%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : LAT289+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 04:32:28 EDT 2022

% Result   : Theorem 5.87s 1.92s
% Output   : Proof 8.97s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LAT289+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : ePrincess-casc -timeout=%d %s
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Wed Jun 29 19:18:01 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.56          ____       _                          
% 0.19/0.56    ___  / __ \_____(_)___  ________  __________
% 0.19/0.56   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.56  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.19/0.56  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.19/0.56  
% 0.19/0.56  A Theorem Prover for First-Order Logic
% 0.19/0.56  (ePrincess v.1.0)
% 0.19/0.56  
% 0.19/0.56  (c) Philipp Rümmer, 2009-2015
% 0.19/0.56  (c) Peter Backeman, 2014-2015
% 0.19/0.56  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.56  Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.56  Bug reports to peter@backeman.se
% 0.19/0.56  
% 0.19/0.56  For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.56  
% 0.19/0.56  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.65/0.61  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.07/1.03  Prover 0: Preprocessing ...
% 3.64/1.41  Prover 0: Warning: ignoring some quantifiers
% 3.64/1.45  Prover 0: Constructing countermodel ...
% 5.87/1.92  Prover 0: proved (1301ms)
% 5.87/1.92  
% 5.87/1.92  No countermodel exists, formula is valid
% 5.87/1.92  % SZS status Theorem for theBenchmark
% 5.87/1.92  
% 5.87/1.92  Generating proof ... Warning: ignoring some quantifiers
% 8.53/2.52  found it (size 88)
% 8.53/2.52  
% 8.53/2.52  % SZS output start Proof for theBenchmark
% 8.53/2.52  Assumed formulas after preprocessing and simplification: 
% 8.53/2.52  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] : (k7_lopclset(v0) = v2 & k9_lopclset(v0) = v4 & k8_funct_2(v1, v3, v4, v5) = v6 & u1_struct_0(v0) = v1 & k1_zfmisc_1(v2) = v3 & l2_lattices(v10) & l1_struct_0(v11) & l1_struct_0(v9) & l1_lattices(v12) & v16_lattices(v14) & v15_lattices(v14) & v14_lattices(v14) & v13_lattices(v14) & v12_lattices(v14) & v11_lattices(v14) & v9_lattices(v14) & v8_lattices(v14) & v7_lattices(v14) & v6_lattices(v14) & v5_lattices(v14) & v4_lattices(v14) & v1_xboole_0(k1_xboole_0) & v1_finset_1(v15) & v5_membered(v13) & v5_membered(k1_xboole_0) & v4_membered(v13) & v4_membered(k1_xboole_0) & v3_membered(v13) & v3_membered(k1_xboole_0) & v2_membered(v13) & v2_membered(k1_xboole_0) & v1_membered(v13) & v1_membered(k1_xboole_0) & r2_hidden(v5, v7) & v1_filter_0(v7, v0) & m1_filter_0(v7, v0) & m1_subset_1(v5, v1) & l3_lattices(v14) & l3_lattices(v8) & l3_lattices(v0) & v17_lattices(v14) & v17_lattices(v0) & v10_lattices(v14) & v10_lattices(v0) &  ~ v1_xboole_0(v15) &  ~ v1_xboole_0(v13) &  ~ r2_hidden(v7, v6) &  ~ v3_realset2(v14) &  ~ v3_realset2(v0) &  ~ v3_struct_0(v14) &  ~ v3_struct_0(v9) &  ~ v3_struct_0(v0) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] : (v17 = v16 |  ~ (k8_funct_2(v21, v20, v19, v18) = v17) |  ~ (k8_funct_2(v21, v20, v19, v18) = v16)) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] : ( ~ (k8_funct_2(v16, v17, v18, v19) = v20) |  ~ v1_funct_2(v18, v16, v17) |  ~ v1_funct_1(v18) |  ~ m1_relset_1(v18, v16, v17) |  ~ m1_subset_1(v19, v16) | k1_funct_1(v18, v19) = v20 | v1_xboole_0(v16)) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] : ( ~ (k8_funct_2(v16, v17, v18, v19) = v20) |  ~ v1_funct_2(v18, v16, v17) |  ~ v1_funct_1(v18) |  ~ m1_relset_1(v18, v16, v17) |  ~ m1_subset_1(v19, v16) | v1_xboole_0(v16) | m1_subset_1(v20, v17)) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : (v17 = v16 |  ~ (k1_funct_1(v19, v18) = v17) |  ~ (k1_funct_1(v19, v18) = v16)) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : (v17 = v16 |  ~ (k2_zfmisc_1(v19, v18) = v17) |  ~ (k2_zfmisc_1(v19, v18) = v16)) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : ( ~ (k2_zfmisc_1(v16, v17) = v19) |  ~ m2_relset_1(v18, v16, v17) |  ? [v20] : (k1_zfmisc_1(v19) = v20 & m1_subset_1(v18, v20))) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : ( ~ (k1_zfmisc_1(v18) = v19) |  ~ v1_xboole_0(v18) |  ~ r2_hidden(v16, v17) |  ~ m1_subset_1(v17, v19)) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : ( ~ (k1_zfmisc_1(v18) = v19) |  ~ r2_hidden(v16, v17) |  ~ m1_subset_1(v17, v19) | m1_subset_1(v16, v18)) &  ? [v16] :  ! [v17] :  ! [v18] :  ! [v19] : ( ~ (k2_zfmisc_1(v17, v18) = v19) | v1_relat_1(v16) |  ? [v20] : (k1_zfmisc_1(v19) = v20 &  ~ m1_subset_1(v16, v20))) &  ! [v16] :  ! [v17] :  ! [v18] : (v17 = v16 |  ~ (k7_lopclset(v18) = v17) |  ~ (k7_lopclset(v18) = v16)) &  ! [v16] :  ! [v17] :  ! [v18] : (v17 = v16 |  ~ (k9_lopclset(v18) = v17) |  ~ (k9_lopclset(v18) = v16)) &  ! [v16] :  ! [v17] :  ! [v18] : (v17 = v16 |  ~ (k8_lopclset(v18) = v17) |  ~ (k8_lopclset(v18) = v16)) &  ! [v16] :  ! [v17] :  ! [v18] : (v17 = v16 |  ~ (a_1_1_lopclset(v18) = v17) |  ~ (a_1_1_lopclset(v18) = v16)) &  ! [v16] :  ! [v17] :  ! [v18] : (v17 = v16 |  ~ (u1_struct_0(v18) = v17) |  ~ (u1_struct_0(v18) = v16)) &  ! [v16] :  ! [v17] :  ! [v18] : (v17 = v16 |  ~ (k1_zfmisc_1(v18) = v17) |  ~ (k1_zfmisc_1(v18) = v16)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (a_1_1_lopclset(v17) = v18) |  ~ r2_hidden(v16, v18) |  ~ l3_lattices(v17) |  ~ v17_lattices(v17) |  ~ v10_lattices(v17) | v3_realset2(v17) | v3_struct_0(v17) | (v1_filter_0(v16, v17) & m1_filter_0(v16, v17))) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (a_1_1_lopclset(v17) = v18) |  ~ v1_filter_0(v16, v17) |  ~ m1_filter_0(v16, v17) |  ~ l3_lattices(v17) |  ~ v17_lattices(v17) |  ~ v10_lattices(v17) | r2_hidden(v16, v18) | v3_realset2(v17) | v3_struct_0(v17)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k2_zfmisc_1(v16, v17) = v18) |  ~ v1_finset_1(v17) |  ~ v1_finset_1(v16) | v1_finset_1(v18)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k1_zfmisc_1(v17) = v18) |  ~ r1_tarski(v16, v17) | m1_subset_1(v16, v18)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k1_zfmisc_1(v17) = v18) |  ~ m1_subset_1(v16, v18) | r1_tarski(v16, v17)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) |  ~ v1_finset_1(v16) |  ~ m1_subset_1(v18, v17) | v1_finset_1(v18)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) |  ~ v5_membered(v16) |  ~ m1_subset_1(v18, v17) | v5_membered(v18)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) |  ~ v5_membered(v16) |  ~ m1_subset_1(v18, v17) | v4_membered(v18)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) |  ~ v5_membered(v16) |  ~ m1_subset_1(v18, v17) | v3_membered(v18)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) |  ~ v5_membered(v16) |  ~ m1_subset_1(v18, v17) | v2_membered(v18)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) |  ~ v5_membered(v16) |  ~ m1_subset_1(v18, v17) | v1_membered(v18)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) |  ~ v4_membered(v16) |  ~ m1_subset_1(v18, v17) | v4_membered(v18)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) |  ~ v4_membered(v16) |  ~ m1_subset_1(v18, v17) | v3_membered(v18)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) |  ~ v4_membered(v16) |  ~ m1_subset_1(v18, v17) | v2_membered(v18)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) |  ~ v4_membered(v16) |  ~ m1_subset_1(v18, v17) | v1_membered(v18)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) |  ~ v3_membered(v16) |  ~ m1_subset_1(v18, v17) | v3_membered(v18)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) |  ~ v3_membered(v16) |  ~ m1_subset_1(v18, v17) | v2_membered(v18)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) |  ~ v3_membered(v16) |  ~ m1_subset_1(v18, v17) | v1_membered(v18)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) |  ~ v2_membered(v16) |  ~ m1_subset_1(v18, v17) | v2_membered(v18)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) |  ~ v2_membered(v16) |  ~ m1_subset_1(v18, v17) | v1_membered(v18)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k1_zfmisc_1(v16) = v17) |  ~ v1_membered(v16) |  ~ m1_subset_1(v18, v17) | v1_membered(v18)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ m2_relset_1(v18, v16, v17) | m1_relset_1(v18, v16, v17)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ v1_xboole_0(v18) |  ~ v1_funct_2(v18, v16, v17) |  ~ v1_funct_1(v18) |  ~ m1_relset_1(v18, v16, v17) | v1_xboole_0(v17) | v1_xboole_0(v16)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ v1_funct_2(v18, v16, v17) |  ~ v1_funct_1(v18) |  ~ m1_relset_1(v18, v16, v17) | v1_xboole_0(v17) | v1_xboole_0(v16) | v1_partfun1(v18, v16, v17)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ v1_funct_2(v18, v16, v17) |  ~ v1_funct_1(v18) |  ~ m1_relset_1(v18, v16, v17) | v1_xboole_0(v17) | v1_partfun1(v18, v16, v17)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ v1_partfun1(v18, v16, v17) |  ~ v1_funct_1(v18) |  ~ m1_relset_1(v18, v16, v17) | v1_funct_2(v18, v16, v17)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ m1_relset_1(v18, v16, v17) | m2_relset_1(v18, v16, v17)) &  ! [v16] :  ! [v17] : (v17 = v16 |  ~ v1_xboole_0(v17) |  ~ v1_xboole_0(v16)) &  ! [v16] :  ! [v17] : ( ~ (k7_lopclset(v16) = v17) |  ~ v1_xboole_0(v17) |  ~ l3_lattices(v16) |  ~ v17_lattices(v16) |  ~ v10_lattices(v16) | v3_realset2(v16) | v3_struct_0(v16)) &  ! [v16] :  ! [v17] : ( ~ (k7_lopclset(v16) = v17) |  ~ l3_lattices(v16) |  ~ v17_lattices(v16) |  ~ v10_lattices(v16) | a_1_1_lopclset(v16) = v17 | v3_realset2(v16) | v3_struct_0(v16)) &  ! [v16] :  ! [v17] : ( ~ (k7_lopclset(v16) = v17) |  ~ l3_lattices(v16) |  ~ v17_lattices(v16) |  ~ v10_lattices(v16) | v3_realset2(v16) | v3_struct_0(v16) |  ? [v18] :  ? [v19] :  ? [v20] : (k9_lopclset(v16) = v18 & u1_struct_0(v16) = v19 & k1_zfmisc_1(v17) = v20 & m2_relset_1(v18, v19, v20) & v1_funct_2(v18, v19, v20) & v1_funct_1(v18))) &  ! [v16] :  ! [v17] : ( ~ (k7_lopclset(v16) = v17) |  ~ l3_lattices(v16) |  ~ v17_lattices(v16) |  ~ v10_lattices(v16) | v3_realset2(v16) | v3_struct_0(v16) |  ? [v18] :  ? [v19] :  ? [v20] : (u1_struct_0(v16) = v18 & k1_zfmisc_1(v19) = v20 & k1_zfmisc_1(v18) = v19 & m1_subset_1(v17, v20))) &  ! [v16] :  ! [v17] : ( ~ (k9_lopclset(v16) = v17) |  ~ l3_lattices(v16) |  ~ v17_lattices(v16) |  ~ v10_lattices(v16) | k8_lopclset(v16) = v17 | v3_realset2(v16) | v3_struct_0(v16)) &  ! [v16] :  ! [v17] : ( ~ (k9_lopclset(v16) = v17) |  ~ l3_lattices(v16) |  ~ v17_lattices(v16) |  ~ v10_lattices(v16) | v1_funct_1(v17) | v3_realset2(v16) | v3_struct_0(v16)) &  ! [v16] :  ! [v17] : ( ~ (k9_lopclset(v16) = v17) |  ~ l3_lattices(v16) |  ~ v17_lattices(v16) |  ~ v10_lattices(v16) | v3_realset2(v16) | v3_struct_0(v16) |  ? [v18] :  ? [v19] :  ? [v20] : (k7_lopclset(v16) = v19 & u1_struct_0(v16) = v18 & k1_zfmisc_1(v19) = v20 & m2_relset_1(v17, v18, v20) & v1_funct_2(v17, v18, v20))) &  ! [v16] :  ! [v17] : ( ~ (k8_lopclset(v16) = v17) |  ~ l3_lattices(v16) |  ~ v17_lattices(v16) |  ~ v10_lattices(v16) | k9_lopclset(v16) = v17 | v3_realset2(v16) | v3_struct_0(v16)) &  ! [v16] :  ! [v17] : ( ~ (k8_lopclset(v16) = v17) |  ~ l3_lattices(v16) |  ~ v17_lattices(v16) |  ~ v10_lattices(v16) | v1_relat_1(v17) | v3_realset2(v16) | v3_struct_0(v16)) &  ! [v16] :  ! [v17] : ( ~ (k8_lopclset(v16) = v17) |  ~ l3_lattices(v16) |  ~ v17_lattices(v16) |  ~ v10_lattices(v16) | v1_funct_1(v17) | v3_realset2(v16) | v3_struct_0(v16)) &  ! [v16] :  ! [v17] : ( ~ (k8_lopclset(v16) = v17) |  ~ l3_lattices(v16) |  ~ v17_lattices(v16) |  ~ v10_lattices(v16) | v3_realset2(v16) | v3_struct_0(v16) |  ? [v18] : (u1_struct_0(v16) = v18 &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (k1_funct_1(v17, v19) = v20) |  ~ r2_hidden(v21, v20) |  ~ m1_filter_0(v21, v16) |  ~ m1_subset_1(v19, v18) | r2_hidden(v19, v21)) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (k1_funct_1(v17, v19) = v20) |  ~ r2_hidden(v21, v20) |  ~ m1_filter_0(v21, v16) |  ~ m1_subset_1(v19, v18) | v1_filter_0(v21, v16)) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (k1_funct_1(v17, v19) = v20) |  ~ r2_hidden(v19, v21) |  ~ v1_filter_0(v21, v16) |  ~ m1_filter_0(v21, v16) |  ~ m1_subset_1(v19, v18) | r2_hidden(v21, v20)))) &  ! [v16] :  ! [v17] : ( ~ (a_1_1_lopclset(v16) = v17) |  ~ l3_lattices(v16) |  ~ v17_lattices(v16) |  ~ v10_lattices(v16) | k7_lopclset(v16) = v17 | v3_realset2(v16) | v3_struct_0(v16)) &  ! [v16] :  ! [v17] : ( ~ (u1_struct_0(v16) = v17) |  ~ l1_struct_0(v16) |  ~ v1_xboole_0(v17) | v3_struct_0(v16)) &  ! [v16] :  ! [v17] : ( ~ (u1_struct_0(v16) = v17) |  ~ l1_struct_0(v16) | v3_struct_0(v16) |  ? [v18] :  ? [v19] : (k1_zfmisc_1(v17) = v18 & m1_subset_1(v19, v18) &  ~ v1_xboole_0(v19))) &  ! [v16] :  ! [v17] : ( ~ (u1_struct_0(v16) = v17) |  ~ l3_lattices(v16) |  ~ v17_lattices(v16) |  ~ v10_lattices(v16) | v3_realset2(v16) | v3_struct_0(v16) |  ? [v18] :  ? [v19] :  ? [v20] : (k7_lopclset(v16) = v19 & k9_lopclset(v16) = v18 & k1_zfmisc_1(v19) = v20 & m2_relset_1(v18, v17, v20) & v1_funct_2(v18, v17, v20) & v1_funct_1(v18))) &  ! [v16] :  ! [v17] : ( ~ (u1_struct_0(v16) = v17) |  ~ l3_lattices(v16) |  ~ v17_lattices(v16) |  ~ v10_lattices(v16) | v3_realset2(v16) | v3_struct_0(v16) |  ? [v18] :  ? [v19] :  ? [v20] : (k7_lopclset(v16) = v18 & k1_zfmisc_1(v19) = v20 & k1_zfmisc_1(v17) = v19 & m1_subset_1(v18, v20))) &  ! [v16] :  ! [v17] : ( ~ (u1_struct_0(v16) = v17) |  ~ l3_lattices(v16) |  ~ v17_lattices(v16) |  ~ v10_lattices(v16) | v3_realset2(v16) | v3_struct_0(v16) |  ? [v18] : (k8_lopclset(v16) = v18 &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (k1_funct_1(v18, v19) = v20) |  ~ r2_hidden(v21, v20) |  ~ m1_filter_0(v21, v16) |  ~ m1_subset_1(v19, v17) | r2_hidden(v19, v21)) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (k1_funct_1(v18, v19) = v20) |  ~ r2_hidden(v21, v20) |  ~ m1_filter_0(v21, v16) |  ~ m1_subset_1(v19, v17) | v1_filter_0(v21, v16)) &  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (k1_funct_1(v18, v19) = v20) |  ~ r2_hidden(v19, v21) |  ~ v1_filter_0(v21, v16) |  ~ m1_filter_0(v21, v16) |  ~ m1_subset_1(v19, v17) | r2_hidden(v21, v20)))) &  ! [v16] :  ! [v17] : ( ~ (u1_struct_0(v16) = v17) |  ~ l3_lattices(v16) |  ~ v10_lattices(v16) | v3_struct_0(v16) |  ? [v18] : (k1_zfmisc_1(v17) = v18 &  ! [v19] : ( ~ v1_xboole_0(v19) |  ~ m1_filter_0(v19, v16)) &  ! [v19] : ( ~ m1_filter_0(v19, v16) | m1_subset_1(v19, v18)))) &  ! [v16] :  ! [v17] : ( ~ (k1_zfmisc_1(v16) = v17) |  ~ v1_xboole_0(v17)) &  ! [v16] :  ! [v17] : ( ~ (k1_zfmisc_1(v16) = v17) | v3_finsub_1(v17)) &  ! [v16] :  ! [v17] : ( ~ (k1_zfmisc_1(v16) = v17) | v1_finsub_1(v17)) &  ! [v16] :  ! [v17] : ( ~ (k1_zfmisc_1(v16) = v17) | v4_finsub_1(v17)) &  ! [v16] :  ! [v17] : ( ~ (k1_zfmisc_1(v16) = v17) | v1_xboole_0(v16) |  ? [v18] : (v1_finset_1(v18) & m1_subset_1(v18, v17) &  ~ v1_xboole_0(v18))) &  ! [v16] :  ! [v17] : ( ~ v1_xboole_0(v17) |  ~ r2_hidden(v16, v17)) &  ! [v16] :  ! [v17] : ( ~ v5_membered(v16) |  ~ m1_subset_1(v17, v16) | v4_ordinal2(v17)) &  ! [v16] :  ! [v17] : ( ~ v5_membered(v16) |  ~ m1_subset_1(v17, v16) | v1_int_1(v17)) &  ! [v16] :  ! [v17] : ( ~ v5_membered(v16) |  ~ m1_subset_1(v17, v16) | v1_rat_1(v17)) &  ! [v16] :  ! [v17] : ( ~ v5_membered(v16) |  ~ m1_subset_1(v17, v16) | v1_xreal_0(v17)) &  ! [v16] :  ! [v17] : ( ~ v5_membered(v16) |  ~ m1_subset_1(v17, v16) | v1_xcmplx_0(v17)) &  ! [v16] :  ! [v17] : ( ~ v4_membered(v16) |  ~ m1_subset_1(v17, v16) | v1_int_1(v17)) &  ! [v16] :  ! [v17] : ( ~ v4_membered(v16) |  ~ m1_subset_1(v17, v16) | v1_rat_1(v17)) &  ! [v16] :  ! [v17] : ( ~ v4_membered(v16) |  ~ m1_subset_1(v17, v16) | v1_xreal_0(v17)) &  ! [v16] :  ! [v17] : ( ~ v4_membered(v16) |  ~ m1_subset_1(v17, v16) | v1_xcmplx_0(v17)) &  ! [v16] :  ! [v17] : ( ~ v3_membered(v16) |  ~ m1_subset_1(v17, v16) | v1_rat_1(v17)) &  ! [v16] :  ! [v17] : ( ~ v3_membered(v16) |  ~ m1_subset_1(v17, v16) | v1_xreal_0(v17)) &  ! [v16] :  ! [v17] : ( ~ v3_membered(v16) |  ~ m1_subset_1(v17, v16) | v1_xcmplx_0(v17)) &  ! [v16] :  ! [v17] : ( ~ v2_membered(v16) |  ~ m1_subset_1(v17, v16) | v1_xreal_0(v17)) &  ! [v16] :  ! [v17] : ( ~ v2_membered(v16) |  ~ m1_subset_1(v17, v16) | v1_xcmplx_0(v17)) &  ! [v16] :  ! [v17] : ( ~ v1_membered(v16) |  ~ m1_subset_1(v17, v16) | v1_xcmplx_0(v17)) &  ! [v16] :  ! [v17] : ( ~ r2_hidden(v17, v16) |  ~ r2_hidden(v16, v17)) &  ! [v16] :  ! [v17] : ( ~ r2_hidden(v16, v17) | m1_subset_1(v16, v17)) &  ! [v16] :  ! [v17] : ( ~ m1_subset_1(v16, v17) | v1_xboole_0(v17) | r2_hidden(v16, v17)) &  ! [v16] : (v16 = k1_xboole_0 |  ~ v1_xboole_0(v16)) &  ! [v16] : ( ~ v3_finsub_1(v16) |  ~ v1_finsub_1(v16) | v4_finsub_1(v16)) &  ! [v16] : ( ~ v4_finsub_1(v16) | v3_finsub_1(v16)) &  ! [v16] : ( ~ v4_finsub_1(v16) | v1_finsub_1(v16)) &  ! [v16] : ( ~ l2_lattices(v16) | l1_struct_0(v16)) &  ! [v16] : ( ~ l1_lattices(v16) | l1_struct_0(v16)) &  ! [v16] : ( ~ v16_lattices(v16) |  ~ v15_lattices(v16) |  ~ v11_lattices(v16) |  ~ l3_lattices(v16) | v17_lattices(v16) | v3_struct_0(v16)) &  ! [v16] : ( ~ v15_lattices(v16) |  ~ l3_lattices(v16) | v14_lattices(v16) | v3_struct_0(v16)) &  ! [v16] : ( ~ v15_lattices(v16) |  ~ l3_lattices(v16) | v13_lattices(v16) | v3_struct_0(v16)) &  ! [v16] : ( ~ v14_lattices(v16) |  ~ v13_lattices(v16) |  ~ l3_lattices(v16) | v15_lattices(v16) | v3_struct_0(v16)) &  ! [v16] : ( ~ v11_lattices(v16) |  ~ l3_lattices(v16) |  ~ v10_lattices(v16) | v12_lattices(v16) | v3_struct_0(v16)) &  ! [v16] : ( ~ v11_lattices(v16) |  ~ l3_lattices(v16) |  ~ v10_lattices(v16) | v9_lattices(v16) | v3_struct_0(v16)) &  ! [v16] : ( ~ v11_lattices(v16) |  ~ l3_lattices(v16) |  ~ v10_lattices(v16) | v8_lattices(v16) | v3_struct_0(v16)) &  ! [v16] : ( ~ v11_lattices(v16) |  ~ l3_lattices(v16) |  ~ v10_lattices(v16) | v7_lattices(v16) | v3_struct_0(v16)) &  ! [v16] : ( ~ v11_lattices(v16) |  ~ l3_lattices(v16) |  ~ v10_lattices(v16) | v6_lattices(v16) | v3_struct_0(v16)) &  ! [v16] : ( ~ v11_lattices(v16) |  ~ l3_lattices(v16) |  ~ v10_lattices(v16) | v5_lattices(v16) | v3_struct_0(v16)) &  ! [v16] : ( ~ v11_lattices(v16) |  ~ l3_lattices(v16) |  ~ v10_lattices(v16) | v4_lattices(v16) | v3_struct_0(v16)) &  ! [v16] : ( ~ v9_lattices(v16) |  ~ v8_lattices(v16) |  ~ v7_lattices(v16) |  ~ v6_lattices(v16) |  ~ v5_lattices(v16) |  ~ v4_lattices(v16) |  ~ l3_lattices(v16) | v10_lattices(v16) | v3_struct_0(v16)) &  ! [v16] : ( ~ v1_xboole_0(v16) | v1_finset_1(v16)) &  ! [v16] : ( ~ v1_xboole_0(v16) | v5_membered(v16)) &  ! [v16] : ( ~ v1_xboole_0(v16) | v4_membered(v16)) &  ! [v16] : ( ~ v1_xboole_0(v16) | v3_membered(v16)) &  ! [v16] : ( ~ v1_xboole_0(v16) | v2_membered(v16)) &  ! [v16] : ( ~ v1_xboole_0(v16) | v1_membered(v16)) &  ! [v16] : ( ~ v5_membered(v16) | v4_membered(v16)) &  ! [v16] : ( ~ v4_membered(v16) | v3_membered(v16)) &  ! [v16] : ( ~ v3_membered(v16) | v2_membered(v16)) &  ! [v16] : ( ~ v2_membered(v16) | v1_membered(v16)) &  ! [v16] : ( ~ l3_lattices(v16) |  ~ v17_lattices(v16) | v16_lattices(v16) | v3_struct_0(v16)) &  ! [v16] : ( ~ l3_lattices(v16) |  ~ v17_lattices(v16) | v15_lattices(v16) | v3_struct_0(v16)) &  ! [v16] : ( ~ l3_lattices(v16) |  ~ v17_lattices(v16) | v14_lattices(v16) | v3_struct_0(v16)) &  ! [v16] : ( ~ l3_lattices(v16) |  ~ v17_lattices(v16) | v13_lattices(v16) | v3_struct_0(v16)) &  ! [v16] : ( ~ l3_lattices(v16) |  ~ v17_lattices(v16) | v11_lattices(v16) | v3_struct_0(v16)) &  ! [v16] : ( ~ l3_lattices(v16) |  ~ v10_lattices(v16) | v9_lattices(v16) | v3_struct_0(v16)) &  ! [v16] : ( ~ l3_lattices(v16) |  ~ v10_lattices(v16) | v8_lattices(v16) | v3_struct_0(v16)) &  ! [v16] : ( ~ l3_lattices(v16) |  ~ v10_lattices(v16) | v7_lattices(v16) | v3_struct_0(v16)) &  ! [v16] : ( ~ l3_lattices(v16) |  ~ v10_lattices(v16) | v6_lattices(v16) | v3_struct_0(v16)) &  ! [v16] : ( ~ l3_lattices(v16) |  ~ v10_lattices(v16) | v5_lattices(v16) | v3_struct_0(v16)) &  ! [v16] : ( ~ l3_lattices(v16) |  ~ v10_lattices(v16) | v4_lattices(v16) | v3_struct_0(v16)) &  ! [v16] : ( ~ l3_lattices(v16) |  ~ v10_lattices(v16) | v3_struct_0(v16) |  ? [v17] : m1_filter_0(v17, v16)) &  ! [v16] : ( ~ l3_lattices(v16) | l2_lattices(v16)) &  ! [v16] : ( ~ l3_lattices(v16) | l1_lattices(v16)) &  ? [v16] :  ? [v17] :  ? [v18] : m2_relset_1(v18, v16, v17) &  ? [v16] :  ? [v17] :  ? [v18] : m1_relset_1(v18, v16, v17) &  ? [v16] :  ? [v17] :  ? [v18] : (v1_relat_1(v18) & v1_funct_2(v18, v16, v17) & v1_funct_1(v18) & m1_relset_1(v18, v16, v17)) &  ? [v16] :  ? [v17] :  ? [v18] : (v1_relat_1(v18) & v1_funct_1(v18) & m1_relset_1(v18, v16, v17)) &  ? [v16] :  ? [v17] : (v17 = v16 |  ? [v18] : (( ~ r2_hidden(v18, v17) |  ~ r2_hidden(v18, v16)) & (r2_hidden(v18, v17) | r2_hidden(v18, v16)))) &  ? [v16] :  ? [v17] : m1_subset_1(v17, v16) &  ? [v16] : r1_tarski(v16, v16))
% 8.53/2.59  | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15 yields:
% 8.53/2.59  | (1) k7_lopclset(all_0_15_15) = all_0_13_13 & k9_lopclset(all_0_15_15) = all_0_11_11 & k8_funct_2(all_0_14_14, all_0_12_12, all_0_11_11, all_0_10_10) = all_0_9_9 & u1_struct_0(all_0_15_15) = all_0_14_14 & k1_zfmisc_1(all_0_13_13) = all_0_12_12 & l2_lattices(all_0_5_5) & l1_struct_0(all_0_4_4) & l1_struct_0(all_0_6_6) & l1_lattices(all_0_3_3) & v16_lattices(all_0_1_1) & v15_lattices(all_0_1_1) & v14_lattices(all_0_1_1) & v13_lattices(all_0_1_1) & v12_lattices(all_0_1_1) & v11_lattices(all_0_1_1) & v9_lattices(all_0_1_1) & v8_lattices(all_0_1_1) & v7_lattices(all_0_1_1) & v6_lattices(all_0_1_1) & v5_lattices(all_0_1_1) & v4_lattices(all_0_1_1) & v1_xboole_0(k1_xboole_0) & v1_finset_1(all_0_0_0) & v5_membered(all_0_2_2) & v5_membered(k1_xboole_0) & v4_membered(all_0_2_2) & v4_membered(k1_xboole_0) & v3_membered(all_0_2_2) & v3_membered(k1_xboole_0) & v2_membered(all_0_2_2) & v2_membered(k1_xboole_0) & v1_membered(all_0_2_2) & v1_membered(k1_xboole_0) & r2_hidden(all_0_10_10, all_0_8_8) & v1_filter_0(all_0_8_8, all_0_15_15) & m1_filter_0(all_0_8_8, all_0_15_15) & m1_subset_1(all_0_10_10, all_0_14_14) & l3_lattices(all_0_1_1) & l3_lattices(all_0_7_7) & l3_lattices(all_0_15_15) & v17_lattices(all_0_1_1) & v17_lattices(all_0_15_15) & v10_lattices(all_0_1_1) & v10_lattices(all_0_15_15) &  ~ v1_xboole_0(all_0_0_0) &  ~ v1_xboole_0(all_0_2_2) &  ~ r2_hidden(all_0_8_8, all_0_9_9) &  ~ v3_realset2(all_0_1_1) &  ~ v3_realset2(all_0_15_15) &  ~ v3_struct_0(all_0_1_1) &  ~ v3_struct_0(all_0_6_6) &  ~ v3_struct_0(all_0_15_15) &  ! [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 |  ~ (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) |  ~ r2_hidden(v0, v1) |  ~ m1_subset_1(v1, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) |  ~ r2_hidden(v0, v1) |  ~ m1_subset_1(v1, v3) | 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 |  ~ (k7_lopclset(v2) = v1) |  ~ (k7_lopclset(v2) = v0)) &  ! [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 |  ~ (a_1_1_lopclset(v2) = v1) |  ~ (a_1_1_lopclset(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (u1_struct_0(v2) = v1) |  ~ (u1_struct_0(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k1_zfmisc_1(v2) = v1) |  ~ (k1_zfmisc_1(v2) = v0)) &  ! [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] : ( ~ (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] : ( ~ (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) |  ~ v1_membered(v0) |  ~ m1_subset_1(v2, v1) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ v1_xboole_0(v2) |  ~ v1_funct_2(v2, v0, v1) |  ~ v1_funct_1(v2) |  ~ m1_relset_1(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_xboole_0(v1) | v1_xboole_0(v0) | v1_partfun1(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(v1) | v1_partfun1(v2, v0, 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 |  ~ v1_xboole_0(v1) |  ~ v1_xboole_0(v0)) &  ! [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) = 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] : ( ~ (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] : (k7_lopclset(v0) = v3 & u1_struct_0(v0) = v2 & k1_zfmisc_1(v3) = v4 & m2_relset_1(v1, v2, v4) & v1_funct_2(v1, v2, v4))) &  ! [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] : ( ~ (k8_lopclset(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) |  ? [v2] : (u1_struct_0(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k1_funct_1(v1, v3) = v4) |  ~ r2_hidden(v5, v4) |  ~ m1_filter_0(v5, v0) |  ~ m1_subset_1(v3, v2) | r2_hidden(v3, v5)) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k1_funct_1(v1, v3) = v4) |  ~ r2_hidden(v5, v4) |  ~ m1_filter_0(v5, v0) |  ~ m1_subset_1(v3, v2) | v1_filter_0(v5, v0)) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k1_funct_1(v1, v3) = v4) |  ~ r2_hidden(v3, v5) |  ~ v1_filter_0(v5, v0) |  ~ m1_filter_0(v5, v0) |  ~ m1_subset_1(v3, v2) | r2_hidden(v5, 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] : ( ~ (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) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) |  ? [v2] :  ? [v3] :  ? [v4] : (k7_lopclset(v0) = v3 & k9_lopclset(v0) = v2 & 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) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) |  ? [v2] : (k8_lopclset(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k1_funct_1(v2, v3) = v4) |  ~ r2_hidden(v5, v4) |  ~ m1_filter_0(v5, v0) |  ~ m1_subset_1(v3, v1) | r2_hidden(v3, v5)) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k1_funct_1(v2, v3) = v4) |  ~ r2_hidden(v5, v4) |  ~ m1_filter_0(v5, v0) |  ~ m1_subset_1(v3, v1) | v1_filter_0(v5, v0)) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k1_funct_1(v2, v3) = v4) |  ~ r2_hidden(v3, v5) |  ~ v1_filter_0(v5, v0) |  ~ m1_filter_0(v5, v0) |  ~ m1_subset_1(v3, v1) | r2_hidden(v5, 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] : ( ~ v1_xboole_0(v3) |  ~ m1_filter_0(v3, v0)) &  ! [v3] : ( ~ m1_filter_0(v3, v0) | m1_subset_1(v3, v2)))) &  ! [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] : ( ~ v1_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) &  ! [v0] :  ! [v1] : ( ~ r2_hidden(v1, v0) |  ~ r2_hidden(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1)) &  ! [v0] : (v0 = k1_xboole_0 |  ~ v1_xboole_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] : ( ~ l2_lattices(v0) | l1_struct_0(v0)) &  ! [v0] : ( ~ l1_lattices(v0) | l1_struct_0(v0)) &  ! [v0] : ( ~ v16_lattices(v0) |  ~ v15_lattices(v0) |  ~ v11_lattices(v0) |  ~ l3_lattices(v0) | v17_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] : ( ~ 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] : ( ~ 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] : ( ~ 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) | 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) |  ~ v17_lattices(v0) | v11_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)
% 8.97/2.61  |
% 8.97/2.61  | Applying alpha-rule on (1) yields:
% 8.97/2.61  | (2)  ! [v0] :  ! [v1] : ( ~ v1_xboole_0(v1) |  ~ r2_hidden(v0, v1))
% 8.97/2.61  | (3) l3_lattices(all_0_1_1)
% 8.97/2.61  | (4)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v3_membered(v0) |  ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 8.97/2.61  | (5)  ? [v0] :  ? [v1] :  ? [v2] : (v1_relat_1(v2) & v1_funct_1(v2) & m1_relset_1(v2, v0, v1))
% 8.97/2.61  | (6)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k7_lopclset(v2) = v1) |  ~ (k7_lopclset(v2) = v0))
% 8.97/2.61  | (7)  ! [v0] : ( ~ v11_lattices(v0) |  ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v5_lattices(v0) | v3_struct_0(v0))
% 8.97/2.61  | (8) v4_lattices(all_0_1_1)
% 8.97/2.61  | (9)  ! [v0] :  ! [v1] : ( ~ v2_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 8.97/2.61  | (10)  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v1_xboole_0(v1))
% 8.97/2.61  | (11)  ~ r2_hidden(all_0_8_8, all_0_9_9)
% 8.97/2.62  | (12)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_struct_0(v0) |  ~ v1_xboole_0(v1) | v3_struct_0(v0))
% 8.97/2.62  | (13) v2_membered(all_0_2_2)
% 8.97/2.62  | (14)  ! [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))
% 8.97/2.62  | (15)  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v4_finsub_1(v1))
% 8.97/2.62  | (16)  ! [v0] : ( ~ v15_lattices(v0) |  ~ l3_lattices(v0) | v14_lattices(v0) | v3_struct_0(v0))
% 8.97/2.62  | (17)  ! [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))
% 8.97/2.62  | (18)  ! [v0] : ( ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v3_struct_0(v0) |  ? [v1] : m1_filter_0(v1, v0))
% 8.97/2.62  | (19) v4_membered(all_0_2_2)
% 8.97/2.62  | (20)  ! [v0] : ( ~ v15_lattices(v0) |  ~ l3_lattices(v0) | v13_lattices(v0) | v3_struct_0(v0))
% 8.97/2.62  | (21)  ! [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))
% 8.97/2.62  | (22)  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v3_finsub_1(v1))
% 8.97/2.62  | (23) v4_membered(k1_xboole_0)
% 8.97/2.62  | (24)  ! [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))
% 8.97/2.62  | (25) v9_lattices(all_0_1_1)
% 8.97/2.62  | (26)  ! [v0] : ( ~ v4_membered(v0) | v3_membered(v0))
% 8.97/2.62  | (27)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v4_membered(v0) |  ~ m1_subset_1(v2, v1) | v3_membered(v2))
% 8.97/2.62  | (28)  ! [v0] : ( ~ v11_lattices(v0) |  ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v12_lattices(v0) | v3_struct_0(v0))
% 8.97/2.62  | (29)  ! [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))
% 8.97/2.62  | (30)  ? [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)))
% 8.97/2.62  | (31)  ! [v0] :  ! [v1] : ( ~ v4_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_int_1(v1))
% 8.97/2.62  | (32) v2_membered(k1_xboole_0)
% 8.97/2.62  | (33) l3_lattices(all_0_7_7)
% 8.97/2.62  | (34)  ! [v0] : ( ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v7_lattices(v0) | v3_struct_0(v0))
% 8.97/2.62  | (35)  ! [v0] :  ! [v1] : ( ~ v4_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_rat_1(v1))
% 8.97/2.62  | (36) v10_lattices(all_0_1_1)
% 8.97/2.62  | (37) v5_membered(all_0_2_2)
% 8.97/2.62  | (38) v7_lattices(all_0_1_1)
% 8.97/2.62  | (39)  ~ v1_xboole_0(all_0_2_2)
% 8.97/2.62  | (40) l3_lattices(all_0_15_15)
% 8.97/2.62  | (41)  ? [v0] :  ? [v1] :  ? [v2] : (v1_relat_1(v2) & v1_funct_2(v2, v0, v1) & v1_funct_1(v2) & m1_relset_1(v2, v0, v1))
% 8.97/2.62  | (42)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_zfmisc_1(v0, v1) = v2) |  ~ v1_finset_1(v1) |  ~ v1_finset_1(v0) | v1_finset_1(v2))
% 8.97/2.62  | (43)  ! [v0] :  ! [v1] : ( ~ v4_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xreal_0(v1))
% 8.97/2.62  | (44)  ! [v0] : ( ~ l3_lattices(v0) |  ~ v17_lattices(v0) | v16_lattices(v0) | v3_struct_0(v0))
% 8.97/2.62  | (45)  ! [v0] : ( ~ l3_lattices(v0) |  ~ v17_lattices(v0) | v13_lattices(v0) | v3_struct_0(v0))
% 8.97/2.62  | (46)  ! [v0] : ( ~ v3_finsub_1(v0) |  ~ v1_finsub_1(v0) | v4_finsub_1(v0))
% 8.97/2.63  | (47) u1_struct_0(all_0_15_15) = all_0_14_14
% 8.97/2.63  | (48)  ! [v0] : ( ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v9_lattices(v0) | v3_struct_0(v0))
% 8.97/2.63  | (49)  ! [v0] : ( ~ v11_lattices(v0) |  ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v4_lattices(v0) | v3_struct_0(v0))
% 8.97/2.63  | (50)  ! [v0] :  ! [v1] : ( ~ v3_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xreal_0(v1))
% 8.97/2.63  | (51)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v4_membered(v0) |  ~ m1_subset_1(v2, v1) | v4_membered(v2))
% 8.97/2.63  | (52)  ! [v0] : ( ~ l3_lattices(v0) |  ~ v17_lattices(v0) | v14_lattices(v0) | v3_struct_0(v0))
% 8.97/2.63  | (53)  ! [v0] :  ! [v1] : ( ~ r2_hidden(v1, v0) |  ~ r2_hidden(v0, v1))
% 8.97/2.63  | (54)  ! [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))
% 8.97/2.63  | (55)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v2_membered(v0) |  ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 8.97/2.63  | (56)  ! [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] : (k7_lopclset(v0) = v3 & u1_struct_0(v0) = v2 & k1_zfmisc_1(v3) = v4 & m2_relset_1(v1, v2, v4) & v1_funct_2(v1, v2, v4)))
% 8.97/2.63  | (57)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v5_membered(v0) |  ~ m1_subset_1(v2, v1) | v3_membered(v2))
% 8.97/2.63  | (58)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k9_lopclset(v2) = v1) |  ~ (k9_lopclset(v2) = v0))
% 8.97/2.63  | (59)  ! [v0] : ( ~ v14_lattices(v0) |  ~ v13_lattices(v0) |  ~ l3_lattices(v0) | v15_lattices(v0) | v3_struct_0(v0))
% 8.97/2.63  | (60)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v4_membered(v0) |  ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 8.97/2.63  | (61) l1_struct_0(all_0_4_4)
% 8.97/2.63  | (62)  ! [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)))
% 8.97/2.63  | (63)  ! [v0] : ( ~ l3_lattices(v0) |  ~ v17_lattices(v0) | v11_lattices(v0) | v3_struct_0(v0))
% 8.97/2.63  | (64)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ v1_funct_2(v2, v0, v1) |  ~ v1_funct_1(v2) |  ~ m1_relset_1(v2, v0, v1) | v1_xboole_0(v1) | v1_partfun1(v2, v0, v1))
% 8.97/2.63  | (65) k9_lopclset(all_0_15_15) = all_0_11_11
% 8.97/2.63  | (66)  ? [v0] :  ? [v1] :  ? [v2] : m2_relset_1(v2, v0, v1)
% 8.97/2.63  | (67)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) |  ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1))
% 8.97/2.63  | (68)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) |  ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2))
% 8.97/2.63  | (69) r2_hidden(all_0_10_10, all_0_8_8)
% 8.97/2.63  | (70)  ! [v0] : ( ~ l3_lattices(v0) |  ~ v17_lattices(v0) | v15_lattices(v0) | v3_struct_0(v0))
% 8.97/2.63  | (71)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) |  ~ r2_hidden(v0, v1) |  ~ m1_subset_1(v1, v3) | m1_subset_1(v0, v2))
% 8.97/2.63  | (72) l1_struct_0(all_0_6_6)
% 8.97/2.63  | (73)  ! [v0] :  ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1))
% 8.97/2.63  | (74) v13_lattices(all_0_1_1)
% 8.97/2.63  | (75)  ! [v0] : ( ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v6_lattices(v0) | v3_struct_0(v0))
% 8.97/2.63  | (76) l1_lattices(all_0_3_3)
% 8.97/2.63  | (77)  ! [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)))
% 8.97/2.63  | (78)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v3_membered(v0) |  ~ m1_subset_1(v2, v1) | v3_membered(v2))
% 8.97/2.63  | (79)  ! [v0] :  ! [v1] : ( ~ v3_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_rat_1(v1))
% 8.97/2.63  | (80) k8_funct_2(all_0_14_14, all_0_12_12, all_0_11_11, all_0_10_10) = all_0_9_9
% 8.97/2.63  | (81)  ! [v0] : ( ~ v1_xboole_0(v0) | v1_finset_1(v0))
% 8.97/2.63  | (82)  ! [v0] : ( ~ v1_xboole_0(v0) | v3_membered(v0))
% 8.97/2.63  | (83)  ! [v0] : ( ~ l3_lattices(v0) | l2_lattices(v0))
% 8.97/2.63  | (84)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (a_1_1_lopclset(v2) = v1) |  ~ (a_1_1_lopclset(v2) = v0))
% 8.97/2.63  | (85) v5_membered(k1_xboole_0)
% 8.97/2.63  | (86)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v5_membered(v0) |  ~ m1_subset_1(v2, v1) | v2_membered(v2))
% 8.97/2.63  | (87)  ? [v0] :  ? [v1] : (v1 = v0 |  ? [v2] : (( ~ r2_hidden(v2, v1) |  ~ r2_hidden(v2, v0)) & (r2_hidden(v2, v1) | r2_hidden(v2, v0))))
% 8.97/2.63  | (88)  ! [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)))
% 8.97/2.63  | (89)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k8_lopclset(v2) = v1) |  ~ (k8_lopclset(v2) = v0))
% 8.97/2.63  | (90)  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 8.97/2.63  | (91) m1_subset_1(all_0_10_10, all_0_14_14)
% 8.97/2.63  | (92)  ! [v0] :  ! [v1] : ( ~ v4_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 8.97/2.63  | (93)  ! [v0] :  ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1))
% 8.97/2.64  | (94)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k1_zfmisc_1(v2) = v1) |  ~ (k1_zfmisc_1(v2) = v0))
% 8.97/2.64  | (95)  ! [v0] : ( ~ v1_xboole_0(v0) | v4_membered(v0))
% 8.97/2.64  | (96)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k1_funct_1(v3, v2) = v1) |  ~ (k1_funct_1(v3, v2) = v0))
% 8.97/2.64  | (97) v1_xboole_0(k1_xboole_0)
% 8.97/2.64  | (98) k1_zfmisc_1(all_0_13_13) = all_0_12_12
% 8.97/2.64  | (99)  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_finsub_1(v1))
% 8.97/2.64  | (100) v3_membered(k1_xboole_0)
% 8.97/2.64  | (101)  ! [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))
% 8.97/2.64  | (102)  ! [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))
% 8.97/2.64  | (103)  ! [v0] : (v0 = k1_xboole_0 |  ~ v1_xboole_0(v0))
% 8.97/2.64  | (104)  ! [v0] : ( ~ v11_lattices(v0) |  ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v6_lattices(v0) | v3_struct_0(v0))
% 8.97/2.64  | (105)  ! [v0] : ( ~ v16_lattices(v0) |  ~ v15_lattices(v0) |  ~ v11_lattices(v0) |  ~ l3_lattices(v0) | v17_lattices(v0) | v3_struct_0(v0))
% 8.97/2.64  | (106)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ v1_funct_2(v2, v0, v1) |  ~ v1_funct_1(v2) |  ~ m1_relset_1(v2, v0, v1) | v1_xboole_0(v1) | v1_xboole_0(v0) | v1_partfun1(v2, v0, v1))
% 8.97/2.64  | (107)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) |  ? [v2] : (k8_lopclset(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k1_funct_1(v2, v3) = v4) |  ~ r2_hidden(v5, v4) |  ~ m1_filter_0(v5, v0) |  ~ m1_subset_1(v3, v1) | r2_hidden(v3, v5)) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k1_funct_1(v2, v3) = v4) |  ~ r2_hidden(v5, v4) |  ~ m1_filter_0(v5, v0) |  ~ m1_subset_1(v3, v1) | v1_filter_0(v5, v0)) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k1_funct_1(v2, v3) = v4) |  ~ r2_hidden(v3, v5) |  ~ v1_filter_0(v5, v0) |  ~ m1_filter_0(v5, v0) |  ~ m1_subset_1(v3, v1) | r2_hidden(v5, v4))))
% 8.97/2.64  | (108) v12_lattices(all_0_1_1)
% 8.97/2.64  | (109)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v5_membered(v0) |  ~ m1_subset_1(v2, v1) | v4_membered(v2))
% 8.97/2.64  | (110) v14_lattices(all_0_1_1)
% 8.97/2.64  | (111)  ! [v0] : ( ~ l2_lattices(v0) | l1_struct_0(v0))
% 8.97/2.64  | (112)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v5_membered(v0) |  ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 8.97/2.64  | (113)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (u1_struct_0(v2) = v1) |  ~ (u1_struct_0(v2) = v0))
% 8.97/2.64  | (114)  ~ v3_realset2(all_0_1_1)
% 8.97/2.64  | (115) v10_lattices(all_0_15_15)
% 8.97/2.64  | (116)  ! [v0] : ( ~ v1_xboole_0(v0) | v2_membered(v0))
% 8.97/2.64  | (117)  ! [v0] : ( ~ v4_finsub_1(v0) | v3_finsub_1(v0))
% 8.97/2.64  | (118)  ! [v0] : ( ~ v1_xboole_0(v0) | v5_membered(v0))
% 8.97/2.64  | (119)  ! [v0] : ( ~ v3_membered(v0) | v2_membered(v0))
% 8.97/2.64  | (120)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v3_struct_0(v0) |  ? [v2] : (k1_zfmisc_1(v1) = v2 &  ! [v3] : ( ~ v1_xboole_0(v3) |  ~ m1_filter_0(v3, v0)) &  ! [v3] : ( ~ m1_filter_0(v3, v0) | m1_subset_1(v3, v2))))
% 8.97/2.64  | (121)  ? [v0] :  ? [v1] : m1_subset_1(v1, v0)
% 8.97/2.64  | (122)  ! [v0] : ( ~ v1_xboole_0(v0) | v1_membered(v0))
% 8.97/2.64  | (123)  ! [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))
% 8.97/2.64  | (124) l2_lattices(all_0_5_5)
% 8.97/2.64  | (125)  ! [v0] : ( ~ l3_lattices(v0) | l1_lattices(v0))
% 8.97/2.64  | (126)  ~ v3_struct_0(all_0_6_6)
% 8.97/2.64  | (127)  ! [v0] : ( ~ v11_lattices(v0) |  ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v8_lattices(v0) | v3_struct_0(v0))
% 8.97/2.64  | (128) m1_filter_0(all_0_8_8, all_0_15_15)
% 8.97/2.64  | (129)  ! [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)))
% 8.97/2.64  | (130)  ~ v3_struct_0(all_0_1_1)
% 8.97/2.64  | (131)  ! [v0] : ( ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v5_lattices(v0) | v3_struct_0(v0))
% 8.97/2.64  | (132)  ! [v0] :  ! [v1] : ( ~ v1_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 8.97/2.64  | (133)  ! [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) = v3 & k9_lopclset(v0) = v2 & k1_zfmisc_1(v3) = v4 & m2_relset_1(v2, v1, v4) & v1_funct_2(v2, v1, v4) & v1_funct_1(v2)))
% 8.97/2.64  | (134) k7_lopclset(all_0_15_15) = all_0_13_13
% 8.97/2.64  | (135)  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xreal_0(v1))
% 8.97/2.64  | (136)  ? [v0] : r1_tarski(v0, v0)
% 8.97/2.64  | (137)  ! [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))
% 8.97/2.64  | (138)  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_int_1(v1))
% 8.97/2.64  | (139)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v2_membered(v0) |  ~ m1_subset_1(v2, v1) | v2_membered(v2))
% 8.97/2.64  | (140)  ~ v3_realset2(all_0_15_15)
% 8.97/2.64  | (141) v1_finset_1(all_0_0_0)
% 8.97/2.64  | (142) v15_lattices(all_0_1_1)
% 8.97/2.64  | (143)  ! [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))
% 8.97/2.64  | (144) v8_lattices(all_0_1_1)
% 8.97/2.64  | (145)  ! [v0] :  ! [v1] : ( ~ (k8_lopclset(v0) = v1) |  ~ l3_lattices(v0) |  ~ v17_lattices(v0) |  ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) |  ? [v2] : (u1_struct_0(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k1_funct_1(v1, v3) = v4) |  ~ r2_hidden(v5, v4) |  ~ m1_filter_0(v5, v0) |  ~ m1_subset_1(v3, v2) | r2_hidden(v3, v5)) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k1_funct_1(v1, v3) = v4) |  ~ r2_hidden(v5, v4) |  ~ m1_filter_0(v5, v0) |  ~ m1_subset_1(v3, v2) | v1_filter_0(v5, v0)) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k1_funct_1(v1, v3) = v4) |  ~ r2_hidden(v3, v5) |  ~ v1_filter_0(v5, v0) |  ~ m1_filter_0(v5, v0) |  ~ m1_subset_1(v3, v2) | r2_hidden(v5, v4))))
% 8.97/2.64  | (146)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1))
% 8.97/2.64  | (147)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1))
% 8.97/2.64  | (148)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v1_finset_1(v0) |  ~ m1_subset_1(v2, v1) | v1_finset_1(v2))
% 8.97/2.64  | (149) v3_membered(all_0_2_2)
% 8.97/2.64  | (150)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ v1_partfun1(v2, v0, v1) |  ~ v1_funct_1(v2) |  ~ m1_relset_1(v2, v0, v1) | v1_funct_2(v2, v0, v1))
% 8.97/2.64  | (151)  ! [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)))
% 8.97/2.64  | (152) v1_membered(k1_xboole_0)
% 8.97/2.64  | (153)  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ m1_subset_1(v1, v0) | v4_ordinal2(v1))
% 8.97/2.64  | (154)  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_rat_1(v1))
% 8.97/2.64  | (155) v16_lattices(all_0_1_1)
% 8.97/2.64  | (156) v5_lattices(all_0_1_1)
% 8.97/2.64  | (157) v1_membered(all_0_2_2)
% 8.97/2.65  | (158)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) |  ~ v1_xboole_0(v2) |  ~ r2_hidden(v0, v1) |  ~ m1_subset_1(v1, v3))
% 8.97/2.65  | (159)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ v1_xboole_0(v2) |  ~ v1_funct_2(v2, v0, v1) |  ~ v1_funct_1(v2) |  ~ m1_relset_1(v2, v0, v1) | v1_xboole_0(v1) | v1_xboole_0(v0))
% 8.97/2.65  | (160)  ! [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)))
% 8.97/2.65  | (161)  ! [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)))
% 8.97/2.65  | (162)  ? [v0] :  ? [v1] :  ? [v2] : m1_relset_1(v2, v0, v1)
% 8.97/2.65  | (163) v11_lattices(all_0_1_1)
% 8.97/2.65  | (164)  ~ v1_xboole_0(all_0_0_0)
% 8.97/2.65  | (165) v17_lattices(all_0_1_1)
% 8.97/2.65  | (166)  ! [v0] : ( ~ v2_membered(v0) | v1_membered(v0))
% 8.97/2.65  | (167)  ! [v0] :  ! [v1] : ( ~ v2_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xreal_0(v1))
% 8.97/2.65  | (168)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v3_membered(v0) |  ~ m1_subset_1(v2, v1) | v2_membered(v2))
% 8.97/2.65  | (169)  ~ v3_struct_0(all_0_15_15)
% 8.97/2.65  | (170)  ! [v0] : ( ~ v5_membered(v0) | v4_membered(v0))
% 8.97/2.65  | (171)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v4_membered(v0) |  ~ m1_subset_1(v2, v1) | v2_membered(v2))
% 8.97/2.65  | (172)  ! [v0] : ( ~ l1_lattices(v0) | l1_struct_0(v0))
% 8.97/2.65  | (173)  ! [v0] : ( ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v8_lattices(v0) | v3_struct_0(v0))
% 8.97/2.65  | (174)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v1_membered(v0) |  ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 8.97/2.65  | (175)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v5_membered(v0) |  ~ m1_subset_1(v2, v1) | v5_membered(v2))
% 8.97/2.65  | (176) v1_filter_0(all_0_8_8, all_0_15_15)
% 8.97/2.65  | (177)  ! [v0] : ( ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v4_lattices(v0) | v3_struct_0(v0))
% 8.97/2.65  | (178)  ! [v0] :  ! [v1] : ( ~ v3_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 8.97/2.65  | (179)  ! [v0] : ( ~ v11_lattices(v0) |  ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v7_lattices(v0) | v3_struct_0(v0))
% 8.97/2.65  | (180)  ! [v0] : ( ~ v4_finsub_1(v0) | v1_finsub_1(v0))
% 8.97/2.65  | (181)  ! [v0] : ( ~ v11_lattices(v0) |  ~ l3_lattices(v0) |  ~ v10_lattices(v0) | v9_lattices(v0) | v3_struct_0(v0))
% 8.97/2.65  | (182)  ! [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))
% 8.97/2.65  | (183)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ v1_xboole_0(v1) |  ~ v1_xboole_0(v0))
% 8.97/2.65  | (184) v6_lattices(all_0_1_1)
% 8.97/2.65  | (185)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v1 = v0 |  ~ (k8_funct_2(v5, v4, v3, v2) = v1) |  ~ (k8_funct_2(v5, v4, v3, v2) = v0))
% 8.97/2.65  | (186)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k2_zfmisc_1(v3, v2) = v1) |  ~ (k2_zfmisc_1(v3, v2) = v0))
% 8.97/2.65  | (187) v17_lattices(all_0_15_15)
% 8.97/2.65  |
% 8.97/2.65  | Instantiating formula (73) with all_0_14_14, all_0_10_10 and discharging atoms m1_subset_1(all_0_10_10, all_0_14_14), yields:
% 8.97/2.65  | (188) v1_xboole_0(all_0_14_14) | r2_hidden(all_0_10_10, all_0_14_14)
% 8.97/2.65  |
% 8.97/2.65  | Instantiating formula (125) with all_0_15_15 and discharging atoms l3_lattices(all_0_15_15), yields:
% 8.97/2.65  | (189) l1_lattices(all_0_15_15)
% 8.97/2.65  |
% 8.97/2.65  | Instantiating formula (161) with all_0_13_13, all_0_15_15 and discharging atoms k7_lopclset(all_0_15_15) = all_0_13_13, l3_lattices(all_0_15_15), v17_lattices(all_0_15_15), v10_lattices(all_0_15_15),  ~ v3_realset2(all_0_15_15),  ~ v3_struct_0(all_0_15_15), yields:
% 8.97/2.65  | (190)  ? [v0] :  ? [v1] :  ? [v2] : (k9_lopclset(all_0_15_15) = v0 & u1_struct_0(all_0_15_15) = v1 & k1_zfmisc_1(all_0_13_13) = v2 & m2_relset_1(v0, v1, v2) & v1_funct_2(v0, v1, v2) & v1_funct_1(v0))
% 8.97/2.65  |
% 8.97/2.65  | Instantiating formula (88) with all_0_13_13, all_0_15_15 and discharging atoms k7_lopclset(all_0_15_15) = all_0_13_13, l3_lattices(all_0_15_15), v17_lattices(all_0_15_15), v10_lattices(all_0_15_15),  ~ v3_realset2(all_0_15_15),  ~ v3_struct_0(all_0_15_15), yields:
% 8.97/2.65  | (191)  ? [v0] :  ? [v1] :  ? [v2] : (u1_struct_0(all_0_15_15) = v0 & k1_zfmisc_1(v1) = v2 & k1_zfmisc_1(v0) = v1 & m1_subset_1(all_0_13_13, v2))
% 8.97/2.65  |
% 8.97/2.65  | Instantiating formula (182) with all_0_11_11, all_0_15_15 and discharging atoms k9_lopclset(all_0_15_15) = all_0_11_11, l3_lattices(all_0_15_15), v17_lattices(all_0_15_15), v10_lattices(all_0_15_15),  ~ v3_realset2(all_0_15_15),  ~ v3_struct_0(all_0_15_15), yields:
% 8.97/2.65  | (192) k8_lopclset(all_0_15_15) = all_0_11_11
% 8.97/2.65  |
% 8.97/2.65  | Instantiating formula (56) with all_0_11_11, all_0_15_15 and discharging atoms k9_lopclset(all_0_15_15) = all_0_11_11, l3_lattices(all_0_15_15), v17_lattices(all_0_15_15), v10_lattices(all_0_15_15),  ~ v3_realset2(all_0_15_15),  ~ v3_struct_0(all_0_15_15), yields:
% 8.97/2.65  | (193)  ? [v0] :  ? [v1] :  ? [v2] : (k7_lopclset(all_0_15_15) = v1 & u1_struct_0(all_0_15_15) = v0 & k1_zfmisc_1(v1) = v2 & m2_relset_1(all_0_11_11, v0, v2) & v1_funct_2(all_0_11_11, v0, v2))
% 8.97/2.65  |
% 8.97/2.65  | Instantiating formula (133) with all_0_14_14, all_0_15_15 and discharging atoms u1_struct_0(all_0_15_15) = all_0_14_14, l3_lattices(all_0_15_15), v17_lattices(all_0_15_15), v10_lattices(all_0_15_15),  ~ v3_realset2(all_0_15_15),  ~ v3_struct_0(all_0_15_15), yields:
% 8.97/2.65  | (194)  ? [v0] :  ? [v1] :  ? [v2] : (k7_lopclset(all_0_15_15) = v1 & k9_lopclset(all_0_15_15) = v0 & k1_zfmisc_1(v1) = v2 & m2_relset_1(v0, all_0_14_14, v2) & v1_funct_2(v0, all_0_14_14, v2) & v1_funct_1(v0))
% 8.97/2.65  |
% 8.97/2.65  | Instantiating formula (160) with all_0_14_14, all_0_15_15 and discharging atoms u1_struct_0(all_0_15_15) = all_0_14_14, l3_lattices(all_0_15_15), v17_lattices(all_0_15_15), v10_lattices(all_0_15_15),  ~ v3_realset2(all_0_15_15),  ~ v3_struct_0(all_0_15_15), yields:
% 8.97/2.65  | (195)  ? [v0] :  ? [v1] :  ? [v2] : (k7_lopclset(all_0_15_15) = v0 & k1_zfmisc_1(v1) = v2 & k1_zfmisc_1(all_0_14_14) = v1 & m1_subset_1(v0, v2))
% 8.97/2.65  |
% 8.97/2.65  | Instantiating formula (107) with all_0_14_14, all_0_15_15 and discharging atoms u1_struct_0(all_0_15_15) = all_0_14_14, l3_lattices(all_0_15_15), v17_lattices(all_0_15_15), v10_lattices(all_0_15_15),  ~ v3_realset2(all_0_15_15),  ~ v3_struct_0(all_0_15_15), yields:
% 8.97/2.65  | (196)  ? [v0] : (k8_lopclset(all_0_15_15) = v0 &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_funct_1(v0, v1) = v2) |  ~ r2_hidden(v3, v2) |  ~ m1_filter_0(v3, all_0_15_15) |  ~ m1_subset_1(v1, all_0_14_14) | r2_hidden(v1, v3)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_funct_1(v0, v1) = v2) |  ~ r2_hidden(v3, v2) |  ~ m1_filter_0(v3, all_0_15_15) |  ~ m1_subset_1(v1, all_0_14_14) | v1_filter_0(v3, all_0_15_15)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_funct_1(v0, v1) = v2) |  ~ r2_hidden(v1, v3) |  ~ v1_filter_0(v3, all_0_15_15) |  ~ m1_filter_0(v3, all_0_15_15) |  ~ m1_subset_1(v1, all_0_14_14) | r2_hidden(v3, v2)))
% 8.97/2.65  |
% 8.97/2.65  | Instantiating formula (120) with all_0_14_14, all_0_15_15 and discharging atoms u1_struct_0(all_0_15_15) = all_0_14_14, l3_lattices(all_0_15_15), v10_lattices(all_0_15_15),  ~ v3_struct_0(all_0_15_15), yields:
% 8.97/2.65  | (197)  ? [v0] : (k1_zfmisc_1(all_0_14_14) = v0 &  ! [v1] : ( ~ v1_xboole_0(v1) |  ~ m1_filter_0(v1, all_0_15_15)) &  ! [v1] : ( ~ m1_filter_0(v1, all_0_15_15) | m1_subset_1(v1, v0)))
% 8.97/2.65  |
% 8.97/2.65  | Instantiating (197) with all_26_0_35 yields:
% 8.97/2.65  | (198) k1_zfmisc_1(all_0_14_14) = all_26_0_35 &  ! [v0] : ( ~ v1_xboole_0(v0) |  ~ m1_filter_0(v0, all_0_15_15)) &  ! [v0] : ( ~ m1_filter_0(v0, all_0_15_15) | m1_subset_1(v0, all_26_0_35))
% 8.97/2.65  |
% 8.97/2.65  | Applying alpha-rule on (198) yields:
% 8.97/2.65  | (199) k1_zfmisc_1(all_0_14_14) = all_26_0_35
% 8.97/2.65  | (200)  ! [v0] : ( ~ v1_xboole_0(v0) |  ~ m1_filter_0(v0, all_0_15_15))
% 8.97/2.65  | (201)  ! [v0] : ( ~ m1_filter_0(v0, all_0_15_15) | m1_subset_1(v0, all_26_0_35))
% 8.97/2.65  |
% 8.97/2.65  | Instantiating formula (201) with all_0_8_8 and discharging atoms m1_filter_0(all_0_8_8, all_0_15_15), yields:
% 8.97/2.65  | (202) m1_subset_1(all_0_8_8, all_26_0_35)
% 8.97/2.65  |
% 8.97/2.65  | Instantiating (194) with all_30_0_36, all_30_1_37, all_30_2_38 yields:
% 8.97/2.65  | (203) k7_lopclset(all_0_15_15) = all_30_1_37 & k9_lopclset(all_0_15_15) = all_30_2_38 & k1_zfmisc_1(all_30_1_37) = all_30_0_36 & m2_relset_1(all_30_2_38, all_0_14_14, all_30_0_36) & v1_funct_2(all_30_2_38, all_0_14_14, all_30_0_36) & v1_funct_1(all_30_2_38)
% 8.97/2.65  |
% 8.97/2.66  | Applying alpha-rule on (203) yields:
% 8.97/2.66  | (204) v1_funct_1(all_30_2_38)
% 8.97/2.66  | (205) k1_zfmisc_1(all_30_1_37) = all_30_0_36
% 8.97/2.66  | (206) m2_relset_1(all_30_2_38, all_0_14_14, all_30_0_36)
% 8.97/2.66  | (207) k7_lopclset(all_0_15_15) = all_30_1_37
% 8.97/2.66  | (208) k9_lopclset(all_0_15_15) = all_30_2_38
% 8.97/2.66  | (209) v1_funct_2(all_30_2_38, all_0_14_14, all_30_0_36)
% 8.97/2.66  |
% 8.97/2.66  | Instantiating (193) with all_34_0_40, all_34_1_41, all_34_2_42 yields:
% 8.97/2.66  | (210) k7_lopclset(all_0_15_15) = all_34_1_41 & u1_struct_0(all_0_15_15) = all_34_2_42 & k1_zfmisc_1(all_34_1_41) = all_34_0_40 & m2_relset_1(all_0_11_11, all_34_2_42, all_34_0_40) & v1_funct_2(all_0_11_11, all_34_2_42, all_34_0_40)
% 8.97/2.66  |
% 8.97/2.66  | Applying alpha-rule on (210) yields:
% 8.97/2.66  | (211) k1_zfmisc_1(all_34_1_41) = all_34_0_40
% 8.97/2.66  | (212) u1_struct_0(all_0_15_15) = all_34_2_42
% 8.97/2.66  | (213) v1_funct_2(all_0_11_11, all_34_2_42, all_34_0_40)
% 8.97/2.66  | (214) k7_lopclset(all_0_15_15) = all_34_1_41
% 8.97/2.66  | (215) m2_relset_1(all_0_11_11, all_34_2_42, all_34_0_40)
% 8.97/2.66  |
% 8.97/2.66  | Instantiating (196) with all_36_0_43 yields:
% 8.97/2.66  | (216) k8_lopclset(all_0_15_15) = all_36_0_43 &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_funct_1(all_36_0_43, v0) = v1) |  ~ r2_hidden(v2, v1) |  ~ m1_filter_0(v2, all_0_15_15) |  ~ m1_subset_1(v0, all_0_14_14) | r2_hidden(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_funct_1(all_36_0_43, v0) = v1) |  ~ r2_hidden(v2, v1) |  ~ m1_filter_0(v2, all_0_15_15) |  ~ m1_subset_1(v0, all_0_14_14) | v1_filter_0(v2, all_0_15_15)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_funct_1(all_36_0_43, v0) = v1) |  ~ r2_hidden(v0, v2) |  ~ v1_filter_0(v2, all_0_15_15) |  ~ m1_filter_0(v2, all_0_15_15) |  ~ m1_subset_1(v0, all_0_14_14) | r2_hidden(v2, v1))
% 8.97/2.66  |
% 8.97/2.66  | Applying alpha-rule on (216) yields:
% 8.97/2.66  | (217) k8_lopclset(all_0_15_15) = all_36_0_43
% 8.97/2.66  | (218)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_funct_1(all_36_0_43, v0) = v1) |  ~ r2_hidden(v2, v1) |  ~ m1_filter_0(v2, all_0_15_15) |  ~ m1_subset_1(v0, all_0_14_14) | r2_hidden(v0, v2))
% 8.97/2.66  | (219)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_funct_1(all_36_0_43, v0) = v1) |  ~ r2_hidden(v2, v1) |  ~ m1_filter_0(v2, all_0_15_15) |  ~ m1_subset_1(v0, all_0_14_14) | v1_filter_0(v2, all_0_15_15))
% 8.97/2.66  | (220)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_funct_1(all_36_0_43, v0) = v1) |  ~ r2_hidden(v0, v2) |  ~ v1_filter_0(v2, all_0_15_15) |  ~ m1_filter_0(v2, all_0_15_15) |  ~ m1_subset_1(v0, all_0_14_14) | r2_hidden(v2, v1))
% 8.97/2.66  |
% 8.97/2.66  | Instantiating (191) with all_39_0_44, all_39_1_45, all_39_2_46 yields:
% 8.97/2.66  | (221) u1_struct_0(all_0_15_15) = all_39_2_46 & k1_zfmisc_1(all_39_1_45) = all_39_0_44 & k1_zfmisc_1(all_39_2_46) = all_39_1_45 & m1_subset_1(all_0_13_13, all_39_0_44)
% 8.97/2.66  |
% 8.97/2.66  | Applying alpha-rule on (221) yields:
% 8.97/2.66  | (222) u1_struct_0(all_0_15_15) = all_39_2_46
% 8.97/2.66  | (223) k1_zfmisc_1(all_39_1_45) = all_39_0_44
% 8.97/2.66  | (224) k1_zfmisc_1(all_39_2_46) = all_39_1_45
% 8.97/2.66  | (225) m1_subset_1(all_0_13_13, all_39_0_44)
% 8.97/2.66  |
% 8.97/2.66  | Instantiating (195) with all_41_0_47, all_41_1_48, all_41_2_49 yields:
% 8.97/2.66  | (226) k7_lopclset(all_0_15_15) = all_41_2_49 & k1_zfmisc_1(all_41_1_48) = all_41_0_47 & k1_zfmisc_1(all_0_14_14) = all_41_1_48 & m1_subset_1(all_41_2_49, all_41_0_47)
% 8.97/2.66  |
% 8.97/2.66  | Applying alpha-rule on (226) yields:
% 8.97/2.66  | (227) k7_lopclset(all_0_15_15) = all_41_2_49
% 8.97/2.66  | (228) k1_zfmisc_1(all_41_1_48) = all_41_0_47
% 8.97/2.66  | (229) k1_zfmisc_1(all_0_14_14) = all_41_1_48
% 8.97/2.66  | (230) m1_subset_1(all_41_2_49, all_41_0_47)
% 8.97/2.66  |
% 8.97/2.66  | Instantiating (190) with all_43_0_50, all_43_1_51, all_43_2_52 yields:
% 8.97/2.66  | (231) k9_lopclset(all_0_15_15) = all_43_2_52 & u1_struct_0(all_0_15_15) = all_43_1_51 & k1_zfmisc_1(all_0_13_13) = all_43_0_50 & m2_relset_1(all_43_2_52, all_43_1_51, all_43_0_50) & v1_funct_2(all_43_2_52, all_43_1_51, all_43_0_50) & v1_funct_1(all_43_2_52)
% 8.97/2.66  |
% 8.97/2.66  | Applying alpha-rule on (231) yields:
% 8.97/2.66  | (232) k1_zfmisc_1(all_0_13_13) = all_43_0_50
% 8.97/2.66  | (233) v1_funct_2(all_43_2_52, all_43_1_51, all_43_0_50)
% 8.97/2.66  | (234) v1_funct_1(all_43_2_52)
% 8.97/2.66  | (235) u1_struct_0(all_0_15_15) = all_43_1_51
% 8.97/2.66  | (236) m2_relset_1(all_43_2_52, all_43_1_51, all_43_0_50)
% 8.97/2.66  | (237) k9_lopclset(all_0_15_15) = all_43_2_52
% 8.97/2.66  |
% 8.97/2.66  | Instantiating formula (6) with all_0_15_15, all_41_2_49, all_0_13_13 and discharging atoms k7_lopclset(all_0_15_15) = all_41_2_49, k7_lopclset(all_0_15_15) = all_0_13_13, yields:
% 8.97/2.66  | (238) all_41_2_49 = all_0_13_13
% 8.97/2.66  |
% 8.97/2.66  | Instantiating formula (6) with all_0_15_15, all_34_1_41, all_41_2_49 and discharging atoms k7_lopclset(all_0_15_15) = all_41_2_49, k7_lopclset(all_0_15_15) = all_34_1_41, yields:
% 8.97/2.66  | (239) all_41_2_49 = all_34_1_41
% 8.97/2.66  |
% 8.97/2.66  | Instantiating formula (6) with all_0_15_15, all_30_1_37, all_41_2_49 and discharging atoms k7_lopclset(all_0_15_15) = all_41_2_49, k7_lopclset(all_0_15_15) = all_30_1_37, yields:
% 8.97/2.66  | (240) all_41_2_49 = all_30_1_37
% 8.97/2.66  |
% 8.97/2.66  | Instantiating formula (58) with all_0_15_15, all_43_2_52, all_0_11_11 and discharging atoms k9_lopclset(all_0_15_15) = all_43_2_52, k9_lopclset(all_0_15_15) = all_0_11_11, yields:
% 8.97/2.66  | (241) all_43_2_52 = all_0_11_11
% 8.97/2.66  |
% 8.97/2.66  | Instantiating formula (58) with all_0_15_15, all_30_2_38, all_43_2_52 and discharging atoms k9_lopclset(all_0_15_15) = all_43_2_52, k9_lopclset(all_0_15_15) = all_30_2_38, yields:
% 8.97/2.66  | (242) all_43_2_52 = all_30_2_38
% 8.97/2.66  |
% 8.97/2.66  | Instantiating formula (89) with all_0_15_15, all_0_11_11, all_36_0_43 and discharging atoms k8_lopclset(all_0_15_15) = all_36_0_43, k8_lopclset(all_0_15_15) = all_0_11_11, yields:
% 8.97/2.66  | (243) all_36_0_43 = all_0_11_11
% 8.97/2.66  |
% 8.97/2.66  | Instantiating formula (113) with all_0_15_15, all_43_1_51, all_0_14_14 and discharging atoms u1_struct_0(all_0_15_15) = all_43_1_51, u1_struct_0(all_0_15_15) = all_0_14_14, yields:
% 8.97/2.66  | (244) all_43_1_51 = all_0_14_14
% 8.97/2.66  |
% 8.97/2.66  | Instantiating formula (113) with all_0_15_15, all_39_2_46, all_43_1_51 and discharging atoms u1_struct_0(all_0_15_15) = all_43_1_51, u1_struct_0(all_0_15_15) = all_39_2_46, yields:
% 8.97/2.66  | (245) all_43_1_51 = all_39_2_46
% 8.97/2.66  |
% 8.97/2.66  | Instantiating formula (113) with all_0_15_15, all_34_2_42, all_43_1_51 and discharging atoms u1_struct_0(all_0_15_15) = all_43_1_51, u1_struct_0(all_0_15_15) = all_34_2_42, yields:
% 8.97/2.66  | (246) all_43_1_51 = all_34_2_42
% 8.97/2.66  |
% 8.97/2.66  | Instantiating formula (94) with all_0_13_13, all_43_0_50, all_0_12_12 and discharging atoms k1_zfmisc_1(all_0_13_13) = all_43_0_50, k1_zfmisc_1(all_0_13_13) = all_0_12_12, yields:
% 8.97/2.66  | (247) all_43_0_50 = all_0_12_12
% 8.97/2.66  |
% 8.97/2.66  | Instantiating formula (94) with all_0_14_14, all_26_0_35, all_41_1_48 and discharging atoms k1_zfmisc_1(all_0_14_14) = all_41_1_48, k1_zfmisc_1(all_0_14_14) = all_26_0_35, yields:
% 8.97/2.66  | (248) all_41_1_48 = all_26_0_35
% 8.97/2.66  |
% 8.97/2.66  | Combining equations (246,245) yields a new equation:
% 8.97/2.66  | (249) all_39_2_46 = all_34_2_42
% 8.97/2.66  |
% 8.97/2.66  | Combining equations (244,245) yields a new equation:
% 8.97/2.66  | (250) all_39_2_46 = all_0_14_14
% 8.97/2.66  |
% 8.97/2.66  | Combining equations (241,242) yields a new equation:
% 8.97/2.66  | (251) all_30_2_38 = all_0_11_11
% 8.97/2.66  |
% 8.97/2.66  | Combining equations (238,239) yields a new equation:
% 8.97/2.66  | (252) all_34_1_41 = all_0_13_13
% 8.97/2.66  |
% 8.97/2.66  | Combining equations (240,239) yields a new equation:
% 8.97/2.66  | (253) all_34_1_41 = all_30_1_37
% 8.97/2.66  |
% 8.97/2.66  | Combining equations (249,250) yields a new equation:
% 8.97/2.66  | (254) all_34_2_42 = all_0_14_14
% 8.97/2.66  |
% 8.97/2.66  | Simplifying 254 yields:
% 8.97/2.66  | (255) all_34_2_42 = all_0_14_14
% 8.97/2.66  |
% 8.97/2.66  | Combining equations (253,252) yields a new equation:
% 8.97/2.66  | (256) all_30_1_37 = all_0_13_13
% 8.97/2.66  |
% 8.97/2.66  | Simplifying 256 yields:
% 8.97/2.66  | (257) all_30_1_37 = all_0_13_13
% 8.97/2.66  |
% 8.97/2.66  | From (243) and (217) follows:
% 8.97/2.66  | (192) k8_lopclset(all_0_15_15) = all_0_11_11
% 8.97/2.66  |
% 8.97/2.66  | From (255) and (212) follows:
% 8.97/2.66  | (47) u1_struct_0(all_0_15_15) = all_0_14_14
% 8.97/2.66  |
% 8.97/2.66  | From (250) and (224) follows:
% 8.97/2.66  | (260) k1_zfmisc_1(all_0_14_14) = all_39_1_45
% 8.97/2.66  |
% 8.97/2.66  | From (252) and (211) follows:
% 8.97/2.66  | (261) k1_zfmisc_1(all_0_13_13) = all_34_0_40
% 8.97/2.66  |
% 8.97/2.66  | From (257) and (205) follows:
% 8.97/2.66  | (262) k1_zfmisc_1(all_0_13_13) = all_30_0_36
% 8.97/2.66  |
% 8.97/2.66  | From (247) and (232) follows:
% 8.97/2.66  | (98) k1_zfmisc_1(all_0_13_13) = all_0_12_12
% 8.97/2.66  |
% 8.97/2.66  | From (248) and (229) follows:
% 8.97/2.66  | (199) k1_zfmisc_1(all_0_14_14) = all_26_0_35
% 8.97/2.66  |
% 8.97/2.66  | From (251) and (206) follows:
% 8.97/2.66  | (265) m2_relset_1(all_0_11_11, all_0_14_14, all_30_0_36)
% 8.97/2.66  |
% 8.97/2.66  | From (251) and (209) follows:
% 8.97/2.66  | (266) v1_funct_2(all_0_11_11, all_0_14_14, all_30_0_36)
% 8.97/2.66  |
% 8.97/2.66  | From (251) and (204) follows:
% 8.97/2.66  | (267) v1_funct_1(all_0_11_11)
% 8.97/2.66  |
% 8.97/2.66  | Instantiating formula (94) with all_0_13_13, all_34_0_40, all_0_12_12 and discharging atoms k1_zfmisc_1(all_0_13_13) = all_34_0_40, k1_zfmisc_1(all_0_13_13) = all_0_12_12, yields:
% 8.97/2.66  | (268) all_34_0_40 = all_0_12_12
% 8.97/2.66  |
% 8.97/2.66  | Instantiating formula (94) with all_0_13_13, all_30_0_36, all_34_0_40 and discharging atoms k1_zfmisc_1(all_0_13_13) = all_34_0_40, k1_zfmisc_1(all_0_13_13) = all_30_0_36, yields:
% 8.97/2.66  | (269) all_34_0_40 = all_30_0_36
% 8.97/2.66  |
% 8.97/2.66  | Instantiating formula (94) with all_0_14_14, all_39_1_45, all_26_0_35 and discharging atoms k1_zfmisc_1(all_0_14_14) = all_39_1_45, k1_zfmisc_1(all_0_14_14) = all_26_0_35, yields:
% 8.97/2.66  | (270) all_39_1_45 = all_26_0_35
% 8.97/2.66  |
% 8.97/2.66  | Combining equations (269,268) yields a new equation:
% 8.97/2.66  | (271) all_30_0_36 = all_0_12_12
% 8.97/2.66  |
% 8.97/2.66  | Simplifying 271 yields:
% 8.97/2.66  | (272) all_30_0_36 = all_0_12_12
% 8.97/2.66  |
% 8.97/2.66  | From (270) and (260) follows:
% 8.97/2.66  | (199) k1_zfmisc_1(all_0_14_14) = all_26_0_35
% 8.97/2.66  |
% 8.97/2.66  | From (272) and (265) follows:
% 8.97/2.67  | (274) m2_relset_1(all_0_11_11, all_0_14_14, all_0_12_12)
% 8.97/2.67  |
% 8.97/2.67  | From (272) and (266) follows:
% 8.97/2.67  | (275) v1_funct_2(all_0_11_11, all_0_14_14, all_0_12_12)
% 8.97/2.67  |
% 8.97/2.67  | Instantiating formula (145) with all_0_11_11, all_0_15_15 and discharging atoms k8_lopclset(all_0_15_15) = all_0_11_11, l3_lattices(all_0_15_15), v17_lattices(all_0_15_15), v10_lattices(all_0_15_15),  ~ v3_realset2(all_0_15_15),  ~ v3_struct_0(all_0_15_15), yields:
% 8.97/2.67  | (276)  ? [v0] : (u1_struct_0(all_0_15_15) = v0 &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_funct_1(all_0_11_11, v1) = v2) |  ~ r2_hidden(v3, v2) |  ~ m1_filter_0(v3, all_0_15_15) |  ~ m1_subset_1(v1, v0) | r2_hidden(v1, v3)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_funct_1(all_0_11_11, v1) = v2) |  ~ r2_hidden(v3, v2) |  ~ m1_filter_0(v3, all_0_15_15) |  ~ m1_subset_1(v1, v0) | v1_filter_0(v3, all_0_15_15)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_funct_1(all_0_11_11, v1) = v2) |  ~ r2_hidden(v1, v3) |  ~ v1_filter_0(v3, all_0_15_15) |  ~ m1_filter_0(v3, all_0_15_15) |  ~ m1_subset_1(v1, v0) | r2_hidden(v3, v2)))
% 8.97/2.67  |
% 8.97/2.67  | Instantiating formula (147) with all_0_11_11, all_0_12_12, all_0_14_14 and discharging atoms m2_relset_1(all_0_11_11, all_0_14_14, all_0_12_12), yields:
% 8.97/2.67  | (277) m1_relset_1(all_0_11_11, all_0_14_14, all_0_12_12)
% 8.97/2.67  |
% 8.97/2.67  | Instantiating formula (172) with all_0_15_15 and discharging atoms l1_lattices(all_0_15_15), yields:
% 8.97/2.67  | (278) l1_struct_0(all_0_15_15)
% 8.97/2.67  |
% 8.97/2.67  | Instantiating (276) with all_63_0_53 yields:
% 8.97/2.67  | (279) u1_struct_0(all_0_15_15) = all_63_0_53 &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_funct_1(all_0_11_11, v0) = v1) |  ~ r2_hidden(v2, v1) |  ~ m1_filter_0(v2, all_0_15_15) |  ~ m1_subset_1(v0, all_63_0_53) | r2_hidden(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_funct_1(all_0_11_11, v0) = v1) |  ~ r2_hidden(v2, v1) |  ~ m1_filter_0(v2, all_0_15_15) |  ~ m1_subset_1(v0, all_63_0_53) | v1_filter_0(v2, all_0_15_15)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_funct_1(all_0_11_11, v0) = v1) |  ~ r2_hidden(v0, v2) |  ~ v1_filter_0(v2, all_0_15_15) |  ~ m1_filter_0(v2, all_0_15_15) |  ~ m1_subset_1(v0, all_63_0_53) | r2_hidden(v2, v1))
% 8.97/2.67  |
% 8.97/2.67  | Applying alpha-rule on (279) yields:
% 8.97/2.67  | (280) u1_struct_0(all_0_15_15) = all_63_0_53
% 8.97/2.67  | (281)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_funct_1(all_0_11_11, v0) = v1) |  ~ r2_hidden(v2, v1) |  ~ m1_filter_0(v2, all_0_15_15) |  ~ m1_subset_1(v0, all_63_0_53) | r2_hidden(v0, v2))
% 8.97/2.67  | (282)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_funct_1(all_0_11_11, v0) = v1) |  ~ r2_hidden(v2, v1) |  ~ m1_filter_0(v2, all_0_15_15) |  ~ m1_subset_1(v0, all_63_0_53) | v1_filter_0(v2, all_0_15_15))
% 8.97/2.67  | (283)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_funct_1(all_0_11_11, v0) = v1) |  ~ r2_hidden(v0, v2) |  ~ v1_filter_0(v2, all_0_15_15) |  ~ m1_filter_0(v2, all_0_15_15) |  ~ m1_subset_1(v0, all_63_0_53) | r2_hidden(v2, v1))
% 8.97/2.67  |
% 8.97/2.67  | Instantiating formula (113) with all_0_15_15, all_63_0_53, all_0_14_14 and discharging atoms u1_struct_0(all_0_15_15) = all_63_0_53, u1_struct_0(all_0_15_15) = all_0_14_14, yields:
% 8.97/2.67  | (284) all_63_0_53 = all_0_14_14
% 8.97/2.67  |
% 8.97/2.67  | From (284) and (280) follows:
% 8.97/2.67  | (47) u1_struct_0(all_0_15_15) = all_0_14_14
% 8.97/2.67  |
% 8.97/2.67  | Instantiating formula (129) with all_0_14_14, all_0_15_15 and discharging atoms u1_struct_0(all_0_15_15) = all_0_14_14, l1_struct_0(all_0_15_15),  ~ v3_struct_0(all_0_15_15), yields:
% 8.97/2.67  | (286)  ? [v0] :  ? [v1] : (k1_zfmisc_1(all_0_14_14) = v0 & m1_subset_1(v1, v0) &  ~ v1_xboole_0(v1))
% 8.97/2.67  |
% 8.97/2.67  | Instantiating formula (17) with all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_14_14 and discharging atoms k8_funct_2(all_0_14_14, all_0_12_12, all_0_11_11, all_0_10_10) = all_0_9_9, v1_funct_2(all_0_11_11, all_0_14_14, all_0_12_12), v1_funct_1(all_0_11_11), m1_relset_1(all_0_11_11, all_0_14_14, all_0_12_12), m1_subset_1(all_0_10_10, all_0_14_14), yields:
% 8.97/2.67  | (287) k1_funct_1(all_0_11_11, all_0_10_10) = all_0_9_9 | v1_xboole_0(all_0_14_14)
% 8.97/2.67  |
% 8.97/2.67  | Instantiating (286) with all_76_0_54, all_76_1_55 yields:
% 8.97/2.67  | (288) k1_zfmisc_1(all_0_14_14) = all_76_1_55 & m1_subset_1(all_76_0_54, all_76_1_55) &  ~ v1_xboole_0(all_76_0_54)
% 8.97/2.67  |
% 8.97/2.67  | Applying alpha-rule on (288) yields:
% 8.97/2.67  | (289) k1_zfmisc_1(all_0_14_14) = all_76_1_55
% 8.97/2.67  | (290) m1_subset_1(all_76_0_54, all_76_1_55)
% 8.97/2.67  | (291)  ~ v1_xboole_0(all_76_0_54)
% 8.97/2.67  |
% 8.97/2.67  | Instantiating formula (94) with all_0_14_14, all_76_1_55, all_26_0_35 and discharging atoms k1_zfmisc_1(all_0_14_14) = all_76_1_55, k1_zfmisc_1(all_0_14_14) = all_26_0_35, yields:
% 8.97/2.67  | (292) all_76_1_55 = all_26_0_35
% 8.97/2.67  |
% 8.97/2.67  | From (292) and (289) follows:
% 8.97/2.67  | (199) k1_zfmisc_1(all_0_14_14) = all_26_0_35
% 8.97/2.67  |
% 8.97/2.67  +-Applying beta-rule and splitting (188), into two cases.
% 8.97/2.67  |-Branch one:
% 8.97/2.67  | (294) v1_xboole_0(all_0_14_14)
% 8.97/2.67  |
% 8.97/2.67  	| Instantiating formula (158) with all_26_0_35, all_0_14_14, all_0_8_8, all_0_10_10 and discharging atoms k1_zfmisc_1(all_0_14_14) = all_26_0_35, v1_xboole_0(all_0_14_14), r2_hidden(all_0_10_10, all_0_8_8), m1_subset_1(all_0_8_8, all_26_0_35), yields:
% 8.97/2.67  	| (295) $false
% 8.97/2.67  	|
% 8.97/2.67  	|-The branch is then unsatisfiable
% 8.97/2.67  |-Branch two:
% 8.97/2.67  | (296)  ~ v1_xboole_0(all_0_14_14)
% 8.97/2.67  | (297) r2_hidden(all_0_10_10, all_0_14_14)
% 8.97/2.67  |
% 8.97/2.67  	+-Applying beta-rule and splitting (287), into two cases.
% 8.97/2.67  	|-Branch one:
% 8.97/2.67  	| (294) v1_xboole_0(all_0_14_14)
% 8.97/2.67  	|
% 8.97/2.67  		| Using (294) and (296) yields:
% 8.97/2.67  		| (295) $false
% 8.97/2.67  		|
% 8.97/2.67  		|-The branch is then unsatisfiable
% 8.97/2.67  	|-Branch two:
% 8.97/2.67  	| (296)  ~ v1_xboole_0(all_0_14_14)
% 8.97/2.67  	| (301) k1_funct_1(all_0_11_11, all_0_10_10) = all_0_9_9
% 8.97/2.67  	|
% 8.97/2.67  		| Instantiating formula (220) with all_0_8_8, all_0_9_9, all_0_10_10 and discharging atoms r2_hidden(all_0_10_10, all_0_8_8), v1_filter_0(all_0_8_8, all_0_15_15), m1_filter_0(all_0_8_8, all_0_15_15), m1_subset_1(all_0_10_10, all_0_14_14),  ~ r2_hidden(all_0_8_8, all_0_9_9), yields:
% 8.97/2.67  		| (302)  ~ (k1_funct_1(all_36_0_43, all_0_10_10) = all_0_9_9)
% 8.97/2.67  		|
% 8.97/2.67  		| From (243) and (302) follows:
% 8.97/2.67  		| (303)  ~ (k1_funct_1(all_0_11_11, all_0_10_10) = all_0_9_9)
% 8.97/2.67  		|
% 8.97/2.67  		| Using (301) and (303) yields:
% 8.97/2.67  		| (295) $false
% 8.97/2.67  		|
% 8.97/2.67  		|-The branch is then unsatisfiable
% 8.97/2.67  % SZS output end Proof for theBenchmark
% 8.97/2.67  
% 8.97/2.67  2097ms
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