%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : GRP621+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 08:43:03 EDT 2022

% Result   : Theorem 18.93s 5.35s
% Output   : Proof 22.79s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP621+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12  % Command  : ePrincess-casc -timeout=%d %s
% 0.12/0.33  % Computer : n011.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 17:45:49 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.58          ____       _                          
% 0.19/0.58    ___  / __ \_____(_)___  ________  __________
% 0.19/0.58   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.58  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.19/0.58  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.19/0.58  
% 0.19/0.58  A Theorem Prover for First-Order Logic
% 0.19/0.58  (ePrincess v.1.0)
% 0.19/0.58  
% 0.19/0.58  (c) Philipp Rümmer, 2009-2015
% 0.19/0.58  (c) Peter Backeman, 2014-2015
% 0.19/0.58  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.58  Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.58  Bug reports to peter@backeman.se
% 0.19/0.58  
% 0.19/0.58  For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.58  
% 0.19/0.58  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.76/0.64  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.05/1.06  Prover 0: Preprocessing ...
% 3.81/1.50  Prover 0: Warning: ignoring some quantifiers
% 3.98/1.53  Prover 0: Constructing countermodel ...
% 18.93/5.34  Prover 0: proved (4709ms)
% 18.93/5.35  
% 18.93/5.35  No countermodel exists, formula is valid
% 18.93/5.35  % SZS status Theorem for theBenchmark
% 18.93/5.35  
% 18.93/5.35  Generating proof ... Warning: ignoring some quantifiers
% 22.20/6.10  found it (size 390)
% 22.20/6.10  
% 22.20/6.10  % SZS output start Proof for theBenchmark
% 22.20/6.10  Assumed formulas after preprocessing and simplification: 
% 22.20/6.10  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] : (k7_funct_2(v1, v1, v1, v4, v3) = v5 & k1_autgroup(v0) = v2 & u1_struct_0(v0) = v1 & l1_struct_0(v17) & l1_struct_0(v6) & v2_funct_1(v13) & v2_funct_1(v8) & v2_group_1(v7) & v1_xboole_0(v13) & v1_xboole_0(v12) & v1_xboole_0(v11) & v1_xboole_0(k1_xboole_0) & v1_funct_1(v15) & v1_funct_1(v13) & v1_funct_1(v11) & v1_funct_1(v8) & v1_relat_1(v15) & v1_relat_1(v13) & v1_relat_1(v11) & v1_relat_1(v8) & v1_fraenkel(v16) & m2_fraenkel(v4, v1, v1, v2) & m2_fraenkel(v3, v1, v1, v2) & l1_group_1(v18) & l1_group_1(v14) & l1_group_1(v10) & l1_group_1(v7) & l1_group_1(v0) & v4_group_1(v7) & v4_group_1(v0) & v3_group_1(v7) & v3_group_1(v0) & v1_group_1(v14) & v1_group_1(v10) & v1_group_1(v7) & v1_group_1(v0) &  ~ v1_xboole_0(v16) &  ~ v1_xboole_0(v9) &  ~ m2_fraenkel(v5, v1, v1, v2) &  ~ v3_struct_0(v10) &  ~ v3_struct_0(v7) &  ~ v3_struct_0(v6) &  ~ v3_struct_0(v0) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] :  ! [v27] : ( ~ (k8_group_6(v19, v21, v23, v25, v26) = v27) |  ~ (u1_struct_0(v23) = v24) |  ~ (u1_struct_0(v21) = v22) |  ~ (u1_struct_0(v19) = v20) |  ~ v4_group_6(v26, v21, v23) |  ~ v4_group_6(v25, v19, v21) |  ~ m2_relset_1(v26, v22, v24) |  ~ m2_relset_1(v25, v20, v22) |  ~ v1_group_6(v26, v21, v23) |  ~ v1_group_6(v25, v19, v21) |  ~ v1_funct_2(v26, v22, v24) |  ~ v1_funct_2(v25, v20, v22) |  ~ v1_funct_1(v26) |  ~ v1_funct_1(v25) |  ~ l1_group_1(v23) |  ~ l1_group_1(v21) |  ~ l1_group_1(v19) |  ~ v4_group_1(v23) |  ~ v4_group_1(v21) |  ~ v4_group_1(v19) |  ~ v3_group_1(v23) |  ~ v3_group_1(v21) |  ~ v3_group_1(v19) | v4_group_6(v27, v19, v23) | v3_struct_0(v23) | v3_struct_0(v21) | v3_struct_0(v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] :  ! [v27] : ( ~ (k5_relat_1(v22, v23) = v27) |  ~ (u1_struct_0(v21) = v26) |  ~ (u1_struct_0(v20) = v25) |  ~ (u1_struct_0(v19) = v24) |  ~ v1_group_6(v23, v20, v21) |  ~ v1_group_6(v22, v19, v20) |  ~ v1_funct_2(v23, v25, v26) |  ~ v1_funct_2(v22, v24, v25) |  ~ m1_relset_1(v23, v25, v26) |  ~ m1_relset_1(v22, v24, v25) |  ~ v1_funct_1(v23) |  ~ v1_funct_1(v22) |  ~ l1_group_1(v21) |  ~ l1_group_1(v20) |  ~ l1_group_1(v19) |  ~ v4_group_1(v21) |  ~ v4_group_1(v20) |  ~ v4_group_1(v19) |  ~ v3_group_1(v21) |  ~ v3_group_1(v20) |  ~ v3_group_1(v19) | k8_group_6(v19, v20, v21, v22, v23) = v27 | v3_struct_0(v21) | v3_struct_0(v20) | v3_struct_0(v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v20 = v19 |  ~ (k8_group_6(v25, v24, v23, v22, v21) = v20) |  ~ (k8_group_6(v25, v24, v23, v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] : (v20 = v19 |  ~ (k7_funct_2(v25, v24, v23, v22, v21) = v20) |  ~ (k7_funct_2(v25, v24, v23, v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (k8_group_6(v19, v20, v21, v22, v23) = v24) |  ~ v1_group_6(v23, v20, v21) |  ~ v1_group_6(v22, v19, v20) |  ~ v1_funct_1(v23) |  ~ v1_funct_1(v22) |  ~ l1_group_1(v21) |  ~ l1_group_1(v20) |  ~ l1_group_1(v19) |  ~ v4_group_1(v21) |  ~ v4_group_1(v20) |  ~ v4_group_1(v19) |  ~ v3_group_1(v21) |  ~ v3_group_1(v20) |  ~ v3_group_1(v19) | v3_struct_0(v21) | v3_struct_0(v20) | v3_struct_0(v19) |  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] : (k5_relat_1(v22, v23) = v28 & u1_struct_0(v21) = v27 & u1_struct_0(v20) = v26 & u1_struct_0(v19) = v25 & (v28 = v24 |  ~ v1_funct_2(v23, v26, v27) |  ~ v1_funct_2(v22, v25, v26) |  ~ m1_relset_1(v23, v26, v27) |  ~ m1_relset_1(v22, v25, v26)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (k8_group_6(v19, v20, v21, v22, v23) = v24) |  ~ v1_group_6(v23, v20, v21) |  ~ v1_group_6(v22, v19, v20) |  ~ v1_funct_1(v23) |  ~ v1_funct_1(v22) |  ~ l1_group_1(v21) |  ~ l1_group_1(v20) |  ~ l1_group_1(v19) |  ~ v4_group_1(v21) |  ~ v4_group_1(v20) |  ~ v4_group_1(v19) |  ~ v3_group_1(v21) |  ~ v3_group_1(v20) |  ~ v3_group_1(v19) | v3_struct_0(v21) | v3_struct_0(v20) | v3_struct_0(v19) |  ? [v25] :  ? [v26] :  ? [v27] : (u1_struct_0(v21) = v27 & u1_struct_0(v20) = v26 & u1_struct_0(v19) = v25 & ( ~ v1_funct_2(v23, v26, v27) |  ~ v1_funct_2(v22, v25, v26) |  ~ m1_relset_1(v23, v26, v27) |  ~ m1_relset_1(v22, v25, v26) | (m2_relset_1(v24, v25, v27) & v1_group_6(v24, v19, v21) & v1_funct_2(v24, v25, v27) & v1_funct_1(v24))))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (k7_funct_2(v19, v20, v21, v22, v23) = v24) |  ~ v1_funct_2(v23, v20, v21) |  ~ v1_funct_2(v22, v19, v20) |  ~ m1_relset_1(v23, v20, v21) |  ~ m1_relset_1(v22, v19, v20) |  ~ v1_funct_1(v23) |  ~ v1_funct_1(v22) | k5_relat_1(v22, v23) = v24 | v1_xboole_0(v20)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (k7_funct_2(v19, v20, v21, v22, v23) = v24) |  ~ v1_funct_2(v23, v20, v21) |  ~ v1_funct_2(v22, v19, v20) |  ~ m1_relset_1(v23, v20, v21) |  ~ m1_relset_1(v22, v19, v20) |  ~ v1_funct_1(v23) |  ~ v1_funct_1(v22) | m2_relset_1(v24, v19, v21) | v1_xboole_0(v20)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (k7_funct_2(v19, v20, v21, v22, v23) = v24) |  ~ v1_funct_2(v23, v20, v21) |  ~ v1_funct_2(v22, v19, v20) |  ~ m1_relset_1(v23, v20, v21) |  ~ m1_relset_1(v22, v19, v20) |  ~ v1_funct_1(v23) |  ~ v1_funct_1(v22) | v1_funct_2(v24, v19, v21) | v1_xboole_0(v20)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (k7_funct_2(v19, v20, v21, v22, v23) = v24) |  ~ v1_funct_2(v23, v20, v21) |  ~ v1_funct_2(v22, v19, v20) |  ~ m1_relset_1(v23, v20, v21) |  ~ m1_relset_1(v22, v19, v20) |  ~ v1_funct_1(v23) |  ~ v1_funct_1(v22) | v1_xboole_0(v20) | v1_funct_1(v24)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v23 = v20 |  ~ (g1_group_1(v22, v23) = v21) |  ~ (g1_group_1(v19, v20) = v21) |  ~ v1_funct_1(v20) |  ? [v24] : (k2_zfmisc_1(v19, v19) = v24 & ( ~ v1_funct_2(v20, v24, v19) |  ~ m1_relset_1(v20, v24, v19)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v22 = v19 |  ~ (g1_group_1(v22, v23) = v21) |  ~ (g1_group_1(v19, v20) = v21) |  ~ v1_funct_1(v20) |  ? [v24] : (k2_zfmisc_1(v19, v19) = v24 & ( ~ v1_funct_2(v20, v24, v19) |  ~ m1_relset_1(v20, v24, v19)))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v22 = v19 |  ~ (u1_struct_0(v19) = v20) |  ~ (u1_group_1(v19) = v21) |  ~ (g1_group_1(v20, v21) = v22) |  ~ l1_group_1(v19) |  ~ v1_group_1(v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (k5_relat_1(v22, v21) = v20) |  ~ (k5_relat_1(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (k2_zfmisc_1(v22, v21) = v20) |  ~ (k2_zfmisc_1(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : (v20 = v19 |  ~ (g1_group_1(v22, v21) = v20) |  ~ (g1_group_1(v22, v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (k2_zfmisc_1(v19, v20) = v22) |  ~ m2_relset_1(v21, v19, v20) |  ? [v23] : (k1_zfmisc_1(v22) = v23 & m1_subset_1(v21, v23))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (k1_zfmisc_1(v21) = v22) |  ~ v1_xboole_0(v21) |  ~ m1_subset_1(v20, v22) |  ~ r2_hidden(v19, v20)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (k1_zfmisc_1(v21) = v22) |  ~ m1_subset_1(v20, v22) |  ~ r2_hidden(v19, v20) | m1_subset_1(v19, v21)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (u1_struct_0(v20) = v22) |  ~ (u1_struct_0(v19) = v21) |  ~ l1_group_1(v20) |  ~ l1_group_1(v19) |  ~ v4_group_1(v20) |  ~ v4_group_1(v19) |  ~ v3_group_1(v20) |  ~ v3_group_1(v19) | v3_struct_0(v20) | v3_struct_0(v19) |  ? [v23] : (v1_group_6(v23, v19, v20) & v1_funct_2(v23, v21, v22) & v1_partfun1(v23, v21, v22) & m1_relset_1(v23, v21, v22) & v1_funct_1(v23) & v1_relat_1(v23) &  ~ v1_xboole_0(v23))) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ m1_fraenkel(v21, v19, v20) |  ~ m1_subset_1(v22, v21) | v1_xboole_0(v20) | m2_fraenkel(v22, v19, v20, v21)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ m1_fraenkel(v21, v19, v20) |  ~ m2_fraenkel(v22, v19, v20, v21) | m2_relset_1(v22, v19, v20) | v1_xboole_0(v20)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ m1_fraenkel(v21, v19, v20) |  ~ m2_fraenkel(v22, v19, v20, v21) | v1_funct_2(v22, v19, v20) | v1_xboole_0(v20)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ m1_fraenkel(v21, v19, v20) |  ~ m2_fraenkel(v22, v19, v20, v21) | v1_xboole_0(v20) | v1_funct_1(v22)) &  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ m1_fraenkel(v21, v19, v20) |  ~ m2_fraenkel(v22, v19, v20, v21) | v1_xboole_0(v20) | m1_subset_1(v22, v21)) &  ? [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (k2_zfmisc_1(v20, v21) = v22) | v1_relat_1(v19) |  ? [v23] : (k1_zfmisc_1(v22) = v23 &  ~ m1_subset_1(v19, v23))) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (k1_autgroup(v21) = v20) |  ~ (k1_autgroup(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (k1_zfmisc_1(v21) = v20) |  ~ (k1_zfmisc_1(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (u1_struct_0(v21) = v20) |  ~ (u1_struct_0(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : (v20 = v19 |  ~ (u1_group_1(v21) = v20) |  ~ (u1_group_1(v21) = v19)) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (k5_relat_1(v19, v20) = v21) |  ~ v1_funct_1(v20) |  ~ v1_funct_1(v19) |  ~ v1_relat_1(v20) |  ~ v1_relat_1(v19) | v1_funct_1(v21)) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (k5_relat_1(v19, v20) = v21) |  ~ v1_funct_1(v20) |  ~ v1_funct_1(v19) |  ~ v1_relat_1(v20) |  ~ v1_relat_1(v19) | v1_relat_1(v21)) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (k5_relat_1(v19, v20) = v21) |  ~ v1_relat_1(v20) |  ~ v1_relat_1(v19) | v1_relat_1(v21)) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (k2_zfmisc_1(v20, v20) = v21) |  ~ (u1_struct_0(v19) = v20) |  ~ l1_group_1(v19) |  ? [v22] : (u1_group_1(v19) = v22 & m2_relset_1(v22, v21, v20) & v1_funct_2(v22, v21, v20) & v1_funct_1(v22))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (k1_zfmisc_1(v20) = v21) |  ~ r1_tarski(v19, v20) | m1_subset_1(v19, v21)) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (k1_zfmisc_1(v20) = v21) |  ~ m1_subset_1(v19, v21) | r1_tarski(v19, v20)) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (g1_group_1(v19, v20) = v21) |  ~ v1_funct_1(v20) |  ~ v3_struct_0(v21) | v1_xboole_0(v19) |  ? [v22] : (k2_zfmisc_1(v19, v19) = v22 & ( ~ v1_funct_2(v20, v22, v19) |  ~ m1_relset_1(v20, v22, v19)))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (g1_group_1(v19, v20) = v21) |  ~ v1_funct_1(v20) | v1_xboole_0(v19) | v1_group_1(v21) |  ? [v22] : (k2_zfmisc_1(v19, v19) = v22 & ( ~ v1_funct_2(v20, v22, v19) |  ~ m1_relset_1(v20, v22, v19)))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (g1_group_1(v19, v20) = v21) |  ~ v1_funct_1(v20) | l1_group_1(v21) |  ? [v22] : (k2_zfmisc_1(v19, v19) = v22 & ( ~ v1_funct_2(v20, v22, v19) |  ~ m1_relset_1(v20, v22, v19)))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (g1_group_1(v19, v20) = v21) |  ~ v1_funct_1(v20) | v1_group_1(v21) |  ? [v22] : (k2_zfmisc_1(v19, v19) = v22 & ( ~ v1_funct_2(v20, v22, v19) |  ~ m1_relset_1(v20, v22, v19)))) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ m2_relset_1(v21, v19, v20) | m1_relset_1(v21, v19, v20)) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ m1_fraenkel(v21, v19, v20) |  ~ v1_xboole_0(v21)) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ m1_fraenkel(v21, v19, v20) | v1_xboole_0(v20) |  ? [v22] : m2_fraenkel(v22, v19, v20, v21)) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ m1_fraenkel(v21, v19, v20) | v1_fraenkel(v21)) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ v1_funct_2(v21, v19, v20) |  ~ m1_relset_1(v21, v19, v20) |  ~ v1_xboole_0(v21) |  ~ v1_funct_1(v21) | v1_xboole_0(v20) | v1_xboole_0(v19)) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ v1_funct_2(v21, v19, v20) |  ~ m1_relset_1(v21, v19, v20) |  ~ v1_funct_1(v21) | v1_partfun1(v21, v19, v20) | v1_xboole_0(v20) | v1_xboole_0(v19)) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ v1_funct_2(v21, v19, v20) |  ~ m1_relset_1(v21, v19, v20) |  ~ v1_funct_1(v21) | v1_partfun1(v21, v19, v20) | v1_xboole_0(v20)) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ v1_partfun1(v21, v19, v20) |  ~ m1_relset_1(v21, v19, v20) |  ~ v1_funct_1(v21) | v1_funct_2(v21, v19, v20)) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ m1_relset_1(v21, v19, v20) | m2_relset_1(v21, v19, v20)) &  ! [v19] :  ! [v20] : (v20 = v19 |  ~ v1_xboole_0(v20) |  ~ v1_xboole_0(v19)) &  ! [v19] :  ! [v20] : ( ~ (k1_autgroup(v19) = v20) |  ~ l1_group_1(v19) |  ~ v4_group_1(v19) |  ~ v3_group_1(v19) |  ~ v1_group_1(v19) | v3_struct_0(v19) |  ? [v21] : (u1_struct_0(v19) = v21 & m1_fraenkel(v20, v21, v21))) &  ! [v19] :  ! [v20] : ( ~ (k1_autgroup(v19) = v20) |  ~ l1_group_1(v19) |  ~ v4_group_1(v19) |  ~ v3_group_1(v19) |  ~ v1_group_1(v19) | v3_struct_0(v19) |  ? [v21] : (u1_struct_0(v19) = v21 &  ! [v22] : (v22 = v20 |  ~ m1_fraenkel(v22, v21, v21) |  ? [v23] : ((m2_relset_1(v23, v21, v21) & v1_group_6(v23, v19, v19) & v1_funct_2(v23, v21, v21) & v1_funct_1(v23) & ( ~ v3_group_6(v23, v19, v19) |  ~ v2_funct_1(v23) |  ~ r2_hidden(v23, v22)) & (r2_hidden(v23, v22) | (v3_group_6(v23, v19, v19) & v2_funct_1(v23)))) | (m2_fraenkel(v23, v21, v21, v22) & ( ~ m2_relset_1(v23, v21, v21) |  ~ v1_group_6(v23, v19, v19) |  ~ v1_funct_2(v23, v21, v21) |  ~ v1_funct_1(v23))))) &  ! [v22] : ( ~ v3_group_6(v22, v19, v19) |  ~ m2_relset_1(v22, v21, v21) |  ~ v1_group_6(v22, v19, v19) |  ~ m1_fraenkel(v20, v21, v21) |  ~ v2_funct_1(v22) |  ~ v1_funct_2(v22, v21, v21) |  ~ v1_funct_1(v22) | r2_hidden(v22, v20)) &  ! [v22] : ( ~ m2_relset_1(v22, v21, v21) |  ~ v1_group_6(v22, v19, v19) |  ~ m1_fraenkel(v20, v21, v21) |  ~ v1_funct_2(v22, v21, v21) |  ~ v1_funct_1(v22) |  ~ r2_hidden(v22, v20) | v3_group_6(v22, v19, v19)) &  ! [v22] : ( ~ m2_relset_1(v22, v21, v21) |  ~ v1_group_6(v22, v19, v19) |  ~ m1_fraenkel(v20, v21, v21) |  ~ v1_funct_2(v22, v21, v21) |  ~ v1_funct_1(v22) |  ~ r2_hidden(v22, v20) | v2_funct_1(v22)) &  ! [v22] : ( ~ m1_fraenkel(v20, v21, v21) |  ~ m2_fraenkel(v22, v21, v21, v20) | m2_relset_1(v22, v21, v21)) &  ! [v22] : ( ~ m1_fraenkel(v20, v21, v21) |  ~ m2_fraenkel(v22, v21, v21, v20) | v1_group_6(v22, v19, v19)) &  ! [v22] : ( ~ m1_fraenkel(v20, v21, v21) |  ~ m2_fraenkel(v22, v21, v21, v20) | v1_funct_2(v22, v21, v21)) &  ! [v22] : ( ~ m1_fraenkel(v20, v21, v21) |  ~ m2_fraenkel(v22, v21, v21, v20) | v1_funct_1(v22)))) &  ! [v19] :  ! [v20] : ( ~ (k1_autgroup(v19) = v20) |  ~ l1_group_1(v19) |  ~ v4_group_1(v19) |  ~ v3_group_1(v19) |  ~ v1_group_1(v19) | v3_struct_0(v19) |  ? [v21] : (u1_struct_0(v19) = v21 &  ! [v22] : ( ~ v4_group_6(v22, v19, v19) |  ~ m2_relset_1(v22, v21, v21) |  ~ v1_group_6(v22, v19, v19) |  ~ v1_funct_2(v22, v21, v21) |  ~ v1_funct_1(v22) | r2_hidden(v22, v20)) &  ! [v22] : ( ~ m2_relset_1(v22, v21, v21) |  ~ v1_group_6(v22, v19, v19) |  ~ v1_funct_2(v22, v21, v21) |  ~ v1_funct_1(v22) |  ~ r2_hidden(v22, v20) | v4_group_6(v22, v19, v19)))) &  ! [v19] :  ! [v20] : ( ~ (u1_struct_0(v19) = v20) |  ~ l1_struct_0(v19) |  ~ v1_xboole_0(v20) | v3_struct_0(v19)) &  ! [v19] :  ! [v20] : ( ~ (u1_struct_0(v19) = v20) |  ~ l1_struct_0(v19) | v3_struct_0(v19) |  ? [v21] :  ? [v22] : (k1_zfmisc_1(v20) = v21 & m1_subset_1(v22, v21) &  ~ v1_xboole_0(v22))) &  ! [v19] :  ! [v20] : ( ~ (u1_struct_0(v19) = v20) |  ~ l1_group_1(v19) |  ~ v4_group_1(v19) |  ~ v3_group_1(v19) |  ~ v1_group_1(v19) | v3_struct_0(v19) |  ? [v21] : (k1_autgroup(v19) = v21 & m1_fraenkel(v21, v20, v20))) &  ! [v19] :  ! [v20] : ( ~ (u1_struct_0(v19) = v20) |  ~ l1_group_1(v19) |  ~ v4_group_1(v19) |  ~ v3_group_1(v19) |  ~ v1_group_1(v19) | v3_struct_0(v19) |  ? [v21] : (k1_autgroup(v19) = v21 &  ! [v22] : (v22 = v21 |  ~ m1_fraenkel(v22, v20, v20) |  ? [v23] : ((m2_relset_1(v23, v20, v20) & v1_group_6(v23, v19, v19) & v1_funct_2(v23, v20, v20) & v1_funct_1(v23) & ( ~ v3_group_6(v23, v19, v19) |  ~ v2_funct_1(v23) |  ~ r2_hidden(v23, v22)) & (r2_hidden(v23, v22) | (v3_group_6(v23, v19, v19) & v2_funct_1(v23)))) | (m2_fraenkel(v23, v20, v20, v22) & ( ~ m2_relset_1(v23, v20, v20) |  ~ v1_group_6(v23, v19, v19) |  ~ v1_funct_2(v23, v20, v20) |  ~ v1_funct_1(v23))))) &  ! [v22] : ( ~ v3_group_6(v22, v19, v19) |  ~ m2_relset_1(v22, v20, v20) |  ~ v1_group_6(v22, v19, v19) |  ~ m1_fraenkel(v21, v20, v20) |  ~ v2_funct_1(v22) |  ~ v1_funct_2(v22, v20, v20) |  ~ v1_funct_1(v22) | r2_hidden(v22, v21)) &  ! [v22] : ( ~ m2_relset_1(v22, v20, v20) |  ~ v1_group_6(v22, v19, v19) |  ~ m1_fraenkel(v21, v20, v20) |  ~ v1_funct_2(v22, v20, v20) |  ~ v1_funct_1(v22) |  ~ r2_hidden(v22, v21) | v3_group_6(v22, v19, v19)) &  ! [v22] : ( ~ m2_relset_1(v22, v20, v20) |  ~ v1_group_6(v22, v19, v19) |  ~ m1_fraenkel(v21, v20, v20) |  ~ v1_funct_2(v22, v20, v20) |  ~ v1_funct_1(v22) |  ~ r2_hidden(v22, v21) | v2_funct_1(v22)) &  ! [v22] : ( ~ m1_fraenkel(v21, v20, v20) |  ~ m2_fraenkel(v22, v20, v20, v21) | m2_relset_1(v22, v20, v20)) &  ! [v22] : ( ~ m1_fraenkel(v21, v20, v20) |  ~ m2_fraenkel(v22, v20, v20, v21) | v1_group_6(v22, v19, v19)) &  ! [v22] : ( ~ m1_fraenkel(v21, v20, v20) |  ~ m2_fraenkel(v22, v20, v20, v21) | v1_funct_2(v22, v20, v20)) &  ! [v22] : ( ~ m1_fraenkel(v21, v20, v20) |  ~ m2_fraenkel(v22, v20, v20, v21) | v1_funct_1(v22)))) &  ! [v19] :  ! [v20] : ( ~ (u1_struct_0(v19) = v20) |  ~ l1_group_1(v19) |  ~ v4_group_1(v19) |  ~ v3_group_1(v19) |  ~ v1_group_1(v19) | v3_struct_0(v19) |  ? [v21] : (k1_autgroup(v19) = v21 &  ! [v22] : ( ~ v4_group_6(v22, v19, v19) |  ~ m2_relset_1(v22, v20, v20) |  ~ v1_group_6(v22, v19, v19) |  ~ v1_funct_2(v22, v20, v20) |  ~ v1_funct_1(v22) | r2_hidden(v22, v21)) &  ! [v22] : ( ~ m2_relset_1(v22, v20, v20) |  ~ v1_group_6(v22, v19, v19) |  ~ v1_funct_2(v22, v20, v20) |  ~ v1_funct_1(v22) |  ~ r2_hidden(v22, v21) | v4_group_6(v22, v19, v19)))) &  ! [v19] :  ! [v20] : ( ~ (u1_struct_0(v19) = v20) |  ~ l1_group_1(v19) |  ? [v21] :  ? [v22] : (k2_zfmisc_1(v20, v20) = v22 & u1_group_1(v19) = v21 & m2_relset_1(v21, v22, v20) & v1_funct_2(v21, v22, v20) & v1_funct_1(v21))) &  ! [v19] :  ! [v20] : ( ~ (u1_group_1(v19) = v20) |  ~ l1_group_1(v19) | v1_funct_1(v20)) &  ! [v19] :  ! [v20] : ( ~ (u1_group_1(v19) = v20) |  ~ l1_group_1(v19) |  ? [v21] :  ? [v22] : (k2_zfmisc_1(v21, v21) = v22 & u1_struct_0(v19) = v21 & m2_relset_1(v20, v22, v21) & v1_funct_2(v20, v22, v21))) &  ! [v19] :  ! [v20] : ( ~ v1_xboole_0(v20) |  ~ r2_hidden(v19, v20)) &  ! [v19] :  ! [v20] : ( ~ m1_subset_1(v20, v19) |  ~ v1_fraenkel(v19) | v1_funct_1(v20)) &  ! [v19] :  ! [v20] : ( ~ m1_subset_1(v20, v19) |  ~ v1_fraenkel(v19) | v1_relat_1(v20)) &  ! [v19] :  ! [v20] : ( ~ m1_subset_1(v19, v20) | v1_xboole_0(v20) | r2_hidden(v19, v20)) &  ! [v19] :  ! [v20] : ( ~ r2_hidden(v20, v19) |  ~ r2_hidden(v19, v20)) &  ! [v19] :  ! [v20] : ( ~ r2_hidden(v19, v20) | m1_subset_1(v19, v20)) &  ! [v19] : (v19 = k1_xboole_0 |  ~ v1_xboole_0(v19)) &  ! [v19] : ( ~ v1_xboole_0(v19) |  ~ v1_funct_1(v19) |  ~ v1_relat_1(v19) | v2_funct_1(v19)) &  ! [v19] : ( ~ v1_xboole_0(v19) | v1_funct_1(v19)) &  ! [v19] : ( ~ l1_group_1(v19) |  ~ v3_group_1(v19) | v2_group_1(v19) | v3_struct_0(v19)) &  ! [v19] : ( ~ l1_group_1(v19) | l1_struct_0(v19)) &  ? [v19] :  ? [v20] :  ? [v21] : m2_relset_1(v21, v19, v20) &  ? [v19] :  ? [v20] :  ? [v21] : m1_fraenkel(v21, v19, v20) &  ? [v19] :  ? [v20] :  ? [v21] : m1_relset_1(v21, v19, v20) &  ? [v19] :  ? [v20] :  ? [v21] : (v1_funct_2(v21, v19, v20) & m1_relset_1(v21, v19, v20) & v1_funct_1(v21) & v1_relat_1(v21)) &  ? [v19] :  ? [v20] :  ? [v21] : (m1_relset_1(v21, v19, v20) & v1_funct_1(v21) & v1_relat_1(v21)) &  ? [v19] :  ? [v20] : m1_subset_1(v20, v19) &  ? [v19] : r1_tarski(v19, v19))
% 22.20/6.17  | 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, all_0_18_18 yields:
% 22.20/6.17  | (1) k7_funct_2(all_0_17_17, all_0_17_17, all_0_17_17, all_0_14_14, all_0_15_15) = all_0_13_13 & k1_autgroup(all_0_18_18) = all_0_16_16 & u1_struct_0(all_0_18_18) = all_0_17_17 & 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_17_17, all_0_17_17, all_0_16_16) & m2_fraenkel(all_0_15_15, all_0_17_17, all_0_17_17, all_0_16_16) & 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_18_18) & v4_group_1(all_0_11_11) & v4_group_1(all_0_18_18) & v3_group_1(all_0_11_11) & v3_group_1(all_0_18_18) & 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_18_18) &  ~ v1_xboole_0(all_0_2_2) &  ~ v1_xboole_0(all_0_9_9) &  ~ m2_fraenkel(all_0_13_13, all_0_17_17, all_0_17_17, all_0_16_16) &  ~ 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_18_18) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : ( ~ (k8_group_6(v0, v2, v4, v6, v7) = v8) |  ~ (u1_struct_0(v4) = v5) |  ~ (u1_struct_0(v2) = v3) |  ~ (u1_struct_0(v0) = v1) |  ~ v4_group_6(v7, v2, v4) |  ~ v4_group_6(v6, v0, v2) |  ~ m2_relset_1(v7, v3, v5) |  ~ m2_relset_1(v6, v1, v3) |  ~ v1_group_6(v7, v2, v4) |  ~ v1_group_6(v6, v0, v2) |  ~ v1_funct_2(v7, v3, v5) |  ~ v1_funct_2(v6, v1, v3) |  ~ v1_funct_1(v7) |  ~ v1_funct_1(v6) |  ~ l1_group_1(v4) |  ~ l1_group_1(v2) |  ~ l1_group_1(v0) |  ~ v4_group_1(v4) |  ~ v4_group_1(v2) |  ~ v4_group_1(v0) |  ~ v3_group_1(v4) |  ~ v3_group_1(v2) |  ~ v3_group_1(v0) | v4_group_6(v8, v0, v4) | v3_struct_0(v4) | v3_struct_0(v2) | v3_struct_0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : ( ~ (k5_relat_1(v3, v4) = v8) |  ~ (u1_struct_0(v2) = v7) |  ~ (u1_struct_0(v1) = v6) |  ~ (u1_struct_0(v0) = v5) |  ~ v1_group_6(v4, v1, v2) |  ~ v1_group_6(v3, v0, v1) |  ~ v1_funct_2(v4, v6, v7) |  ~ v1_funct_2(v3, v5, v6) |  ~ m1_relset_1(v4, v6, v7) |  ~ m1_relset_1(v3, v5, v6) |  ~ v1_funct_1(v4) |  ~ v1_funct_1(v3) |  ~ l1_group_1(v2) |  ~ l1_group_1(v1) |  ~ l1_group_1(v0) |  ~ v4_group_1(v2) |  ~ v4_group_1(v1) |  ~ v4_group_1(v0) |  ~ v3_group_1(v2) |  ~ v3_group_1(v1) |  ~ v3_group_1(v0) | k8_group_6(v0, v1, v2, v3, v4) = v8 | v3_struct_0(v2) | v3_struct_0(v1) | v3_struct_0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v1 = v0 |  ~ (k8_group_6(v6, v5, v4, v3, v2) = v1) |  ~ (k8_group_6(v6, v5, v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v1 = v0 |  ~ (k7_funct_2(v6, v5, v4, v3, v2) = v1) |  ~ (k7_funct_2(v6, v5, v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k8_group_6(v0, v1, v2, v3, v4) = v5) |  ~ v1_group_6(v4, v1, v2) |  ~ v1_group_6(v3, v0, v1) |  ~ v1_funct_1(v4) |  ~ v1_funct_1(v3) |  ~ l1_group_1(v2) |  ~ l1_group_1(v1) |  ~ l1_group_1(v0) |  ~ v4_group_1(v2) |  ~ v4_group_1(v1) |  ~ v4_group_1(v0) |  ~ v3_group_1(v2) |  ~ v3_group_1(v1) |  ~ v3_group_1(v0) | v3_struct_0(v2) | v3_struct_0(v1) | v3_struct_0(v0) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (k5_relat_1(v3, v4) = v9 & u1_struct_0(v2) = v8 & u1_struct_0(v1) = v7 & u1_struct_0(v0) = v6 & (v9 = v5 |  ~ v1_funct_2(v4, v7, v8) |  ~ v1_funct_2(v3, v6, v7) |  ~ m1_relset_1(v4, v7, v8) |  ~ m1_relset_1(v3, v6, v7)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k8_group_6(v0, v1, v2, v3, v4) = v5) |  ~ v1_group_6(v4, v1, v2) |  ~ v1_group_6(v3, v0, v1) |  ~ v1_funct_1(v4) |  ~ v1_funct_1(v3) |  ~ l1_group_1(v2) |  ~ l1_group_1(v1) |  ~ l1_group_1(v0) |  ~ v4_group_1(v2) |  ~ v4_group_1(v1) |  ~ v4_group_1(v0) |  ~ v3_group_1(v2) |  ~ v3_group_1(v1) |  ~ v3_group_1(v0) | v3_struct_0(v2) | v3_struct_0(v1) | v3_struct_0(v0) |  ? [v6] :  ? [v7] :  ? [v8] : (u1_struct_0(v2) = v8 & u1_struct_0(v1) = v7 & u1_struct_0(v0) = v6 & ( ~ v1_funct_2(v4, v7, v8) |  ~ v1_funct_2(v3, v6, v7) |  ~ m1_relset_1(v4, v7, v8) |  ~ m1_relset_1(v3, v6, v7) | (m2_relset_1(v5, v6, v8) & v1_group_6(v5, v0, v2) & v1_funct_2(v5, v6, v8) & v1_funct_1(v5))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k7_funct_2(v0, v1, v2, v3, v4) = v5) |  ~ v1_funct_2(v4, v1, v2) |  ~ v1_funct_2(v3, v0, v1) |  ~ m1_relset_1(v4, v1, v2) |  ~ m1_relset_1(v3, v0, v1) |  ~ v1_funct_1(v4) |  ~ v1_funct_1(v3) | k5_relat_1(v3, v4) = v5 | v1_xboole_0(v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k7_funct_2(v0, v1, v2, v3, v4) = v5) |  ~ v1_funct_2(v4, v1, v2) |  ~ v1_funct_2(v3, v0, v1) |  ~ m1_relset_1(v4, v1, v2) |  ~ m1_relset_1(v3, v0, v1) |  ~ v1_funct_1(v4) |  ~ v1_funct_1(v3) | m2_relset_1(v5, v0, v2) | v1_xboole_0(v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k7_funct_2(v0, v1, v2, v3, v4) = v5) |  ~ v1_funct_2(v4, v1, v2) |  ~ v1_funct_2(v3, v0, v1) |  ~ m1_relset_1(v4, v1, v2) |  ~ m1_relset_1(v3, v0, v1) |  ~ v1_funct_1(v4) |  ~ v1_funct_1(v3) | v1_funct_2(v5, v0, v2) | v1_xboole_0(v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k7_funct_2(v0, v1, v2, v3, v4) = v5) |  ~ v1_funct_2(v4, v1, v2) |  ~ v1_funct_2(v3, v0, v1) |  ~ m1_relset_1(v4, v1, v2) |  ~ m1_relset_1(v3, v0, v1) |  ~ v1_funct_1(v4) |  ~ v1_funct_1(v3) | v1_xboole_0(v1) | v1_funct_1(v5)) &  ! [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] : (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 |  ~ (k5_relat_1(v3, v2) = v1) |  ~ (k5_relat_1(v3, v2) = 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 |  ~ (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] : ( ~ (k5_relat_1(v0, v1) = v2) |  ~ v1_funct_1(v1) |  ~ v1_funct_1(v0) |  ~ v1_relat_1(v1) |  ~ v1_relat_1(v0) | v1_funct_1(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k5_relat_1(v0, v1) = v2) |  ~ v1_funct_1(v1) |  ~ v1_funct_1(v0) |  ~ v1_relat_1(v1) |  ~ v1_relat_1(v0) | v1_relat_1(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k5_relat_1(v0, v1) = v2) |  ~ v1_relat_1(v1) |  ~ v1_relat_1(v0) | v1_relat_1(v2)) &  ! [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] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1)) &  ! [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] : ( ~ 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] : ( ~ (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] : (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] : ( ~ v3_group_6(v3, v0, v0) |  ~ m2_relset_1(v3, v2, v2) |  ~ v1_group_6(v3, v0, v0) |  ~ m1_fraenkel(v1, v2, v2) |  ~ v2_funct_1(v3) |  ~ 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) |  ~ m1_fraenkel(v1, v2, v2) |  ~ v1_funct_2(v3, v2, v2) |  ~ v1_funct_1(v3) |  ~ r2_hidden(v3, v1) | v3_group_6(v3, v0, v0)) &  ! [v3] : ( ~ m2_relset_1(v3, v2, v2) |  ~ v1_group_6(v3, v0, v0) |  ~ m1_fraenkel(v1, v2, v2) |  ~ 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] : (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] : ( ~ v3_group_6(v3, v0, v0) |  ~ m2_relset_1(v3, v1, v1) |  ~ v1_group_6(v3, v0, v0) |  ~ m1_fraenkel(v2, v1, v1) |  ~ v2_funct_1(v3) |  ~ 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) |  ~ m1_fraenkel(v2, v1, v1) |  ~ v1_funct_2(v3, v1, v1) |  ~ v1_funct_1(v3) |  ~ r2_hidden(v3, v2) | v3_group_6(v3, v0, v0)) &  ! [v3] : ( ~ m2_relset_1(v3, v1, v1) |  ~ v1_group_6(v3, v0, v0) |  ~ m1_fraenkel(v2, v1, v1) |  ~ 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] : m2_relset_1(v2, v0, v1) &  ? [v0] :  ? [v1] :  ? [v2] : m1_fraenkel(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)
% 22.65/6.20  |
% 22.65/6.20  | Applying alpha-rule on (1) yields:
% 22.65/6.20  | (2)  ! [v0] :  ! [v1] : ( ~ (u1_group_1(v0) = v1) |  ~ l1_group_1(v0) | v1_funct_1(v1))
% 22.65/6.20  | (3)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1))
% 22.65/6.20  | (4)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1))
% 22.65/6.20  | (5) v1_group_1(all_0_11_11)
% 22.65/6.20  | (6)  ! [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)))
% 22.65/6.20  | (7)  ! [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)))
% 22.65/6.20  | (8)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ m1_fraenkel(v2, v0, v1) |  ~ v1_xboole_0(v2))
% 22.65/6.20  | (9)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k8_group_6(v0, v1, v2, v3, v4) = v5) |  ~ v1_group_6(v4, v1, v2) |  ~ v1_group_6(v3, v0, v1) |  ~ v1_funct_1(v4) |  ~ v1_funct_1(v3) |  ~ l1_group_1(v2) |  ~ l1_group_1(v1) |  ~ l1_group_1(v0) |  ~ v4_group_1(v2) |  ~ v4_group_1(v1) |  ~ v4_group_1(v0) |  ~ v3_group_1(v2) |  ~ v3_group_1(v1) |  ~ v3_group_1(v0) | v3_struct_0(v2) | v3_struct_0(v1) | v3_struct_0(v0) |  ? [v6] :  ? [v7] :  ? [v8] : (u1_struct_0(v2) = v8 & u1_struct_0(v1) = v7 & u1_struct_0(v0) = v6 & ( ~ v1_funct_2(v4, v7, v8) |  ~ v1_funct_2(v3, v6, v7) |  ~ m1_relset_1(v4, v7, v8) |  ~ m1_relset_1(v3, v6, v7) | (m2_relset_1(v5, v6, v8) & v1_group_6(v5, v0, v2) & v1_funct_2(v5, v6, v8) & v1_funct_1(v5)))))
% 22.73/6.20  | (10) v1_fraenkel(all_0_2_2)
% 22.73/6.20  | (11) l1_group_1(all_0_11_11)
% 22.73/6.20  | (12)  ? [v0] :  ? [v1] :  ? [v2] : (m1_relset_1(v2, v0, v1) & v1_funct_1(v2) & v1_relat_1(v2))
% 22.73/6.20  | (13)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v1 = v0 |  ~ (k8_group_6(v6, v5, v4, v3, v2) = v1) |  ~ (k8_group_6(v6, v5, v4, v3, v2) = v0))
% 22.73/6.20  | (14)  ! [v0] :  ! [v1] : ( ~ v1_xboole_0(v1) |  ~ r2_hidden(v0, v1))
% 22.73/6.20  | (15)  ? [v0] :  ? [v1] :  ? [v2] : m1_fraenkel(v2, v0, v1)
% 22.73/6.20  | (16)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v1 = v0 |  ~ (k7_funct_2(v6, v5, v4, v3, v2) = v1) |  ~ (k7_funct_2(v6, v5, v4, v3, v2) = v0))
% 22.73/6.20  | (17)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k7_funct_2(v0, v1, v2, v3, v4) = v5) |  ~ v1_funct_2(v4, v1, v2) |  ~ v1_funct_2(v3, v0, v1) |  ~ m1_relset_1(v4, v1, v2) |  ~ m1_relset_1(v3, v0, v1) |  ~ v1_funct_1(v4) |  ~ v1_funct_1(v3) | m2_relset_1(v5, v0, v2) | v1_xboole_0(v1))
% 22.73/6.20  | (18)  ! [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))
% 22.73/6.20  | (19)  ! [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))
% 22.73/6.20  | (20)  ! [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))))
% 22.73/6.20  | (21)  ! [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))))
% 22.73/6.20  | (22)  ~ v1_xboole_0(all_0_9_9)
% 22.73/6.20  | (23)  ! [v0] : ( ~ v1_xboole_0(v0) |  ~ v1_funct_1(v0) |  ~ v1_relat_1(v0) | v2_funct_1(v0))
% 22.73/6.20  | (24) v1_relat_1(all_0_5_5)
% 22.73/6.20  | (25)  ! [v0] : ( ~ v1_xboole_0(v0) | v1_funct_1(v0))
% 22.73/6.20  | (26)  ! [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))))
% 22.73/6.20  | (27)  ~ v3_struct_0(all_0_12_12)
% 22.73/6.20  | (28)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (g1_group_1(v3, v2) = v1) |  ~ (g1_group_1(v3, v2) = v0))
% 22.73/6.20  | (29) l1_group_1(all_0_8_8)
% 22.73/6.20  | (30) l1_group_1(all_0_18_18)
% 22.73/6.20  | (31)  ! [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] : ( ~ v3_group_6(v3, v0, v0) |  ~ m2_relset_1(v3, v2, v2) |  ~ v1_group_6(v3, v0, v0) |  ~ m1_fraenkel(v1, v2, v2) |  ~ v2_funct_1(v3) |  ~ 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) |  ~ m1_fraenkel(v1, v2, v2) |  ~ v1_funct_2(v3, v2, v2) |  ~ v1_funct_1(v3) |  ~ r2_hidden(v3, v1) | v3_group_6(v3, v0, v0)) &  ! [v3] : ( ~ m2_relset_1(v3, v2, v2) |  ~ v1_group_6(v3, v0, v0) |  ~ m1_fraenkel(v1, v2, v2) |  ~ 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))))
% 22.73/6.21  | (32)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : ( ~ (k5_relat_1(v3, v4) = v8) |  ~ (u1_struct_0(v2) = v7) |  ~ (u1_struct_0(v1) = v6) |  ~ (u1_struct_0(v0) = v5) |  ~ v1_group_6(v4, v1, v2) |  ~ v1_group_6(v3, v0, v1) |  ~ v1_funct_2(v4, v6, v7) |  ~ v1_funct_2(v3, v5, v6) |  ~ m1_relset_1(v4, v6, v7) |  ~ m1_relset_1(v3, v5, v6) |  ~ v1_funct_1(v4) |  ~ v1_funct_1(v3) |  ~ l1_group_1(v2) |  ~ l1_group_1(v1) |  ~ l1_group_1(v0) |  ~ v4_group_1(v2) |  ~ v4_group_1(v1) |  ~ v4_group_1(v0) |  ~ v3_group_1(v2) |  ~ v3_group_1(v1) |  ~ v3_group_1(v0) | k8_group_6(v0, v1, v2, v3, v4) = v8 | v3_struct_0(v2) | v3_struct_0(v1) | v3_struct_0(v0))
% 22.73/6.21  | (33) v2_funct_1(all_0_5_5)
% 22.73/6.21  | (34)  ! [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)))
% 22.73/6.21  | (35)  ~ m2_fraenkel(all_0_13_13, all_0_17_17, all_0_17_17, all_0_16_16)
% 22.73/6.21  | (36) v4_group_1(all_0_18_18)
% 22.73/6.21  | (37)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (u1_struct_0(v2) = v1) |  ~ (u1_struct_0(v2) = v0))
% 22.73/6.21  | (38)  ! [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)))
% 22.73/6.21  | (39)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) |  ~ m2_fraenkel(v3, v0, v1, v2) | v1_xboole_0(v1) | m1_subset_1(v3, v2))
% 22.73/6.21  | (40)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) |  ~ m1_subset_1(v3, v2) | v1_xboole_0(v1) | m2_fraenkel(v3, v0, v1, v2))
% 22.73/6.21  | (41)  ~ v3_struct_0(all_0_8_8)
% 22.73/6.21  | (42)  ? [v0] :  ? [v1] :  ? [v2] : (v1_funct_2(v2, v0, v1) & m1_relset_1(v2, v0, v1) & v1_funct_1(v2) & v1_relat_1(v2))
% 22.73/6.21  | (43)  ? [v0] :  ? [v1] :  ? [v2] : m1_relset_1(v2, v0, v1)
% 22.73/6.21  | (44)  ! [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))
% 22.73/6.21  | (45)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k5_relat_1(v3, v2) = v1) |  ~ (k5_relat_1(v3, v2) = v0))
% 22.73/6.21  | (46)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ m1_fraenkel(v2, v0, v1) | v1_xboole_0(v1) |  ? [v3] : m2_fraenkel(v3, v0, v1, v2))
% 22.73/6.21  | (47) k1_autgroup(all_0_18_18) = all_0_16_16
% 22.73/6.21  | (48)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k7_funct_2(v0, v1, v2, v3, v4) = v5) |  ~ v1_funct_2(v4, v1, v2) |  ~ v1_funct_2(v3, v0, v1) |  ~ m1_relset_1(v4, v1, v2) |  ~ m1_relset_1(v3, v0, v1) |  ~ v1_funct_1(v4) |  ~ v1_funct_1(v3) | v1_xboole_0(v1) | v1_funct_1(v5))
% 22.73/6.21  | (49)  ! [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))))
% 22.73/6.21  | (50) v1_group_1(all_0_18_18)
% 22.73/6.21  | (51) v1_funct_1(all_0_3_3)
% 22.73/6.21  | (52)  ! [v0] : ( ~ l1_group_1(v0) |  ~ v3_group_1(v0) | v2_group_1(v0) | v3_struct_0(v0))
% 22.73/6.21  | (53) v1_xboole_0(k1_xboole_0)
% 22.73/6.21  | (54)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ v1_xboole_0(v1) |  ~ v1_xboole_0(v0))
% 22.73/6.21  | (55) m2_fraenkel(all_0_15_15, all_0_17_17, all_0_17_17, all_0_16_16)
% 22.73/6.21  | (56) m2_fraenkel(all_0_14_14, all_0_17_17, all_0_17_17, all_0_16_16)
% 22.73/6.21  | (57)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k5_relat_1(v0, v1) = v2) |  ~ v1_funct_1(v1) |  ~ v1_funct_1(v0) |  ~ v1_relat_1(v1) |  ~ v1_relat_1(v0) | v1_relat_1(v2))
% 22.73/6.21  | (58)  ! [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)))
% 22.73/6.21  | (59)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k8_group_6(v0, v1, v2, v3, v4) = v5) |  ~ v1_group_6(v4, v1, v2) |  ~ v1_group_6(v3, v0, v1) |  ~ v1_funct_1(v4) |  ~ v1_funct_1(v3) |  ~ l1_group_1(v2) |  ~ l1_group_1(v1) |  ~ l1_group_1(v0) |  ~ v4_group_1(v2) |  ~ v4_group_1(v1) |  ~ v4_group_1(v0) |  ~ v3_group_1(v2) |  ~ v3_group_1(v1) |  ~ v3_group_1(v0) | v3_struct_0(v2) | v3_struct_0(v1) | v3_struct_0(v0) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (k5_relat_1(v3, v4) = v9 & u1_struct_0(v2) = v8 & u1_struct_0(v1) = v7 & u1_struct_0(v0) = v6 & (v9 = v5 |  ~ v1_funct_2(v4, v7, v8) |  ~ v1_funct_2(v3, v6, v7) |  ~ m1_relset_1(v4, v7, v8) |  ~ m1_relset_1(v3, v6, v7))))
% 22.73/6.21  | (60) v1_relat_1(all_0_10_10)
% 22.73/6.21  | (61)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) |  ~ m2_fraenkel(v3, v0, v1, v2) | v1_xboole_0(v1) | v1_funct_1(v3))
% 22.73/6.21  | (62) v2_funct_1(all_0_10_10)
% 22.73/6.21  | (63)  ! [v0] :  ! [v1] : ( ~ r2_hidden(v1, v0) |  ~ r2_hidden(v0, v1))
% 22.73/6.21  | (64)  ! [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)))
% 22.73/6.21  | (65) v1_group_1(all_0_8_8)
% 22.73/6.21  | (66)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ v1_partfun1(v2, v0, v1) |  ~ m1_relset_1(v2, v0, v1) |  ~ v1_funct_1(v2) | v1_funct_2(v2, v0, v1))
% 22.73/6.21  | (67)  ~ v1_xboole_0(all_0_2_2)
% 22.73/6.21  | (68)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k5_relat_1(v0, v1) = v2) |  ~ v1_relat_1(v1) |  ~ v1_relat_1(v0) | v1_relat_1(v2))
% 22.73/6.21  | (69)  ! [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))
% 22.73/6.21  | (70) v1_group_1(all_0_4_4)
% 22.73/6.21  | (71)  ! [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))))
% 22.73/6.21  | (72)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k7_funct_2(v0, v1, v2, v3, v4) = v5) |  ~ v1_funct_2(v4, v1, v2) |  ~ v1_funct_2(v3, v0, v1) |  ~ m1_relset_1(v4, v1, v2) |  ~ m1_relset_1(v3, v0, v1) |  ~ v1_funct_1(v4) |  ~ v1_funct_1(v3) | v1_funct_2(v5, v0, v2) | v1_xboole_0(v1))
% 22.73/6.21  | (73) v1_funct_1(all_0_5_5)
% 22.73/6.21  | (74)  ! [v0] :  ! [v1] : ( ~ m1_subset_1(v1, v0) |  ~ v1_fraenkel(v0) | v1_relat_1(v1))
% 22.73/6.21  | (75)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k7_funct_2(v0, v1, v2, v3, v4) = v5) |  ~ v1_funct_2(v4, v1, v2) |  ~ v1_funct_2(v3, v0, v1) |  ~ m1_relset_1(v4, v1, v2) |  ~ m1_relset_1(v3, v0, v1) |  ~ v1_funct_1(v4) |  ~ v1_funct_1(v3) | k5_relat_1(v3, v4) = v5 | v1_xboole_0(v1))
% 22.73/6.21  | (76)  ? [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)))
% 22.79/6.21  | (77)  ! [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)))
% 22.79/6.21  | (78)  ~ v3_struct_0(all_0_18_18)
% 22.79/6.21  | (79)  ! [v0] : ( ~ l1_group_1(v0) | l1_struct_0(v0))
% 22.79/6.21  | (80)  ! [v0] :  ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1))
% 22.79/6.21  | (81) k7_funct_2(all_0_17_17, all_0_17_17, all_0_17_17, all_0_14_14, all_0_15_15) = all_0_13_13
% 22.79/6.21  | (82)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (u1_group_1(v2) = v1) |  ~ (u1_group_1(v2) = v0))
% 22.79/6.22  | (83) l1_group_1(all_0_0_0)
% 22.79/6.22  | (84) l1_group_1(all_0_4_4)
% 22.79/6.22  | (85)  ! [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)))
% 22.79/6.22  | (86)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) |  ~ v1_xboole_0(v2) |  ~ m1_subset_1(v1, v3) |  ~ r2_hidden(v0, v1))
% 22.79/6.22  | (87)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) |  ~ m1_subset_1(v1, v3) |  ~ r2_hidden(v0, v1) | m1_subset_1(v0, v2))
% 22.79/6.22  | (88)  ! [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))
% 22.79/6.22  | (89) v4_group_1(all_0_11_11)
% 22.79/6.22  | (90)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_struct_0(v0) |  ~ v1_xboole_0(v1) | v3_struct_0(v0))
% 22.79/6.22  | (91)  ! [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] : ( ~ v3_group_6(v3, v0, v0) |  ~ m2_relset_1(v3, v1, v1) |  ~ v1_group_6(v3, v0, v0) |  ~ m1_fraenkel(v2, v1, v1) |  ~ v2_funct_1(v3) |  ~ 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) |  ~ m1_fraenkel(v2, v1, v1) |  ~ v1_funct_2(v3, v1, v1) |  ~ v1_funct_1(v3) |  ~ r2_hidden(v3, v2) | v3_group_6(v3, v0, v0)) &  ! [v3] : ( ~ m2_relset_1(v3, v1, v1) |  ~ v1_group_6(v3, v0, v0) |  ~ m1_fraenkel(v2, v1, v1) |  ~ 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))))
% 22.79/6.22  | (92)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ m1_fraenkel(v2, v0, v1) | v1_fraenkel(v2))
% 22.79/6.22  | (93) v1_xboole_0(all_0_7_7)
% 22.79/6.22  | (94)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : ( ~ (k8_group_6(v0, v2, v4, v6, v7) = v8) |  ~ (u1_struct_0(v4) = v5) |  ~ (u1_struct_0(v2) = v3) |  ~ (u1_struct_0(v0) = v1) |  ~ v4_group_6(v7, v2, v4) |  ~ v4_group_6(v6, v0, v2) |  ~ m2_relset_1(v7, v3, v5) |  ~ m2_relset_1(v6, v1, v3) |  ~ v1_group_6(v7, v2, v4) |  ~ v1_group_6(v6, v0, v2) |  ~ v1_funct_2(v7, v3, v5) |  ~ v1_funct_2(v6, v1, v3) |  ~ v1_funct_1(v7) |  ~ v1_funct_1(v6) |  ~ l1_group_1(v4) |  ~ l1_group_1(v2) |  ~ l1_group_1(v0) |  ~ v4_group_1(v4) |  ~ v4_group_1(v2) |  ~ v4_group_1(v0) |  ~ v3_group_1(v4) |  ~ v3_group_1(v2) |  ~ v3_group_1(v0) | v4_group_6(v8, v0, v4) | v3_struct_0(v4) | v3_struct_0(v2) | v3_struct_0(v0))
% 22.79/6.22  | (95) u1_struct_0(all_0_18_18) = all_0_17_17
% 22.79/6.22  | (96) v1_funct_1(all_0_10_10)
% 22.79/6.22  | (97)  ? [v0] :  ? [v1] :  ? [v2] : m2_relset_1(v2, v0, v1)
% 22.79/6.22  | (98) v1_relat_1(all_0_3_3)
% 22.79/6.22  | (99)  ! [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))))
% 22.79/6.22  | (100)  ! [v0] : (v0 = k1_xboole_0 |  ~ v1_xboole_0(v0))
% 22.79/6.22  | (101)  ? [v0] :  ? [v1] : m1_subset_1(v1, v0)
% 22.79/6.22  | (102)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) |  ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1))
% 22.79/6.22  | (103)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) |  ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2))
% 22.79/6.22  | (104) v1_xboole_0(all_0_6_6)
% 22.79/6.22  | (105) l1_struct_0(all_0_12_12)
% 22.79/6.22  | (106) v3_group_1(all_0_11_11)
% 22.79/6.22  | (107) v1_funct_1(all_0_7_7)
% 22.79/6.22  | (108) v2_group_1(all_0_11_11)
% 22.79/6.22  | (109) v3_group_1(all_0_18_18)
% 22.79/6.22  | (110)  ! [v0] :  ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1))
% 22.79/6.22  | (111) v1_relat_1(all_0_7_7)
% 22.79/6.22  | (112)  ! [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))
% 22.79/6.22  | (113)  ~ v3_struct_0(all_0_11_11)
% 22.79/6.22  | (114)  ! [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))))
% 22.79/6.22  | (115) v1_xboole_0(all_0_5_5)
% 22.79/6.22  | (116)  ! [v0] :  ! [v1] : ( ~ m1_subset_1(v1, v0) |  ~ v1_fraenkel(v0) | v1_funct_1(v1))
% 22.79/6.22  | (117) l1_struct_0(all_0_1_1)
% 22.79/6.22  | (118)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k1_autgroup(v2) = v1) |  ~ (k1_autgroup(v2) = v0))
% 22.79/6.22  | (119)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k1_zfmisc_1(v2) = v1) |  ~ (k1_zfmisc_1(v2) = v0))
% 22.79/6.22  | (120)  ! [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))))
% 22.79/6.22  | (121)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k2_zfmisc_1(v3, v2) = v1) |  ~ (k2_zfmisc_1(v3, v2) = v0))
% 22.79/6.22  | (122)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k5_relat_1(v0, v1) = v2) |  ~ v1_funct_1(v1) |  ~ v1_funct_1(v0) |  ~ v1_relat_1(v1) |  ~ v1_relat_1(v0) | v1_funct_1(v2))
% 22.79/6.22  | (123)  ? [v0] : r1_tarski(v0, v0)
% 22.79/6.22  |
% 22.79/6.22  | Instantiating formula (6) with all_0_17_17, all_0_18_18 and discharging atoms u1_struct_0(all_0_18_18) = all_0_17_17, l1_group_1(all_0_18_18), yields:
% 22.79/6.22  | (124)  ? [v0] :  ? [v1] : (k2_zfmisc_1(all_0_17_17, all_0_17_17) = v1 & u1_group_1(all_0_18_18) = v0 & m2_relset_1(v0, v1, all_0_17_17) & v1_funct_2(v0, v1, all_0_17_17) & v1_funct_1(v0))
% 22.79/6.22  |
% 22.79/6.22  | Instantiating formula (79) with all_0_18_18 and discharging atoms l1_group_1(all_0_18_18), yields:
% 22.79/6.22  | (125) l1_struct_0(all_0_18_18)
% 22.79/6.22  |
% 22.79/6.22  | Instantiating formula (77) with all_0_16_16, all_0_18_18 and discharging atoms k1_autgroup(all_0_18_18) = all_0_16_16, l1_group_1(all_0_18_18), v4_group_1(all_0_18_18), v3_group_1(all_0_18_18), v1_group_1(all_0_18_18),  ~ v3_struct_0(all_0_18_18), yields:
% 22.79/6.22  | (126)  ? [v0] : (u1_struct_0(all_0_18_18) = v0 & m1_fraenkel(all_0_16_16, v0, v0))
% 22.79/6.22  |
% 22.79/6.22  | Instantiating formula (31) with all_0_16_16, all_0_18_18 and discharging atoms k1_autgroup(all_0_18_18) = all_0_16_16, l1_group_1(all_0_18_18), v4_group_1(all_0_18_18), v3_group_1(all_0_18_18), v1_group_1(all_0_18_18),  ~ v3_struct_0(all_0_18_18), yields:
% 22.79/6.22  | (127)  ? [v0] : (u1_struct_0(all_0_18_18) = v0 &  ! [v1] : (v1 = all_0_16_16 |  ~ m1_fraenkel(v1, v0, v0) |  ? [v2] : ((m2_relset_1(v2, v0, v0) & v1_group_6(v2, all_0_18_18, all_0_18_18) & v1_funct_2(v2, v0, v0) & v1_funct_1(v2) & ( ~ v3_group_6(v2, all_0_18_18, all_0_18_18) |  ~ v2_funct_1(v2) |  ~ r2_hidden(v2, v1)) & (r2_hidden(v2, v1) | (v3_group_6(v2, all_0_18_18, all_0_18_18) & v2_funct_1(v2)))) | (m2_fraenkel(v2, v0, v0, v1) & ( ~ m2_relset_1(v2, v0, v0) |  ~ v1_group_6(v2, all_0_18_18, all_0_18_18) |  ~ v1_funct_2(v2, v0, v0) |  ~ v1_funct_1(v2))))) &  ! [v1] : ( ~ v3_group_6(v1, all_0_18_18, all_0_18_18) |  ~ m2_relset_1(v1, v0, v0) |  ~ v1_group_6(v1, all_0_18_18, all_0_18_18) |  ~ m1_fraenkel(all_0_16_16, v0, v0) |  ~ v2_funct_1(v1) |  ~ v1_funct_2(v1, v0, v0) |  ~ v1_funct_1(v1) | r2_hidden(v1, all_0_16_16)) &  ! [v1] : ( ~ m2_relset_1(v1, v0, v0) |  ~ v1_group_6(v1, all_0_18_18, all_0_18_18) |  ~ m1_fraenkel(all_0_16_16, v0, v0) |  ~ v1_funct_2(v1, v0, v0) |  ~ v1_funct_1(v1) |  ~ r2_hidden(v1, all_0_16_16) | v3_group_6(v1, all_0_18_18, all_0_18_18)) &  ! [v1] : ( ~ m2_relset_1(v1, v0, v0) |  ~ v1_group_6(v1, all_0_18_18, all_0_18_18) |  ~ m1_fraenkel(all_0_16_16, v0, v0) |  ~ v1_funct_2(v1, v0, v0) |  ~ v1_funct_1(v1) |  ~ r2_hidden(v1, all_0_16_16) | v2_funct_1(v1)) &  ! [v1] : ( ~ m1_fraenkel(all_0_16_16, v0, v0) |  ~ m2_fraenkel(v1, v0, v0, all_0_16_16) | m2_relset_1(v1, v0, v0)) &  ! [v1] : ( ~ m1_fraenkel(all_0_16_16, v0, v0) |  ~ m2_fraenkel(v1, v0, v0, all_0_16_16) | v1_group_6(v1, all_0_18_18, all_0_18_18)) &  ! [v1] : ( ~ m1_fraenkel(all_0_16_16, v0, v0) |  ~ m2_fraenkel(v1, v0, v0, all_0_16_16) | v1_funct_2(v1, v0, v0)) &  ! [v1] : ( ~ m1_fraenkel(all_0_16_16, v0, v0) |  ~ m2_fraenkel(v1, v0, v0, all_0_16_16) | v1_funct_1(v1)))
% 22.79/6.23  |
% 22.79/6.23  | Instantiating formula (26) with all_0_16_16, all_0_18_18 and discharging atoms k1_autgroup(all_0_18_18) = all_0_16_16, l1_group_1(all_0_18_18), v4_group_1(all_0_18_18), v3_group_1(all_0_18_18), v1_group_1(all_0_18_18),  ~ v3_struct_0(all_0_18_18), yields:
% 22.79/6.23  | (128)  ? [v0] : (u1_struct_0(all_0_18_18) = v0 &  ! [v1] : ( ~ v4_group_6(v1, all_0_18_18, all_0_18_18) |  ~ m2_relset_1(v1, v0, v0) |  ~ v1_group_6(v1, all_0_18_18, all_0_18_18) |  ~ v1_funct_2(v1, v0, v0) |  ~ v1_funct_1(v1) | r2_hidden(v1, all_0_16_16)) &  ! [v1] : ( ~ m2_relset_1(v1, v0, v0) |  ~ v1_group_6(v1, all_0_18_18, all_0_18_18) |  ~ v1_funct_2(v1, v0, v0) |  ~ v1_funct_1(v1) |  ~ r2_hidden(v1, all_0_16_16) | v4_group_6(v1, all_0_18_18, all_0_18_18)))
% 22.79/6.23  |
% 22.79/6.23  | Instantiating formula (64) with all_0_17_17, all_0_18_18 and discharging atoms u1_struct_0(all_0_18_18) = all_0_17_17, l1_group_1(all_0_18_18), v4_group_1(all_0_18_18), v3_group_1(all_0_18_18), v1_group_1(all_0_18_18),  ~ v3_struct_0(all_0_18_18), yields:
% 22.79/6.23  | (129)  ? [v0] : (k1_autgroup(all_0_18_18) = v0 & m1_fraenkel(v0, all_0_17_17, all_0_17_17))
% 22.79/6.23  |
% 22.79/6.23  | Instantiating formula (91) with all_0_17_17, all_0_18_18 and discharging atoms u1_struct_0(all_0_18_18) = all_0_17_17, l1_group_1(all_0_18_18), v4_group_1(all_0_18_18), v3_group_1(all_0_18_18), v1_group_1(all_0_18_18),  ~ v3_struct_0(all_0_18_18), yields:
% 22.79/6.23  | (130)  ? [v0] : (k1_autgroup(all_0_18_18) = v0 &  ! [v1] : (v1 = v0 |  ~ m1_fraenkel(v1, all_0_17_17, all_0_17_17) |  ? [v2] : ((m2_relset_1(v2, all_0_17_17, all_0_17_17) & v1_group_6(v2, all_0_18_18, all_0_18_18) & v1_funct_2(v2, all_0_17_17, all_0_17_17) & v1_funct_1(v2) & ( ~ v3_group_6(v2, all_0_18_18, all_0_18_18) |  ~ v2_funct_1(v2) |  ~ r2_hidden(v2, v1)) & (r2_hidden(v2, v1) | (v3_group_6(v2, all_0_18_18, all_0_18_18) & v2_funct_1(v2)))) | (m2_fraenkel(v2, all_0_17_17, all_0_17_17, v1) & ( ~ m2_relset_1(v2, all_0_17_17, all_0_17_17) |  ~ v1_group_6(v2, all_0_18_18, all_0_18_18) |  ~ v1_funct_2(v2, all_0_17_17, all_0_17_17) |  ~ v1_funct_1(v2))))) &  ! [v1] : ( ~ v3_group_6(v1, all_0_18_18, all_0_18_18) |  ~ m2_relset_1(v1, all_0_17_17, all_0_17_17) |  ~ v1_group_6(v1, all_0_18_18, all_0_18_18) |  ~ m1_fraenkel(v0, all_0_17_17, all_0_17_17) |  ~ v2_funct_1(v1) |  ~ v1_funct_2(v1, all_0_17_17, all_0_17_17) |  ~ v1_funct_1(v1) | r2_hidden(v1, v0)) &  ! [v1] : ( ~ m2_relset_1(v1, all_0_17_17, all_0_17_17) |  ~ v1_group_6(v1, all_0_18_18, all_0_18_18) |  ~ m1_fraenkel(v0, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v1, all_0_17_17, all_0_17_17) |  ~ v1_funct_1(v1) |  ~ r2_hidden(v1, v0) | v3_group_6(v1, all_0_18_18, all_0_18_18)) &  ! [v1] : ( ~ m2_relset_1(v1, all_0_17_17, all_0_17_17) |  ~ v1_group_6(v1, all_0_18_18, all_0_18_18) |  ~ m1_fraenkel(v0, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v1, all_0_17_17, all_0_17_17) |  ~ v1_funct_1(v1) |  ~ r2_hidden(v1, v0) | v2_funct_1(v1)) &  ! [v1] : ( ~ m1_fraenkel(v0, all_0_17_17, all_0_17_17) |  ~ m2_fraenkel(v1, all_0_17_17, all_0_17_17, v0) | m2_relset_1(v1, all_0_17_17, all_0_17_17)) &  ! [v1] : ( ~ m1_fraenkel(v0, all_0_17_17, all_0_17_17) |  ~ m2_fraenkel(v1, all_0_17_17, all_0_17_17, v0) | v1_group_6(v1, all_0_18_18, all_0_18_18)) &  ! [v1] : ( ~ m1_fraenkel(v0, all_0_17_17, all_0_17_17) |  ~ m2_fraenkel(v1, all_0_17_17, all_0_17_17, v0) | v1_funct_2(v1, all_0_17_17, all_0_17_17)) &  ! [v1] : ( ~ m1_fraenkel(v0, all_0_17_17, all_0_17_17) |  ~ m2_fraenkel(v1, all_0_17_17, all_0_17_17, v0) | v1_funct_1(v1)))
% 22.79/6.23  |
% 22.79/6.23  | Instantiating formula (120) with all_0_17_17, all_0_18_18 and discharging atoms u1_struct_0(all_0_18_18) = all_0_17_17, l1_group_1(all_0_18_18), v4_group_1(all_0_18_18), v3_group_1(all_0_18_18), v1_group_1(all_0_18_18),  ~ v3_struct_0(all_0_18_18), yields:
% 22.79/6.23  | (131)  ? [v0] : (k1_autgroup(all_0_18_18) = v0 &  ! [v1] : ( ~ v4_group_6(v1, all_0_18_18, all_0_18_18) |  ~ m2_relset_1(v1, all_0_17_17, all_0_17_17) |  ~ v1_group_6(v1, all_0_18_18, all_0_18_18) |  ~ v1_funct_2(v1, all_0_17_17, all_0_17_17) |  ~ v1_funct_1(v1) | r2_hidden(v1, v0)) &  ! [v1] : ( ~ m2_relset_1(v1, all_0_17_17, all_0_17_17) |  ~ v1_group_6(v1, all_0_18_18, all_0_18_18) |  ~ v1_funct_2(v1, all_0_17_17, all_0_17_17) |  ~ v1_funct_1(v1) |  ~ r2_hidden(v1, v0) | v4_group_6(v1, all_0_18_18, all_0_18_18)))
% 22.79/6.23  |
% 22.79/6.23  | Instantiating (128) with all_29_0_38 yields:
% 22.79/6.23  | (132) u1_struct_0(all_0_18_18) = all_29_0_38 &  ! [v0] : ( ~ v4_group_6(v0, all_0_18_18, all_0_18_18) |  ~ m2_relset_1(v0, all_29_0_38, all_29_0_38) |  ~ v1_group_6(v0, all_0_18_18, all_0_18_18) |  ~ v1_funct_2(v0, all_29_0_38, all_29_0_38) |  ~ v1_funct_1(v0) | r2_hidden(v0, all_0_16_16)) &  ! [v0] : ( ~ m2_relset_1(v0, all_29_0_38, all_29_0_38) |  ~ v1_group_6(v0, all_0_18_18, all_0_18_18) |  ~ v1_funct_2(v0, all_29_0_38, all_29_0_38) |  ~ v1_funct_1(v0) |  ~ r2_hidden(v0, all_0_16_16) | v4_group_6(v0, all_0_18_18, all_0_18_18))
% 22.79/6.23  |
% 22.79/6.23  | Applying alpha-rule on (132) yields:
% 22.79/6.23  | (133) u1_struct_0(all_0_18_18) = all_29_0_38
% 22.79/6.23  | (134)  ! [v0] : ( ~ v4_group_6(v0, all_0_18_18, all_0_18_18) |  ~ m2_relset_1(v0, all_29_0_38, all_29_0_38) |  ~ v1_group_6(v0, all_0_18_18, all_0_18_18) |  ~ v1_funct_2(v0, all_29_0_38, all_29_0_38) |  ~ v1_funct_1(v0) | r2_hidden(v0, all_0_16_16))
% 22.79/6.23  | (135)  ! [v0] : ( ~ m2_relset_1(v0, all_29_0_38, all_29_0_38) |  ~ v1_group_6(v0, all_0_18_18, all_0_18_18) |  ~ v1_funct_2(v0, all_29_0_38, all_29_0_38) |  ~ v1_funct_1(v0) |  ~ r2_hidden(v0, all_0_16_16) | v4_group_6(v0, all_0_18_18, all_0_18_18))
% 22.79/6.23  |
% 22.79/6.23  | Instantiating (124) with all_34_0_40, all_34_1_41 yields:
% 22.79/6.23  | (136) k2_zfmisc_1(all_0_17_17, all_0_17_17) = all_34_0_40 & u1_group_1(all_0_18_18) = all_34_1_41 & m2_relset_1(all_34_1_41, all_34_0_40, all_0_17_17) & v1_funct_2(all_34_1_41, all_34_0_40, all_0_17_17) & v1_funct_1(all_34_1_41)
% 22.79/6.23  |
% 22.79/6.23  | Applying alpha-rule on (136) yields:
% 22.79/6.23  | (137) v1_funct_1(all_34_1_41)
% 22.79/6.23  | (138) m2_relset_1(all_34_1_41, all_34_0_40, all_0_17_17)
% 22.79/6.23  | (139) v1_funct_2(all_34_1_41, all_34_0_40, all_0_17_17)
% 22.79/6.23  | (140) u1_group_1(all_0_18_18) = all_34_1_41
% 22.79/6.23  | (141) k2_zfmisc_1(all_0_17_17, all_0_17_17) = all_34_0_40
% 22.79/6.23  |
% 22.79/6.23  | Instantiating (131) with all_36_0_42 yields:
% 22.79/6.23  | (142) k1_autgroup(all_0_18_18) = all_36_0_42 &  ! [v0] : ( ~ v4_group_6(v0, all_0_18_18, all_0_18_18) |  ~ m2_relset_1(v0, all_0_17_17, all_0_17_17) |  ~ v1_group_6(v0, all_0_18_18, all_0_18_18) |  ~ v1_funct_2(v0, all_0_17_17, all_0_17_17) |  ~ v1_funct_1(v0) | r2_hidden(v0, all_36_0_42)) &  ! [v0] : ( ~ m2_relset_1(v0, all_0_17_17, all_0_17_17) |  ~ v1_group_6(v0, all_0_18_18, all_0_18_18) |  ~ v1_funct_2(v0, all_0_17_17, all_0_17_17) |  ~ v1_funct_1(v0) |  ~ r2_hidden(v0, all_36_0_42) | v4_group_6(v0, all_0_18_18, all_0_18_18))
% 22.79/6.23  |
% 22.79/6.23  | Applying alpha-rule on (142) yields:
% 22.79/6.23  | (143) k1_autgroup(all_0_18_18) = all_36_0_42
% 22.79/6.23  | (144)  ! [v0] : ( ~ v4_group_6(v0, all_0_18_18, all_0_18_18) |  ~ m2_relset_1(v0, all_0_17_17, all_0_17_17) |  ~ v1_group_6(v0, all_0_18_18, all_0_18_18) |  ~ v1_funct_2(v0, all_0_17_17, all_0_17_17) |  ~ v1_funct_1(v0) | r2_hidden(v0, all_36_0_42))
% 22.79/6.23  | (145)  ! [v0] : ( ~ m2_relset_1(v0, all_0_17_17, all_0_17_17) |  ~ v1_group_6(v0, all_0_18_18, all_0_18_18) |  ~ v1_funct_2(v0, all_0_17_17, all_0_17_17) |  ~ v1_funct_1(v0) |  ~ r2_hidden(v0, all_36_0_42) | v4_group_6(v0, all_0_18_18, all_0_18_18))
% 22.79/6.23  |
% 22.79/6.23  | Instantiating (130) with all_39_0_43 yields:
% 22.79/6.23  | (146) k1_autgroup(all_0_18_18) = all_39_0_43 &  ! [v0] : (v0 = all_39_0_43 |  ~ m1_fraenkel(v0, all_0_17_17, all_0_17_17) |  ? [v1] : ((m2_relset_1(v1, all_0_17_17, all_0_17_17) & v1_group_6(v1, all_0_18_18, all_0_18_18) & v1_funct_2(v1, all_0_17_17, all_0_17_17) & v1_funct_1(v1) & ( ~ v3_group_6(v1, all_0_18_18, all_0_18_18) |  ~ v2_funct_1(v1) |  ~ r2_hidden(v1, v0)) & (r2_hidden(v1, v0) | (v3_group_6(v1, all_0_18_18, all_0_18_18) & v2_funct_1(v1)))) | (m2_fraenkel(v1, all_0_17_17, all_0_17_17, v0) & ( ~ m2_relset_1(v1, all_0_17_17, all_0_17_17) |  ~ v1_group_6(v1, all_0_18_18, all_0_18_18) |  ~ v1_funct_2(v1, all_0_17_17, all_0_17_17) |  ~ v1_funct_1(v1))))) &  ! [v0] : ( ~ v3_group_6(v0, all_0_18_18, all_0_18_18) |  ~ m2_relset_1(v0, all_0_17_17, all_0_17_17) |  ~ v1_group_6(v0, all_0_18_18, all_0_18_18) |  ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17) |  ~ v2_funct_1(v0) |  ~ v1_funct_2(v0, all_0_17_17, all_0_17_17) |  ~ v1_funct_1(v0) | r2_hidden(v0, all_39_0_43)) &  ! [v0] : ( ~ m2_relset_1(v0, all_0_17_17, all_0_17_17) |  ~ v1_group_6(v0, all_0_18_18, all_0_18_18) |  ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v0, all_0_17_17, all_0_17_17) |  ~ v1_funct_1(v0) |  ~ r2_hidden(v0, all_39_0_43) | v3_group_6(v0, all_0_18_18, all_0_18_18)) &  ! [v0] : ( ~ m2_relset_1(v0, all_0_17_17, all_0_17_17) |  ~ v1_group_6(v0, all_0_18_18, all_0_18_18) |  ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v0, all_0_17_17, all_0_17_17) |  ~ v1_funct_1(v0) |  ~ r2_hidden(v0, all_39_0_43) | v2_funct_1(v0)) &  ! [v0] : ( ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17) |  ~ m2_fraenkel(v0, all_0_17_17, all_0_17_17, all_39_0_43) | m2_relset_1(v0, all_0_17_17, all_0_17_17)) &  ! [v0] : ( ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17) |  ~ m2_fraenkel(v0, all_0_17_17, all_0_17_17, all_39_0_43) | v1_group_6(v0, all_0_18_18, all_0_18_18)) &  ! [v0] : ( ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17) |  ~ m2_fraenkel(v0, all_0_17_17, all_0_17_17, all_39_0_43) | v1_funct_2(v0, all_0_17_17, all_0_17_17)) &  ! [v0] : ( ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17) |  ~ m2_fraenkel(v0, all_0_17_17, all_0_17_17, all_39_0_43) | v1_funct_1(v0))
% 22.79/6.23  |
% 22.79/6.23  | Applying alpha-rule on (146) yields:
% 22.79/6.23  | (147)  ! [v0] : ( ~ m2_relset_1(v0, all_0_17_17, all_0_17_17) |  ~ v1_group_6(v0, all_0_18_18, all_0_18_18) |  ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v0, all_0_17_17, all_0_17_17) |  ~ v1_funct_1(v0) |  ~ r2_hidden(v0, all_39_0_43) | v2_funct_1(v0))
% 22.79/6.23  | (148)  ! [v0] : ( ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17) |  ~ m2_fraenkel(v0, all_0_17_17, all_0_17_17, all_39_0_43) | v1_group_6(v0, all_0_18_18, all_0_18_18))
% 22.79/6.23  | (149) k1_autgroup(all_0_18_18) = all_39_0_43
% 22.79/6.23  | (150)  ! [v0] : ( ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17) |  ~ m2_fraenkel(v0, all_0_17_17, all_0_17_17, all_39_0_43) | m2_relset_1(v0, all_0_17_17, all_0_17_17))
% 22.79/6.23  | (151)  ! [v0] : ( ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17) |  ~ m2_fraenkel(v0, all_0_17_17, all_0_17_17, all_39_0_43) | v1_funct_2(v0, all_0_17_17, all_0_17_17))
% 22.79/6.23  | (152)  ! [v0] : ( ~ v3_group_6(v0, all_0_18_18, all_0_18_18) |  ~ m2_relset_1(v0, all_0_17_17, all_0_17_17) |  ~ v1_group_6(v0, all_0_18_18, all_0_18_18) |  ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17) |  ~ v2_funct_1(v0) |  ~ v1_funct_2(v0, all_0_17_17, all_0_17_17) |  ~ v1_funct_1(v0) | r2_hidden(v0, all_39_0_43))
% 22.79/6.23  | (153)  ! [v0] : (v0 = all_39_0_43 |  ~ m1_fraenkel(v0, all_0_17_17, all_0_17_17) |  ? [v1] : ((m2_relset_1(v1, all_0_17_17, all_0_17_17) & v1_group_6(v1, all_0_18_18, all_0_18_18) & v1_funct_2(v1, all_0_17_17, all_0_17_17) & v1_funct_1(v1) & ( ~ v3_group_6(v1, all_0_18_18, all_0_18_18) |  ~ v2_funct_1(v1) |  ~ r2_hidden(v1, v0)) & (r2_hidden(v1, v0) | (v3_group_6(v1, all_0_18_18, all_0_18_18) & v2_funct_1(v1)))) | (m2_fraenkel(v1, all_0_17_17, all_0_17_17, v0) & ( ~ m2_relset_1(v1, all_0_17_17, all_0_17_17) |  ~ v1_group_6(v1, all_0_18_18, all_0_18_18) |  ~ v1_funct_2(v1, all_0_17_17, all_0_17_17) |  ~ v1_funct_1(v1)))))
% 22.79/6.23  | (154)  ! [v0] : ( ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17) |  ~ m2_fraenkel(v0, all_0_17_17, all_0_17_17, all_39_0_43) | v1_funct_1(v0))
% 22.79/6.23  | (155)  ! [v0] : ( ~ m2_relset_1(v0, all_0_17_17, all_0_17_17) |  ~ v1_group_6(v0, all_0_18_18, all_0_18_18) |  ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17) |  ~ v1_funct_2(v0, all_0_17_17, all_0_17_17) |  ~ v1_funct_1(v0) |  ~ r2_hidden(v0, all_39_0_43) | v3_group_6(v0, all_0_18_18, all_0_18_18))
% 22.79/6.23  |
% 22.79/6.23  | Instantiating (129) with all_42_0_44 yields:
% 22.79/6.23  | (156) k1_autgroup(all_0_18_18) = all_42_0_44 & m1_fraenkel(all_42_0_44, all_0_17_17, all_0_17_17)
% 22.79/6.23  |
% 22.79/6.23  | Applying alpha-rule on (156) yields:
% 22.79/6.23  | (157) k1_autgroup(all_0_18_18) = all_42_0_44
% 22.79/6.23  | (158) m1_fraenkel(all_42_0_44, all_0_17_17, all_0_17_17)
% 22.79/6.23  |
% 22.79/6.23  | Instantiating (126) with all_44_0_45 yields:
% 22.79/6.23  | (159) u1_struct_0(all_0_18_18) = all_44_0_45 & m1_fraenkel(all_0_16_16, all_44_0_45, all_44_0_45)
% 22.79/6.23  |
% 22.79/6.23  | Applying alpha-rule on (159) yields:
% 22.79/6.23  | (160) u1_struct_0(all_0_18_18) = all_44_0_45
% 22.79/6.23  | (161) m1_fraenkel(all_0_16_16, all_44_0_45, all_44_0_45)
% 22.79/6.23  |
% 22.79/6.23  | Instantiating (127) with all_46_0_46 yields:
% 22.79/6.23  | (162) u1_struct_0(all_0_18_18) = all_46_0_46 &  ! [v0] : (v0 = all_0_16_16 |  ~ m1_fraenkel(v0, all_46_0_46, all_46_0_46) |  ? [v1] : ((m2_relset_1(v1, all_46_0_46, all_46_0_46) & v1_group_6(v1, all_0_18_18, all_0_18_18) & v1_funct_2(v1, all_46_0_46, all_46_0_46) & v1_funct_1(v1) & ( ~ v3_group_6(v1, all_0_18_18, all_0_18_18) |  ~ v2_funct_1(v1) |  ~ r2_hidden(v1, v0)) & (r2_hidden(v1, v0) | (v3_group_6(v1, all_0_18_18, all_0_18_18) & v2_funct_1(v1)))) | (m2_fraenkel(v1, all_46_0_46, all_46_0_46, v0) & ( ~ m2_relset_1(v1, all_46_0_46, all_46_0_46) |  ~ v1_group_6(v1, all_0_18_18, all_0_18_18) |  ~ v1_funct_2(v1, all_46_0_46, all_46_0_46) |  ~ v1_funct_1(v1))))) &  ! [v0] : ( ~ v3_group_6(v0, all_0_18_18, all_0_18_18) |  ~ m2_relset_1(v0, all_46_0_46, all_46_0_46) |  ~ v1_group_6(v0, all_0_18_18, all_0_18_18) |  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ v2_funct_1(v0) |  ~ v1_funct_2(v0, all_46_0_46, all_46_0_46) |  ~ v1_funct_1(v0) | r2_hidden(v0, all_0_16_16)) &  ! [v0] : ( ~ m2_relset_1(v0, all_46_0_46, all_46_0_46) |  ~ v1_group_6(v0, all_0_18_18, all_0_18_18) |  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ v1_funct_2(v0, all_46_0_46, all_46_0_46) |  ~ v1_funct_1(v0) |  ~ r2_hidden(v0, all_0_16_16) | v3_group_6(v0, all_0_18_18, all_0_18_18)) &  ! [v0] : ( ~ m2_relset_1(v0, all_46_0_46, all_46_0_46) |  ~ v1_group_6(v0, all_0_18_18, all_0_18_18) |  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ v1_funct_2(v0, all_46_0_46, all_46_0_46) |  ~ v1_funct_1(v0) |  ~ r2_hidden(v0, all_0_16_16) | v2_funct_1(v0)) &  ! [v0] : ( ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ m2_fraenkel(v0, all_46_0_46, all_46_0_46, all_0_16_16) | m2_relset_1(v0, all_46_0_46, all_46_0_46)) &  ! [v0] : ( ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ m2_fraenkel(v0, all_46_0_46, all_46_0_46, all_0_16_16) | v1_group_6(v0, all_0_18_18, all_0_18_18)) &  ! [v0] : ( ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ m2_fraenkel(v0, all_46_0_46, all_46_0_46, all_0_16_16) | v1_funct_2(v0, all_46_0_46, all_46_0_46)) &  ! [v0] : ( ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ m2_fraenkel(v0, all_46_0_46, all_46_0_46, all_0_16_16) | v1_funct_1(v0))
% 22.79/6.24  |
% 22.79/6.24  | Applying alpha-rule on (162) yields:
% 22.79/6.24  | (163)  ! [v0] : ( ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ m2_fraenkel(v0, all_46_0_46, all_46_0_46, all_0_16_16) | v1_funct_2(v0, all_46_0_46, all_46_0_46))
% 22.79/6.24  | (164) u1_struct_0(all_0_18_18) = all_46_0_46
% 22.79/6.24  | (165)  ! [v0] : ( ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ m2_fraenkel(v0, all_46_0_46, all_46_0_46, all_0_16_16) | v1_group_6(v0, all_0_18_18, all_0_18_18))
% 22.79/6.24  | (166)  ! [v0] : ( ~ m2_relset_1(v0, all_46_0_46, all_46_0_46) |  ~ v1_group_6(v0, all_0_18_18, all_0_18_18) |  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ v1_funct_2(v0, all_46_0_46, all_46_0_46) |  ~ v1_funct_1(v0) |  ~ r2_hidden(v0, all_0_16_16) | v2_funct_1(v0))
% 22.79/6.24  | (167)  ! [v0] : ( ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ m2_fraenkel(v0, all_46_0_46, all_46_0_46, all_0_16_16) | v1_funct_1(v0))
% 22.79/6.24  | (168)  ! [v0] : ( ~ m2_relset_1(v0, all_46_0_46, all_46_0_46) |  ~ v1_group_6(v0, all_0_18_18, all_0_18_18) |  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ v1_funct_2(v0, all_46_0_46, all_46_0_46) |  ~ v1_funct_1(v0) |  ~ r2_hidden(v0, all_0_16_16) | v3_group_6(v0, all_0_18_18, all_0_18_18))
% 22.79/6.24  | (169)  ! [v0] : (v0 = all_0_16_16 |  ~ m1_fraenkel(v0, all_46_0_46, all_46_0_46) |  ? [v1] : ((m2_relset_1(v1, all_46_0_46, all_46_0_46) & v1_group_6(v1, all_0_18_18, all_0_18_18) & v1_funct_2(v1, all_46_0_46, all_46_0_46) & v1_funct_1(v1) & ( ~ v3_group_6(v1, all_0_18_18, all_0_18_18) |  ~ v2_funct_1(v1) |  ~ r2_hidden(v1, v0)) & (r2_hidden(v1, v0) | (v3_group_6(v1, all_0_18_18, all_0_18_18) & v2_funct_1(v1)))) | (m2_fraenkel(v1, all_46_0_46, all_46_0_46, v0) & ( ~ m2_relset_1(v1, all_46_0_46, all_46_0_46) |  ~ v1_group_6(v1, all_0_18_18, all_0_18_18) |  ~ v1_funct_2(v1, all_46_0_46, all_46_0_46) |  ~ v1_funct_1(v1)))))
% 22.79/6.24  | (170)  ! [v0] : ( ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ m2_fraenkel(v0, all_46_0_46, all_46_0_46, all_0_16_16) | m2_relset_1(v0, all_46_0_46, all_46_0_46))
% 22.79/6.24  | (171)  ! [v0] : ( ~ v3_group_6(v0, all_0_18_18, all_0_18_18) |  ~ m2_relset_1(v0, all_46_0_46, all_46_0_46) |  ~ v1_group_6(v0, all_0_18_18, all_0_18_18) |  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ v2_funct_1(v0) |  ~ v1_funct_2(v0, all_46_0_46, all_46_0_46) |  ~ v1_funct_1(v0) | r2_hidden(v0, all_0_16_16))
% 22.79/6.24  |
% 22.79/6.24  | Instantiating formula (118) with all_0_18_18, all_42_0_44, all_0_16_16 and discharging atoms k1_autgroup(all_0_18_18) = all_42_0_44, k1_autgroup(all_0_18_18) = all_0_16_16, yields:
% 22.79/6.24  | (172) all_42_0_44 = all_0_16_16
% 22.79/6.24  |
% 22.79/6.24  | Instantiating formula (118) with all_0_18_18, all_39_0_43, all_42_0_44 and discharging atoms k1_autgroup(all_0_18_18) = all_42_0_44, k1_autgroup(all_0_18_18) = all_39_0_43, yields:
% 22.79/6.24  | (173) all_42_0_44 = all_39_0_43
% 22.79/6.24  |
% 22.79/6.24  | Instantiating formula (118) with all_0_18_18, all_36_0_42, all_42_0_44 and discharging atoms k1_autgroup(all_0_18_18) = all_42_0_44, k1_autgroup(all_0_18_18) = all_36_0_42, yields:
% 22.79/6.24  | (174) all_42_0_44 = all_36_0_42
% 22.79/6.24  |
% 22.79/6.24  | Instantiating formula (37) with all_0_18_18, all_44_0_45, all_0_17_17 and discharging atoms u1_struct_0(all_0_18_18) = all_44_0_45, u1_struct_0(all_0_18_18) = all_0_17_17, yields:
% 22.79/6.24  | (175) all_44_0_45 = all_0_17_17
% 22.79/6.24  |
% 22.79/6.24  | Instantiating formula (37) with all_0_18_18, all_44_0_45, all_46_0_46 and discharging atoms u1_struct_0(all_0_18_18) = all_46_0_46, u1_struct_0(all_0_18_18) = all_44_0_45, yields:
% 22.79/6.24  | (176) all_46_0_46 = all_44_0_45
% 22.79/6.24  |
% 22.79/6.24  | Instantiating formula (37) with all_0_18_18, all_29_0_38, all_46_0_46 and discharging atoms u1_struct_0(all_0_18_18) = all_46_0_46, u1_struct_0(all_0_18_18) = all_29_0_38, yields:
% 22.79/6.24  | (177) all_46_0_46 = all_29_0_38
% 22.79/6.24  |
% 22.79/6.24  | Combining equations (176,177) yields a new equation:
% 22.79/6.24  | (178) all_44_0_45 = all_29_0_38
% 22.79/6.24  |
% 22.79/6.24  | Simplifying 178 yields:
% 22.79/6.24  | (179) all_44_0_45 = all_29_0_38
% 22.79/6.24  |
% 22.79/6.24  | Combining equations (175,179) yields a new equation:
% 22.79/6.24  | (180) all_29_0_38 = all_0_17_17
% 22.79/6.24  |
% 22.79/6.24  | Combining equations (172,173) yields a new equation:
% 22.79/6.24  | (181) all_39_0_43 = all_0_16_16
% 22.79/6.24  |
% 22.79/6.24  | Combining equations (174,173) yields a new equation:
% 22.79/6.24  | (182) all_39_0_43 = all_36_0_42
% 22.79/6.24  |
% 22.79/6.24  | Combining equations (182,181) yields a new equation:
% 22.79/6.24  | (183) all_36_0_42 = all_0_16_16
% 22.79/6.24  |
% 22.79/6.24  | Simplifying 183 yields:
% 22.79/6.24  | (184) all_36_0_42 = all_0_16_16
% 22.79/6.24  |
% 22.79/6.24  | Combining equations (180,179) yields a new equation:
% 22.79/6.24  | (175) all_44_0_45 = all_0_17_17
% 22.79/6.24  |
% 22.79/6.24  | Combining equations (180,177) yields a new equation:
% 22.79/6.24  | (186) all_46_0_46 = all_0_17_17
% 22.79/6.24  |
% 22.79/6.24  | From (180) and (133) follows:
% 22.79/6.24  | (95) u1_struct_0(all_0_18_18) = all_0_17_17
% 22.79/6.24  |
% 22.79/6.24  | From (175)(175) and (161) follows:
% 22.79/6.24  | (188) m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.24  |
% 22.79/6.24  | Instantiating formula (4) with all_34_1_41, all_0_17_17, all_34_0_40 and discharging atoms m2_relset_1(all_34_1_41, all_34_0_40, all_0_17_17), yields:
% 22.79/6.24  | (189) m1_relset_1(all_34_1_41, all_34_0_40, all_0_17_17)
% 22.79/6.24  |
% 22.79/6.24  | Instantiating formula (39) with all_0_14_14, all_0_16_16, all_0_17_17, all_0_17_17 and discharging atoms m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17), m2_fraenkel(all_0_14_14, all_0_17_17, all_0_17_17, all_0_16_16), yields:
% 22.79/6.24  | (190) v1_xboole_0(all_0_17_17) | m1_subset_1(all_0_14_14, all_0_16_16)
% 22.79/6.24  |
% 22.79/6.24  | Instantiating formula (39) with all_0_15_15, all_0_16_16, all_0_17_17, all_0_17_17 and discharging atoms m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17), m2_fraenkel(all_0_15_15, all_0_17_17, all_0_17_17, all_0_16_16), yields:
% 22.79/6.24  | (191) v1_xboole_0(all_0_17_17) | m1_subset_1(all_0_15_15, all_0_16_16)
% 22.79/6.24  |
% 22.79/6.24  | Instantiating formula (150) with all_0_14_14 yields:
% 22.79/6.24  | (192)  ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17) |  ~ m2_fraenkel(all_0_14_14, all_0_17_17, all_0_17_17, all_39_0_43) | m2_relset_1(all_0_14_14, all_0_17_17, all_0_17_17)
% 22.79/6.24  |
% 22.79/6.24  | Instantiating formula (148) with all_0_14_14 yields:
% 22.79/6.24  | (193)  ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17) |  ~ m2_fraenkel(all_0_14_14, all_0_17_17, all_0_17_17, all_39_0_43) | v1_group_6(all_0_14_14, all_0_18_18, all_0_18_18)
% 22.79/6.24  |
% 22.79/6.24  | Instantiating formula (151) with all_0_14_14 yields:
% 22.79/6.24  | (194)  ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17) |  ~ m2_fraenkel(all_0_14_14, all_0_17_17, all_0_17_17, all_39_0_43) | v1_funct_2(all_0_14_14, all_0_17_17, all_0_17_17)
% 22.79/6.24  |
% 22.79/6.24  | Instantiating formula (150) with all_0_15_15 yields:
% 22.79/6.24  | (195)  ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17) |  ~ m2_fraenkel(all_0_15_15, all_0_17_17, all_0_17_17, all_39_0_43) | m2_relset_1(all_0_15_15, all_0_17_17, all_0_17_17)
% 22.79/6.24  |
% 22.79/6.24  | Instantiating formula (148) with all_0_15_15 yields:
% 22.79/6.24  | (196)  ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17) |  ~ m2_fraenkel(all_0_15_15, all_0_17_17, all_0_17_17, all_39_0_43) | v1_group_6(all_0_15_15, all_0_18_18, all_0_18_18)
% 22.79/6.24  |
% 22.79/6.24  | Instantiating formula (165) with all_0_14_14 yields:
% 22.79/6.24  | (197)  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ m2_fraenkel(all_0_14_14, all_46_0_46, all_46_0_46, all_0_16_16) | v1_group_6(all_0_14_14, all_0_18_18, all_0_18_18)
% 22.79/6.24  |
% 22.79/6.24  | Instantiating formula (163) with all_0_14_14 yields:
% 22.79/6.24  | (198)  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ m2_fraenkel(all_0_14_14, all_46_0_46, all_46_0_46, all_0_16_16) | v1_funct_2(all_0_14_14, all_46_0_46, all_46_0_46)
% 22.79/6.24  |
% 22.79/6.24  | Instantiating formula (167) with all_0_14_14 yields:
% 22.79/6.24  | (199)  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ m2_fraenkel(all_0_14_14, all_46_0_46, all_46_0_46, all_0_16_16) | v1_funct_1(all_0_14_14)
% 22.79/6.24  |
% 22.79/6.24  | Instantiating formula (170) with all_0_15_15 yields:
% 22.79/6.24  | (200)  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ m2_fraenkel(all_0_15_15, all_46_0_46, all_46_0_46, all_0_16_16) | m2_relset_1(all_0_15_15, all_46_0_46, all_46_0_46)
% 22.79/6.24  |
% 22.79/6.24  | Instantiating formula (163) with all_0_15_15 yields:
% 22.79/6.24  | (201)  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ m2_fraenkel(all_0_15_15, all_46_0_46, all_46_0_46, all_0_16_16) | v1_funct_2(all_0_15_15, all_46_0_46, all_46_0_46)
% 22.79/6.24  |
% 22.79/6.24  | Instantiating formula (167) with all_0_15_15 yields:
% 22.79/6.24  | (202)  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ m2_fraenkel(all_0_15_15, all_46_0_46, all_46_0_46, all_0_16_16) | v1_funct_1(all_0_15_15)
% 22.79/6.24  |
% 22.79/6.24  | Instantiating formula (46) with all_0_16_16, all_0_17_17, all_0_17_17 and discharging atoms m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17), yields:
% 22.79/6.24  | (203) v1_xboole_0(all_0_17_17) |  ? [v0] : m2_fraenkel(v0, all_0_17_17, all_0_17_17, all_0_16_16)
% 22.79/6.24  |
% 22.79/6.24  +-Applying beta-rule and splitting (192), into two cases.
% 22.79/6.24  |-Branch one:
% 22.79/6.24  | (204)  ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17)
% 22.79/6.24  |
% 22.79/6.24  	| From (181) and (204) follows:
% 22.79/6.24  	| (205)  ~ m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.24  	|
% 22.79/6.24  	| Using (188) and (205) yields:
% 22.79/6.24  	| (206) $false
% 22.79/6.24  	|
% 22.79/6.24  	|-The branch is then unsatisfiable
% 22.79/6.24  |-Branch two:
% 22.79/6.24  | (207) m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17)
% 22.79/6.24  | (208)  ~ m2_fraenkel(all_0_14_14, all_0_17_17, all_0_17_17, all_39_0_43) | m2_relset_1(all_0_14_14, all_0_17_17, all_0_17_17)
% 22.79/6.24  |
% 22.79/6.24  	| From (181) and (207) follows:
% 22.79/6.24  	| (188) m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.24  	|
% 22.79/6.24  	+-Applying beta-rule and splitting (208), into two cases.
% 22.79/6.24  	|-Branch one:
% 22.79/6.24  	| (210)  ~ m2_fraenkel(all_0_14_14, all_0_17_17, all_0_17_17, all_39_0_43)
% 22.79/6.24  	|
% 22.79/6.24  		| From (181) and (210) follows:
% 22.79/6.24  		| (211)  ~ m2_fraenkel(all_0_14_14, all_0_17_17, all_0_17_17, all_0_16_16)
% 22.79/6.24  		|
% 22.79/6.24  		| Using (56) and (211) yields:
% 22.79/6.24  		| (206) $false
% 22.79/6.24  		|
% 22.79/6.24  		|-The branch is then unsatisfiable
% 22.79/6.24  	|-Branch two:
% 22.79/6.24  	| (213) m2_fraenkel(all_0_14_14, all_0_17_17, all_0_17_17, all_39_0_43)
% 22.79/6.24  	| (214) m2_relset_1(all_0_14_14, all_0_17_17, all_0_17_17)
% 22.79/6.24  	|
% 22.79/6.24  		| From (181) and (213) follows:
% 22.79/6.24  		| (56) m2_fraenkel(all_0_14_14, all_0_17_17, all_0_17_17, all_0_16_16)
% 22.79/6.24  		|
% 22.79/6.24  		+-Applying beta-rule and splitting (202), into two cases.
% 22.79/6.24  		|-Branch one:
% 22.79/6.24  		| (216) v1_funct_1(all_0_15_15)
% 22.79/6.24  		|
% 22.79/6.24  			+-Applying beta-rule and splitting (199), into two cases.
% 22.79/6.24  			|-Branch one:
% 22.79/6.24  			| (217) v1_funct_1(all_0_14_14)
% 22.79/6.24  			|
% 22.79/6.24  				+-Applying beta-rule and splitting (201), into two cases.
% 22.79/6.24  				|-Branch one:
% 22.79/6.24  				| (218) v1_funct_2(all_0_15_15, all_46_0_46, all_46_0_46)
% 22.79/6.24  				|
% 22.79/6.24  					| From (186)(186) and (218) follows:
% 22.79/6.24  					| (219) v1_funct_2(all_0_15_15, all_0_17_17, all_0_17_17)
% 22.79/6.24  					|
% 22.79/6.24  					+-Applying beta-rule and splitting (198), into two cases.
% 22.79/6.24  					|-Branch one:
% 22.79/6.24  					| (220) v1_funct_2(all_0_14_14, all_46_0_46, all_46_0_46)
% 22.79/6.24  					|
% 22.79/6.24  						| From (186)(186) and (220) follows:
% 22.79/6.24  						| (221) v1_funct_2(all_0_14_14, all_0_17_17, all_0_17_17)
% 22.79/6.24  						|
% 22.79/6.24  						+-Applying beta-rule and splitting (195), into two cases.
% 22.79/6.24  						|-Branch one:
% 22.79/6.24  						| (204)  ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17)
% 22.79/6.24  						|
% 22.79/6.24  							| From (181) and (204) follows:
% 22.79/6.24  							| (205)  ~ m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.24  							|
% 22.79/6.24  							| Using (188) and (205) yields:
% 22.79/6.24  							| (206) $false
% 22.79/6.24  							|
% 22.79/6.24  							|-The branch is then unsatisfiable
% 22.79/6.24  						|-Branch two:
% 22.79/6.24  						| (207) m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17)
% 22.79/6.24  						| (226)  ~ m2_fraenkel(all_0_15_15, all_0_17_17, all_0_17_17, all_39_0_43) | m2_relset_1(all_0_15_15, all_0_17_17, all_0_17_17)
% 22.79/6.24  						|
% 22.79/6.24  							| From (181) and (207) follows:
% 22.79/6.24  							| (188) m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.24  							|
% 22.79/6.24  							+-Applying beta-rule and splitting (196), into two cases.
% 22.79/6.24  							|-Branch one:
% 22.79/6.24  							| (204)  ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17)
% 22.79/6.24  							|
% 22.79/6.24  								| From (181) and (204) follows:
% 22.79/6.25  								| (205)  ~ m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.25  								|
% 22.79/6.25  								| Using (188) and (205) yields:
% 22.79/6.25  								| (206) $false
% 22.79/6.25  								|
% 22.79/6.25  								|-The branch is then unsatisfiable
% 22.79/6.25  							|-Branch two:
% 22.79/6.25  							| (207) m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17)
% 22.79/6.25  							| (232)  ~ m2_fraenkel(all_0_15_15, all_0_17_17, all_0_17_17, all_39_0_43) | v1_group_6(all_0_15_15, all_0_18_18, all_0_18_18)
% 22.79/6.25  							|
% 22.79/6.25  								| From (181) and (207) follows:
% 22.79/6.25  								| (188) m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.25  								|
% 22.79/6.25  								+-Applying beta-rule and splitting (200), into two cases.
% 22.79/6.25  								|-Branch one:
% 22.79/6.25  								| (234)  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46)
% 22.79/6.25  								|
% 22.79/6.25  									| From (186)(186) and (234) follows:
% 22.79/6.25  									| (205)  ~ m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.25  									|
% 22.79/6.25  									| Using (188) and (205) yields:
% 22.79/6.25  									| (206) $false
% 22.79/6.25  									|
% 22.79/6.25  									|-The branch is then unsatisfiable
% 22.79/6.25  								|-Branch two:
% 22.79/6.25  								| (237) m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46)
% 22.79/6.25  								| (238)  ~ m2_fraenkel(all_0_15_15, all_46_0_46, all_46_0_46, all_0_16_16) | m2_relset_1(all_0_15_15, all_46_0_46, all_46_0_46)
% 22.79/6.25  								|
% 22.79/6.25  									| From (186)(186) and (237) follows:
% 22.79/6.25  									| (188) m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.25  									|
% 22.79/6.25  									+-Applying beta-rule and splitting (232), into two cases.
% 22.79/6.25  									|-Branch one:
% 22.79/6.25  									| (240)  ~ m2_fraenkel(all_0_15_15, all_0_17_17, all_0_17_17, all_39_0_43)
% 22.79/6.25  									|
% 22.79/6.25  										| From (181) and (240) follows:
% 22.79/6.25  										| (241)  ~ m2_fraenkel(all_0_15_15, all_0_17_17, all_0_17_17, all_0_16_16)
% 22.79/6.25  										|
% 22.79/6.25  										| Using (55) and (241) yields:
% 22.79/6.25  										| (206) $false
% 22.79/6.25  										|
% 22.79/6.25  										|-The branch is then unsatisfiable
% 22.79/6.25  									|-Branch two:
% 22.79/6.25  									| (243) m2_fraenkel(all_0_15_15, all_0_17_17, all_0_17_17, all_39_0_43)
% 22.79/6.25  									| (244) v1_group_6(all_0_15_15, all_0_18_18, all_0_18_18)
% 22.79/6.25  									|
% 22.79/6.25  										| From (181) and (243) follows:
% 22.79/6.25  										| (55) m2_fraenkel(all_0_15_15, all_0_17_17, all_0_17_17, all_0_16_16)
% 22.79/6.25  										|
% 22.79/6.25  										+-Applying beta-rule and splitting (238), into two cases.
% 22.79/6.25  										|-Branch one:
% 22.79/6.25  										| (246)  ~ m2_fraenkel(all_0_15_15, all_46_0_46, all_46_0_46, all_0_16_16)
% 22.79/6.25  										|
% 22.79/6.25  											| From (186)(186) and (246) follows:
% 22.79/6.25  											| (241)  ~ m2_fraenkel(all_0_15_15, all_0_17_17, all_0_17_17, all_0_16_16)
% 22.79/6.25  											|
% 22.79/6.25  											| Using (55) and (241) yields:
% 22.79/6.25  											| (206) $false
% 22.79/6.25  											|
% 22.79/6.25  											|-The branch is then unsatisfiable
% 22.79/6.25  										|-Branch two:
% 22.79/6.25  										| (249) m2_fraenkel(all_0_15_15, all_46_0_46, all_46_0_46, all_0_16_16)
% 22.79/6.25  										| (250) m2_relset_1(all_0_15_15, all_46_0_46, all_46_0_46)
% 22.79/6.25  										|
% 22.79/6.25  											| From (186)(186) and (250) follows:
% 22.79/6.25  											| (251) m2_relset_1(all_0_15_15, all_0_17_17, all_0_17_17)
% 22.79/6.25  											|
% 22.79/6.25  											+-Applying beta-rule and splitting (193), into two cases.
% 22.79/6.25  											|-Branch one:
% 22.79/6.25  											| (204)  ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17)
% 22.79/6.25  											|
% 22.79/6.25  												| From (181) and (204) follows:
% 22.79/6.25  												| (205)  ~ m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.25  												|
% 22.79/6.25  												| Using (188) and (205) yields:
% 22.79/6.25  												| (206) $false
% 22.79/6.25  												|
% 22.79/6.25  												|-The branch is then unsatisfiable
% 22.79/6.25  											|-Branch two:
% 22.79/6.25  											| (207) m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17)
% 22.79/6.25  											| (256)  ~ m2_fraenkel(all_0_14_14, all_0_17_17, all_0_17_17, all_39_0_43) | v1_group_6(all_0_14_14, all_0_18_18, all_0_18_18)
% 22.79/6.25  											|
% 22.79/6.25  												| From (181) and (207) follows:
% 22.79/6.25  												| (188) m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.25  												|
% 22.79/6.25  												+-Applying beta-rule and splitting (197), into two cases.
% 22.79/6.25  												|-Branch one:
% 22.79/6.25  												| (234)  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46)
% 22.79/6.25  												|
% 22.79/6.25  													| From (186)(186) and (234) follows:
% 22.79/6.25  													| (205)  ~ m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.25  													|
% 22.79/6.25  													| Using (188) and (205) yields:
% 22.79/6.25  													| (206) $false
% 22.79/6.25  													|
% 22.79/6.25  													|-The branch is then unsatisfiable
% 22.79/6.25  												|-Branch two:
% 22.79/6.25  												| (237) m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46)
% 22.79/6.25  												| (262)  ~ m2_fraenkel(all_0_14_14, all_46_0_46, all_46_0_46, all_0_16_16) | v1_group_6(all_0_14_14, all_0_18_18, all_0_18_18)
% 22.79/6.25  												|
% 22.79/6.25  													| From (186)(186) and (237) follows:
% 22.79/6.25  													| (188) m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.25  													|
% 22.79/6.25  													+-Applying beta-rule and splitting (256), into two cases.
% 22.79/6.25  													|-Branch one:
% 22.79/6.25  													| (210)  ~ m2_fraenkel(all_0_14_14, all_0_17_17, all_0_17_17, all_39_0_43)
% 22.79/6.25  													|
% 22.79/6.25  														| From (181) and (210) follows:
% 22.79/6.25  														| (211)  ~ m2_fraenkel(all_0_14_14, all_0_17_17, all_0_17_17, all_0_16_16)
% 22.79/6.25  														|
% 22.79/6.25  														| Using (56) and (211) yields:
% 22.79/6.25  														| (206) $false
% 22.79/6.25  														|
% 22.79/6.25  														|-The branch is then unsatisfiable
% 22.79/6.25  													|-Branch two:
% 22.79/6.25  													| (213) m2_fraenkel(all_0_14_14, all_0_17_17, all_0_17_17, all_39_0_43)
% 22.79/6.25  													| (268) v1_group_6(all_0_14_14, all_0_18_18, all_0_18_18)
% 22.79/6.25  													|
% 22.79/6.25  														| Instantiating formula (4) with all_0_14_14, all_0_17_17, all_0_17_17 and discharging atoms m2_relset_1(all_0_14_14, all_0_17_17, all_0_17_17), yields:
% 22.79/6.25  														| (269) m1_relset_1(all_0_14_14, all_0_17_17, all_0_17_17)
% 22.79/6.25  														|
% 22.79/6.25  														| Instantiating formula (4) with all_0_15_15, all_0_17_17, all_0_17_17 and discharging atoms m2_relset_1(all_0_15_15, all_0_17_17, all_0_17_17), yields:
% 22.79/6.25  														| (270) m1_relset_1(all_0_15_15, all_0_17_17, all_0_17_17)
% 22.79/6.25  														|
% 22.79/6.25  														| Instantiating formula (88) with all_34_1_41, all_0_17_17, all_34_0_40 and discharging atoms v1_funct_2(all_34_1_41, all_34_0_40, all_0_17_17), m1_relset_1(all_34_1_41, all_34_0_40, all_0_17_17), v1_funct_1(all_34_1_41), yields:
% 22.79/6.25  														| (271) v1_partfun1(all_34_1_41, all_34_0_40, all_0_17_17) | v1_xboole_0(all_0_17_17)
% 22.79/6.25  														|
% 22.79/6.25  														| Instantiating formula (19) with all_0_14_14, all_0_17_17, all_0_17_17 and discharging atoms v1_funct_2(all_0_14_14, all_0_17_17, all_0_17_17), m1_relset_1(all_0_14_14, all_0_17_17, all_0_17_17), v1_funct_1(all_0_14_14), yields:
% 22.79/6.25  														| (272) v1_partfun1(all_0_14_14, all_0_17_17, all_0_17_17) | v1_xboole_0(all_0_17_17)
% 22.79/6.25  														|
% 22.79/6.25  														| Instantiating formula (75) with all_0_13_13, all_0_15_15, all_0_14_14, all_0_17_17, all_0_17_17, all_0_17_17 and discharging atoms k7_funct_2(all_0_17_17, all_0_17_17, all_0_17_17, all_0_14_14, all_0_15_15) = all_0_13_13, v1_funct_2(all_0_14_14, all_0_17_17, all_0_17_17), v1_funct_2(all_0_15_15, all_0_17_17, all_0_17_17), m1_relset_1(all_0_14_14, all_0_17_17, all_0_17_17), m1_relset_1(all_0_15_15, all_0_17_17, all_0_17_17), v1_funct_1(all_0_14_14), v1_funct_1(all_0_15_15), yields:
% 22.79/6.25  														| (273) k5_relat_1(all_0_14_14, all_0_15_15) = all_0_13_13 | v1_xboole_0(all_0_17_17)
% 22.79/6.25  														|
% 22.79/6.25  														| Instantiating formula (17) with all_0_13_13, all_0_15_15, all_0_14_14, all_0_17_17, all_0_17_17, all_0_17_17 and discharging atoms k7_funct_2(all_0_17_17, all_0_17_17, all_0_17_17, all_0_14_14, all_0_15_15) = all_0_13_13, v1_funct_2(all_0_14_14, all_0_17_17, all_0_17_17), v1_funct_2(all_0_15_15, all_0_17_17, all_0_17_17), m1_relset_1(all_0_14_14, all_0_17_17, all_0_17_17), m1_relset_1(all_0_15_15, all_0_17_17, all_0_17_17), v1_funct_1(all_0_14_14), v1_funct_1(all_0_15_15), yields:
% 22.79/6.25  														| (274) m2_relset_1(all_0_13_13, all_0_17_17, all_0_17_17) | v1_xboole_0(all_0_17_17)
% 22.79/6.25  														|
% 22.79/6.25  														| Instantiating formula (19) with all_0_15_15, all_0_17_17, all_0_17_17 and discharging atoms v1_funct_2(all_0_15_15, all_0_17_17, all_0_17_17), m1_relset_1(all_0_15_15, all_0_17_17, all_0_17_17), v1_funct_1(all_0_15_15), yields:
% 22.79/6.25  														| (275) v1_partfun1(all_0_15_15, all_0_17_17, all_0_17_17) | v1_xboole_0(all_0_17_17)
% 22.79/6.25  														|
% 22.79/6.25  														+-Applying beta-rule and splitting (190), into two cases.
% 22.79/6.25  														|-Branch one:
% 22.79/6.25  														| (276) v1_xboole_0(all_0_17_17)
% 22.79/6.25  														|
% 22.79/6.25  															| Instantiating formula (100) with all_0_17_17 and discharging atoms v1_xboole_0(all_0_17_17), yields:
% 22.79/6.25  															| (277) all_0_17_17 = k1_xboole_0
% 22.79/6.25  															|
% 22.79/6.25  															| From (277) and (95) follows:
% 22.79/6.25  															| (278) u1_struct_0(all_0_18_18) = k1_xboole_0
% 22.79/6.25  															|
% 22.79/6.25  															| From (277) and (276) follows:
% 22.79/6.25  															| (53) v1_xboole_0(k1_xboole_0)
% 22.79/6.25  															|
% 22.79/6.25  															| Instantiating formula (90) with k1_xboole_0, all_0_18_18 and discharging atoms u1_struct_0(all_0_18_18) = k1_xboole_0, l1_struct_0(all_0_18_18), v1_xboole_0(k1_xboole_0),  ~ v3_struct_0(all_0_18_18), yields:
% 22.79/6.25  															| (206) $false
% 22.79/6.25  															|
% 22.79/6.25  															|-The branch is then unsatisfiable
% 22.79/6.25  														|-Branch two:
% 22.79/6.25  														| (281)  ~ v1_xboole_0(all_0_17_17)
% 22.79/6.25  														| (282) m1_subset_1(all_0_14_14, all_0_16_16)
% 22.79/6.25  														|
% 22.79/6.25  															+-Applying beta-rule and splitting (191), into two cases.
% 22.79/6.25  															|-Branch one:
% 22.79/6.25  															| (276) v1_xboole_0(all_0_17_17)
% 22.79/6.25  															|
% 22.79/6.25  																| Using (276) and (281) yields:
% 22.79/6.25  																| (206) $false
% 22.79/6.25  																|
% 22.79/6.25  																|-The branch is then unsatisfiable
% 22.79/6.25  															|-Branch two:
% 22.79/6.25  															| (281)  ~ v1_xboole_0(all_0_17_17)
% 22.79/6.25  															| (286) m1_subset_1(all_0_15_15, all_0_16_16)
% 22.79/6.25  															|
% 22.79/6.25  																+-Applying beta-rule and splitting (203), into two cases.
% 22.79/6.25  																|-Branch one:
% 22.79/6.25  																| (276) v1_xboole_0(all_0_17_17)
% 22.79/6.25  																|
% 22.79/6.25  																	| Using (276) and (281) yields:
% 22.79/6.25  																	| (206) $false
% 22.79/6.25  																	|
% 22.79/6.25  																	|-The branch is then unsatisfiable
% 22.79/6.25  																|-Branch two:
% 22.79/6.25  																| (281)  ~ v1_xboole_0(all_0_17_17)
% 22.79/6.25  																| (290)  ? [v0] : m2_fraenkel(v0, all_0_17_17, all_0_17_17, all_0_16_16)
% 22.79/6.25  																|
% 22.79/6.25  																	| Instantiating (290) with all_187_0_52 yields:
% 22.79/6.25  																	| (291) m2_fraenkel(all_187_0_52, all_0_17_17, all_0_17_17, all_0_16_16)
% 22.79/6.25  																	|
% 22.79/6.25  																	+-Applying beta-rule and splitting (273), into two cases.
% 22.79/6.25  																	|-Branch one:
% 22.79/6.25  																	| (276) v1_xboole_0(all_0_17_17)
% 22.79/6.25  																	|
% 22.79/6.25  																		| Using (276) and (281) yields:
% 22.79/6.25  																		| (206) $false
% 22.79/6.25  																		|
% 22.79/6.25  																		|-The branch is then unsatisfiable
% 22.79/6.25  																	|-Branch two:
% 22.79/6.25  																	| (281)  ~ v1_xboole_0(all_0_17_17)
% 22.79/6.25  																	| (295) k5_relat_1(all_0_14_14, all_0_15_15) = all_0_13_13
% 22.79/6.25  																	|
% 22.79/6.25  																		+-Applying beta-rule and splitting (271), into two cases.
% 22.79/6.25  																		|-Branch one:
% 22.79/6.25  																		| (276) v1_xboole_0(all_0_17_17)
% 22.79/6.25  																		|
% 22.79/6.25  																			| Using (276) and (281) yields:
% 22.79/6.25  																			| (206) $false
% 22.79/6.25  																			|
% 22.79/6.25  																			|-The branch is then unsatisfiable
% 22.79/6.25  																		|-Branch two:
% 22.79/6.25  																		| (281)  ~ v1_xboole_0(all_0_17_17)
% 22.79/6.25  																		| (299) v1_partfun1(all_34_1_41, all_34_0_40, all_0_17_17)
% 22.79/6.25  																		|
% 22.79/6.25  																			+-Applying beta-rule and splitting (274), into two cases.
% 22.79/6.25  																			|-Branch one:
% 22.79/6.25  																			| (276) v1_xboole_0(all_0_17_17)
% 22.79/6.25  																			|
% 22.79/6.25  																				| Using (276) and (281) yields:
% 22.79/6.25  																				| (206) $false
% 22.79/6.25  																				|
% 22.79/6.25  																				|-The branch is then unsatisfiable
% 22.79/6.25  																			|-Branch two:
% 22.79/6.25  																			| (281)  ~ v1_xboole_0(all_0_17_17)
% 22.79/6.25  																			| (303) m2_relset_1(all_0_13_13, all_0_17_17, all_0_17_17)
% 22.79/6.25  																			|
% 22.79/6.25  																				+-Applying beta-rule and splitting (272), into two cases.
% 22.79/6.25  																				|-Branch one:
% 22.79/6.25  																				| (276) v1_xboole_0(all_0_17_17)
% 22.79/6.25  																				|
% 22.79/6.25  																					| Using (276) and (281) yields:
% 22.79/6.25  																					| (206) $false
% 22.79/6.25  																					|
% 22.79/6.25  																					|-The branch is then unsatisfiable
% 22.79/6.25  																				|-Branch two:
% 22.79/6.25  																				| (281)  ~ v1_xboole_0(all_0_17_17)
% 22.79/6.25  																				| (307) v1_partfun1(all_0_14_14, all_0_17_17, all_0_17_17)
% 22.79/6.25  																				|
% 22.79/6.25  																					+-Applying beta-rule and splitting (275), into two cases.
% 22.79/6.25  																					|-Branch one:
% 22.79/6.25  																					| (276) v1_xboole_0(all_0_17_17)
% 22.79/6.25  																					|
% 22.79/6.25  																						| Using (276) and (281) yields:
% 22.79/6.25  																						| (206) $false
% 22.79/6.25  																						|
% 22.79/6.25  																						|-The branch is then unsatisfiable
% 22.79/6.25  																					|-Branch two:
% 22.79/6.25  																					| (281)  ~ v1_xboole_0(all_0_17_17)
% 22.79/6.25  																					| (311) v1_partfun1(all_0_15_15, all_0_17_17, all_0_17_17)
% 22.79/6.25  																					|
% 22.79/6.25  																						| Instantiating formula (32) with all_0_13_13, all_0_17_17, all_0_17_17, all_0_17_17, all_0_15_15, all_0_14_14, all_0_18_18, all_0_18_18, all_0_18_18 and discharging atoms k5_relat_1(all_0_14_14, all_0_15_15) = all_0_13_13, u1_struct_0(all_0_18_18) = all_0_17_17, v1_group_6(all_0_14_14, all_0_18_18, all_0_18_18), v1_group_6(all_0_15_15, all_0_18_18, all_0_18_18), v1_funct_2(all_0_14_14, all_0_17_17, all_0_17_17), v1_funct_2(all_0_15_15, all_0_17_17, all_0_17_17), m1_relset_1(all_0_14_14, all_0_17_17, all_0_17_17), m1_relset_1(all_0_15_15, all_0_17_17, all_0_17_17), v1_funct_1(all_0_14_14), v1_funct_1(all_0_15_15), l1_group_1(all_0_18_18), v4_group_1(all_0_18_18), v3_group_1(all_0_18_18),  ~ v3_struct_0(all_0_18_18), yields:
% 22.79/6.26  																						| (312) k8_group_6(all_0_18_18, all_0_18_18, all_0_18_18, all_0_14_14, all_0_15_15) = all_0_13_13
% 22.79/6.26  																						|
% 22.79/6.26  																						| Instantiating formula (80) with all_0_16_16, all_0_14_14 and discharging atoms m1_subset_1(all_0_14_14, all_0_16_16), yields:
% 22.79/6.26  																						| (313) v1_xboole_0(all_0_16_16) | r2_hidden(all_0_14_14, all_0_16_16)
% 22.79/6.26  																						|
% 22.79/6.26  																						| Instantiating formula (80) with all_0_16_16, all_0_15_15 and discharging atoms m1_subset_1(all_0_15_15, all_0_16_16), yields:
% 22.79/6.26  																						| (314) v1_xboole_0(all_0_16_16) | r2_hidden(all_0_15_15, all_0_16_16)
% 22.79/6.26  																						|
% 22.79/6.26  																						| Instantiating formula (112) with all_187_0_52, all_0_16_16, all_0_17_17, all_0_17_17 and discharging atoms m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17), m2_fraenkel(all_187_0_52, all_0_17_17, all_0_17_17, all_0_16_16),  ~ v1_xboole_0(all_0_17_17), yields:
% 22.79/6.26  																						| (315) m2_relset_1(all_187_0_52, all_0_17_17, all_0_17_17)
% 22.79/6.26  																						|
% 22.79/6.26  																						| Instantiating formula (18) with all_187_0_52, all_0_16_16, all_0_17_17, all_0_17_17 and discharging atoms m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17), m2_fraenkel(all_187_0_52, all_0_17_17, all_0_17_17, all_0_16_16),  ~ v1_xboole_0(all_0_17_17), yields:
% 22.79/6.26  																						| (316) v1_funct_2(all_187_0_52, all_0_17_17, all_0_17_17)
% 22.79/6.26  																						|
% 22.79/6.26  																						| Instantiating formula (61) with all_187_0_52, all_0_16_16, all_0_17_17, all_0_17_17 and discharging atoms m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17), m2_fraenkel(all_187_0_52, all_0_17_17, all_0_17_17, all_0_16_16),  ~ v1_xboole_0(all_0_17_17), yields:
% 22.79/6.26  																						| (317) v1_funct_1(all_187_0_52)
% 22.79/6.26  																						|
% 22.79/6.26  																						| Instantiating formula (39) with all_187_0_52, all_0_16_16, all_0_17_17, all_0_17_17 and discharging atoms m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17), m2_fraenkel(all_187_0_52, all_0_17_17, all_0_17_17, all_0_16_16),  ~ v1_xboole_0(all_0_17_17), yields:
% 22.79/6.26  																						| (318) m1_subset_1(all_187_0_52, all_0_16_16)
% 22.79/6.26  																						|
% 22.79/6.26  																						| Instantiating formula (148) with all_187_0_52 yields:
% 22.79/6.26  																						| (319)  ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17) |  ~ m2_fraenkel(all_187_0_52, all_0_17_17, all_0_17_17, all_39_0_43) | v1_group_6(all_187_0_52, all_0_18_18, all_0_18_18)
% 22.79/6.26  																						|
% 22.79/6.26  																						| Instantiating formula (165) with all_187_0_52 yields:
% 22.79/6.26  																						| (320)  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ m2_fraenkel(all_187_0_52, all_46_0_46, all_46_0_46, all_0_16_16) | v1_group_6(all_187_0_52, all_0_18_18, all_0_18_18)
% 22.79/6.26  																						|
% 22.79/6.26  																						+-Applying beta-rule and splitting (320), into two cases.
% 22.79/6.26  																						|-Branch one:
% 22.79/6.26  																						| (234)  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46)
% 22.79/6.26  																						|
% 22.79/6.26  																							| From (186)(186) and (234) follows:
% 22.79/6.26  																							| (205)  ~ m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.26  																							|
% 22.79/6.26  																							| Using (188) and (205) yields:
% 22.79/6.26  																							| (206) $false
% 22.79/6.26  																							|
% 22.79/6.26  																							|-The branch is then unsatisfiable
% 22.79/6.26  																						|-Branch two:
% 22.79/6.26  																						| (237) m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46)
% 22.79/6.26  																						| (325)  ~ m2_fraenkel(all_187_0_52, all_46_0_46, all_46_0_46, all_0_16_16) | v1_group_6(all_187_0_52, all_0_18_18, all_0_18_18)
% 22.79/6.26  																						|
% 22.79/6.26  																							| From (186)(186) and (237) follows:
% 22.79/6.26  																							| (188) m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.26  																							|
% 22.79/6.26  																							+-Applying beta-rule and splitting (319), into two cases.
% 22.79/6.26  																							|-Branch one:
% 22.79/6.26  																							| (204)  ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17)
% 22.79/6.26  																							|
% 22.79/6.26  																								| From (181) and (204) follows:
% 22.79/6.26  																								| (205)  ~ m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.26  																								|
% 22.79/6.26  																								| Using (188) and (205) yields:
% 22.79/6.26  																								| (206) $false
% 22.79/6.26  																								|
% 22.79/6.26  																								|-The branch is then unsatisfiable
% 22.79/6.26  																							|-Branch two:
% 22.79/6.26  																							| (207) m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17)
% 22.79/6.26  																							| (331)  ~ m2_fraenkel(all_187_0_52, all_0_17_17, all_0_17_17, all_39_0_43) | v1_group_6(all_187_0_52, all_0_18_18, all_0_18_18)
% 22.79/6.26  																							|
% 22.79/6.26  																								| From (181) and (207) follows:
% 22.79/6.26  																								| (188) m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.26  																								|
% 22.79/6.26  																								+-Applying beta-rule and splitting (325), into two cases.
% 22.79/6.26  																								|-Branch one:
% 22.79/6.26  																								| (333)  ~ m2_fraenkel(all_187_0_52, all_46_0_46, all_46_0_46, all_0_16_16)
% 22.79/6.26  																								|
% 22.79/6.26  																									| From (186)(186) and (333) follows:
% 22.79/6.26  																									| (334)  ~ m2_fraenkel(all_187_0_52, all_0_17_17, all_0_17_17, all_0_16_16)
% 22.79/6.26  																									|
% 22.79/6.26  																									| Using (291) and (334) yields:
% 22.79/6.26  																									| (206) $false
% 22.79/6.26  																									|
% 22.79/6.26  																									|-The branch is then unsatisfiable
% 22.79/6.26  																								|-Branch two:
% 22.79/6.26  																								| (336) m2_fraenkel(all_187_0_52, all_46_0_46, all_46_0_46, all_0_16_16)
% 22.79/6.26  																								| (337) v1_group_6(all_187_0_52, all_0_18_18, all_0_18_18)
% 22.79/6.26  																								|
% 22.79/6.26  																									| Instantiating formula (9) with all_0_13_13, all_0_15_15, all_0_14_14, all_0_18_18, all_0_18_18, all_0_18_18 and discharging atoms k8_group_6(all_0_18_18, all_0_18_18, all_0_18_18, all_0_14_14, all_0_15_15) = all_0_13_13, v1_group_6(all_0_14_14, all_0_18_18, all_0_18_18), v1_group_6(all_0_15_15, all_0_18_18, all_0_18_18), v1_funct_1(all_0_14_14), v1_funct_1(all_0_15_15), l1_group_1(all_0_18_18), v4_group_1(all_0_18_18), v3_group_1(all_0_18_18),  ~ v3_struct_0(all_0_18_18), yields:
% 22.79/6.26  																									| (338)  ? [v0] :  ? [v1] :  ? [v2] : (u1_struct_0(all_0_18_18) = v2 & u1_struct_0(all_0_18_18) = v1 & u1_struct_0(all_0_18_18) = v0 & ( ~ v1_funct_2(all_0_14_14, v0, v1) |  ~ v1_funct_2(all_0_15_15, v1, v2) |  ~ m1_relset_1(all_0_14_14, v0, v1) |  ~ m1_relset_1(all_0_15_15, v1, v2) | (m2_relset_1(all_0_13_13, v0, v2) & v1_group_6(all_0_13_13, all_0_18_18, all_0_18_18) & v1_funct_2(all_0_13_13, v0, v2) & v1_funct_1(all_0_13_13))))
% 22.79/6.26  																									|
% 22.79/6.26  																									| Instantiating formula (80) with all_0_16_16, all_187_0_52 and discharging atoms m1_subset_1(all_187_0_52, all_0_16_16), yields:
% 22.79/6.26  																									| (339) v1_xboole_0(all_0_16_16) | r2_hidden(all_187_0_52, all_0_16_16)
% 22.79/6.26  																									|
% 22.79/6.26  																									| Instantiating (338) with all_261_0_55, all_261_1_56, all_261_2_57 yields:
% 22.79/6.26  																									| (340) u1_struct_0(all_0_18_18) = all_261_0_55 & u1_struct_0(all_0_18_18) = all_261_1_56 & u1_struct_0(all_0_18_18) = all_261_2_57 & ( ~ v1_funct_2(all_0_14_14, all_261_2_57, all_261_1_56) |  ~ v1_funct_2(all_0_15_15, all_261_1_56, all_261_0_55) |  ~ m1_relset_1(all_0_14_14, all_261_2_57, all_261_1_56) |  ~ m1_relset_1(all_0_15_15, all_261_1_56, all_261_0_55) | (m2_relset_1(all_0_13_13, all_261_2_57, all_261_0_55) & v1_group_6(all_0_13_13, all_0_18_18, all_0_18_18) & v1_funct_2(all_0_13_13, all_261_2_57, all_261_0_55) & v1_funct_1(all_0_13_13)))
% 22.79/6.26  																									|
% 22.79/6.26  																									| Applying alpha-rule on (340) yields:
% 22.79/6.26  																									| (341) u1_struct_0(all_0_18_18) = all_261_0_55
% 22.79/6.26  																									| (342) u1_struct_0(all_0_18_18) = all_261_1_56
% 22.79/6.26  																									| (343) u1_struct_0(all_0_18_18) = all_261_2_57
% 22.79/6.26  																									| (344)  ~ v1_funct_2(all_0_14_14, all_261_2_57, all_261_1_56) |  ~ v1_funct_2(all_0_15_15, all_261_1_56, all_261_0_55) |  ~ m1_relset_1(all_0_14_14, all_261_2_57, all_261_1_56) |  ~ m1_relset_1(all_0_15_15, all_261_1_56, all_261_0_55) | (m2_relset_1(all_0_13_13, all_261_2_57, all_261_0_55) & v1_group_6(all_0_13_13, all_0_18_18, all_0_18_18) & v1_funct_2(all_0_13_13, all_261_2_57, all_261_0_55) & v1_funct_1(all_0_13_13))
% 22.79/6.26  																									|
% 22.79/6.26  																									| Instantiating formula (37) with all_0_18_18, all_261_1_56, all_0_17_17 and discharging atoms u1_struct_0(all_0_18_18) = all_261_1_56, u1_struct_0(all_0_18_18) = all_0_17_17, yields:
% 22.79/6.26  																									| (345) all_261_1_56 = all_0_17_17
% 22.79/6.26  																									|
% 22.79/6.26  																									| Instantiating formula (37) with all_0_18_18, all_261_1_56, all_261_0_55 and discharging atoms u1_struct_0(all_0_18_18) = all_261_0_55, u1_struct_0(all_0_18_18) = all_261_1_56, yields:
% 22.79/6.26  																									| (346) all_261_0_55 = all_261_1_56
% 22.79/6.26  																									|
% 22.79/6.26  																									| Instantiating formula (37) with all_0_18_18, all_261_2_57, all_261_0_55 and discharging atoms u1_struct_0(all_0_18_18) = all_261_0_55, u1_struct_0(all_0_18_18) = all_261_2_57, yields:
% 22.79/6.26  																									| (347) all_261_0_55 = all_261_2_57
% 22.79/6.26  																									|
% 22.79/6.26  																									| Combining equations (346,347) yields a new equation:
% 22.79/6.26  																									| (348) all_261_1_56 = all_261_2_57
% 22.79/6.26  																									|
% 22.79/6.26  																									| Simplifying 348 yields:
% 22.79/6.26  																									| (349) all_261_1_56 = all_261_2_57
% 22.79/6.26  																									|
% 22.79/6.26  																									| Combining equations (349,345) yields a new equation:
% 22.79/6.26  																									| (350) all_261_2_57 = all_0_17_17
% 22.79/6.26  																									|
% 22.79/6.26  																									| Simplifying 350 yields:
% 22.79/6.26  																									| (351) all_261_2_57 = all_0_17_17
% 22.79/6.26  																									|
% 22.79/6.26  																									| Combining equations (351,347) yields a new equation:
% 22.79/6.26  																									| (352) all_261_0_55 = all_0_17_17
% 22.79/6.26  																									|
% 22.79/6.26  																									| From (351) and (343) follows:
% 22.79/6.26  																									| (95) u1_struct_0(all_0_18_18) = all_0_17_17
% 22.79/6.26  																									|
% 22.79/6.26  																									+-Applying beta-rule and splitting (344), into two cases.
% 22.79/6.26  																									|-Branch one:
% 22.79/6.26  																									| (354)  ~ v1_funct_2(all_0_14_14, all_261_2_57, all_261_1_56)
% 22.79/6.26  																									|
% 22.79/6.26  																										| From (351)(345) and (354) follows:
% 22.79/6.26  																										| (355)  ~ v1_funct_2(all_0_14_14, all_0_17_17, all_0_17_17)
% 22.79/6.26  																										|
% 22.79/6.26  																										| Using (221) and (355) yields:
% 22.79/6.26  																										| (206) $false
% 22.79/6.26  																										|
% 22.79/6.26  																										|-The branch is then unsatisfiable
% 22.79/6.26  																									|-Branch two:
% 22.79/6.26  																									| (357) v1_funct_2(all_0_14_14, all_261_2_57, all_261_1_56)
% 22.79/6.26  																									| (358)  ~ v1_funct_2(all_0_15_15, all_261_1_56, all_261_0_55) |  ~ m1_relset_1(all_0_14_14, all_261_2_57, all_261_1_56) |  ~ m1_relset_1(all_0_15_15, all_261_1_56, all_261_0_55) | (m2_relset_1(all_0_13_13, all_261_2_57, all_261_0_55) & v1_group_6(all_0_13_13, all_0_18_18, all_0_18_18) & v1_funct_2(all_0_13_13, all_261_2_57, all_261_0_55) & v1_funct_1(all_0_13_13))
% 22.79/6.26  																									|
% 22.79/6.26  																										| From (351)(345) and (357) follows:
% 22.79/6.26  																										| (221) v1_funct_2(all_0_14_14, all_0_17_17, all_0_17_17)
% 22.79/6.26  																										|
% 22.79/6.26  																										+-Applying beta-rule and splitting (358), into two cases.
% 22.79/6.26  																										|-Branch one:
% 22.79/6.26  																										| (360)  ~ v1_funct_2(all_0_15_15, all_261_1_56, all_261_0_55)
% 22.79/6.26  																										|
% 22.79/6.26  																											| From (345)(352) and (360) follows:
% 22.79/6.26  																											| (361)  ~ v1_funct_2(all_0_15_15, all_0_17_17, all_0_17_17)
% 22.79/6.26  																											|
% 22.79/6.26  																											| Using (219) and (361) yields:
% 22.79/6.26  																											| (206) $false
% 22.79/6.26  																											|
% 22.79/6.26  																											|-The branch is then unsatisfiable
% 22.79/6.26  																										|-Branch two:
% 22.79/6.26  																										| (363) v1_funct_2(all_0_15_15, all_261_1_56, all_261_0_55)
% 22.79/6.26  																										| (364)  ~ m1_relset_1(all_0_14_14, all_261_2_57, all_261_1_56) |  ~ m1_relset_1(all_0_15_15, all_261_1_56, all_261_0_55) | (m2_relset_1(all_0_13_13, all_261_2_57, all_261_0_55) & v1_group_6(all_0_13_13, all_0_18_18, all_0_18_18) & v1_funct_2(all_0_13_13, all_261_2_57, all_261_0_55) & v1_funct_1(all_0_13_13))
% 22.79/6.26  																										|
% 22.79/6.26  																											| From (345)(352) and (363) follows:
% 22.79/6.26  																											| (219) v1_funct_2(all_0_15_15, all_0_17_17, all_0_17_17)
% 22.79/6.26  																											|
% 22.79/6.26  																											+-Applying beta-rule and splitting (364), into two cases.
% 22.79/6.26  																											|-Branch one:
% 22.79/6.26  																											| (366)  ~ m1_relset_1(all_0_14_14, all_261_2_57, all_261_1_56)
% 22.79/6.26  																											|
% 22.79/6.26  																												| From (351)(345) and (366) follows:
% 22.79/6.26  																												| (367)  ~ m1_relset_1(all_0_14_14, all_0_17_17, all_0_17_17)
% 22.79/6.26  																												|
% 22.79/6.26  																												| Using (269) and (367) yields:
% 22.79/6.26  																												| (206) $false
% 22.79/6.26  																												|
% 22.79/6.26  																												|-The branch is then unsatisfiable
% 22.79/6.26  																											|-Branch two:
% 22.79/6.26  																											| (369) m1_relset_1(all_0_14_14, all_261_2_57, all_261_1_56)
% 22.79/6.26  																											| (370)  ~ m1_relset_1(all_0_15_15, all_261_1_56, all_261_0_55) | (m2_relset_1(all_0_13_13, all_261_2_57, all_261_0_55) & v1_group_6(all_0_13_13, all_0_18_18, all_0_18_18) & v1_funct_2(all_0_13_13, all_261_2_57, all_261_0_55) & v1_funct_1(all_0_13_13))
% 22.79/6.26  																											|
% 22.79/6.26  																												+-Applying beta-rule and splitting (370), into two cases.
% 22.79/6.26  																												|-Branch one:
% 22.79/6.26  																												| (371)  ~ m1_relset_1(all_0_15_15, all_261_1_56, all_261_0_55)
% 22.79/6.26  																												|
% 22.79/6.26  																													| From (345)(352) and (371) follows:
% 22.79/6.26  																													| (372)  ~ m1_relset_1(all_0_15_15, all_0_17_17, all_0_17_17)
% 22.79/6.26  																													|
% 22.79/6.26  																													| Using (270) and (372) yields:
% 22.79/6.26  																													| (206) $false
% 22.79/6.26  																													|
% 22.79/6.26  																													|-The branch is then unsatisfiable
% 22.79/6.26  																												|-Branch two:
% 22.79/6.26  																												| (374) m1_relset_1(all_0_15_15, all_261_1_56, all_261_0_55)
% 22.79/6.26  																												| (375) m2_relset_1(all_0_13_13, all_261_2_57, all_261_0_55) & v1_group_6(all_0_13_13, all_0_18_18, all_0_18_18) & v1_funct_2(all_0_13_13, all_261_2_57, all_261_0_55) & v1_funct_1(all_0_13_13)
% 22.79/6.26  																												|
% 22.79/6.26  																													| Applying alpha-rule on (375) yields:
% 22.79/6.26  																													| (376) m2_relset_1(all_0_13_13, all_261_2_57, all_261_0_55)
% 22.79/6.26  																													| (377) v1_group_6(all_0_13_13, all_0_18_18, all_0_18_18)
% 22.79/6.26  																													| (378) v1_funct_2(all_0_13_13, all_261_2_57, all_261_0_55)
% 22.79/6.26  																													| (379) v1_funct_1(all_0_13_13)
% 22.79/6.26  																													|
% 22.79/6.26  																													| From (351)(352) and (376) follows:
% 22.79/6.26  																													| (303) m2_relset_1(all_0_13_13, all_0_17_17, all_0_17_17)
% 22.79/6.26  																													|
% 22.79/6.26  																													| From (351)(352) and (378) follows:
% 22.79/6.26  																													| (381) v1_funct_2(all_0_13_13, all_0_17_17, all_0_17_17)
% 22.79/6.26  																													|
% 22.79/6.26  																													+-Applying beta-rule and splitting (314), into two cases.
% 22.79/6.26  																													|-Branch one:
% 22.79/6.26  																													| (382) v1_xboole_0(all_0_16_16)
% 22.79/6.26  																													|
% 22.79/6.26  																														| Instantiating formula (8) with all_0_16_16, all_0_17_17, all_0_17_17 and discharging atoms m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17), v1_xboole_0(all_0_16_16), yields:
% 22.79/6.26  																														| (206) $false
% 22.79/6.26  																														|
% 22.79/6.26  																														|-The branch is then unsatisfiable
% 22.79/6.26  																													|-Branch two:
% 22.79/6.26  																													| (384)  ~ v1_xboole_0(all_0_16_16)
% 22.79/6.27  																													| (385) r2_hidden(all_0_15_15, all_0_16_16)
% 22.79/6.27  																													|
% 22.79/6.27  																														+-Applying beta-rule and splitting (313), into two cases.
% 22.79/6.27  																														|-Branch one:
% 22.79/6.27  																														| (382) v1_xboole_0(all_0_16_16)
% 22.79/6.27  																														|
% 22.79/6.27  																															| Using (382) and (384) yields:
% 22.79/6.27  																															| (206) $false
% 22.79/6.27  																															|
% 22.79/6.27  																															|-The branch is then unsatisfiable
% 22.79/6.27  																														|-Branch two:
% 22.79/6.27  																														| (384)  ~ v1_xboole_0(all_0_16_16)
% 22.79/6.27  																														| (389) r2_hidden(all_0_14_14, all_0_16_16)
% 22.79/6.27  																														|
% 22.79/6.27  																															+-Applying beta-rule and splitting (339), into two cases.
% 22.79/6.27  																															|-Branch one:
% 22.79/6.27  																															| (382) v1_xboole_0(all_0_16_16)
% 22.79/6.27  																															|
% 22.79/6.27  																																| Using (382) and (384) yields:
% 22.79/6.27  																																| (206) $false
% 22.79/6.27  																																|
% 22.79/6.27  																																|-The branch is then unsatisfiable
% 22.79/6.27  																															|-Branch two:
% 22.79/6.27  																															| (384)  ~ v1_xboole_0(all_0_16_16)
% 22.79/6.27  																															| (393) r2_hidden(all_187_0_52, all_0_16_16)
% 22.79/6.27  																															|
% 22.79/6.27  																																| Instantiating formula (168) with all_187_0_52 and discharging atoms v1_group_6(all_187_0_52, all_0_18_18, all_0_18_18), v1_funct_1(all_187_0_52), r2_hidden(all_187_0_52, all_0_16_16), yields:
% 22.79/6.27  																																| (394)  ~ m2_relset_1(all_187_0_52, all_46_0_46, all_46_0_46) |  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ v1_funct_2(all_187_0_52, all_46_0_46, all_46_0_46) | v3_group_6(all_187_0_52, all_0_18_18, all_0_18_18)
% 22.79/6.27  																																|
% 22.79/6.27  																																| Instantiating formula (166) with all_187_0_52 and discharging atoms v1_group_6(all_187_0_52, all_0_18_18, all_0_18_18), v1_funct_1(all_187_0_52), r2_hidden(all_187_0_52, all_0_16_16), yields:
% 22.79/6.27  																																| (395)  ~ m2_relset_1(all_187_0_52, all_46_0_46, all_46_0_46) |  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ v1_funct_2(all_187_0_52, all_46_0_46, all_46_0_46) | v2_funct_1(all_187_0_52)
% 22.79/6.27  																																|
% 22.79/6.27  																																| Instantiating formula (135) with all_187_0_52 and discharging atoms v1_group_6(all_187_0_52, all_0_18_18, all_0_18_18), v1_funct_1(all_187_0_52), r2_hidden(all_187_0_52, all_0_16_16), yields:
% 22.79/6.27  																																| (396)  ~ m2_relset_1(all_187_0_52, all_29_0_38, all_29_0_38) |  ~ v1_funct_2(all_187_0_52, all_29_0_38, all_29_0_38) | v4_group_6(all_187_0_52, all_0_18_18, all_0_18_18)
% 22.79/6.27  																																|
% 22.79/6.27  																																| Instantiating formula (168) with all_0_14_14 and discharging atoms v1_group_6(all_0_14_14, all_0_18_18, all_0_18_18), v1_funct_1(all_0_14_14), r2_hidden(all_0_14_14, all_0_16_16), yields:
% 22.79/6.27  																																| (397)  ~ m2_relset_1(all_0_14_14, all_46_0_46, all_46_0_46) |  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ v1_funct_2(all_0_14_14, all_46_0_46, all_46_0_46) | v3_group_6(all_0_14_14, all_0_18_18, all_0_18_18)
% 22.79/6.27  																																|
% 22.79/6.27  																																| Instantiating formula (166) with all_0_14_14 and discharging atoms v1_group_6(all_0_14_14, all_0_18_18, all_0_18_18), v1_funct_1(all_0_14_14), r2_hidden(all_0_14_14, all_0_16_16), yields:
% 22.79/6.27  																																| (398)  ~ m2_relset_1(all_0_14_14, all_46_0_46, all_46_0_46) |  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ v1_funct_2(all_0_14_14, all_46_0_46, all_46_0_46) | v2_funct_1(all_0_14_14)
% 22.79/6.27  																																|
% 22.79/6.27  																																| Instantiating formula (135) with all_0_14_14 and discharging atoms v1_group_6(all_0_14_14, all_0_18_18, all_0_18_18), v1_funct_1(all_0_14_14), r2_hidden(all_0_14_14, all_0_16_16), yields:
% 22.79/6.27  																																| (399)  ~ m2_relset_1(all_0_14_14, all_29_0_38, all_29_0_38) |  ~ v1_funct_2(all_0_14_14, all_29_0_38, all_29_0_38) | v4_group_6(all_0_14_14, all_0_18_18, all_0_18_18)
% 22.79/6.27  																																|
% 22.79/6.27  																																| Instantiating formula (147) with all_0_14_14 and discharging atoms m2_relset_1(all_0_14_14, all_0_17_17, all_0_17_17), v1_group_6(all_0_14_14, all_0_18_18, all_0_18_18), v1_funct_2(all_0_14_14, all_0_17_17, all_0_17_17), v1_funct_1(all_0_14_14), yields:
% 22.79/6.27  																																| (400)  ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17) |  ~ r2_hidden(all_0_14_14, all_39_0_43) | v2_funct_1(all_0_14_14)
% 22.79/6.27  																																|
% 22.79/6.27  																																| Instantiating formula (166) with all_0_15_15 and discharging atoms v1_group_6(all_0_15_15, all_0_18_18, all_0_18_18), v1_funct_1(all_0_15_15), r2_hidden(all_0_15_15, all_0_16_16), yields:
% 22.79/6.27  																																| (401)  ~ m2_relset_1(all_0_15_15, all_46_0_46, all_46_0_46) |  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ v1_funct_2(all_0_15_15, all_46_0_46, all_46_0_46) | v2_funct_1(all_0_15_15)
% 22.79/6.27  																																|
% 22.79/6.27  																																| Instantiating formula (135) with all_0_15_15 and discharging atoms v1_group_6(all_0_15_15, all_0_18_18, all_0_18_18), v1_funct_1(all_0_15_15), r2_hidden(all_0_15_15, all_0_16_16), yields:
% 22.79/6.27  																																| (402)  ~ m2_relset_1(all_0_15_15, all_29_0_38, all_29_0_38) |  ~ v1_funct_2(all_0_15_15, all_29_0_38, all_29_0_38) | v4_group_6(all_0_15_15, all_0_18_18, all_0_18_18)
% 22.79/6.27  																																|
% 22.79/6.27  																																| Instantiating formula (155) with all_0_15_15 and discharging atoms m2_relset_1(all_0_15_15, all_0_17_17, all_0_17_17), v1_group_6(all_0_15_15, all_0_18_18, all_0_18_18), v1_funct_2(all_0_15_15, all_0_17_17, all_0_17_17), v1_funct_1(all_0_15_15), yields:
% 22.79/6.27  																																| (403)  ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17) |  ~ r2_hidden(all_0_15_15, all_39_0_43) | v3_group_6(all_0_15_15, all_0_18_18, all_0_18_18)
% 22.79/6.27  																																|
% 22.79/6.27  																																| Instantiating formula (147) with all_0_15_15 and discharging atoms m2_relset_1(all_0_15_15, all_0_17_17, all_0_17_17), v1_group_6(all_0_15_15, all_0_18_18, all_0_18_18), v1_funct_2(all_0_15_15, all_0_17_17, all_0_17_17), v1_funct_1(all_0_15_15), yields:
% 22.79/6.27  																																| (404)  ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17) |  ~ r2_hidden(all_0_15_15, all_39_0_43) | v2_funct_1(all_0_15_15)
% 22.79/6.27  																																|
% 22.79/6.27  																																+-Applying beta-rule and splitting (402), into two cases.
% 22.79/6.27  																																|-Branch one:
% 22.79/6.27  																																| (405)  ~ v1_funct_2(all_0_15_15, all_29_0_38, all_29_0_38)
% 22.79/6.27  																																|
% 22.79/6.27  																																	| From (180)(180) and (405) follows:
% 22.79/6.27  																																	| (361)  ~ v1_funct_2(all_0_15_15, all_0_17_17, all_0_17_17)
% 22.79/6.27  																																	|
% 22.79/6.27  																																	| Using (219) and (361) yields:
% 22.79/6.27  																																	| (206) $false
% 22.79/6.27  																																	|
% 22.79/6.27  																																	|-The branch is then unsatisfiable
% 22.79/6.27  																																|-Branch two:
% 22.79/6.27  																																| (408) v1_funct_2(all_0_15_15, all_29_0_38, all_29_0_38)
% 22.79/6.27  																																| (409)  ~ m2_relset_1(all_0_15_15, all_29_0_38, all_29_0_38) | v4_group_6(all_0_15_15, all_0_18_18, all_0_18_18)
% 22.79/6.27  																																|
% 22.79/6.27  																																	| From (180)(180) and (408) follows:
% 22.79/6.27  																																	| (219) v1_funct_2(all_0_15_15, all_0_17_17, all_0_17_17)
% 22.79/6.27  																																	|
% 22.79/6.27  																																	+-Applying beta-rule and splitting (396), into two cases.
% 22.79/6.27  																																	|-Branch one:
% 22.79/6.27  																																	| (411)  ~ v1_funct_2(all_187_0_52, all_29_0_38, all_29_0_38)
% 22.79/6.27  																																	|
% 22.79/6.27  																																		| From (180)(180) and (411) follows:
% 22.79/6.27  																																		| (412)  ~ v1_funct_2(all_187_0_52, all_0_17_17, all_0_17_17)
% 22.79/6.27  																																		|
% 22.79/6.27  																																		| Using (316) and (412) yields:
% 22.79/6.27  																																		| (206) $false
% 22.79/6.27  																																		|
% 22.79/6.27  																																		|-The branch is then unsatisfiable
% 22.79/6.27  																																	|-Branch two:
% 22.79/6.27  																																	| (414) v1_funct_2(all_187_0_52, all_29_0_38, all_29_0_38)
% 22.79/6.27  																																	| (415)  ~ m2_relset_1(all_187_0_52, all_29_0_38, all_29_0_38) | v4_group_6(all_187_0_52, all_0_18_18, all_0_18_18)
% 22.79/6.27  																																	|
% 22.79/6.27  																																		| From (180)(180) and (414) follows:
% 22.79/6.27  																																		| (316) v1_funct_2(all_187_0_52, all_0_17_17, all_0_17_17)
% 22.79/6.27  																																		|
% 22.79/6.27  																																		+-Applying beta-rule and splitting (401), into two cases.
% 22.79/6.27  																																		|-Branch one:
% 22.79/6.27  																																		| (417)  ~ v1_funct_2(all_0_15_15, all_46_0_46, all_46_0_46)
% 22.79/6.27  																																		|
% 22.79/6.27  																																			| From (186)(186) and (417) follows:
% 22.79/6.27  																																			| (361)  ~ v1_funct_2(all_0_15_15, all_0_17_17, all_0_17_17)
% 22.79/6.27  																																			|
% 22.79/6.27  																																			| Using (219) and (361) yields:
% 22.79/6.27  																																			| (206) $false
% 22.79/6.27  																																			|
% 22.79/6.27  																																			|-The branch is then unsatisfiable
% 22.79/6.27  																																		|-Branch two:
% 22.79/6.27  																																		| (218) v1_funct_2(all_0_15_15, all_46_0_46, all_46_0_46)
% 22.79/6.27  																																		| (421)  ~ m2_relset_1(all_0_15_15, all_46_0_46, all_46_0_46) |  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) | v2_funct_1(all_0_15_15)
% 22.79/6.27  																																		|
% 22.79/6.27  																																			| From (186)(186) and (218) follows:
% 22.79/6.27  																																			| (219) v1_funct_2(all_0_15_15, all_0_17_17, all_0_17_17)
% 22.79/6.27  																																			|
% 22.79/6.27  																																			+-Applying beta-rule and splitting (395), into two cases.
% 22.79/6.27  																																			|-Branch one:
% 22.79/6.27  																																			| (423)  ~ v1_funct_2(all_187_0_52, all_46_0_46, all_46_0_46)
% 22.79/6.27  																																			|
% 22.79/6.27  																																				| From (186)(186) and (423) follows:
% 22.79/6.27  																																				| (412)  ~ v1_funct_2(all_187_0_52, all_0_17_17, all_0_17_17)
% 22.79/6.27  																																				|
% 22.79/6.27  																																				| Using (316) and (412) yields:
% 22.79/6.27  																																				| (206) $false
% 22.79/6.27  																																				|
% 22.79/6.27  																																				|-The branch is then unsatisfiable
% 22.79/6.27  																																			|-Branch two:
% 22.79/6.27  																																			| (426) v1_funct_2(all_187_0_52, all_46_0_46, all_46_0_46)
% 22.79/6.27  																																			| (427)  ~ m2_relset_1(all_187_0_52, all_46_0_46, all_46_0_46) |  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) | v2_funct_1(all_187_0_52)
% 22.79/6.27  																																			|
% 22.79/6.27  																																				| From (186)(186) and (426) follows:
% 22.79/6.27  																																				| (316) v1_funct_2(all_187_0_52, all_0_17_17, all_0_17_17)
% 22.79/6.27  																																				|
% 22.79/6.27  																																				+-Applying beta-rule and splitting (394), into two cases.
% 22.79/6.27  																																				|-Branch one:
% 22.79/6.27  																																				| (423)  ~ v1_funct_2(all_187_0_52, all_46_0_46, all_46_0_46)
% 22.79/6.27  																																				|
% 22.79/6.27  																																					| From (186)(186) and (423) follows:
% 22.79/6.27  																																					| (412)  ~ v1_funct_2(all_187_0_52, all_0_17_17, all_0_17_17)
% 22.79/6.27  																																					|
% 22.79/6.27  																																					| Using (316) and (412) yields:
% 22.79/6.27  																																					| (206) $false
% 22.79/6.27  																																					|
% 22.79/6.27  																																					|-The branch is then unsatisfiable
% 22.79/6.27  																																				|-Branch two:
% 22.79/6.27  																																				| (426) v1_funct_2(all_187_0_52, all_46_0_46, all_46_0_46)
% 22.79/6.27  																																				| (433)  ~ m2_relset_1(all_187_0_52, all_46_0_46, all_46_0_46) |  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) | v3_group_6(all_187_0_52, all_0_18_18, all_0_18_18)
% 22.79/6.27  																																				|
% 22.79/6.27  																																					+-Applying beta-rule and splitting (427), into two cases.
% 22.79/6.27  																																					|-Branch one:
% 22.79/6.27  																																					| (434)  ~ m2_relset_1(all_187_0_52, all_46_0_46, all_46_0_46)
% 22.79/6.27  																																					|
% 22.79/6.27  																																						| From (186)(186) and (434) follows:
% 22.79/6.27  																																						| (435)  ~ m2_relset_1(all_187_0_52, all_0_17_17, all_0_17_17)
% 22.79/6.27  																																						|
% 22.79/6.27  																																						| Using (315) and (435) yields:
% 22.79/6.27  																																						| (206) $false
% 22.79/6.27  																																						|
% 22.79/6.27  																																						|-The branch is then unsatisfiable
% 22.79/6.27  																																					|-Branch two:
% 22.79/6.27  																																					| (437) m2_relset_1(all_187_0_52, all_46_0_46, all_46_0_46)
% 22.79/6.27  																																					| (438)  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) | v2_funct_1(all_187_0_52)
% 22.79/6.27  																																					|
% 22.79/6.27  																																						| From (186)(186) and (437) follows:
% 22.79/6.27  																																						| (315) m2_relset_1(all_187_0_52, all_0_17_17, all_0_17_17)
% 22.79/6.27  																																						|
% 22.79/6.27  																																						+-Applying beta-rule and splitting (433), into two cases.
% 22.79/6.27  																																						|-Branch one:
% 22.79/6.27  																																						| (434)  ~ m2_relset_1(all_187_0_52, all_46_0_46, all_46_0_46)
% 22.79/6.27  																																						|
% 22.79/6.27  																																							| From (186)(186) and (434) follows:
% 22.79/6.27  																																							| (435)  ~ m2_relset_1(all_187_0_52, all_0_17_17, all_0_17_17)
% 22.79/6.27  																																							|
% 22.79/6.27  																																							| Using (315) and (435) yields:
% 22.79/6.27  																																							| (206) $false
% 22.79/6.27  																																							|
% 22.79/6.27  																																							|-The branch is then unsatisfiable
% 22.79/6.27  																																						|-Branch two:
% 22.79/6.27  																																						| (437) m2_relset_1(all_187_0_52, all_46_0_46, all_46_0_46)
% 22.79/6.27  																																						| (444)  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) | v3_group_6(all_187_0_52, all_0_18_18, all_0_18_18)
% 22.79/6.27  																																						|
% 22.79/6.27  																																							+-Applying beta-rule and splitting (438), into two cases.
% 22.79/6.27  																																							|-Branch one:
% 22.79/6.27  																																							| (234)  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46)
% 22.79/6.27  																																							|
% 22.79/6.27  																																								| From (186)(186) and (234) follows:
% 22.79/6.27  																																								| (205)  ~ m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.27  																																								|
% 22.79/6.27  																																								| Using (188) and (205) yields:
% 22.79/6.27  																																								| (206) $false
% 22.79/6.27  																																								|
% 22.79/6.27  																																								|-The branch is then unsatisfiable
% 22.79/6.27  																																							|-Branch two:
% 22.79/6.27  																																							| (237) m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46)
% 22.79/6.27  																																							| (449) v2_funct_1(all_187_0_52)
% 22.79/6.27  																																							|
% 22.79/6.27  																																								| From (186)(186) and (237) follows:
% 22.79/6.27  																																								| (188) m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.27  																																								|
% 22.79/6.27  																																								+-Applying beta-rule and splitting (444), into two cases.
% 22.79/6.27  																																								|-Branch one:
% 22.79/6.27  																																								| (234)  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46)
% 22.79/6.27  																																								|
% 22.79/6.27  																																									| From (186)(186) and (234) follows:
% 22.79/6.27  																																									| (205)  ~ m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.27  																																									|
% 22.79/6.27  																																									| Using (188) and (205) yields:
% 22.79/6.27  																																									| (206) $false
% 22.79/6.27  																																									|
% 22.79/6.27  																																									|-The branch is then unsatisfiable
% 22.79/6.27  																																								|-Branch two:
% 22.79/6.27  																																								| (237) m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46)
% 22.79/6.27  																																								| (455) v3_group_6(all_187_0_52, all_0_18_18, all_0_18_18)
% 22.79/6.27  																																								|
% 22.79/6.27  																																									| From (186)(186) and (237) follows:
% 22.79/6.27  																																									| (188) m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.27  																																									|
% 22.79/6.27  																																									+-Applying beta-rule and splitting (399), into two cases.
% 22.79/6.27  																																									|-Branch one:
% 22.79/6.27  																																									| (457)  ~ v1_funct_2(all_0_14_14, all_29_0_38, all_29_0_38)
% 22.79/6.27  																																									|
% 22.79/6.27  																																										| From (180)(180) and (457) follows:
% 22.79/6.27  																																										| (355)  ~ v1_funct_2(all_0_14_14, all_0_17_17, all_0_17_17)
% 22.79/6.27  																																										|
% 22.79/6.27  																																										| Using (221) and (355) yields:
% 22.79/6.27  																																										| (206) $false
% 22.79/6.27  																																										|
% 22.79/6.27  																																										|-The branch is then unsatisfiable
% 22.79/6.27  																																									|-Branch two:
% 22.79/6.28  																																									| (460) v1_funct_2(all_0_14_14, all_29_0_38, all_29_0_38)
% 22.79/6.28  																																									| (461)  ~ m2_relset_1(all_0_14_14, all_29_0_38, all_29_0_38) | v4_group_6(all_0_14_14, all_0_18_18, all_0_18_18)
% 22.79/6.28  																																									|
% 22.79/6.28  																																										| From (180)(180) and (460) follows:
% 22.79/6.28  																																										| (221) v1_funct_2(all_0_14_14, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																										|
% 22.79/6.28  																																										+-Applying beta-rule and splitting (398), into two cases.
% 22.79/6.28  																																										|-Branch one:
% 22.79/6.28  																																										| (463)  ~ v1_funct_2(all_0_14_14, all_46_0_46, all_46_0_46)
% 22.79/6.28  																																										|
% 22.79/6.28  																																											| From (186)(186) and (463) follows:
% 22.79/6.28  																																											| (355)  ~ v1_funct_2(all_0_14_14, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																											|
% 22.79/6.28  																																											| Using (221) and (355) yields:
% 22.79/6.28  																																											| (206) $false
% 22.79/6.28  																																											|
% 22.79/6.28  																																											|-The branch is then unsatisfiable
% 22.79/6.28  																																										|-Branch two:
% 22.79/6.28  																																										| (220) v1_funct_2(all_0_14_14, all_46_0_46, all_46_0_46)
% 22.79/6.28  																																										| (467)  ~ m2_relset_1(all_0_14_14, all_46_0_46, all_46_0_46) |  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) | v2_funct_1(all_0_14_14)
% 22.79/6.28  																																										|
% 22.79/6.28  																																											| From (186)(186) and (220) follows:
% 22.79/6.28  																																											| (221) v1_funct_2(all_0_14_14, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																											|
% 22.79/6.28  																																											+-Applying beta-rule and splitting (397), into two cases.
% 22.79/6.28  																																											|-Branch one:
% 22.79/6.28  																																											| (463)  ~ v1_funct_2(all_0_14_14, all_46_0_46, all_46_0_46)
% 22.79/6.28  																																											|
% 22.79/6.28  																																												| From (186)(186) and (463) follows:
% 22.79/6.28  																																												| (355)  ~ v1_funct_2(all_0_14_14, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																												|
% 22.79/6.28  																																												| Using (221) and (355) yields:
% 22.79/6.28  																																												| (206) $false
% 22.79/6.28  																																												|
% 22.79/6.28  																																												|-The branch is then unsatisfiable
% 22.79/6.28  																																											|-Branch two:
% 22.79/6.28  																																											| (220) v1_funct_2(all_0_14_14, all_46_0_46, all_46_0_46)
% 22.79/6.28  																																											| (473)  ~ m2_relset_1(all_0_14_14, all_46_0_46, all_46_0_46) |  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) | v3_group_6(all_0_14_14, all_0_18_18, all_0_18_18)
% 22.79/6.28  																																											|
% 22.79/6.28  																																												| From (186)(186) and (220) follows:
% 22.79/6.28  																																												| (221) v1_funct_2(all_0_14_14, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																												|
% 22.79/6.28  																																												+-Applying beta-rule and splitting (403), into two cases.
% 22.79/6.28  																																												|-Branch one:
% 22.79/6.28  																																												| (204)  ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																												|
% 22.79/6.28  																																													| From (181) and (204) follows:
% 22.79/6.28  																																													| (205)  ~ m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																													|
% 22.79/6.28  																																													| Using (188) and (205) yields:
% 22.79/6.28  																																													| (206) $false
% 22.79/6.28  																																													|
% 22.79/6.28  																																													|-The branch is then unsatisfiable
% 22.79/6.28  																																												|-Branch two:
% 22.79/6.28  																																												| (207) m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																												| (479)  ~ r2_hidden(all_0_15_15, all_39_0_43) | v3_group_6(all_0_15_15, all_0_18_18, all_0_18_18)
% 22.79/6.28  																																												|
% 22.79/6.28  																																													| From (181) and (207) follows:
% 22.79/6.28  																																													| (188) m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																													|
% 22.79/6.28  																																													+-Applying beta-rule and splitting (473), into two cases.
% 22.79/6.28  																																													|-Branch one:
% 22.79/6.28  																																													| (481)  ~ m2_relset_1(all_0_14_14, all_46_0_46, all_46_0_46)
% 22.79/6.28  																																													|
% 22.79/6.28  																																														| From (186)(186) and (481) follows:
% 22.79/6.28  																																														| (482)  ~ m2_relset_1(all_0_14_14, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																														|
% 22.79/6.28  																																														| Using (214) and (482) yields:
% 22.79/6.28  																																														| (206) $false
% 22.79/6.28  																																														|
% 22.79/6.28  																																														|-The branch is then unsatisfiable
% 22.79/6.28  																																													|-Branch two:
% 22.79/6.28  																																													| (484) m2_relset_1(all_0_14_14, all_46_0_46, all_46_0_46)
% 22.79/6.28  																																													| (485)  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) | v3_group_6(all_0_14_14, all_0_18_18, all_0_18_18)
% 22.79/6.28  																																													|
% 22.79/6.28  																																														| From (186)(186) and (484) follows:
% 22.79/6.28  																																														| (214) m2_relset_1(all_0_14_14, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																														|
% 22.79/6.28  																																														+-Applying beta-rule and splitting (485), into two cases.
% 22.79/6.28  																																														|-Branch one:
% 22.79/6.28  																																														| (234)  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46)
% 22.79/6.28  																																														|
% 22.79/6.28  																																															| From (186)(186) and (234) follows:
% 22.79/6.28  																																															| (205)  ~ m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																															|
% 22.79/6.28  																																															| Using (188) and (205) yields:
% 22.79/6.28  																																															| (206) $false
% 22.79/6.28  																																															|
% 22.79/6.28  																																															|-The branch is then unsatisfiable
% 22.79/6.28  																																														|-Branch two:
% 22.79/6.28  																																														| (237) m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46)
% 22.79/6.28  																																														| (491) v3_group_6(all_0_14_14, all_0_18_18, all_0_18_18)
% 22.79/6.28  																																														|
% 22.79/6.28  																																															| From (186)(186) and (237) follows:
% 22.79/6.28  																																															| (188) m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																															|
% 22.79/6.28  																																															+-Applying beta-rule and splitting (409), into two cases.
% 22.79/6.28  																																															|-Branch one:
% 22.79/6.28  																																															| (493)  ~ m2_relset_1(all_0_15_15, all_29_0_38, all_29_0_38)
% 22.79/6.28  																																															|
% 22.79/6.28  																																																| From (180)(180) and (493) follows:
% 22.79/6.28  																																																| (494)  ~ m2_relset_1(all_0_15_15, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																																|
% 22.79/6.28  																																																| Using (251) and (494) yields:
% 22.79/6.28  																																																| (206) $false
% 22.79/6.28  																																																|
% 22.79/6.28  																																																|-The branch is then unsatisfiable
% 22.79/6.28  																																															|-Branch two:
% 22.79/6.28  																																															| (496) m2_relset_1(all_0_15_15, all_29_0_38, all_29_0_38)
% 22.79/6.28  																																															| (497) v4_group_6(all_0_15_15, all_0_18_18, all_0_18_18)
% 22.79/6.28  																																															|
% 22.79/6.28  																																																| From (180)(180) and (496) follows:
% 22.79/6.28  																																																| (251) m2_relset_1(all_0_15_15, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																																|
% 22.79/6.28  																																																+-Applying beta-rule and splitting (461), into two cases.
% 22.79/6.28  																																																|-Branch one:
% 22.79/6.28  																																																| (499)  ~ m2_relset_1(all_0_14_14, all_29_0_38, all_29_0_38)
% 22.79/6.28  																																																|
% 22.79/6.28  																																																	| From (180)(180) and (499) follows:
% 22.79/6.28  																																																	| (482)  ~ m2_relset_1(all_0_14_14, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																																	|
% 22.79/6.28  																																																	| Using (214) and (482) yields:
% 22.79/6.28  																																																	| (206) $false
% 22.79/6.28  																																																	|
% 22.79/6.28  																																																	|-The branch is then unsatisfiable
% 22.79/6.28  																																																|-Branch two:
% 22.79/6.28  																																																| (502) m2_relset_1(all_0_14_14, all_29_0_38, all_29_0_38)
% 22.79/6.28  																																																| (503) v4_group_6(all_0_14_14, all_0_18_18, all_0_18_18)
% 22.79/6.28  																																																|
% 22.79/6.28  																																																	| From (180)(180) and (502) follows:
% 22.79/6.28  																																																	| (214) m2_relset_1(all_0_14_14, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																																	|
% 22.79/6.28  																																																	+-Applying beta-rule and splitting (400), into two cases.
% 22.79/6.28  																																																	|-Branch one:
% 22.79/6.28  																																																	| (204)  ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																																	|
% 22.79/6.28  																																																		| From (181) and (204) follows:
% 22.79/6.28  																																																		| (205)  ~ m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																																		|
% 22.79/6.28  																																																		| Using (188) and (205) yields:
% 22.79/6.28  																																																		| (206) $false
% 22.79/6.28  																																																		|
% 22.79/6.28  																																																		|-The branch is then unsatisfiable
% 22.79/6.28  																																																	|-Branch two:
% 22.79/6.28  																																																	| (207) m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																																	| (509)  ~ r2_hidden(all_0_14_14, all_39_0_43) | v2_funct_1(all_0_14_14)
% 22.79/6.28  																																																	|
% 22.79/6.28  																																																		| From (181) and (207) follows:
% 22.79/6.28  																																																		| (188) m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																																		|
% 22.79/6.28  																																																		+-Applying beta-rule and splitting (404), into two cases.
% 22.79/6.28  																																																		|-Branch one:
% 22.79/6.28  																																																		| (204)  ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																																		|
% 22.79/6.28  																																																			| From (181) and (204) follows:
% 22.79/6.28  																																																			| (205)  ~ m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																																			|
% 22.79/6.28  																																																			| Using (188) and (205) yields:
% 22.79/6.28  																																																			| (206) $false
% 22.79/6.28  																																																			|
% 22.79/6.28  																																																			|-The branch is then unsatisfiable
% 22.79/6.28  																																																		|-Branch two:
% 22.79/6.28  																																																		| (207) m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																																		| (515)  ~ r2_hidden(all_0_15_15, all_39_0_43) | v2_funct_1(all_0_15_15)
% 22.79/6.28  																																																		|
% 22.79/6.28  																																																			| From (181) and (207) follows:
% 22.79/6.28  																																																			| (188) m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																																			|
% 22.79/6.28  																																																			+-Applying beta-rule and splitting (421), into two cases.
% 22.79/6.28  																																																			|-Branch one:
% 22.79/6.28  																																																			| (517)  ~ m2_relset_1(all_0_15_15, all_46_0_46, all_46_0_46)
% 22.79/6.28  																																																			|
% 22.79/6.28  																																																				| From (186)(186) and (517) follows:
% 22.79/6.28  																																																				| (494)  ~ m2_relset_1(all_0_15_15, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																																				|
% 22.79/6.28  																																																				| Using (251) and (494) yields:
% 22.79/6.28  																																																				| (206) $false
% 22.79/6.28  																																																				|
% 22.79/6.28  																																																				|-The branch is then unsatisfiable
% 22.79/6.28  																																																			|-Branch two:
% 22.79/6.28  																																																			| (250) m2_relset_1(all_0_15_15, all_46_0_46, all_46_0_46)
% 22.79/6.28  																																																			| (521)  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) | v2_funct_1(all_0_15_15)
% 22.79/6.28  																																																			|
% 22.79/6.28  																																																				| From (186)(186) and (250) follows:
% 22.79/6.28  																																																				| (251) m2_relset_1(all_0_15_15, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																																				|
% 22.79/6.28  																																																				| Instantiating formula (94) with all_0_13_13, all_0_15_15, all_0_14_14, all_0_17_17, all_0_18_18, all_0_17_17, all_0_18_18, all_0_17_17, all_0_18_18 and discharging atoms k8_group_6(all_0_18_18, all_0_18_18, all_0_18_18, all_0_14_14, all_0_15_15) = all_0_13_13, u1_struct_0(all_0_18_18) = all_0_17_17, v4_group_6(all_0_14_14, all_0_18_18, all_0_18_18), v4_group_6(all_0_15_15, all_0_18_18, all_0_18_18), m2_relset_1(all_0_14_14, all_0_17_17, all_0_17_17), m2_relset_1(all_0_15_15, all_0_17_17, all_0_17_17), v1_group_6(all_0_14_14, all_0_18_18, all_0_18_18), v1_group_6(all_0_15_15, all_0_18_18, all_0_18_18), v1_funct_2(all_0_14_14, all_0_17_17, all_0_17_17), v1_funct_2(all_0_15_15, all_0_17_17, all_0_17_17), v1_funct_1(all_0_14_14), v1_funct_1(all_0_15_15), l1_group_1(all_0_18_18), v4_group_1(all_0_18_18), v3_group_1(all_0_18_18),  ~ v3_struct_0(all_0_18_18), yields:
% 22.79/6.28  																																																				| (523) v4_group_6(all_0_13_13, all_0_18_18, all_0_18_18)
% 22.79/6.28  																																																				|
% 22.79/6.28  																																																				| Instantiating formula (144) with all_0_13_13 and discharging atoms v4_group_6(all_0_13_13, all_0_18_18, all_0_18_18), m2_relset_1(all_0_13_13, all_0_17_17, all_0_17_17), v1_group_6(all_0_13_13, all_0_18_18, all_0_18_18), v1_funct_2(all_0_13_13, all_0_17_17, all_0_17_17), v1_funct_1(all_0_13_13), yields:
% 22.79/6.28  																																																				| (524) r2_hidden(all_0_13_13, all_36_0_42)
% 22.79/6.28  																																																				|
% 22.79/6.28  																																																				| From (184) and (524) follows:
% 22.79/6.28  																																																				| (525) r2_hidden(all_0_13_13, all_0_16_16)
% 22.79/6.28  																																																				|
% 22.79/6.28  																																																				| Instantiating formula (168) with all_0_13_13 and discharging atoms v1_group_6(all_0_13_13, all_0_18_18, all_0_18_18), v1_funct_1(all_0_13_13), r2_hidden(all_0_13_13, all_0_16_16), yields:
% 22.79/6.28  																																																				| (526)  ~ m2_relset_1(all_0_13_13, all_46_0_46, all_46_0_46) |  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ v1_funct_2(all_0_13_13, all_46_0_46, all_46_0_46) | v3_group_6(all_0_13_13, all_0_18_18, all_0_18_18)
% 22.79/6.28  																																																				|
% 22.79/6.28  																																																				| Instantiating formula (166) with all_0_13_13 and discharging atoms v1_group_6(all_0_13_13, all_0_18_18, all_0_18_18), v1_funct_1(all_0_13_13), r2_hidden(all_0_13_13, all_0_16_16), yields:
% 22.79/6.28  																																																				| (527)  ~ m2_relset_1(all_0_13_13, all_46_0_46, all_46_0_46) |  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ v1_funct_2(all_0_13_13, all_46_0_46, all_46_0_46) | v2_funct_1(all_0_13_13)
% 22.79/6.28  																																																				|
% 22.79/6.28  																																																				| Instantiating formula (147) with all_0_13_13 and discharging atoms m2_relset_1(all_0_13_13, all_0_17_17, all_0_17_17), v1_group_6(all_0_13_13, all_0_18_18, all_0_18_18), v1_funct_2(all_0_13_13, all_0_17_17, all_0_17_17), v1_funct_1(all_0_13_13), yields:
% 22.79/6.28  																																																				| (528)  ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17) |  ~ r2_hidden(all_0_13_13, all_39_0_43) | v2_funct_1(all_0_13_13)
% 22.79/6.28  																																																				|
% 22.79/6.28  																																																				| Instantiating formula (110) with all_0_16_16, all_0_13_13 and discharging atoms r2_hidden(all_0_13_13, all_0_16_16), yields:
% 22.79/6.28  																																																				| (529) m1_subset_1(all_0_13_13, all_0_16_16)
% 22.79/6.28  																																																				|
% 22.79/6.28  																																																				+-Applying beta-rule and splitting (527), into two cases.
% 22.79/6.28  																																																				|-Branch one:
% 22.79/6.28  																																																				| (530)  ~ v1_funct_2(all_0_13_13, all_46_0_46, all_46_0_46)
% 22.79/6.28  																																																				|
% 22.79/6.28  																																																					| From (186)(186) and (530) follows:
% 22.79/6.28  																																																					| (531)  ~ v1_funct_2(all_0_13_13, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																																					|
% 22.79/6.28  																																																					| Using (381) and (531) yields:
% 22.79/6.28  																																																					| (206) $false
% 22.79/6.28  																																																					|
% 22.79/6.28  																																																					|-The branch is then unsatisfiable
% 22.79/6.28  																																																				|-Branch two:
% 22.79/6.28  																																																				| (533) v1_funct_2(all_0_13_13, all_46_0_46, all_46_0_46)
% 22.79/6.28  																																																				| (534)  ~ m2_relset_1(all_0_13_13, all_46_0_46, all_46_0_46) |  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) | v2_funct_1(all_0_13_13)
% 22.79/6.28  																																																				|
% 22.79/6.28  																																																					| From (186)(186) and (533) follows:
% 22.79/6.28  																																																					| (381) v1_funct_2(all_0_13_13, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																																					|
% 22.79/6.28  																																																					+-Applying beta-rule and splitting (526), into two cases.
% 22.79/6.28  																																																					|-Branch one:
% 22.79/6.28  																																																					| (530)  ~ v1_funct_2(all_0_13_13, all_46_0_46, all_46_0_46)
% 22.79/6.28  																																																					|
% 22.79/6.28  																																																						| From (186)(186) and (530) follows:
% 22.79/6.28  																																																						| (531)  ~ v1_funct_2(all_0_13_13, all_0_17_17, all_0_17_17)
% 22.79/6.28  																																																						|
% 22.79/6.28  																																																						| Using (381) and (531) yields:
% 22.79/6.28  																																																						| (206) $false
% 22.79/6.28  																																																						|
% 22.79/6.28  																																																						|-The branch is then unsatisfiable
% 22.79/6.28  																																																					|-Branch two:
% 22.79/6.28  																																																					| (533) v1_funct_2(all_0_13_13, all_46_0_46, all_46_0_46)
% 22.79/6.28  																																																					| (540)  ~ m2_relset_1(all_0_13_13, all_46_0_46, all_46_0_46) |  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) | v3_group_6(all_0_13_13, all_0_18_18, all_0_18_18)
% 22.79/6.29  																																																					|
% 22.79/6.29  																																																						+-Applying beta-rule and splitting (540), into two cases.
% 22.79/6.29  																																																						|-Branch one:
% 22.79/6.29  																																																						| (541)  ~ m2_relset_1(all_0_13_13, all_46_0_46, all_46_0_46)
% 22.79/6.29  																																																						|
% 22.79/6.29  																																																							| From (186)(186) and (541) follows:
% 22.79/6.29  																																																							| (542)  ~ m2_relset_1(all_0_13_13, all_0_17_17, all_0_17_17)
% 22.79/6.29  																																																							|
% 22.79/6.29  																																																							| Using (303) and (542) yields:
% 22.79/6.29  																																																							| (206) $false
% 22.79/6.29  																																																							|
% 22.79/6.29  																																																							|-The branch is then unsatisfiable
% 22.79/6.29  																																																						|-Branch two:
% 22.79/6.29  																																																						| (544) m2_relset_1(all_0_13_13, all_46_0_46, all_46_0_46)
% 22.79/6.29  																																																						| (545)  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) | v3_group_6(all_0_13_13, all_0_18_18, all_0_18_18)
% 22.79/6.29  																																																						|
% 22.79/6.29  																																																							+-Applying beta-rule and splitting (545), into two cases.
% 22.79/6.29  																																																							|-Branch one:
% 22.79/6.29  																																																							| (234)  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46)
% 22.79/6.29  																																																							|
% 22.79/6.29  																																																								| From (186)(186) and (234) follows:
% 22.79/6.29  																																																								| (205)  ~ m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.29  																																																								|
% 22.79/6.29  																																																								| Using (188) and (205) yields:
% 22.79/6.29  																																																								| (206) $false
% 22.79/6.29  																																																								|
% 22.79/6.29  																																																								|-The branch is then unsatisfiable
% 22.79/6.29  																																																							|-Branch two:
% 22.79/6.29  																																																							| (237) m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46)
% 22.79/6.29  																																																							| (550) v3_group_6(all_0_13_13, all_0_18_18, all_0_18_18)
% 22.79/6.29  																																																							|
% 22.79/6.29  																																																								| From (186)(186) and (237) follows:
% 22.79/6.29  																																																								| (188) m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.29  																																																								|
% 22.79/6.29  																																																								+-Applying beta-rule and splitting (528), into two cases.
% 22.79/6.29  																																																								|-Branch one:
% 22.79/6.29  																																																								| (204)  ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17)
% 22.79/6.29  																																																								|
% 22.79/6.29  																																																									| From (181) and (204) follows:
% 22.79/6.29  																																																									| (205)  ~ m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.29  																																																									|
% 22.79/6.29  																																																									| Using (188) and (205) yields:
% 22.79/6.29  																																																									| (206) $false
% 22.79/6.29  																																																									|
% 22.79/6.29  																																																									|-The branch is then unsatisfiable
% 22.79/6.29  																																																								|-Branch two:
% 22.79/6.29  																																																								| (207) m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17)
% 22.79/6.29  																																																								| (556)  ~ r2_hidden(all_0_13_13, all_39_0_43) | v2_funct_1(all_0_13_13)
% 22.79/6.29  																																																								|
% 22.79/6.29  																																																									| From (181) and (207) follows:
% 22.79/6.29  																																																									| (188) m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.29  																																																									|
% 22.79/6.29  																																																									| Instantiating formula (40) with all_0_13_13, all_0_16_16, all_0_17_17, all_0_17_17 and discharging atoms m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17), m1_subset_1(all_0_13_13, all_0_16_16),  ~ v1_xboole_0(all_0_17_17),  ~ m2_fraenkel(all_0_13_13, all_0_17_17, all_0_17_17, all_0_16_16), yields:
% 22.79/6.29  																																																									| (206) $false
% 22.79/6.29  																																																									|
% 22.79/6.29  																																																									|-The branch is then unsatisfiable
% 22.79/6.29  					|-Branch two:
% 22.79/6.29  					| (463)  ~ v1_funct_2(all_0_14_14, all_46_0_46, all_46_0_46)
% 22.79/6.29  					| (560)  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ m2_fraenkel(all_0_14_14, all_46_0_46, all_46_0_46, all_0_16_16)
% 22.79/6.29  					|
% 22.79/6.29  						| From (186)(186) and (463) follows:
% 22.79/6.29  						| (355)  ~ v1_funct_2(all_0_14_14, all_0_17_17, all_0_17_17)
% 22.79/6.29  						|
% 22.79/6.29  						+-Applying beta-rule and splitting (194), into two cases.
% 22.79/6.29  						|-Branch one:
% 22.79/6.29  						| (221) v1_funct_2(all_0_14_14, all_0_17_17, all_0_17_17)
% 22.79/6.29  						|
% 22.79/6.29  							| Using (221) and (355) yields:
% 22.79/6.29  							| (206) $false
% 22.79/6.29  							|
% 22.79/6.29  							|-The branch is then unsatisfiable
% 22.79/6.29  						|-Branch two:
% 22.79/6.29  						| (355)  ~ v1_funct_2(all_0_14_14, all_0_17_17, all_0_17_17)
% 22.79/6.29  						| (565)  ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17) |  ~ m2_fraenkel(all_0_14_14, all_0_17_17, all_0_17_17, all_39_0_43)
% 22.79/6.29  						|
% 22.79/6.29  							+-Applying beta-rule and splitting (565), into two cases.
% 22.79/6.29  							|-Branch one:
% 22.79/6.29  							| (204)  ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17)
% 22.79/6.29  							|
% 22.79/6.29  								| From (181) and (204) follows:
% 22.79/6.29  								| (205)  ~ m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.29  								|
% 22.79/6.29  								| Using (188) and (205) yields:
% 22.79/6.29  								| (206) $false
% 22.79/6.29  								|
% 22.79/6.29  								|-The branch is then unsatisfiable
% 22.79/6.29  							|-Branch two:
% 22.79/6.29  							| (207) m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17)
% 22.79/6.29  							| (210)  ~ m2_fraenkel(all_0_14_14, all_0_17_17, all_0_17_17, all_39_0_43)
% 22.79/6.29  							|
% 22.79/6.29  								| From (181) and (210) follows:
% 22.79/6.29  								| (211)  ~ m2_fraenkel(all_0_14_14, all_0_17_17, all_0_17_17, all_0_16_16)
% 22.79/6.29  								|
% 22.79/6.29  								| Using (56) and (211) yields:
% 22.79/6.29  								| (206) $false
% 22.79/6.29  								|
% 22.79/6.29  								|-The branch is then unsatisfiable
% 22.79/6.29  				|-Branch two:
% 22.79/6.29  				| (417)  ~ v1_funct_2(all_0_15_15, all_46_0_46, all_46_0_46)
% 22.79/6.29  				| (574)  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ m2_fraenkel(all_0_15_15, all_46_0_46, all_46_0_46, all_0_16_16)
% 22.79/6.29  				|
% 22.79/6.29  					+-Applying beta-rule and splitting (195), into two cases.
% 22.79/6.29  					|-Branch one:
% 22.79/6.29  					| (204)  ~ m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17)
% 22.79/6.29  					|
% 22.79/6.29  						| From (181) and (204) follows:
% 22.79/6.29  						| (205)  ~ m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.29  						|
% 22.79/6.29  						| Using (188) and (205) yields:
% 22.79/6.29  						| (206) $false
% 22.79/6.29  						|
% 22.79/6.29  						|-The branch is then unsatisfiable
% 22.79/6.29  					|-Branch two:
% 22.79/6.29  					| (207) m1_fraenkel(all_39_0_43, all_0_17_17, all_0_17_17)
% 22.79/6.29  					| (226)  ~ m2_fraenkel(all_0_15_15, all_0_17_17, all_0_17_17, all_39_0_43) | m2_relset_1(all_0_15_15, all_0_17_17, all_0_17_17)
% 22.79/6.29  					|
% 22.79/6.29  						| From (181) and (207) follows:
% 22.79/6.29  						| (188) m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.29  						|
% 22.79/6.29  						+-Applying beta-rule and splitting (574), into two cases.
% 22.79/6.29  						|-Branch one:
% 22.79/6.29  						| (234)  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46)
% 22.79/6.29  						|
% 22.79/6.29  							| From (186)(186) and (234) follows:
% 22.79/6.29  							| (205)  ~ m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.29  							|
% 22.79/6.29  							| Using (188) and (205) yields:
% 22.79/6.29  							| (206) $false
% 22.79/6.29  							|
% 22.79/6.29  							|-The branch is then unsatisfiable
% 22.79/6.29  						|-Branch two:
% 22.79/6.29  						| (237) m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46)
% 22.79/6.29  						| (246)  ~ m2_fraenkel(all_0_15_15, all_46_0_46, all_46_0_46, all_0_16_16)
% 22.79/6.29  						|
% 22.79/6.29  							| From (186)(186) and (246) follows:
% 22.79/6.29  							| (241)  ~ m2_fraenkel(all_0_15_15, all_0_17_17, all_0_17_17, all_0_16_16)
% 22.79/6.29  							|
% 22.79/6.29  							| Using (55) and (241) yields:
% 22.79/6.29  							| (206) $false
% 22.79/6.29  							|
% 22.79/6.29  							|-The branch is then unsatisfiable
% 22.79/6.29  			|-Branch two:
% 22.79/6.29  			| (588)  ~ v1_funct_1(all_0_14_14)
% 22.79/6.29  			| (560)  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ m2_fraenkel(all_0_14_14, all_46_0_46, all_46_0_46, all_0_16_16)
% 22.79/6.29  			|
% 22.79/6.29  				+-Applying beta-rule and splitting (560), into two cases.
% 22.79/6.29  				|-Branch one:
% 22.79/6.29  				| (234)  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46)
% 22.79/6.29  				|
% 22.79/6.29  					| From (186)(186) and (234) follows:
% 22.79/6.29  					| (205)  ~ m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.29  					|
% 22.79/6.29  					| Using (188) and (205) yields:
% 22.79/6.29  					| (206) $false
% 22.79/6.29  					|
% 22.79/6.29  					|-The branch is then unsatisfiable
% 22.79/6.29  				|-Branch two:
% 22.79/6.29  				| (237) m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46)
% 22.79/6.29  				| (594)  ~ m2_fraenkel(all_0_14_14, all_46_0_46, all_46_0_46, all_0_16_16)
% 22.79/6.29  				|
% 22.79/6.29  					| From (186)(186) and (594) follows:
% 22.79/6.29  					| (211)  ~ m2_fraenkel(all_0_14_14, all_0_17_17, all_0_17_17, all_0_16_16)
% 22.79/6.29  					|
% 22.79/6.29  					| Using (56) and (211) yields:
% 22.79/6.29  					| (206) $false
% 22.79/6.29  					|
% 22.79/6.29  					|-The branch is then unsatisfiable
% 22.79/6.29  		|-Branch two:
% 22.79/6.29  		| (597)  ~ v1_funct_1(all_0_15_15)
% 22.79/6.29  		| (574)  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46) |  ~ m2_fraenkel(all_0_15_15, all_46_0_46, all_46_0_46, all_0_16_16)
% 22.79/6.29  		|
% 22.79/6.29  			+-Applying beta-rule and splitting (574), into two cases.
% 22.79/6.29  			|-Branch one:
% 22.79/6.29  			| (234)  ~ m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46)
% 22.79/6.29  			|
% 22.79/6.29  				| From (186)(186) and (234) follows:
% 22.79/6.29  				| (205)  ~ m1_fraenkel(all_0_16_16, all_0_17_17, all_0_17_17)
% 22.79/6.29  				|
% 22.79/6.29  				| Using (188) and (205) yields:
% 22.79/6.29  				| (206) $false
% 22.79/6.29  				|
% 22.79/6.29  				|-The branch is then unsatisfiable
% 22.79/6.29  			|-Branch two:
% 22.79/6.29  			| (237) m1_fraenkel(all_0_16_16, all_46_0_46, all_46_0_46)
% 22.79/6.29  			| (246)  ~ m2_fraenkel(all_0_15_15, all_46_0_46, all_46_0_46, all_0_16_16)
% 22.79/6.29  			|
% 22.79/6.29  				| From (186)(186) and (246) follows:
% 22.79/6.29  				| (241)  ~ m2_fraenkel(all_0_15_15, all_0_17_17, all_0_17_17, all_0_16_16)
% 22.79/6.29  				|
% 22.79/6.29  				| Using (55) and (241) yields:
% 22.79/6.29  				| (206) $false
% 22.79/6.29  				|
% 22.79/6.29  				|-The branch is then unsatisfiable
% 22.79/6.30  % SZS output end Proof for theBenchmark
% 22.79/6.30  
% 22.79/6.30  5702ms
%------------------------------------------------------------------------------