16, all_0_17_17 and discharging atoms k2_funct_1(all_0_14_14) = all_0_13_13, u1_struct_0(all_0_17_17) = all_0_16_16, v4_group_6(all_0_14_14, all_0_17_17, all_0_17_17), m2_relset_1(all_0_13_13, all_0_16_16, all_0_16_16), m2_relset_1(all_0_14_14, all_0_16_16, all_0_16_16), v1_group_6(all_0_13_13, all_0_17_17, all_0_17_17), v1_group_6(all_0_14_14, all_0_17_17, all_0_17_17), v1_funct_2(all_0_13_13, all_0_16_16, all_0_16_16), v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16), v1_funct_1(all_0_13_13), v1_funct_1(all_0_14_14), l1_group_1(all_0_17_17), v4_group_1(all_0_17_17), v3_group_1(all_0_17_17),  ~ v3_struct_0(all_0_17_17), yields:
% 19.44/5.16  																																| (397) v4_group_6(all_0_13_13, all_0_17_17, all_0_17_17)
% 19.44/5.16  																																|
% 19.44/5.16  																																| Instantiating formula (132) with all_0_13_13 and discharging atoms v4_group_6(all_0_13_13, all_0_17_17, all_0_17_17), m2_relset_1(all_0_13_13, all_0_16_16, all_0_16_16), v1_group_6(all_0_13_13, all_0_17_17, all_0_17_17), v1_funct_2(all_0_13_13, all_0_16_16, all_0_16_16), v1_funct_1(all_0_13_13), yields:
% 19.44/5.16  																																| (398) r2_hidden(all_0_13_13, all_29_0_37)
% 19.44/5.17  																																|
% 19.44/5.17  																																| From (198) and (398) follows:
% 19.44/5.17  																																| (399) r2_hidden(all_0_13_13, all_0_15_15)
% 19.44/5.17  																																|
% 19.44/5.17  																																| Instantiating formula (48) with all_0_15_15, all_0_13_13 and discharging atoms r2_hidden(all_0_13_13, all_0_15_15), yields:
% 19.44/5.17  																																| (400) m1_subset_1(all_0_13_13, all_0_15_15)
% 19.44/5.17  																																|
% 19.44/5.17  																																| Instantiating formula (91) with all_0_13_13, all_0_15_15, all_0_16_16, all_0_16_16 and discharging atoms m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16), m1_subset_1(all_0_13_13, all_0_15_15),  ~ v1_xboole_0(all_0_16_16),  ~ m2_fraenkel(all_0_13_13, all_0_16_16, all_0_16_16, all_0_15_15), yields:
% 19.44/5.17  																																| (221) $false
% 19.44/5.17  																																|
% 19.44/5.17  																																|-The branch is then unsatisfiable
% 19.44/5.17  																														|-Branch two:
% 19.44/5.17  																														| (402)  ~ m2_relset_1(all_0_13_13, all_37_0_40, all_37_0_40)
% 19.44/5.17  																														| (403)  ~ m2_fraenkel(all_0_14_14, all_37_0_40, all_37_0_40, all_0_15_15)
% 19.44/5.17  																														|
% 19.44/5.17  																															| From (195)(195) and (403) follows:
% 19.44/5.17  																															| (232)  ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_0_15_15)
% 19.44/5.17  																															|
% 19.44/5.17  																															| Using (47) and (232) yields:
% 19.44/5.17  																															| (221) $false
% 19.44/5.17  																															|
% 19.44/5.17  																															|-The branch is then unsatisfiable
% 19.44/5.17  																													|-Branch two:
% 19.44/5.17  																													| (406)  ~ v1_funct_2(all_0_13_13, all_0_16_16, all_0_16_16)
% 19.44/5.17  																													| (392)  ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_50_0_46)
% 19.44/5.17  																													|
% 19.44/5.17  																														| From (202) and (392) follows:
% 19.44/5.17  																														| (232)  ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_0_15_15)
% 19.44/5.17  																														|
% 19.44/5.17  																														| Using (47) and (232) yields:
% 19.44/5.17  																														| (221) $false
% 19.44/5.17  																														|
% 19.44/5.17  																														|-The branch is then unsatisfiable
% 19.44/5.17  		|-Branch two:
% 19.44/5.17  		| (306)  ~ v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.17  		| (411)  ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) |  ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_42_0_43)
% 19.44/5.17  		|
% 19.44/5.17  			+-Applying beta-rule and splitting (208), into two cases.
% 19.44/5.17  			|-Branch one:
% 19.44/5.17  			| (219)  ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.17  			|
% 19.44/5.17  				| From (196) and (219) follows:
% 19.44/5.17  				| (220)  ~ m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.17  				|
% 19.44/5.17  				| Using (205) and (220) yields:
% 19.44/5.17  				| (221) $false
% 19.44/5.17  				|
% 19.44/5.17  				|-The branch is then unsatisfiable
% 19.44/5.17  			|-Branch two:
% 19.44/5.17  			| (222) m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.17  			| (223)  ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_42_0_43) | v1_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.17  			|
% 19.44/5.17  				| From (196) and (222) follows:
% 19.44/5.17  				| (205) m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.17  				|
% 19.44/5.17  				+-Applying beta-rule and splitting (211), into two cases.
% 19.44/5.17  				|-Branch one:
% 19.44/5.17  				| (320) v1_funct_2(all_0_14_14, all_32_0_38, all_32_0_38)
% 19.44/5.17  				|
% 19.44/5.17  					| From (199)(199) and (320) follows:
% 19.44/5.17  					| (218) v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.17  					|
% 19.44/5.17  					| Using (218) and (306) yields:
% 19.44/5.17  					| (221) $false
% 19.44/5.17  					|
% 19.44/5.17  					|-The branch is then unsatisfiable
% 19.44/5.17  				|-Branch two:
% 19.44/5.17  				| (317)  ~ v1_funct_2(all_0_14_14, all_32_0_38, all_32_0_38)
% 19.44/5.17  				| (422)  ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) |  ~ m2_fraenkel(all_0_14_14, all_32_0_38, all_32_0_38, all_0_15_15)
% 19.44/5.17  				|
% 19.44/5.17  					+-Applying beta-rule and splitting (210), into two cases.
% 19.44/5.17  					|-Branch one:
% 19.44/5.17  					| (225)  ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38)
% 19.44/5.17  					|
% 19.44/5.17  						| From (199)(199) and (225) follows:
% 19.44/5.17  						| (220)  ~ m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.17  						|
% 19.44/5.17  						| Using (205) and (220) yields:
% 19.44/5.17  						| (221) $false
% 19.44/5.17  						|
% 19.44/5.17  						|-The branch is then unsatisfiable
% 19.44/5.17  					|-Branch two:
% 19.44/5.17  					| (228) m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38)
% 19.44/5.17  					| (229)  ~ m2_fraenkel(all_0_14_14, all_32_0_38, all_32_0_38, all_0_15_15) | v1_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.17  					|
% 19.44/5.17  						| From (199)(199) and (228) follows:
% 19.44/5.17  						| (205) m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.17  						|
% 19.44/5.17  						+-Applying beta-rule and splitting (422), into two cases.
% 19.44/5.17  						|-Branch one:
% 19.44/5.17  						| (225)  ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38)
% 19.44/5.17  						|
% 19.44/5.17  							| From (199)(199) and (225) follows:
% 19.44/5.17  							| (220)  ~ m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.17  							|
% 19.44/5.17  							| Using (205) and (220) yields:
% 19.44/5.17  							| (221) $false
% 19.44/5.17  							|
% 19.44/5.17  							|-The branch is then unsatisfiable
% 19.44/5.17  						|-Branch two:
% 19.44/5.17  						| (228) m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38)
% 19.44/5.17  						| (231)  ~ m2_fraenkel(all_0_14_14, all_32_0_38, all_32_0_38, all_0_15_15)
% 19.44/5.17  						|
% 19.44/5.17  							| From (199)(199) and (231) follows:
% 19.44/5.17  							| (232)  ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_0_15_15)
% 19.44/5.17  							|
% 19.44/5.17  							| Using (47) and (232) yields:
% 19.44/5.17  							| (221) $false
% 19.44/5.17  							|
% 19.44/5.17  							|-The branch is then unsatisfiable
% 19.44/5.17  	|-Branch two:
% 19.44/5.17  	| (352)  ~ m2_relset_1(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.17  	| (411)  ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) |  ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_42_0_43)
% 19.44/5.17  	|
% 19.44/5.17  		+-Applying beta-rule and splitting (411), into two cases.
% 19.44/5.17  		|-Branch one:
% 19.44/5.17  		| (219)  ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.17  		|
% 19.44/5.17  			| From (196) and (219) follows:
% 19.44/5.17  			| (220)  ~ m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.17  			|
% 19.44/5.17  			| Using (205) and (220) yields:
% 19.44/5.17  			| (221) $false
% 19.44/5.17  			|
% 19.44/5.17  			|-The branch is then unsatisfiable
% 19.44/5.17  		|-Branch two:
% 19.44/5.17  		| (222) m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.17  		| (442)  ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_42_0_43)
% 19.44/5.17  		|
% 19.44/5.17  			| From (196) and (442) follows:
% 19.44/5.17  			| (232)  ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_0_15_15)
% 19.44/5.17  			|
% 19.44/5.17  			| Using (47) and (232) yields:
% 19.44/5.17  			| (221) $false
% 19.44/5.17  			|
% 19.44/5.17  			|-The branch is then unsatisfiable
% 19.44/5.17  |-Branch two:
% 19.44/5.17  | (445)  ~ v1_funct_1(all_0_14_14)
% 19.44/5.17  | (422)  ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) |  ~ m2_fraenkel(all_0_14_14, all_32_0_38, all_32_0_38, all_0_15_15)
% 19.44/5.17  |
% 19.44/5.17  	+-Applying beta-rule and splitting (422), into two cases.
% 19.44/5.17  	|-Branch one:
% 19.44/5.17  	| (225)  ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38)
% 19.44/5.17  	|
% 19.44/5.17  		| From (199)(199) and (225) follows:
% 19.44/5.17  		| (220)  ~ m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.17  		|
% 19.44/5.17  		| Using (205) and (220) yields:
% 19.44/5.17  		| (221) $false
% 19.44/5.17  		|
% 19.44/5.17  		|-The branch is then unsatisfiable
% 19.44/5.17  	|-Branch two:
% 19.44/5.17  	| (228) m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38)
% 19.44/5.17  	| (231)  ~ m2_fraenkel(all_0_14_14, all_32_0_38, all_32_0_38, all_0_15_15)
% 19.44/5.17  	|
% 19.44/5.17  		| From (199)(199) and (231) follows:
% 19.44/5.17  		| (232)  ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_0_15_15)
% 19.44/5.17  		|
% 19.44/5.17  		| Using (47) and (232) yields:
% 19.44/5.17  		| (221) $false
% 19.44/5.17  		|
% 19.44/5.17  		|-The branch is then unsatisfiable
% 19.44/5.17  % SZS output end Proof for theBenchmark
% 19.44/5.17  
% 19.44/5.17  4549ms
%------------------------------------------------------------------------------