%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : LAT291+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n020.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 : Sun Jul 17 04:32:30 EDT 2022

% Result   : Theorem 5.50s 1.89s
% Output   : Proof 9.62s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LAT291+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : ePrincess-casc -timeout=%d %s
% 0.12/0.33  % Computer : n020.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 : Thu Jun 30 11:53:45 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.55/0.58          ____       _                          
% 0.55/0.58    ___  / __ \_____(_)___  ________  __________
% 0.55/0.58   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.55/0.58  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.55/0.58  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.55/0.58  
% 0.55/0.58  A Theorem Prover for First-Order Logic
% 0.55/0.58  (ePrincess v.1.0)
% 0.55/0.58  
% 0.55/0.58  (c) Philipp Rümmer, 2009-2015
% 0.55/0.58  (c) Peter Backeman, 2014-2015
% 0.55/0.58  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.55/0.58  Free software under GNU Lesser General Public License (LGPL).
% 0.55/0.58  Bug reports to peter@backeman.se
% 0.55/0.58  
% 0.55/0.58  For more information, visit http://user.uu.se/~petba168/breu/
% 0.55/0.58  
% 0.55/0.58  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.55/0.63  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.29/1.04  Prover 0: Preprocessing ...
% 3.96/1.49  Prover 0: Warning: ignoring some quantifiers
% 3.96/1.53  Prover 0: Constructing countermodel ...
% 5.50/1.89  Prover 0: proved (1262ms)
% 5.50/1.89  
% 5.50/1.89  No countermodel exists, formula is valid
% 5.50/1.89  % SZS status Theorem for theBenchmark
% 5.50/1.89  
% 5.50/1.89  Generating proof ... Warning: ignoring some quantifiers
% 8.56/2.58  found it (size 128)
% 8.56/2.58  
% 8.56/2.58  % SZS output start Proof for theBenchmark
% 8.56/2.58  Assumed formulas after preprocessing and simplification: 
% 8.56/2.58  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] : ( ~ (v6 = v2) & k9_lopclset(v0) = v4 & k8_funct_2(v1, v3, v4, v5) = v6 & k6_lattices(v0) = v5 & u1_struct_0(v0) = v1 & k7_lopclset(v0) = v2 & k1_zfmisc_1(v2) = v3 & l1_struct_0(v13) & l1_struct_0(v7) & l2_lattices(v12) & l1_lattices(v14) & v12_lattices(v9) & v16_lattices(v9) & v11_lattices(v9) & v15_lattices(v9) & v14_lattices(v9) & v13_lattices(v9) & v9_lattices(v9) & v8_lattices(v9) & v7_lattices(v9) & v6_lattices(v9) & v5_lattices(v9) & v4_lattices(v9) & v1_finset_1(v10) & v1_xboole_0(k1_xboole_0) & v5_membered(v8) & v5_membered(k1_xboole_0) & v4_membered(v8) & v4_membered(k1_xboole_0) & v3_membered(v8) & v3_membered(k1_xboole_0) & v2_membered(v8) & v2_membered(k1_xboole_0) & v1_membered(v8) & v1_membered(k1_xboole_0) & l3_lattices(v11) & l3_lattices(v9) & l3_lattices(v0) & v17_lattices(v9) & v17_lattices(v0) & v10_lattices(v9) & v10_lattices(v0) &  ~ v1_xboole_0(v10) &  ~ v1_xboole_0(v8) &  ~ v3_realset2(v9) &  ~ v3_realset2(v0) &  ~ v3_struct_0(v9) &  ~ v3_struct_0(v7) &  ~ v3_struct_0(v0) &  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] : (v21 = k1_xboole_0 |  ~ (k9_lopclset(v15) = v19) |  ~ (k8_funct_2(v16, v18, v19, v20) = v21) |  ~ (u1_struct_0(v15) = v16) |  ~ (k5_lattices(v15) = v20) |  ~ (k7_lopclset(v15) = v17) |  ~ (k1_zfmisc_1(v17) = v18) |  ~ l3_lattices(v15) |  ~ v17_lattices(v15) |  ~ v10_lattices(v15) | v3_realset2(v15) | v3_struct_0(v15)) &  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] : (v16 = v15 |  ~ (k8_funct_2(v20, v19, v18, v17) = v16) |  ~ (k8_funct_2(v20, v19, v18, v17) = v15)) &  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : ( ~ (k8_funct_2(v15, v16, v17, v18) = v19) |  ~ v1_funct_2(v17, v15, v16) |  ~ v1_funct_1(v17) |  ~ m1_relset_1(v17, v15, v16) |  ~ m1_subset_1(v18, v15) | k1_funct_1(v17, v18) = v19 | v1_xboole_0(v15)) &  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : ( ~ (k8_funct_2(v15, v16, v17, v18) = v19) |  ~ v1_funct_2(v17, v15, v16) |  ~ v1_funct_1(v17) |  ~ m1_relset_1(v17, v15, v16) |  ~ m1_subset_1(v18, v15) | v1_xboole_0(v15) | m1_subset_1(v19, v16)) &  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] : (v16 = v15 |  ~ (k1_funct_1(v18, v17) = v16) |  ~ (k1_funct_1(v18, v17) = v15)) &  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] : (v16 = v15 |  ~ (k4_xboole_0(v18, v17) = v16) |  ~ (k4_xboole_0(v18, v17) = v15)) &  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] : (v16 = v15 |  ~ (k7_lattices(v18, v17) = v16) |  ~ (k7_lattices(v18, v17) = v15)) &  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] : (v16 = v15 |  ~ (k2_zfmisc_1(v18, v17) = v16) |  ~ (k2_zfmisc_1(v18, v17) = v15)) &  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k2_zfmisc_1(v15, v16) = v18) |  ~ m2_relset_1(v17, v15, v16) |  ? [v19] : (k1_zfmisc_1(v18) = v19 & m1_subset_1(v17, v19))) &  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k1_zfmisc_1(v17) = v18) |  ~ v1_xboole_0(v17) |  ~ m1_subset_1(v16, v18) |  ~ r2_hidden(v15, v16)) &  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k1_zfmisc_1(v17) = v18) |  ~ m1_subset_1(v16, v18) |  ~ r2_hidden(v15, v16) | m1_subset_1(v15, v17)) &  ? [v15] :  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k2_zfmisc_1(v16, v17) = v18) | v1_relat_1(v15) |  ? [v19] : (k1_zfmisc_1(v18) = v19 &  ~ m1_subset_1(v15, v19))) &  ! [v15] :  ! [v16] :  ! [v17] : (v16 = v15 |  ~ (k9_lopclset(v17) = v16) |  ~ (k9_lopclset(v17) = v15)) &  ! [v15] :  ! [v16] :  ! [v17] : (v16 = v15 |  ~ (k8_lopclset(v17) = v16) |  ~ (k8_lopclset(v17) = v15)) &  ! [v15] :  ! [v16] :  ! [v17] : (v16 = v15 |  ~ (k6_lattices(v17) = v16) |  ~ (k6_lattices(v17) = v15)) &  ! [v15] :  ! [v16] :  ! [v17] : (v16 = v15 |  ~ (u1_struct_0(v17) = v16) |  ~ (u1_struct_0(v17) = v15)) &  ! [v15] :  ! [v16] :  ! [v17] : (v16 = v15 |  ~ (k5_lattices(v17) = v16) |  ~ (k5_lattices(v17) = v15)) &  ! [v15] :  ! [v16] :  ! [v17] : (v16 = v15 |  ~ (k7_lopclset(v17) = v16) |  ~ (k7_lopclset(v17) = v15)) &  ! [v15] :  ! [v16] :  ! [v17] : (v16 = v15 |  ~ (a_1_1_lopclset(v17) = v16) |  ~ (a_1_1_lopclset(v17) = v15)) &  ! [v15] :  ! [v16] :  ! [v17] : (v16 = v15 |  ~ (k1_zfmisc_1(v17) = v16) |  ~ (k1_zfmisc_1(v17) = v15)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k4_xboole_0(v15, v16) = v17) |  ~ v1_finset_1(v15) | v1_finset_1(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k4_xboole_0(v15, v16) = v17) |  ~ v5_membered(v15) | v5_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k4_xboole_0(v15, v16) = v17) |  ~ v5_membered(v15) | v4_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k4_xboole_0(v15, v16) = v17) |  ~ v5_membered(v15) | v3_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k4_xboole_0(v15, v16) = v17) |  ~ v5_membered(v15) | v2_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k4_xboole_0(v15, v16) = v17) |  ~ v5_membered(v15) | v1_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k4_xboole_0(v15, v16) = v17) |  ~ v4_membered(v15) | v4_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k4_xboole_0(v15, v16) = v17) |  ~ v4_membered(v15) | v3_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k4_xboole_0(v15, v16) = v17) |  ~ v4_membered(v15) | v2_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k4_xboole_0(v15, v16) = v17) |  ~ v4_membered(v15) | v1_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k4_xboole_0(v15, v16) = v17) |  ~ v3_membered(v15) | v3_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k4_xboole_0(v15, v16) = v17) |  ~ v3_membered(v15) | v2_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k4_xboole_0(v15, v16) = v17) |  ~ v3_membered(v15) | v1_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k4_xboole_0(v15, v16) = v17) |  ~ v2_membered(v15) | v2_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k4_xboole_0(v15, v16) = v17) |  ~ v2_membered(v15) | v1_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k4_xboole_0(v15, v16) = v17) |  ~ v1_membered(v15) | v1_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k7_lattices(v15, v16) = v17) |  ~ (k5_lattices(v15) = v16) |  ~ l3_lattices(v15) |  ~ v17_lattices(v15) |  ~ v10_lattices(v15) | k6_lattices(v15) = v17 | v3_struct_0(v15)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k7_lattices(v15, v16) = v17) |  ~ l3_lattices(v15) | v3_struct_0(v15) |  ? [v18] : (u1_struct_0(v15) = v18 & ( ~ m1_subset_1(v16, v18) | m1_subset_1(v17, v18)))) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (a_1_1_lopclset(v16) = v17) |  ~ v1_filter_0(v15, v16) |  ~ m1_filter_0(v15, v16) |  ~ l3_lattices(v16) |  ~ v17_lattices(v16) |  ~ v10_lattices(v16) | r2_hidden(v15, v17) | v3_realset2(v16) | v3_struct_0(v16)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (a_1_1_lopclset(v16) = v17) |  ~ r2_hidden(v15, v17) |  ~ l3_lattices(v16) |  ~ v17_lattices(v16) |  ~ v10_lattices(v16) | v3_realset2(v16) | v3_struct_0(v16) | (v1_filter_0(v15, v16) & m1_filter_0(v15, v16))) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k2_zfmisc_1(v15, v16) = v17) |  ~ v1_finset_1(v16) |  ~ v1_finset_1(v15) | v1_finset_1(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k1_zfmisc_1(v16) = v17) |  ~ r1_tarski(v15, v16) | m1_subset_1(v15, v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k1_zfmisc_1(v16) = v17) |  ~ m1_subset_1(v15, v17) | r1_tarski(v15, v16)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) |  ~ v1_finset_1(v15) |  ~ m1_subset_1(v17, v16) | v1_finset_1(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) |  ~ v5_membered(v15) |  ~ m1_subset_1(v17, v16) | v5_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) |  ~ v5_membered(v15) |  ~ m1_subset_1(v17, v16) | v4_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) |  ~ v5_membered(v15) |  ~ m1_subset_1(v17, v16) | v3_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) |  ~ v5_membered(v15) |  ~ m1_subset_1(v17, v16) | v2_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) |  ~ v5_membered(v15) |  ~ m1_subset_1(v17, v16) | v1_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) |  ~ v4_membered(v15) |  ~ m1_subset_1(v17, v16) | v4_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) |  ~ v4_membered(v15) |  ~ m1_subset_1(v17, v16) | v3_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) |  ~ v4_membered(v15) |  ~ m1_subset_1(v17, v16) | v2_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) |  ~ v4_membered(v15) |  ~ m1_subset_1(v17, v16) | v1_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) |  ~ v3_membered(v15) |  ~ m1_subset_1(v17, v16) | v3_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) |  ~ v3_membered(v15) |  ~ m1_subset_1(v17, v16) | v2_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) |  ~ v3_membered(v15) |  ~ m1_subset_1(v17, v16) | v1_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) |  ~ v2_membered(v15) |  ~ m1_subset_1(v17, v16) | v2_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) |  ~ v2_membered(v15) |  ~ m1_subset_1(v17, v16) | v1_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) |  ~ m1_subset_1(v17, v16) |  ~ v1_membered(v15) | v1_membered(v17)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ m2_relset_1(v17, v15, v16) | m1_relset_1(v17, v15, v16)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ v1_funct_2(v17, v15, v16) |  ~ v1_funct_1(v17) |  ~ m1_relset_1(v17, v15, v16) |  ~ v1_xboole_0(v17) | v1_xboole_0(v16) | v1_xboole_0(v15)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ v1_funct_2(v17, v15, v16) |  ~ v1_funct_1(v17) |  ~ m1_relset_1(v17, v15, v16) | v1_partfun1(v17, v15, v16) | v1_xboole_0(v16) | v1_xboole_0(v15)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ v1_funct_2(v17, v15, v16) |  ~ v1_funct_1(v17) |  ~ m1_relset_1(v17, v15, v16) | v1_partfun1(v17, v15, v16) | v1_xboole_0(v16)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ v1_partfun1(v17, v15, v16) |  ~ v1_funct_1(v17) |  ~ m1_relset_1(v17, v15, v16) | v1_funct_2(v17, v15, v16)) &  ! [v15] :  ! [v16] :  ! [v17] : ( ~ m1_relset_1(v17, v15, v16) | m2_relset_1(v17, v15, v16)) &  ! [v15] :  ! [v16] : (v16 = v15 |  ~ (k4_xboole_0(v15, k1_xboole_0) = v16)) &  ! [v15] :  ! [v16] : (v16 = v15 |  ~ v1_xboole_0(v16) |  ~ v1_xboole_0(v15)) &  ! [v15] :  ! [v16] : (v16 = k1_xboole_0 |  ~ (k4_xboole_0(k1_xboole_0, v15) = v16)) &  ! [v15] :  ! [v16] : ( ~ (k9_lopclset(v15) = v16) |  ~ l3_lattices(v15) |  ~ v17_lattices(v15) |  ~ v10_lattices(v15) | k8_lopclset(v15) = v16 | v3_realset2(v15) | v3_struct_0(v15)) &  ! [v15] :  ! [v16] : ( ~ (k9_lopclset(v15) = v16) |  ~ l3_lattices(v15) |  ~ v17_lattices(v15) |  ~ v10_lattices(v15) | v1_funct_1(v16) | v3_realset2(v15) | v3_struct_0(v15)) &  ! [v15] :  ! [v16] : ( ~ (k9_lopclset(v15) = v16) |  ~ l3_lattices(v15) |  ~ v17_lattices(v15) |  ~ v10_lattices(v15) | v3_realset2(v15) | v3_struct_0(v15) |  ? [v17] :  ? [v18] :  ? [v19] : (u1_struct_0(v15) = v17 & k7_lopclset(v15) = v18 & k1_zfmisc_1(v18) = v19 & m2_relset_1(v16, v17, v19) & v1_funct_2(v16, v17, v19))) &  ! [v15] :  ! [v16] : ( ~ (k9_lopclset(v15) = v16) |  ~ l3_lattices(v15) |  ~ v17_lattices(v15) |  ~ v10_lattices(v15) | v3_realset2(v15) | v3_struct_0(v15) |  ? [v17] :  ? [v18] :  ? [v19] : (u1_struct_0(v15) = v17 & k7_lopclset(v15) = v18 & k1_zfmisc_1(v18) = v19 &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (k4_xboole_0(v18, v21) = v22) |  ~ (k8_funct_2(v17, v19, v16, v20) = v21) |  ~ m1_subset_1(v20, v17) |  ? [v23] : (k8_funct_2(v17, v19, v16, v23) = v22 & k7_lattices(v15, v20) = v23)) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (k8_funct_2(v17, v19, v16, v21) = v22) |  ~ (k7_lattices(v15, v20) = v21) |  ~ m1_subset_1(v20, v17) |  ? [v23] : (k4_xboole_0(v18, v23) = v22 & k8_funct_2(v17, v19, v16, v20) = v23)))) &  ! [v15] :  ! [v16] : ( ~ (k8_lopclset(v15) = v16) |  ~ l3_lattices(v15) |  ~ v17_lattices(v15) |  ~ v10_lattices(v15) | k9_lopclset(v15) = v16 | v3_realset2(v15) | v3_struct_0(v15)) &  ! [v15] :  ! [v16] : ( ~ (k8_lopclset(v15) = v16) |  ~ l3_lattices(v15) |  ~ v17_lattices(v15) |  ~ v10_lattices(v15) | v1_relat_1(v16) | v3_realset2(v15) | v3_struct_0(v15)) &  ! [v15] :  ! [v16] : ( ~ (k8_lopclset(v15) = v16) |  ~ l3_lattices(v15) |  ~ v17_lattices(v15) |  ~ v10_lattices(v15) | v1_funct_1(v16) | v3_realset2(v15) | v3_struct_0(v15)) &  ! [v15] :  ! [v16] : ( ~ (k6_lattices(v15) = v16) |  ~ l2_lattices(v15) | v3_struct_0(v15) |  ? [v17] : (u1_struct_0(v15) = v17 & m1_subset_1(v16, v17))) &  ! [v15] :  ! [v16] : ( ~ (k6_lattices(v15) = v16) |  ~ l3_lattices(v15) |  ~ v17_lattices(v15) |  ~ v10_lattices(v15) | v3_struct_0(v15) |  ? [v17] : (k7_lattices(v15, v17) = v16 & k5_lattices(v15) = v17)) &  ! [v15] :  ! [v16] : ( ~ (u1_struct_0(v15) = v16) |  ~ l1_struct_0(v15) |  ~ v1_xboole_0(v16) | v3_struct_0(v15)) &  ! [v15] :  ! [v16] : ( ~ (u1_struct_0(v15) = v16) |  ~ l1_struct_0(v15) | v3_struct_0(v15) |  ? [v17] :  ? [v18] : (k1_zfmisc_1(v16) = v17 & m1_subset_1(v18, v17) &  ~ v1_xboole_0(v18))) &  ! [v15] :  ! [v16] : ( ~ (u1_struct_0(v15) = v16) |  ~ l2_lattices(v15) | v3_struct_0(v15) |  ? [v17] : (k6_lattices(v15) = v17 & m1_subset_1(v17, v16))) &  ! [v15] :  ! [v16] : ( ~ (u1_struct_0(v15) = v16) |  ~ l1_lattices(v15) | v3_struct_0(v15) |  ? [v17] : (k5_lattices(v15) = v17 & m1_subset_1(v17, v16))) &  ! [v15] :  ! [v16] : ( ~ (u1_struct_0(v15) = v16) |  ~ l3_lattices(v15) |  ~ v17_lattices(v15) |  ~ v10_lattices(v15) | v3_realset2(v15) | v3_struct_0(v15) |  ? [v17] :  ? [v18] :  ? [v19] : (k9_lopclset(v15) = v19 & k7_lopclset(v15) = v17 & k1_zfmisc_1(v17) = v18 &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (k4_xboole_0(v17, v21) = v22) |  ~ (k8_funct_2(v16, v18, v19, v20) = v21) |  ~ m1_subset_1(v20, v16) |  ? [v23] : (k8_funct_2(v16, v18, v19, v23) = v22 & k7_lattices(v15, v20) = v23)) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (k8_funct_2(v16, v18, v19, v21) = v22) |  ~ (k7_lattices(v15, v20) = v21) |  ~ m1_subset_1(v20, v16) |  ? [v23] : (k4_xboole_0(v17, v23) = v22 & k8_funct_2(v16, v18, v19, v20) = v23)))) &  ! [v15] :  ! [v16] : ( ~ (u1_struct_0(v15) = v16) |  ~ l3_lattices(v15) |  ~ v17_lattices(v15) |  ~ v10_lattices(v15) | v3_realset2(v15) | v3_struct_0(v15) |  ? [v17] :  ? [v18] :  ? [v19] : (k9_lopclset(v15) = v17 & k7_lopclset(v15) = v18 & k1_zfmisc_1(v18) = v19 & m2_relset_1(v17, v16, v19) & v1_funct_2(v17, v16, v19) & v1_funct_1(v17))) &  ! [v15] :  ! [v16] : ( ~ (u1_struct_0(v15) = v16) |  ~ l3_lattices(v15) |  ~ v17_lattices(v15) |  ~ v10_lattices(v15) | v3_realset2(v15) | v3_struct_0(v15) |  ? [v17] :  ? [v18] :  ? [v19] : (k7_lopclset(v15) = v17 & k1_zfmisc_1(v18) = v19 & k1_zfmisc_1(v16) = v18 & m1_subset_1(v17, v19))) &  ! [v15] :  ! [v16] : ( ~ (u1_struct_0(v15) = v16) |  ~ l3_lattices(v15) |  ~ v10_lattices(v15) | v3_struct_0(v15) |  ? [v17] : (k1_zfmisc_1(v16) = v17 &  ! [v18] : ( ~ m1_filter_0(v18, v15) |  ~ v1_xboole_0(v18)) &  ! [v18] : ( ~ m1_filter_0(v18, v15) | m1_subset_1(v18, v17)))) &  ! [v15] :  ! [v16] : ( ~ (k5_lattices(v15) = v16) |  ~ l1_lattices(v15) | v3_struct_0(v15) |  ? [v17] : (u1_struct_0(v15) = v17 & m1_subset_1(v16, v17))) &  ! [v15] :  ! [v16] : ( ~ (k7_lopclset(v15) = v16) |  ~ v1_xboole_0(v16) |  ~ l3_lattices(v15) |  ~ v17_lattices(v15) |  ~ v10_lattices(v15) | v3_realset2(v15) | v3_struct_0(v15)) &  ! [v15] :  ! [v16] : ( ~ (k7_lopclset(v15) = v16) |  ~ l3_lattices(v15) |  ~ v17_lattices(v15) |  ~ v10_lattices(v15) | a_1_1_lopclset(v15) = v16 | v3_realset2(v15) | v3_struct_0(v15)) &  ! [v15] :  ! [v16] : ( ~ (k7_lopclset(v15) = v16) |  ~ l3_lattices(v15) |  ~ v17_lattices(v15) |  ~ v10_lattices(v15) | v3_realset2(v15) | v3_struct_0(v15) |  ? [v17] :  ? [v18] :  ? [v19] : (k9_lopclset(v15) = v19 & u1_struct_0(v15) = v17 & k1_zfmisc_1(v16) = v18 &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (k4_xboole_0(v16, v21) = v22) |  ~ (k8_funct_2(v17, v18, v19, v20) = v21) |  ~ m1_subset_1(v20, v17) |  ? [v23] : (k8_funct_2(v17, v18, v19, v23) = v22 & k7_lattices(v15, v20) = v23)) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (k8_funct_2(v17, v18, v19, v21) = v22) |  ~ (k7_lattices(v15, v20) = v21) |  ~ m1_subset_1(v20, v17) |  ? [v23] : (k4_xboole_0(v16, v23) = v22 & k8_funct_2(v17, v18, v19, v20) = v23)))) &  ! [v15] :  ! [v16] : ( ~ (k7_lopclset(v15) = v16) |  ~ l3_lattices(v15) |  ~ v17_lattices(v15) |  ~ v10_lattices(v15) | v3_realset2(v15) | v3_struct_0(v15) |  ? [v17] :  ? [v18] :  ? [v19] : (k9_lopclset(v15) = v17 & u1_struct_0(v15) = v18 & k1_zfmisc_1(v16) = v19 & m2_relset_1(v17, v18, v19) & v1_funct_2(v17, v18, v19) & v1_funct_1(v17))) &  ! [v15] :  ! [v16] : ( ~ (k7_lopclset(v15) = v16) |  ~ l3_lattices(v15) |  ~ v17_lattices(v15) |  ~ v10_lattices(v15) | v3_realset2(v15) | v3_struct_0(v15) |  ? [v17] :  ? [v18] :  ? [v19] : (u1_struct_0(v15) = v17 & k1_zfmisc_1(v18) = v19 & k1_zfmisc_1(v17) = v18 & m1_subset_1(v16, v19))) &  ! [v15] :  ! [v16] : ( ~ (a_1_1_lopclset(v15) = v16) |  ~ l3_lattices(v15) |  ~ v17_lattices(v15) |  ~ v10_lattices(v15) | k7_lopclset(v15) = v16 | v3_realset2(v15) | v3_struct_0(v15)) &  ! [v15] :  ! [v16] : ( ~ (k1_zfmisc_1(v15) = v16) |  ~ v1_xboole_0(v16)) &  ! [v15] :  ! [v16] : ( ~ (k1_zfmisc_1(v15) = v16) | v3_finsub_1(v16)) &  ! [v15] :  ! [v16] : ( ~ (k1_zfmisc_1(v15) = v16) | v1_finsub_1(v16)) &  ! [v15] :  ! [v16] : ( ~ (k1_zfmisc_1(v15) = v16) | v4_finsub_1(v16)) &  ! [v15] :  ! [v16] : ( ~ (k1_zfmisc_1(v15) = v16) | v1_xboole_0(v15) |  ? [v17] : (v1_finset_1(v17) & m1_subset_1(v17, v16) &  ~ v1_xboole_0(v17))) &  ! [v15] :  ! [v16] : ( ~ v1_xboole_0(v16) |  ~ r2_hidden(v15, v16)) &  ! [v15] :  ! [v16] : ( ~ v5_membered(v15) |  ~ m1_subset_1(v16, v15) | v4_ordinal2(v16)) &  ! [v15] :  ! [v16] : ( ~ v5_membered(v15) |  ~ m1_subset_1(v16, v15) | v1_int_1(v16)) &  ! [v15] :  ! [v16] : ( ~ v5_membered(v15) |  ~ m1_subset_1(v16, v15) | v1_rat_1(v16)) &  ! [v15] :  ! [v16] : ( ~ v5_membered(v15) |  ~ m1_subset_1(v16, v15) | v1_xreal_0(v16)) &  ! [v15] :  ! [v16] : ( ~ v5_membered(v15) |  ~ m1_subset_1(v16, v15) | v1_xcmplx_0(v16)) &  ! [v15] :  ! [v16] : ( ~ v4_membered(v15) |  ~ m1_subset_1(v16, v15) | v1_int_1(v16)) &  ! [v15] :  ! [v16] : ( ~ v4_membered(v15) |  ~ m1_subset_1(v16, v15) | v1_rat_1(v16)) &  ! [v15] :  ! [v16] : ( ~ v4_membered(v15) |  ~ m1_subset_1(v16, v15) | v1_xreal_0(v16)) &  ! [v15] :  ! [v16] : ( ~ v4_membered(v15) |  ~ m1_subset_1(v16, v15) | v1_xcmplx_0(v16)) &  ! [v15] :  ! [v16] : ( ~ v3_membered(v15) |  ~ m1_subset_1(v16, v15) | v1_rat_1(v16)) &  ! [v15] :  ! [v16] : ( ~ v3_membered(v15) |  ~ m1_subset_1(v16, v15) | v1_xreal_0(v16)) &  ! [v15] :  ! [v16] : ( ~ v3_membered(v15) |  ~ m1_subset_1(v16, v15) | v1_xcmplx_0(v16)) &  ! [v15] :  ! [v16] : ( ~ v2_membered(v15) |  ~ m1_subset_1(v16, v15) | v1_xreal_0(v16)) &  ! [v15] :  ! [v16] : ( ~ v2_membered(v15) |  ~ m1_subset_1(v16, v15) | v1_xcmplx_0(v16)) &  ! [v15] :  ! [v16] : ( ~ m1_subset_1(v16, v15) |  ~ v1_membered(v15) | v1_xcmplx_0(v16)) &  ! [v15] :  ! [v16] : ( ~ m1_subset_1(v15, v16) | v1_xboole_0(v16) | r2_hidden(v15, v16)) &  ! [v15] :  ! [v16] : ( ~ r2_hidden(v16, v15) |  ~ r2_hidden(v15, v16)) &  ! [v15] :  ! [v16] : ( ~ r2_hidden(v15, v16) | m1_subset_1(v15, v16)) &  ! [v15] : (v15 = k1_xboole_0 |  ~ v1_xboole_0(v15)) &  ! [v15] : ( ~ l2_lattices(v15) | l1_struct_0(v15)) &  ! [v15] : ( ~ l1_lattices(v15) | l1_struct_0(v15)) &  ! [v15] : ( ~ v16_lattices(v15) |  ~ v11_lattices(v15) |  ~ v15_lattices(v15) |  ~ l3_lattices(v15) | v17_lattices(v15) | v3_struct_0(v15)) &  ! [v15] : ( ~ v11_lattices(v15) |  ~ l3_lattices(v15) |  ~ v10_lattices(v15) | v12_lattices(v15) | v3_struct_0(v15)) &  ! [v15] : ( ~ v11_lattices(v15) |  ~ l3_lattices(v15) |  ~ v10_lattices(v15) | v9_lattices(v15) | v3_struct_0(v15)) &  ! [v15] : ( ~ v11_lattices(v15) |  ~ l3_lattices(v15) |  ~ v10_lattices(v15) | v8_lattices(v15) | v3_struct_0(v15)) &  ! [v15] : ( ~ v11_lattices(v15) |  ~ l3_lattices(v15) |  ~ v10_lattices(v15) | v7_lattices(v15) | v3_struct_0(v15)) &  ! [v15] : ( ~ v11_lattices(v15) |  ~ l3_lattices(v15) |  ~ v10_lattices(v15) | v6_lattices(v15) | v3_struct_0(v15)) &  ! [v15] : ( ~ v11_lattices(v15) |  ~ l3_lattices(v15) |  ~ v10_lattices(v15) | v5_lattices(v15) | v3_struct_0(v15)) &  ! [v15] : ( ~ v11_lattices(v15) |  ~ l3_lattices(v15) |  ~ v10_lattices(v15) | v4_lattices(v15) | v3_struct_0(v15)) &  ! [v15] : ( ~ v15_lattices(v15) |  ~ l3_lattices(v15) | v14_lattices(v15) | v3_struct_0(v15)) &  ! [v15] : ( ~ v15_lattices(v15) |  ~ l3_lattices(v15) | v13_lattices(v15) | v3_struct_0(v15)) &  ! [v15] : ( ~ v14_lattices(v15) |  ~ v13_lattices(v15) |  ~ l3_lattices(v15) | v15_lattices(v15) | v3_struct_0(v15)) &  ! [v15] : ( ~ v9_lattices(v15) |  ~ v8_lattices(v15) |  ~ v7_lattices(v15) |  ~ v6_lattices(v15) |  ~ v5_lattices(v15) |  ~ v4_lattices(v15) |  ~ l3_lattices(v15) | v10_lattices(v15) | v3_struct_0(v15)) &  ! [v15] : ( ~ v3_finsub_1(v15) |  ~ v1_finsub_1(v15) | v4_finsub_1(v15)) &  ! [v15] : ( ~ v4_finsub_1(v15) | v3_finsub_1(v15)) &  ! [v15] : ( ~ v4_finsub_1(v15) | v1_finsub_1(v15)) &  ! [v15] : ( ~ v1_xboole_0(v15) | v1_finset_1(v15)) &  ! [v15] : ( ~ v1_xboole_0(v15) | v5_membered(v15)) &  ! [v15] : ( ~ v1_xboole_0(v15) | v4_membered(v15)) &  ! [v15] : ( ~ v1_xboole_0(v15) | v3_membered(v15)) &  ! [v15] : ( ~ v1_xboole_0(v15) | v2_membered(v15)) &  ! [v15] : ( ~ v1_xboole_0(v15) | v1_membered(v15)) &  ! [v15] : ( ~ v5_membered(v15) | v4_membered(v15)) &  ! [v15] : ( ~ v4_membered(v15) | v3_membered(v15)) &  ! [v15] : ( ~ v3_membered(v15) | v2_membered(v15)) &  ! [v15] : ( ~ v2_membered(v15) | v1_membered(v15)) &  ! [v15] : ( ~ l3_lattices(v15) |  ~ v17_lattices(v15) | v16_lattices(v15) | v3_struct_0(v15)) &  ! [v15] : ( ~ l3_lattices(v15) |  ~ v17_lattices(v15) | v11_lattices(v15) | v3_struct_0(v15)) &  ! [v15] : ( ~ l3_lattices(v15) |  ~ v17_lattices(v15) | v15_lattices(v15) | v3_struct_0(v15)) &  ! [v15] : ( ~ l3_lattices(v15) |  ~ v17_lattices(v15) | v14_lattices(v15) | v3_struct_0(v15)) &  ! [v15] : ( ~ l3_lattices(v15) |  ~ v17_lattices(v15) | v13_lattices(v15) | v3_struct_0(v15)) &  ! [v15] : ( ~ l3_lattices(v15) |  ~ v10_lattices(v15) | v9_lattices(v15) | v3_struct_0(v15)) &  ! [v15] : ( ~ l3_lattices(v15) |  ~ v10_lattices(v15) | v8_lattices(v15) | v3_struct_0(v15)) &  ! [v15] : ( ~ l3_lattices(v15) |  ~ v10_lattices(v15) | v7_lattices(v15) | v3_struct_0(v15)) &  ! [v15] : ( ~ l3_lattices(v15) |  ~ v10_lattices(v15) | v6_lattices(v15) | v3_struct_0(v15)) &  ! [v15] : ( ~ l3_lattices(v15) |  ~ v10_lattices(v15) | v5_lattices(v15) | v3_struct_0(v15)) &  ! [v15] : ( ~ l3_lattices(v15) |  ~ v10_lattices(v15) | v4_lattices(v15) | v3_struct_0(v15)) &  ! [v15] : ( ~ l3_lattices(v15) |  ~ v10_lattices(v15) | v3_struct_0(v15) |  ? [v16] : m1_filter_0(v16, v15)) &  ! [v15] : ( ~ l3_lattices(v15) | l2_lattices(v15)) &  ! [v15] : ( ~ l3_lattices(v15) | l1_lattices(v15)) &  ? [v15] :  ? [v16] :  ? [v17] : m2_relset_1(v17, v15, v16) &  ? [v15] :  ? [v16] :  ? [v17] : m1_relset_1(v17, v15, v16) &  ? [v15] :  ? [v16] :  ? [v17] : (v1_relat_1(v17) & v1_funct_2(v17, v15, v16) & v1_funct_1(v17) & m1_relset_1(v17, v15, v16)) &  ? [v15] :  ? [v16] :  ? [v17] : (v1_relat_1(v17) & v1_funct_1(v17) & m1_relset_1(v17, v15, v16)) &  ? [v15] :  ? [v16] : (v16 = v15 |  ? [v17] : (( ~ r2_hidden(v17, v16) |  ~ r2_hidden(v17, v15)) & (r2_hidden(v17, v16) | r2_hidden(v17, v15)))) &  ? [v15] :  ? [v16] : m1_subset_1(v16, v15) &  ? [v15] : r1_tarski(v15, v15))
% 8.83/2.65  | 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 yields:
% 8.83/2.65  | (1)  ~ (all_0_8_8 = all_0_12_12) & k9_lopclset(all_0_14_14) = all_0_10_10 & k8_funct_2(all_0_13_13, all_0_11_11, all_0_10_10, all_0_9_9) = all_0_8_8 & k6_lattices(all_0_14_14) = all_0_9_9 & u1_struct_0(all_0_14_14) = all_0_13_13 & k7_lopclset(all_0_14_14) = all_0_12_12 & k1_zfmisc_1(all_0_12_12) = all_0_11_11 & l1_struct_0(all_0_1_1) & l1_struct_0(all_0_7_7) & l2_lattices(all_0_2_2) & l1_lattices(all_0_0_0) & v12_lattices(all_0_5_5) & v16_lattices(all_0_5_5) & v11_lattices(all_0_5_5) & v15_lattices(all_0_5_5) & v14_lattices(all_0_5_5) & v13_lattices(all_0_5_5) & v9_lattices(all_0_5_5) & v8_lattices(all_0_5_5) & v7_lattices(all_0_5_5) & v6_lattices(all_0_5_5) & v5_lattices(all_0_5_5) & v4_lattices(all_0_5_5) & v1_finset_1(all_0_4_4) & v1_xboole_0(k1_xboole_0) & v5_membered(all_0_6_6) & v5_membered(k1_xboole_0) & v4_membered(all_0_6_6) & v4_membered(k1_xboole_0) & v3_membered(all_0_6_6) & v3_membered(k1_xboole_0) & v2_membered(all_0_6_6) & v2_membered(k1_xboole_0) & v1_membered(all_0_6_6) & v1_membered(k1_xboole_0) & l3_lattices(all_0_3_3) & l3_lattices(all_0_5_5) & l3_lattices(all_0_14_14) & v17_lattices(all_0_5_5) & v17_lattices(all_0_14_14) & v10_lattices(all_0_5_5) & v10_lattices(all_0_14_14) &  ~ v1_xboole_0(all_0_4_4) &  ~ v1_xboole_0(all_0_6_6) &  ~ v3_realset2(all_0_5_5) &  ~ v3_realset2(all_0_14_14) &  ~ v3_struct_0(all_0_5_5) &  ~ v3_struct_0(all_0_7_7) &  ~ v3_struct_0(all_0_14_14) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = k1_xboole_0 |  ~ (k9_lopclset(v0) = v4) |  ~ (k8_funct_2(v1, v3, v4, v5) = v6) |  ~ (u1_struct_0(v0) = v1) |  ~ (k5_lattices(v0) = v5) |  ~ (k7_lopclset(v0) = v2) |  ~ (k1_zfmisc_1(v2) = v3) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v1 = v0 |  ~ (k8_funct_2(v5, v4, v3, v2) = v1) |  ~ (k8_funct_2(v5, v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (k8_funct_2(v0, v1, v2, v3) = v4) |  ~ v1_funct_2(v2, v0, v1) |  ~ v1_funct_1(v2) |  ~ m1_relset_1(v2, v0, v1) |  ~ m1_subset_1(v3, v0) | k1_funct_1(v2, v3) = v4 | v1_xboole_0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (k8_funct_2(v0, v1, v2, v3) = v4) |  ~ v1_funct_2(v2, v0, v1) |  ~ v1_funct_1(v2) |  ~ m1_relset_1(v2, v0, v1) |  ~ m1_subset_1(v3, v0) | v1_xboole_0(v0) | m1_subset_1(v4, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k1_funct_1(v3, v2) = v1) |  ~ (k1_funct_1(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k4_xboole_0(v3, v2) = v1) |  ~ (k4_xboole_0(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k7_lattices(v3, v2) = v1) |  ~ (k7_lattices(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] : ( ~ (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] : ( ~ (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 |  ~ (k9_lopclset(v2) = v1) |  ~ (k9_lopclset(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k8_lopclset(v2) = v1) |  ~ (k8_lopclset(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k6_lattices(v2) = v1) |  ~ (k6_lattices(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (u1_struct_0(v2) = v1) |  ~ (u1_struct_0(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k5_lattices(v2) = v1) |  ~ (k5_lattices(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k7_lopclset(v2) = v1) |  ~ (k7_lopclset(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (a_1_1_lopclset(v2) = v1) |  ~ (a_1_1_lopclset(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k1_zfmisc_1(v2) = v1) |  ~ (k1_zfmisc_1(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v1_finset_1(v0) | v1_finset_1(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v5_membered(v0) | v5_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v5_membered(v0) | v4_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v5_membered(v0) | v3_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v5_membered(v0) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v5_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v4_membered(v0) | v4_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v4_membered(v0) | v3_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v4_membered(v0) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v4_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v3_membered(v0) | v3_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v3_membered(v0) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v3_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v2_membered(v0) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v2_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v1_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k7_lattices(v0, v1) = v2) |  ~ (k5_lattices(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | k6_lattices(v0) = v2 | v3_struct_0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k7_lattices(v0, v1) = v2) |  ~ l3_lattices(v0) | v3_struct_0(v0) |  ? [v3] : (u1_struct_0(v0) = v3 & ( ~ m1_subset_1(v1, v3) | m1_subset_1(v2, v3)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (a_1_1_lopclset(v1) = v2) |  ~ v1_filter_0(v0, v1) |  ~ m1_filter_0(v0, v1) |  ~ l3_lattices(v1) |  ~ v17_lattices(v1) |  ~ v10_lattices(v1) | r2_hidden(v0, v2) | v3_realset2(v1) | v3_struct_0(v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (a_1_1_lopclset(v1) = v2) |  ~ r2_hidden(v0, v2) |  ~ l3_lattices(v1) |  ~ v17_lattices(v1) |  ~ v10_lattices(v1) | v3_realset2(v1) | v3_struct_0(v1) | (v1_filter_0(v0, v1) & m1_filter_0(v0, v1))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_zfmisc_1(v0, v1) = v2) |  ~ v1_finset_1(v1) |  ~ v1_finset_1(v0) | v1_finset_1(v2)) &  ! [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] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v1_finset_1(v0) |  ~ m1_subset_1(v2, v1) | v1_finset_1(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v5_membered(v0) |  ~ m1_subset_1(v2, v1) | v5_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v5_membered(v0) |  ~ m1_subset_1(v2, v1) | v4_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v5_membered(v0) |  ~ m1_subset_1(v2, v1) | v3_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v5_membered(v0) |  ~ m1_subset_1(v2, v1) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v5_membered(v0) |  ~ m1_subset_1(v2, v1) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v4_membered(v0) |  ~ m1_subset_1(v2, v1) | v4_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v4_membered(v0) |  ~ m1_subset_1(v2, v1) | v3_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v4_membered(v0) |  ~ m1_subset_1(v2, v1) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v4_membered(v0) |  ~ m1_subset_1(v2, v1) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v3_membered(v0) |  ~ m1_subset_1(v2, v1) | v3_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v3_membered(v0) |  ~ m1_subset_1(v2, v1) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v3_membered(v0) |  ~ m1_subset_1(v2, v1) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v2_membered(v0) |  ~ m1_subset_1(v2, v1) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v2_membered(v0) |  ~ m1_subset_1(v2, v1) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ m1_subset_1(v2, v1) |  ~ v1_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ v1_funct_2(v2, v0, v1) |  ~ v1_funct_1(v2) |  ~ m1_relset_1(v2, v0, v1) |  ~ v1_xboole_0(v2) | v1_xboole_0(v1) | v1_xboole_0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ v1_funct_2(v2, v0, v1) |  ~ v1_funct_1(v2) |  ~ m1_relset_1(v2, v0, v1) | v1_partfun1(v2, v0, v1) | v1_xboole_0(v1) | v1_xboole_0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ v1_funct_2(v2, v0, v1) |  ~ v1_funct_1(v2) |  ~ m1_relset_1(v2, v0, v1) | v1_partfun1(v2, v0, v1) | v1_xboole_0(v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ v1_partfun1(v2, v0, v1) |  ~ v1_funct_1(v2) |  ~ m1_relset_1(v2, v0, v1) | 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 |  ~ (k4_xboole_0(v0, k1_xboole_0) = v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ v1_xboole_0(v1) |  ~ v1_xboole_0(v0)) &  ! [v0] :  ! [v1] : (v1 = k1_xboole_0 |  ~ (k4_xboole_0(k1_xboole_0, v0) = v1)) &  ! [v0] :  ! [v1] : ( ~ (k9_lopclset(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | k8_lopclset(v0) = v1 | v3_realset2(v0) | v3_struct_0(v0)) &  ! [v0] :  ! [v1] : ( ~ (k9_lopclset(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v1_funct_1(v1) | v3_realset2(v0) | v3_struct_0(v0)) &  ! [v0] :  ! [v1] : ( ~ (k9_lopclset(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) |  ? [v2] :  ? [v3] :  ? [v4] : (u1_struct_0(v0) = v2 & k7_lopclset(v0) = v3 & k1_zfmisc_1(v3) = v4 & m2_relset_1(v1, v2, v4) & v1_funct_2(v1, v2, v4))) &  ! [v0] :  ! [v1] : ( ~ (k9_lopclset(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) |  ? [v2] :  ? [v3] :  ? [v4] : (u1_struct_0(v0) = v2 & k7_lopclset(v0) = v3 & k1_zfmisc_1(v3) = v4 &  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (k4_xboole_0(v3, v6) = v7) |  ~ (k8_funct_2(v2, v4, v1, v5) = v6) |  ~ m1_subset_1(v5, v2) |  ? [v8] : (k8_funct_2(v2, v4, v1, v8) = v7 & k7_lattices(v0, v5) = v8)) &  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (k8_funct_2(v2, v4, v1, v6) = v7) |  ~ (k7_lattices(v0, v5) = v6) |  ~ m1_subset_1(v5, v2) |  ? [v8] : (k4_xboole_0(v3, v8) = v7 & k8_funct_2(v2, v4, v1, v5) = v8)))) &  ! [v0] :  ! [v1] : ( ~ (k8_lopclset(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | k9_lopclset(v0) = v1 | v3_realset2(v0) | v3_struct_0(v0)) &  ! [v0] :  ! [v1] : ( ~ (k8_lopclset(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v1_relat_1(v1) | v3_realset2(v0) | v3_struct_0(v0)) &  ! [v0] :  ! [v1] : ( ~ (k8_lopclset(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v1_funct_1(v1) | v3_realset2(v0) | v3_struct_0(v0)) &  ! [v0] :  ! [v1] : ( ~ (k6_lattices(v0) = v1) |  ~ l2_lattices(v0) | v3_struct_0(v0) |  ? [v2] : (u1_struct_0(v0) = v2 & m1_subset_1(v1, v2))) &  ! [v0] :  ! [v1] : ( ~ (k6_lattices(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v3_struct_0(v0) |  ? [v2] : (k7_lattices(v0, v2) = v1 & k5_lattices(v0) = v2)) &  ! [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) |  ~ l2_lattices(v0) | v3_struct_0(v0) |  ? [v2] : (k6_lattices(v0) = v2 & m1_subset_1(v2, v1))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_lattices(v0) | v3_struct_0(v0) |  ? [v2] : (k5_lattices(v0) = v2 & m1_subset_1(v2, v1))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) |  ? [v2] :  ? [v3] :  ? [v4] : (k9_lopclset(v0) = v4 & k7_lopclset(v0) = v2 & k1_zfmisc_1(v2) = v3 &  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (k4_xboole_0(v2, v6) = v7) |  ~ (k8_funct_2(v1, v3, v4, v5) = v6) |  ~ m1_subset_1(v5, v1) |  ? [v8] : (k8_funct_2(v1, v3, v4, v8) = v7 & k7_lattices(v0, v5) = v8)) &  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (k8_funct_2(v1, v3, v4, v6) = v7) |  ~ (k7_lattices(v0, v5) = v6) |  ~ m1_subset_1(v5, v1) |  ? [v8] : (k4_xboole_0(v2, v8) = v7 & k8_funct_2(v1, v3, v4, v5) = v8)))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) |  ? [v2] :  ? [v3] :  ? [v4] : (k9_lopclset(v0) = v2 & k7_lopclset(v0) = v3 & k1_zfmisc_1(v3) = v4 & m2_relset_1(v2, v1, v4) & v1_funct_2(v2, v1, v4) & v1_funct_1(v2))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) |  ? [v2] :  ? [v3] :  ? [v4] : (k7_lopclset(v0) = v2 & k1_zfmisc_1(v3) = v4 & k1_zfmisc_1(v1) = v3 & m1_subset_1(v2, v4))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v3_struct_0(v0) |  ? [v2] : (k1_zfmisc_1(v1) = v2 &  ! [v3] : ( ~ m1_filter_0(v3, v0) |  ~ v1_xboole_0(v3)) &  ! [v3] : ( ~ m1_filter_0(v3, v0) | m1_subset_1(v3, v2)))) &  ! [v0] :  ! [v1] : ( ~ (k5_lattices(v0) = v1) |  ~ l1_lattices(v0) | v3_struct_0(v0) |  ? [v2] : (u1_struct_0(v0) = v2 & m1_subset_1(v1, v2))) &  ! [v0] :  ! [v1] : ( ~ (k7_lopclset(v0) = v1) |  ~ v1_xboole_0(v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0)) &  ! [v0] :  ! [v1] : ( ~ (k7_lopclset(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | a_1_1_lopclset(v0) = v1 | v3_realset2(v0) | v3_struct_0(v0)) &  ! [v0] :  ! [v1] : ( ~ (k7_lopclset(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) |  ? [v2] :  ? [v3] :  ? [v4] : (k9_lopclset(v0) = v4 & u1_struct_0(v0) = v2 & k1_zfmisc_1(v1) = v3 &  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (k4_xboole_0(v1, v6) = v7) |  ~ (k8_funct_2(v2, v3, v4, v5) = v6) |  ~ m1_subset_1(v5, v2) |  ? [v8] : (k8_funct_2(v2, v3, v4, v8) = v7 & k7_lattices(v0, v5) = v8)) &  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (k8_funct_2(v2, v3, v4, v6) = v7) |  ~ (k7_lattices(v0, v5) = v6) |  ~ m1_subset_1(v5, v2) |  ? [v8] : (k4_xboole_0(v1, v8) = v7 & k8_funct_2(v2, v3, v4, v5) = v8)))) &  ! [v0] :  ! [v1] : ( ~ (k7_lopclset(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) |  ? [v2] :  ? [v3] :  ? [v4] : (k9_lopclset(v0) = v2 & u1_struct_0(v0) = v3 & k1_zfmisc_1(v1) = v4 & m2_relset_1(v2, v3, v4) & v1_funct_2(v2, v3, v4) & v1_funct_1(v2))) &  ! [v0] :  ! [v1] : ( ~ (k7_lopclset(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) |  ? [v2] :  ? [v3] :  ? [v4] : (u1_struct_0(v0) = v2 & k1_zfmisc_1(v3) = v4 & k1_zfmisc_1(v2) = v3 & m1_subset_1(v1, v4))) &  ! [v0] :  ! [v1] : ( ~ (a_1_1_lopclset(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | k7_lopclset(v0) = v1 | v3_realset2(v0) | v3_struct_0(v0)) &  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v1_xboole_0(v1)) &  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v3_finsub_1(v1)) &  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_finsub_1(v1)) &  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v4_finsub_1(v1)) &  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_xboole_0(v0) |  ? [v2] : (v1_finset_1(v2) & m1_subset_1(v2, v1) &  ~ v1_xboole_0(v2))) &  ! [v0] :  ! [v1] : ( ~ v1_xboole_0(v1) |  ~ r2_hidden(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ m1_subset_1(v1, v0) | v4_ordinal2(v1)) &  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_int_1(v1)) &  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_rat_1(v1)) &  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xreal_0(v1)) &  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) &  ! [v0] :  ! [v1] : ( ~ v4_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_int_1(v1)) &  ! [v0] :  ! [v1] : ( ~ v4_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_rat_1(v1)) &  ! [v0] :  ! [v1] : ( ~ v4_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xreal_0(v1)) &  ! [v0] :  ! [v1] : ( ~ v4_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) &  ! [v0] :  ! [v1] : ( ~ v3_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_rat_1(v1)) &  ! [v0] :  ! [v1] : ( ~ v3_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xreal_0(v1)) &  ! [v0] :  ! [v1] : ( ~ v3_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) &  ! [v0] :  ! [v1] : ( ~ v2_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xreal_0(v1)) &  ! [v0] :  ! [v1] : ( ~ v2_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) &  ! [v0] :  ! [v1] : ( ~ m1_subset_1(v1, v0) |  ~ v1_membered(v0) | v1_xcmplx_0(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] : ( ~ l2_lattices(v0) | l1_struct_0(v0)) &  ! [v0] : ( ~ l1_lattices(v0) | l1_struct_0(v0)) &  ! [v0] : ( ~ v16_lattices(v0) |  ~ v11_lattices(v0) |  ~ v15_lattices(v0) |  ~ l3_lattices(v0) | v17_lattices(v0) | v3_struct_0(v0)) &  ! [v0] : ( ~ v11_lattices(v0) |  ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v12_lattices(v0) | v3_struct_0(v0)) &  ! [v0] : ( ~ v11_lattices(v0) |  ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v9_lattices(v0) | v3_struct_0(v0)) &  ! [v0] : ( ~ v11_lattices(v0) |  ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v8_lattices(v0) | v3_struct_0(v0)) &  ! [v0] : ( ~ v11_lattices(v0) |  ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v7_lattices(v0) | v3_struct_0(v0)) &  ! [v0] : ( ~ v11_lattices(v0) |  ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v6_lattices(v0) | v3_struct_0(v0)) &  ! [v0] : ( ~ v11_lattices(v0) |  ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v5_lattices(v0) | v3_struct_0(v0)) &  ! [v0] : ( ~ v11_lattices(v0) |  ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v4_lattices(v0) | v3_struct_0(v0)) &  ! [v0] : ( ~ v15_lattices(v0) |  ~ l3_lattices(v0) | v14_lattices(v0) | v3_struct_0(v0)) &  ! [v0] : ( ~ v15_lattices(v0) |  ~ l3_lattices(v0) | v13_lattices(v0) | v3_struct_0(v0)) &  ! [v0] : ( ~ v14_lattices(v0) |  ~ v13_lattices(v0) |  ~ l3_lattices(v0) | v15_lattices(v0) | v3_struct_0(v0)) &  ! [v0] : ( ~ v9_lattices(v0) |  ~ v8_lattices(v0) |  ~ v7_lattices(v0) |  ~ v6_lattices(v0) |  ~ v5_lattices(v0) |  ~ v4_lattices(v0) |  ~ l3_lattices(v0) | v10_lattices(v0) | v3_struct_0(v0)) &  ! [v0] : ( ~ v3_finsub_1(v0) |  ~ v1_finsub_1(v0) | v4_finsub_1(v0)) &  ! [v0] : ( ~ v4_finsub_1(v0) | v3_finsub_1(v0)) &  ! [v0] : ( ~ v4_finsub_1(v0) | v1_finsub_1(v0)) &  ! [v0] : ( ~ v1_xboole_0(v0) | v1_finset_1(v0)) &  ! [v0] : ( ~ v1_xboole_0(v0) | v5_membered(v0)) &  ! [v0] : ( ~ v1_xboole_0(v0) | v4_membered(v0)) &  ! [v0] : ( ~ v1_xboole_0(v0) | v3_membered(v0)) &  ! [v0] : ( ~ v1_xboole_0(v0) | v2_membered(v0)) &  ! [v0] : ( ~ v1_xboole_0(v0) | v1_membered(v0)) &  ! [v0] : ( ~ v5_membered(v0) | v4_membered(v0)) &  ! [v0] : ( ~ v4_membered(v0) | v3_membered(v0)) &  ! [v0] : ( ~ v3_membered(v0) | v2_membered(v0)) &  ! [v0] : ( ~ v2_membered(v0) | v1_membered(v0)) &  ! [v0] : ( ~ l3_lattices(v0) |  ~ v17_lattices(v0) | v16_lattices(v0) | v3_struct_0(v0)) &  ! [v0] : ( ~ l3_lattices(v0) |  ~ v17_lattices(v0) | v11_lattices(v0) | v3_struct_0(v0)) &  ! [v0] : ( ~ l3_lattices(v0) |  ~ v17_lattices(v0) | v15_lattices(v0) | v3_struct_0(v0)) &  ! [v0] : ( ~ l3_lattices(v0) |  ~ v17_lattices(v0) | v14_lattices(v0) | v3_struct_0(v0)) &  ! [v0] : ( ~ l3_lattices(v0) |  ~ v17_lattices(v0) | v13_lattices(v0) | v3_struct_0(v0)) &  ! [v0] : ( ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v9_lattices(v0) | v3_struct_0(v0)) &  ! [v0] : ( ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v8_lattices(v0) | v3_struct_0(v0)) &  ! [v0] : ( ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v7_lattices(v0) | v3_struct_0(v0)) &  ! [v0] : ( ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v6_lattices(v0) | v3_struct_0(v0)) &  ! [v0] : ( ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v5_lattices(v0) | v3_struct_0(v0)) &  ! [v0] : ( ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v4_lattices(v0) | v3_struct_0(v0)) &  ! [v0] : ( ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v3_struct_0(v0) |  ? [v1] : m1_filter_0(v1, v0)) &  ! [v0] : ( ~ l3_lattices(v0) | l2_lattices(v0)) &  ! [v0] : ( ~ l3_lattices(v0) | l1_lattices(v0)) &  ? [v0] :  ? [v1] :  ? [v2] : m2_relset_1(v2, v0, v1) &  ? [v0] :  ? [v1] :  ? [v2] : m1_relset_1(v2, v0, v1) &  ? [v0] :  ? [v1] :  ? [v2] : (v1_relat_1(v2) & v1_funct_2(v2, v0, v1) & v1_funct_1(v2) & m1_relset_1(v2, v0, v1)) &  ? [v0] :  ? [v1] :  ? [v2] : (v1_relat_1(v2) & v1_funct_1(v2) & m1_relset_1(v2, v0, v1)) &  ? [v0] :  ? [v1] : (v1 = v0 |  ? [v2] : (( ~ r2_hidden(v2, v1) |  ~ r2_hidden(v2, v0)) & (r2_hidden(v2, v1) | r2_hidden(v2, v0)))) &  ? [v0] :  ? [v1] : m1_subset_1(v1, v0) &  ? [v0] : r1_tarski(v0, v0)
% 9.22/2.69  |
% 9.22/2.69  | Applying alpha-rule on (1) yields:
% 9.22/2.69  | (2)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v4_membered(v0) |  ~ m1_subset_1(v2, v1) | v4_membered(v2))
% 9.22/2.69  | (3)  ! [v0] : ( ~ v16_lattices(v0) |  ~ v11_lattices(v0) |  ~ v15_lattices(v0) |  ~ l3_lattices(v0) | v17_lattices(v0) | v3_struct_0(v0))
% 9.22/2.69  | (4)  ! [v0] :  ! [v1] : ( ~ (k7_lopclset(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | a_1_1_lopclset(v0) = v1 | v3_realset2(v0) | v3_struct_0(v0))
% 9.22/2.69  | (5)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v5_membered(v0) |  ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 9.22/2.69  | (6) l1_struct_0(all_0_7_7)
% 9.22/2.69  | (7)  ! [v0] : ( ~ l3_lattices(v0) |  ~ v17_lattices(v0) | v16_lattices(v0) | v3_struct_0(v0))
% 9.22/2.69  | (8)  ! [v0] : ( ~ l3_lattices(v0) |  ~ v17_lattices(v0) | v11_lattices(v0) | v3_struct_0(v0))
% 9.22/2.69  | (9)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k1_zfmisc_1(v2) = v1) |  ~ (k1_zfmisc_1(v2) = v0))
% 9.22/2.69  | (10)  ! [v0] : ( ~ v3_finsub_1(v0) |  ~ v1_finsub_1(v0) | v4_finsub_1(v0))
% 9.22/2.69  | (11)  ! [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)))
% 9.22/2.69  | (12) v5_lattices(all_0_5_5)
% 9.22/2.69  | (13)  ? [v0] :  ? [v1] : m1_subset_1(v1, v0)
% 9.22/2.69  | (14)  ! [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)))
% 9.22/2.69  | (15)  ! [v0] :  ! [v1] : ( ~ (k7_lopclset(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) |  ? [v2] :  ? [v3] :  ? [v4] : (k9_lopclset(v0) = v2 & u1_struct_0(v0) = v3 & k1_zfmisc_1(v1) = v4 & m2_relset_1(v2, v3, v4) & v1_funct_2(v2, v3, v4) & v1_funct_1(v2)))
% 9.22/2.69  | (16)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v2_membered(v0) | v1_membered(v2))
% 9.22/2.69  | (17)  ! [v0] : ( ~ l2_lattices(v0) | l1_struct_0(v0))
% 9.22/2.69  | (18)  ! [v0] : ( ~ l3_lattices(v0) | l2_lattices(v0))
% 9.22/2.69  | (19)  ~ v3_realset2(all_0_14_14)
% 9.22/2.69  | (20) v11_lattices(all_0_5_5)
% 9.22/2.69  | (21)  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v1_xboole_0(v1))
% 9.22/2.69  | (22) v2_membered(all_0_6_6)
% 9.22/2.69  | (23)  ! [v0] :  ! [v1] : ( ~ v4_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 9.22/2.69  | (24)  ! [v0] : ( ~ l3_lattices(v0) |  ~ v17_lattices(v0) | v15_lattices(v0) | v3_struct_0(v0))
% 9.22/2.69  | (25)  ! [v0] : ( ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v3_struct_0(v0) |  ? [v1] : m1_filter_0(v1, v0))
% 9.22/2.69  | (26) k1_zfmisc_1(all_0_12_12) = all_0_11_11
% 9.22/2.69  | (27) l1_lattices(all_0_0_0)
% 9.22/2.69  | (28)  ! [v0] : ( ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v4_lattices(v0) | v3_struct_0(v0))
% 9.22/2.69  | (29)  ! [v0] : ( ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v5_lattices(v0) | v3_struct_0(v0))
% 9.22/2.69  | (30) v14_lattices(all_0_5_5)
% 9.22/2.69  | (31)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k8_lopclset(v2) = v1) |  ~ (k8_lopclset(v2) = v0))
% 9.22/2.69  | (32)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v5_membered(v0) |  ~ m1_subset_1(v2, v1) | v3_membered(v2))
% 9.22/2.69  | (33)  ! [v0] :  ! [v1] : ( ~ (k7_lopclset(v0) = v1) |  ~ v1_xboole_0(v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0))
% 9.22/2.69  | (34) u1_struct_0(all_0_14_14) = all_0_13_13
% 9.22/2.69  | (35)  ! [v0] :  ! [v1] : ( ~ v3_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xreal_0(v1))
% 9.22/2.69  | (36) l3_lattices(all_0_3_3)
% 9.22/2.69  | (37)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v5_membered(v0) | v4_membered(v2))
% 9.22/2.69  | (38)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v1 = v0 |  ~ (k8_funct_2(v5, v4, v3, v2) = v1) |  ~ (k8_funct_2(v5, v4, v3, v2) = v0))
% 9.22/2.69  | (39)  ~ v3_struct_0(all_0_14_14)
% 9.22/2.69  | (40)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v4_membered(v0) | v2_membered(v2))
% 9.22/2.69  | (41)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l2_lattices(v0) | v3_struct_0(v0) |  ? [v2] : (k6_lattices(v0) = v2 & m1_subset_1(v2, v1)))
% 9.22/2.69  | (42)  ! [v0] :  ! [v1] : ( ~ v1_xboole_0(v1) |  ~ r2_hidden(v0, v1))
% 9.22/2.69  | (43)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (u1_struct_0(v2) = v1) |  ~ (u1_struct_0(v2) = v0))
% 9.22/2.69  | (44)  ! [v0] :  ! [v1] : ( ~ (a_1_1_lopclset(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | k7_lopclset(v0) = v1 | v3_realset2(v0) | v3_struct_0(v0))
% 9.22/2.69  | (45)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_lattices(v0) | v3_struct_0(v0) |  ? [v2] : (k5_lattices(v0) = v2 & m1_subset_1(v2, v1)))
% 9.22/2.69  | (46) v7_lattices(all_0_5_5)
% 9.22/2.69  | (47)  ! [v0] : ( ~ v1_xboole_0(v0) | v1_finset_1(v0))
% 9.22/2.69  | (48) v6_lattices(all_0_5_5)
% 9.22/2.69  | (49)  ! [v0] : ( ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v8_lattices(v0) | v3_struct_0(v0))
% 9.22/2.69  | (50) k6_lattices(all_0_14_14) = all_0_9_9
% 9.22/2.69  | (51)  ! [v0] : ( ~ v1_xboole_0(v0) | v2_membered(v0))
% 9.22/2.69  | (52)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v5_membered(v0) |  ~ m1_subset_1(v2, v1) | v2_membered(v2))
% 9.22/2.69  | (53)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ m1_subset_1(v2, v1) |  ~ v1_membered(v0) | v1_membered(v2))
% 9.22/2.70  | (54) v4_lattices(all_0_5_5)
% 9.22/2.70  | (55) l2_lattices(all_0_2_2)
% 9.22/2.70  | (56) v1_xboole_0(k1_xboole_0)
% 9.22/2.70  | (57)  ! [v0] : ( ~ v1_xboole_0(v0) | v4_membered(v0))
% 9.22/2.70  | (58) v3_membered(all_0_6_6)
% 9.22/2.70  | (59)  ! [v0] :  ! [v1] : ( ~ r2_hidden(v1, v0) |  ~ r2_hidden(v0, v1))
% 9.22/2.70  | (60) v10_lattices(all_0_14_14)
% 9.22/2.70  | (61)  ? [v0] :  ? [v1] : (v1 = v0 |  ? [v2] : (( ~ r2_hidden(v2, v1) |  ~ r2_hidden(v2, v0)) & (r2_hidden(v2, v1) | r2_hidden(v2, v0))))
% 9.22/2.70  | (62) v1_finset_1(all_0_4_4)
% 9.22/2.70  | (63)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k4_xboole_0(v3, v2) = v1) |  ~ (k4_xboole_0(v3, v2) = v0))
% 9.22/2.70  | (64)  ! [v0] : ( ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v9_lattices(v0) | v3_struct_0(v0))
% 9.22/2.70  | (65)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v4_membered(v0) |  ~ m1_subset_1(v2, v1) | v3_membered(v2))
% 9.22/2.70  | (66)  ~ v3_realset2(all_0_5_5)
% 9.22/2.70  | (67)  ! [v0] :  ! [v1] : ( ~ v3_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_rat_1(v1))
% 9.22/2.70  | (68)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v3_struct_0(v0) |  ? [v2] : (k1_zfmisc_1(v1) = v2 &  ! [v3] : ( ~ m1_filter_0(v3, v0) |  ~ v1_xboole_0(v3)) &  ! [v3] : ( ~ m1_filter_0(v3, v0) | m1_subset_1(v3, v2))))
% 9.22/2.70  | (69) v8_lattices(all_0_5_5)
% 9.22/2.70  | (70)  ! [v0] : ( ~ v4_finsub_1(v0) | v1_finsub_1(v0))
% 9.22/2.70  | (71)  ! [v0] :  ! [v1] : ( ~ (k8_lopclset(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | k9_lopclset(v0) = v1 | v3_realset2(v0) | v3_struct_0(v0))
% 9.22/2.70  | (72)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v5_membered(v0) | v3_membered(v2))
% 9.22/2.70  | (73)  ? [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)))
% 9.22/2.70  | (74)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v4_membered(v0) | v1_membered(v2))
% 9.22/2.70  | (75)  ! [v0] :  ! [v1] : ( ~ v4_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xreal_0(v1))
% 9.22/2.70  | (76)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (a_1_1_lopclset(v2) = v1) |  ~ (a_1_1_lopclset(v2) = v0))
% 9.22/2.70  | (77)  ? [v0] :  ? [v1] :  ? [v2] : (v1_relat_1(v2) & v1_funct_1(v2) & m1_relset_1(v2, v0, v1))
% 9.22/2.70  | (78)  ~ v1_xboole_0(all_0_4_4)
% 9.22/2.70  | (79)  ! [v0] : ( ~ l3_lattices(v0) |  ~ v17_lattices(v0) | v13_lattices(v0) | v3_struct_0(v0))
% 9.22/2.70  | (80)  ! [v0] :  ! [v1] : ( ~ v2_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xreal_0(v1))
% 9.22/2.70  | (81)  ? [v0] :  ? [v1] :  ? [v2] : (v1_relat_1(v2) & v1_funct_2(v2, v0, v1) & v1_funct_1(v2) & m1_relset_1(v2, v0, v1))
% 9.22/2.70  | (82)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v1_membered(v0) | v1_membered(v2))
% 9.22/2.70  | (83)  ! [v0] :  ! [v1] : (v1 = k1_xboole_0 |  ~ (k4_xboole_0(k1_xboole_0, v0) = v1))
% 9.22/2.70  | (84)  ~ v3_struct_0(all_0_5_5)
% 9.22/2.70  | (85)  ! [v0] : ( ~ v11_lattices(v0) |  ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v12_lattices(v0) | v3_struct_0(v0))
% 9.22/2.70  | (86)  ! [v0] : ( ~ v5_membered(v0) | v4_membered(v0))
% 9.22/2.70  | (87)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) |  ? [v2] :  ? [v3] :  ? [v4] : (k9_lopclset(v0) = v4 & k7_lopclset(v0) = v2 & k1_zfmisc_1(v2) = v3 &  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (k4_xboole_0(v2, v6) = v7) |  ~ (k8_funct_2(v1, v3, v4, v5) = v6) |  ~ m1_subset_1(v5, v1) |  ? [v8] : (k8_funct_2(v1, v3, v4, v8) = v7 & k7_lattices(v0, v5) = v8)) &  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (k8_funct_2(v1, v3, v4, v6) = v7) |  ~ (k7_lattices(v0, v5) = v6) |  ~ m1_subset_1(v5, v1) |  ? [v8] : (k4_xboole_0(v2, v8) = v7 & k8_funct_2(v1, v3, v4, v5) = v8))))
% 9.22/2.70  | (88)  ! [v0] : ( ~ v1_xboole_0(v0) | v5_membered(v0))
% 9.22/2.70  | (89)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = k1_xboole_0 |  ~ (k9_lopclset(v0) = v4) |  ~ (k8_funct_2(v1, v3, v4, v5) = v6) |  ~ (u1_struct_0(v0) = v1) |  ~ (k5_lattices(v0) = v5) |  ~ (k7_lopclset(v0) = v2) |  ~ (k1_zfmisc_1(v2) = v3) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0))
% 9.22/2.70  | (90)  ! [v0] : ( ~ v4_finsub_1(v0) | v3_finsub_1(v0))
% 9.22/2.70  | (91)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v3_membered(v0) | v1_membered(v2))
% 9.22/2.70  | (92)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k9_lopclset(v2) = v1) |  ~ (k9_lopclset(v2) = v0))
% 9.22/2.70  | (93)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) |  ? [v2] :  ? [v3] :  ? [v4] : (k9_lopclset(v0) = v2 & k7_lopclset(v0) = v3 & k1_zfmisc_1(v3) = v4 & m2_relset_1(v2, v1, v4) & v1_funct_2(v2, v1, v4) & v1_funct_1(v2)))
% 9.22/2.70  | (94)  ! [v0] :  ! [v1] : ( ~ (k9_lopclset(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) |  ? [v2] :  ? [v3] :  ? [v4] : (u1_struct_0(v0) = v2 & k7_lopclset(v0) = v3 & k1_zfmisc_1(v3) = v4 & m2_relset_1(v1, v2, v4) & v1_funct_2(v1, v2, v4)))
% 9.22/2.70  | (95)  ! [v0] :  ! [v1] : ( ~ m1_subset_1(v1, v0) |  ~ v1_membered(v0) | v1_xcmplx_0(v1))
% 9.22/2.70  | (96)  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ m1_subset_1(v1, v0) | v4_ordinal2(v1))
% 9.22/2.70  | (97)  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v4_finsub_1(v1))
% 9.22/2.70  | (98)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v2_membered(v0) |  ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 9.22/2.70  | (99)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (k8_funct_2(v0, v1, v2, v3) = v4) |  ~ v1_funct_2(v2, v0, v1) |  ~ v1_funct_1(v2) |  ~ m1_relset_1(v2, v0, v1) |  ~ m1_subset_1(v3, v0) | k1_funct_1(v2, v3) = v4 | v1_xboole_0(v0))
% 9.22/2.70  | (100)  ! [v0] : ( ~ l3_lattices(v0) | l1_lattices(v0))
% 9.22/2.70  | (101)  ! [v0] : ( ~ v4_membered(v0) | v3_membered(v0))
% 9.22/2.70  | (102)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v1_finset_1(v0) | v1_finset_1(v2))
% 9.22/2.70  | (103)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v4_membered(v0) | v3_membered(v2))
% 9.22/2.70  | (104)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k7_lattices(v0, v1) = v2) |  ~ l3_lattices(v0) | v3_struct_0(v0) |  ? [v3] : (u1_struct_0(v0) = v3 & ( ~ m1_subset_1(v1, v3) | m1_subset_1(v2, v3))))
% 9.22/2.70  | (105)  ! [v0] : ( ~ v11_lattices(v0) |  ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v4_lattices(v0) | v3_struct_0(v0))
% 9.22/2.70  | (106)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_struct_0(v0) |  ~ v1_xboole_0(v1) | v3_struct_0(v0))
% 9.22/2.70  | (107) v17_lattices(all_0_14_14)
% 9.22/2.71  | (108) v3_membered(k1_xboole_0)
% 9.22/2.71  | (109)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v5_membered(v0) |  ~ m1_subset_1(v2, v1) | v5_membered(v2))
% 9.22/2.71  | (110)  ~ (all_0_8_8 = all_0_12_12)
% 9.22/2.71  | (111)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v5_membered(v0) | v1_membered(v2))
% 9.22/2.71  | (112)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ v1_xboole_0(v1) |  ~ v1_xboole_0(v0))
% 9.22/2.71  | (113)  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_rat_1(v1))
% 9.22/2.71  | (114)  ! [v0] :  ! [v1] : ( ~ (k9_lopclset(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) |  ? [v2] :  ? [v3] :  ? [v4] : (u1_struct_0(v0) = v2 & k7_lopclset(v0) = v3 & k1_zfmisc_1(v3) = v4 &  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (k4_xboole_0(v3, v6) = v7) |  ~ (k8_funct_2(v2, v4, v1, v5) = v6) |  ~ m1_subset_1(v5, v2) |  ? [v8] : (k8_funct_2(v2, v4, v1, v8) = v7 & k7_lattices(v0, v5) = v8)) &  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (k8_funct_2(v2, v4, v1, v6) = v7) |  ~ (k7_lattices(v0, v5) = v6) |  ~ m1_subset_1(v5, v2) |  ? [v8] : (k4_xboole_0(v3, v8) = v7 & k8_funct_2(v2, v4, v1, v5) = v8))))
% 9.22/2.71  | (115) v1_membered(k1_xboole_0)
% 9.22/2.71  | (116)  ! [v0] : ( ~ v11_lattices(v0) |  ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v9_lattices(v0) | v3_struct_0(v0))
% 9.22/2.71  | (117)  ! [v0] :  ! [v1] : ( ~ (k7_lopclset(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) |  ? [v2] :  ? [v3] :  ? [v4] : (k9_lopclset(v0) = v4 & u1_struct_0(v0) = v2 & k1_zfmisc_1(v1) = v3 &  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (k4_xboole_0(v1, v6) = v7) |  ~ (k8_funct_2(v2, v3, v4, v5) = v6) |  ~ m1_subset_1(v5, v2) |  ? [v8] : (k8_funct_2(v2, v3, v4, v8) = v7 & k7_lattices(v0, v5) = v8)) &  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (k8_funct_2(v2, v3, v4, v6) = v7) |  ~ (k7_lattices(v0, v5) = v6) |  ~ m1_subset_1(v5, v2) |  ? [v8] : (k4_xboole_0(v1, v8) = v7 & k8_funct_2(v2, v3, v4, v5) = v8))))
% 9.22/2.71  | (118)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v5_membered(v0) | v5_membered(v2))
% 9.22/2.71  | (119) v5_membered(all_0_6_6)
% 9.22/2.71  | (120)  ! [v0] : ( ~ l1_lattices(v0) | l1_struct_0(v0))
% 9.22/2.71  | (121)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_zfmisc_1(v0, v1) = v2) |  ~ v1_finset_1(v1) |  ~ v1_finset_1(v0) | v1_finset_1(v2))
% 9.22/2.71  | (122)  ! [v0] :  ! [v1] : ( ~ (k9_lopclset(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v1_funct_1(v1) | v3_realset2(v0) | v3_struct_0(v0))
% 9.22/2.71  | (123)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v5_membered(v0) | v2_membered(v2))
% 9.22/2.71  | (124)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k7_lopclset(v2) = v1) |  ~ (k7_lopclset(v2) = v0))
% 9.22/2.71  | (125)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ v1_funct_2(v2, v0, v1) |  ~ v1_funct_1(v2) |  ~ m1_relset_1(v2, v0, v1) | v1_partfun1(v2, v0, v1) | v1_xboole_0(v1) | v1_xboole_0(v0))
% 9.22/2.71  | (126) l3_lattices(all_0_14_14)
% 9.22/2.71  | (127)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) |  ~ m1_subset_1(v1, v3) |  ~ r2_hidden(v0, v1) | m1_subset_1(v0, v2))
% 9.22/2.71  | (128)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v4_membered(v0) |  ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 9.22/2.71  | (129)  ! [v0] :  ! [v1] : ( ~ (k5_lattices(v0) = v1) |  ~ l1_lattices(v0) | v3_struct_0(v0) |  ? [v2] : (u1_struct_0(v0) = v2 & m1_subset_1(v1, v2)))
% 9.22/2.71  | (130)  ! [v0] :  ! [v1] : ( ~ v2_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 9.22/2.71  | (131) v2_membered(k1_xboole_0)
% 9.22/2.71  | (132) l1_struct_0(all_0_1_1)
% 9.22/2.71  | (133)  ! [v0] : (v0 = k1_xboole_0 |  ~ v1_xboole_0(v0))
% 9.22/2.71  | (134)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k1_funct_1(v3, v2) = v1) |  ~ (k1_funct_1(v3, v2) = v0))
% 9.22/2.71  | (135) k9_lopclset(all_0_14_14) = all_0_10_10
% 9.22/2.71  | (136) v15_lattices(all_0_5_5)
% 9.22/2.71  | (137) v9_lattices(all_0_5_5)
% 9.22/2.71  | (138) l3_lattices(all_0_5_5)
% 9.22/2.71  | (139)  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_int_1(v1))
% 9.22/2.71  | (140)  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 9.22/2.71  | (141)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) |  ? [v2] :  ? [v3] :  ? [v4] : (k7_lopclset(v0) = v2 & k1_zfmisc_1(v3) = v4 & k1_zfmisc_1(v1) = v3 & m1_subset_1(v2, v4)))
% 9.22/2.71  | (142)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v5_membered(v0) |  ~ m1_subset_1(v2, v1) | v4_membered(v2))
% 9.22/2.71  | (143)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v1_finset_1(v0) |  ~ m1_subset_1(v2, v1) | v1_finset_1(v2))
% 9.22/2.71  | (144)  ! [v0] :  ! [v1] : ( ~ (k6_lattices(v0) = v1) |  ~ l2_lattices(v0) | v3_struct_0(v0) |  ? [v2] : (u1_struct_0(v0) = v2 & m1_subset_1(v1, v2)))
% 9.22/2.71  | (145) v1_membered(all_0_6_6)
% 9.22/2.71  | (146)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ v1_partfun1(v2, v0, v1) |  ~ v1_funct_1(v2) |  ~ m1_relset_1(v2, v0, v1) | v1_funct_2(v2, v0, v1))
% 9.22/2.71  | (147)  ? [v0] :  ? [v1] :  ? [v2] : m1_relset_1(v2, v0, v1)
% 9.22/2.71  | (148)  ! [v0] :  ! [v1] : ( ~ (k6_lattices(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v3_struct_0(v0) |  ? [v2] : (k7_lattices(v0, v2) = v1 & k5_lattices(v0) = v2))
% 9.22/2.71  | (149)  ! [v0] : ( ~ v11_lattices(v0) |  ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v8_lattices(v0) | v3_struct_0(v0))
% 9.22/2.71  | (150)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k7_lattices(v3, v2) = v1) |  ~ (k7_lattices(v3, v2) = v0))
% 9.22/2.71  | (151)  ~ v1_xboole_0(all_0_6_6)
% 9.22/2.71  | (152)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v3_membered(v0) |  ~ m1_subset_1(v2, v1) | v3_membered(v2))
% 9.22/2.71  | (153)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) |  ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1))
% 9.22/2.71  | (154)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) |  ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2))
% 9.22/2.71  | (155)  ! [v0] : ( ~ v15_lattices(v0) |  ~ l3_lattices(v0) | v13_lattices(v0) | v3_struct_0(v0))
% 9.22/2.71  | (156) v10_lattices(all_0_5_5)
% 9.22/2.71  | (157)  ! [v0] :  ! [v1] : ( ~ v3_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 9.22/2.71  | (158)  ! [v0] : ( ~ v3_membered(v0) | v2_membered(v0))
% 9.22/2.71  | (159)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v4_membered(v0) | v4_membered(v2))
% 9.22/2.71  | (160)  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_xboole_0(v0) |  ? [v2] : (v1_finset_1(v2) & m1_subset_1(v2, v1) &  ~ v1_xboole_0(v2)))
% 9.22/2.71  | (161)  ! [v0] :  ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1))
% 9.22/2.71  | (162)  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v3_finsub_1(v1))
% 9.22/2.71  | (163) k8_funct_2(all_0_13_13, all_0_11_11, all_0_10_10, all_0_9_9) = all_0_8_8
% 9.22/2.71  | (164)  ! [v0] :  ! [v1] : ( ~ v4_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_rat_1(v1))
% 9.22/2.71  | (165)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v3_membered(v0) |  ~ m1_subset_1(v2, v1) | v2_membered(v2))
% 9.22/2.71  | (166)  ? [v0] :  ? [v1] :  ? [v2] : m2_relset_1(v2, v0, v1)
% 9.22/2.71  | (167)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k2_zfmisc_1(v3, v2) = v1) |  ~ (k2_zfmisc_1(v3, v2) = v0))
% 9.22/2.71  | (168) v13_lattices(all_0_5_5)
% 9.22/2.71  | (169)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v3_membered(v0) | v2_membered(v2))
% 9.22/2.71  | (170) v12_lattices(all_0_5_5)
% 9.22/2.71  | (171)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v3_membered(v0) |  ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 9.22/2.71  | (172)  ! [v0] : ( ~ v11_lattices(v0) |  ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v7_lattices(v0) | v3_struct_0(v0))
% 9.22/2.71  | (173) v5_membered(k1_xboole_0)
% 9.22/2.71  | (174)  ! [v0] : ( ~ v11_lattices(v0) |  ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v5_lattices(v0) | v3_struct_0(v0))
% 9.22/2.72  | (175)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (a_1_1_lopclset(v1) = v2) |  ~ r2_hidden(v0, v2) |  ~ l3_lattices(v1) |  ~ v17_lattices(v1) |  ~ v10_lattices(v1) | v3_realset2(v1) | v3_struct_0(v1) | (v1_filter_0(v0, v1) & m1_filter_0(v0, v1)))
% 9.22/2.72  | (176)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1))
% 9.22/2.72  | (177)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1))
% 9.22/2.72  | (178)  ! [v0] : ( ~ v9_lattices(v0) |  ~ v8_lattices(v0) |  ~ v7_lattices(v0) |  ~ v6_lattices(v0) |  ~ v5_lattices(v0) |  ~ v4_lattices(v0) |  ~ l3_lattices(v0) | v10_lattices(v0) | v3_struct_0(v0))
% 9.22/2.72  | (179)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (k4_xboole_0(v0, k1_xboole_0) = v1))
% 9.22/2.72  | (180) v4_membered(k1_xboole_0)
% 9.22/2.72  | (181)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v2_membered(v0) | v2_membered(v2))
% 9.22/2.72  | (182) k7_lopclset(all_0_14_14) = all_0_12_12
% 9.22/2.72  | (183)  ! [v0] :  ! [v1] : ( ~ v4_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_int_1(v1))
% 9.22/2.72  | (184)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k7_lattices(v0, v1) = v2) |  ~ (k5_lattices(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | k6_lattices(v0) = v2 | v3_struct_0(v0))
% 9.22/2.72  | (185)  ! [v0] :  ! [v1] : ( ~ (k9_lopclset(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | k8_lopclset(v0) = v1 | v3_realset2(v0) | v3_struct_0(v0))
% 9.22/2.72  | (186)  ! [v0] : ( ~ l3_lattices(v0) |  ~ v17_lattices(v0) | v14_lattices(v0) | v3_struct_0(v0))
% 9.22/2.72  | (187)  ! [v0] :  ! [v1] : ( ~ (k8_lopclset(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v1_relat_1(v1) | v3_realset2(v0) | v3_struct_0(v0))
% 9.22/2.72  | (188)  ! [v0] : ( ~ v14_lattices(v0) |  ~ v13_lattices(v0) |  ~ l3_lattices(v0) | v15_lattices(v0) | v3_struct_0(v0))
% 9.22/2.72  | (189)  ! [v0] : ( ~ v2_membered(v0) | v1_membered(v0))
% 9.22/2.72  | (190)  ! [v0] : ( ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v7_lattices(v0) | v3_struct_0(v0))
% 9.22/2.72  | (191)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(v0, v1) = v2) |  ~ v3_membered(v0) | v3_membered(v2))
% 9.22/2.72  | (192)  ~ v3_struct_0(all_0_7_7)
% 9.22/2.72  | (193)  ! [v0] :  ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1))
% 9.22/2.72  | (194)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v4_membered(v0) |  ~ m1_subset_1(v2, v1) | v2_membered(v2))
% 9.22/2.72  | (195)  ! [v0] : ( ~ v1_xboole_0(v0) | v3_membered(v0))
% 9.22/2.72  | (196) v16_lattices(all_0_5_5)
% 9.22/2.72  | (197)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v2_membered(v0) |  ~ m1_subset_1(v2, v1) | v2_membered(v2))
% 9.22/2.72  | (198)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (a_1_1_lopclset(v1) = v2) |  ~ v1_filter_0(v0, v1) |  ~ m1_filter_0(v0, v1) |  ~ l3_lattices(v1) |  ~ v17_lattices(v1) |  ~ v10_lattices(v1) | r2_hidden(v0, v2) | v3_realset2(v1) | v3_struct_0(v1))
% 9.22/2.72  | (199)  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_finsub_1(v1))
% 9.22/2.72  | (200)  ! [v0] :  ! [v1] : ( ~ (k7_lopclset(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) |  ? [v2] :  ? [v3] :  ? [v4] : (u1_struct_0(v0) = v2 & k1_zfmisc_1(v3) = v4 & k1_zfmisc_1(v2) = v3 & m1_subset_1(v1, v4)))
% 9.22/2.72  | (201)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k5_lattices(v2) = v1) |  ~ (k5_lattices(v2) = v0))
% 9.22/2.72  | (202)  ! [v0] :  ! [v1] : ( ~ (k8_lopclset(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v1_funct_1(v1) | v3_realset2(v0) | v3_struct_0(v0))
% 9.22/2.72  | (203)  ! [v0] : ( ~ v1_xboole_0(v0) | v1_membered(v0))
% 9.22/2.72  | (204)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) |  ~ v1_xboole_0(v2) |  ~ m1_subset_1(v1, v3) |  ~ r2_hidden(v0, v1))
% 9.22/2.72  | (205) v17_lattices(all_0_5_5)
% 9.22/2.72  | (206)  ! [v0] : ( ~ v15_lattices(v0) |  ~ l3_lattices(v0) | v14_lattices(v0) | v3_struct_0(v0))
% 9.22/2.72  | (207)  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xreal_0(v1))
% 9.22/2.72  | (208) v4_membered(all_0_6_6)
% 9.22/2.72  | (209)  ? [v0] : r1_tarski(v0, v0)
% 9.22/2.72  | (210)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ v1_funct_2(v2, v0, v1) |  ~ v1_funct_1(v2) |  ~ m1_relset_1(v2, v0, v1) |  ~ v1_xboole_0(v2) | v1_xboole_0(v1) | v1_xboole_0(v0))
% 9.22/2.72  | (211)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ v1_funct_2(v2, v0, v1) |  ~ v1_funct_1(v2) |  ~ m1_relset_1(v2, v0, v1) | v1_partfun1(v2, v0, v1) | v1_xboole_0(v1))
% 9.22/2.72  | (212)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (k8_funct_2(v0, v1, v2, v3) = v4) |  ~ v1_funct_2(v2, v0, v1) |  ~ v1_funct_1(v2) |  ~ m1_relset_1(v2, v0, v1) |  ~ m1_subset_1(v3, v0) | v1_xboole_0(v0) | m1_subset_1(v4, v1))
% 9.22/2.72  | (213)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k6_lattices(v2) = v1) |  ~ (k6_lattices(v2) = v0))
% 9.22/2.72  | (214)  ! [v0] : ( ~ v11_lattices(v0) |  ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v6_lattices(v0) | v3_struct_0(v0))
% 9.22/2.72  | (215)  ! [v0] : ( ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v6_lattices(v0) | v3_struct_0(v0))
% 9.22/2.72  |
% 9.22/2.72  | Instantiating formula (18) with all_0_14_14 and discharging atoms l3_lattices(all_0_14_14), yields:
% 9.22/2.72  | (216) l2_lattices(all_0_14_14)
% 9.22/2.72  |
% 9.22/2.72  | Instantiating formula (100) with all_0_14_14 and discharging atoms l3_lattices(all_0_14_14), yields:
% 9.22/2.72  | (217) l1_lattices(all_0_14_14)
% 9.22/2.72  |
% 9.22/2.72  | Instantiating formula (94) with all_0_10_10, all_0_14_14 and discharging atoms k9_lopclset(all_0_14_14) = all_0_10_10, l3_lattices(all_0_14_14), v17_lattices(all_0_14_14), v10_lattices(all_0_14_14),  ~ v3_realset2(all_0_14_14),  ~ v3_struct_0(all_0_14_14), yields:
% 9.22/2.72  | (218)  ? [v0] :  ? [v1] :  ? [v2] : (u1_struct_0(all_0_14_14) = v0 & k7_lopclset(all_0_14_14) = v1 & k1_zfmisc_1(v1) = v2 & m2_relset_1(all_0_10_10, v0, v2) & v1_funct_2(all_0_10_10, v0, v2))
% 9.22/2.72  |
% 9.22/2.72  | Instantiating formula (114) with all_0_10_10, all_0_14_14 and discharging atoms k9_lopclset(all_0_14_14) = all_0_10_10, l3_lattices(all_0_14_14), v17_lattices(all_0_14_14), v10_lattices(all_0_14_14),  ~ v3_realset2(all_0_14_14),  ~ v3_struct_0(all_0_14_14), yields:
% 9.22/2.72  | (219)  ? [v0] :  ? [v1] :  ? [v2] : (u1_struct_0(all_0_14_14) = v0 & k7_lopclset(all_0_14_14) = v1 & k1_zfmisc_1(v1) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k4_xboole_0(v1, v4) = v5) |  ~ (k8_funct_2(v0, v2, all_0_10_10, v3) = v4) |  ~ m1_subset_1(v3, v0) |  ? [v6] : (k8_funct_2(v0, v2, all_0_10_10, v6) = v5 & k7_lattices(all_0_14_14, v3) = v6)) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k8_funct_2(v0, v2, all_0_10_10, v4) = v5) |  ~ (k7_lattices(all_0_14_14, v3) = v4) |  ~ m1_subset_1(v3, v0) |  ? [v6] : (k4_xboole_0(v1, v6) = v5 & k8_funct_2(v0, v2, all_0_10_10, v3) = v6)))
% 9.48/2.72  |
% 9.48/2.72  | Instantiating formula (148) with all_0_9_9, all_0_14_14 and discharging atoms k6_lattices(all_0_14_14) = all_0_9_9, l3_lattices(all_0_14_14), v17_lattices(all_0_14_14), v10_lattices(all_0_14_14),  ~ v3_struct_0(all_0_14_14), yields:
% 9.48/2.72  | (220)  ? [v0] : (k7_lattices(all_0_14_14, v0) = all_0_9_9 & k5_lattices(all_0_14_14) = v0)
% 9.48/2.72  |
% 9.48/2.72  | Instantiating formula (87) with all_0_13_13, all_0_14_14 and discharging atoms u1_struct_0(all_0_14_14) = all_0_13_13, l3_lattices(all_0_14_14), v17_lattices(all_0_14_14), v10_lattices(all_0_14_14),  ~ v3_realset2(all_0_14_14),  ~ v3_struct_0(all_0_14_14), yields:
% 9.48/2.72  | (221)  ? [v0] :  ? [v1] :  ? [v2] : (k9_lopclset(all_0_14_14) = v2 & k7_lopclset(all_0_14_14) = v0 & k1_zfmisc_1(v0) = v1 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k4_xboole_0(v0, v4) = v5) |  ~ (k8_funct_2(all_0_13_13, v1, v2, v3) = v4) |  ~ m1_subset_1(v3, all_0_13_13) |  ? [v6] : (k8_funct_2(all_0_13_13, v1, v2, v6) = v5 & k7_lattices(all_0_14_14, v3) = v6)) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k8_funct_2(all_0_13_13, v1, v2, v4) = v5) |  ~ (k7_lattices(all_0_14_14, v3) = v4) |  ~ m1_subset_1(v3, all_0_13_13) |  ? [v6] : (k4_xboole_0(v0, v6) = v5 & k8_funct_2(all_0_13_13, v1, v2, v3) = v6)))
% 9.48/2.73  |
% 9.48/2.73  | Instantiating formula (93) with all_0_13_13, all_0_14_14 and discharging atoms u1_struct_0(all_0_14_14) = all_0_13_13, l3_lattices(all_0_14_14), v17_lattices(all_0_14_14), v10_lattices(all_0_14_14),  ~ v3_realset2(all_0_14_14),  ~ v3_struct_0(all_0_14_14), yields:
% 9.48/2.73  | (222)  ? [v0] :  ? [v1] :  ? [v2] : (k9_lopclset(all_0_14_14) = v0 & k7_lopclset(all_0_14_14) = v1 & k1_zfmisc_1(v1) = v2 & m2_relset_1(v0, all_0_13_13, v2) & v1_funct_2(v0, all_0_13_13, v2) & v1_funct_1(v0))
% 9.48/2.73  |
% 9.48/2.73  | Instantiating formula (141) with all_0_13_13, all_0_14_14 and discharging atoms u1_struct_0(all_0_14_14) = all_0_13_13, l3_lattices(all_0_14_14), v17_lattices(all_0_14_14), v10_lattices(all_0_14_14),  ~ v3_realset2(all_0_14_14),  ~ v3_struct_0(all_0_14_14), yields:
% 9.48/2.73  | (223)  ? [v0] :  ? [v1] :  ? [v2] : (k7_lopclset(all_0_14_14) = v0 & k1_zfmisc_1(v1) = v2 & k1_zfmisc_1(all_0_13_13) = v1 & m1_subset_1(v0, v2))
% 9.48/2.73  |
% 9.48/2.73  | Instantiating formula (117) with all_0_12_12, all_0_14_14 and discharging atoms k7_lopclset(all_0_14_14) = all_0_12_12, l3_lattices(all_0_14_14), v17_lattices(all_0_14_14), v10_lattices(all_0_14_14),  ~ v3_realset2(all_0_14_14),  ~ v3_struct_0(all_0_14_14), yields:
% 9.48/2.73  | (224)  ? [v0] :  ? [v1] :  ? [v2] : (k9_lopclset(all_0_14_14) = v2 & u1_struct_0(all_0_14_14) = v0 & k1_zfmisc_1(all_0_12_12) = v1 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k4_xboole_0(all_0_12_12, v4) = v5) |  ~ (k8_funct_2(v0, v1, v2, v3) = v4) |  ~ m1_subset_1(v3, v0) |  ? [v6] : (k8_funct_2(v0, v1, v2, v6) = v5 & k7_lattices(all_0_14_14, v3) = v6)) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k8_funct_2(v0, v1, v2, v4) = v5) |  ~ (k7_lattices(all_0_14_14, v3) = v4) |  ~ m1_subset_1(v3, v0) |  ? [v6] : (k4_xboole_0(all_0_12_12, v6) = v5 & k8_funct_2(v0, v1, v2, v3) = v6)))
% 9.48/2.73  |
% 9.48/2.73  | Instantiating formula (15) with all_0_12_12, all_0_14_14 and discharging atoms k7_lopclset(all_0_14_14) = all_0_12_12, l3_lattices(all_0_14_14), v17_lattices(all_0_14_14), v10_lattices(all_0_14_14),  ~ v3_realset2(all_0_14_14),  ~ v3_struct_0(all_0_14_14), yields:
% 9.48/2.73  | (225)  ? [v0] :  ? [v1] :  ? [v2] : (k9_lopclset(all_0_14_14) = v0 & u1_struct_0(all_0_14_14) = v1 & k1_zfmisc_1(all_0_12_12) = v2 & m2_relset_1(v0, v1, v2) & v1_funct_2(v0, v1, v2) & v1_funct_1(v0))
% 9.48/2.73  |
% 9.48/2.73  | Instantiating formula (200) with all_0_12_12, all_0_14_14 and discharging atoms k7_lopclset(all_0_14_14) = all_0_12_12, l3_lattices(all_0_14_14), v17_lattices(all_0_14_14), v10_lattices(all_0_14_14),  ~ v3_realset2(all_0_14_14),  ~ v3_struct_0(all_0_14_14), yields:
% 9.48/2.73  | (226)  ? [v0] :  ? [v1] :  ? [v2] : (u1_struct_0(all_0_14_14) = v0 & k1_zfmisc_1(v1) = v2 & k1_zfmisc_1(v0) = v1 & m1_subset_1(all_0_12_12, v2))
% 9.48/2.73  |
% 9.48/2.73  | Instantiating (224) with all_24_0_33, all_24_1_34, all_24_2_35 yields:
% 9.48/2.73  | (227) k9_lopclset(all_0_14_14) = all_24_0_33 & u1_struct_0(all_0_14_14) = all_24_2_35 & k1_zfmisc_1(all_0_12_12) = all_24_1_34 &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(all_0_12_12, v1) = v2) |  ~ (k8_funct_2(all_24_2_35, all_24_1_34, all_24_0_33, v0) = v1) |  ~ m1_subset_1(v0, all_24_2_35) |  ? [v3] : (k8_funct_2(all_24_2_35, all_24_1_34, all_24_0_33, v3) = v2 & k7_lattices(all_0_14_14, v0) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k8_funct_2(all_24_2_35, all_24_1_34, all_24_0_33, v1) = v2) |  ~ (k7_lattices(all_0_14_14, v0) = v1) |  ~ m1_subset_1(v0, all_24_2_35) |  ? [v3] : (k4_xboole_0(all_0_12_12, v3) = v2 & k8_funct_2(all_24_2_35, all_24_1_34, all_24_0_33, v0) = v3))
% 9.48/2.73  |
% 9.48/2.73  | Applying alpha-rule on (227) yields:
% 9.48/2.73  | (228)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k8_funct_2(all_24_2_35, all_24_1_34, all_24_0_33, v1) = v2) |  ~ (k7_lattices(all_0_14_14, v0) = v1) |  ~ m1_subset_1(v0, all_24_2_35) |  ? [v3] : (k4_xboole_0(all_0_12_12, v3) = v2 & k8_funct_2(all_24_2_35, all_24_1_34, all_24_0_33, v0) = v3))
% 9.48/2.73  | (229) k1_zfmisc_1(all_0_12_12) = all_24_1_34
% 9.48/2.73  | (230)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(all_0_12_12, v1) = v2) |  ~ (k8_funct_2(all_24_2_35, all_24_1_34, all_24_0_33, v0) = v1) |  ~ m1_subset_1(v0, all_24_2_35) |  ? [v3] : (k8_funct_2(all_24_2_35, all_24_1_34, all_24_0_33, v3) = v2 & k7_lattices(all_0_14_14, v0) = v3))
% 9.48/2.73  | (231) k9_lopclset(all_0_14_14) = all_24_0_33
% 9.48/2.73  | (232) u1_struct_0(all_0_14_14) = all_24_2_35
% 9.48/2.73  |
% 9.48/2.73  | Instantiating (226) with all_29_0_37, all_29_1_38, all_29_2_39 yields:
% 9.48/2.73  | (233) u1_struct_0(all_0_14_14) = all_29_2_39 & k1_zfmisc_1(all_29_1_38) = all_29_0_37 & k1_zfmisc_1(all_29_2_39) = all_29_1_38 & m1_subset_1(all_0_12_12, all_29_0_37)
% 9.48/2.73  |
% 9.48/2.73  | Applying alpha-rule on (233) yields:
% 9.48/2.73  | (234) u1_struct_0(all_0_14_14) = all_29_2_39
% 9.48/2.73  | (235) k1_zfmisc_1(all_29_1_38) = all_29_0_37
% 9.48/2.73  | (236) k1_zfmisc_1(all_29_2_39) = all_29_1_38
% 9.48/2.73  | (237) m1_subset_1(all_0_12_12, all_29_0_37)
% 9.48/2.73  |
% 9.48/2.73  | Instantiating (220) with all_31_0_40 yields:
% 9.48/2.73  | (238) k7_lattices(all_0_14_14, all_31_0_40) = all_0_9_9 & k5_lattices(all_0_14_14) = all_31_0_40
% 9.48/2.73  |
% 9.48/2.73  | Applying alpha-rule on (238) yields:
% 9.48/2.73  | (239) k7_lattices(all_0_14_14, all_31_0_40) = all_0_9_9
% 9.48/2.73  | (240) k5_lattices(all_0_14_14) = all_31_0_40
% 9.48/2.73  |
% 9.48/2.73  | Instantiating (225) with all_33_0_41, all_33_1_42, all_33_2_43 yields:
% 9.48/2.73  | (241) k9_lopclset(all_0_14_14) = all_33_2_43 & u1_struct_0(all_0_14_14) = all_33_1_42 & k1_zfmisc_1(all_0_12_12) = all_33_0_41 & m2_relset_1(all_33_2_43, all_33_1_42, all_33_0_41) & v1_funct_2(all_33_2_43, all_33_1_42, all_33_0_41) & v1_funct_1(all_33_2_43)
% 9.48/2.73  |
% 9.48/2.73  | Applying alpha-rule on (241) yields:
% 9.48/2.73  | (242) k9_lopclset(all_0_14_14) = all_33_2_43
% 9.48/2.73  | (243) k1_zfmisc_1(all_0_12_12) = all_33_0_41
% 9.48/2.73  | (244) v1_funct_2(all_33_2_43, all_33_1_42, all_33_0_41)
% 9.48/2.73  | (245) m2_relset_1(all_33_2_43, all_33_1_42, all_33_0_41)
% 9.48/2.73  | (246) v1_funct_1(all_33_2_43)
% 9.48/2.73  | (247) u1_struct_0(all_0_14_14) = all_33_1_42
% 9.48/2.73  |
% 9.48/2.73  | Instantiating (219) with all_35_0_44, all_35_1_45, all_35_2_46 yields:
% 9.48/2.73  | (248) u1_struct_0(all_0_14_14) = all_35_2_46 & k7_lopclset(all_0_14_14) = all_35_1_45 & k1_zfmisc_1(all_35_1_45) = all_35_0_44 &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(all_35_1_45, v1) = v2) |  ~ (k8_funct_2(all_35_2_46, all_35_0_44, all_0_10_10, v0) = v1) |  ~ m1_subset_1(v0, all_35_2_46) |  ? [v3] : (k8_funct_2(all_35_2_46, all_35_0_44, all_0_10_10, v3) = v2 & k7_lattices(all_0_14_14, v0) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k8_funct_2(all_35_2_46, all_35_0_44, all_0_10_10, v1) = v2) |  ~ (k7_lattices(all_0_14_14, v0) = v1) |  ~ m1_subset_1(v0, all_35_2_46) |  ? [v3] : (k4_xboole_0(all_35_1_45, v3) = v2 & k8_funct_2(all_35_2_46, all_35_0_44, all_0_10_10, v0) = v3))
% 9.48/2.73  |
% 9.48/2.73  | Applying alpha-rule on (248) yields:
% 9.48/2.73  | (249) k1_zfmisc_1(all_35_1_45) = all_35_0_44
% 9.48/2.73  | (250) k7_lopclset(all_0_14_14) = all_35_1_45
% 9.48/2.73  | (251) u1_struct_0(all_0_14_14) = all_35_2_46
% 9.48/2.73  | (252)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(all_35_1_45, v1) = v2) |  ~ (k8_funct_2(all_35_2_46, all_35_0_44, all_0_10_10, v0) = v1) |  ~ m1_subset_1(v0, all_35_2_46) |  ? [v3] : (k8_funct_2(all_35_2_46, all_35_0_44, all_0_10_10, v3) = v2 & k7_lattices(all_0_14_14, v0) = v3))
% 9.48/2.73  | (253)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k8_funct_2(all_35_2_46, all_35_0_44, all_0_10_10, v1) = v2) |  ~ (k7_lattices(all_0_14_14, v0) = v1) |  ~ m1_subset_1(v0, all_35_2_46) |  ? [v3] : (k4_xboole_0(all_35_1_45, v3) = v2 & k8_funct_2(all_35_2_46, all_35_0_44, all_0_10_10, v0) = v3))
% 9.48/2.73  |
% 9.48/2.73  | Instantiating (222) with all_41_0_48, all_41_1_49, all_41_2_50 yields:
% 9.48/2.73  | (254) k9_lopclset(all_0_14_14) = all_41_2_50 & k7_lopclset(all_0_14_14) = all_41_1_49 & k1_zfmisc_1(all_41_1_49) = all_41_0_48 & m2_relset_1(all_41_2_50, all_0_13_13, all_41_0_48) & v1_funct_2(all_41_2_50, all_0_13_13, all_41_0_48) & v1_funct_1(all_41_2_50)
% 9.48/2.73  |
% 9.48/2.73  | Applying alpha-rule on (254) yields:
% 9.48/2.73  | (255) k9_lopclset(all_0_14_14) = all_41_2_50
% 9.48/2.73  | (256) k7_lopclset(all_0_14_14) = all_41_1_49
% 9.48/2.73  | (257) v1_funct_2(all_41_2_50, all_0_13_13, all_41_0_48)
% 9.48/2.73  | (258) k1_zfmisc_1(all_41_1_49) = all_41_0_48
% 9.48/2.73  | (259) v1_funct_1(all_41_2_50)
% 9.48/2.73  | (260) m2_relset_1(all_41_2_50, all_0_13_13, all_41_0_48)
% 9.48/2.73  |
% 9.48/2.73  | Instantiating (221) with all_43_0_51, all_43_1_52, all_43_2_53 yields:
% 9.48/2.73  | (261) k9_lopclset(all_0_14_14) = all_43_0_51 & k7_lopclset(all_0_14_14) = all_43_2_53 & k1_zfmisc_1(all_43_2_53) = all_43_1_52 &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(all_43_2_53, v1) = v2) |  ~ (k8_funct_2(all_0_13_13, all_43_1_52, all_43_0_51, v0) = v1) |  ~ m1_subset_1(v0, all_0_13_13) |  ? [v3] : (k8_funct_2(all_0_13_13, all_43_1_52, all_43_0_51, v3) = v2 & k7_lattices(all_0_14_14, v0) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k8_funct_2(all_0_13_13, all_43_1_52, all_43_0_51, v1) = v2) |  ~ (k7_lattices(all_0_14_14, v0) = v1) |  ~ m1_subset_1(v0, all_0_13_13) |  ? [v3] : (k4_xboole_0(all_43_2_53, v3) = v2 & k8_funct_2(all_0_13_13, all_43_1_52, all_43_0_51, v0) = v3))
% 9.48/2.73  |
% 9.48/2.73  | Applying alpha-rule on (261) yields:
% 9.48/2.73  | (262) k7_lopclset(all_0_14_14) = all_43_2_53
% 9.48/2.73  | (263) k1_zfmisc_1(all_43_2_53) = all_43_1_52
% 9.48/2.73  | (264) k9_lopclset(all_0_14_14) = all_43_0_51
% 9.48/2.73  | (265)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_xboole_0(all_43_2_53, v1) = v2) |  ~ (k8_funct_2(all_0_13_13, all_43_1_52, all_43_0_51, v0) = v1) |  ~ m1_subset_1(v0, all_0_13_13) |  ? [v3] : (k8_funct_2(all_0_13_13, all_43_1_52, all_43_0_51, v3) = v2 & k7_lattices(all_0_14_14, v0) = v3))
% 9.48/2.73  | (266)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k8_funct_2(all_0_13_13, all_43_1_52, all_43_0_51, v1) = v2) |  ~ (k7_lattices(all_0_14_14, v0) = v1) |  ~ m1_subset_1(v0, all_0_13_13) |  ? [v3] : (k4_xboole_0(all_43_2_53, v3) = v2 & k8_funct_2(all_0_13_13, all_43_1_52, all_43_0_51, v0) = v3))
% 9.48/2.73  |
% 9.48/2.73  | Instantiating (223) with all_46_0_54, all_46_1_55, all_46_2_56 yields:
% 9.48/2.73  | (267) k7_lopclset(all_0_14_14) = all_46_2_56 & k1_zfmisc_1(all_46_1_55) = all_46_0_54 & k1_zfmisc_1(all_0_13_13) = all_46_1_55 & m1_subset_1(all_46_2_56, all_46_0_54)
% 9.48/2.73  |
% 9.48/2.73  | Applying alpha-rule on (267) yields:
% 9.48/2.73  | (268) k7_lopclset(all_0_14_14) = all_46_2_56
% 9.48/2.73  | (269) k1_zfmisc_1(all_46_1_55) = all_46_0_54
% 9.48/2.74  | (270) k1_zfmisc_1(all_0_13_13) = all_46_1_55
% 9.48/2.74  | (271) m1_subset_1(all_46_2_56, all_46_0_54)
% 9.48/2.74  |
% 9.48/2.74  | Instantiating (218) with all_48_0_57, all_48_1_58, all_48_2_59 yields:
% 9.48/2.74  | (272) u1_struct_0(all_0_14_14) = all_48_2_59 & k7_lopclset(all_0_14_14) = all_48_1_58 & k1_zfmisc_1(all_48_1_58) = all_48_0_57 & m2_relset_1(all_0_10_10, all_48_2_59, all_48_0_57) & v1_funct_2(all_0_10_10, all_48_2_59, all_48_0_57)
% 9.48/2.74  |
% 9.48/2.74  | Applying alpha-rule on (272) yields:
% 9.48/2.74  | (273) m2_relset_1(all_0_10_10, all_48_2_59, all_48_0_57)
% 9.48/2.74  | (274) u1_struct_0(all_0_14_14) = all_48_2_59
% 9.48/2.74  | (275) v1_funct_2(all_0_10_10, all_48_2_59, all_48_0_57)
% 9.48/2.74  | (276) k1_zfmisc_1(all_48_1_58) = all_48_0_57
% 9.48/2.74  | (277) k7_lopclset(all_0_14_14) = all_48_1_58
% 9.48/2.74  |
% 9.48/2.74  | Instantiating formula (92) with all_0_14_14, all_43_0_51, all_0_10_10 and discharging atoms k9_lopclset(all_0_14_14) = all_43_0_51, k9_lopclset(all_0_14_14) = all_0_10_10, yields:
% 9.48/2.74  | (278) all_43_0_51 = all_0_10_10
% 9.48/2.74  |
% 9.48/2.74  | Instantiating formula (92) with all_0_14_14, all_41_2_50, all_43_0_51 and discharging atoms k9_lopclset(all_0_14_14) = all_43_0_51, k9_lopclset(all_0_14_14) = all_41_2_50, yields:
% 9.48/2.74  | (279) all_43_0_51 = all_41_2_50
% 9.48/2.74  |
% 9.48/2.74  | Instantiating formula (92) with all_0_14_14, all_33_2_43, all_41_2_50 and discharging atoms k9_lopclset(all_0_14_14) = all_41_2_50, k9_lopclset(all_0_14_14) = all_33_2_43, yields:
% 9.48/2.74  | (280) all_41_2_50 = all_33_2_43
% 9.48/2.74  |
% 9.48/2.74  | Instantiating formula (92) with all_0_14_14, all_24_0_33, all_33_2_43 and discharging atoms k9_lopclset(all_0_14_14) = all_33_2_43, k9_lopclset(all_0_14_14) = all_24_0_33, yields:
% 9.48/2.74  | (281) all_33_2_43 = all_24_0_33
% 9.48/2.74  |
% 9.48/2.74  | Instantiating formula (43) with all_0_14_14, all_35_2_46, all_0_13_13 and discharging atoms u1_struct_0(all_0_14_14) = all_35_2_46, u1_struct_0(all_0_14_14) = all_0_13_13, yields:
% 9.48/2.74  | (282) all_35_2_46 = all_0_13_13
% 9.48/2.74  |
% 9.48/2.74  | Instantiating formula (43) with all_0_14_14, all_35_2_46, all_48_2_59 and discharging atoms u1_struct_0(all_0_14_14) = all_48_2_59, u1_struct_0(all_0_14_14) = all_35_2_46, yields:
% 9.48/2.74  | (283) all_48_2_59 = all_35_2_46
% 9.48/2.74  |
% 9.48/2.74  | Instantiating formula (43) with all_0_14_14, all_33_1_42, all_35_2_46 and discharging atoms u1_struct_0(all_0_14_14) = all_35_2_46, u1_struct_0(all_0_14_14) = all_33_1_42, yields:
% 9.48/2.74  | (284) all_35_2_46 = all_33_1_42
% 9.48/2.74  |
% 9.48/2.74  | Instantiating formula (43) with all_0_14_14, all_29_2_39, all_48_2_59 and discharging atoms u1_struct_0(all_0_14_14) = all_48_2_59, u1_struct_0(all_0_14_14) = all_29_2_39, yields:
% 9.48/2.74  | (285) all_48_2_59 = all_29_2_39
% 9.48/2.74  |
% 9.48/2.74  | Instantiating formula (43) with all_0_14_14, all_24_2_35, all_48_2_59 and discharging atoms u1_struct_0(all_0_14_14) = all_48_2_59, u1_struct_0(all_0_14_14) = all_24_2_35, yields:
% 9.48/2.74  | (286) all_48_2_59 = all_24_2_35
% 9.48/2.74  |
% 9.48/2.74  | Instantiating formula (124) with all_0_14_14, all_46_2_56, all_0_12_12 and discharging atoms k7_lopclset(all_0_14_14) = all_46_2_56, k7_lopclset(all_0_14_14) = all_0_12_12, yields:
% 9.48/2.74  | (287) all_46_2_56 = all_0_12_12
% 9.48/2.74  |
% 9.48/2.74  | Instantiating formula (124) with all_0_14_14, all_43_2_53, all_46_2_56 and discharging atoms k7_lopclset(all_0_14_14) = all_46_2_56, k7_lopclset(all_0_14_14) = all_43_2_53, yields:
% 9.48/2.74  | (288) all_46_2_56 = all_43_2_53
% 9.48/2.74  |
% 9.48/2.74  | Instantiating formula (124) with all_0_14_14, all_41_1_49, all_48_1_58 and discharging atoms k7_lopclset(all_0_14_14) = all_48_1_58, k7_lopclset(all_0_14_14) = all_41_1_49, yields:
% 9.48/2.74  | (289) all_48_1_58 = all_41_1_49
% 9.48/2.74  |
% 9.48/2.74  | Instantiating formula (124) with all_0_14_14, all_41_1_49, all_43_2_53 and discharging atoms k7_lopclset(all_0_14_14) = all_43_2_53, k7_lopclset(all_0_14_14) = all_41_1_49, yields:
% 9.48/2.74  | (290) all_43_2_53 = all_41_1_49
% 9.48/2.74  |
% 9.48/2.74  | Instantiating formula (124) with all_0_14_14, all_35_1_45, all_48_1_58 and discharging atoms k7_lopclset(all_0_14_14) = all_48_1_58, k7_lopclset(all_0_14_14) = all_35_1_45, yields:
% 9.48/2.74  | (291) all_48_1_58 = all_35_1_45
% 9.48/2.74  |
% 9.48/2.74  | Instantiating formula (9) with all_0_12_12, all_33_0_41, all_0_11_11 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_33_0_41, k1_zfmisc_1(all_0_12_12) = all_0_11_11, yields:
% 9.48/2.74  | (292) all_33_0_41 = all_0_11_11
% 9.48/2.74  |
% 9.48/2.74  | Instantiating formula (9) with all_0_12_12, all_24_1_34, all_33_0_41 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_33_0_41, k1_zfmisc_1(all_0_12_12) = all_24_1_34, yields:
% 9.48/2.74  | (293) all_33_0_41 = all_24_1_34
% 9.48/2.74  |
% 9.48/2.74  | Combining equations (289,291) yields a new equation:
% 9.48/2.74  | (294) all_41_1_49 = all_35_1_45
% 9.48/2.74  |
% 9.48/2.74  | Simplifying 294 yields:
% 9.48/2.74  | (295) all_41_1_49 = all_35_1_45
% 9.48/2.74  |
% 9.48/2.74  | Combining equations (283,285) yields a new equation:
% 9.48/2.74  | (296) all_35_2_46 = all_29_2_39
% 9.48/2.74  |
% 9.48/2.74  | Simplifying 296 yields:
% 9.48/2.74  | (297) all_35_2_46 = all_29_2_39
% 9.48/2.74  |
% 9.48/2.74  | Combining equations (286,285) yields a new equation:
% 9.48/2.74  | (298) all_29_2_39 = all_24_2_35
% 9.48/2.74  |
% 9.48/2.74  | Combining equations (288,287) yields a new equation:
% 9.48/2.74  | (299) all_43_2_53 = all_0_12_12
% 9.48/2.74  |
% 9.48/2.74  | Simplifying 299 yields:
% 9.48/2.74  | (300) all_43_2_53 = all_0_12_12
% 9.48/2.74  |
% 9.48/2.74  | Combining equations (279,278) yields a new equation:
% 9.48/2.74  | (301) all_41_2_50 = all_0_10_10
% 9.48/2.74  |
% 9.48/2.74  | Simplifying 301 yields:
% 9.48/2.74  | (302) all_41_2_50 = all_0_10_10
% 9.48/2.74  |
% 9.48/2.74  | Combining equations (290,300) yields a new equation:
% 9.48/2.74  | (303) all_41_1_49 = all_0_12_12
% 9.48/2.74  |
% 9.48/2.74  | Simplifying 303 yields:
% 9.48/2.74  | (304) all_41_1_49 = all_0_12_12
% 9.48/2.74  |
% 9.48/2.74  | Combining equations (304,295) yields a new equation:
% 9.48/2.74  | (305) all_35_1_45 = all_0_12_12
% 9.48/2.74  |
% 9.48/2.74  | Combining equations (280,302) yields a new equation:
% 9.48/2.74  | (306) all_33_2_43 = all_0_10_10
% 9.48/2.74  |
% 9.48/2.74  | Simplifying 306 yields:
% 9.48/2.74  | (307) all_33_2_43 = all_0_10_10
% 9.48/2.74  |
% 9.48/2.74  | Combining equations (297,284) yields a new equation:
% 9.48/2.74  | (308) all_33_1_42 = all_29_2_39
% 9.48/2.74  |
% 9.48/2.74  | Combining equations (282,284) yields a new equation:
% 9.48/2.74  | (309) all_33_1_42 = all_0_13_13
% 9.48/2.74  |
% 9.48/2.74  | Combining equations (292,293) yields a new equation:
% 9.48/2.74  | (310) all_24_1_34 = all_0_11_11
% 9.48/2.74  |
% 9.48/2.74  | Combining equations (308,309) yields a new equation:
% 9.48/2.74  | (311) all_29_2_39 = all_0_13_13
% 9.48/2.74  |
% 9.48/2.74  | Simplifying 311 yields:
% 9.48/2.74  | (312) all_29_2_39 = all_0_13_13
% 9.48/2.74  |
% 9.48/2.74  | Combining equations (281,307) yields a new equation:
% 9.48/2.74  | (313) all_24_0_33 = all_0_10_10
% 9.48/2.74  |
% 9.48/2.74  | Simplifying 313 yields:
% 9.48/2.74  | (314) all_24_0_33 = all_0_10_10
% 9.48/2.74  |
% 9.48/2.74  | Combining equations (312,298) yields a new equation:
% 9.48/2.74  | (315) all_24_2_35 = all_0_13_13
% 9.48/2.74  |
% 9.48/2.74  | Combining equations (305,295) yields a new equation:
% 9.48/2.74  | (304) all_41_1_49 = all_0_12_12
% 9.48/2.74  |
% 9.48/2.74  | Combining equations (305,291) yields a new equation:
% 9.48/2.74  | (317) all_48_1_58 = all_0_12_12
% 9.48/2.74  |
% 9.48/2.74  | From (314) and (231) follows:
% 9.48/2.74  | (135) k9_lopclset(all_0_14_14) = all_0_10_10
% 9.48/2.74  |
% 9.48/2.74  | From (315) and (232) follows:
% 9.48/2.74  | (34) u1_struct_0(all_0_14_14) = all_0_13_13
% 9.48/2.74  |
% 9.48/2.74  | From (305) and (250) follows:
% 9.48/2.74  | (182) k7_lopclset(all_0_14_14) = all_0_12_12
% 9.48/2.74  |
% 9.48/2.74  | From (317) and (276) follows:
% 9.48/2.74  | (321) k1_zfmisc_1(all_0_12_12) = all_48_0_57
% 9.48/2.74  |
% 9.48/2.74  | From (300) and (263) follows:
% 9.48/2.74  | (322) k1_zfmisc_1(all_0_12_12) = all_43_1_52
% 9.48/2.74  |
% 9.48/2.74  | From (304) and (258) follows:
% 9.48/2.74  | (323) k1_zfmisc_1(all_0_12_12) = all_41_0_48
% 9.48/2.74  |
% 9.48/2.74  | From (305) and (249) follows:
% 9.48/2.74  | (324) k1_zfmisc_1(all_0_12_12) = all_35_0_44
% 9.48/2.74  |
% 9.48/2.74  | From (310) and (229) follows:
% 9.48/2.74  | (26) k1_zfmisc_1(all_0_12_12) = all_0_11_11
% 9.48/2.74  |
% 9.48/2.74  | Instantiating formula (9) with all_0_12_12, all_43_1_52, all_0_11_11 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_43_1_52, k1_zfmisc_1(all_0_12_12) = all_0_11_11, yields:
% 9.48/2.74  | (326) all_43_1_52 = all_0_11_11
% 9.48/2.74  |
% 9.48/2.74  | Instantiating formula (9) with all_0_12_12, all_43_1_52, all_48_0_57 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_48_0_57, k1_zfmisc_1(all_0_12_12) = all_43_1_52, yields:
% 9.48/2.74  | (327) all_48_0_57 = all_43_1_52
% 9.48/2.74  |
% 9.48/2.74  | Instantiating formula (9) with all_0_12_12, all_41_0_48, all_43_1_52 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_43_1_52, k1_zfmisc_1(all_0_12_12) = all_41_0_48, yields:
% 9.48/2.74  | (328) all_43_1_52 = all_41_0_48
% 9.48/2.74  |
% 9.48/2.74  | Instantiating formula (9) with all_0_12_12, all_35_0_44, all_48_0_57 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_48_0_57, k1_zfmisc_1(all_0_12_12) = all_35_0_44, yields:
% 9.48/2.74  | (329) all_48_0_57 = all_35_0_44
% 9.48/2.74  |
% 9.48/2.74  | Combining equations (327,329) yields a new equation:
% 9.48/2.74  | (330) all_43_1_52 = all_35_0_44
% 9.48/2.74  |
% 9.48/2.74  | Simplifying 330 yields:
% 9.48/2.74  | (331) all_43_1_52 = all_35_0_44
% 9.48/2.74  |
% 9.48/2.74  | Combining equations (331,328) yields a new equation:
% 9.48/2.74  | (332) all_41_0_48 = all_35_0_44
% 9.48/2.74  |
% 9.48/2.74  | Combining equations (326,328) yields a new equation:
% 9.48/2.74  | (333) all_41_0_48 = all_0_11_11
% 9.48/2.74  |
% 9.48/2.74  | Combining equations (332,333) yields a new equation:
% 9.48/2.74  | (334) all_35_0_44 = all_0_11_11
% 9.48/2.75  |
% 9.48/2.75  | Simplifying 334 yields:
% 9.48/2.75  | (335) all_35_0_44 = all_0_11_11
% 9.48/2.75  |
% 9.48/2.75  | Combining equations (333,328) yields a new equation:
% 9.48/2.75  | (326) all_43_1_52 = all_0_11_11
% 9.48/2.75  |
% 9.48/2.75  | From (335) and (324) follows:
% 9.48/2.75  | (26) k1_zfmisc_1(all_0_12_12) = all_0_11_11
% 9.48/2.75  |
% 9.48/2.75  | Instantiating formula (104) with all_0_9_9, all_31_0_40, all_0_14_14 and discharging atoms k7_lattices(all_0_14_14, all_31_0_40) = all_0_9_9, l3_lattices(all_0_14_14),  ~ v3_struct_0(all_0_14_14), yields:
% 9.48/2.75  | (338)  ? [v0] : (u1_struct_0(all_0_14_14) = v0 & ( ~ m1_subset_1(all_31_0_40, v0) | m1_subset_1(all_0_9_9, v0)))
% 9.48/2.75  |
% 9.48/2.75  | Instantiating formula (144) with all_0_9_9, all_0_14_14 and discharging atoms k6_lattices(all_0_14_14) = all_0_9_9, l2_lattices(all_0_14_14),  ~ v3_struct_0(all_0_14_14), yields:
% 9.48/2.75  | (339)  ? [v0] : (u1_struct_0(all_0_14_14) = v0 & m1_subset_1(all_0_9_9, v0))
% 9.48/2.75  |
% 9.48/2.75  | Instantiating formula (45) with all_0_13_13, all_0_14_14 and discharging atoms u1_struct_0(all_0_14_14) = all_0_13_13, l1_lattices(all_0_14_14),  ~ v3_struct_0(all_0_14_14), yields:
% 9.48/2.75  | (340)  ? [v0] : (k5_lattices(all_0_14_14) = v0 & m1_subset_1(v0, all_0_13_13))
% 9.48/2.75  |
% 9.48/2.75  | Instantiating formula (129) with all_31_0_40, all_0_14_14 and discharging atoms k5_lattices(all_0_14_14) = all_31_0_40, l1_lattices(all_0_14_14),  ~ v3_struct_0(all_0_14_14), yields:
% 9.48/2.75  | (341)  ? [v0] : (u1_struct_0(all_0_14_14) = v0 & m1_subset_1(all_31_0_40, v0))
% 9.48/2.75  |
% 9.48/2.75  | Instantiating (339) with all_72_0_62 yields:
% 9.48/2.75  | (342) u1_struct_0(all_0_14_14) = all_72_0_62 & m1_subset_1(all_0_9_9, all_72_0_62)
% 9.48/2.75  |
% 9.48/2.75  | Applying alpha-rule on (342) yields:
% 9.48/2.75  | (343) u1_struct_0(all_0_14_14) = all_72_0_62
% 9.48/2.75  | (344) m1_subset_1(all_0_9_9, all_72_0_62)
% 9.48/2.75  |
% 9.48/2.75  | Instantiating (341) with all_74_0_63 yields:
% 9.48/2.75  | (345) u1_struct_0(all_0_14_14) = all_74_0_63 & m1_subset_1(all_31_0_40, all_74_0_63)
% 9.48/2.75  |
% 9.48/2.75  | Applying alpha-rule on (345) yields:
% 9.48/2.75  | (346) u1_struct_0(all_0_14_14) = all_74_0_63
% 9.48/2.75  | (347) m1_subset_1(all_31_0_40, all_74_0_63)
% 9.48/2.75  |
% 9.48/2.75  | Instantiating (340) with all_76_0_64 yields:
% 9.48/2.75  | (348) k5_lattices(all_0_14_14) = all_76_0_64 & m1_subset_1(all_76_0_64, all_0_13_13)
% 9.48/2.75  |
% 9.48/2.75  | Applying alpha-rule on (348) yields:
% 9.48/2.75  | (349) k5_lattices(all_0_14_14) = all_76_0_64
% 9.48/2.75  | (350) m1_subset_1(all_76_0_64, all_0_13_13)
% 9.48/2.75  |
% 9.48/2.75  | Instantiating (338) with all_78_0_65 yields:
% 9.48/2.75  | (351) u1_struct_0(all_0_14_14) = all_78_0_65 & ( ~ m1_subset_1(all_31_0_40, all_78_0_65) | m1_subset_1(all_0_9_9, all_78_0_65))
% 9.48/2.75  |
% 9.48/2.75  | Applying alpha-rule on (351) yields:
% 9.48/2.75  | (352) u1_struct_0(all_0_14_14) = all_78_0_65
% 9.48/2.75  | (353)  ~ m1_subset_1(all_31_0_40, all_78_0_65) | m1_subset_1(all_0_9_9, all_78_0_65)
% 9.48/2.75  |
% 9.48/2.75  | Instantiating formula (43) with all_0_14_14, all_74_0_63, all_0_13_13 and discharging atoms u1_struct_0(all_0_14_14) = all_74_0_63, u1_struct_0(all_0_14_14) = all_0_13_13, yields:
% 9.48/2.75  | (354) all_74_0_63 = all_0_13_13
% 9.48/2.75  |
% 9.48/2.75  | Instantiating formula (43) with all_0_14_14, all_74_0_63, all_78_0_65 and discharging atoms u1_struct_0(all_0_14_14) = all_78_0_65, u1_struct_0(all_0_14_14) = all_74_0_63, yields:
% 9.48/2.75  | (355) all_78_0_65 = all_74_0_63
% 9.48/2.75  |
% 9.48/2.75  | Instantiating formula (43) with all_0_14_14, all_72_0_62, all_78_0_65 and discharging atoms u1_struct_0(all_0_14_14) = all_78_0_65, u1_struct_0(all_0_14_14) = all_72_0_62, yields:
% 9.48/2.75  | (356) all_78_0_65 = all_72_0_62
% 9.48/2.75  |
% 9.48/2.75  | Instantiating formula (201) with all_0_14_14, all_76_0_64, all_31_0_40 and discharging atoms k5_lattices(all_0_14_14) = all_76_0_64, k5_lattices(all_0_14_14) = all_31_0_40, yields:
% 9.48/2.75  | (357) all_76_0_64 = all_31_0_40
% 9.48/2.75  |
% 9.48/2.75  | Combining equations (355,356) yields a new equation:
% 9.48/2.75  | (358) all_74_0_63 = all_72_0_62
% 9.48/2.75  |
% 9.48/2.75  | Simplifying 358 yields:
% 9.48/2.75  | (359) all_74_0_63 = all_72_0_62
% 9.48/2.75  |
% 9.48/2.75  | Combining equations (359,354) yields a new equation:
% 9.48/2.75  | (360) all_72_0_62 = all_0_13_13
% 9.48/2.75  |
% 9.48/2.75  | Simplifying 360 yields:
% 9.48/2.75  | (361) all_72_0_62 = all_0_13_13
% 9.48/2.75  |
% 9.48/2.75  | From (361) and (343) follows:
% 9.48/2.75  | (34) u1_struct_0(all_0_14_14) = all_0_13_13
% 9.48/2.75  |
% 9.48/2.75  | From (357) and (349) follows:
% 9.48/2.75  | (240) k5_lattices(all_0_14_14) = all_31_0_40
% 9.48/2.75  |
% 9.48/2.75  | From (354) and (347) follows:
% 9.48/2.75  | (364) m1_subset_1(all_31_0_40, all_0_13_13)
% 9.48/2.75  |
% 9.48/2.75  | Instantiating formula (266) with all_0_8_8, all_0_9_9, all_31_0_40 and discharging atoms k7_lattices(all_0_14_14, all_31_0_40) = all_0_9_9, m1_subset_1(all_31_0_40, all_0_13_13), yields:
% 9.48/2.75  | (365)  ~ (k8_funct_2(all_0_13_13, all_43_1_52, all_43_0_51, all_0_9_9) = all_0_8_8) |  ? [v0] : (k4_xboole_0(all_43_2_53, v0) = all_0_8_8 & k8_funct_2(all_0_13_13, all_43_1_52, all_43_0_51, all_31_0_40) = v0)
% 9.48/2.75  |
% 9.48/2.75  +-Applying beta-rule and splitting (365), into two cases.
% 9.48/2.75  |-Branch one:
% 9.48/2.75  | (366)  ~ (k8_funct_2(all_0_13_13, all_43_1_52, all_43_0_51, all_0_9_9) = all_0_8_8)
% 9.48/2.75  |
% 9.48/2.75  	| From (326)(278) and (366) follows:
% 9.48/2.75  	| (367)  ~ (k8_funct_2(all_0_13_13, all_0_11_11, all_0_10_10, all_0_9_9) = all_0_8_8)
% 9.48/2.75  	|
% 9.48/2.75  	| Using (163) and (367) yields:
% 9.48/2.75  	| (368) $false
% 9.48/2.75  	|
% 9.48/2.75  	|-The branch is then unsatisfiable
% 9.48/2.75  |-Branch two:
% 9.48/2.75  | (369) k8_funct_2(all_0_13_13, all_43_1_52, all_43_0_51, all_0_9_9) = all_0_8_8
% 9.48/2.75  | (370)  ? [v0] : (k4_xboole_0(all_43_2_53, v0) = all_0_8_8 & k8_funct_2(all_0_13_13, all_43_1_52, all_43_0_51, all_31_0_40) = v0)
% 9.48/2.75  |
% 9.48/2.75  	| Instantiating (370) with all_102_0_68 yields:
% 9.48/2.75  	| (371) k4_xboole_0(all_43_2_53, all_102_0_68) = all_0_8_8 & k8_funct_2(all_0_13_13, all_43_1_52, all_43_0_51, all_31_0_40) = all_102_0_68
% 9.48/2.75  	|
% 9.48/2.75  	| Applying alpha-rule on (371) yields:
% 9.48/2.75  	| (372) k4_xboole_0(all_43_2_53, all_102_0_68) = all_0_8_8
% 9.48/2.75  	| (373) k8_funct_2(all_0_13_13, all_43_1_52, all_43_0_51, all_31_0_40) = all_102_0_68
% 9.48/2.75  	|
% 9.48/2.75  	| From (300) and (372) follows:
% 9.48/2.75  	| (374) k4_xboole_0(all_0_12_12, all_102_0_68) = all_0_8_8
% 9.48/2.75  	|
% 9.48/2.75  	| From (326)(278) and (373) follows:
% 9.48/2.75  	| (375) k8_funct_2(all_0_13_13, all_0_11_11, all_0_10_10, all_31_0_40) = all_102_0_68
% 9.48/2.75  	|
% 9.48/2.75  	| Instantiating formula (89) with all_102_0_68, all_31_0_40, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14 and discharging atoms k9_lopclset(all_0_14_14) = all_0_10_10, k8_funct_2(all_0_13_13, all_0_11_11, all_0_10_10, all_31_0_40) = all_102_0_68, u1_struct_0(all_0_14_14) = all_0_13_13, k5_lattices(all_0_14_14) = all_31_0_40, k7_lopclset(all_0_14_14) = all_0_12_12, k1_zfmisc_1(all_0_12_12) = all_0_11_11, l3_lattices(all_0_14_14), v17_lattices(all_0_14_14), v10_lattices(all_0_14_14),  ~ v3_realset2(all_0_14_14),  ~ v3_struct_0(all_0_14_14), yields:
% 9.48/2.75  	| (376) all_102_0_68 = k1_xboole_0
% 9.48/2.75  	|
% 9.48/2.75  	| From (376) and (374) follows:
% 9.48/2.75  	| (377) k4_xboole_0(all_0_12_12, k1_xboole_0) = all_0_8_8
% 9.48/2.75  	|
% 9.48/2.75  	| Instantiating formula (179) with all_0_8_8, all_0_12_12 and discharging atoms k4_xboole_0(all_0_12_12, k1_xboole_0) = all_0_8_8, yields:
% 9.48/2.75  	| (378) all_0_8_8 = all_0_12_12
% 9.48/2.75  	|
% 9.62/2.75  	| Equations (378) can reduce 110 to:
% 9.62/2.75  	| (379) $false
% 9.62/2.75  	|
% 9.62/2.75  	|-The branch is then unsatisfiable
% 9.62/2.75  % SZS output end Proof for theBenchmark
% 9.62/2.75  
% 9.62/2.75  2161ms
%------------------------------------------------------------------------------