%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : LAT295+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n008.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 04:32:34 EDT 2022

% Result   : Theorem 5.30s 1.80s
% Output   : Proof 9.82s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : LAT295+1 : TPTP v8.1.0. Released v3.4.0.
% 0.09/0.11  % Command  : ePrincess-casc -timeout=%d %s
% 0.11/0.32  % Computer : n008.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Wed Jun 29 22:46:08 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.56          ____       _                          
% 0.18/0.56    ___  / __ \_____(_)___  ________  __________
% 0.18/0.56   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.18/0.56  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.18/0.56  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.18/0.56  
% 0.18/0.56  A Theorem Prover for First-Order Logic
% 0.18/0.57  (ePrincess v.1.0)
% 0.18/0.57  
% 0.18/0.57  (c) Philipp Rümmer, 2009-2015
% 0.18/0.57  (c) Peter Backeman, 2014-2015
% 0.18/0.57  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.18/0.57  Free software under GNU Lesser General Public License (LGPL).
% 0.18/0.57  Bug reports to peter@backeman.se
% 0.18/0.57  
% 0.18/0.57  For more information, visit http://user.uu.se/~petba168/breu/
% 0.18/0.57  
% 0.18/0.57  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.71/0.64  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.79/0.95  Prover 0: Preprocessing ...
% 3.16/1.35  Prover 0: Warning: ignoring some quantifiers
% 3.44/1.39  Prover 0: Constructing countermodel ...
% 5.30/1.79  Prover 0: proved (1156ms)
% 5.30/1.80  
% 5.30/1.80  No countermodel exists, formula is valid
% 5.30/1.80  % SZS status Theorem for theBenchmark
% 5.30/1.80  
% 5.30/1.80  Generating proof ... Warning: ignoring some quantifiers
% 9.30/2.70  found it (size 284)
% 9.30/2.70  
% 9.30/2.70  % SZS output start Proof for theBenchmark
% 9.30/2.70  Assumed formulas after preprocessing and simplification: 
% 9.30/2.70  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] :  ? [v19] :  ? [v20] :  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] : (k2_lattices(v5, v9, v10) = v14 & k2_lattices(v0, v9, v10) = v12 & k1_lattices(v5, v9, v10) = v13 & k1_lattices(v0, v9, v10) = v11 & u1_struct_0(v5) = v6 & u1_struct_0(v0) = v1 & u2_lattices(v5) = v7 & u2_lattices(v0) = v2 & u1_lattices(v5) = v8 & u1_lattices(v0) = v3 & g3_lattices(v6, v7, v8) = v4 & g3_lattices(v1, v2, v3) = v4 & l1_struct_0(v27) & l1_struct_0(v16) & l1_lattices(v28) & l2_lattices(v26) & v2_funct_1(v18) & v1_relat_1(v24) & v1_relat_1(v21) & v1_relat_1(v18) & v1_realset1(v23) & v1_funct_1(v24) & v1_funct_1(v21) & v1_funct_1(v18) & v1_xboole_0(v22) & v1_xboole_0(v21) & v1_xboole_0(k1_xboole_0) & v3_lattices(v17) & v3_lattices(v15) & m1_subset_1(v10, v6) & m1_subset_1(v10, v1) & m1_subset_1(v9, v6) & m1_subset_1(v9, v1) & l3_lattices(v25) & l3_lattices(v17) & l3_lattices(v15) & l3_lattices(v5) & l3_lattices(v0) &  ~ v1_realset1(v20) &  ~ v1_xboole_0(v23) &  ~ v1_xboole_0(v20) &  ~ v1_xboole_0(v19) &  ~ v3_struct_0(v16) &  ~ v3_struct_0(v15) &  ~ v3_struct_0(v5) &  ~ v3_struct_0(v0) &  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] :  ! [v33] :  ! [v34] :  ! [v35] :  ! [v36] : (v30 = v29 |  ~ (k2_binop_1(v36, v35, v34, v33, v32, v31) = v30) |  ~ (k2_binop_1(v36, v35, v34, v33, v32, v31) = v29)) &  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] :  ! [v33] :  ! [v34] :  ! [v35] : (v35 = v31 |  ~ (g3_lattices(v33, v34, v35) = v32) |  ~ (g3_lattices(v29, v30, v31) = v32) |  ~ v1_funct_1(v31) |  ~ v1_funct_1(v30) |  ? [v36] : (k2_zfmisc_1(v29, v29) = v36 & ( ~ m1_relset_1(v31, v36, v29) |  ~ m1_relset_1(v30, v36, v29) |  ~ v1_funct_2(v31, v36, v29) |  ~ v1_funct_2(v30, v36, v29)))) &  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] :  ! [v33] :  ! [v34] :  ! [v35] : (v34 = v30 |  ~ (g3_lattices(v33, v34, v35) = v32) |  ~ (g3_lattices(v29, v30, v31) = v32) |  ~ v1_funct_1(v31) |  ~ v1_funct_1(v30) |  ? [v36] : (k2_zfmisc_1(v29, v29) = v36 & ( ~ m1_relset_1(v31, v36, v29) |  ~ m1_relset_1(v30, v36, v29) |  ~ v1_funct_2(v31, v36, v29) |  ~ v1_funct_2(v30, v36, v29)))) &  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] :  ! [v33] :  ! [v34] :  ! [v35] : (v33 = v29 |  ~ (g3_lattices(v33, v34, v35) = v32) |  ~ (g3_lattices(v29, v30, v31) = v32) |  ~ v1_funct_1(v31) |  ~ v1_funct_1(v30) |  ? [v36] : (k2_zfmisc_1(v29, v29) = v36 & ( ~ m1_relset_1(v31, v36, v29) |  ~ m1_relset_1(v30, v36, v29) |  ~ v1_funct_2(v31, v36, v29) |  ~ v1_funct_2(v30, v36, v29)))) &  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] :  ! [v33] :  ! [v34] :  ! [v35] : ( ~ (k2_binop_1(v29, v30, v31, v32, v33, v34) = v35) |  ~ v1_funct_1(v32) |  ~ m1_subset_1(v34, v30) |  ~ m1_subset_1(v33, v29) | v1_xboole_0(v30) | v1_xboole_0(v29) | m1_subset_1(v35, v31) |  ? [v36] : (k2_zfmisc_1(v29, v30) = v36 & ( ~ m1_relset_1(v32, v36, v31) |  ~ v1_funct_2(v32, v36, v31)))) &  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] :  ! [v33] :  ! [v34] :  ! [v35] : ( ~ (k2_binop_1(v29, v30, v31, v32, v33, v34) = v35) |  ~ v1_funct_1(v32) |  ~ m1_subset_1(v34, v30) |  ~ m1_subset_1(v33, v29) | v1_xboole_0(v30) | v1_xboole_0(v29) |  ? [v36] :  ? [v37] : (k1_binop_1(v32, v33, v34) = v37 & k2_zfmisc_1(v29, v30) = v36 & (v37 = v35 |  ~ m1_relset_1(v32, v36, v31) |  ~ v1_funct_2(v32, v36, v31)))) &  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] :  ! [v33] : (v33 = v32 |  ~ (k1_lattices(v29, v31, v32) = v33) |  ~ (u1_struct_0(v29) = v30) |  ~ l2_lattices(v29) |  ~ r1_lattices(v29, v31, v32) |  ~ m1_subset_1(v32, v30) |  ~ m1_subset_1(v31, v30) | v3_struct_0(v29)) &  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] :  ! [v33] : (v33 = v29 |  ~ (u1_struct_0(v29) = v30) |  ~ (u2_lattices(v29) = v31) |  ~ (u1_lattices(v29) = v32) |  ~ (g3_lattices(v30, v31, v32) = v33) |  ~ v3_lattices(v29) |  ~ l3_lattices(v29)) &  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] :  ! [v33] : (v30 = v29 |  ~ (k2_lattices(v33, v32, v31) = v30) |  ~ (k2_lattices(v33, v32, v31) = v29)) &  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] :  ! [v33] : (v30 = v29 |  ~ (k1_lattices(v33, v32, v31) = v30) |  ~ (k1_lattices(v33, v32, v31) = v29)) &  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] :  ! [v33] : (v30 = v29 |  ~ (k1_binop_1(v33, v32, v31) = v30) |  ~ (k1_binop_1(v33, v32, v31) = v29)) &  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] :  ! [v33] : (v30 = v29 |  ~ (g3_lattices(v33, v32, v31) = v30) |  ~ (g3_lattices(v33, v32, v31) = v29)) &  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] :  ! [v33] : ( ~ (k1_tarski(v29) = v32) |  ~ (k2_tarski(v31, v32) = v33) |  ~ (k2_tarski(v29, v30) = v31) | k4_tarski(v29, v30) = v33) &  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] :  ! [v33] : ( ~ (k4_tarski(v30, v31) = v32) |  ~ (k1_funct_1(v29, v32) = v33) |  ~ v1_relat_1(v29) |  ~ v1_funct_1(v29) | k1_binop_1(v29, v30, v31) = v33) &  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] : (v30 = v29 |  ~ (k4_tarski(v32, v31) = v30) |  ~ (k4_tarski(v32, v31) = v29)) &  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] : (v30 = v29 |  ~ (k1_funct_1(v32, v31) = v30) |  ~ (k1_funct_1(v32, v31) = v29)) &  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] : (v30 = v29 |  ~ (k2_tarski(v32, v31) = v30) |  ~ (k2_tarski(v32, v31) = v29)) &  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] : (v30 = v29 |  ~ (k2_zfmisc_1(v32, v31) = v30) |  ~ (k2_zfmisc_1(v32, v31) = v29)) &  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] : ( ~ (k2_lattices(v29, v30, v31) = v32) |  ~ l1_lattices(v29) | v3_struct_0(v29) |  ? [v33] : (u1_struct_0(v29) = v33 & ( ~ m1_subset_1(v31, v33) |  ~ m1_subset_1(v30, v33) | m1_subset_1(v32, v33)))) &  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] : ( ~ (k1_lattices(v29, v31, v32) = v32) |  ~ (u1_struct_0(v29) = v30) |  ~ l2_lattices(v29) |  ~ m1_subset_1(v32, v30) |  ~ m1_subset_1(v31, v30) | r1_lattices(v29, v31, v32) | v3_struct_0(v29)) &  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] : ( ~ (k1_lattices(v29, v30, v31) = v32) |  ~ l2_lattices(v29) | v3_struct_0(v29) |  ? [v33] : (u1_struct_0(v29) = v33 & ( ~ m1_subset_1(v31, v33) |  ~ m1_subset_1(v30, v33) | m1_subset_1(v32, v33)))) &  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] : ( ~ (k1_binop_1(v29, v30, v31) = v32) |  ~ v1_relat_1(v29) |  ~ v1_funct_1(v29) |  ? [v33] : (k4_tarski(v30, v31) = v33 & k1_funct_1(v29, v33) = v32)) &  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] : ( ~ (k2_zfmisc_1(v29, v30) = v32) |  ~ m2_relset_1(v31, v29, v30) |  ? [v33] : (k1_zfmisc_1(v32) = v33 & m1_subset_1(v31, v33))) &  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] : ( ~ (k1_zfmisc_1(v31) = v32) |  ~ v1_xboole_0(v31) |  ~ r2_hidden(v29, v30) |  ~ m1_subset_1(v30, v32)) &  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] : ( ~ (k1_zfmisc_1(v31) = v32) |  ~ r2_hidden(v29, v30) |  ~ m1_subset_1(v30, v32) | m1_subset_1(v29, v31)) &  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] : ( ~ (g3_lattices(v29, v30, v31) = v32) |  ~ v1_funct_1(v31) |  ~ v1_funct_1(v30) |  ~ v3_struct_0(v32) | v1_xboole_0(v29) |  ? [v33] : (k2_zfmisc_1(v29, v29) = v33 & ( ~ m1_relset_1(v31, v33, v29) |  ~ m1_relset_1(v30, v33, v29) |  ~ v1_funct_2(v31, v33, v29) |  ~ v1_funct_2(v30, v33, v29)))) &  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] : ( ~ (g3_lattices(v29, v30, v31) = v32) |  ~ v1_funct_1(v31) |  ~ v1_funct_1(v30) | v1_xboole_0(v29) | v3_lattices(v32) |  ? [v33] : (k2_zfmisc_1(v29, v29) = v33 & ( ~ m1_relset_1(v31, v33, v29) |  ~ m1_relset_1(v30, v33, v29) |  ~ v1_funct_2(v31, v33, v29) |  ~ v1_funct_2(v30, v33, v29)))) &  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] : ( ~ (g3_lattices(v29, v30, v31) = v32) |  ~ v1_funct_1(v31) |  ~ v1_funct_1(v30) | v3_lattices(v32) |  ? [v33] : (k2_zfmisc_1(v29, v29) = v33 & ( ~ m1_relset_1(v31, v33, v29) |  ~ m1_relset_1(v30, v33, v29) |  ~ v1_funct_2(v31, v33, v29) |  ~ v1_funct_2(v30, v33, v29)))) &  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] : ( ~ (g3_lattices(v29, v30, v31) = v32) |  ~ v1_funct_1(v31) |  ~ v1_funct_1(v30) | l3_lattices(v32) |  ? [v33] : (k2_zfmisc_1(v29, v29) = v33 & ( ~ m1_relset_1(v31, v33, v29) |  ~ m1_relset_1(v30, v33, v29) |  ~ v1_funct_2(v31, v33, v29) |  ~ v1_funct_2(v30, v33, v29)))) &  ? [v29] :  ! [v30] :  ! [v31] :  ! [v32] : ( ~ (k2_zfmisc_1(v30, v31) = v32) | v1_relat_1(v29) |  ? [v33] : (k1_zfmisc_1(v32) = v33 &  ~ m1_subset_1(v29, v33))) &  ! [v29] :  ! [v30] :  ! [v31] : (v30 = v29 |  ~ (k1_tarski(v31) = v30) |  ~ (k1_tarski(v31) = v29)) &  ! [v29] :  ! [v30] :  ! [v31] : (v30 = v29 |  ~ (k1_zfmisc_1(v31) = v30) |  ~ (k1_zfmisc_1(v31) = v29)) &  ! [v29] :  ! [v30] :  ! [v31] : (v30 = v29 |  ~ (u1_struct_0(v31) = v30) |  ~ (u1_struct_0(v31) = v29)) &  ! [v29] :  ! [v30] :  ! [v31] : (v30 = v29 |  ~ (u2_lattices(v31) = v30) |  ~ (u2_lattices(v31) = v29)) &  ! [v29] :  ! [v30] :  ! [v31] : (v30 = v29 |  ~ (u1_lattices(v31) = v30) |  ~ (u1_lattices(v31) = v29)) &  ! [v29] :  ! [v30] :  ! [v31] : ( ~ (k4_tarski(v29, v30) = v31) |  ? [v32] :  ? [v33] : (k1_tarski(v29) = v33 & k2_tarski(v32, v33) = v31 & k2_tarski(v29, v30) = v32)) &  ! [v29] :  ! [v30] :  ! [v31] : ( ~ (k2_tarski(v30, v29) = v31) | k2_tarski(v29, v30) = v31) &  ! [v29] :  ! [v30] :  ! [v31] : ( ~ (k2_tarski(v29, v30) = v31) |  ~ v1_xboole_0(v31)) &  ! [v29] :  ! [v30] :  ! [v31] : ( ~ (k2_tarski(v29, v30) = v31) | k2_tarski(v30, v29) = v31) &  ! [v29] :  ! [v30] :  ! [v31] : ( ~ (k2_zfmisc_1(v30, v30) = v31) |  ~ (u1_struct_0(v29) = v30) |  ~ l1_lattices(v29) |  ? [v32] : (u1_lattices(v29) = v32 & m2_relset_1(v32, v31, v30) & v1_funct_2(v32, v31, v30) & v1_funct_1(v32))) &  ! [v29] :  ! [v30] :  ! [v31] : ( ~ (k2_zfmisc_1(v30, v30) = v31) |  ~ (u1_struct_0(v29) = v30) |  ~ l2_lattices(v29) |  ? [v32] : (u2_lattices(v29) = v32 & m2_relset_1(v32, v31, v30) & v1_funct_2(v32, v31, v30) & v1_funct_1(v32))) &  ! [v29] :  ! [v30] :  ! [v31] : ( ~ (k2_zfmisc_1(v29, v30) = v31) |  ~ v1_xboole_0(v31) | v1_xboole_0(v30) | v1_xboole_0(v29)) &  ! [v29] :  ! [v30] :  ! [v31] : ( ~ (k1_zfmisc_1(v30) = v31) |  ~ r1_tarski(v29, v30) | m1_subset_1(v29, v31)) &  ! [v29] :  ! [v30] :  ! [v31] : ( ~ (k1_zfmisc_1(v30) = v31) |  ~ m1_subset_1(v29, v31) | r1_tarski(v29, v30)) &  ! [v29] :  ! [v30] :  ! [v31] : ( ~ m2_relset_1(v31, v29, v30) | m1_relset_1(v31, v29, v30)) &  ! [v29] :  ! [v30] :  ! [v31] : ( ~ m1_relset_1(v31, v29, v30) | m2_relset_1(v31, v29, v30)) &  ! [v29] :  ! [v30] : (v30 = v29 |  ~ v1_xboole_0(v30) |  ~ v1_xboole_0(v29)) &  ! [v29] :  ! [v30] : ( ~ (k1_tarski(v29) = v30) |  ~ v1_xboole_0(v30)) &  ! [v29] :  ! [v30] : ( ~ (k1_tarski(v29) = v30) | v1_finset_1(v30)) &  ! [v29] :  ! [v30] : ( ~ (k1_tarski(v29) = v30) | v1_realset1(v30)) &  ! [v29] :  ! [v30] : ( ~ (k1_zfmisc_1(v29) = v30) |  ~ v1_xboole_0(v30)) &  ! [v29] :  ! [v30] : ( ~ (k1_zfmisc_1(v29) = v30) | v1_xboole_0(v29) |  ? [v31] : (m1_subset_1(v31, v30) &  ~ v1_xboole_0(v31))) &  ! [v29] :  ! [v30] : ( ~ (k1_zfmisc_1(v29) = v30) |  ? [v31] : (v1_xboole_0(v31) & m1_subset_1(v31, v30))) &  ! [v29] :  ! [v30] : ( ~ (u1_struct_0(v29) = v30) |  ~ l1_struct_0(v29) |  ~ v1_xboole_0(v30) | v3_struct_0(v29)) &  ! [v29] :  ! [v30] : ( ~ (u1_struct_0(v29) = v30) |  ~ l1_struct_0(v29) | v3_struct_0(v29) |  ? [v31] :  ? [v32] : (k1_zfmisc_1(v30) = v31 & m1_subset_1(v32, v31) &  ~ v1_xboole_0(v32))) &  ! [v29] :  ! [v30] : ( ~ (u1_struct_0(v29) = v30) |  ~ l1_lattices(v29) | v3_struct_0(v29) |  ? [v31] : (u1_lattices(v29) = v31 &  ! [v32] :  ! [v33] :  ! [v34] : ( ~ (k2_lattices(v29, v32, v33) = v34) |  ~ m1_subset_1(v33, v30) |  ~ m1_subset_1(v32, v30) | k2_binop_1(v30, v30, v30, v31, v32, v33) = v34) &  ! [v32] :  ! [v33] :  ! [v34] : ( ~ (k2_binop_1(v30, v30, v30, v31, v32, v33) = v34) |  ~ m1_subset_1(v33, v30) |  ~ m1_subset_1(v32, v30) | k2_lattices(v29, v32, v33) = v34))) &  ! [v29] :  ! [v30] : ( ~ (u1_struct_0(v29) = v30) |  ~ l1_lattices(v29) |  ? [v31] :  ? [v32] : (k2_zfmisc_1(v30, v30) = v32 & u1_lattices(v29) = v31 & m2_relset_1(v31, v32, v30) & v1_funct_2(v31, v32, v30) & v1_funct_1(v31))) &  ! [v29] :  ! [v30] : ( ~ (u1_struct_0(v29) = v30) |  ~ l2_lattices(v29) | v3_struct_0(v29) |  ? [v31] : (u2_lattices(v29) = v31 &  ! [v32] :  ! [v33] :  ! [v34] : ( ~ (k1_lattices(v29, v32, v33) = v34) |  ~ m1_subset_1(v33, v30) |  ~ m1_subset_1(v32, v30) | k2_binop_1(v30, v30, v30, v31, v32, v33) = v34) &  ! [v32] :  ! [v33] :  ! [v34] : ( ~ (k2_binop_1(v30, v30, v30, v31, v32, v33) = v34) |  ~ m1_subset_1(v33, v30) |  ~ m1_subset_1(v32, v30) | k1_lattices(v29, v32, v33) = v34))) &  ! [v29] :  ! [v30] : ( ~ (u1_struct_0(v29) = v30) |  ~ l2_lattices(v29) |  ? [v31] :  ? [v32] : (k2_zfmisc_1(v30, v30) = v32 & u2_lattices(v29) = v31 & m2_relset_1(v31, v32, v30) & v1_funct_2(v31, v32, v30) & v1_funct_1(v31))) &  ! [v29] :  ! [v30] : ( ~ (u2_lattices(v29) = v30) |  ~ l2_lattices(v29) | v1_funct_1(v30)) &  ! [v29] :  ! [v30] : ( ~ (u2_lattices(v29) = v30) |  ~ l2_lattices(v29) | v3_struct_0(v29) |  ? [v31] : (u1_struct_0(v29) = v31 &  ! [v32] :  ! [v33] :  ! [v34] : ( ~ (k1_lattices(v29, v32, v33) = v34) |  ~ m1_subset_1(v33, v31) |  ~ m1_subset_1(v32, v31) | k2_binop_1(v31, v31, v31, v30, v32, v33) = v34) &  ! [v32] :  ! [v33] :  ! [v34] : ( ~ (k2_binop_1(v31, v31, v31, v30, v32, v33) = v34) |  ~ m1_subset_1(v33, v31) |  ~ m1_subset_1(v32, v31) | k1_lattices(v29, v32, v33) = v34))) &  ! [v29] :  ! [v30] : ( ~ (u2_lattices(v29) = v30) |  ~ l2_lattices(v29) |  ? [v31] :  ? [v32] : (k2_zfmisc_1(v31, v31) = v32 & u1_struct_0(v29) = v31 & m2_relset_1(v30, v32, v31) & v1_funct_2(v30, v32, v31))) &  ! [v29] :  ! [v30] : ( ~ (u1_lattices(v29) = v30) |  ~ l1_lattices(v29) | v1_funct_1(v30)) &  ! [v29] :  ! [v30] : ( ~ (u1_lattices(v29) = v30) |  ~ l1_lattices(v29) | v3_struct_0(v29) |  ? [v31] : (u1_struct_0(v29) = v31 &  ! [v32] :  ! [v33] :  ! [v34] : ( ~ (k2_lattices(v29, v32, v33) = v34) |  ~ m1_subset_1(v33, v31) |  ~ m1_subset_1(v32, v31) | k2_binop_1(v31, v31, v31, v30, v32, v33) = v34) &  ! [v32] :  ! [v33] :  ! [v34] : ( ~ (k2_binop_1(v31, v31, v31, v30, v32, v33) = v34) |  ~ m1_subset_1(v33, v31) |  ~ m1_subset_1(v32, v31) | k2_lattices(v29, v32, v33) = v34))) &  ! [v29] :  ! [v30] : ( ~ (u1_lattices(v29) = v30) |  ~ l1_lattices(v29) |  ? [v31] :  ? [v32] : (k2_zfmisc_1(v31, v31) = v32 & u1_struct_0(v29) = v31 & m2_relset_1(v30, v32, v31) & v1_funct_2(v30, v32, v31))) &  ! [v29] :  ! [v30] : ( ~ v1_xboole_0(v30) |  ~ r2_hidden(v29, v30)) &  ! [v29] :  ! [v30] : ( ~ r2_hidden(v30, v29) |  ~ r2_hidden(v29, v30)) &  ! [v29] :  ! [v30] : ( ~ r2_hidden(v29, v30) | m1_subset_1(v29, v30)) &  ! [v29] :  ! [v30] : ( ~ m1_subset_1(v29, v30) | v1_xboole_0(v30) | r2_hidden(v29, v30)) &  ! [v29] : (v29 = k1_xboole_0 |  ~ v1_xboole_0(v29)) &  ! [v29] : ( ~ l1_lattices(v29) | l1_struct_0(v29)) &  ! [v29] : ( ~ l2_lattices(v29) | l1_struct_0(v29)) &  ! [v29] : ( ~ v1_relat_1(v29) |  ~ v1_funct_1(v29) |  ~ v1_xboole_0(v29) | v2_funct_1(v29)) &  ! [v29] : ( ~ v1_xboole_0(v29) | v1_realset1(v29)) &  ! [v29] : ( ~ v1_xboole_0(v29) | v1_funct_1(v29)) &  ! [v29] : ( ~ l3_lattices(v29) | l1_lattices(v29)) &  ! [v29] : ( ~ l3_lattices(v29) | l2_lattices(v29)) &  ? [v29] :  ? [v30] :  ? [v31] : m2_relset_1(v31, v29, v30) &  ? [v29] :  ? [v30] :  ? [v31] : m1_relset_1(v31, v29, v30) &  ? [v29] :  ? [v30] : m1_subset_1(v30, v29) &  ? [v29] : r1_tarski(v29, v29) & ( ~ (v14 = v12) |  ~ (v13 = v11) | (r1_lattices(v5, v9, v10) &  ~ r1_lattices(v0, v9, v10)) | (r1_lattices(v0, v9, v10) &  ~ r1_lattices(v5, v9, v10))))
% 9.34/2.76  | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18, all_0_19_19, all_0_20_20, all_0_21_21, all_0_22_22, all_0_23_23, all_0_24_24, all_0_25_25, all_0_26_26, all_0_27_27, all_0_28_28 yields:
% 9.34/2.76  | (1) k2_lattices(all_0_23_23, all_0_19_19, all_0_18_18) = all_0_14_14 & k2_lattices(all_0_28_28, all_0_19_19, all_0_18_18) = all_0_16_16 & k1_lattices(all_0_23_23, all_0_19_19, all_0_18_18) = all_0_15_15 & k1_lattices(all_0_28_28, all_0_19_19, all_0_18_18) = all_0_17_17 & u1_struct_0(all_0_23_23) = all_0_22_22 & u1_struct_0(all_0_28_28) = all_0_27_27 & u2_lattices(all_0_23_23) = all_0_21_21 & u2_lattices(all_0_28_28) = all_0_26_26 & u1_lattices(all_0_23_23) = all_0_20_20 & u1_lattices(all_0_28_28) = all_0_25_25 & g3_lattices(all_0_22_22, all_0_21_21, all_0_20_20) = all_0_24_24 & g3_lattices(all_0_27_27, all_0_26_26, all_0_25_25) = all_0_24_24 & l1_struct_0(all_0_1_1) & l1_struct_0(all_0_12_12) & l1_lattices(all_0_0_0) & l2_lattices(all_0_2_2) & v2_funct_1(all_0_10_10) & v1_relat_1(all_0_4_4) & v1_relat_1(all_0_7_7) & v1_relat_1(all_0_10_10) & v1_realset1(all_0_5_5) & v1_funct_1(all_0_4_4) & v1_funct_1(all_0_7_7) & v1_funct_1(all_0_10_10) & v1_xboole_0(all_0_6_6) & v1_xboole_0(all_0_7_7) & v1_xboole_0(k1_xboole_0) & v3_lattices(all_0_11_11) & v3_lattices(all_0_13_13) & m1_subset_1(all_0_18_18, all_0_22_22) & m1_subset_1(all_0_18_18, all_0_27_27) & m1_subset_1(all_0_19_19, all_0_22_22) & m1_subset_1(all_0_19_19, all_0_27_27) & l3_lattices(all_0_3_3) & l3_lattices(all_0_11_11) & l3_lattices(all_0_13_13) & l3_lattices(all_0_23_23) & l3_lattices(all_0_28_28) &  ~ v1_realset1(all_0_8_8) &  ~ v1_xboole_0(all_0_5_5) &  ~ v1_xboole_0(all_0_8_8) &  ~ v1_xboole_0(all_0_9_9) &  ~ v3_struct_0(all_0_12_12) &  ~ v3_struct_0(all_0_13_13) &  ~ v3_struct_0(all_0_23_23) &  ~ v3_struct_0(all_0_28_28) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v1 = v0 |  ~ (k2_binop_1(v7, v6, v5, v4, v3, v2) = v1) |  ~ (k2_binop_1(v7, v6, v5, v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = v2 |  ~ (g3_lattices(v4, v5, v6) = v3) |  ~ (g3_lattices(v0, v1, v2) = v3) |  ~ v1_funct_1(v2) |  ~ v1_funct_1(v1) |  ? [v7] : (k2_zfmisc_1(v0, v0) = v7 & ( ~ m1_relset_1(v2, v7, v0) |  ~ m1_relset_1(v1, v7, v0) |  ~ v1_funct_2(v2, v7, v0) |  ~ v1_funct_2(v1, v7, v0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v5 = v1 |  ~ (g3_lattices(v4, v5, v6) = v3) |  ~ (g3_lattices(v0, v1, v2) = v3) |  ~ v1_funct_1(v2) |  ~ v1_funct_1(v1) |  ? [v7] : (k2_zfmisc_1(v0, v0) = v7 & ( ~ m1_relset_1(v2, v7, v0) |  ~ m1_relset_1(v1, v7, v0) |  ~ v1_funct_2(v2, v7, v0) |  ~ v1_funct_2(v1, v7, v0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = v0 |  ~ (g3_lattices(v4, v5, v6) = v3) |  ~ (g3_lattices(v0, v1, v2) = v3) |  ~ v1_funct_1(v2) |  ~ v1_funct_1(v1) |  ? [v7] : (k2_zfmisc_1(v0, v0) = v7 & ( ~ m1_relset_1(v2, v7, v0) |  ~ m1_relset_1(v1, v7, v0) |  ~ v1_funct_2(v2, v7, v0) |  ~ v1_funct_2(v1, v7, v0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (k2_binop_1(v0, v1, v2, v3, v4, v5) = v6) |  ~ v1_funct_1(v3) |  ~ m1_subset_1(v5, v1) |  ~ m1_subset_1(v4, v0) | v1_xboole_0(v1) | v1_xboole_0(v0) | m1_subset_1(v6, v2) |  ? [v7] : (k2_zfmisc_1(v0, v1) = v7 & ( ~ m1_relset_1(v3, v7, v2) |  ~ v1_funct_2(v3, v7, v2)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (k2_binop_1(v0, v1, v2, v3, v4, v5) = v6) |  ~ v1_funct_1(v3) |  ~ m1_subset_1(v5, v1) |  ~ m1_subset_1(v4, v0) | v1_xboole_0(v1) | v1_xboole_0(v0) |  ? [v7] :  ? [v8] : (k1_binop_1(v3, v4, v5) = v8 & k2_zfmisc_1(v0, v1) = v7 & (v8 = v6 |  ~ m1_relset_1(v3, v7, v2) |  ~ v1_funct_2(v3, v7, v2)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v3 |  ~ (k1_lattices(v0, v2, v3) = v4) |  ~ (u1_struct_0(v0) = v1) |  ~ l2_lattices(v0) |  ~ r1_lattices(v0, v2, v3) |  ~ m1_subset_1(v3, v1) |  ~ m1_subset_1(v2, v1) | v3_struct_0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v0 |  ~ (u1_struct_0(v0) = v1) |  ~ (u2_lattices(v0) = v2) |  ~ (u1_lattices(v0) = v3) |  ~ (g3_lattices(v1, v2, v3) = v4) |  ~ v3_lattices(v0) |  ~ l3_lattices(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (k2_lattices(v4, v3, v2) = v1) |  ~ (k2_lattices(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (k1_lattices(v4, v3, v2) = v1) |  ~ (k1_lattices(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (k1_binop_1(v4, v3, v2) = v1) |  ~ (k1_binop_1(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (g3_lattices(v4, v3, v2) = v1) |  ~ (g3_lattices(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (k1_tarski(v0) = v3) |  ~ (k2_tarski(v2, v3) = v4) |  ~ (k2_tarski(v0, v1) = v2) | k4_tarski(v0, v1) = v4) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (k4_tarski(v1, v2) = v3) |  ~ (k1_funct_1(v0, v3) = v4) |  ~ v1_relat_1(v0) |  ~ v1_funct_1(v0) | k1_binop_1(v0, v1, v2) = v4) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k4_tarski(v3, v2) = v1) |  ~ (k4_tarski(v3, v2) = v0)) &  ! [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_tarski(v3, v2) = v1) |  ~ (k2_tarski(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_lattices(v0, v1, v2) = v3) |  ~ l1_lattices(v0) | v3_struct_0(v0) |  ? [v4] : (u1_struct_0(v0) = v4 & ( ~ m1_subset_1(v2, v4) |  ~ m1_subset_1(v1, v4) | m1_subset_1(v3, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_lattices(v0, v2, v3) = v3) |  ~ (u1_struct_0(v0) = v1) |  ~ l2_lattices(v0) |  ~ m1_subset_1(v3, v1) |  ~ m1_subset_1(v2, v1) | r1_lattices(v0, v2, v3) | v3_struct_0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_lattices(v0, v1, v2) = v3) |  ~ l2_lattices(v0) | v3_struct_0(v0) |  ? [v4] : (u1_struct_0(v0) = v4 & ( ~ m1_subset_1(v2, v4) |  ~ m1_subset_1(v1, v4) | m1_subset_1(v3, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_binop_1(v0, v1, v2) = v3) |  ~ v1_relat_1(v0) |  ~ v1_funct_1(v0) |  ? [v4] : (k4_tarski(v1, v2) = v4 & k1_funct_1(v0, v4) = v3)) &  ! [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] : ( ~ (g3_lattices(v0, v1, v2) = v3) |  ~ v1_funct_1(v2) |  ~ v1_funct_1(v1) |  ~ v3_struct_0(v3) | v1_xboole_0(v0) |  ? [v4] : (k2_zfmisc_1(v0, v0) = v4 & ( ~ m1_relset_1(v2, v4, v0) |  ~ m1_relset_1(v1, v4, v0) |  ~ v1_funct_2(v2, v4, v0) |  ~ v1_funct_2(v1, v4, v0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (g3_lattices(v0, v1, v2) = v3) |  ~ v1_funct_1(v2) |  ~ v1_funct_1(v1) | v1_xboole_0(v0) | v3_lattices(v3) |  ? [v4] : (k2_zfmisc_1(v0, v0) = v4 & ( ~ m1_relset_1(v2, v4, v0) |  ~ m1_relset_1(v1, v4, v0) |  ~ v1_funct_2(v2, v4, v0) |  ~ v1_funct_2(v1, v4, v0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (g3_lattices(v0, v1, v2) = v3) |  ~ v1_funct_1(v2) |  ~ v1_funct_1(v1) | v3_lattices(v3) |  ? [v4] : (k2_zfmisc_1(v0, v0) = v4 & ( ~ m1_relset_1(v2, v4, v0) |  ~ m1_relset_1(v1, v4, v0) |  ~ v1_funct_2(v2, v4, v0) |  ~ v1_funct_2(v1, v4, v0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (g3_lattices(v0, v1, v2) = v3) |  ~ v1_funct_1(v2) |  ~ v1_funct_1(v1) | l3_lattices(v3) |  ? [v4] : (k2_zfmisc_1(v0, v0) = v4 & ( ~ m1_relset_1(v2, v4, v0) |  ~ m1_relset_1(v1, v4, v0) |  ~ v1_funct_2(v2, v4, v0) |  ~ v1_funct_2(v1, v4, v0)))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k2_zfmisc_1(v1, v2) = v3) | v1_relat_1(v0) |  ? [v4] : (k1_zfmisc_1(v3) = v4 &  ~ m1_subset_1(v0, v4))) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k1_tarski(v2) = v1) |  ~ (k1_tarski(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k1_zfmisc_1(v2) = v1) |  ~ (k1_zfmisc_1(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (u1_struct_0(v2) = v1) |  ~ (u1_struct_0(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (u2_lattices(v2) = v1) |  ~ (u2_lattices(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (u1_lattices(v2) = v1) |  ~ (u1_lattices(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_tarski(v0, v1) = v2) |  ? [v3] :  ? [v4] : (k1_tarski(v0) = v4 & k2_tarski(v3, v4) = v2 & k2_tarski(v0, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_tarski(v1, v0) = v2) | k2_tarski(v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) |  ~ v1_xboole_0(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | k2_tarski(v1, v0) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_zfmisc_1(v1, v1) = v2) |  ~ (u1_struct_0(v0) = v1) |  ~ l1_lattices(v0) |  ? [v3] : (u1_lattices(v0) = v3 & m2_relset_1(v3, v2, v1) & v1_funct_2(v3, v2, v1) & v1_funct_1(v3))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_zfmisc_1(v1, v1) = v2) |  ~ (u1_struct_0(v0) = v1) |  ~ l2_lattices(v0) |  ? [v3] : (u2_lattices(v0) = v3 & m2_relset_1(v3, v2, v1) & v1_funct_2(v3, v2, v1) & v1_funct_1(v3))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_zfmisc_1(v0, v1) = v2) |  ~ v1_xboole_0(v2) | v1_xboole_0(v1) | v1_xboole_0(v0)) &  ! [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] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ v1_xboole_0(v1) |  ~ v1_xboole_0(v0)) &  ! [v0] :  ! [v1] : ( ~ (k1_tarski(v0) = v1) |  ~ v1_xboole_0(v1)) &  ! [v0] :  ! [v1] : ( ~ (k1_tarski(v0) = v1) | v1_finset_1(v1)) &  ! [v0] :  ! [v1] : ( ~ (k1_tarski(v0) = v1) | v1_realset1(v1)) &  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v1_xboole_0(v1)) &  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_xboole_0(v0) |  ? [v2] : (m1_subset_1(v2, v1) &  ~ v1_xboole_0(v2))) &  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) |  ? [v2] : (v1_xboole_0(v2) & m1_subset_1(v2, v1))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_struct_0(v0) |  ~ v1_xboole_0(v1) | v3_struct_0(v0)) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_struct_0(v0) | v3_struct_0(v0) |  ? [v2] :  ? [v3] : (k1_zfmisc_1(v1) = v2 & m1_subset_1(v3, v2) &  ~ v1_xboole_0(v3))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_lattices(v0) | v3_struct_0(v0) |  ? [v2] : (u1_lattices(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k2_lattices(v0, v3, v4) = v5) |  ~ m1_subset_1(v4, v1) |  ~ m1_subset_1(v3, v1) | k2_binop_1(v1, v1, v1, v2, v3, v4) = v5) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k2_binop_1(v1, v1, v1, v2, v3, v4) = v5) |  ~ m1_subset_1(v4, v1) |  ~ m1_subset_1(v3, v1) | k2_lattices(v0, v3, v4) = v5))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_lattices(v0) |  ? [v2] :  ? [v3] : (k2_zfmisc_1(v1, v1) = v3 & u1_lattices(v0) = v2 & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(v2))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l2_lattices(v0) | v3_struct_0(v0) |  ? [v2] : (u2_lattices(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k1_lattices(v0, v3, v4) = v5) |  ~ m1_subset_1(v4, v1) |  ~ m1_subset_1(v3, v1) | k2_binop_1(v1, v1, v1, v2, v3, v4) = v5) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k2_binop_1(v1, v1, v1, v2, v3, v4) = v5) |  ~ m1_subset_1(v4, v1) |  ~ m1_subset_1(v3, v1) | k1_lattices(v0, v3, v4) = v5))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l2_lattices(v0) |  ? [v2] :  ? [v3] : (k2_zfmisc_1(v1, v1) = v3 & u2_lattices(v0) = v2 & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(v2))) &  ! [v0] :  ! [v1] : ( ~ (u2_lattices(v0) = v1) |  ~ l2_lattices(v0) | v1_funct_1(v1)) &  ! [v0] :  ! [v1] : ( ~ (u2_lattices(v0) = v1) |  ~ l2_lattices(v0) | v3_struct_0(v0) |  ? [v2] : (u1_struct_0(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k1_lattices(v0, v3, v4) = v5) |  ~ m1_subset_1(v4, v2) |  ~ m1_subset_1(v3, v2) | k2_binop_1(v2, v2, v2, v1, v3, v4) = v5) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k2_binop_1(v2, v2, v2, v1, v3, v4) = v5) |  ~ m1_subset_1(v4, v2) |  ~ m1_subset_1(v3, v2) | k1_lattices(v0, v3, v4) = v5))) &  ! [v0] :  ! [v1] : ( ~ (u2_lattices(v0) = v1) |  ~ l2_lattices(v0) |  ? [v2] :  ? [v3] : (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) = v2 & m2_relset_1(v1, v3, v2) & v1_funct_2(v1, v3, v2))) &  ! [v0] :  ! [v1] : ( ~ (u1_lattices(v0) = v1) |  ~ l1_lattices(v0) | v1_funct_1(v1)) &  ! [v0] :  ! [v1] : ( ~ (u1_lattices(v0) = v1) |  ~ l1_lattices(v0) | v3_struct_0(v0) |  ? [v2] : (u1_struct_0(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k2_lattices(v0, v3, v4) = v5) |  ~ m1_subset_1(v4, v2) |  ~ m1_subset_1(v3, v2) | k2_binop_1(v2, v2, v2, v1, v3, v4) = v5) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k2_binop_1(v2, v2, v2, v1, v3, v4) = v5) |  ~ m1_subset_1(v4, v2) |  ~ m1_subset_1(v3, v2) | k2_lattices(v0, v3, v4) = v5))) &  ! [v0] :  ! [v1] : ( ~ (u1_lattices(v0) = v1) |  ~ l1_lattices(v0) |  ? [v2] :  ? [v3] : (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) = v2 & m2_relset_1(v1, v3, v2) & v1_funct_2(v1, v3, v2))) &  ! [v0] :  ! [v1] : ( ~ v1_xboole_0(v1) |  ~ r2_hidden(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ 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] : ( ~ l1_lattices(v0) | l1_struct_0(v0)) &  ! [v0] : ( ~ l2_lattices(v0) | l1_struct_0(v0)) &  ! [v0] : ( ~ v1_relat_1(v0) |  ~ v1_funct_1(v0) |  ~ v1_xboole_0(v0) | v2_funct_1(v0)) &  ! [v0] : ( ~ v1_xboole_0(v0) | v1_realset1(v0)) &  ! [v0] : ( ~ v1_xboole_0(v0) | v1_funct_1(v0)) &  ! [v0] : ( ~ l3_lattices(v0) | l1_lattices(v0)) &  ! [v0] : ( ~ l3_lattices(v0) | l2_lattices(v0)) &  ? [v0] :  ? [v1] :  ? [v2] : m2_relset_1(v2, v0, v1) &  ? [v0] :  ? [v1] :  ? [v2] : m1_relset_1(v2, v0, v1) &  ? [v0] :  ? [v1] : m1_subset_1(v1, v0) &  ? [v0] : r1_tarski(v0, v0) & ( ~ (all_0_14_14 = all_0_16_16) |  ~ (all_0_15_15 = all_0_17_17) | (r1_lattices(all_0_23_23, all_0_19_19, all_0_18_18) &  ~ r1_lattices(all_0_28_28, all_0_19_19, all_0_18_18)) | (r1_lattices(all_0_28_28, all_0_19_19, all_0_18_18) &  ~ r1_lattices(all_0_23_23, all_0_19_19, all_0_18_18)))
% 9.34/2.78  |
% 9.34/2.78  | Applying alpha-rule on (1) yields:
% 9.34/2.78  | (2)  ~ v1_xboole_0(all_0_5_5)
% 9.34/2.78  | (3)  ? [v0] : r1_tarski(v0, v0)
% 9.34/2.78  | (4)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1))
% 9.34/2.78  | (5)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1))
% 9.34/2.78  | (6) m1_subset_1(all_0_19_19, all_0_22_22)
% 9.34/2.78  | (7)  ! [v0] :  ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1))
% 9.34/2.78  | (8)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v1 = v0 |  ~ (k2_binop_1(v7, v6, v5, v4, v3, v2) = v1) |  ~ (k2_binop_1(v7, v6, v5, v4, v3, v2) = v0))
% 9.34/2.78  | (9)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k2_tarski(v3, v2) = v1) |  ~ (k2_tarski(v3, v2) = v0))
% 9.34/2.78  | (10)  ! [v0] :  ! [v1] : ( ~ (u1_lattices(v0) = v1) |  ~ l1_lattices(v0) | v3_struct_0(v0) |  ? [v2] : (u1_struct_0(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k2_lattices(v0, v3, v4) = v5) |  ~ m1_subset_1(v4, v2) |  ~ m1_subset_1(v3, v2) | k2_binop_1(v2, v2, v2, v1, v3, v4) = v5) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k2_binop_1(v2, v2, v2, v1, v3, v4) = v5) |  ~ m1_subset_1(v4, v2) |  ~ m1_subset_1(v3, v2) | k2_lattices(v0, v3, v4) = v5)))
% 9.34/2.78  | (11) g3_lattices(all_0_27_27, all_0_26_26, all_0_25_25) = all_0_24_24
% 9.34/2.78  | (12) v1_relat_1(all_0_10_10)
% 9.34/2.78  | (13)  ~ v3_struct_0(all_0_23_23)
% 9.34/2.78  | (14)  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) |  ? [v2] : (v1_xboole_0(v2) & m1_subset_1(v2, v1)))
% 9.34/2.78  | (15) k1_lattices(all_0_28_28, all_0_19_19, all_0_18_18) = all_0_17_17
% 9.34/2.78  | (16) v3_lattices(all_0_11_11)
% 9.34/2.78  | (17)  ! [v0] :  ! [v1] : ( ~ (u2_lattices(v0) = v1) |  ~ l2_lattices(v0) |  ? [v2] :  ? [v3] : (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) = v2 & m2_relset_1(v1, v3, v2) & v1_funct_2(v1, v3, v2)))
% 9.34/2.78  | (18)  ~ v1_xboole_0(all_0_9_9)
% 9.34/2.78  | (19) g3_lattices(all_0_22_22, all_0_21_21, all_0_20_20) = all_0_24_24
% 9.34/2.79  | (20)  ! [v0] :  ! [v1] : ( ~ (k1_tarski(v0) = v1) |  ~ v1_xboole_0(v1))
% 9.34/2.79  | (21)  ? [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)))
% 9.34/2.79  | (22)  ~ v3_struct_0(all_0_28_28)
% 9.34/2.79  | (23)  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_xboole_0(v0) |  ? [v2] : (m1_subset_1(v2, v1) &  ~ v1_xboole_0(v2)))
% 9.34/2.79  | (24) l1_struct_0(all_0_1_1)
% 9.34/2.79  | (25)  ! [v0] :  ! [v1] : ( ~ (u2_lattices(v0) = v1) |  ~ l2_lattices(v0) | v1_funct_1(v1))
% 9.34/2.79  | (26) l3_lattices(all_0_3_3)
% 9.34/2.79  | (27) v1_funct_1(all_0_4_4)
% 9.34/2.79  | (28)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k4_tarski(v0, v1) = v2) |  ? [v3] :  ? [v4] : (k1_tarski(v0) = v4 & k2_tarski(v3, v4) = v2 & k2_tarski(v0, v1) = v3))
% 9.34/2.79  | (29)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) |  ~ v1_xboole_0(v2))
% 9.34/2.79  | (30)  ! [v0] :  ! [v1] : ( ~ (u1_lattices(v0) = v1) |  ~ l1_lattices(v0) |  ? [v2] :  ? [v3] : (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) = v2 & m2_relset_1(v1, v3, v2) & v1_funct_2(v1, v3, v2)))
% 9.34/2.79  | (31)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_zfmisc_1(v0, v1) = v2) |  ~ v1_xboole_0(v2) | v1_xboole_0(v1) | v1_xboole_0(v0))
% 9.34/2.79  | (32)  ? [v0] :  ? [v1] :  ? [v2] : m1_relset_1(v2, v0, v1)
% 9.34/2.79  | (33) u1_lattices(all_0_23_23) = all_0_20_20
% 9.34/2.79  | (34) v3_lattices(all_0_13_13)
% 9.34/2.79  | (35) u2_lattices(all_0_23_23) = all_0_21_21
% 9.34/2.79  | (36) v1_relat_1(all_0_7_7)
% 9.34/2.79  | (37)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) |  ~ r2_hidden(v0, v1) |  ~ m1_subset_1(v1, v3) | m1_subset_1(v0, v2))
% 9.34/2.79  | (38)  ! [v0] : ( ~ v1_xboole_0(v0) | v1_funct_1(v0))
% 9.34/2.79  | (39)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (u1_struct_0(v2) = v1) |  ~ (u1_struct_0(v2) = v0))
% 9.34/2.79  | (40) u1_lattices(all_0_28_28) = all_0_25_25
% 9.34/2.79  | (41) m1_subset_1(all_0_19_19, all_0_27_27)
% 9.34/2.79  | (42) v1_funct_1(all_0_10_10)
% 9.34/2.79  | (43) v1_xboole_0(all_0_6_6)
% 9.34/2.79  | (44)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_zfmisc_1(v1, v1) = v2) |  ~ (u1_struct_0(v0) = v1) |  ~ l2_lattices(v0) |  ? [v3] : (u2_lattices(v0) = v3 & m2_relset_1(v3, v2, v1) & v1_funct_2(v3, v2, v1) & v1_funct_1(v3)))
% 9.34/2.79  | (45)  ~ v3_struct_0(all_0_13_13)
% 9.34/2.79  | (46)  ~ v1_realset1(all_0_8_8)
% 9.34/2.79  | (47)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (g3_lattices(v4, v3, v2) = v1) |  ~ (g3_lattices(v4, v3, v2) = v0))
% 9.34/2.79  | (48)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k2_lattices(v0, v1, v2) = v3) |  ~ l1_lattices(v0) | v3_struct_0(v0) |  ? [v4] : (u1_struct_0(v0) = v4 & ( ~ m1_subset_1(v2, v4) |  ~ m1_subset_1(v1, v4) | m1_subset_1(v3, v4))))
% 9.34/2.79  | (49)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v5 = v1 |  ~ (g3_lattices(v4, v5, v6) = v3) |  ~ (g3_lattices(v0, v1, v2) = v3) |  ~ v1_funct_1(v2) |  ~ v1_funct_1(v1) |  ? [v7] : (k2_zfmisc_1(v0, v0) = v7 & ( ~ m1_relset_1(v2, v7, v0) |  ~ m1_relset_1(v1, v7, v0) |  ~ v1_funct_2(v2, v7, v0) |  ~ v1_funct_2(v1, v7, v0))))
% 9.34/2.79  | (50) u2_lattices(all_0_28_28) = all_0_26_26
% 9.34/2.79  | (51)  ~ v1_xboole_0(all_0_8_8)
% 9.34/2.79  | (52) k2_lattices(all_0_23_23, all_0_19_19, all_0_18_18) = all_0_14_14
% 9.34/2.79  | (53)  ! [v0] : (v0 = k1_xboole_0 |  ~ v1_xboole_0(v0))
% 9.34/2.79  | (54)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (g3_lattices(v0, v1, v2) = v3) |  ~ v1_funct_1(v2) |  ~ v1_funct_1(v1) | v1_xboole_0(v0) | v3_lattices(v3) |  ? [v4] : (k2_zfmisc_1(v0, v0) = v4 & ( ~ m1_relset_1(v2, v4, v0) |  ~ m1_relset_1(v1, v4, v0) |  ~ v1_funct_2(v2, v4, v0) |  ~ v1_funct_2(v1, v4, v0))))
% 9.34/2.79  | (55) k1_lattices(all_0_23_23, all_0_19_19, all_0_18_18) = all_0_15_15
% 9.34/2.79  | (56)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l2_lattices(v0) | v3_struct_0(v0) |  ? [v2] : (u2_lattices(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k1_lattices(v0, v3, v4) = v5) |  ~ m1_subset_1(v4, v1) |  ~ m1_subset_1(v3, v1) | k2_binop_1(v1, v1, v1, v2, v3, v4) = v5) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k2_binop_1(v1, v1, v1, v2, v3, v4) = v5) |  ~ m1_subset_1(v4, v1) |  ~ m1_subset_1(v3, v1) | k1_lattices(v0, v3, v4) = v5)))
% 9.34/2.79  | (57)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (k2_binop_1(v0, v1, v2, v3, v4, v5) = v6) |  ~ v1_funct_1(v3) |  ~ m1_subset_1(v5, v1) |  ~ m1_subset_1(v4, v0) | v1_xboole_0(v1) | v1_xboole_0(v0) | m1_subset_1(v6, v2) |  ? [v7] : (k2_zfmisc_1(v0, v1) = v7 & ( ~ m1_relset_1(v3, v7, v2) |  ~ v1_funct_2(v3, v7, v2))))
% 9.34/2.79  | (58)  ! [v0] : ( ~ l3_lattices(v0) | l1_lattices(v0))
% 9.34/2.79  | (59) k2_lattices(all_0_28_28, all_0_19_19, all_0_18_18) = all_0_16_16
% 9.34/2.79  | (60)  ! [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)))
% 9.34/2.79  | (61)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) |  ~ v1_xboole_0(v2) |  ~ r2_hidden(v0, v1) |  ~ m1_subset_1(v1, v3))
% 9.34/2.80  | (62)  ! [v0] : ( ~ l2_lattices(v0) | l1_struct_0(v0))
% 9.34/2.80  | (63)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (k1_binop_1(v4, v3, v2) = v1) |  ~ (k1_binop_1(v4, v3, v2) = v0))
% 9.34/2.80  | (64)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (u2_lattices(v2) = v1) |  ~ (u2_lattices(v2) = v0))
% 9.34/2.80  | (65)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = v2 |  ~ (g3_lattices(v4, v5, v6) = v3) |  ~ (g3_lattices(v0, v1, v2) = v3) |  ~ v1_funct_1(v2) |  ~ v1_funct_1(v1) |  ? [v7] : (k2_zfmisc_1(v0, v0) = v7 & ( ~ m1_relset_1(v2, v7, v0) |  ~ m1_relset_1(v1, v7, v0) |  ~ v1_funct_2(v2, v7, v0) |  ~ v1_funct_2(v1, v7, v0))))
% 9.34/2.80  | (66)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k2_zfmisc_1(v3, v2) = v1) |  ~ (k2_zfmisc_1(v3, v2) = v0))
% 9.34/2.80  | (67)  ? [v0] :  ? [v1] : m1_subset_1(v1, v0)
% 9.34/2.80  | (68) v1_relat_1(all_0_4_4)
% 9.34/2.80  | (69)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_lattices(v0) |  ? [v2] :  ? [v3] : (k2_zfmisc_1(v1, v1) = v3 & u1_lattices(v0) = v2 & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(v2)))
% 9.34/2.80  | (70)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_struct_0(v0) |  ~ v1_xboole_0(v1) | v3_struct_0(v0))
% 9.34/2.80  | (71) m1_subset_1(all_0_18_18, all_0_22_22)
% 9.34/2.80  | (72) l3_lattices(all_0_13_13)
% 9.34/2.80  | (73)  ! [v0] : ( ~ l3_lattices(v0) | l2_lattices(v0))
% 9.34/2.80  | (74)  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v1_xboole_0(v1))
% 9.34/2.80  | (75) v1_funct_1(all_0_7_7)
% 9.34/2.80  | (76)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (k1_lattices(v4, v3, v2) = v1) |  ~ (k1_lattices(v4, v3, v2) = v0))
% 9.34/2.80  | (77)  ! [v0] :  ! [v1] : ( ~ (u1_lattices(v0) = v1) |  ~ l1_lattices(v0) | v1_funct_1(v1))
% 9.34/2.80  | (78)  ! [v0] :  ! [v1] : ( ~ (u2_lattices(v0) = v1) |  ~ l2_lattices(v0) | v3_struct_0(v0) |  ? [v2] : (u1_struct_0(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k1_lattices(v0, v3, v4) = v5) |  ~ m1_subset_1(v4, v2) |  ~ m1_subset_1(v3, v2) | k2_binop_1(v2, v2, v2, v1, v3, v4) = v5) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k2_binop_1(v2, v2, v2, v1, v3, v4) = v5) |  ~ m1_subset_1(v4, v2) |  ~ m1_subset_1(v3, v2) | k1_lattices(v0, v3, v4) = v5)))
% 9.82/2.80  | (79)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v0 |  ~ (u1_struct_0(v0) = v1) |  ~ (u2_lattices(v0) = v2) |  ~ (u1_lattices(v0) = v3) |  ~ (g3_lattices(v1, v2, v3) = v4) |  ~ v3_lattices(v0) |  ~ l3_lattices(v0))
% 9.82/2.80  | (80)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (k2_lattices(v4, v3, v2) = v1) |  ~ (k2_lattices(v4, v3, v2) = v0))
% 9.82/2.80  | (81)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (g3_lattices(v0, v1, v2) = v3) |  ~ v1_funct_1(v2) |  ~ v1_funct_1(v1) | l3_lattices(v3) |  ? [v4] : (k2_zfmisc_1(v0, v0) = v4 & ( ~ m1_relset_1(v2, v4, v0) |  ~ m1_relset_1(v1, v4, v0) |  ~ v1_funct_2(v2, v4, v0) |  ~ v1_funct_2(v1, v4, v0))))
% 9.82/2.80  | (82)  ! [v0] : ( ~ v1_xboole_0(v0) | v1_realset1(v0))
% 9.82/2.80  | (83)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) |  ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1))
% 9.82/2.80  | (84)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) |  ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2))
% 9.82/2.80  | (85)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (g3_lattices(v0, v1, v2) = v3) |  ~ v1_funct_1(v2) |  ~ v1_funct_1(v1) | v3_lattices(v3) |  ? [v4] : (k2_zfmisc_1(v0, v0) = v4 & ( ~ m1_relset_1(v2, v4, v0) |  ~ m1_relset_1(v1, v4, v0) |  ~ v1_funct_2(v2, v4, v0) |  ~ v1_funct_2(v1, v4, v0))))
% 9.82/2.80  | (86)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (u1_lattices(v2) = v1) |  ~ (u1_lattices(v2) = v0))
% 9.82/2.80  | (87)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ v1_xboole_0(v1) |  ~ v1_xboole_0(v0))
% 9.82/2.80  | (88) l1_struct_0(all_0_12_12)
% 9.82/2.80  | (89)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (k2_binop_1(v0, v1, v2, v3, v4, v5) = v6) |  ~ v1_funct_1(v3) |  ~ m1_subset_1(v5, v1) |  ~ m1_subset_1(v4, v0) | v1_xboole_0(v1) | v1_xboole_0(v0) |  ? [v7] :  ? [v8] : (k1_binop_1(v3, v4, v5) = v8 & k2_zfmisc_1(v0, v1) = v7 & (v8 = v6 |  ~ m1_relset_1(v3, v7, v2) |  ~ v1_funct_2(v3, v7, v2))))
% 9.82/2.80  | (90)  ! [v0] :  ! [v1] : ( ~ v1_xboole_0(v1) |  ~ r2_hidden(v0, v1))
% 9.82/2.80  | (91)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = v0 |  ~ (g3_lattices(v4, v5, v6) = v3) |  ~ (g3_lattices(v0, v1, v2) = v3) |  ~ v1_funct_1(v2) |  ~ v1_funct_1(v1) |  ? [v7] : (k2_zfmisc_1(v0, v0) = v7 & ( ~ m1_relset_1(v2, v7, v0) |  ~ m1_relset_1(v1, v7, v0) |  ~ v1_funct_2(v2, v7, v0) |  ~ v1_funct_2(v1, v7, v0))))
% 9.82/2.80  | (92)  ~ v3_struct_0(all_0_12_12)
% 9.82/2.80  | (93)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (k4_tarski(v1, v2) = v3) |  ~ (k1_funct_1(v0, v3) = v4) |  ~ v1_relat_1(v0) |  ~ v1_funct_1(v0) | k1_binop_1(v0, v1, v2) = v4)
% 9.82/2.80  | (94)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (k1_tarski(v0) = v3) |  ~ (k2_tarski(v2, v3) = v4) |  ~ (k2_tarski(v0, v1) = v2) | k4_tarski(v0, v1) = v4)
% 9.82/2.80  | (95)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k1_tarski(v2) = v1) |  ~ (k1_tarski(v2) = v0))
% 9.82/2.80  | (96)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v3 |  ~ (k1_lattices(v0, v2, v3) = v4) |  ~ (u1_struct_0(v0) = v1) |  ~ l2_lattices(v0) |  ~ r1_lattices(v0, v2, v3) |  ~ m1_subset_1(v3, v1) |  ~ m1_subset_1(v2, v1) | v3_struct_0(v0))
% 9.82/2.80  | (97) u1_struct_0(all_0_23_23) = all_0_22_22
% 9.82/2.80  | (98)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k4_tarski(v3, v2) = v1) |  ~ (k4_tarski(v3, v2) = v0))
% 9.82/2.80  | (99) l3_lattices(all_0_23_23)
% 9.82/2.80  | (100) v2_funct_1(all_0_10_10)
% 9.82/2.80  | (101)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_zfmisc_1(v1, v1) = v2) |  ~ (u1_struct_0(v0) = v1) |  ~ l1_lattices(v0) |  ? [v3] : (u1_lattices(v0) = v3 & m2_relset_1(v3, v2, v1) & v1_funct_2(v3, v2, v1) & v1_funct_1(v3)))
% 9.82/2.81  | (102) l1_lattices(all_0_0_0)
% 9.82/2.81  | (103) l3_lattices(all_0_11_11)
% 9.82/2.81  | (104) l2_lattices(all_0_2_2)
% 9.82/2.81  | (105)  ? [v0] :  ? [v1] :  ? [v2] : m2_relset_1(v2, v0, v1)
% 9.82/2.81  | (106) l3_lattices(all_0_28_28)
% 9.82/2.81  | (107) v1_realset1(all_0_5_5)
% 9.82/2.81  | (108)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_binop_1(v0, v1, v2) = v3) |  ~ v1_relat_1(v0) |  ~ v1_funct_1(v0) |  ? [v4] : (k4_tarski(v1, v2) = v4 & k1_funct_1(v0, v4) = v3))
% 9.82/2.81  | (109) m1_subset_1(all_0_18_18, all_0_27_27)
% 9.82/2.81  | (110)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l2_lattices(v0) |  ? [v2] :  ? [v3] : (k2_zfmisc_1(v1, v1) = v3 & u2_lattices(v0) = v2 & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(v2)))
% 9.82/2.81  | (111)  ! [v0] :  ! [v1] : ( ~ (k1_tarski(v0) = v1) | v1_finset_1(v1))
% 9.82/2.81  | (112) v1_xboole_0(all_0_7_7)
% 9.82/2.81  | (113)  ! [v0] : ( ~ v1_relat_1(v0) |  ~ v1_funct_1(v0) |  ~ v1_xboole_0(v0) | v2_funct_1(v0))
% 9.82/2.81  | (114)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_lattices(v0) | v3_struct_0(v0) |  ? [v2] : (u1_lattices(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k2_lattices(v0, v3, v4) = v5) |  ~ m1_subset_1(v4, v1) |  ~ m1_subset_1(v3, v1) | k2_binop_1(v1, v1, v1, v2, v3, v4) = v5) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (k2_binop_1(v1, v1, v1, v2, v3, v4) = v5) |  ~ m1_subset_1(v4, v1) |  ~ m1_subset_1(v3, v1) | k2_lattices(v0, v3, v4) = v5)))
% 9.82/2.81  | (115) u1_struct_0(all_0_28_28) = all_0_27_27
% 9.82/2.81  | (116)  ! [v0] : ( ~ l1_lattices(v0) | l1_struct_0(v0))
% 9.82/2.81  | (117)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k1_zfmisc_1(v2) = v1) |  ~ (k1_zfmisc_1(v2) = v0))
% 9.82/2.81  | (118) v1_xboole_0(k1_xboole_0)
% 9.82/2.81  | (119)  ! [v0] :  ! [v1] : ( ~ r2_hidden(v1, v0) |  ~ r2_hidden(v0, v1))
% 9.82/2.81  | (120)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_lattices(v0, v2, v3) = v3) |  ~ (u1_struct_0(v0) = v1) |  ~ l2_lattices(v0) |  ~ m1_subset_1(v3, v1) |  ~ m1_subset_1(v2, v1) | r1_lattices(v0, v2, v3) | v3_struct_0(v0))
% 9.82/2.81  | (121)  ~ (all_0_14_14 = all_0_16_16) |  ~ (all_0_15_15 = all_0_17_17) | (r1_lattices(all_0_23_23, all_0_19_19, all_0_18_18) &  ~ r1_lattices(all_0_28_28, all_0_19_19, all_0_18_18)) | (r1_lattices(all_0_28_28, all_0_19_19, all_0_18_18) &  ~ r1_lattices(all_0_23_23, all_0_19_19, all_0_18_18))
% 9.82/2.81  | (122)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k1_funct_1(v3, v2) = v1) |  ~ (k1_funct_1(v3, v2) = v0))
% 9.82/2.81  | (123)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | k2_tarski(v1, v0) = v2)
% 9.82/2.81  | (124)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_tarski(v1, v0) = v2) | k2_tarski(v0, v1) = v2)
% 9.82/2.81  | (125)  ! [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)))
% 9.82/2.81  | (126)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_lattices(v0, v1, v2) = v3) |  ~ l2_lattices(v0) | v3_struct_0(v0) |  ? [v4] : (u1_struct_0(v0) = v4 & ( ~ m1_subset_1(v2, v4) |  ~ m1_subset_1(v1, v4) | m1_subset_1(v3, v4))))
% 9.82/2.81  | (127)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (g3_lattices(v0, v1, v2) = v3) |  ~ v1_funct_1(v2) |  ~ v1_funct_1(v1) |  ~ v3_struct_0(v3) | v1_xboole_0(v0) |  ? [v4] : (k2_zfmisc_1(v0, v0) = v4 & ( ~ m1_relset_1(v2, v4, v0) |  ~ m1_relset_1(v1, v4, v0) |  ~ v1_funct_2(v2, v4, v0) |  ~ v1_funct_2(v1, v4, v0))))
% 9.82/2.81  | (128)  ! [v0] :  ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1))
% 9.82/2.81  | (129)  ! [v0] :  ! [v1] : ( ~ (k1_tarski(v0) = v1) | v1_realset1(v1))
% 9.82/2.81  |
% 9.82/2.81  | Instantiating formula (58) with all_0_23_23 and discharging atoms l3_lattices(all_0_23_23), yields:
% 9.82/2.81  | (130) l1_lattices(all_0_23_23)
% 9.82/2.81  |
% 9.82/2.81  | Instantiating formula (73) with all_0_23_23 and discharging atoms l3_lattices(all_0_23_23), yields:
% 9.82/2.81  | (131) l2_lattices(all_0_23_23)
% 9.82/2.81  |
% 9.82/2.81  | Instantiating formula (58) with all_0_28_28 and discharging atoms l3_lattices(all_0_28_28), yields:
% 9.82/2.81  | (132) l1_lattices(all_0_28_28)
% 9.82/2.81  |
% 9.82/2.81  | Instantiating formula (73) with all_0_28_28 and discharging atoms l3_lattices(all_0_28_28), yields:
% 9.82/2.81  | (133) l2_lattices(all_0_28_28)
% 9.82/2.81  |
% 9.82/2.81  | Instantiating formula (48) with all_0_14_14, all_0_18_18, all_0_19_19, all_0_23_23 and discharging atoms k2_lattices(all_0_23_23, all_0_19_19, all_0_18_18) = all_0_14_14, l1_lattices(all_0_23_23),  ~ v3_struct_0(all_0_23_23), yields:
% 9.82/2.81  | (134)  ? [v0] : (u1_struct_0(all_0_23_23) = v0 & ( ~ m1_subset_1(all_0_18_18, v0) |  ~ m1_subset_1(all_0_19_19, v0) | m1_subset_1(all_0_14_14, v0)))
% 9.82/2.81  |
% 9.82/2.81  | Instantiating formula (114) with all_0_22_22, all_0_23_23 and discharging atoms u1_struct_0(all_0_23_23) = all_0_22_22, l1_lattices(all_0_23_23),  ~ v3_struct_0(all_0_23_23), yields:
% 9.82/2.81  | (135)  ? [v0] : (u1_lattices(all_0_23_23) = v0 &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k2_lattices(all_0_23_23, v1, v2) = v3) |  ~ m1_subset_1(v2, all_0_22_22) |  ~ m1_subset_1(v1, all_0_22_22) | k2_binop_1(all_0_22_22, all_0_22_22, all_0_22_22, v0, v1, v2) = v3) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k2_binop_1(all_0_22_22, all_0_22_22, all_0_22_22, v0, v1, v2) = v3) |  ~ m1_subset_1(v2, all_0_22_22) |  ~ m1_subset_1(v1, all_0_22_22) | k2_lattices(all_0_23_23, v1, v2) = v3))
% 9.82/2.81  |
% 9.82/2.81  | Instantiating formula (69) with all_0_22_22, all_0_23_23 and discharging atoms u1_struct_0(all_0_23_23) = all_0_22_22, l1_lattices(all_0_23_23), yields:
% 9.82/2.81  | (136)  ? [v0] :  ? [v1] : (k2_zfmisc_1(all_0_22_22, all_0_22_22) = v1 & u1_lattices(all_0_23_23) = v0 & m2_relset_1(v0, v1, all_0_22_22) & v1_funct_2(v0, v1, all_0_22_22) & v1_funct_1(v0))
% 9.82/2.81  |
% 9.82/2.81  | Instantiating formula (10) with all_0_20_20, all_0_23_23 and discharging atoms u1_lattices(all_0_23_23) = all_0_20_20, l1_lattices(all_0_23_23),  ~ v3_struct_0(all_0_23_23), yields:
% 9.82/2.82  | (137)  ? [v0] : (u1_struct_0(all_0_23_23) = v0 &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k2_lattices(all_0_23_23, v1, v2) = v3) |  ~ m1_subset_1(v2, v0) |  ~ m1_subset_1(v1, v0) | k2_binop_1(v0, v0, v0, all_0_20_20, v1, v2) = v3) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k2_binop_1(v0, v0, v0, all_0_20_20, v1, v2) = v3) |  ~ m1_subset_1(v2, v0) |  ~ m1_subset_1(v1, v0) | k2_lattices(all_0_23_23, v1, v2) = v3))
% 9.82/2.82  |
% 9.82/2.82  | Instantiating formula (30) with all_0_20_20, all_0_23_23 and discharging atoms u1_lattices(all_0_23_23) = all_0_20_20, l1_lattices(all_0_23_23), yields:
% 9.82/2.82  | (138)  ? [v0] :  ? [v1] : (k2_zfmisc_1(v0, v0) = v1 & u1_struct_0(all_0_23_23) = v0 & m2_relset_1(all_0_20_20, v1, v0) & v1_funct_2(all_0_20_20, v1, v0))
% 9.82/2.82  |
% 9.82/2.82  | Instantiating formula (48) with all_0_16_16, all_0_18_18, all_0_19_19, all_0_28_28 and discharging atoms k2_lattices(all_0_28_28, all_0_19_19, all_0_18_18) = all_0_16_16, l1_lattices(all_0_28_28),  ~ v3_struct_0(all_0_28_28), yields:
% 9.82/2.82  | (139)  ? [v0] : (u1_struct_0(all_0_28_28) = v0 & ( ~ m1_subset_1(all_0_18_18, v0) |  ~ m1_subset_1(all_0_19_19, v0) | m1_subset_1(all_0_16_16, v0)))
% 9.82/2.82  |
% 9.82/2.82  | Instantiating formula (114) with all_0_27_27, all_0_28_28 and discharging atoms u1_struct_0(all_0_28_28) = all_0_27_27, l1_lattices(all_0_28_28),  ~ v3_struct_0(all_0_28_28), yields:
% 9.82/2.82  | (140)  ? [v0] : (u1_lattices(all_0_28_28) = v0 &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k2_lattices(all_0_28_28, v1, v2) = v3) |  ~ m1_subset_1(v2, all_0_27_27) |  ~ m1_subset_1(v1, all_0_27_27) | k2_binop_1(all_0_27_27, all_0_27_27, all_0_27_27, v0, v1, v2) = v3) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k2_binop_1(all_0_27_27, all_0_27_27, all_0_27_27, v0, v1, v2) = v3) |  ~ m1_subset_1(v2, all_0_27_27) |  ~ m1_subset_1(v1, all_0_27_27) | k2_lattices(all_0_28_28, v1, v2) = v3))
% 9.82/2.82  |
% 9.82/2.82  | Instantiating formula (69) with all_0_27_27, all_0_28_28 and discharging atoms u1_struct_0(all_0_28_28) = all_0_27_27, l1_lattices(all_0_28_28), yields:
% 9.82/2.82  | (141)  ? [v0] :  ? [v1] : (k2_zfmisc_1(all_0_27_27, all_0_27_27) = v1 & u1_lattices(all_0_28_28) = v0 & m2_relset_1(v0, v1, all_0_27_27) & v1_funct_2(v0, v1, all_0_27_27) & v1_funct_1(v0))
% 9.82/2.82  |
% 9.82/2.82  | Instantiating formula (10) with all_0_25_25, all_0_28_28 and discharging atoms u1_lattices(all_0_28_28) = all_0_25_25, l1_lattices(all_0_28_28),  ~ v3_struct_0(all_0_28_28), yields:
% 9.82/2.82  | (142)  ? [v0] : (u1_struct_0(all_0_28_28) = v0 &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k2_lattices(all_0_28_28, v1, v2) = v3) |  ~ m1_subset_1(v2, v0) |  ~ m1_subset_1(v1, v0) | k2_binop_1(v0, v0, v0, all_0_25_25, v1, v2) = v3) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k2_binop_1(v0, v0, v0, all_0_25_25, v1, v2) = v3) |  ~ m1_subset_1(v2, v0) |  ~ m1_subset_1(v1, v0) | k2_lattices(all_0_28_28, v1, v2) = v3))
% 9.82/2.82  |
% 9.82/2.82  | Instantiating formula (30) with all_0_25_25, all_0_28_28 and discharging atoms u1_lattices(all_0_28_28) = all_0_25_25, l1_lattices(all_0_28_28), yields:
% 9.82/2.82  | (143)  ? [v0] :  ? [v1] : (k2_zfmisc_1(v0, v0) = v1 & u1_struct_0(all_0_28_28) = v0 & m2_relset_1(all_0_25_25, v1, v0) & v1_funct_2(all_0_25_25, v1, v0))
% 9.82/2.82  |
% 9.82/2.82  | Instantiating formula (126) with all_0_15_15, all_0_18_18, all_0_19_19, all_0_23_23 and discharging atoms k1_lattices(all_0_23_23, all_0_19_19, all_0_18_18) = all_0_15_15, l2_lattices(all_0_23_23),  ~ v3_struct_0(all_0_23_23), yields:
% 9.82/2.82  | (144)  ? [v0] : (u1_struct_0(all_0_23_23) = v0 & ( ~ m1_subset_1(all_0_18_18, v0) |  ~ m1_subset_1(all_0_19_19, v0) | m1_subset_1(all_0_15_15, v0)))
% 9.82/2.82  |
% 9.82/2.82  | Instantiating formula (56) with all_0_22_22, all_0_23_23 and discharging atoms u1_struct_0(all_0_23_23) = all_0_22_22, l2_lattices(all_0_23_23),  ~ v3_struct_0(all_0_23_23), yields:
% 9.82/2.82  | (145)  ? [v0] : (u2_lattices(all_0_23_23) = v0 &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_lattices(all_0_23_23, v1, v2) = v3) |  ~ m1_subset_1(v2, all_0_22_22) |  ~ m1_subset_1(v1, all_0_22_22) | k2_binop_1(all_0_22_22, all_0_22_22, all_0_22_22, v0, v1, v2) = v3) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k2_binop_1(all_0_22_22, all_0_22_22, all_0_22_22, v0, v1, v2) = v3) |  ~ m1_subset_1(v2, all_0_22_22) |  ~ m1_subset_1(v1, all_0_22_22) | k1_lattices(all_0_23_23, v1, v2) = v3))
% 9.82/2.82  |
% 9.82/2.82  | Instantiating formula (110) with all_0_22_22, all_0_23_23 and discharging atoms u1_struct_0(all_0_23_23) = all_0_22_22, l2_lattices(all_0_23_23), yields:
% 9.82/2.82  | (146)  ? [v0] :  ? [v1] : (k2_zfmisc_1(all_0_22_22, all_0_22_22) = v1 & u2_lattices(all_0_23_23) = v0 & m2_relset_1(v0, v1, all_0_22_22) & v1_funct_2(v0, v1, all_0_22_22) & v1_funct_1(v0))
% 9.82/2.82  |
% 9.82/2.82  | Instantiating formula (78) with all_0_21_21, all_0_23_23 and discharging atoms u2_lattices(all_0_23_23) = all_0_21_21, l2_lattices(all_0_23_23),  ~ v3_struct_0(all_0_23_23), yields:
% 9.82/2.82  | (147)  ? [v0] : (u1_struct_0(all_0_23_23) = v0 &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_lattices(all_0_23_23, v1, v2) = v3) |  ~ m1_subset_1(v2, v0) |  ~ m1_subset_1(v1, v0) | k2_binop_1(v0, v0, v0, all_0_21_21, v1, v2) = v3) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k2_binop_1(v0, v0, v0, all_0_21_21, v1, v2) = v3) |  ~ m1_subset_1(v2, v0) |  ~ m1_subset_1(v1, v0) | k1_lattices(all_0_23_23, v1, v2) = v3))
% 9.82/2.82  |
% 9.82/2.82  | Instantiating formula (17) with all_0_21_21, all_0_23_23 and discharging atoms u2_lattices(all_0_23_23) = all_0_21_21, l2_lattices(all_0_23_23), yields:
% 9.82/2.82  | (148)  ? [v0] :  ? [v1] : (k2_zfmisc_1(v0, v0) = v1 & u1_struct_0(all_0_23_23) = v0 & m2_relset_1(all_0_21_21, v1, v0) & v1_funct_2(all_0_21_21, v1, v0))
% 9.82/2.82  |
% 9.82/2.82  | Instantiating formula (126) with all_0_17_17, all_0_18_18, all_0_19_19, all_0_28_28 and discharging atoms k1_lattices(all_0_28_28, all_0_19_19, all_0_18_18) = all_0_17_17, l2_lattices(all_0_28_28),  ~ v3_struct_0(all_0_28_28), yields:
% 9.82/2.82  | (149)  ? [v0] : (u1_struct_0(all_0_28_28) = v0 & ( ~ m1_subset_1(all_0_18_18, v0) |  ~ m1_subset_1(all_0_19_19, v0) | m1_subset_1(all_0_17_17, v0)))
% 9.82/2.82  |
% 9.82/2.82  | Instantiating formula (56) with all_0_27_27, all_0_28_28 and discharging atoms u1_struct_0(all_0_28_28) = all_0_27_27, l2_lattices(all_0_28_28),  ~ v3_struct_0(all_0_28_28), yields:
% 9.82/2.82  | (150)  ? [v0] : (u2_lattices(all_0_28_28) = v0 &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_lattices(all_0_28_28, v1, v2) = v3) |  ~ m1_subset_1(v2, all_0_27_27) |  ~ m1_subset_1(v1, all_0_27_27) | k2_binop_1(all_0_27_27, all_0_27_27, all_0_27_27, v0, v1, v2) = v3) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k2_binop_1(all_0_27_27, all_0_27_27, all_0_27_27, v0, v1, v2) = v3) |  ~ m1_subset_1(v2, all_0_27_27) |  ~ m1_subset_1(v1, all_0_27_27) | k1_lattices(all_0_28_28, v1, v2) = v3))
% 9.82/2.82  |
% 9.82/2.82  | Instantiating formula (110) with all_0_27_27, all_0_28_28 and discharging atoms u1_struct_0(all_0_28_28) = all_0_27_27, l2_lattices(all_0_28_28), yields:
% 9.82/2.82  | (151)  ? [v0] :  ? [v1] : (k2_zfmisc_1(all_0_27_27, all_0_27_27) = v1 & u2_lattices(all_0_28_28) = v0 & m2_relset_1(v0, v1, all_0_27_27) & v1_funct_2(v0, v1, all_0_27_27) & v1_funct_1(v0))
% 9.82/2.82  |
% 9.82/2.82  | Instantiating formula (78) with all_0_26_26, all_0_28_28 and discharging atoms u2_lattices(all_0_28_28) = all_0_26_26, l2_lattices(all_0_28_28),  ~ v3_struct_0(all_0_28_28), yields:
% 9.82/2.82  | (152)  ? [v0] : (u1_struct_0(all_0_28_28) = v0 &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_lattices(all_0_28_28, v1, v2) = v3) |  ~ m1_subset_1(v2, v0) |  ~ m1_subset_1(v1, v0) | k2_binop_1(v0, v0, v0, all_0_26_26, v1, v2) = v3) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k2_binop_1(v0, v0, v0, all_0_26_26, v1, v2) = v3) |  ~ m1_subset_1(v2, v0) |  ~ m1_subset_1(v1, v0) | k1_lattices(all_0_28_28, v1, v2) = v3))
% 9.82/2.82  |
% 9.82/2.82  | Instantiating formula (17) with all_0_26_26, all_0_28_28 and discharging atoms u2_lattices(all_0_28_28) = all_0_26_26, l2_lattices(all_0_28_28), yields:
% 9.82/2.82  | (153)  ? [v0] :  ? [v1] : (k2_zfmisc_1(v0, v0) = v1 & u1_struct_0(all_0_28_28) = v0 & m2_relset_1(all_0_26_26, v1, v0) & v1_funct_2(all_0_26_26, v1, v0))
% 9.82/2.82  |
% 9.82/2.82  | Instantiating (146) with all_29_0_39, all_29_1_40 yields:
% 9.82/2.82  | (154) k2_zfmisc_1(all_0_22_22, all_0_22_22) = all_29_0_39 & u2_lattices(all_0_23_23) = all_29_1_40 & m2_relset_1(all_29_1_40, all_29_0_39, all_0_22_22) & v1_funct_2(all_29_1_40, all_29_0_39, all_0_22_22) & v1_funct_1(all_29_1_40)
% 9.82/2.82  |
% 9.82/2.82  | Applying alpha-rule on (154) yields:
% 9.82/2.82  | (155) u2_lattices(all_0_23_23) = all_29_1_40
% 9.82/2.82  | (156) m2_relset_1(all_29_1_40, all_29_0_39, all_0_22_22)
% 9.82/2.82  | (157) v1_funct_1(all_29_1_40)
% 9.82/2.82  | (158) v1_funct_2(all_29_1_40, all_29_0_39, all_0_22_22)
% 9.82/2.82  | (159) k2_zfmisc_1(all_0_22_22, all_0_22_22) = all_29_0_39
% 9.82/2.82  |
% 9.82/2.82  | Instantiating (145) with all_31_0_41 yields:
% 9.82/2.82  | (160) u2_lattices(all_0_23_23) = all_31_0_41 &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_lattices(all_0_23_23, v0, v1) = v2) |  ~ m1_subset_1(v1, all_0_22_22) |  ~ m1_subset_1(v0, all_0_22_22) | k2_binop_1(all_0_22_22, all_0_22_22, all_0_22_22, all_31_0_41, v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_binop_1(all_0_22_22, all_0_22_22, all_0_22_22, all_31_0_41, v0, v1) = v2) |  ~ m1_subset_1(v1, all_0_22_22) |  ~ m1_subset_1(v0, all_0_22_22) | k1_lattices(all_0_23_23, v0, v1) = v2)
% 9.82/2.82  |
% 9.82/2.82  | Applying alpha-rule on (160) yields:
% 9.82/2.82  | (161) u2_lattices(all_0_23_23) = all_31_0_41
% 9.82/2.82  | (162)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_lattices(all_0_23_23, v0, v1) = v2) |  ~ m1_subset_1(v1, all_0_22_22) |  ~ m1_subset_1(v0, all_0_22_22) | k2_binop_1(all_0_22_22, all_0_22_22, all_0_22_22, all_31_0_41, v0, v1) = v2)
% 9.82/2.82  | (163)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_binop_1(all_0_22_22, all_0_22_22, all_0_22_22, all_31_0_41, v0, v1) = v2) |  ~ m1_subset_1(v1, all_0_22_22) |  ~ m1_subset_1(v0, all_0_22_22) | k1_lattices(all_0_23_23, v0, v1) = v2)
% 9.82/2.82  |
% 9.82/2.82  | Instantiating formula (162) with all_0_15_15, all_0_18_18, all_0_19_19 and discharging atoms k1_lattices(all_0_23_23, all_0_19_19, all_0_18_18) = all_0_15_15, m1_subset_1(all_0_18_18, all_0_22_22), m1_subset_1(all_0_19_19, all_0_22_22), yields:
% 9.82/2.83  | (164) k2_binop_1(all_0_22_22, all_0_22_22, all_0_22_22, all_31_0_41, all_0_19_19, all_0_18_18) = all_0_15_15
% 9.82/2.83  |
% 9.82/2.83  | Instantiating (137) with all_35_0_42 yields:
% 9.82/2.83  | (165) u1_struct_0(all_0_23_23) = all_35_0_42 &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_lattices(all_0_23_23, v0, v1) = v2) |  ~ m1_subset_1(v1, all_35_0_42) |  ~ m1_subset_1(v0, all_35_0_42) | k2_binop_1(all_35_0_42, all_35_0_42, all_35_0_42, all_0_20_20, v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_binop_1(all_35_0_42, all_35_0_42, all_35_0_42, all_0_20_20, v0, v1) = v2) |  ~ m1_subset_1(v1, all_35_0_42) |  ~ m1_subset_1(v0, all_35_0_42) | k2_lattices(all_0_23_23, v0, v1) = v2)
% 9.82/2.83  |
% 9.82/2.83  | Applying alpha-rule on (165) yields:
% 9.82/2.83  | (166) u1_struct_0(all_0_23_23) = all_35_0_42
% 9.82/2.83  | (167)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_lattices(all_0_23_23, v0, v1) = v2) |  ~ m1_subset_1(v1, all_35_0_42) |  ~ m1_subset_1(v0, all_35_0_42) | k2_binop_1(all_35_0_42, all_35_0_42, all_35_0_42, all_0_20_20, v0, v1) = v2)
% 9.82/2.83  | (168)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_binop_1(all_35_0_42, all_35_0_42, all_35_0_42, all_0_20_20, v0, v1) = v2) |  ~ m1_subset_1(v1, all_35_0_42) |  ~ m1_subset_1(v0, all_35_0_42) | k2_lattices(all_0_23_23, v0, v1) = v2)
% 9.82/2.83  |
% 9.82/2.83  | Instantiating (134) with all_38_0_43 yields:
% 9.82/2.83  | (169) u1_struct_0(all_0_23_23) = all_38_0_43 & ( ~ m1_subset_1(all_0_18_18, all_38_0_43) |  ~ m1_subset_1(all_0_19_19, all_38_0_43) | m1_subset_1(all_0_14_14, all_38_0_43))
% 9.82/2.83  |
% 9.82/2.83  | Applying alpha-rule on (169) yields:
% 9.82/2.83  | (170) u1_struct_0(all_0_23_23) = all_38_0_43
% 9.82/2.83  | (171)  ~ m1_subset_1(all_0_18_18, all_38_0_43) |  ~ m1_subset_1(all_0_19_19, all_38_0_43) | m1_subset_1(all_0_14_14, all_38_0_43)
% 9.82/2.83  |
% 9.82/2.83  | Instantiating (149) with all_40_0_44 yields:
% 9.82/2.83  | (172) u1_struct_0(all_0_28_28) = all_40_0_44 & ( ~ m1_subset_1(all_0_18_18, all_40_0_44) |  ~ m1_subset_1(all_0_19_19, all_40_0_44) | m1_subset_1(all_0_17_17, all_40_0_44))
% 9.82/2.83  |
% 9.82/2.83  | Applying alpha-rule on (172) yields:
% 9.82/2.83  | (173) u1_struct_0(all_0_28_28) = all_40_0_44
% 9.82/2.83  | (174)  ~ m1_subset_1(all_0_18_18, all_40_0_44) |  ~ m1_subset_1(all_0_19_19, all_40_0_44) | m1_subset_1(all_0_17_17, all_40_0_44)
% 9.82/2.83  |
% 9.82/2.83  | Instantiating (148) with all_42_0_45, all_42_1_46 yields:
% 9.82/2.83  | (175) k2_zfmisc_1(all_42_1_46, all_42_1_46) = all_42_0_45 & u1_struct_0(all_0_23_23) = all_42_1_46 & m2_relset_1(all_0_21_21, all_42_0_45, all_42_1_46) & v1_funct_2(all_0_21_21, all_42_0_45, all_42_1_46)
% 9.82/2.83  |
% 9.82/2.83  | Applying alpha-rule on (175) yields:
% 9.82/2.83  | (176) k2_zfmisc_1(all_42_1_46, all_42_1_46) = all_42_0_45
% 9.82/2.83  | (177) u1_struct_0(all_0_23_23) = all_42_1_46
% 9.82/2.83  | (178) m2_relset_1(all_0_21_21, all_42_0_45, all_42_1_46)
% 9.82/2.83  | (179) v1_funct_2(all_0_21_21, all_42_0_45, all_42_1_46)
% 9.82/2.83  |
% 9.82/2.83  | Instantiating (151) with all_44_0_47, all_44_1_48 yields:
% 9.82/2.83  | (180) k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_44_0_47 & u2_lattices(all_0_28_28) = all_44_1_48 & m2_relset_1(all_44_1_48, all_44_0_47, all_0_27_27) & v1_funct_2(all_44_1_48, all_44_0_47, all_0_27_27) & v1_funct_1(all_44_1_48)
% 9.82/2.83  |
% 9.82/2.83  | Applying alpha-rule on (180) yields:
% 9.82/2.83  | (181) m2_relset_1(all_44_1_48, all_44_0_47, all_0_27_27)
% 9.82/2.83  | (182) v1_funct_1(all_44_1_48)
% 9.82/2.83  | (183) v1_funct_2(all_44_1_48, all_44_0_47, all_0_27_27)
% 9.82/2.83  | (184) k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_44_0_47
% 9.82/2.83  | (185) u2_lattices(all_0_28_28) = all_44_1_48
% 9.82/2.83  |
% 9.82/2.83  | Instantiating (147) with all_46_0_49 yields:
% 9.82/2.83  | (186) u1_struct_0(all_0_23_23) = all_46_0_49 &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_lattices(all_0_23_23, v0, v1) = v2) |  ~ m1_subset_1(v1, all_46_0_49) |  ~ m1_subset_1(v0, all_46_0_49) | k2_binop_1(all_46_0_49, all_46_0_49, all_46_0_49, all_0_21_21, v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_binop_1(all_46_0_49, all_46_0_49, all_46_0_49, all_0_21_21, v0, v1) = v2) |  ~ m1_subset_1(v1, all_46_0_49) |  ~ m1_subset_1(v0, all_46_0_49) | k1_lattices(all_0_23_23, v0, v1) = v2)
% 9.82/2.83  |
% 9.82/2.83  | Applying alpha-rule on (186) yields:
% 9.82/2.83  | (187) u1_struct_0(all_0_23_23) = all_46_0_49
% 9.82/2.83  | (188)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_lattices(all_0_23_23, v0, v1) = v2) |  ~ m1_subset_1(v1, all_46_0_49) |  ~ m1_subset_1(v0, all_46_0_49) | k2_binop_1(all_46_0_49, all_46_0_49, all_46_0_49, all_0_21_21, v0, v1) = v2)
% 9.82/2.83  | (189)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_binop_1(all_46_0_49, all_46_0_49, all_46_0_49, all_0_21_21, v0, v1) = v2) |  ~ m1_subset_1(v1, all_46_0_49) |  ~ m1_subset_1(v0, all_46_0_49) | k1_lattices(all_0_23_23, v0, v1) = v2)
% 9.82/2.83  |
% 9.82/2.83  | Instantiating (143) with all_49_0_50, all_49_1_51 yields:
% 9.82/2.83  | (190) k2_zfmisc_1(all_49_1_51, all_49_1_51) = all_49_0_50 & u1_struct_0(all_0_28_28) = all_49_1_51 & m2_relset_1(all_0_25_25, all_49_0_50, all_49_1_51) & v1_funct_2(all_0_25_25, all_49_0_50, all_49_1_51)
% 9.82/2.83  |
% 9.82/2.83  | Applying alpha-rule on (190) yields:
% 9.82/2.83  | (191) k2_zfmisc_1(all_49_1_51, all_49_1_51) = all_49_0_50
% 9.82/2.83  | (192) u1_struct_0(all_0_28_28) = all_49_1_51
% 9.82/2.83  | (193) m2_relset_1(all_0_25_25, all_49_0_50, all_49_1_51)
% 9.82/2.83  | (194) v1_funct_2(all_0_25_25, all_49_0_50, all_49_1_51)
% 9.82/2.83  |
% 9.82/2.83  | Instantiating (142) with all_51_0_52 yields:
% 9.82/2.83  | (195) u1_struct_0(all_0_28_28) = all_51_0_52 &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_lattices(all_0_28_28, v0, v1) = v2) |  ~ m1_subset_1(v1, all_51_0_52) |  ~ m1_subset_1(v0, all_51_0_52) | k2_binop_1(all_51_0_52, all_51_0_52, all_51_0_52, all_0_25_25, v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_binop_1(all_51_0_52, all_51_0_52, all_51_0_52, all_0_25_25, v0, v1) = v2) |  ~ m1_subset_1(v1, all_51_0_52) |  ~ m1_subset_1(v0, all_51_0_52) | k2_lattices(all_0_28_28, v0, v1) = v2)
% 9.82/2.83  |
% 9.82/2.83  | Applying alpha-rule on (195) yields:
% 9.82/2.83  | (196) u1_struct_0(all_0_28_28) = all_51_0_52
% 9.82/2.83  | (197)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_lattices(all_0_28_28, v0, v1) = v2) |  ~ m1_subset_1(v1, all_51_0_52) |  ~ m1_subset_1(v0, all_51_0_52) | k2_binop_1(all_51_0_52, all_51_0_52, all_51_0_52, all_0_25_25, v0, v1) = v2)
% 9.82/2.83  | (198)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_binop_1(all_51_0_52, all_51_0_52, all_51_0_52, all_0_25_25, v0, v1) = v2) |  ~ m1_subset_1(v1, all_51_0_52) |  ~ m1_subset_1(v0, all_51_0_52) | k2_lattices(all_0_28_28, v0, v1) = v2)
% 9.82/2.83  |
% 9.82/2.83  | Instantiating (144) with all_54_0_53 yields:
% 9.82/2.83  | (199) u1_struct_0(all_0_23_23) = all_54_0_53 & ( ~ m1_subset_1(all_0_18_18, all_54_0_53) |  ~ m1_subset_1(all_0_19_19, all_54_0_53) | m1_subset_1(all_0_15_15, all_54_0_53))
% 9.82/2.83  |
% 9.82/2.83  | Applying alpha-rule on (199) yields:
% 9.82/2.83  | (200) u1_struct_0(all_0_23_23) = all_54_0_53
% 9.82/2.83  | (201)  ~ m1_subset_1(all_0_18_18, all_54_0_53) |  ~ m1_subset_1(all_0_19_19, all_54_0_53) | m1_subset_1(all_0_15_15, all_54_0_53)
% 9.82/2.83  |
% 9.82/2.83  | Instantiating (150) with all_56_0_54 yields:
% 9.82/2.83  | (202) u2_lattices(all_0_28_28) = all_56_0_54 &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_lattices(all_0_28_28, v0, v1) = v2) |  ~ m1_subset_1(v1, all_0_27_27) |  ~ m1_subset_1(v0, all_0_27_27) | k2_binop_1(all_0_27_27, all_0_27_27, all_0_27_27, all_56_0_54, v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_binop_1(all_0_27_27, all_0_27_27, all_0_27_27, all_56_0_54, v0, v1) = v2) |  ~ m1_subset_1(v1, all_0_27_27) |  ~ m1_subset_1(v0, all_0_27_27) | k1_lattices(all_0_28_28, v0, v1) = v2)
% 9.82/2.83  |
% 9.82/2.83  | Applying alpha-rule on (202) yields:
% 9.82/2.83  | (203) u2_lattices(all_0_28_28) = all_56_0_54
% 9.82/2.83  | (204)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_lattices(all_0_28_28, v0, v1) = v2) |  ~ m1_subset_1(v1, all_0_27_27) |  ~ m1_subset_1(v0, all_0_27_27) | k2_binop_1(all_0_27_27, all_0_27_27, all_0_27_27, all_56_0_54, v0, v1) = v2)
% 9.82/2.83  | (205)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_binop_1(all_0_27_27, all_0_27_27, all_0_27_27, all_56_0_54, v0, v1) = v2) |  ~ m1_subset_1(v1, all_0_27_27) |  ~ m1_subset_1(v0, all_0_27_27) | k1_lattices(all_0_28_28, v0, v1) = v2)
% 9.82/2.83  |
% 9.82/2.83  | Instantiating formula (204) with all_0_17_17, all_0_18_18, all_0_19_19 and discharging atoms k1_lattices(all_0_28_28, all_0_19_19, all_0_18_18) = all_0_17_17, m1_subset_1(all_0_18_18, all_0_27_27), m1_subset_1(all_0_19_19, all_0_27_27), yields:
% 9.82/2.83  | (206) k2_binop_1(all_0_27_27, all_0_27_27, all_0_27_27, all_56_0_54, all_0_19_19, all_0_18_18) = all_0_17_17
% 9.82/2.83  |
% 9.82/2.83  | Instantiating (140) with all_60_0_55 yields:
% 9.82/2.83  | (207) u1_lattices(all_0_28_28) = all_60_0_55 &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_lattices(all_0_28_28, v0, v1) = v2) |  ~ m1_subset_1(v1, all_0_27_27) |  ~ m1_subset_1(v0, all_0_27_27) | k2_binop_1(all_0_27_27, all_0_27_27, all_0_27_27, all_60_0_55, v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_binop_1(all_0_27_27, all_0_27_27, all_0_27_27, all_60_0_55, v0, v1) = v2) |  ~ m1_subset_1(v1, all_0_27_27) |  ~ m1_subset_1(v0, all_0_27_27) | k2_lattices(all_0_28_28, v0, v1) = v2)
% 9.82/2.83  |
% 9.82/2.83  | Applying alpha-rule on (207) yields:
% 9.82/2.83  | (208) u1_lattices(all_0_28_28) = all_60_0_55
% 9.82/2.83  | (209)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_lattices(all_0_28_28, v0, v1) = v2) |  ~ m1_subset_1(v1, all_0_27_27) |  ~ m1_subset_1(v0, all_0_27_27) | k2_binop_1(all_0_27_27, all_0_27_27, all_0_27_27, all_60_0_55, v0, v1) = v2)
% 9.82/2.83  | (210)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_binop_1(all_0_27_27, all_0_27_27, all_0_27_27, all_60_0_55, v0, v1) = v2) |  ~ m1_subset_1(v1, all_0_27_27) |  ~ m1_subset_1(v0, all_0_27_27) | k2_lattices(all_0_28_28, v0, v1) = v2)
% 9.82/2.83  |
% 9.82/2.83  | Instantiating formula (209) with all_0_16_16, all_0_18_18, all_0_19_19 and discharging atoms k2_lattices(all_0_28_28, all_0_19_19, all_0_18_18) = all_0_16_16, m1_subset_1(all_0_18_18, all_0_27_27), m1_subset_1(all_0_19_19, all_0_27_27), yields:
% 9.82/2.83  | (211) k2_binop_1(all_0_27_27, all_0_27_27, all_0_27_27, all_60_0_55, all_0_19_19, all_0_18_18) = all_0_16_16
% 9.82/2.83  |
% 9.82/2.83  | Instantiating (139) with all_64_0_56 yields:
% 9.82/2.83  | (212) u1_struct_0(all_0_28_28) = all_64_0_56 & ( ~ m1_subset_1(all_0_18_18, all_64_0_56) |  ~ m1_subset_1(all_0_19_19, all_64_0_56) | m1_subset_1(all_0_16_16, all_64_0_56))
% 9.82/2.83  |
% 9.82/2.83  | Applying alpha-rule on (212) yields:
% 9.82/2.83  | (213) u1_struct_0(all_0_28_28) = all_64_0_56
% 9.82/2.84  | (214)  ~ m1_subset_1(all_0_18_18, all_64_0_56) |  ~ m1_subset_1(all_0_19_19, all_64_0_56) | m1_subset_1(all_0_16_16, all_64_0_56)
% 9.82/2.84  |
% 9.82/2.84  | Instantiating (136) with all_66_0_57, all_66_1_58 yields:
% 9.82/2.84  | (215) k2_zfmisc_1(all_0_22_22, all_0_22_22) = all_66_0_57 & u1_lattices(all_0_23_23) = all_66_1_58 & m2_relset_1(all_66_1_58, all_66_0_57, all_0_22_22) & v1_funct_2(all_66_1_58, all_66_0_57, all_0_22_22) & v1_funct_1(all_66_1_58)
% 9.82/2.84  |
% 9.82/2.84  | Applying alpha-rule on (215) yields:
% 9.82/2.84  | (216) u1_lattices(all_0_23_23) = all_66_1_58
% 9.82/2.84  | (217) v1_funct_1(all_66_1_58)
% 9.82/2.84  | (218) k2_zfmisc_1(all_0_22_22, all_0_22_22) = all_66_0_57
% 9.82/2.84  | (219) m2_relset_1(all_66_1_58, all_66_0_57, all_0_22_22)
% 9.82/2.84  | (220) v1_funct_2(all_66_1_58, all_66_0_57, all_0_22_22)
% 9.82/2.84  |
% 9.82/2.84  | Instantiating (135) with all_68_0_59 yields:
% 9.82/2.84  | (221) u1_lattices(all_0_23_23) = all_68_0_59 &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_lattices(all_0_23_23, v0, v1) = v2) |  ~ m1_subset_1(v1, all_0_22_22) |  ~ m1_subset_1(v0, all_0_22_22) | k2_binop_1(all_0_22_22, all_0_22_22, all_0_22_22, all_68_0_59, v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_binop_1(all_0_22_22, all_0_22_22, all_0_22_22, all_68_0_59, v0, v1) = v2) |  ~ m1_subset_1(v1, all_0_22_22) |  ~ m1_subset_1(v0, all_0_22_22) | k2_lattices(all_0_23_23, v0, v1) = v2)
% 9.82/2.84  |
% 9.82/2.84  | Applying alpha-rule on (221) yields:
% 9.82/2.84  | (222) u1_lattices(all_0_23_23) = all_68_0_59
% 9.82/2.84  | (223)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_lattices(all_0_23_23, v0, v1) = v2) |  ~ m1_subset_1(v1, all_0_22_22) |  ~ m1_subset_1(v0, all_0_22_22) | k2_binop_1(all_0_22_22, all_0_22_22, all_0_22_22, all_68_0_59, v0, v1) = v2)
% 9.82/2.84  | (224)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_binop_1(all_0_22_22, all_0_22_22, all_0_22_22, all_68_0_59, v0, v1) = v2) |  ~ m1_subset_1(v1, all_0_22_22) |  ~ m1_subset_1(v0, all_0_22_22) | k2_lattices(all_0_23_23, v0, v1) = v2)
% 9.82/2.84  |
% 9.82/2.84  | Instantiating formula (223) with all_0_14_14, all_0_18_18, all_0_19_19 and discharging atoms k2_lattices(all_0_23_23, all_0_19_19, all_0_18_18) = all_0_14_14, m1_subset_1(all_0_18_18, all_0_22_22), m1_subset_1(all_0_19_19, all_0_22_22), yields:
% 9.82/2.84  | (225) k2_binop_1(all_0_22_22, all_0_22_22, all_0_22_22, all_68_0_59, all_0_19_19, all_0_18_18) = all_0_14_14
% 9.82/2.84  |
% 9.82/2.84  | Instantiating (153) with all_72_0_60, all_72_1_61 yields:
% 9.82/2.84  | (226) k2_zfmisc_1(all_72_1_61, all_72_1_61) = all_72_0_60 & u1_struct_0(all_0_28_28) = all_72_1_61 & m2_relset_1(all_0_26_26, all_72_0_60, all_72_1_61) & v1_funct_2(all_0_26_26, all_72_0_60, all_72_1_61)
% 9.82/2.84  |
% 9.82/2.84  | Applying alpha-rule on (226) yields:
% 9.82/2.84  | (227) k2_zfmisc_1(all_72_1_61, all_72_1_61) = all_72_0_60
% 9.82/2.84  | (228) u1_struct_0(all_0_28_28) = all_72_1_61
% 9.82/2.84  | (229) m2_relset_1(all_0_26_26, all_72_0_60, all_72_1_61)
% 9.82/2.84  | (230) v1_funct_2(all_0_26_26, all_72_0_60, all_72_1_61)
% 9.82/2.84  |
% 9.82/2.84  | Instantiating (141) with all_74_0_62, all_74_1_63 yields:
% 9.82/2.84  | (231) k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_74_0_62 & u1_lattices(all_0_28_28) = all_74_1_63 & m2_relset_1(all_74_1_63, all_74_0_62, all_0_27_27) & v1_funct_2(all_74_1_63, all_74_0_62, all_0_27_27) & v1_funct_1(all_74_1_63)
% 9.82/2.84  |
% 9.82/2.84  | Applying alpha-rule on (231) yields:
% 9.82/2.84  | (232) u1_lattices(all_0_28_28) = all_74_1_63
% 9.82/2.84  | (233) v1_funct_1(all_74_1_63)
% 9.82/2.84  | (234) m2_relset_1(all_74_1_63, all_74_0_62, all_0_27_27)
% 9.82/2.84  | (235) k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_74_0_62
% 9.82/2.84  | (236) v1_funct_2(all_74_1_63, all_74_0_62, all_0_27_27)
% 9.82/2.84  |
% 9.82/2.84  | Instantiating (138) with all_76_0_64, all_76_1_65 yields:
% 9.82/2.84  | (237) k2_zfmisc_1(all_76_1_65, all_76_1_65) = all_76_0_64 & u1_struct_0(all_0_23_23) = all_76_1_65 & m2_relset_1(all_0_20_20, all_76_0_64, all_76_1_65) & v1_funct_2(all_0_20_20, all_76_0_64, all_76_1_65)
% 9.82/2.84  |
% 9.82/2.84  | Applying alpha-rule on (237) yields:
% 9.82/2.84  | (238) k2_zfmisc_1(all_76_1_65, all_76_1_65) = all_76_0_64
% 9.82/2.84  | (239) u1_struct_0(all_0_23_23) = all_76_1_65
% 9.82/2.84  | (240) m2_relset_1(all_0_20_20, all_76_0_64, all_76_1_65)
% 9.82/2.84  | (241) v1_funct_2(all_0_20_20, all_76_0_64, all_76_1_65)
% 9.82/2.84  |
% 9.82/2.84  | Instantiating (152) with all_78_0_66 yields:
% 9.82/2.84  | (242) u1_struct_0(all_0_28_28) = all_78_0_66 &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_lattices(all_0_28_28, v0, v1) = v2) |  ~ m1_subset_1(v1, all_78_0_66) |  ~ m1_subset_1(v0, all_78_0_66) | k2_binop_1(all_78_0_66, all_78_0_66, all_78_0_66, all_0_26_26, v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_binop_1(all_78_0_66, all_78_0_66, all_78_0_66, all_0_26_26, v0, v1) = v2) |  ~ m1_subset_1(v1, all_78_0_66) |  ~ m1_subset_1(v0, all_78_0_66) | k1_lattices(all_0_28_28, v0, v1) = v2)
% 9.82/2.84  |
% 9.82/2.84  | Applying alpha-rule on (242) yields:
% 9.82/2.84  | (243) u1_struct_0(all_0_28_28) = all_78_0_66
% 9.82/2.84  | (244)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_lattices(all_0_28_28, v0, v1) = v2) |  ~ m1_subset_1(v1, all_78_0_66) |  ~ m1_subset_1(v0, all_78_0_66) | k2_binop_1(all_78_0_66, all_78_0_66, all_78_0_66, all_0_26_26, v0, v1) = v2)
% 9.82/2.84  | (245)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_binop_1(all_78_0_66, all_78_0_66, all_78_0_66, all_0_26_26, v0, v1) = v2) |  ~ m1_subset_1(v1, all_78_0_66) |  ~ m1_subset_1(v0, all_78_0_66) | k1_lattices(all_0_28_28, v0, v1) = v2)
% 9.82/2.84  |
% 9.82/2.84  | Instantiating formula (66) with all_0_22_22, all_0_22_22, all_29_0_39, all_66_0_57 and discharging atoms k2_zfmisc_1(all_0_22_22, all_0_22_22) = all_66_0_57, k2_zfmisc_1(all_0_22_22, all_0_22_22) = all_29_0_39, yields:
% 9.82/2.84  | (246) all_66_0_57 = all_29_0_39
% 9.82/2.84  |
% 9.82/2.84  | Instantiating formula (66) with all_0_27_27, all_0_27_27, all_44_0_47, all_74_0_62 and discharging atoms k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_74_0_62, k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_44_0_47, yields:
% 9.82/2.84  | (247) all_74_0_62 = all_44_0_47
% 9.82/2.84  |
% 9.82/2.84  | Instantiating formula (39) with all_0_23_23, all_54_0_53, all_76_1_65 and discharging atoms u1_struct_0(all_0_23_23) = all_76_1_65, u1_struct_0(all_0_23_23) = all_54_0_53, yields:
% 9.82/2.84  | (248) all_76_1_65 = all_54_0_53
% 9.82/2.84  |
% 9.82/2.84  | Instantiating formula (39) with all_0_23_23, all_46_0_49, all_0_22_22 and discharging atoms u1_struct_0(all_0_23_23) = all_46_0_49, u1_struct_0(all_0_23_23) = all_0_22_22, yields:
% 9.82/2.84  | (249) all_46_0_49 = all_0_22_22
% 9.82/2.84  |
% 9.82/2.84  | Instantiating formula (39) with all_0_23_23, all_46_0_49, all_54_0_53 and discharging atoms u1_struct_0(all_0_23_23) = all_54_0_53, u1_struct_0(all_0_23_23) = all_46_0_49, yields:
% 9.82/2.84  | (250) all_54_0_53 = all_46_0_49
% 9.82/2.84  |
% 9.82/2.84  | Instantiating formula (39) with all_0_23_23, all_42_1_46, all_46_0_49 and discharging atoms u1_struct_0(all_0_23_23) = all_46_0_49, u1_struct_0(all_0_23_23) = all_42_1_46, yields:
% 9.82/2.84  | (251) all_46_0_49 = all_42_1_46
% 9.82/2.84  |
% 9.82/2.84  | Instantiating formula (39) with all_0_23_23, all_38_0_43, all_76_1_65 and discharging atoms u1_struct_0(all_0_23_23) = all_76_1_65, u1_struct_0(all_0_23_23) = all_38_0_43, yields:
% 9.82/2.84  | (252) all_76_1_65 = all_38_0_43
% 9.82/2.84  |
% 9.82/2.84  | Instantiating formula (39) with all_0_23_23, all_35_0_42, all_46_0_49 and discharging atoms u1_struct_0(all_0_23_23) = all_46_0_49, u1_struct_0(all_0_23_23) = all_35_0_42, yields:
% 9.82/2.84  | (253) all_46_0_49 = all_35_0_42
% 9.82/2.84  |
% 9.82/2.84  | Instantiating formula (39) with all_0_28_28, all_64_0_56, all_78_0_66 and discharging atoms u1_struct_0(all_0_28_28) = all_78_0_66, u1_struct_0(all_0_28_28) = all_64_0_56, yields:
% 9.82/2.84  | (254) all_78_0_66 = all_64_0_56
% 9.82/2.84  |
% 9.82/2.84  | Instantiating formula (39) with all_0_28_28, all_64_0_56, all_72_1_61 and discharging atoms u1_struct_0(all_0_28_28) = all_72_1_61, u1_struct_0(all_0_28_28) = all_64_0_56, yields:
% 9.82/2.84  | (255) all_72_1_61 = all_64_0_56
% 9.82/2.84  |
% 9.82/2.84  | Instantiating formula (39) with all_0_28_28, all_51_0_52, all_72_1_61 and discharging atoms u1_struct_0(all_0_28_28) = all_72_1_61, u1_struct_0(all_0_28_28) = all_51_0_52, yields:
% 9.82/2.84  | (256) all_72_1_61 = all_51_0_52
% 9.82/2.84  |
% 9.82/2.84  | Instantiating formula (39) with all_0_28_28, all_49_1_51, all_0_27_27 and discharging atoms u1_struct_0(all_0_28_28) = all_49_1_51, u1_struct_0(all_0_28_28) = all_0_27_27, yields:
% 9.82/2.84  | (257) all_49_1_51 = all_0_27_27
% 9.82/2.84  |
% 9.82/2.84  | Instantiating formula (39) with all_0_28_28, all_49_1_51, all_72_1_61 and discharging atoms u1_struct_0(all_0_28_28) = all_72_1_61, u1_struct_0(all_0_28_28) = all_49_1_51, yields:
% 9.82/2.84  | (258) all_72_1_61 = all_49_1_51
% 9.82/2.84  |
% 9.82/2.84  | Instantiating formula (39) with all_0_28_28, all_40_0_44, all_78_0_66 and discharging atoms u1_struct_0(all_0_28_28) = all_78_0_66, u1_struct_0(all_0_28_28) = all_40_0_44, yields:
% 9.82/2.84  | (259) all_78_0_66 = all_40_0_44
% 9.82/2.84  |
% 9.82/2.84  | Instantiating formula (64) with all_0_23_23, all_31_0_41, all_0_21_21 and discharging atoms u2_lattices(all_0_23_23) = all_31_0_41, u2_lattices(all_0_23_23) = all_0_21_21, yields:
% 9.82/2.84  | (260) all_31_0_41 = all_0_21_21
% 9.82/2.84  |
% 9.82/2.84  | Instantiating formula (64) with all_0_28_28, all_56_0_54, all_0_26_26 and discharging atoms u2_lattices(all_0_28_28) = all_56_0_54, u2_lattices(all_0_28_28) = all_0_26_26, yields:
% 9.82/2.84  | (261) all_56_0_54 = all_0_26_26
% 9.82/2.84  |
% 9.82/2.84  | Instantiating formula (64) with all_0_28_28, all_44_1_48, all_56_0_54 and discharging atoms u2_lattices(all_0_28_28) = all_56_0_54, u2_lattices(all_0_28_28) = all_44_1_48, yields:
% 9.82/2.84  | (262) all_56_0_54 = all_44_1_48
% 9.82/2.84  |
% 9.82/2.84  | Instantiating formula (86) with all_0_23_23, all_68_0_59, all_0_20_20 and discharging atoms u1_lattices(all_0_23_23) = all_68_0_59, u1_lattices(all_0_23_23) = all_0_20_20, yields:
% 9.82/2.84  | (263) all_68_0_59 = all_0_20_20
% 9.82/2.84  |
% 9.82/2.84  | Instantiating formula (86) with all_0_23_23, all_66_1_58, all_68_0_59 and discharging atoms u1_lattices(all_0_23_23) = all_68_0_59, u1_lattices(all_0_23_23) = all_66_1_58, yields:
% 9.82/2.84  | (264) all_68_0_59 = all_66_1_58
% 9.82/2.84  |
% 9.82/2.84  | Instantiating formula (86) with all_0_28_28, all_74_1_63, all_0_25_25 and discharging atoms u1_lattices(all_0_28_28) = all_74_1_63, u1_lattices(all_0_28_28) = all_0_25_25, yields:
% 9.82/2.84  | (265) all_74_1_63 = all_0_25_25
% 9.82/2.84  |
% 9.82/2.84  | Instantiating formula (86) with all_0_28_28, all_60_0_55, all_74_1_63 and discharging atoms u1_lattices(all_0_28_28) = all_74_1_63, u1_lattices(all_0_28_28) = all_60_0_55, yields:
% 9.82/2.84  | (266) all_74_1_63 = all_60_0_55
% 9.82/2.84  |
% 9.82/2.84  | Combining equations (254,259) yields a new equation:
% 9.82/2.84  | (267) all_64_0_56 = all_40_0_44
% 9.82/2.84  |
% 9.82/2.84  | Simplifying 267 yields:
% 9.82/2.84  | (268) all_64_0_56 = all_40_0_44
% 9.82/2.84  |
% 9.82/2.84  | Combining equations (248,252) yields a new equation:
% 9.82/2.84  | (269) all_54_0_53 = all_38_0_43
% 9.82/2.84  |
% 9.82/2.84  | Simplifying 269 yields:
% 9.82/2.84  | (270) all_54_0_53 = all_38_0_43
% 9.82/2.84  |
% 9.82/2.84  | Combining equations (265,266) yields a new equation:
% 9.82/2.84  | (271) all_60_0_55 = all_0_25_25
% 9.82/2.84  |
% 9.82/2.84  | Combining equations (258,256) yields a new equation:
% 9.82/2.84  | (272) all_51_0_52 = all_49_1_51
% 9.82/2.85  |
% 9.82/2.85  | Combining equations (255,256) yields a new equation:
% 9.82/2.85  | (273) all_64_0_56 = all_51_0_52
% 9.82/2.85  |
% 9.82/2.85  | Simplifying 273 yields:
% 9.82/2.85  | (274) all_64_0_56 = all_51_0_52
% 9.82/2.85  |
% 9.82/2.85  | Combining equations (263,264) yields a new equation:
% 9.82/2.85  | (275) all_66_1_58 = all_0_20_20
% 9.82/2.85  |
% 9.82/2.85  | Combining equations (274,268) yields a new equation:
% 9.82/2.85  | (276) all_51_0_52 = all_40_0_44
% 9.82/2.85  |
% 9.82/2.85  | Simplifying 276 yields:
% 9.82/2.85  | (277) all_51_0_52 = all_40_0_44
% 9.82/2.85  |
% 9.82/2.85  | Combining equations (261,262) yields a new equation:
% 9.82/2.85  | (278) all_44_1_48 = all_0_26_26
% 9.82/2.85  |
% 9.82/2.85  | Combining equations (250,270) yields a new equation:
% 9.82/2.85  | (279) all_46_0_49 = all_38_0_43
% 9.82/2.85  |
% 9.82/2.85  | Simplifying 279 yields:
% 9.82/2.85  | (280) all_46_0_49 = all_38_0_43
% 9.82/2.85  |
% 9.82/2.85  | Combining equations (272,277) yields a new equation:
% 9.82/2.85  | (281) all_49_1_51 = all_40_0_44
% 9.82/2.85  |
% 9.82/2.85  | Simplifying 281 yields:
% 9.82/2.85  | (282) all_49_1_51 = all_40_0_44
% 9.82/2.85  |
% 9.82/2.85  | Combining equations (282,257) yields a new equation:
% 9.82/2.85  | (283) all_40_0_44 = all_0_27_27
% 9.82/2.85  |
% 9.82/2.85  | Simplifying 283 yields:
% 9.82/2.85  | (284) all_40_0_44 = all_0_27_27
% 9.82/2.85  |
% 9.82/2.85  | Combining equations (249,251) yields a new equation:
% 9.82/2.85  | (285) all_42_1_46 = all_0_22_22
% 9.82/2.85  |
% 9.82/2.85  | Combining equations (253,251) yields a new equation:
% 9.82/2.85  | (286) all_42_1_46 = all_35_0_42
% 9.82/2.85  |
% 9.82/2.85  | Combining equations (280,251) yields a new equation:
% 9.82/2.85  | (287) all_42_1_46 = all_38_0_43
% 9.82/2.85  |
% 9.82/2.85  | Combining equations (286,287) yields a new equation:
% 9.82/2.85  | (288) all_38_0_43 = all_35_0_42
% 9.82/2.85  |
% 9.82/2.85  | Combining equations (285,287) yields a new equation:
% 9.82/2.85  | (289) all_38_0_43 = all_0_22_22
% 9.82/2.85  |
% 9.82/2.85  | Combining equations (288,289) yields a new equation:
% 9.82/2.85  | (290) all_35_0_42 = all_0_22_22
% 9.82/2.85  |
% 9.82/2.85  | Simplifying 290 yields:
% 9.82/2.85  | (291) all_35_0_42 = all_0_22_22
% 9.82/2.85  |
% 9.82/2.85  | Combining equations (289,287) yields a new equation:
% 9.82/2.85  | (285) all_42_1_46 = all_0_22_22
% 9.82/2.85  |
% 9.82/2.85  | Combining equations (284,277) yields a new equation:
% 9.82/2.85  | (293) all_51_0_52 = all_0_27_27
% 9.82/2.85  |
% 9.82/2.85  | Combining equations (289,270) yields a new equation:
% 9.82/2.85  | (294) all_54_0_53 = all_0_22_22
% 9.82/2.85  |
% 9.82/2.85  | Combining equations (278,262) yields a new equation:
% 9.82/2.85  | (261) all_56_0_54 = all_0_26_26
% 9.82/2.85  |
% 9.82/2.85  | Combining equations (275,264) yields a new equation:
% 9.82/2.85  | (263) all_68_0_59 = all_0_20_20
% 9.82/2.85  |
% 9.82/2.85  | Combining equations (293,256) yields a new equation:
% 9.82/2.85  | (297) all_72_1_61 = all_0_27_27
% 9.82/2.85  |
% 9.82/2.85  | Combining equations (271,266) yields a new equation:
% 9.82/2.85  | (265) all_74_1_63 = all_0_25_25
% 9.82/2.85  |
% 9.82/2.85  | Combining equations (289,252) yields a new equation:
% 9.82/2.85  | (299) all_76_1_65 = all_0_22_22
% 9.82/2.85  |
% 9.82/2.85  | From (263) and (225) follows:
% 9.82/2.85  | (300) k2_binop_1(all_0_22_22, all_0_22_22, all_0_22_22, all_0_20_20, all_0_19_19, all_0_18_18) = all_0_14_14
% 9.82/2.85  |
% 9.82/2.85  | From (260) and (164) follows:
% 9.82/2.85  | (301) k2_binop_1(all_0_22_22, all_0_22_22, all_0_22_22, all_0_21_21, all_0_19_19, all_0_18_18) = all_0_15_15
% 9.82/2.85  |
% 9.82/2.85  | From (271) and (211) follows:
% 9.82/2.85  | (302) k2_binop_1(all_0_27_27, all_0_27_27, all_0_27_27, all_0_25_25, all_0_19_19, all_0_18_18) = all_0_16_16
% 9.82/2.85  |
% 9.82/2.85  | From (261) and (206) follows:
% 9.82/2.85  | (303) k2_binop_1(all_0_27_27, all_0_27_27, all_0_27_27, all_0_26_26, all_0_19_19, all_0_18_18) = all_0_17_17
% 9.82/2.85  |
% 9.82/2.85  | From (299)(299) and (238) follows:
% 9.82/2.85  | (304) k2_zfmisc_1(all_0_22_22, all_0_22_22) = all_76_0_64
% 9.82/2.85  |
% 9.82/2.85  | From (297)(297) and (227) follows:
% 9.82/2.85  | (305) k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_72_0_60
% 9.82/2.85  |
% 9.82/2.85  | From (257)(257) and (191) follows:
% 9.82/2.85  | (306) k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_49_0_50
% 9.82/2.85  |
% 9.82/2.85  | From (285)(285) and (176) follows:
% 9.82/2.85  | (307) k2_zfmisc_1(all_0_22_22, all_0_22_22) = all_42_0_45
% 9.82/2.85  |
% 9.82/2.85  | From (246) and (218) follows:
% 9.82/2.85  | (159) k2_zfmisc_1(all_0_22_22, all_0_22_22) = all_29_0_39
% 9.82/2.85  |
% 9.82/2.85  | From (247) and (235) follows:
% 9.82/2.85  | (184) k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_44_0_47
% 9.82/2.85  |
% 9.82/2.85  | From (291) and (166) follows:
% 9.82/2.85  | (97) u1_struct_0(all_0_23_23) = all_0_22_22
% 9.82/2.85  |
% 9.82/2.85  | From (284) and (173) follows:
% 9.82/2.85  | (115) u1_struct_0(all_0_28_28) = all_0_27_27
% 9.82/2.85  |
% 9.82/2.85  | From (257) and (193) follows:
% 9.82/2.85  | (312) m2_relset_1(all_0_25_25, all_49_0_50, all_0_27_27)
% 9.82/2.85  |
% 9.82/2.85  | From (297) and (229) follows:
% 9.82/2.85  | (313) m2_relset_1(all_0_26_26, all_72_0_60, all_0_27_27)
% 9.82/2.85  |
% 9.82/2.85  | From (257) and (194) follows:
% 9.82/2.85  | (314) v1_funct_2(all_0_25_25, all_49_0_50, all_0_27_27)
% 9.82/2.85  |
% 9.82/2.85  | From (297) and (230) follows:
% 9.82/2.85  | (315) v1_funct_2(all_0_26_26, all_72_0_60, all_0_27_27)
% 9.82/2.85  |
% 9.82/2.85  | From (265) and (233) follows:
% 9.82/2.85  | (316) v1_funct_1(all_0_25_25)
% 9.82/2.85  |
% 9.82/2.85  | From (278) and (182) follows:
% 9.82/2.85  | (317) v1_funct_1(all_0_26_26)
% 9.82/2.85  |
% 9.82/2.85  +-Applying beta-rule and splitting (171), into two cases.
% 9.82/2.85  |-Branch one:
% 9.82/2.85  | (318)  ~ m1_subset_1(all_0_18_18, all_38_0_43)
% 9.82/2.85  |
% 9.82/2.85  	| From (289) and (318) follows:
% 9.82/2.85  	| (319)  ~ m1_subset_1(all_0_18_18, all_0_22_22)
% 9.82/2.85  	|
% 9.82/2.85  	| Using (71) and (319) yields:
% 9.82/2.85  	| (320) $false
% 9.82/2.85  	|
% 9.82/2.85  	|-The branch is then unsatisfiable
% 9.82/2.85  |-Branch two:
% 9.82/2.85  | (321) m1_subset_1(all_0_18_18, all_38_0_43)
% 9.82/2.85  | (322)  ~ m1_subset_1(all_0_19_19, all_38_0_43) | m1_subset_1(all_0_14_14, all_38_0_43)
% 9.82/2.85  |
% 9.82/2.85  	| From (289) and (321) follows:
% 9.82/2.85  	| (71) m1_subset_1(all_0_18_18, all_0_22_22)
% 9.82/2.85  	|
% 9.82/2.85  	+-Applying beta-rule and splitting (201), into two cases.
% 9.82/2.85  	|-Branch one:
% 9.82/2.85  	| (324)  ~ m1_subset_1(all_0_18_18, all_54_0_53)
% 9.82/2.85  	|
% 9.82/2.85  		| From (294) and (324) follows:
% 9.82/2.85  		| (319)  ~ m1_subset_1(all_0_18_18, all_0_22_22)
% 9.82/2.85  		|
% 9.82/2.85  		| Using (71) and (319) yields:
% 9.82/2.85  		| (320) $false
% 9.82/2.85  		|
% 9.82/2.85  		|-The branch is then unsatisfiable
% 9.82/2.85  	|-Branch two:
% 9.82/2.85  	| (327) m1_subset_1(all_0_18_18, all_54_0_53)
% 9.82/2.85  	| (328)  ~ m1_subset_1(all_0_19_19, all_54_0_53) | m1_subset_1(all_0_15_15, all_54_0_53)
% 9.82/2.85  	|
% 9.82/2.85  		| From (294) and (327) follows:
% 9.82/2.85  		| (71) m1_subset_1(all_0_18_18, all_0_22_22)
% 9.82/2.85  		|
% 9.82/2.85  		+-Applying beta-rule and splitting (322), into two cases.
% 9.82/2.85  		|-Branch one:
% 9.82/2.85  		| (330)  ~ m1_subset_1(all_0_19_19, all_38_0_43)
% 9.82/2.85  		|
% 9.82/2.85  			| From (289) and (330) follows:
% 9.82/2.85  			| (331)  ~ m1_subset_1(all_0_19_19, all_0_22_22)
% 9.82/2.85  			|
% 9.82/2.85  			| Using (6) and (331) yields:
% 9.82/2.85  			| (320) $false
% 9.82/2.85  			|
% 9.82/2.85  			|-The branch is then unsatisfiable
% 9.82/2.85  		|-Branch two:
% 9.82/2.85  		| (333) m1_subset_1(all_0_19_19, all_38_0_43)
% 9.82/2.85  		| (334) m1_subset_1(all_0_14_14, all_38_0_43)
% 9.82/2.85  		|
% 9.82/2.85  			| From (289) and (333) follows:
% 9.82/2.85  			| (6) m1_subset_1(all_0_19_19, all_0_22_22)
% 9.82/2.85  			|
% 9.82/2.85  			+-Applying beta-rule and splitting (328), into two cases.
% 9.82/2.85  			|-Branch one:
% 9.82/2.85  			| (336)  ~ m1_subset_1(all_0_19_19, all_54_0_53)
% 9.82/2.85  			|
% 9.82/2.85  				| From (294) and (336) follows:
% 9.82/2.85  				| (331)  ~ m1_subset_1(all_0_19_19, all_0_22_22)
% 9.82/2.85  				|
% 9.82/2.85  				| Using (6) and (331) yields:
% 9.82/2.85  				| (320) $false
% 9.82/2.85  				|
% 9.82/2.85  				|-The branch is then unsatisfiable
% 9.82/2.85  			|-Branch two:
% 9.82/2.85  			| (339) m1_subset_1(all_0_19_19, all_54_0_53)
% 9.82/2.85  			| (340) m1_subset_1(all_0_15_15, all_54_0_53)
% 9.82/2.85  			|
% 9.82/2.85  				| From (294) and (340) follows:
% 9.82/2.85  				| (341) m1_subset_1(all_0_15_15, all_0_22_22)
% 9.82/2.85  				|
% 9.82/2.85  				| From (294) and (339) follows:
% 9.82/2.85  				| (6) m1_subset_1(all_0_19_19, all_0_22_22)
% 9.82/2.85  				|
% 9.82/2.85  				| Instantiating formula (66) with all_0_22_22, all_0_22_22, all_76_0_64, all_29_0_39 and discharging atoms k2_zfmisc_1(all_0_22_22, all_0_22_22) = all_76_0_64, k2_zfmisc_1(all_0_22_22, all_0_22_22) = all_29_0_39, yields:
% 9.82/2.85  				| (343) all_76_0_64 = all_29_0_39
% 9.82/2.85  				|
% 9.82/2.85  				| Instantiating formula (66) with all_0_22_22, all_0_22_22, all_42_0_45, all_76_0_64 and discharging atoms k2_zfmisc_1(all_0_22_22, all_0_22_22) = all_76_0_64, k2_zfmisc_1(all_0_22_22, all_0_22_22) = all_42_0_45, yields:
% 9.82/2.86  				| (344) all_76_0_64 = all_42_0_45
% 9.82/2.86  				|
% 9.82/2.86  				| Instantiating formula (66) with all_0_27_27, all_0_27_27, all_72_0_60, all_44_0_47 and discharging atoms k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_72_0_60, k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_44_0_47, yields:
% 9.82/2.86  				| (345) all_72_0_60 = all_44_0_47
% 9.82/2.86  				|
% 9.82/2.86  				| Instantiating formula (66) with all_0_27_27, all_0_27_27, all_49_0_50, all_72_0_60 and discharging atoms k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_72_0_60, k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_49_0_50, yields:
% 9.82/2.86  				| (346) all_72_0_60 = all_49_0_50
% 9.82/2.86  				|
% 9.82/2.86  				| Combining equations (343,344) yields a new equation:
% 9.82/2.86  				| (347) all_42_0_45 = all_29_0_39
% 9.82/2.86  				|
% 9.82/2.86  				| Combining equations (345,346) yields a new equation:
% 9.82/2.86  				| (348) all_49_0_50 = all_44_0_47
% 9.82/2.86  				|
% 9.82/2.86  				| Combining equations (348,346) yields a new equation:
% 9.82/2.86  				| (345) all_72_0_60 = all_44_0_47
% 9.82/2.86  				|
% 9.82/2.86  				| From (347) and (307) follows:
% 9.82/2.86  				| (159) k2_zfmisc_1(all_0_22_22, all_0_22_22) = all_29_0_39
% 9.82/2.86  				|
% 9.82/2.86  				| From (348) and (306) follows:
% 9.82/2.86  				| (184) k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_44_0_47
% 9.82/2.86  				|
% 9.82/2.86  				| From (348) and (312) follows:
% 9.82/2.86  				| (352) m2_relset_1(all_0_25_25, all_44_0_47, all_0_27_27)
% 9.82/2.86  				|
% 9.82/2.86  				| From (345) and (313) follows:
% 9.82/2.86  				| (353) m2_relset_1(all_0_26_26, all_44_0_47, all_0_27_27)
% 9.82/2.86  				|
% 9.82/2.86  				| From (348) and (314) follows:
% 9.82/2.86  				| (354) v1_funct_2(all_0_25_25, all_44_0_47, all_0_27_27)
% 9.82/2.86  				|
% 9.82/2.86  				| From (345) and (315) follows:
% 9.82/2.86  				| (355) v1_funct_2(all_0_26_26, all_44_0_47, all_0_27_27)
% 9.82/2.86  				|
% 9.82/2.86  				| Instantiating formula (5) with all_0_25_25, all_0_27_27, all_44_0_47 and discharging atoms m2_relset_1(all_0_25_25, all_44_0_47, all_0_27_27), yields:
% 9.82/2.86  				| (356) m1_relset_1(all_0_25_25, all_44_0_47, all_0_27_27)
% 9.82/2.86  				|
% 9.82/2.86  				| Instantiating formula (5) with all_0_26_26, all_0_27_27, all_44_0_47 and discharging atoms m2_relset_1(all_0_26_26, all_44_0_47, all_0_27_27), yields:
% 9.82/2.86  				| (357) m1_relset_1(all_0_26_26, all_44_0_47, all_0_27_27)
% 9.82/2.86  				|
% 9.82/2.86  				| Instantiating formula (65) with all_0_20_20, all_0_21_21, all_0_22_22, all_0_24_24, all_0_25_25, all_0_26_26, all_0_27_27 and discharging atoms g3_lattices(all_0_22_22, all_0_21_21, all_0_20_20) = all_0_24_24, g3_lattices(all_0_27_27, all_0_26_26, all_0_25_25) = all_0_24_24, v1_funct_1(all_0_25_25), v1_funct_1(all_0_26_26), yields:
% 9.82/2.86  				| (358) all_0_20_20 = all_0_25_25 |  ? [v0] : (k2_zfmisc_1(all_0_27_27, all_0_27_27) = v0 & ( ~ m1_relset_1(all_0_25_25, v0, all_0_27_27) |  ~ m1_relset_1(all_0_26_26, v0, all_0_27_27) |  ~ v1_funct_2(all_0_25_25, v0, all_0_27_27) |  ~ v1_funct_2(all_0_26_26, v0, all_0_27_27)))
% 9.82/2.86  				|
% 9.82/2.86  				| Instantiating formula (49) with all_0_20_20, all_0_21_21, all_0_22_22, all_0_24_24, all_0_25_25, all_0_26_26, all_0_27_27 and discharging atoms g3_lattices(all_0_22_22, all_0_21_21, all_0_20_20) = all_0_24_24, g3_lattices(all_0_27_27, all_0_26_26, all_0_25_25) = all_0_24_24, v1_funct_1(all_0_25_25), v1_funct_1(all_0_26_26), yields:
% 9.82/2.86  				| (359) all_0_21_21 = all_0_26_26 |  ? [v0] : (k2_zfmisc_1(all_0_27_27, all_0_27_27) = v0 & ( ~ m1_relset_1(all_0_25_25, v0, all_0_27_27) |  ~ m1_relset_1(all_0_26_26, v0, all_0_27_27) |  ~ v1_funct_2(all_0_25_25, v0, all_0_27_27) |  ~ v1_funct_2(all_0_26_26, v0, all_0_27_27)))
% 9.82/2.86  				|
% 9.82/2.86  				| Instantiating formula (91) with all_0_20_20, all_0_21_21, all_0_22_22, all_0_24_24, all_0_25_25, all_0_26_26, all_0_27_27 and discharging atoms g3_lattices(all_0_22_22, all_0_21_21, all_0_20_20) = all_0_24_24, g3_lattices(all_0_27_27, all_0_26_26, all_0_25_25) = all_0_24_24, v1_funct_1(all_0_25_25), v1_funct_1(all_0_26_26), yields:
% 9.82/2.86  				| (360) all_0_22_22 = all_0_27_27 |  ? [v0] : (k2_zfmisc_1(all_0_27_27, all_0_27_27) = v0 & ( ~ m1_relset_1(all_0_25_25, v0, all_0_27_27) |  ~ m1_relset_1(all_0_26_26, v0, all_0_27_27) |  ~ v1_funct_2(all_0_25_25, v0, all_0_27_27) |  ~ v1_funct_2(all_0_26_26, v0, all_0_27_27)))
% 9.82/2.86  				|
% 9.82/2.86  				+-Applying beta-rule and splitting (360), into two cases.
% 9.82/2.86  				|-Branch one:
% 9.82/2.86  				| (361) all_0_22_22 = all_0_27_27
% 9.82/2.86  				|
% 9.82/2.86  					| From (361)(361)(361) and (300) follows:
% 9.82/2.86  					| (362) k2_binop_1(all_0_27_27, all_0_27_27, all_0_27_27, all_0_20_20, all_0_19_19, all_0_18_18) = all_0_14_14
% 9.82/2.86  					|
% 9.82/2.86  					| From (361)(361)(361) and (301) follows:
% 9.82/2.86  					| (363) k2_binop_1(all_0_27_27, all_0_27_27, all_0_27_27, all_0_21_21, all_0_19_19, all_0_18_18) = all_0_15_15
% 9.82/2.86  					|
% 9.82/2.86  					| From (361)(361) and (159) follows:
% 9.82/2.86  					| (364) k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_29_0_39
% 9.82/2.86  					|
% 9.82/2.86  					| From (361) and (97) follows:
% 9.82/2.86  					| (365) u1_struct_0(all_0_23_23) = all_0_27_27
% 9.82/2.86  					|
% 9.82/2.86  					| From (361) and (341) follows:
% 9.82/2.86  					| (366) m1_subset_1(all_0_15_15, all_0_27_27)
% 9.82/2.86  					|
% 9.82/2.86  					| From (361) and (71) follows:
% 9.82/2.86  					| (109) m1_subset_1(all_0_18_18, all_0_27_27)
% 9.82/2.86  					|
% 9.82/2.86  					| From (361) and (6) follows:
% 9.82/2.86  					| (41) m1_subset_1(all_0_19_19, all_0_27_27)
% 9.82/2.86  					|
% 9.82/2.86  					+-Applying beta-rule and splitting (359), into two cases.
% 9.82/2.86  					|-Branch one:
% 9.82/2.86  					| (369) all_0_21_21 = all_0_26_26
% 9.82/2.86  					|
% 9.82/2.86  						| From (369) and (363) follows:
% 9.82/2.86  						| (370) k2_binop_1(all_0_27_27, all_0_27_27, all_0_27_27, all_0_26_26, all_0_19_19, all_0_18_18) = all_0_15_15
% 9.82/2.86  						|
% 9.82/2.86  						+-Applying beta-rule and splitting (358), into two cases.
% 9.82/2.86  						|-Branch one:
% 9.82/2.86  						| (371) all_0_20_20 = all_0_25_25
% 9.82/2.86  						|
% 9.82/2.86  							| From (371) and (362) follows:
% 9.82/2.86  							| (372) k2_binop_1(all_0_27_27, all_0_27_27, all_0_27_27, all_0_25_25, all_0_19_19, all_0_18_18) = all_0_14_14
% 9.82/2.86  							|
% 9.82/2.86  							| Instantiating formula (8) with all_0_27_27, all_0_27_27, all_0_27_27, all_0_25_25, all_0_19_19, all_0_18_18, all_0_14_14, all_0_16_16 and discharging atoms k2_binop_1(all_0_27_27, all_0_27_27, all_0_27_27, all_0_25_25, all_0_19_19, all_0_18_18) = all_0_14_14, k2_binop_1(all_0_27_27, all_0_27_27, all_0_27_27, all_0_25_25, all_0_19_19, all_0_18_18) = all_0_16_16, yields:
% 9.82/2.86  							| (373) all_0_14_14 = all_0_16_16
% 9.82/2.86  							|
% 9.82/2.86  							| Instantiating formula (8) with all_0_27_27, all_0_27_27, all_0_27_27, all_0_26_26, all_0_19_19, all_0_18_18, all_0_15_15, all_0_17_17 and discharging atoms k2_binop_1(all_0_27_27, all_0_27_27, all_0_27_27, all_0_26_26, all_0_19_19, all_0_18_18) = all_0_15_15, k2_binop_1(all_0_27_27, all_0_27_27, all_0_27_27, all_0_26_26, all_0_19_19, all_0_18_18) = all_0_17_17, yields:
% 9.82/2.86  							| (374) all_0_15_15 = all_0_17_17
% 9.82/2.86  							|
% 9.82/2.86  							| From (374) and (55) follows:
% 9.82/2.86  							| (375) k1_lattices(all_0_23_23, all_0_19_19, all_0_18_18) = all_0_17_17
% 9.82/2.86  							|
% 9.82/2.86  							| From (374) and (366) follows:
% 9.82/2.86  							| (376) m1_subset_1(all_0_17_17, all_0_27_27)
% 9.82/2.86  							|
% 9.82/2.86  							+-Applying beta-rule and splitting (121), into two cases.
% 9.82/2.86  							|-Branch one:
% 9.82/2.86  							| (377)  ~ (all_0_14_14 = all_0_16_16)
% 9.82/2.86  							|
% 9.82/2.86  								| Equations (373) can reduce 377 to:
% 9.82/2.86  								| (378) $false
% 9.82/2.86  								|
% 9.82/2.86  								|-The branch is then unsatisfiable
% 9.82/2.86  							|-Branch two:
% 9.82/2.86  							| (373) all_0_14_14 = all_0_16_16
% 9.82/2.86  							| (380)  ~ (all_0_15_15 = all_0_17_17) | (r1_lattices(all_0_23_23, all_0_19_19, all_0_18_18) &  ~ r1_lattices(all_0_28_28, all_0_19_19, all_0_18_18)) | (r1_lattices(all_0_28_28, all_0_19_19, all_0_18_18) &  ~ r1_lattices(all_0_23_23, all_0_19_19, all_0_18_18))
% 9.82/2.86  							|
% 9.82/2.86  								+-Applying beta-rule and splitting (380), into two cases.
% 9.82/2.86  								|-Branch one:
% 9.82/2.86  								| (381)  ~ (all_0_15_15 = all_0_17_17)
% 9.82/2.86  								|
% 9.82/2.86  									| Equations (374) can reduce 381 to:
% 9.82/2.86  									| (378) $false
% 9.82/2.86  									|
% 9.82/2.86  									|-The branch is then unsatisfiable
% 9.82/2.86  								|-Branch two:
% 9.82/2.86  								| (374) all_0_15_15 = all_0_17_17
% 9.82/2.86  								| (384) (r1_lattices(all_0_23_23, all_0_19_19, all_0_18_18) &  ~ r1_lattices(all_0_28_28, all_0_19_19, all_0_18_18)) | (r1_lattices(all_0_28_28, all_0_19_19, all_0_18_18) &  ~ r1_lattices(all_0_23_23, all_0_19_19, all_0_18_18))
% 9.82/2.86  								|
% 9.82/2.86  									+-Applying beta-rule and splitting (384), into two cases.
% 9.82/2.86  									|-Branch one:
% 9.82/2.86  									| (385) r1_lattices(all_0_23_23, all_0_19_19, all_0_18_18) &  ~ r1_lattices(all_0_28_28, all_0_19_19, all_0_18_18)
% 9.82/2.86  									|
% 9.82/2.86  										| Applying alpha-rule on (385) yields:
% 9.82/2.86  										| (386) r1_lattices(all_0_23_23, all_0_19_19, all_0_18_18)
% 9.82/2.86  										| (387)  ~ r1_lattices(all_0_28_28, all_0_19_19, all_0_18_18)
% 9.82/2.86  										|
% 9.82/2.86  										| Instantiating formula (96) with all_0_17_17, all_0_18_18, all_0_19_19, all_0_27_27, all_0_23_23 and discharging atoms k1_lattices(all_0_23_23, all_0_19_19, all_0_18_18) = all_0_17_17, u1_struct_0(all_0_23_23) = all_0_27_27, l2_lattices(all_0_23_23), r1_lattices(all_0_23_23, all_0_19_19, all_0_18_18), m1_subset_1(all_0_18_18, all_0_27_27), m1_subset_1(all_0_19_19, all_0_27_27),  ~ v3_struct_0(all_0_23_23), yields:
% 9.82/2.86  										| (388) all_0_17_17 = all_0_18_18
% 9.82/2.86  										|
% 9.82/2.86  										| From (388) and (15) follows:
% 9.82/2.86  										| (389) k1_lattices(all_0_28_28, all_0_19_19, all_0_18_18) = all_0_18_18
% 9.82/2.86  										|
% 9.82/2.86  										| From (388) and (376) follows:
% 9.82/2.86  										| (109) m1_subset_1(all_0_18_18, all_0_27_27)
% 9.82/2.86  										|
% 9.82/2.86  										| Instantiating formula (120) with all_0_18_18, all_0_19_19, all_0_27_27, all_0_28_28 and discharging atoms k1_lattices(all_0_28_28, all_0_19_19, all_0_18_18) = all_0_18_18, u1_struct_0(all_0_28_28) = all_0_27_27, l2_lattices(all_0_28_28), m1_subset_1(all_0_18_18, all_0_27_27), m1_subset_1(all_0_19_19, all_0_27_27),  ~ r1_lattices(all_0_28_28, all_0_19_19, all_0_18_18),  ~ v3_struct_0(all_0_28_28), yields:
% 9.82/2.86  										| (320) $false
% 9.82/2.86  										|
% 9.82/2.86  										|-The branch is then unsatisfiable
% 9.82/2.86  									|-Branch two:
% 9.82/2.86  									| (392) r1_lattices(all_0_28_28, all_0_19_19, all_0_18_18) &  ~ r1_lattices(all_0_23_23, all_0_19_19, all_0_18_18)
% 9.82/2.86  									|
% 9.82/2.86  										| Applying alpha-rule on (392) yields:
% 9.82/2.86  										| (393) r1_lattices(all_0_28_28, all_0_19_19, all_0_18_18)
% 9.82/2.86  										| (394)  ~ r1_lattices(all_0_23_23, all_0_19_19, all_0_18_18)
% 9.82/2.86  										|
% 9.82/2.86  										| Instantiating formula (96) with all_0_17_17, all_0_18_18, all_0_19_19, all_0_27_27, all_0_28_28 and discharging atoms k1_lattices(all_0_28_28, all_0_19_19, all_0_18_18) = all_0_17_17, u1_struct_0(all_0_28_28) = all_0_27_27, l2_lattices(all_0_28_28), r1_lattices(all_0_28_28, all_0_19_19, all_0_18_18), m1_subset_1(all_0_18_18, all_0_27_27), m1_subset_1(all_0_19_19, all_0_27_27),  ~ v3_struct_0(all_0_28_28), yields:
% 9.82/2.86  										| (388) all_0_17_17 = all_0_18_18
% 9.82/2.86  										|
% 9.82/2.86  										| From (388) and (375) follows:
% 9.82/2.86  										| (396) k1_lattices(all_0_23_23, all_0_19_19, all_0_18_18) = all_0_18_18
% 9.82/2.86  										|
% 9.82/2.86  										| From (388) and (376) follows:
% 9.82/2.86  										| (109) m1_subset_1(all_0_18_18, all_0_27_27)
% 9.82/2.86  										|
% 9.82/2.86  										| Instantiating formula (120) with all_0_18_18, all_0_19_19, all_0_27_27, all_0_23_23 and discharging atoms k1_lattices(all_0_23_23, all_0_19_19, all_0_18_18) = all_0_18_18, u1_struct_0(all_0_23_23) = all_0_27_27, l2_lattices(all_0_23_23), m1_subset_1(all_0_18_18, all_0_27_27), m1_subset_1(all_0_19_19, all_0_27_27),  ~ r1_lattices(all_0_23_23, all_0_19_19, all_0_18_18),  ~ v3_struct_0(all_0_23_23), yields:
% 9.82/2.87  										| (320) $false
% 9.82/2.87  										|
% 9.82/2.87  										|-The branch is then unsatisfiable
% 9.82/2.87  						|-Branch two:
% 9.82/2.87  						| (399)  ~ (all_0_20_20 = all_0_25_25)
% 9.82/2.87  						| (400)  ? [v0] : (k2_zfmisc_1(all_0_27_27, all_0_27_27) = v0 & ( ~ m1_relset_1(all_0_25_25, v0, all_0_27_27) |  ~ m1_relset_1(all_0_26_26, v0, all_0_27_27) |  ~ v1_funct_2(all_0_25_25, v0, all_0_27_27) |  ~ v1_funct_2(all_0_26_26, v0, all_0_27_27)))
% 9.82/2.87  						|
% 9.82/2.87  							| Instantiating (400) with all_151_0_81 yields:
% 9.82/2.87  							| (401) k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_151_0_81 & ( ~ m1_relset_1(all_0_25_25, all_151_0_81, all_0_27_27) |  ~ m1_relset_1(all_0_26_26, all_151_0_81, all_0_27_27) |  ~ v1_funct_2(all_0_25_25, all_151_0_81, all_0_27_27) |  ~ v1_funct_2(all_0_26_26, all_151_0_81, all_0_27_27))
% 9.82/2.87  							|
% 9.82/2.87  							| Applying alpha-rule on (401) yields:
% 9.82/2.87  							| (402) k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_151_0_81
% 9.82/2.87  							| (403)  ~ m1_relset_1(all_0_25_25, all_151_0_81, all_0_27_27) |  ~ m1_relset_1(all_0_26_26, all_151_0_81, all_0_27_27) |  ~ v1_funct_2(all_0_25_25, all_151_0_81, all_0_27_27) |  ~ v1_funct_2(all_0_26_26, all_151_0_81, all_0_27_27)
% 9.82/2.87  							|
% 9.82/2.87  							| Instantiating formula (66) with all_0_27_27, all_0_27_27, all_151_0_81, all_44_0_47 and discharging atoms k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_151_0_81, k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_44_0_47, yields:
% 9.82/2.87  							| (404) all_151_0_81 = all_44_0_47
% 9.82/2.87  							|
% 9.82/2.87  							| Instantiating formula (66) with all_0_27_27, all_0_27_27, all_29_0_39, all_151_0_81 and discharging atoms k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_151_0_81, k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_29_0_39, yields:
% 9.82/2.87  							| (405) all_151_0_81 = all_29_0_39
% 9.82/2.87  							|
% 9.82/2.87  							| Combining equations (404,405) yields a new equation:
% 9.82/2.87  							| (406) all_44_0_47 = all_29_0_39
% 9.82/2.87  							|
% 9.82/2.87  							| Simplifying 406 yields:
% 9.82/2.87  							| (407) all_44_0_47 = all_29_0_39
% 9.82/2.87  							|
% 9.82/2.87  							| From (407) and (356) follows:
% 9.82/2.87  							| (408) m1_relset_1(all_0_25_25, all_29_0_39, all_0_27_27)
% 9.82/2.87  							|
% 9.82/2.87  							| From (407) and (357) follows:
% 9.82/2.87  							| (409) m1_relset_1(all_0_26_26, all_29_0_39, all_0_27_27)
% 9.82/2.87  							|
% 9.82/2.87  							| From (407) and (354) follows:
% 9.82/2.87  							| (410) v1_funct_2(all_0_25_25, all_29_0_39, all_0_27_27)
% 9.82/2.87  							|
% 9.82/2.87  							| From (407) and (355) follows:
% 9.82/2.87  							| (411) v1_funct_2(all_0_26_26, all_29_0_39, all_0_27_27)
% 9.82/2.87  							|
% 9.82/2.87  							+-Applying beta-rule and splitting (403), into two cases.
% 9.82/2.87  							|-Branch one:
% 9.82/2.87  							| (412)  ~ m1_relset_1(all_0_25_25, all_151_0_81, all_0_27_27)
% 9.82/2.87  							|
% 9.82/2.87  								| From (405) and (412) follows:
% 9.82/2.87  								| (413)  ~ m1_relset_1(all_0_25_25, all_29_0_39, all_0_27_27)
% 9.82/2.87  								|
% 9.82/2.87  								| Using (408) and (413) yields:
% 9.82/2.87  								| (320) $false
% 9.82/2.87  								|
% 9.82/2.87  								|-The branch is then unsatisfiable
% 9.82/2.87  							|-Branch two:
% 9.82/2.87  							| (415) m1_relset_1(all_0_25_25, all_151_0_81, all_0_27_27)
% 9.82/2.87  							| (416)  ~ m1_relset_1(all_0_26_26, all_151_0_81, all_0_27_27) |  ~ v1_funct_2(all_0_25_25, all_151_0_81, all_0_27_27) |  ~ v1_funct_2(all_0_26_26, all_151_0_81, all_0_27_27)
% 9.82/2.87  							|
% 9.82/2.87  								+-Applying beta-rule and splitting (416), into two cases.
% 9.82/2.87  								|-Branch one:
% 9.82/2.87  								| (417)  ~ m1_relset_1(all_0_26_26, all_151_0_81, all_0_27_27)
% 9.82/2.87  								|
% 9.82/2.87  									| From (405) and (417) follows:
% 9.82/2.87  									| (418)  ~ m1_relset_1(all_0_26_26, all_29_0_39, all_0_27_27)
% 9.82/2.87  									|
% 9.82/2.87  									| Using (409) and (418) yields:
% 9.82/2.87  									| (320) $false
% 9.82/2.87  									|
% 9.82/2.87  									|-The branch is then unsatisfiable
% 9.82/2.87  								|-Branch two:
% 9.82/2.87  								| (420) m1_relset_1(all_0_26_26, all_151_0_81, all_0_27_27)
% 9.82/2.87  								| (421)  ~ v1_funct_2(all_0_25_25, all_151_0_81, all_0_27_27) |  ~ v1_funct_2(all_0_26_26, all_151_0_81, all_0_27_27)
% 9.82/2.87  								|
% 9.82/2.87  									+-Applying beta-rule and splitting (421), into two cases.
% 9.82/2.87  									|-Branch one:
% 9.82/2.87  									| (422)  ~ v1_funct_2(all_0_25_25, all_151_0_81, all_0_27_27)
% 9.82/2.87  									|
% 9.82/2.87  										| From (405) and (422) follows:
% 9.82/2.87  										| (423)  ~ v1_funct_2(all_0_25_25, all_29_0_39, all_0_27_27)
% 9.82/2.87  										|
% 9.82/2.87  										| Using (410) and (423) yields:
% 9.82/2.87  										| (320) $false
% 9.82/2.87  										|
% 9.82/2.87  										|-The branch is then unsatisfiable
% 9.82/2.87  									|-Branch two:
% 9.82/2.87  									| (425) v1_funct_2(all_0_25_25, all_151_0_81, all_0_27_27)
% 9.82/2.87  									| (426)  ~ v1_funct_2(all_0_26_26, all_151_0_81, all_0_27_27)
% 9.82/2.87  									|
% 9.82/2.87  										| From (405) and (426) follows:
% 9.82/2.87  										| (427)  ~ v1_funct_2(all_0_26_26, all_29_0_39, all_0_27_27)
% 9.82/2.87  										|
% 9.82/2.87  										| Using (411) and (427) yields:
% 9.82/2.87  										| (320) $false
% 9.82/2.87  										|
% 9.82/2.87  										|-The branch is then unsatisfiable
% 9.82/2.87  					|-Branch two:
% 9.82/2.87  					| (429)  ~ (all_0_21_21 = all_0_26_26)
% 9.82/2.87  					| (400)  ? [v0] : (k2_zfmisc_1(all_0_27_27, all_0_27_27) = v0 & ( ~ m1_relset_1(all_0_25_25, v0, all_0_27_27) |  ~ m1_relset_1(all_0_26_26, v0, all_0_27_27) |  ~ v1_funct_2(all_0_25_25, v0, all_0_27_27) |  ~ v1_funct_2(all_0_26_26, v0, all_0_27_27)))
% 9.82/2.87  					|
% 9.82/2.87  						| Instantiating (400) with all_147_0_83 yields:
% 9.82/2.87  						| (431) k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_147_0_83 & ( ~ m1_relset_1(all_0_25_25, all_147_0_83, all_0_27_27) |  ~ m1_relset_1(all_0_26_26, all_147_0_83, all_0_27_27) |  ~ v1_funct_2(all_0_25_25, all_147_0_83, all_0_27_27) |  ~ v1_funct_2(all_0_26_26, all_147_0_83, all_0_27_27))
% 9.82/2.87  						|
% 9.82/2.87  						| Applying alpha-rule on (431) yields:
% 9.82/2.87  						| (432) k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_147_0_83
% 9.82/2.87  						| (433)  ~ m1_relset_1(all_0_25_25, all_147_0_83, all_0_27_27) |  ~ m1_relset_1(all_0_26_26, all_147_0_83, all_0_27_27) |  ~ v1_funct_2(all_0_25_25, all_147_0_83, all_0_27_27) |  ~ v1_funct_2(all_0_26_26, all_147_0_83, all_0_27_27)
% 9.82/2.87  						|
% 9.82/2.87  						| Instantiating formula (66) with all_0_27_27, all_0_27_27, all_147_0_83, all_44_0_47 and discharging atoms k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_147_0_83, k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_44_0_47, yields:
% 9.82/2.87  						| (434) all_147_0_83 = all_44_0_47
% 9.82/2.87  						|
% 9.82/2.87  						| Instantiating formula (66) with all_0_27_27, all_0_27_27, all_29_0_39, all_147_0_83 and discharging atoms k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_147_0_83, k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_29_0_39, yields:
% 9.82/2.87  						| (435) all_147_0_83 = all_29_0_39
% 9.82/2.87  						|
% 9.82/2.87  						| Combining equations (434,435) yields a new equation:
% 9.82/2.87  						| (406) all_44_0_47 = all_29_0_39
% 9.82/2.87  						|
% 9.82/2.87  						| Simplifying 406 yields:
% 9.82/2.87  						| (407) all_44_0_47 = all_29_0_39
% 9.82/2.87  						|
% 9.82/2.87  						| From (407) and (356) follows:
% 9.82/2.87  						| (408) m1_relset_1(all_0_25_25, all_29_0_39, all_0_27_27)
% 9.82/2.87  						|
% 9.82/2.87  						| From (407) and (357) follows:
% 9.82/2.87  						| (409) m1_relset_1(all_0_26_26, all_29_0_39, all_0_27_27)
% 9.82/2.87  						|
% 9.82/2.87  						| From (407) and (354) follows:
% 9.82/2.87  						| (410) v1_funct_2(all_0_25_25, all_29_0_39, all_0_27_27)
% 9.82/2.87  						|
% 9.82/2.87  						| From (407) and (355) follows:
% 9.82/2.87  						| (411) v1_funct_2(all_0_26_26, all_29_0_39, all_0_27_27)
% 9.82/2.87  						|
% 9.82/2.87  						+-Applying beta-rule and splitting (433), into two cases.
% 9.82/2.87  						|-Branch one:
% 9.82/2.87  						| (442)  ~ m1_relset_1(all_0_25_25, all_147_0_83, all_0_27_27)
% 9.82/2.87  						|
% 9.82/2.87  							| From (435) and (442) follows:
% 9.82/2.87  							| (413)  ~ m1_relset_1(all_0_25_25, all_29_0_39, all_0_27_27)
% 9.82/2.87  							|
% 9.82/2.87  							| Using (408) and (413) yields:
% 9.82/2.87  							| (320) $false
% 9.82/2.87  							|
% 9.82/2.87  							|-The branch is then unsatisfiable
% 9.82/2.87  						|-Branch two:
% 9.82/2.87  						| (445) m1_relset_1(all_0_25_25, all_147_0_83, all_0_27_27)
% 9.82/2.87  						| (446)  ~ m1_relset_1(all_0_26_26, all_147_0_83, all_0_27_27) |  ~ v1_funct_2(all_0_25_25, all_147_0_83, all_0_27_27) |  ~ v1_funct_2(all_0_26_26, all_147_0_83, all_0_27_27)
% 9.82/2.87  						|
% 9.82/2.87  							+-Applying beta-rule and splitting (446), into two cases.
% 9.82/2.87  							|-Branch one:
% 9.82/2.87  							| (447)  ~ m1_relset_1(all_0_26_26, all_147_0_83, all_0_27_27)
% 9.82/2.87  							|
% 9.82/2.87  								| From (435) and (447) follows:
% 9.82/2.87  								| (418)  ~ m1_relset_1(all_0_26_26, all_29_0_39, all_0_27_27)
% 9.82/2.87  								|
% 9.82/2.87  								| Using (409) and (418) yields:
% 9.82/2.87  								| (320) $false
% 9.82/2.87  								|
% 9.82/2.87  								|-The branch is then unsatisfiable
% 9.82/2.87  							|-Branch two:
% 9.82/2.87  							| (450) m1_relset_1(all_0_26_26, all_147_0_83, all_0_27_27)
% 9.82/2.87  							| (451)  ~ v1_funct_2(all_0_25_25, all_147_0_83, all_0_27_27) |  ~ v1_funct_2(all_0_26_26, all_147_0_83, all_0_27_27)
% 9.82/2.87  							|
% 9.82/2.87  								+-Applying beta-rule and splitting (451), into two cases.
% 9.82/2.87  								|-Branch one:
% 9.82/2.87  								| (452)  ~ v1_funct_2(all_0_25_25, all_147_0_83, all_0_27_27)
% 9.82/2.87  								|
% 9.82/2.87  									| From (435) and (452) follows:
% 9.82/2.87  									| (423)  ~ v1_funct_2(all_0_25_25, all_29_0_39, all_0_27_27)
% 9.82/2.87  									|
% 9.82/2.87  									| Using (410) and (423) yields:
% 9.82/2.87  									| (320) $false
% 9.82/2.87  									|
% 9.82/2.87  									|-The branch is then unsatisfiable
% 9.82/2.87  								|-Branch two:
% 9.82/2.87  								| (455) v1_funct_2(all_0_25_25, all_147_0_83, all_0_27_27)
% 9.82/2.87  								| (456)  ~ v1_funct_2(all_0_26_26, all_147_0_83, all_0_27_27)
% 9.82/2.87  								|
% 9.82/2.87  									| From (435) and (456) follows:
% 9.82/2.87  									| (427)  ~ v1_funct_2(all_0_26_26, all_29_0_39, all_0_27_27)
% 9.82/2.87  									|
% 9.82/2.87  									| Using (411) and (427) yields:
% 9.82/2.87  									| (320) $false
% 9.82/2.87  									|
% 9.82/2.87  									|-The branch is then unsatisfiable
% 9.82/2.87  				|-Branch two:
% 9.82/2.87  				| (459)  ~ (all_0_22_22 = all_0_27_27)
% 9.82/2.87  				| (400)  ? [v0] : (k2_zfmisc_1(all_0_27_27, all_0_27_27) = v0 & ( ~ m1_relset_1(all_0_25_25, v0, all_0_27_27) |  ~ m1_relset_1(all_0_26_26, v0, all_0_27_27) |  ~ v1_funct_2(all_0_25_25, v0, all_0_27_27) |  ~ v1_funct_2(all_0_26_26, v0, all_0_27_27)))
% 9.82/2.87  				|
% 9.82/2.87  					| Instantiating (400) with all_135_0_86 yields:
% 9.82/2.87  					| (461) k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_135_0_86 & ( ~ m1_relset_1(all_0_25_25, all_135_0_86, all_0_27_27) |  ~ m1_relset_1(all_0_26_26, all_135_0_86, all_0_27_27) |  ~ v1_funct_2(all_0_25_25, all_135_0_86, all_0_27_27) |  ~ v1_funct_2(all_0_26_26, all_135_0_86, all_0_27_27))
% 9.82/2.87  					|
% 9.82/2.87  					| Applying alpha-rule on (461) yields:
% 9.82/2.87  					| (462) k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_135_0_86
% 9.82/2.87  					| (463)  ~ m1_relset_1(all_0_25_25, all_135_0_86, all_0_27_27) |  ~ m1_relset_1(all_0_26_26, all_135_0_86, all_0_27_27) |  ~ v1_funct_2(all_0_25_25, all_135_0_86, all_0_27_27) |  ~ v1_funct_2(all_0_26_26, all_135_0_86, all_0_27_27)
% 9.82/2.87  					|
% 9.82/2.87  					| Instantiating formula (66) with all_0_27_27, all_0_27_27, all_135_0_86, all_44_0_47 and discharging atoms k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_135_0_86, k2_zfmisc_1(all_0_27_27, all_0_27_27) = all_44_0_47, yields:
% 9.82/2.87  					| (464) all_135_0_86 = all_44_0_47
% 9.82/2.87  					|
% 9.82/2.87  					+-Applying beta-rule and splitting (463), into two cases.
% 9.82/2.87  					|-Branch one:
% 9.82/2.87  					| (465)  ~ m1_relset_1(all_0_25_25, all_135_0_86, all_0_27_27)
% 9.82/2.87  					|
% 9.82/2.87  						| From (464) and (465) follows:
% 9.82/2.87  						| (466)  ~ m1_relset_1(all_0_25_25, all_44_0_47, all_0_27_27)
% 9.82/2.87  						|
% 9.82/2.87  						| Using (356) and (466) yields:
% 9.82/2.87  						| (320) $false
% 9.82/2.87  						|
% 9.82/2.87  						|-The branch is then unsatisfiable
% 9.82/2.87  					|-Branch two:
% 9.82/2.87  					| (468) m1_relset_1(all_0_25_25, all_135_0_86, all_0_27_27)
% 9.82/2.87  					| (469)  ~ m1_relset_1(all_0_26_26, all_135_0_86, all_0_27_27) |  ~ v1_funct_2(all_0_25_25, all_135_0_86, all_0_27_27) |  ~ v1_funct_2(all_0_26_26, all_135_0_86, all_0_27_27)
% 9.82/2.87  					|
% 9.82/2.87  						+-Applying beta-rule and splitting (469), into two cases.
% 9.82/2.87  						|-Branch one:
% 9.82/2.87  						| (470)  ~ m1_relset_1(all_0_26_26, all_135_0_86, all_0_27_27)
% 9.82/2.87  						|
% 9.82/2.87  							| From (464) and (470) follows:
% 9.82/2.87  							| (471)  ~ m1_relset_1(all_0_26_26, all_44_0_47, all_0_27_27)
% 9.82/2.87  							|
% 9.82/2.87  							| Using (357) and (471) yields:
% 9.82/2.87  							| (320) $false
% 9.82/2.87  							|
% 9.82/2.87  							|-The branch is then unsatisfiable
% 9.82/2.87  						|-Branch two:
% 9.82/2.87  						| (473) m1_relset_1(all_0_26_26, all_135_0_86, all_0_27_27)
% 9.82/2.87  						| (474)  ~ v1_funct_2(all_0_25_25, all_135_0_86, all_0_27_27) |  ~ v1_funct_2(all_0_26_26, all_135_0_86, all_0_27_27)
% 9.82/2.87  						|
% 9.82/2.87  							+-Applying beta-rule and splitting (474), into two cases.
% 9.82/2.87  							|-Branch one:
% 9.82/2.87  							| (475)  ~ v1_funct_2(all_0_25_25, all_135_0_86, all_0_27_27)
% 9.82/2.87  							|
% 9.82/2.87  								| From (464) and (475) follows:
% 9.82/2.87  								| (476)  ~ v1_funct_2(all_0_25_25, all_44_0_47, all_0_27_27)
% 9.82/2.87  								|
% 9.82/2.87  								| Using (354) and (476) yields:
% 9.82/2.87  								| (320) $false
% 9.82/2.87  								|
% 9.82/2.87  								|-The branch is then unsatisfiable
% 9.82/2.87  							|-Branch two:
% 9.82/2.87  							| (478) v1_funct_2(all_0_25_25, all_135_0_86, all_0_27_27)
% 9.82/2.87  							| (479)  ~ v1_funct_2(all_0_26_26, all_135_0_86, all_0_27_27)
% 9.82/2.87  							|
% 9.82/2.87  								| From (464) and (479) follows:
% 9.82/2.87  								| (480)  ~ v1_funct_2(all_0_26_26, all_44_0_47, all_0_27_27)
% 9.82/2.87  								|
% 9.82/2.87  								| Using (355) and (480) yields:
% 9.82/2.87  								| (320) $false
% 9.82/2.87  								|
% 9.82/2.87  								|-The branch is then unsatisfiable
% 9.82/2.87  % SZS output end Proof for theBenchmark
% 9.82/2.88  
% 9.82/2.88  2297ms
%------------------------------------------------------------------------------