TSTP Solution File: TOP026+1 by ePrincess---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : TOP026+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n028.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 : Thu Jul 21 21:24:39 EDT 2022

% Result   : Theorem 4.35s 1.68s
% Output   : Proof 8.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : TOP026+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12  % Command  : ePrincess-casc -timeout=%d %s
% 0.12/0.32  % Computer : n028.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun May 29 09:15:18 EDT 2022
% 0.12/0.33  % 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/sandbox2/benchmark/theBenchmark.p ...
% 0.65/0.62  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.96/1.01  Prover 0: Preprocessing ...
% 3.16/1.39  Prover 0: Warning: ignoring some quantifiers
% 3.39/1.43  Prover 0: Constructing countermodel ...
% 4.35/1.68  Prover 0: proved (1060ms)
% 4.35/1.68  
% 4.35/1.68  No countermodel exists, formula is valid
% 4.35/1.68  % SZS status Theorem for theBenchmark
% 4.35/1.68  
% 4.35/1.68  Generating proof ... Warning: ignoring some quantifiers
% 7.32/2.37  found it (size 188)
% 7.32/2.37  
% 7.32/2.37  % SZS output start Proof for theBenchmark
% 7.32/2.37  Assumed formulas after preprocessing and simplification: 
% 7.32/2.37  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] : ( ~ (v7 = v5) & k6_pre_topc(v0, v4) = v5 & k3_tex_4(v0, v6) = v7 & k5_subset_1(v1, v3, v5) = v6 & u1_struct_0(v0) = v1 & k1_zfmisc_1(v1) = v2 & l1_struct_0(v10) & l1_struct_0(v9) & v1_xboole_0(k1_xboole_0) & v5_membered(v11) & v5_membered(k1_xboole_0) & v4_membered(v11) & v4_membered(k1_xboole_0) & v3_membered(v11) & v3_membered(k1_xboole_0) & v2_membered(v11) & v2_membered(k1_xboole_0) & v1_membered(v11) & v1_membered(k1_xboole_0) & v1_tsp_2(v3, v0) & m1_subset_1(v4, v2) & m1_subset_1(v3, v2) & l1_pre_topc(v8) & l1_pre_topc(v0) & v2_pre_topc(v0) &  ~ v1_xboole_0(v11) &  ~ v3_struct_0(v9) &  ~ v3_struct_0(v0) &  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : (v13 = v12 |  ~ (k5_subset_1(v16, v15, v14) = v13) |  ~ (k5_subset_1(v16, v15, v14) = v12)) &  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (k3_xboole_0(v13, v14) = v16) |  ~ (k1_zfmisc_1(v12) = v15) |  ~ m1_subset_1(v14, v15) |  ~ m1_subset_1(v13, v15) | k5_subset_1(v12, v13, v14) = v16) &  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : (v13 = v12 |  ~ (k6_pre_topc(v15, v14) = v13) |  ~ (k6_pre_topc(v15, v14) = v12)) &  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : (v13 = v12 |  ~ (k3_tex_4(v15, v14) = v13) |  ~ (k3_tex_4(v15, v14) = v12)) &  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : (v13 = v12 |  ~ (k3_xboole_0(v15, v14) = v13) |  ~ (k3_xboole_0(v15, v14) = v12)) &  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (k5_subset_1(v12, v14, v13) = v15) |  ? [v16] :  ? [v17] : (k5_subset_1(v12, v13, v14) = v17 & k1_zfmisc_1(v12) = v16 & (v17 = v15 |  ~ m1_subset_1(v14, v16) |  ~ m1_subset_1(v13, v16)))) &  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (k5_subset_1(v12, v13, v14) = v15) |  ? [v16] :  ? [v17] : (k5_subset_1(v12, v14, v13) = v17 & k1_zfmisc_1(v12) = v16 & (v17 = v15 |  ~ m1_subset_1(v14, v16) |  ~ m1_subset_1(v13, v16)))) &  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (k5_subset_1(v12, v13, v14) = v15) |  ? [v16] :  ? [v17] : (k3_xboole_0(v13, v14) = v17 & k1_zfmisc_1(v12) = v16 & (v17 = v15 |  ~ m1_subset_1(v14, v16) |  ~ m1_subset_1(v13, v16)))) &  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (k5_subset_1(v12, v13, v14) = v15) |  ? [v16] : (k1_zfmisc_1(v12) = v16 & ( ~ m1_subset_1(v14, v16) |  ~ m1_subset_1(v13, v16) | m1_subset_1(v15, v16)))) &  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (k1_zfmisc_1(v14) = v15) |  ~ v1_xboole_0(v14) |  ~ r2_hidden(v12, v13) |  ~ m1_subset_1(v13, v15)) &  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (k1_zfmisc_1(v14) = v15) |  ~ r2_hidden(v12, v13) |  ~ m1_subset_1(v13, v15) | m1_subset_1(v12, v14)) &  ? [v12] :  ! [v13] :  ! [v14] :  ! [v15] : (v15 = v14 |  ~ (k5_subset_1(v13, v14, v14) = v15) |  ? [v16] : (k1_zfmisc_1(v13) = v16 & ( ~ m1_subset_1(v14, v16) |  ~ m1_subset_1(v12, v16)))) &  ! [v12] :  ! [v13] :  ! [v14] : (v13 = v12 |  ~ (u1_struct_0(v14) = v13) |  ~ (u1_struct_0(v14) = v12)) &  ! [v12] :  ! [v13] :  ! [v14] : (v13 = v12 |  ~ (k1_zfmisc_1(v14) = v13) |  ~ (k1_zfmisc_1(v14) = v12)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k6_pre_topc(v12, v13) = v14) |  ~ l1_pre_topc(v12) |  ~ v2_pre_topc(v12) | v4_pre_topc(v14, v12) |  ? [v15] :  ? [v16] : (u1_struct_0(v12) = v15 & k1_zfmisc_1(v15) = v16 &  ~ m1_subset_1(v13, v16))) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k6_pre_topc(v12, v13) = v14) |  ~ l1_pre_topc(v12) |  ? [v15] :  ? [v16] : (u1_struct_0(v12) = v15 & k1_zfmisc_1(v15) = v16 & ( ~ m1_subset_1(v13, v16) | m1_subset_1(v14, v16)))) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_tex_4(v12, v13) = v14) |  ~ l1_pre_topc(v12) | v3_struct_0(v12) |  ? [v15] :  ? [v16] : (u1_struct_0(v12) = v15 & k1_zfmisc_1(v15) = v16 & ( ~ m1_subset_1(v13, v16) | m1_subset_1(v14, v16)))) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) |  ~ v5_membered(v12) | v5_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) |  ~ v5_membered(v12) | v4_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) |  ~ v5_membered(v12) | v3_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) |  ~ v5_membered(v12) | v2_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) |  ~ v5_membered(v12) | v1_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) |  ~ v4_membered(v12) | v4_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) |  ~ v4_membered(v12) | v3_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) |  ~ v4_membered(v12) | v2_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) |  ~ v4_membered(v12) | v1_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) |  ~ v3_membered(v12) | v3_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) |  ~ v3_membered(v12) | v2_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) |  ~ v3_membered(v12) | v1_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) |  ~ v2_membered(v12) | v2_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) |  ~ v2_membered(v12) | v1_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) |  ~ v1_membered(v12) | v1_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) | k3_xboole_0(v12, v13) = v14) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) |  ~ v5_membered(v12) | v5_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) |  ~ v5_membered(v12) | v4_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) |  ~ v5_membered(v12) | v3_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) |  ~ v5_membered(v12) | v2_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) |  ~ v5_membered(v12) | v1_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) |  ~ v4_membered(v12) | v4_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) |  ~ v4_membered(v12) | v3_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) |  ~ v4_membered(v12) | v2_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) |  ~ v4_membered(v12) | v1_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) |  ~ v3_membered(v12) | v3_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) |  ~ v3_membered(v12) | v2_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) |  ~ v3_membered(v12) | v1_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) |  ~ v2_membered(v12) | v2_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) |  ~ v2_membered(v12) | v1_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) |  ~ v1_membered(v12) | v1_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) | k3_xboole_0(v13, v12) = v14) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k1_zfmisc_1(v13) = v14) |  ~ r1_tarski(v12, v13) | m1_subset_1(v12, v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k1_zfmisc_1(v13) = v14) |  ~ m1_subset_1(v12, v14) | r1_tarski(v12, v13)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) |  ~ v5_membered(v12) |  ~ m1_subset_1(v14, v13) | v5_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) |  ~ v5_membered(v12) |  ~ m1_subset_1(v14, v13) | v4_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) |  ~ v5_membered(v12) |  ~ m1_subset_1(v14, v13) | v3_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) |  ~ v5_membered(v12) |  ~ m1_subset_1(v14, v13) | v2_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) |  ~ v5_membered(v12) |  ~ m1_subset_1(v14, v13) | v1_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) |  ~ v4_membered(v12) |  ~ m1_subset_1(v14, v13) | v4_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) |  ~ v4_membered(v12) |  ~ m1_subset_1(v14, v13) | v3_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) |  ~ v4_membered(v12) |  ~ m1_subset_1(v14, v13) | v2_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) |  ~ v4_membered(v12) |  ~ m1_subset_1(v14, v13) | v1_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) |  ~ v3_membered(v12) |  ~ m1_subset_1(v14, v13) | v3_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) |  ~ v3_membered(v12) |  ~ m1_subset_1(v14, v13) | v2_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) |  ~ v3_membered(v12) |  ~ m1_subset_1(v14, v13) | v1_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) |  ~ v2_membered(v12) |  ~ m1_subset_1(v14, v13) | v2_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) |  ~ v2_membered(v12) |  ~ m1_subset_1(v14, v13) | v1_membered(v14)) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) |  ~ v1_membered(v12) |  ~ m1_subset_1(v14, v13) | v1_membered(v14)) &  ! [v12] :  ! [v13] : (v13 = v12 |  ~ (k3_xboole_0(v12, v12) = v13)) &  ! [v12] :  ! [v13] : (v13 = v12 |  ~ v1_xboole_0(v13) |  ~ v1_xboole_0(v12)) &  ! [v12] :  ! [v13] : (v13 = k1_xboole_0 |  ~ (k3_xboole_0(v12, k1_xboole_0) = v13)) &  ! [v12] :  ! [v13] : ( ~ (u1_struct_0(v12) = v13) |  ~ l1_struct_0(v12) |  ~ v1_xboole_0(v13) | v3_struct_0(v12)) &  ! [v12] :  ! [v13] : ( ~ (u1_struct_0(v12) = v13) |  ~ l1_struct_0(v12) | v3_struct_0(v12) |  ? [v14] :  ? [v15] : (k1_zfmisc_1(v13) = v14 & m1_subset_1(v15, v14) &  ~ v1_xboole_0(v15))) &  ! [v12] :  ! [v13] : ( ~ (u1_struct_0(v12) = v13) |  ~ l1_pre_topc(v12) |  ~ v2_pre_topc(v12) | v3_struct_0(v12) |  ? [v14] :  ? [v15] : (k1_zfmisc_1(v13) = v14 & v3_pre_topc(v15, v12) & v4_pre_topc(v15, v12) & m1_subset_1(v15, v14) &  ~ v1_xboole_0(v15))) &  ! [v12] :  ! [v13] : ( ~ (u1_struct_0(v12) = v13) |  ~ l1_pre_topc(v12) |  ~ v2_pre_topc(v12) | v3_struct_0(v12) |  ? [v14] :  ? [v15] : (k1_zfmisc_1(v13) = v14 & v4_pre_topc(v15, v12) & m1_subset_1(v15, v14) &  ~ v1_xboole_0(v15))) &  ! [v12] :  ! [v13] : ( ~ (u1_struct_0(v12) = v13) |  ~ l1_pre_topc(v12) |  ~ v2_pre_topc(v12) | v3_struct_0(v12) |  ? [v14] : (k1_zfmisc_1(v13) = v14 &  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] : (v18 = v16 |  ~ (k3_tex_4(v12, v17) = v18) |  ~ (k5_subset_1(v13, v15, v16) = v17) |  ~ v4_pre_topc(v16, v12) |  ~ v1_tsp_2(v15, v12) |  ~ m1_subset_1(v16, v14) |  ~ m1_subset_1(v15, v14)))) &  ! [v12] :  ! [v13] : ( ~ (u1_struct_0(v12) = v13) |  ~ l1_pre_topc(v12) |  ~ v2_pre_topc(v12) |  ? [v14] :  ? [v15] : (k1_zfmisc_1(v13) = v14 & v1_xboole_0(v15) & v3_pre_topc(v15, v12) & v4_pre_topc(v15, v12) & v2_tops_1(v15, v12) & v3_tops_1(v15, v12) & v5_membered(v15) & v4_membered(v15) & v3_membered(v15) & v2_membered(v15) & v1_membered(v15) & m1_subset_1(v15, v14))) &  ! [v12] :  ! [v13] : ( ~ (u1_struct_0(v12) = v13) |  ~ l1_pre_topc(v12) |  ~ v2_pre_topc(v12) |  ? [v14] :  ? [v15] : (k1_zfmisc_1(v13) = v14 & v3_pre_topc(v15, v12) & v4_pre_topc(v15, v12) & m1_subset_1(v15, v14))) &  ! [v12] :  ! [v13] : ( ~ (u1_struct_0(v12) = v13) |  ~ l1_pre_topc(v12) |  ~ v2_pre_topc(v12) |  ? [v14] :  ? [v15] : (k1_zfmisc_1(v13) = v14 & v3_pre_topc(v15, v12) & m1_subset_1(v15, v14))) &  ! [v12] :  ! [v13] : ( ~ (u1_struct_0(v12) = v13) |  ~ l1_pre_topc(v12) |  ~ v2_pre_topc(v12) |  ? [v14] :  ? [v15] : (k1_zfmisc_1(v13) = v14 & v4_pre_topc(v15, v12) & m1_subset_1(v15, v14))) &  ! [v12] :  ! [v13] : ( ~ (u1_struct_0(v12) = v13) |  ~ l1_pre_topc(v12) |  ~ v2_pre_topc(v12) |  ? [v14] : (k1_zfmisc_1(v13) = v14 &  ! [v15] : ( ~ v1_xboole_0(v15) |  ~ m1_subset_1(v15, v14) | v3_pre_topc(v15, v12)) &  ! [v15] : ( ~ v1_xboole_0(v15) |  ~ m1_subset_1(v15, v14) | v4_pre_topc(v15, v12)))) &  ! [v12] :  ! [v13] : ( ~ (u1_struct_0(v12) = v13) |  ~ l1_pre_topc(v12) |  ~ v2_pre_topc(v12) |  ? [v14] : (k1_zfmisc_1(v13) = v14 &  ! [v15] : ( ~ v1_xboole_0(v15) |  ~ m1_subset_1(v15, v14) | v3_tops_1(v15, v12)))) &  ! [v12] :  ! [v13] : ( ~ (u1_struct_0(v12) = v13) |  ~ l1_pre_topc(v12) |  ~ v2_pre_topc(v12) |  ? [v14] : (k1_zfmisc_1(v13) = v14 &  ! [v15] : ( ~ v3_pre_topc(v15, v12) |  ~ v3_tops_1(v15, v12) |  ~ m1_subset_1(v15, v14) | v1_xboole_0(v15)) &  ! [v15] : ( ~ v3_pre_topc(v15, v12) |  ~ v3_tops_1(v15, v12) |  ~ m1_subset_1(v15, v14) | v4_pre_topc(v15, v12)) &  ! [v15] : ( ~ v3_pre_topc(v15, v12) |  ~ v3_tops_1(v15, v12) |  ~ m1_subset_1(v15, v14) | v2_tops_1(v15, v12)) &  ! [v15] : ( ~ v3_pre_topc(v15, v12) |  ~ v3_tops_1(v15, v12) |  ~ m1_subset_1(v15, v14) | v5_membered(v15)) &  ! [v15] : ( ~ v3_pre_topc(v15, v12) |  ~ v3_tops_1(v15, v12) |  ~ m1_subset_1(v15, v14) | v4_membered(v15)) &  ! [v15] : ( ~ v3_pre_topc(v15, v12) |  ~ v3_tops_1(v15, v12) |  ~ m1_subset_1(v15, v14) | v3_membered(v15)) &  ! [v15] : ( ~ v3_pre_topc(v15, v12) |  ~ v3_tops_1(v15, v12) |  ~ m1_subset_1(v15, v14) | v2_membered(v15)) &  ! [v15] : ( ~ v3_pre_topc(v15, v12) |  ~ v3_tops_1(v15, v12) |  ~ m1_subset_1(v15, v14) | v1_membered(v15)))) &  ! [v12] :  ! [v13] : ( ~ (u1_struct_0(v12) = v13) |  ~ l1_pre_topc(v12) |  ~ v2_pre_topc(v12) |  ? [v14] : (k1_zfmisc_1(v13) = v14 &  ! [v15] : ( ~ v4_pre_topc(v15, v12) |  ~ v2_tops_1(v15, v12) |  ~ m1_subset_1(v15, v14) | v3_tops_1(v15, v12)))) &  ! [v12] :  ! [v13] : ( ~ (u1_struct_0(v12) = v13) |  ~ l1_pre_topc(v12) |  ~ v2_pre_topc(v12) |  ? [v14] : (k1_zfmisc_1(v13) = v14 &  ! [v15] : ( ~ v3_tops_1(v15, v12) |  ~ m1_subset_1(v15, v14) | v2_tops_1(v15, v12)))) &  ! [v12] :  ! [v13] : ( ~ (u1_struct_0(v12) = v13) |  ~ l1_pre_topc(v12) |  ? [v14] :  ? [v15] : (k1_zfmisc_1(v13) = v14 & v1_xboole_0(v15) & v2_tops_1(v15, v12) & v5_membered(v15) & v4_membered(v15) & v3_membered(v15) & v2_membered(v15) & v1_membered(v15) & m1_subset_1(v15, v14))) &  ! [v12] :  ! [v13] : ( ~ (u1_struct_0(v12) = v13) |  ~ l1_pre_topc(v12) |  ? [v14] : (k1_zfmisc_1(v13) = v14 &  ! [v15] : ( ~ v1_xboole_0(v15) |  ~ m1_subset_1(v15, v14) | v2_tops_1(v15, v12)))) &  ! [v12] :  ! [v13] : ( ~ (k1_zfmisc_1(v12) = v13) |  ~ v1_xboole_0(v13)) &  ! [v12] :  ! [v13] : ( ~ (k1_zfmisc_1(v12) = v13) | v1_xboole_0(v12) |  ? [v14] : (m1_subset_1(v14, v13) &  ~ v1_xboole_0(v14))) &  ! [v12] :  ! [v13] : ( ~ (k1_zfmisc_1(v12) = v13) |  ? [v14] : (v1_xboole_0(v14) & m1_subset_1(v14, v13))) &  ! [v12] :  ! [v13] : ( ~ v1_xboole_0(v13) |  ~ r2_hidden(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ v5_membered(v12) |  ~ m1_subset_1(v13, v12) | v4_ordinal2(v13)) &  ! [v12] :  ! [v13] : ( ~ v5_membered(v12) |  ~ m1_subset_1(v13, v12) | v1_int_1(v13)) &  ! [v12] :  ! [v13] : ( ~ v5_membered(v12) |  ~ m1_subset_1(v13, v12) | v1_rat_1(v13)) &  ! [v12] :  ! [v13] : ( ~ v5_membered(v12) |  ~ m1_subset_1(v13, v12) | v1_xreal_0(v13)) &  ! [v12] :  ! [v13] : ( ~ v5_membered(v12) |  ~ m1_subset_1(v13, v12) | v1_xcmplx_0(v13)) &  ! [v12] :  ! [v13] : ( ~ v4_membered(v12) |  ~ m1_subset_1(v13, v12) | v1_int_1(v13)) &  ! [v12] :  ! [v13] : ( ~ v4_membered(v12) |  ~ m1_subset_1(v13, v12) | v1_rat_1(v13)) &  ! [v12] :  ! [v13] : ( ~ v4_membered(v12) |  ~ m1_subset_1(v13, v12) | v1_xreal_0(v13)) &  ! [v12] :  ! [v13] : ( ~ v4_membered(v12) |  ~ m1_subset_1(v13, v12) | v1_xcmplx_0(v13)) &  ! [v12] :  ! [v13] : ( ~ v3_membered(v12) |  ~ m1_subset_1(v13, v12) | v1_rat_1(v13)) &  ! [v12] :  ! [v13] : ( ~ v3_membered(v12) |  ~ m1_subset_1(v13, v12) | v1_xreal_0(v13)) &  ! [v12] :  ! [v13] : ( ~ v3_membered(v12) |  ~ m1_subset_1(v13, v12) | v1_xcmplx_0(v13)) &  ! [v12] :  ! [v13] : ( ~ v2_membered(v12) |  ~ m1_subset_1(v13, v12) | v1_xreal_0(v13)) &  ! [v12] :  ! [v13] : ( ~ v2_membered(v12) |  ~ m1_subset_1(v13, v12) | v1_xcmplx_0(v13)) &  ! [v12] :  ! [v13] : ( ~ v1_membered(v12) |  ~ m1_subset_1(v13, v12) | v1_xcmplx_0(v13)) &  ! [v12] :  ! [v13] : ( ~ r2_hidden(v13, v12) |  ~ r2_hidden(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ r2_hidden(v12, v13) | m1_subset_1(v12, v13)) &  ! [v12] :  ! [v13] : ( ~ m1_subset_1(v12, v13) | v1_xboole_0(v13) | r2_hidden(v12, v13)) &  ! [v12] : (v12 = k1_xboole_0 |  ~ v1_xboole_0(v12)) &  ! [v12] : ( ~ v1_xboole_0(v12) | v5_membered(v12)) &  ! [v12] : ( ~ v1_xboole_0(v12) | v4_membered(v12)) &  ! [v12] : ( ~ v1_xboole_0(v12) | v3_membered(v12)) &  ! [v12] : ( ~ v1_xboole_0(v12) | v2_membered(v12)) &  ! [v12] : ( ~ v1_xboole_0(v12) | v1_membered(v12)) &  ! [v12] : ( ~ v5_membered(v12) | v4_membered(v12)) &  ! [v12] : ( ~ v4_membered(v12) | v3_membered(v12)) &  ! [v12] : ( ~ v3_membered(v12) | v2_membered(v12)) &  ! [v12] : ( ~ v2_membered(v12) | v1_membered(v12)) &  ! [v12] : ( ~ l1_pre_topc(v12) | l1_struct_0(v12)) &  ? [v12] :  ? [v13] : m1_subset_1(v13, v12) &  ? [v12] : r1_tarski(v12, v12))
% 7.90/2.43  | 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 yields:
% 7.90/2.43  | (1)  ~ (all_0_4_4 = all_0_6_6) & k6_pre_topc(all_0_11_11, all_0_7_7) = all_0_6_6 & k3_tex_4(all_0_11_11, all_0_5_5) = all_0_4_4 & k5_subset_1(all_0_10_10, all_0_8_8, all_0_6_6) = all_0_5_5 & u1_struct_0(all_0_11_11) = all_0_10_10 & k1_zfmisc_1(all_0_10_10) = all_0_9_9 & l1_struct_0(all_0_1_1) & l1_struct_0(all_0_2_2) & v1_xboole_0(k1_xboole_0) & v5_membered(all_0_0_0) & v5_membered(k1_xboole_0) & v4_membered(all_0_0_0) & v4_membered(k1_xboole_0) & v3_membered(all_0_0_0) & v3_membered(k1_xboole_0) & v2_membered(all_0_0_0) & v2_membered(k1_xboole_0) & v1_membered(all_0_0_0) & v1_membered(k1_xboole_0) & v1_tsp_2(all_0_8_8, all_0_11_11) & m1_subset_1(all_0_7_7, all_0_9_9) & m1_subset_1(all_0_8_8, all_0_9_9) & l1_pre_topc(all_0_3_3) & l1_pre_topc(all_0_11_11) & v2_pre_topc(all_0_11_11) &  ~ v1_xboole_0(all_0_0_0) &  ~ v3_struct_0(all_0_2_2) &  ~ v3_struct_0(all_0_11_11) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (k5_subset_1(v4, v3, v2) = v1) |  ~ (k5_subset_1(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (k3_xboole_0(v1, v2) = v4) |  ~ (k1_zfmisc_1(v0) = v3) |  ~ m1_subset_1(v2, v3) |  ~ m1_subset_1(v1, v3) | k5_subset_1(v0, v1, v2) = v4) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k6_pre_topc(v3, v2) = v1) |  ~ (k6_pre_topc(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k3_tex_4(v3, v2) = v1) |  ~ (k3_tex_4(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k3_xboole_0(v3, v2) = v1) |  ~ (k3_xboole_0(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k5_subset_1(v0, v2, v1) = v3) |  ? [v4] :  ? [v5] : (k5_subset_1(v0, v1, v2) = v5 & k1_zfmisc_1(v0) = v4 & (v5 = v3 |  ~ m1_subset_1(v2, v4) |  ~ m1_subset_1(v1, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k5_subset_1(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] : (k5_subset_1(v0, v2, v1) = v5 & k1_zfmisc_1(v0) = v4 & (v5 = v3 |  ~ m1_subset_1(v2, v4) |  ~ m1_subset_1(v1, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k5_subset_1(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] : (k3_xboole_0(v1, v2) = v5 & k1_zfmisc_1(v0) = v4 & (v5 = v3 |  ~ m1_subset_1(v2, v4) |  ~ m1_subset_1(v1, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k5_subset_1(v0, v1, v2) = v3) |  ? [v4] : (k1_zfmisc_1(v0) = v4 & ( ~ m1_subset_1(v2, v4) |  ~ m1_subset_1(v1, v4) | m1_subset_1(v3, 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] : (v3 = v2 |  ~ (k5_subset_1(v1, v2, v2) = v3) |  ? [v4] : (k1_zfmisc_1(v1) = v4 & ( ~ m1_subset_1(v2, v4) |  ~ m1_subset_1(v0, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (u1_struct_0(v2) = v1) |  ~ (u1_struct_0(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k1_zfmisc_1(v2) = v1) |  ~ (k1_zfmisc_1(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k6_pre_topc(v0, v1) = v2) |  ~ l1_pre_topc(v0) |  ~ v2_pre_topc(v0) | v4_pre_topc(v2, v0) |  ? [v3] :  ? [v4] : (u1_struct_0(v0) = v3 & k1_zfmisc_1(v3) = v4 &  ~ m1_subset_1(v1, v4))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k6_pre_topc(v0, v1) = v2) |  ~ l1_pre_topc(v0) |  ? [v3] :  ? [v4] : (u1_struct_0(v0) = v3 & k1_zfmisc_1(v3) = v4 & ( ~ m1_subset_1(v1, v4) | m1_subset_1(v2, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_tex_4(v0, v1) = v2) |  ~ l1_pre_topc(v0) | v3_struct_0(v0) |  ? [v3] :  ? [v4] : (u1_struct_0(v0) = v3 & k1_zfmisc_1(v3) = v4 & ( ~ m1_subset_1(v1, v4) | m1_subset_1(v2, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v5_membered(v0) | v5_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v5_membered(v0) | v4_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v5_membered(v0) | v3_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v5_membered(v0) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v5_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v4_membered(v0) | v4_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v4_membered(v0) | v3_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v4_membered(v0) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v4_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v3_membered(v0) | v3_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v3_membered(v0) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v3_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v2_membered(v0) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v2_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v1_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | k3_xboole_0(v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v5_membered(v0) | v5_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v5_membered(v0) | v4_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v5_membered(v0) | v3_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v5_membered(v0) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v5_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v4_membered(v0) | v4_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v4_membered(v0) | v3_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v4_membered(v0) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v4_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v3_membered(v0) | v3_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v3_membered(v0) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v3_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v2_membered(v0) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v2_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v1_membered(v0) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | k3_xboole_0(v1, v0) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) |  ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) |  ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v5_membered(v0) |  ~ m1_subset_1(v2, v1) | v5_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v5_membered(v0) |  ~ m1_subset_1(v2, v1) | v4_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v5_membered(v0) |  ~ m1_subset_1(v2, v1) | v3_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v5_membered(v0) |  ~ m1_subset_1(v2, v1) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v5_membered(v0) |  ~ m1_subset_1(v2, v1) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v4_membered(v0) |  ~ m1_subset_1(v2, v1) | v4_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v4_membered(v0) |  ~ m1_subset_1(v2, v1) | v3_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v4_membered(v0) |  ~ m1_subset_1(v2, v1) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v4_membered(v0) |  ~ m1_subset_1(v2, v1) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v3_membered(v0) |  ~ m1_subset_1(v2, v1) | v3_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v3_membered(v0) |  ~ m1_subset_1(v2, v1) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v3_membered(v0) |  ~ m1_subset_1(v2, v1) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v2_membered(v0) |  ~ m1_subset_1(v2, v1) | v2_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v2_membered(v0) |  ~ m1_subset_1(v2, v1) | v1_membered(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v1_membered(v0) |  ~ m1_subset_1(v2, v1) | v1_membered(v2)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (k3_xboole_0(v0, v0) = v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ v1_xboole_0(v1) |  ~ v1_xboole_0(v0)) &  ! [v0] :  ! [v1] : (v1 = k1_xboole_0 |  ~ (k3_xboole_0(v0, k1_xboole_0) = 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_pre_topc(v0) |  ~ v2_pre_topc(v0) | v3_struct_0(v0) |  ? [v2] :  ? [v3] : (k1_zfmisc_1(v1) = v2 & v3_pre_topc(v3, v0) & v4_pre_topc(v3, v0) & m1_subset_1(v3, v2) &  ~ v1_xboole_0(v3))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_pre_topc(v0) |  ~ v2_pre_topc(v0) | v3_struct_0(v0) |  ? [v2] :  ? [v3] : (k1_zfmisc_1(v1) = v2 & v4_pre_topc(v3, v0) & m1_subset_1(v3, v2) &  ~ v1_xboole_0(v3))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_pre_topc(v0) |  ~ v2_pre_topc(v0) | v3_struct_0(v0) |  ? [v2] : (k1_zfmisc_1(v1) = v2 &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = v4 |  ~ (k3_tex_4(v0, v5) = v6) |  ~ (k5_subset_1(v1, v3, v4) = v5) |  ~ v4_pre_topc(v4, v0) |  ~ v1_tsp_2(v3, v0) |  ~ m1_subset_1(v4, v2) |  ~ m1_subset_1(v3, v2)))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_pre_topc(v0) |  ~ v2_pre_topc(v0) |  ? [v2] :  ? [v3] : (k1_zfmisc_1(v1) = v2 & v1_xboole_0(v3) & v3_pre_topc(v3, v0) & v4_pre_topc(v3, v0) & v2_tops_1(v3, v0) & v3_tops_1(v3, v0) & v5_membered(v3) & v4_membered(v3) & v3_membered(v3) & v2_membered(v3) & v1_membered(v3) & m1_subset_1(v3, v2))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_pre_topc(v0) |  ~ v2_pre_topc(v0) |  ? [v2] :  ? [v3] : (k1_zfmisc_1(v1) = v2 & v3_pre_topc(v3, v0) & v4_pre_topc(v3, v0) & m1_subset_1(v3, v2))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_pre_topc(v0) |  ~ v2_pre_topc(v0) |  ? [v2] :  ? [v3] : (k1_zfmisc_1(v1) = v2 & v3_pre_topc(v3, v0) & m1_subset_1(v3, v2))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_pre_topc(v0) |  ~ v2_pre_topc(v0) |  ? [v2] :  ? [v3] : (k1_zfmisc_1(v1) = v2 & v4_pre_topc(v3, v0) & m1_subset_1(v3, v2))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_pre_topc(v0) |  ~ v2_pre_topc(v0) |  ? [v2] : (k1_zfmisc_1(v1) = v2 &  ! [v3] : ( ~ v1_xboole_0(v3) |  ~ m1_subset_1(v3, v2) | v3_pre_topc(v3, v0)) &  ! [v3] : ( ~ v1_xboole_0(v3) |  ~ m1_subset_1(v3, v2) | v4_pre_topc(v3, v0)))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_pre_topc(v0) |  ~ v2_pre_topc(v0) |  ? [v2] : (k1_zfmisc_1(v1) = v2 &  ! [v3] : ( ~ v1_xboole_0(v3) |  ~ m1_subset_1(v3, v2) | v3_tops_1(v3, v0)))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_pre_topc(v0) |  ~ v2_pre_topc(v0) |  ? [v2] : (k1_zfmisc_1(v1) = v2 &  ! [v3] : ( ~ v3_pre_topc(v3, v0) |  ~ v3_tops_1(v3, v0) |  ~ m1_subset_1(v3, v2) | v1_xboole_0(v3)) &  ! [v3] : ( ~ v3_pre_topc(v3, v0) |  ~ v3_tops_1(v3, v0) |  ~ m1_subset_1(v3, v2) | v4_pre_topc(v3, v0)) &  ! [v3] : ( ~ v3_pre_topc(v3, v0) |  ~ v3_tops_1(v3, v0) |  ~ m1_subset_1(v3, v2) | v2_tops_1(v3, v0)) &  ! [v3] : ( ~ v3_pre_topc(v3, v0) |  ~ v3_tops_1(v3, v0) |  ~ m1_subset_1(v3, v2) | v5_membered(v3)) &  ! [v3] : ( ~ v3_pre_topc(v3, v0) |  ~ v3_tops_1(v3, v0) |  ~ m1_subset_1(v3, v2) | v4_membered(v3)) &  ! [v3] : ( ~ v3_pre_topc(v3, v0) |  ~ v3_tops_1(v3, v0) |  ~ m1_subset_1(v3, v2) | v3_membered(v3)) &  ! [v3] : ( ~ v3_pre_topc(v3, v0) |  ~ v3_tops_1(v3, v0) |  ~ m1_subset_1(v3, v2) | v2_membered(v3)) &  ! [v3] : ( ~ v3_pre_topc(v3, v0) |  ~ v3_tops_1(v3, v0) |  ~ m1_subset_1(v3, v2) | v1_membered(v3)))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_pre_topc(v0) |  ~ v2_pre_topc(v0) |  ? [v2] : (k1_zfmisc_1(v1) = v2 &  ! [v3] : ( ~ v4_pre_topc(v3, v0) |  ~ v2_tops_1(v3, v0) |  ~ m1_subset_1(v3, v2) | v3_tops_1(v3, v0)))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_pre_topc(v0) |  ~ v2_pre_topc(v0) |  ? [v2] : (k1_zfmisc_1(v1) = v2 &  ! [v3] : ( ~ v3_tops_1(v3, v0) |  ~ m1_subset_1(v3, v2) | v2_tops_1(v3, v0)))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_pre_topc(v0) |  ? [v2] :  ? [v3] : (k1_zfmisc_1(v1) = v2 & v1_xboole_0(v3) & v2_tops_1(v3, v0) & v5_membered(v3) & v4_membered(v3) & v3_membered(v3) & v2_membered(v3) & v1_membered(v3) & m1_subset_1(v3, v2))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_pre_topc(v0) |  ? [v2] : (k1_zfmisc_1(v1) = v2 &  ! [v3] : ( ~ v1_xboole_0(v3) |  ~ m1_subset_1(v3, v2) | v2_tops_1(v3, v0)))) &  ! [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] : ( ~ v1_xboole_0(v1) |  ~ r2_hidden(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ m1_subset_1(v1, v0) | v4_ordinal2(v1)) &  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_int_1(v1)) &  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_rat_1(v1)) &  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xreal_0(v1)) &  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) &  ! [v0] :  ! [v1] : ( ~ v4_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_int_1(v1)) &  ! [v0] :  ! [v1] : ( ~ v4_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_rat_1(v1)) &  ! [v0] :  ! [v1] : ( ~ v4_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xreal_0(v1)) &  ! [v0] :  ! [v1] : ( ~ v4_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) &  ! [v0] :  ! [v1] : ( ~ v3_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_rat_1(v1)) &  ! [v0] :  ! [v1] : ( ~ v3_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xreal_0(v1)) &  ! [v0] :  ! [v1] : ( ~ v3_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) &  ! [v0] :  ! [v1] : ( ~ v2_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xreal_0(v1)) &  ! [v0] :  ! [v1] : ( ~ v2_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) &  ! [v0] :  ! [v1] : ( ~ v1_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) &  ! [v0] :  ! [v1] : ( ~ r2_hidden(v1, v0) |  ~ r2_hidden(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1)) &  ! [v0] : (v0 = k1_xboole_0 |  ~ v1_xboole_0(v0)) &  ! [v0] : ( ~ v1_xboole_0(v0) | v5_membered(v0)) &  ! [v0] : ( ~ v1_xboole_0(v0) | v4_membered(v0)) &  ! [v0] : ( ~ v1_xboole_0(v0) | v3_membered(v0)) &  ! [v0] : ( ~ v1_xboole_0(v0) | v2_membered(v0)) &  ! [v0] : ( ~ v1_xboole_0(v0) | v1_membered(v0)) &  ! [v0] : ( ~ v5_membered(v0) | v4_membered(v0)) &  ! [v0] : ( ~ v4_membered(v0) | v3_membered(v0)) &  ! [v0] : ( ~ v3_membered(v0) | v2_membered(v0)) &  ! [v0] : ( ~ v2_membered(v0) | v1_membered(v0)) &  ! [v0] : ( ~ l1_pre_topc(v0) | l1_struct_0(v0)) &  ? [v0] :  ? [v1] : m1_subset_1(v1, v0) &  ? [v0] : r1_tarski(v0, v0)
% 7.90/2.45  |
% 7.90/2.45  | Applying alpha-rule on (1) yields:
% 7.90/2.45  | (2)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v4_membered(v0) | v2_membered(v2))
% 7.90/2.45  | (3)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v4_membered(v0) | v3_membered(v2))
% 7.90/2.45  | (4)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (u1_struct_0(v2) = v1) |  ~ (u1_struct_0(v2) = v0))
% 7.90/2.45  | (5)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v2_membered(v0) | v2_membered(v2))
% 7.90/2.45  | (6)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v4_membered(v0) | v4_membered(v2))
% 7.90/2.45  | (7)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k5_subset_1(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] : (k3_xboole_0(v1, v2) = v5 & k1_zfmisc_1(v0) = v4 & (v5 = v3 |  ~ m1_subset_1(v2, v4) |  ~ m1_subset_1(v1, v4))))
% 7.90/2.45  | (8)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v5_membered(v0) |  ~ m1_subset_1(v2, v1) | v3_membered(v2))
% 7.90/2.45  | (9)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) |  ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1))
% 7.90/2.45  | (10)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) |  ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2))
% 7.90/2.46  | (11)  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_int_1(v1))
% 7.90/2.46  | (12) v5_membered(all_0_0_0)
% 7.90/2.46  | (13) m1_subset_1(all_0_7_7, all_0_9_9)
% 7.90/2.46  | (14)  ~ v1_xboole_0(all_0_0_0)
% 7.90/2.46  | (15) l1_struct_0(all_0_2_2)
% 7.90/2.46  | (16)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_pre_topc(v0) |  ~ v2_pre_topc(v0) |  ? [v2] :  ? [v3] : (k1_zfmisc_1(v1) = v2 & v3_pre_topc(v3, v0) & m1_subset_1(v3, v2)))
% 7.90/2.46  | (17)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v5_membered(v0) | v4_membered(v2))
% 7.90/2.46  | (18)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v1_membered(v0) | v1_membered(v2))
% 7.90/2.46  | (19)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k5_subset_1(v0, v1, v2) = v3) |  ? [v4] : (k1_zfmisc_1(v0) = v4 & ( ~ m1_subset_1(v2, v4) |  ~ m1_subset_1(v1, v4) | m1_subset_1(v3, v4))))
% 7.90/2.46  | (20)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v1_membered(v0) |  ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 7.90/2.46  | (21)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v5_membered(v0) |  ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 7.90/2.46  | (22)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v2_membered(v0) | v2_membered(v2))
% 7.90/2.46  | (23)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k5_subset_1(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] : (k5_subset_1(v0, v2, v1) = v5 & k1_zfmisc_1(v0) = v4 & (v5 = v3 |  ~ m1_subset_1(v2, v4) |  ~ m1_subset_1(v1, v4))))
% 7.90/2.46  | (24)  ! [v0] :  ! [v1] : (v1 = k1_xboole_0 |  ~ (k3_xboole_0(v0, k1_xboole_0) = v1))
% 7.90/2.46  | (25)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v4_membered(v0) | v1_membered(v2))
% 7.90/2.46  | (26)  ! [v0] :  ! [v1] : ( ~ v4_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xreal_0(v1))
% 7.90/2.46  | (27)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k5_subset_1(v0, v2, v1) = v3) |  ? [v4] :  ? [v5] : (k5_subset_1(v0, v1, v2) = v5 & k1_zfmisc_1(v0) = v4 & (v5 = v3 |  ~ m1_subset_1(v2, v4) |  ~ m1_subset_1(v1, v4))))
% 7.90/2.46  | (28)  ! [v0] : ( ~ v5_membered(v0) | v4_membered(v0))
% 7.90/2.46  | (29)  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 7.90/2.46  | (30)  ! [v0] :  ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1))
% 7.90/2.46  | (31)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v3_membered(v0) |  ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 7.90/2.46  | (32) l1_struct_0(all_0_1_1)
% 7.90/2.46  | (33)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v3_membered(v0) | v2_membered(v2))
% 7.90/2.46  | (34) m1_subset_1(all_0_8_8, all_0_9_9)
% 7.90/2.46  | (35)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v3_membered(v0) |  ~ m1_subset_1(v2, v1) | v2_membered(v2))
% 7.90/2.46  | (36)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (k3_xboole_0(v1, v2) = v4) |  ~ (k1_zfmisc_1(v0) = v3) |  ~ m1_subset_1(v2, v3) |  ~ m1_subset_1(v1, v3) | k5_subset_1(v0, v1, v2) = v4)
% 7.90/2.46  | (37) v3_membered(all_0_0_0)
% 7.90/2.46  | (38) v4_membered(k1_xboole_0)
% 7.90/2.46  | (39)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v3_membered(v0) |  ~ m1_subset_1(v2, v1) | v3_membered(v2))
% 7.90/2.46  | (40)  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_rat_1(v1))
% 7.90/2.46  | (41)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_pre_topc(v0) |  ~ v2_pre_topc(v0) |  ? [v2] : (k1_zfmisc_1(v1) = v2 &  ! [v3] : ( ~ v4_pre_topc(v3, v0) |  ~ v2_tops_1(v3, v0) |  ~ m1_subset_1(v3, v2) | v3_tops_1(v3, v0))))
% 7.90/2.46  | (42)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v5_membered(v0) |  ~ m1_subset_1(v2, v1) | v5_membered(v2))
% 7.90/2.46  | (43)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k1_zfmisc_1(v2) = v1) |  ~ (k1_zfmisc_1(v2) = v0))
% 7.90/2.46  | (44)  ? [v0] : r1_tarski(v0, v0)
% 7.90/2.46  | (45)  ~ (all_0_4_4 = all_0_6_6)
% 7.90/2.46  | (46)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v3_membered(v0) | v3_membered(v2))
% 7.90/2.46  | (47)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | k3_xboole_0(v1, v0) = v2)
% 7.90/2.46  | (48)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | k3_xboole_0(v0, v1) = v2)
% 7.90/2.46  | (49) l1_pre_topc(all_0_11_11)
% 7.90/2.46  | (50)  ! [v0] :  ! [v1] : ( ~ r2_hidden(v1, v0) |  ~ r2_hidden(v0, v1))
% 7.90/2.46  | (51)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v2_membered(v0) |  ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 7.90/2.46  | (52)  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v1_xboole_0(v1))
% 7.90/2.46  | (53)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_pre_topc(v0) |  ~ v2_pre_topc(v0) |  ? [v2] :  ? [v3] : (k1_zfmisc_1(v1) = v2 & v3_pre_topc(v3, v0) & v4_pre_topc(v3, v0) & m1_subset_1(v3, v2)))
% 7.90/2.46  | (54)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v4_membered(v0) |  ~ m1_subset_1(v2, v1) | v4_membered(v2))
% 7.90/2.46  | (55)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v1_membered(v0) | v1_membered(v2))
% 7.90/2.46  | (56)  ! [v0] :  ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1))
% 7.90/2.46  | (57)  ! [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)))
% 7.90/2.46  | (58)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_pre_topc(v0) |  ~ v2_pre_topc(v0) |  ? [v2] : (k1_zfmisc_1(v1) = v2 &  ! [v3] : ( ~ v1_xboole_0(v3) |  ~ m1_subset_1(v3, v2) | v3_pre_topc(v3, v0)) &  ! [v3] : ( ~ v1_xboole_0(v3) |  ~ m1_subset_1(v3, v2) | v4_pre_topc(v3, v0))))
% 7.90/2.47  | (59) k5_subset_1(all_0_10_10, all_0_8_8, all_0_6_6) = all_0_5_5
% 7.90/2.47  | (60)  ! [v0] :  ! [v1] : ( ~ v2_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 7.90/2.47  | (61)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v5_membered(v0) | v2_membered(v2))
% 7.90/2.47  | (62)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v2_membered(v0) |  ~ m1_subset_1(v2, v1) | v2_membered(v2))
% 7.90/2.47  | (63)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (k5_subset_1(v1, v2, v2) = v3) |  ? [v4] : (k1_zfmisc_1(v1) = v4 & ( ~ m1_subset_1(v2, v4) |  ~ m1_subset_1(v0, v4))))
% 7.90/2.47  | (64)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v3_membered(v0) | v3_membered(v2))
% 7.90/2.47  | (65) v2_membered(k1_xboole_0)
% 7.90/2.47  | (66)  ! [v0] :  ! [v1] : ( ~ v4_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_rat_1(v1))
% 7.90/2.47  | (67)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v5_membered(v0) | v1_membered(v2))
% 7.90/2.47  | (68)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_pre_topc(v0) |  ~ v2_pre_topc(v0) |  ? [v2] :  ? [v3] : (k1_zfmisc_1(v1) = v2 & v4_pre_topc(v3, v0) & m1_subset_1(v3, v2)))
% 7.90/2.47  | (69)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_pre_topc(v0) |  ~ v2_pre_topc(v0) | v3_struct_0(v0) |  ? [v2] : (k1_zfmisc_1(v1) = v2 &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = v4 |  ~ (k3_tex_4(v0, v5) = v6) |  ~ (k5_subset_1(v1, v3, v4) = v5) |  ~ v4_pre_topc(v4, v0) |  ~ v1_tsp_2(v3, v0) |  ~ m1_subset_1(v4, v2) |  ~ m1_subset_1(v3, v2))))
% 7.90/2.47  | (70)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v4_membered(v0) |  ~ m1_subset_1(v2, v1) | v2_membered(v2))
% 7.90/2.47  | (71)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v4_membered(v0) | v2_membered(v2))
% 7.90/2.47  | (72) k6_pre_topc(all_0_11_11, all_0_7_7) = all_0_6_6
% 7.90/2.47  | (73) v4_membered(all_0_0_0)
% 7.90/2.47  | (74)  ! [v0] : ( ~ v1_xboole_0(v0) | v1_membered(v0))
% 7.90/2.47  | (75)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_pre_topc(v0) |  ? [v2] : (k1_zfmisc_1(v1) = v2 &  ! [v3] : ( ~ v1_xboole_0(v3) |  ~ m1_subset_1(v3, v2) | v2_tops_1(v3, v0))))
% 7.90/2.47  | (76)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v2_membered(v0) | v1_membered(v2))
% 7.90/2.47  | (77)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k6_pre_topc(v0, v1) = v2) |  ~ l1_pre_topc(v0) |  ~ v2_pre_topc(v0) | v4_pre_topc(v2, v0) |  ? [v3] :  ? [v4] : (u1_struct_0(v0) = v3 & k1_zfmisc_1(v3) = v4 &  ~ m1_subset_1(v1, v4)))
% 7.90/2.47  | (78)  ! [v0] :  ! [v1] : ( ~ v3_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_rat_1(v1))
% 7.90/2.47  | (79)  ! [v0] : ( ~ v1_xboole_0(v0) | v4_membered(v0))
% 7.90/2.47  | (80)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v5_membered(v0) | v5_membered(v2))
% 7.90/2.47  | (81)  ! [v0] :  ! [v1] : ( ~ v1_xboole_0(v1) |  ~ r2_hidden(v0, v1))
% 7.90/2.47  | (82)  ! [v0] :  ! [v1] : ( ~ v2_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xreal_0(v1))
% 7.90/2.47  | (83) v1_tsp_2(all_0_8_8, all_0_11_11)
% 7.90/2.47  | (84) k1_zfmisc_1(all_0_10_10) = all_0_9_9
% 7.90/2.47  | (85)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_pre_topc(v0) |  ~ v2_pre_topc(v0) |  ? [v2] : (k1_zfmisc_1(v1) = v2 &  ! [v3] : ( ~ v3_tops_1(v3, v0) |  ~ m1_subset_1(v3, v2) | v2_tops_1(v3, v0))))
% 7.90/2.47  | (86) k3_tex_4(all_0_11_11, all_0_5_5) = all_0_4_4
% 7.90/2.47  | (87)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v5_membered(v0) | v1_membered(v2))
% 7.90/2.47  | (88)  ! [v0] : ( ~ v1_xboole_0(v0) | v3_membered(v0))
% 7.90/2.47  | (89)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (k5_subset_1(v4, v3, v2) = v1) |  ~ (k5_subset_1(v4, v3, v2) = v0))
% 7.90/2.47  | (90)  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ m1_subset_1(v1, v0) | v4_ordinal2(v1))
% 7.90/2.47  | (91)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ v1_xboole_0(v1) |  ~ v1_xboole_0(v0))
% 7.90/2.47  | (92)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k3_tex_4(v3, v2) = v1) |  ~ (k3_tex_4(v3, v2) = v0))
% 7.90/2.47  | (93)  ! [v0] : ( ~ v1_xboole_0(v0) | v5_membered(v0))
% 7.90/2.47  | (94)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_pre_topc(v0) |  ? [v2] :  ? [v3] : (k1_zfmisc_1(v1) = v2 & v1_xboole_0(v3) & v2_tops_1(v3, v0) & v5_membered(v3) & v4_membered(v3) & v3_membered(v3) & v2_membered(v3) & v1_membered(v3) & m1_subset_1(v3, v2)))
% 7.90/2.48  | (95)  ! [v0] : (v0 = k1_xboole_0 |  ~ v1_xboole_0(v0))
% 7.90/2.48  | (96)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v4_membered(v0) |  ~ m1_subset_1(v2, v1) | v3_membered(v2))
% 7.90/2.48  | (97)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) |  ~ r2_hidden(v0, v1) |  ~ m1_subset_1(v1, v3) | m1_subset_1(v0, v2))
% 7.90/2.48  | (98)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v5_membered(v0) |  ~ m1_subset_1(v2, v1) | v4_membered(v2))
% 7.90/2.48  | (99)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_struct_0(v0) |  ~ v1_xboole_0(v1) | v3_struct_0(v0))
% 7.90/2.48  | (100)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v5_membered(v0) | v4_membered(v2))
% 7.90/2.48  | (101)  ! [v0] : ( ~ v2_membered(v0) | v1_membered(v0))
% 7.90/2.48  | (102)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k3_xboole_0(v3, v2) = v1) |  ~ (k3_xboole_0(v3, v2) = v0))
% 7.90/2.48  | (103)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k6_pre_topc(v0, v1) = v2) |  ~ l1_pre_topc(v0) |  ? [v3] :  ? [v4] : (u1_struct_0(v0) = v3 & k1_zfmisc_1(v3) = v4 & ( ~ m1_subset_1(v1, v4) | m1_subset_1(v2, v4))))
% 7.90/2.48  | (104)  ! [v0] :  ! [v1] : ( ~ v4_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 7.90/2.48  | (105)  ! [v0] : ( ~ v3_membered(v0) | v2_membered(v0))
% 7.90/2.48  | (106)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (k3_xboole_0(v0, v0) = v1))
% 7.90/2.48  | (107) v3_membered(k1_xboole_0)
% 7.90/2.48  | (108)  ! [v0] : ( ~ v1_xboole_0(v0) | v2_membered(v0))
% 7.90/2.48  | (109) u1_struct_0(all_0_11_11) = all_0_10_10
% 7.90/2.48  | (110)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_pre_topc(v0) |  ~ v2_pre_topc(v0) |  ? [v2] : (k1_zfmisc_1(v1) = v2 &  ! [v3] : ( ~ v3_pre_topc(v3, v0) |  ~ v3_tops_1(v3, v0) |  ~ m1_subset_1(v3, v2) | v1_xboole_0(v3)) &  ! [v3] : ( ~ v3_pre_topc(v3, v0) |  ~ v3_tops_1(v3, v0) |  ~ m1_subset_1(v3, v2) | v4_pre_topc(v3, v0)) &  ! [v3] : ( ~ v3_pre_topc(v3, v0) |  ~ v3_tops_1(v3, v0) |  ~ m1_subset_1(v3, v2) | v2_tops_1(v3, v0)) &  ! [v3] : ( ~ v3_pre_topc(v3, v0) |  ~ v3_tops_1(v3, v0) |  ~ m1_subset_1(v3, v2) | v5_membered(v3)) &  ! [v3] : ( ~ v3_pre_topc(v3, v0) |  ~ v3_tops_1(v3, v0) |  ~ m1_subset_1(v3, v2) | v4_membered(v3)) &  ! [v3] : ( ~ v3_pre_topc(v3, v0) |  ~ v3_tops_1(v3, v0) |  ~ m1_subset_1(v3, v2) | v3_membered(v3)) &  ! [v3] : ( ~ v3_pre_topc(v3, v0) |  ~ v3_tops_1(v3, v0) |  ~ m1_subset_1(v3, v2) | v2_membered(v3)) &  ! [v3] : ( ~ v3_pre_topc(v3, v0) |  ~ v3_tops_1(v3, v0) |  ~ m1_subset_1(v3, v2) | v1_membered(v3))))
% 7.90/2.48  | (111)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_pre_topc(v0) |  ~ v2_pre_topc(v0) |  ? [v2] : (k1_zfmisc_1(v1) = v2 &  ! [v3] : ( ~ v1_xboole_0(v3) |  ~ m1_subset_1(v3, v2) | v3_tops_1(v3, v0))))
% 7.90/2.48  | (112)  ! [v0] :  ! [v1] : ( ~ v3_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 7.90/2.48  | (113) v1_xboole_0(k1_xboole_0)
% 7.90/2.48  | (114)  ! [v0] : ( ~ l1_pre_topc(v0) | l1_struct_0(v0))
% 7.90/2.48  | (115)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v4_membered(v0) | v1_membered(v2))
% 7.90/2.48  | (116)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v4_membered(v0) | v4_membered(v2))
% 7.90/2.48  | (117)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k6_pre_topc(v3, v2) = v1) |  ~ (k6_pre_topc(v3, v2) = v0))
% 7.90/2.48  | (118) v2_pre_topc(all_0_11_11)
% 7.90/2.48  | (119)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_pre_topc(v0) |  ~ v2_pre_topc(v0) |  ? [v2] :  ? [v3] : (k1_zfmisc_1(v1) = v2 & v1_xboole_0(v3) & v3_pre_topc(v3, v0) & v4_pre_topc(v3, v0) & v2_tops_1(v3, v0) & v3_tops_1(v3, v0) & v5_membered(v3) & v4_membered(v3) & v3_membered(v3) & v2_membered(v3) & v1_membered(v3) & m1_subset_1(v3, v2)))
% 7.90/2.48  | (120)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) |  ~ v1_xboole_0(v2) |  ~ r2_hidden(v0, v1) |  ~ m1_subset_1(v1, v3))
% 7.90/2.48  | (121)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v2_membered(v0) | v1_membered(v2))
% 7.90/2.48  | (122)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v5_membered(v0) | v3_membered(v2))
% 7.90/2.48  | (123)  ~ v3_struct_0(all_0_11_11)
% 7.90/2.48  | (124)  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_xboole_0(v0) |  ? [v2] : (m1_subset_1(v2, v1) &  ~ v1_xboole_0(v2)))
% 7.90/2.48  | (125) l1_pre_topc(all_0_3_3)
% 7.90/2.48  | (126)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v4_membered(v0) | v3_membered(v2))
% 7.90/2.48  | (127)  ! [v0] :  ! [v1] : ( ~ v4_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_int_1(v1))
% 7.90/2.48  | (128)  ! [v0] :  ! [v1] : ( ~ v1_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 7.90/2.48  | (129)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_pre_topc(v0) |  ~ v2_pre_topc(v0) | v3_struct_0(v0) |  ? [v2] :  ? [v3] : (k1_zfmisc_1(v1) = v2 & v4_pre_topc(v3, v0) & m1_subset_1(v3, v2) &  ~ v1_xboole_0(v3)))
% 7.90/2.48  | (130)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v3_membered(v0) | v1_membered(v2))
% 7.90/2.48  | (131)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v5_membered(v0) | v2_membered(v2))
% 7.90/2.48  | (132)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v5_membered(v0) | v5_membered(v2))
% 7.90/2.48  | (133)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_tex_4(v0, v1) = v2) |  ~ l1_pre_topc(v0) | v3_struct_0(v0) |  ? [v3] :  ? [v4] : (u1_struct_0(v0) = v3 & k1_zfmisc_1(v3) = v4 & ( ~ m1_subset_1(v1, v4) | m1_subset_1(v2, v4))))
% 7.90/2.48  | (134)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v4_membered(v0) |  ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 7.90/2.48  | (135)  ! [v0] :  ! [v1] : ( ~ v5_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xreal_0(v1))
% 7.90/2.48  | (136) v1_membered(k1_xboole_0)
% 7.90/2.48  | (137)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_pre_topc(v0) |  ~ v2_pre_topc(v0) | v3_struct_0(v0) |  ? [v2] :  ? [v3] : (k1_zfmisc_1(v1) = v2 & v3_pre_topc(v3, v0) & v4_pre_topc(v3, v0) & m1_subset_1(v3, v2) &  ~ v1_xboole_0(v3)))
% 7.90/2.48  | (138) v2_membered(all_0_0_0)
% 7.90/2.48  | (139)  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) |  ? [v2] : (v1_xboole_0(v2) & m1_subset_1(v2, v1)))
% 7.90/2.48  | (140)  ? [v0] :  ? [v1] : m1_subset_1(v1, v0)
% 7.90/2.48  | (141)  ~ v3_struct_0(all_0_2_2)
% 7.90/2.48  | (142) v5_membered(k1_xboole_0)
% 7.90/2.48  | (143)  ! [v0] :  ! [v1] : ( ~ v3_membered(v0) |  ~ m1_subset_1(v1, v0) | v1_xreal_0(v1))
% 7.90/2.48  | (144)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v5_membered(v0) |  ~ m1_subset_1(v2, v1) | v2_membered(v2))
% 7.90/2.48  | (145) v1_membered(all_0_0_0)
% 7.90/2.48  | (146)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v5_membered(v0) | v3_membered(v2))
% 7.90/2.48  | (147)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) |  ~ v3_membered(v0) | v2_membered(v2))
% 7.90/2.48  | (148)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) |  ~ v3_membered(v0) | v1_membered(v2))
% 7.90/2.48  | (149)  ! [v0] : ( ~ v4_membered(v0) | v3_membered(v0))
% 7.90/2.48  |
% 7.90/2.48  | Instantiating formula (27) with all_0_5_5, all_0_8_8, all_0_6_6, all_0_10_10 and discharging atoms k5_subset_1(all_0_10_10, all_0_8_8, all_0_6_6) = all_0_5_5, yields:
% 7.90/2.49  | (150)  ? [v0] :  ? [v1] : (k5_subset_1(all_0_10_10, all_0_6_6, all_0_8_8) = v1 & k1_zfmisc_1(all_0_10_10) = v0 & (v1 = all_0_5_5 |  ~ m1_subset_1(all_0_6_6, v0) |  ~ m1_subset_1(all_0_8_8, v0)))
% 7.90/2.49  |
% 7.90/2.49  | Instantiating formula (7) with all_0_5_5, all_0_6_6, all_0_8_8, all_0_10_10 and discharging atoms k5_subset_1(all_0_10_10, all_0_8_8, all_0_6_6) = all_0_5_5, yields:
% 7.90/2.49  | (151)  ? [v0] :  ? [v1] : (k3_xboole_0(all_0_8_8, all_0_6_6) = v1 & k1_zfmisc_1(all_0_10_10) = v0 & (v1 = all_0_5_5 |  ~ m1_subset_1(all_0_6_6, v0) |  ~ m1_subset_1(all_0_8_8, v0)))
% 7.90/2.49  |
% 7.90/2.49  | Instantiating formula (19) with all_0_5_5, all_0_6_6, all_0_8_8, all_0_10_10 and discharging atoms k5_subset_1(all_0_10_10, all_0_8_8, all_0_6_6) = all_0_5_5, yields:
% 7.90/2.49  | (152)  ? [v0] : (k1_zfmisc_1(all_0_10_10) = v0 & ( ~ m1_subset_1(all_0_6_6, v0) |  ~ m1_subset_1(all_0_8_8, v0) | m1_subset_1(all_0_5_5, v0)))
% 7.90/2.49  |
% 7.90/2.49  | Instantiating formula (103) with all_0_6_6, all_0_7_7, all_0_11_11 and discharging atoms k6_pre_topc(all_0_11_11, all_0_7_7) = all_0_6_6, l1_pre_topc(all_0_11_11), yields:
% 7.90/2.49  | (153)  ? [v0] :  ? [v1] : (u1_struct_0(all_0_11_11) = v0 & k1_zfmisc_1(v0) = v1 & ( ~ m1_subset_1(all_0_7_7, v1) | m1_subset_1(all_0_6_6, v1)))
% 7.90/2.49  |
% 7.90/2.49  | Instantiating formula (133) with all_0_4_4, all_0_5_5, all_0_11_11 and discharging atoms k3_tex_4(all_0_11_11, all_0_5_5) = all_0_4_4, l1_pre_topc(all_0_11_11),  ~ v3_struct_0(all_0_11_11), yields:
% 7.90/2.49  | (154)  ? [v0] :  ? [v1] : (u1_struct_0(all_0_11_11) = v0 & k1_zfmisc_1(v0) = v1 & ( ~ m1_subset_1(all_0_5_5, v1) | m1_subset_1(all_0_4_4, v1)))
% 7.90/2.49  |
% 7.90/2.49  | Instantiating formula (94) with all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, l1_pre_topc(all_0_11_11), yields:
% 7.90/2.49  | (155)  ? [v0] :  ? [v1] : (k1_zfmisc_1(all_0_10_10) = v0 & v1_xboole_0(v1) & v2_tops_1(v1, all_0_11_11) & v5_membered(v1) & v4_membered(v1) & v3_membered(v1) & v2_membered(v1) & v1_membered(v1) & m1_subset_1(v1, v0))
% 7.90/2.49  |
% 7.90/2.49  | Instantiating formula (75) with all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, l1_pre_topc(all_0_11_11), yields:
% 7.90/2.49  | (156)  ? [v0] : (k1_zfmisc_1(all_0_10_10) = v0 &  ! [v1] : ( ~ v1_xboole_0(v1) |  ~ m1_subset_1(v1, v0) | v2_tops_1(v1, all_0_11_11)))
% 7.90/2.49  |
% 7.90/2.49  | Instantiating formula (77) with all_0_6_6, all_0_7_7, all_0_11_11 and discharging atoms k6_pre_topc(all_0_11_11, all_0_7_7) = all_0_6_6, l1_pre_topc(all_0_11_11), v2_pre_topc(all_0_11_11), yields:
% 7.90/2.49  | (157) v4_pre_topc(all_0_6_6, all_0_11_11) |  ? [v0] :  ? [v1] : (u1_struct_0(all_0_11_11) = v0 & k1_zfmisc_1(v0) = v1 &  ~ m1_subset_1(all_0_7_7, v1))
% 7.90/2.49  |
% 7.90/2.49  | Instantiating formula (137) with all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, l1_pre_topc(all_0_11_11), v2_pre_topc(all_0_11_11),  ~ v3_struct_0(all_0_11_11), yields:
% 7.90/2.49  | (158)  ? [v0] :  ? [v1] : (k1_zfmisc_1(all_0_10_10) = v0 & v3_pre_topc(v1, all_0_11_11) & v4_pre_topc(v1, all_0_11_11) & m1_subset_1(v1, v0) &  ~ v1_xboole_0(v1))
% 7.90/2.49  |
% 7.90/2.49  | Instantiating formula (129) with all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, l1_pre_topc(all_0_11_11), v2_pre_topc(all_0_11_11),  ~ v3_struct_0(all_0_11_11), yields:
% 7.90/2.49  | (159)  ? [v0] :  ? [v1] : (k1_zfmisc_1(all_0_10_10) = v0 & v4_pre_topc(v1, all_0_11_11) & m1_subset_1(v1, v0) &  ~ v1_xboole_0(v1))
% 7.90/2.49  |
% 7.90/2.49  | Instantiating formula (69) with all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, l1_pre_topc(all_0_11_11), v2_pre_topc(all_0_11_11),  ~ v3_struct_0(all_0_11_11), yields:
% 7.90/2.49  | (160)  ? [v0] : (k1_zfmisc_1(all_0_10_10) = v0 &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v2 |  ~ (k3_tex_4(all_0_11_11, v3) = v4) |  ~ (k5_subset_1(all_0_10_10, v1, v2) = v3) |  ~ v4_pre_topc(v2, all_0_11_11) |  ~ v1_tsp_2(v1, all_0_11_11) |  ~ m1_subset_1(v2, v0) |  ~ m1_subset_1(v1, v0)))
% 7.90/2.49  |
% 7.90/2.49  | Instantiating formula (119) with all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, l1_pre_topc(all_0_11_11), v2_pre_topc(all_0_11_11), yields:
% 7.90/2.49  | (161)  ? [v0] :  ? [v1] : (k1_zfmisc_1(all_0_10_10) = v0 & v1_xboole_0(v1) & v3_pre_topc(v1, all_0_11_11) & v4_pre_topc(v1, all_0_11_11) & v2_tops_1(v1, all_0_11_11) & v3_tops_1(v1, all_0_11_11) & v5_membered(v1) & v4_membered(v1) & v3_membered(v1) & v2_membered(v1) & v1_membered(v1) & m1_subset_1(v1, v0))
% 7.90/2.49  |
% 7.90/2.49  | Instantiating formula (53) with all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, l1_pre_topc(all_0_11_11), v2_pre_topc(all_0_11_11), yields:
% 7.90/2.49  | (162)  ? [v0] :  ? [v1] : (k1_zfmisc_1(all_0_10_10) = v0 & v3_pre_topc(v1, all_0_11_11) & v4_pre_topc(v1, all_0_11_11) & m1_subset_1(v1, v0))
% 7.90/2.49  |
% 7.90/2.49  | Instantiating formula (16) with all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, l1_pre_topc(all_0_11_11), v2_pre_topc(all_0_11_11), yields:
% 7.90/2.49  | (163)  ? [v0] :  ? [v1] : (k1_zfmisc_1(all_0_10_10) = v0 & v3_pre_topc(v1, all_0_11_11) & m1_subset_1(v1, v0))
% 7.90/2.49  |
% 7.90/2.49  | Instantiating formula (68) with all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, l1_pre_topc(all_0_11_11), v2_pre_topc(all_0_11_11), yields:
% 7.90/2.49  | (164)  ? [v0] :  ? [v1] : (k1_zfmisc_1(all_0_10_10) = v0 & v4_pre_topc(v1, all_0_11_11) & m1_subset_1(v1, v0))
% 7.90/2.49  |
% 7.90/2.49  | Instantiating formula (58) with all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, l1_pre_topc(all_0_11_11), v2_pre_topc(all_0_11_11), yields:
% 7.90/2.49  | (165)  ? [v0] : (k1_zfmisc_1(all_0_10_10) = v0 &  ! [v1] : ( ~ v1_xboole_0(v1) |  ~ m1_subset_1(v1, v0) | v3_pre_topc(v1, all_0_11_11)) &  ! [v1] : ( ~ v1_xboole_0(v1) |  ~ m1_subset_1(v1, v0) | v4_pre_topc(v1, all_0_11_11)))
% 7.90/2.49  |
% 7.90/2.49  | Instantiating formula (111) with all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, l1_pre_topc(all_0_11_11), v2_pre_topc(all_0_11_11), yields:
% 7.90/2.49  | (166)  ? [v0] : (k1_zfmisc_1(all_0_10_10) = v0 &  ! [v1] : ( ~ v1_xboole_0(v1) |  ~ m1_subset_1(v1, v0) | v3_tops_1(v1, all_0_11_11)))
% 7.90/2.49  |
% 7.90/2.49  | Instantiating formula (110) with all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, l1_pre_topc(all_0_11_11), v2_pre_topc(all_0_11_11), yields:
% 7.90/2.49  | (167)  ? [v0] : (k1_zfmisc_1(all_0_10_10) = v0 &  ! [v1] : ( ~ v3_pre_topc(v1, all_0_11_11) |  ~ v3_tops_1(v1, all_0_11_11) |  ~ m1_subset_1(v1, v0) | v1_xboole_0(v1)) &  ! [v1] : ( ~ v3_pre_topc(v1, all_0_11_11) |  ~ v3_tops_1(v1, all_0_11_11) |  ~ m1_subset_1(v1, v0) | v4_pre_topc(v1, all_0_11_11)) &  ! [v1] : ( ~ v3_pre_topc(v1, all_0_11_11) |  ~ v3_tops_1(v1, all_0_11_11) |  ~ m1_subset_1(v1, v0) | v2_tops_1(v1, all_0_11_11)) &  ! [v1] : ( ~ v3_pre_topc(v1, all_0_11_11) |  ~ v3_tops_1(v1, all_0_11_11) |  ~ m1_subset_1(v1, v0) | v5_membered(v1)) &  ! [v1] : ( ~ v3_pre_topc(v1, all_0_11_11) |  ~ v3_tops_1(v1, all_0_11_11) |  ~ m1_subset_1(v1, v0) | v4_membered(v1)) &  ! [v1] : ( ~ v3_pre_topc(v1, all_0_11_11) |  ~ v3_tops_1(v1, all_0_11_11) |  ~ m1_subset_1(v1, v0) | v3_membered(v1)) &  ! [v1] : ( ~ v3_pre_topc(v1, all_0_11_11) |  ~ v3_tops_1(v1, all_0_11_11) |  ~ m1_subset_1(v1, v0) | v2_membered(v1)) &  ! [v1] : ( ~ v3_pre_topc(v1, all_0_11_11) |  ~ v3_tops_1(v1, all_0_11_11) |  ~ m1_subset_1(v1, v0) | v1_membered(v1)))
% 7.90/2.49  |
% 7.90/2.49  | Instantiating formula (41) with all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, l1_pre_topc(all_0_11_11), v2_pre_topc(all_0_11_11), yields:
% 7.90/2.49  | (168)  ? [v0] : (k1_zfmisc_1(all_0_10_10) = v0 &  ! [v1] : ( ~ v4_pre_topc(v1, all_0_11_11) |  ~ v2_tops_1(v1, all_0_11_11) |  ~ m1_subset_1(v1, v0) | v3_tops_1(v1, all_0_11_11)))
% 7.90/2.49  |
% 7.90/2.49  | Instantiating formula (85) with all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, l1_pre_topc(all_0_11_11), v2_pre_topc(all_0_11_11), yields:
% 7.90/2.49  | (169)  ? [v0] : (k1_zfmisc_1(all_0_10_10) = v0 &  ! [v1] : ( ~ v3_tops_1(v1, all_0_11_11) |  ~ m1_subset_1(v1, v0) | v2_tops_1(v1, all_0_11_11)))
% 7.90/2.49  |
% 7.90/2.49  | Instantiating (169) with all_15_0_16 yields:
% 7.90/2.49  | (170) k1_zfmisc_1(all_0_10_10) = all_15_0_16 &  ! [v0] : ( ~ v3_tops_1(v0, all_0_11_11) |  ~ m1_subset_1(v0, all_15_0_16) | v2_tops_1(v0, all_0_11_11))
% 7.90/2.49  |
% 7.90/2.49  | Applying alpha-rule on (170) yields:
% 7.90/2.49  | (171) k1_zfmisc_1(all_0_10_10) = all_15_0_16
% 7.90/2.49  | (172)  ! [v0] : ( ~ v3_tops_1(v0, all_0_11_11) |  ~ m1_subset_1(v0, all_15_0_16) | v2_tops_1(v0, all_0_11_11))
% 7.90/2.49  |
% 7.90/2.49  | Instantiating (164) with all_18_0_17, all_18_1_18 yields:
% 7.90/2.49  | (173) k1_zfmisc_1(all_0_10_10) = all_18_1_18 & v4_pre_topc(all_18_0_17, all_0_11_11) & m1_subset_1(all_18_0_17, all_18_1_18)
% 7.90/2.49  |
% 7.90/2.49  | Applying alpha-rule on (173) yields:
% 7.90/2.49  | (174) k1_zfmisc_1(all_0_10_10) = all_18_1_18
% 7.90/2.49  | (175) v4_pre_topc(all_18_0_17, all_0_11_11)
% 7.90/2.49  | (176) m1_subset_1(all_18_0_17, all_18_1_18)
% 7.90/2.49  |
% 7.90/2.49  | Instantiating (163) with all_20_0_19, all_20_1_20 yields:
% 7.90/2.49  | (177) k1_zfmisc_1(all_0_10_10) = all_20_1_20 & v3_pre_topc(all_20_0_19, all_0_11_11) & m1_subset_1(all_20_0_19, all_20_1_20)
% 7.90/2.49  |
% 7.90/2.49  | Applying alpha-rule on (177) yields:
% 7.90/2.49  | (178) k1_zfmisc_1(all_0_10_10) = all_20_1_20
% 7.90/2.49  | (179) v3_pre_topc(all_20_0_19, all_0_11_11)
% 7.90/2.49  | (180) m1_subset_1(all_20_0_19, all_20_1_20)
% 7.90/2.49  |
% 7.90/2.49  | Instantiating (160) with all_22_0_21 yields:
% 7.90/2.49  | (181) k1_zfmisc_1(all_0_10_10) = all_22_0_21 &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (k3_tex_4(all_0_11_11, v2) = v3) |  ~ (k5_subset_1(all_0_10_10, v0, v1) = v2) |  ~ v4_pre_topc(v1, all_0_11_11) |  ~ v1_tsp_2(v0, all_0_11_11) |  ~ m1_subset_1(v1, all_22_0_21) |  ~ m1_subset_1(v0, all_22_0_21))
% 7.90/2.49  |
% 7.90/2.49  | Applying alpha-rule on (181) yields:
% 7.90/2.49  | (182) k1_zfmisc_1(all_0_10_10) = all_22_0_21
% 7.90/2.49  | (183)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (k3_tex_4(all_0_11_11, v2) = v3) |  ~ (k5_subset_1(all_0_10_10, v0, v1) = v2) |  ~ v4_pre_topc(v1, all_0_11_11) |  ~ v1_tsp_2(v0, all_0_11_11) |  ~ m1_subset_1(v1, all_22_0_21) |  ~ m1_subset_1(v0, all_22_0_21))
% 7.90/2.49  |
% 7.90/2.49  | Instantiating (158) with all_25_0_22, all_25_1_23 yields:
% 7.90/2.49  | (184) k1_zfmisc_1(all_0_10_10) = all_25_1_23 & v3_pre_topc(all_25_0_22, all_0_11_11) & v4_pre_topc(all_25_0_22, all_0_11_11) & m1_subset_1(all_25_0_22, all_25_1_23) &  ~ v1_xboole_0(all_25_0_22)
% 7.90/2.49  |
% 7.90/2.49  | Applying alpha-rule on (184) yields:
% 7.90/2.49  | (185) v4_pre_topc(all_25_0_22, all_0_11_11)
% 7.90/2.49  | (186) k1_zfmisc_1(all_0_10_10) = all_25_1_23
% 7.90/2.49  | (187)  ~ v1_xboole_0(all_25_0_22)
% 7.90/2.49  | (188) v3_pre_topc(all_25_0_22, all_0_11_11)
% 7.90/2.49  | (189) m1_subset_1(all_25_0_22, all_25_1_23)
% 7.90/2.49  |
% 7.90/2.49  | Instantiating (159) with all_27_0_24, all_27_1_25 yields:
% 7.90/2.49  | (190) k1_zfmisc_1(all_0_10_10) = all_27_1_25 & v4_pre_topc(all_27_0_24, all_0_11_11) & m1_subset_1(all_27_0_24, all_27_1_25) &  ~ v1_xboole_0(all_27_0_24)
% 7.90/2.49  |
% 7.90/2.49  | Applying alpha-rule on (190) yields:
% 7.90/2.49  | (191) k1_zfmisc_1(all_0_10_10) = all_27_1_25
% 7.90/2.50  | (192) v4_pre_topc(all_27_0_24, all_0_11_11)
% 7.90/2.50  | (193) m1_subset_1(all_27_0_24, all_27_1_25)
% 7.90/2.50  | (194)  ~ v1_xboole_0(all_27_0_24)
% 7.90/2.50  |
% 7.90/2.50  | Instantiating (168) with all_29_0_26 yields:
% 7.90/2.50  | (195) k1_zfmisc_1(all_0_10_10) = all_29_0_26 &  ! [v0] : ( ~ v4_pre_topc(v0, all_0_11_11) |  ~ v2_tops_1(v0, all_0_11_11) |  ~ m1_subset_1(v0, all_29_0_26) | v3_tops_1(v0, all_0_11_11))
% 7.90/2.50  |
% 7.90/2.50  | Applying alpha-rule on (195) yields:
% 7.90/2.50  | (196) k1_zfmisc_1(all_0_10_10) = all_29_0_26
% 7.90/2.50  | (197)  ! [v0] : ( ~ v4_pre_topc(v0, all_0_11_11) |  ~ v2_tops_1(v0, all_0_11_11) |  ~ m1_subset_1(v0, all_29_0_26) | v3_tops_1(v0, all_0_11_11))
% 7.90/2.50  |
% 7.90/2.50  | Instantiating (167) with all_32_0_27 yields:
% 7.90/2.50  | (198) k1_zfmisc_1(all_0_10_10) = all_32_0_27 &  ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) |  ~ v3_tops_1(v0, all_0_11_11) |  ~ m1_subset_1(v0, all_32_0_27) | v1_xboole_0(v0)) &  ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) |  ~ v3_tops_1(v0, all_0_11_11) |  ~ m1_subset_1(v0, all_32_0_27) | v4_pre_topc(v0, all_0_11_11)) &  ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) |  ~ v3_tops_1(v0, all_0_11_11) |  ~ m1_subset_1(v0, all_32_0_27) | v2_tops_1(v0, all_0_11_11)) &  ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) |  ~ v3_tops_1(v0, all_0_11_11) |  ~ m1_subset_1(v0, all_32_0_27) | v5_membered(v0)) &  ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) |  ~ v3_tops_1(v0, all_0_11_11) |  ~ m1_subset_1(v0, all_32_0_27) | v4_membered(v0)) &  ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) |  ~ v3_tops_1(v0, all_0_11_11) |  ~ m1_subset_1(v0, all_32_0_27) | v3_membered(v0)) &  ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) |  ~ v3_tops_1(v0, all_0_11_11) |  ~ m1_subset_1(v0, all_32_0_27) | v2_membered(v0)) &  ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) |  ~ v3_tops_1(v0, all_0_11_11) |  ~ m1_subset_1(v0, all_32_0_27) | v1_membered(v0))
% 7.90/2.50  |
% 7.90/2.50  | Applying alpha-rule on (198) yields:
% 7.90/2.50  | (199)  ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) |  ~ v3_tops_1(v0, all_0_11_11) |  ~ m1_subset_1(v0, all_32_0_27) | v5_membered(v0))
% 7.90/2.50  | (200)  ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) |  ~ v3_tops_1(v0, all_0_11_11) |  ~ m1_subset_1(v0, all_32_0_27) | v2_membered(v0))
% 7.90/2.50  | (201)  ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) |  ~ v3_tops_1(v0, all_0_11_11) |  ~ m1_subset_1(v0, all_32_0_27) | v1_membered(v0))
% 7.90/2.50  | (202)  ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) |  ~ v3_tops_1(v0, all_0_11_11) |  ~ m1_subset_1(v0, all_32_0_27) | v1_xboole_0(v0))
% 7.90/2.50  | (203)  ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) |  ~ v3_tops_1(v0, all_0_11_11) |  ~ m1_subset_1(v0, all_32_0_27) | v2_tops_1(v0, all_0_11_11))
% 7.90/2.50  | (204)  ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) |  ~ v3_tops_1(v0, all_0_11_11) |  ~ m1_subset_1(v0, all_32_0_27) | v4_membered(v0))
% 7.90/2.50  | (205)  ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) |  ~ v3_tops_1(v0, all_0_11_11) |  ~ m1_subset_1(v0, all_32_0_27) | v3_membered(v0))
% 7.90/2.50  | (206) k1_zfmisc_1(all_0_10_10) = all_32_0_27
% 7.90/2.50  | (207)  ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) |  ~ v3_tops_1(v0, all_0_11_11) |  ~ m1_subset_1(v0, all_32_0_27) | v4_pre_topc(v0, all_0_11_11))
% 7.90/2.50  |
% 7.90/2.50  | Instantiating (155) with all_35_0_28, all_35_1_29 yields:
% 7.90/2.50  | (208) k1_zfmisc_1(all_0_10_10) = all_35_1_29 & v1_xboole_0(all_35_0_28) & v2_tops_1(all_35_0_28, all_0_11_11) & v5_membered(all_35_0_28) & v4_membered(all_35_0_28) & v3_membered(all_35_0_28) & v2_membered(all_35_0_28) & v1_membered(all_35_0_28) & m1_subset_1(all_35_0_28, all_35_1_29)
% 7.90/2.50  |
% 7.90/2.50  | Applying alpha-rule on (208) yields:
% 7.90/2.50  | (209) v5_membered(all_35_0_28)
% 7.90/2.50  | (210) v1_xboole_0(all_35_0_28)
% 7.90/2.50  | (211) m1_subset_1(all_35_0_28, all_35_1_29)
% 7.90/2.50  | (212) v3_membered(all_35_0_28)
% 7.90/2.50  | (213) v2_membered(all_35_0_28)
% 7.90/2.50  | (214) v4_membered(all_35_0_28)
% 7.90/2.50  | (215) v1_membered(all_35_0_28)
% 7.90/2.50  | (216) k1_zfmisc_1(all_0_10_10) = all_35_1_29
% 7.90/2.50  | (217) v2_tops_1(all_35_0_28, all_0_11_11)
% 7.90/2.50  |
% 7.90/2.50  | Instantiating (152) with all_39_0_31 yields:
% 7.90/2.50  | (218) k1_zfmisc_1(all_0_10_10) = all_39_0_31 & ( ~ m1_subset_1(all_0_6_6, all_39_0_31) |  ~ m1_subset_1(all_0_8_8, all_39_0_31) | m1_subset_1(all_0_5_5, all_39_0_31))
% 7.90/2.50  |
% 7.90/2.50  | Applying alpha-rule on (218) yields:
% 7.90/2.50  | (219) k1_zfmisc_1(all_0_10_10) = all_39_0_31
% 7.90/2.50  | (220)  ~ m1_subset_1(all_0_6_6, all_39_0_31) |  ~ m1_subset_1(all_0_8_8, all_39_0_31) | m1_subset_1(all_0_5_5, all_39_0_31)
% 7.90/2.50  |
% 7.90/2.50  | Instantiating (154) with all_41_0_32, all_41_1_33 yields:
% 7.90/2.50  | (221) u1_struct_0(all_0_11_11) = all_41_1_33 & k1_zfmisc_1(all_41_1_33) = all_41_0_32 & ( ~ m1_subset_1(all_0_5_5, all_41_0_32) | m1_subset_1(all_0_4_4, all_41_0_32))
% 7.90/2.50  |
% 7.90/2.50  | Applying alpha-rule on (221) yields:
% 7.90/2.50  | (222) u1_struct_0(all_0_11_11) = all_41_1_33
% 7.90/2.50  | (223) k1_zfmisc_1(all_41_1_33) = all_41_0_32
% 7.90/2.50  | (224)  ~ m1_subset_1(all_0_5_5, all_41_0_32) | m1_subset_1(all_0_4_4, all_41_0_32)
% 7.90/2.50  |
% 7.90/2.50  | Instantiating (166) with all_43_0_34 yields:
% 7.90/2.50  | (225) k1_zfmisc_1(all_0_10_10) = all_43_0_34 &  ! [v0] : ( ~ v1_xboole_0(v0) |  ~ m1_subset_1(v0, all_43_0_34) | v3_tops_1(v0, all_0_11_11))
% 7.90/2.50  |
% 7.90/2.50  | Applying alpha-rule on (225) yields:
% 7.90/2.50  | (226) k1_zfmisc_1(all_0_10_10) = all_43_0_34
% 7.90/2.50  | (227)  ! [v0] : ( ~ v1_xboole_0(v0) |  ~ m1_subset_1(v0, all_43_0_34) | v3_tops_1(v0, all_0_11_11))
% 7.90/2.50  |
% 7.90/2.50  | Instantiating (165) with all_46_0_35 yields:
% 7.90/2.50  | (228) k1_zfmisc_1(all_0_10_10) = all_46_0_35 &  ! [v0] : ( ~ v1_xboole_0(v0) |  ~ m1_subset_1(v0, all_46_0_35) | v3_pre_topc(v0, all_0_11_11)) &  ! [v0] : ( ~ v1_xboole_0(v0) |  ~ m1_subset_1(v0, all_46_0_35) | v4_pre_topc(v0, all_0_11_11))
% 7.90/2.50  |
% 7.90/2.50  | Applying alpha-rule on (228) yields:
% 7.90/2.50  | (229) k1_zfmisc_1(all_0_10_10) = all_46_0_35
% 7.90/2.50  | (230)  ! [v0] : ( ~ v1_xboole_0(v0) |  ~ m1_subset_1(v0, all_46_0_35) | v3_pre_topc(v0, all_0_11_11))
% 7.90/2.50  | (231)  ! [v0] : ( ~ v1_xboole_0(v0) |  ~ m1_subset_1(v0, all_46_0_35) | v4_pre_topc(v0, all_0_11_11))
% 7.90/2.50  |
% 7.90/2.50  | Instantiating (151) with all_49_0_36, all_49_1_37 yields:
% 7.90/2.50  | (232) k3_xboole_0(all_0_8_8, all_0_6_6) = all_49_0_36 & k1_zfmisc_1(all_0_10_10) = all_49_1_37 & (all_49_0_36 = all_0_5_5 |  ~ m1_subset_1(all_0_6_6, all_49_1_37) |  ~ m1_subset_1(all_0_8_8, all_49_1_37))
% 7.90/2.50  |
% 7.90/2.50  | Applying alpha-rule on (232) yields:
% 7.90/2.50  | (233) k3_xboole_0(all_0_8_8, all_0_6_6) = all_49_0_36
% 7.90/2.50  | (234) k1_zfmisc_1(all_0_10_10) = all_49_1_37
% 7.90/2.50  | (235) all_49_0_36 = all_0_5_5 |  ~ m1_subset_1(all_0_6_6, all_49_1_37) |  ~ m1_subset_1(all_0_8_8, all_49_1_37)
% 7.90/2.50  |
% 7.90/2.50  | Instantiating (156) with all_51_0_38 yields:
% 7.90/2.50  | (236) k1_zfmisc_1(all_0_10_10) = all_51_0_38 &  ! [v0] : ( ~ v1_xboole_0(v0) |  ~ m1_subset_1(v0, all_51_0_38) | v2_tops_1(v0, all_0_11_11))
% 7.90/2.50  |
% 7.90/2.50  | Applying alpha-rule on (236) yields:
% 7.90/2.50  | (237) k1_zfmisc_1(all_0_10_10) = all_51_0_38
% 7.90/2.50  | (238)  ! [v0] : ( ~ v1_xboole_0(v0) |  ~ m1_subset_1(v0, all_51_0_38) | v2_tops_1(v0, all_0_11_11))
% 7.90/2.50  |
% 7.90/2.50  | Instantiating (153) with all_54_0_39, all_54_1_40 yields:
% 7.90/2.50  | (239) u1_struct_0(all_0_11_11) = all_54_1_40 & k1_zfmisc_1(all_54_1_40) = all_54_0_39 & ( ~ m1_subset_1(all_0_7_7, all_54_0_39) | m1_subset_1(all_0_6_6, all_54_0_39))
% 7.90/2.50  |
% 7.90/2.50  | Applying alpha-rule on (239) yields:
% 7.90/2.50  | (240) u1_struct_0(all_0_11_11) = all_54_1_40
% 7.90/2.50  | (241) k1_zfmisc_1(all_54_1_40) = all_54_0_39
% 7.90/2.50  | (242)  ~ m1_subset_1(all_0_7_7, all_54_0_39) | m1_subset_1(all_0_6_6, all_54_0_39)
% 7.90/2.50  |
% 7.90/2.50  | Instantiating (150) with all_56_0_41, all_56_1_42 yields:
% 7.90/2.50  | (243) k5_subset_1(all_0_10_10, all_0_6_6, all_0_8_8) = all_56_0_41 & k1_zfmisc_1(all_0_10_10) = all_56_1_42 & (all_56_0_41 = all_0_5_5 |  ~ m1_subset_1(all_0_6_6, all_56_1_42) |  ~ m1_subset_1(all_0_8_8, all_56_1_42))
% 7.90/2.50  |
% 7.90/2.50  | Applying alpha-rule on (243) yields:
% 7.90/2.50  | (244) k5_subset_1(all_0_10_10, all_0_6_6, all_0_8_8) = all_56_0_41
% 7.90/2.50  | (245) k1_zfmisc_1(all_0_10_10) = all_56_1_42
% 8.30/2.50  | (246) all_56_0_41 = all_0_5_5 |  ~ m1_subset_1(all_0_6_6, all_56_1_42) |  ~ m1_subset_1(all_0_8_8, all_56_1_42)
% 8.30/2.50  |
% 8.30/2.50  | Instantiating (162) with all_58_0_43, all_58_1_44 yields:
% 8.30/2.50  | (247) k1_zfmisc_1(all_0_10_10) = all_58_1_44 & v3_pre_topc(all_58_0_43, all_0_11_11) & v4_pre_topc(all_58_0_43, all_0_11_11) & m1_subset_1(all_58_0_43, all_58_1_44)
% 8.30/2.50  |
% 8.30/2.50  | Applying alpha-rule on (247) yields:
% 8.30/2.50  | (248) k1_zfmisc_1(all_0_10_10) = all_58_1_44
% 8.30/2.50  | (249) v3_pre_topc(all_58_0_43, all_0_11_11)
% 8.30/2.50  | (250) v4_pre_topc(all_58_0_43, all_0_11_11)
% 8.30/2.50  | (251) m1_subset_1(all_58_0_43, all_58_1_44)
% 8.30/2.50  |
% 8.30/2.50  | Instantiating (161) with all_60_0_45, all_60_1_46 yields:
% 8.30/2.50  | (252) k1_zfmisc_1(all_0_10_10) = all_60_1_46 & v1_xboole_0(all_60_0_45) & v3_pre_topc(all_60_0_45, all_0_11_11) & v4_pre_topc(all_60_0_45, all_0_11_11) & v2_tops_1(all_60_0_45, all_0_11_11) & v3_tops_1(all_60_0_45, all_0_11_11) & v5_membered(all_60_0_45) & v4_membered(all_60_0_45) & v3_membered(all_60_0_45) & v2_membered(all_60_0_45) & v1_membered(all_60_0_45) & m1_subset_1(all_60_0_45, all_60_1_46)
% 8.30/2.50  |
% 8.30/2.50  | Applying alpha-rule on (252) yields:
% 8.30/2.50  | (253) v3_tops_1(all_60_0_45, all_0_11_11)
% 8.30/2.50  | (254) m1_subset_1(all_60_0_45, all_60_1_46)
% 8.30/2.50  | (255) v1_membered(all_60_0_45)
% 8.30/2.50  | (256) k1_zfmisc_1(all_0_10_10) = all_60_1_46
% 8.30/2.50  | (257) v2_tops_1(all_60_0_45, all_0_11_11)
% 8.30/2.50  | (258) v1_xboole_0(all_60_0_45)
% 8.30/2.50  | (259) v3_pre_topc(all_60_0_45, all_0_11_11)
% 8.30/2.50  | (260) v3_membered(all_60_0_45)
% 8.30/2.50  | (261) v2_membered(all_60_0_45)
% 8.30/2.50  | (262) v4_pre_topc(all_60_0_45, all_0_11_11)
% 8.30/2.50  | (263) v5_membered(all_60_0_45)
% 8.30/2.50  | (264) v4_membered(all_60_0_45)
% 8.30/2.50  |
% 8.30/2.50  | Instantiating formula (4) with all_0_11_11, all_54_1_40, all_0_10_10 and discharging atoms u1_struct_0(all_0_11_11) = all_54_1_40, u1_struct_0(all_0_11_11) = all_0_10_10, yields:
% 8.30/2.50  | (265) all_54_1_40 = all_0_10_10
% 8.30/2.50  |
% 8.30/2.50  | Instantiating formula (4) with all_0_11_11, all_41_1_33, all_54_1_40 and discharging atoms u1_struct_0(all_0_11_11) = all_54_1_40, u1_struct_0(all_0_11_11) = all_41_1_33, yields:
% 8.30/2.50  | (266) all_54_1_40 = all_41_1_33
% 8.30/2.50  |
% 8.30/2.50  | Instantiating formula (43) with all_0_10_10, all_51_0_38, all_56_1_42 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_56_1_42, k1_zfmisc_1(all_0_10_10) = all_51_0_38, yields:
% 8.30/2.50  | (267) all_56_1_42 = all_51_0_38
% 8.30/2.50  |
% 8.30/2.50  | Instantiating formula (43) with all_0_10_10, all_49_1_37, all_58_1_44 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_58_1_44, k1_zfmisc_1(all_0_10_10) = all_49_1_37, yields:
% 8.30/2.50  | (268) all_58_1_44 = all_49_1_37
% 8.30/2.50  |
% 8.30/2.50  | Instantiating formula (43) with all_0_10_10, all_46_0_35, all_49_1_37 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_49_1_37, k1_zfmisc_1(all_0_10_10) = all_46_0_35, yields:
% 8.30/2.50  | (269) all_49_1_37 = all_46_0_35
% 8.30/2.50  |
% 8.30/2.50  | Instantiating formula (43) with all_0_10_10, all_43_0_34, all_46_0_35 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_46_0_35, k1_zfmisc_1(all_0_10_10) = all_43_0_34, yields:
% 8.30/2.50  | (270) all_46_0_35 = all_43_0_34
% 8.30/2.50  |
% 8.30/2.50  | Instantiating formula (43) with all_0_10_10, all_39_0_31, all_0_9_9 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_39_0_31, k1_zfmisc_1(all_0_10_10) = all_0_9_9, yields:
% 8.30/2.50  | (271) all_39_0_31 = all_0_9_9
% 8.30/2.50  |
% 8.30/2.50  | Instantiating formula (43) with all_0_10_10, all_35_1_29, all_60_1_46 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_60_1_46, k1_zfmisc_1(all_0_10_10) = all_35_1_29, yields:
% 8.30/2.50  | (272) all_60_1_46 = all_35_1_29
% 8.30/2.50  |
% 8.30/2.50  | Instantiating formula (43) with all_0_10_10, all_35_1_29, all_43_0_34 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_43_0_34, k1_zfmisc_1(all_0_10_10) = all_35_1_29, yields:
% 8.30/2.51  | (273) all_43_0_34 = all_35_1_29
% 8.30/2.51  |
% 8.30/2.51  | Instantiating formula (43) with all_0_10_10, all_32_0_27, all_58_1_44 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_58_1_44, k1_zfmisc_1(all_0_10_10) = all_32_0_27, yields:
% 8.30/2.51  | (274) all_58_1_44 = all_32_0_27
% 8.30/2.51  |
% 8.30/2.51  | Instantiating formula (43) with all_0_10_10, all_29_0_26, all_51_0_38 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_51_0_38, k1_zfmisc_1(all_0_10_10) = all_29_0_26, yields:
% 8.30/2.51  | (275) all_51_0_38 = all_29_0_26
% 8.30/2.51  |
% 8.30/2.51  | Instantiating formula (43) with all_0_10_10, all_27_1_25, all_39_0_31 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_39_0_31, k1_zfmisc_1(all_0_10_10) = all_27_1_25, yields:
% 8.30/2.51  | (276) all_39_0_31 = all_27_1_25
% 8.30/2.51  |
% 8.30/2.51  | Instantiating formula (43) with all_0_10_10, all_27_1_25, all_35_1_29 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_35_1_29, k1_zfmisc_1(all_0_10_10) = all_27_1_25, yields:
% 8.30/2.51  | (277) all_35_1_29 = all_27_1_25
% 8.30/2.51  |
% 8.30/2.51  | Instantiating formula (43) with all_0_10_10, all_25_1_23, all_39_0_31 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_39_0_31, k1_zfmisc_1(all_0_10_10) = all_25_1_23, yields:
% 8.30/2.51  | (278) all_39_0_31 = all_25_1_23
% 8.30/2.51  |
% 8.30/2.51  | Instantiating formula (43) with all_0_10_10, all_22_0_21, all_60_1_46 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_60_1_46, k1_zfmisc_1(all_0_10_10) = all_22_0_21, yields:
% 8.30/2.51  | (279) all_60_1_46 = all_22_0_21
% 8.30/2.51  |
% 8.30/2.51  | Instantiating formula (43) with all_0_10_10, all_20_1_20, all_29_0_26 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_29_0_26, k1_zfmisc_1(all_0_10_10) = all_20_1_20, yields:
% 8.30/2.51  | (280) all_29_0_26 = all_20_1_20
% 8.30/2.51  |
% 8.30/2.51  | Instantiating formula (43) with all_0_10_10, all_20_1_20, all_27_1_25 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_27_1_25, k1_zfmisc_1(all_0_10_10) = all_20_1_20, yields:
% 8.30/2.51  | (281) all_27_1_25 = all_20_1_20
% 8.30/2.51  |
% 8.30/2.51  | Instantiating formula (43) with all_0_10_10, all_18_1_18, all_56_1_42 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_56_1_42, k1_zfmisc_1(all_0_10_10) = all_18_1_18, yields:
% 8.30/2.51  | (282) all_56_1_42 = all_18_1_18
% 8.30/2.51  |
% 8.30/2.51  | Instantiating formula (43) with all_0_10_10, all_15_0_16, all_20_1_20 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_20_1_20, k1_zfmisc_1(all_0_10_10) = all_15_0_16, yields:
% 8.30/2.51  | (283) all_20_1_20 = all_15_0_16
% 8.30/2.51  |
% 8.30/2.51  | Combining equations (272,279) yields a new equation:
% 8.30/2.51  | (284) all_35_1_29 = all_22_0_21
% 8.30/2.51  |
% 8.30/2.51  | Simplifying 284 yields:
% 8.30/2.51  | (285) all_35_1_29 = all_22_0_21
% 8.30/2.51  |
% 8.30/2.51  | Combining equations (268,274) yields a new equation:
% 8.30/2.51  | (286) all_49_1_37 = all_32_0_27
% 8.30/2.51  |
% 8.30/2.51  | Simplifying 286 yields:
% 8.30/2.51  | (287) all_49_1_37 = all_32_0_27
% 8.30/2.51  |
% 8.30/2.51  | Combining equations (267,282) yields a new equation:
% 8.30/2.51  | (288) all_51_0_38 = all_18_1_18
% 8.30/2.51  |
% 8.30/2.51  | Simplifying 288 yields:
% 8.30/2.51  | (289) all_51_0_38 = all_18_1_18
% 8.30/2.51  |
% 8.30/2.51  | Combining equations (265,266) yields a new equation:
% 8.30/2.51  | (290) all_41_1_33 = all_0_10_10
% 8.30/2.51  |
% 8.30/2.51  | Combining equations (275,289) yields a new equation:
% 8.30/2.51  | (291) all_29_0_26 = all_18_1_18
% 8.30/2.51  |
% 8.30/2.51  | Simplifying 291 yields:
% 8.30/2.51  | (292) all_29_0_26 = all_18_1_18
% 8.30/2.51  |
% 8.30/2.51  | Combining equations (269,287) yields a new equation:
% 8.30/2.51  | (293) all_46_0_35 = all_32_0_27
% 8.30/2.51  |
% 8.30/2.51  | Simplifying 293 yields:
% 8.30/2.51  | (294) all_46_0_35 = all_32_0_27
% 8.30/2.51  |
% 8.30/2.51  | Combining equations (270,294) yields a new equation:
% 8.30/2.51  | (295) all_43_0_34 = all_32_0_27
% 8.30/2.51  |
% 8.30/2.51  | Simplifying 295 yields:
% 8.30/2.51  | (296) all_43_0_34 = all_32_0_27
% 8.30/2.51  |
% 8.30/2.51  | Combining equations (273,296) yields a new equation:
% 8.30/2.51  | (297) all_35_1_29 = all_32_0_27
% 8.30/2.51  |
% 8.30/2.51  | Simplifying 297 yields:
% 8.30/2.51  | (298) all_35_1_29 = all_32_0_27
% 8.30/2.51  |
% 8.30/2.51  | Combining equations (276,278) yields a new equation:
% 8.30/2.51  | (299) all_27_1_25 = all_25_1_23
% 8.30/2.51  |
% 8.30/2.51  | Simplifying 299 yields:
% 8.30/2.51  | (300) all_27_1_25 = all_25_1_23
% 8.30/2.51  |
% 8.30/2.51  | Combining equations (271,278) yields a new equation:
% 8.30/2.51  | (301) all_25_1_23 = all_0_9_9
% 8.30/2.51  |
% 8.30/2.51  | Combining equations (277,298) yields a new equation:
% 8.30/2.51  | (302) all_32_0_27 = all_27_1_25
% 8.30/2.51  |
% 8.30/2.51  | Combining equations (285,298) yields a new equation:
% 8.30/2.51  | (303) all_32_0_27 = all_22_0_21
% 8.30/2.51  |
% 8.30/2.51  | Combining equations (302,303) yields a new equation:
% 8.30/2.51  | (304) all_27_1_25 = all_22_0_21
% 8.30/2.51  |
% 8.30/2.51  | Simplifying 304 yields:
% 8.30/2.51  | (305) all_27_1_25 = all_22_0_21
% 8.30/2.51  |
% 8.30/2.51  | Combining equations (280,292) yields a new equation:
% 8.30/2.51  | (306) all_20_1_20 = all_18_1_18
% 8.30/2.51  |
% 8.30/2.51  | Simplifying 306 yields:
% 8.30/2.51  | (307) all_20_1_20 = all_18_1_18
% 8.30/2.51  |
% 8.30/2.51  | Combining equations (281,305) yields a new equation:
% 8.30/2.51  | (308) all_22_0_21 = all_20_1_20
% 8.30/2.51  |
% 8.30/2.51  | Combining equations (300,305) yields a new equation:
% 8.30/2.51  | (309) all_25_1_23 = all_22_0_21
% 8.30/2.51  |
% 8.30/2.51  | Simplifying 309 yields:
% 8.30/2.51  | (310) all_25_1_23 = all_22_0_21
% 8.30/2.51  |
% 8.30/2.51  | Combining equations (310,301) yields a new equation:
% 8.30/2.51  | (311) all_22_0_21 = all_0_9_9
% 8.30/2.51  |
% 8.30/2.51  | Simplifying 311 yields:
% 8.30/2.51  | (312) all_22_0_21 = all_0_9_9
% 8.30/2.51  |
% 8.30/2.51  | Combining equations (308,312) yields a new equation:
% 8.30/2.51  | (313) all_20_1_20 = all_0_9_9
% 8.30/2.51  |
% 8.30/2.51  | Simplifying 313 yields:
% 8.30/2.51  | (314) all_20_1_20 = all_0_9_9
% 8.30/2.51  |
% 8.30/2.51  | Combining equations (283,307) yields a new equation:
% 8.30/2.51  | (315) all_18_1_18 = all_15_0_16
% 8.30/2.51  |
% 8.30/2.51  | Combining equations (314,307) yields a new equation:
% 8.30/2.51  | (316) all_18_1_18 = all_0_9_9
% 8.30/2.51  |
% 8.30/2.51  | Combining equations (315,316) yields a new equation:
% 8.30/2.51  | (317) all_15_0_16 = all_0_9_9
% 8.30/2.51  |
% 8.30/2.51  | Simplifying 317 yields:
% 8.30/2.51  | (318) all_15_0_16 = all_0_9_9
% 8.30/2.51  |
% 8.30/2.51  | Combining equations (312,303) yields a new equation:
% 8.30/2.51  | (319) all_32_0_27 = all_0_9_9
% 8.30/2.51  |
% 8.30/2.51  | Combining equations (301,278) yields a new equation:
% 8.30/2.51  | (271) all_39_0_31 = all_0_9_9
% 8.30/2.51  |
% 8.30/2.51  | Combining equations (319,287) yields a new equation:
% 8.30/2.51  | (321) all_49_1_37 = all_0_9_9
% 8.30/2.51  |
% 8.30/2.51  | Combining equations (290,266) yields a new equation:
% 8.30/2.51  | (265) all_54_1_40 = all_0_10_10
% 8.30/2.51  |
% 8.30/2.51  | Combining equations (316,282) yields a new equation:
% 8.30/2.51  | (323) all_56_1_42 = all_0_9_9
% 8.30/2.51  |
% 8.30/2.51  | From (290) and (222) follows:
% 8.30/2.51  | (109) u1_struct_0(all_0_11_11) = all_0_10_10
% 8.30/2.51  |
% 8.30/2.51  | From (265) and (241) follows:
% 8.30/2.51  | (325) k1_zfmisc_1(all_0_10_10) = all_54_0_39
% 8.30/2.51  |
% 8.30/2.51  | From (290) and (223) follows:
% 8.30/2.51  | (326) k1_zfmisc_1(all_0_10_10) = all_41_0_32
% 8.30/2.51  |
% 8.30/2.51  | From (318) and (171) follows:
% 8.30/2.51  | (84) k1_zfmisc_1(all_0_10_10) = all_0_9_9
% 8.30/2.51  |
% 8.30/2.51  | Instantiating formula (43) with all_0_10_10, all_54_0_39, all_0_9_9 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_54_0_39, k1_zfmisc_1(all_0_10_10) = all_0_9_9, yields:
% 8.30/2.51  | (328) all_54_0_39 = all_0_9_9
% 8.30/2.51  |
% 8.30/2.51  | Instantiating formula (43) with all_0_10_10, all_41_0_32, all_54_0_39 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_54_0_39, k1_zfmisc_1(all_0_10_10) = all_41_0_32, yields:
% 8.30/2.51  | (329) all_54_0_39 = all_41_0_32
% 8.30/2.51  |
% 8.30/2.51  | Combining equations (328,329) yields a new equation:
% 8.30/2.51  | (330) all_41_0_32 = all_0_9_9
% 8.30/2.51  |
% 8.30/2.51  | Combining equations (330,329) yields a new equation:
% 8.30/2.51  | (328) all_54_0_39 = all_0_9_9
% 8.30/2.51  |
% 8.30/2.51  | From (330) and (326) follows:
% 8.30/2.51  | (84) k1_zfmisc_1(all_0_10_10) = all_0_9_9
% 8.30/2.51  |
% 8.30/2.51  +-Applying beta-rule and splitting (157), into two cases.
% 8.30/2.51  |-Branch one:
% 8.30/2.51  | (333) v4_pre_topc(all_0_6_6, all_0_11_11)
% 8.30/2.51  |
% 8.30/2.51  	+-Applying beta-rule and splitting (242), into two cases.
% 8.30/2.51  	|-Branch one:
% 8.30/2.51  	| (334)  ~ m1_subset_1(all_0_7_7, all_54_0_39)
% 8.30/2.51  	|
% 8.30/2.51  		| From (328) and (334) follows:
% 8.30/2.51  		| (335)  ~ m1_subset_1(all_0_7_7, all_0_9_9)
% 8.30/2.51  		|
% 8.30/2.51  		| Using (13) and (335) yields:
% 8.30/2.51  		| (336) $false
% 8.30/2.51  		|
% 8.30/2.51  		|-The branch is then unsatisfiable
% 8.30/2.51  	|-Branch two:
% 8.30/2.51  	| (337) m1_subset_1(all_0_7_7, all_54_0_39)
% 8.30/2.51  	| (338) m1_subset_1(all_0_6_6, all_54_0_39)
% 8.30/2.51  	|
% 8.30/2.51  		| From (328) and (338) follows:
% 8.30/2.51  		| (339) m1_subset_1(all_0_6_6, all_0_9_9)
% 8.30/2.51  		|
% 8.30/2.51  		+-Applying beta-rule and splitting (220), into two cases.
% 8.30/2.51  		|-Branch one:
% 8.30/2.51  		| (340)  ~ m1_subset_1(all_0_6_6, all_39_0_31)
% 8.30/2.51  		|
% 8.30/2.51  			| From (271) and (340) follows:
% 8.30/2.51  			| (341)  ~ m1_subset_1(all_0_6_6, all_0_9_9)
% 8.30/2.51  			|
% 8.30/2.51  			| Using (339) and (341) yields:
% 8.30/2.51  			| (336) $false
% 8.30/2.51  			|
% 8.30/2.51  			|-The branch is then unsatisfiable
% 8.30/2.51  		|-Branch two:
% 8.30/2.51  		| (343) m1_subset_1(all_0_6_6, all_39_0_31)
% 8.30/2.52  		| (344)  ~ m1_subset_1(all_0_8_8, all_39_0_31) | m1_subset_1(all_0_5_5, all_39_0_31)
% 8.30/2.52  		|
% 8.30/2.52  			| From (271) and (343) follows:
% 8.30/2.52  			| (339) m1_subset_1(all_0_6_6, all_0_9_9)
% 8.30/2.52  			|
% 8.30/2.52  			+-Applying beta-rule and splitting (235), into two cases.
% 8.30/2.52  			|-Branch one:
% 8.30/2.52  			| (346)  ~ m1_subset_1(all_0_6_6, all_49_1_37)
% 8.30/2.52  			|
% 8.30/2.52  				| From (321) and (346) follows:
% 8.30/2.52  				| (341)  ~ m1_subset_1(all_0_6_6, all_0_9_9)
% 8.30/2.52  				|
% 8.30/2.52  				| Using (339) and (341) yields:
% 8.30/2.52  				| (336) $false
% 8.30/2.52  				|
% 8.30/2.52  				|-The branch is then unsatisfiable
% 8.30/2.52  			|-Branch two:
% 8.30/2.52  			| (349) m1_subset_1(all_0_6_6, all_49_1_37)
% 8.30/2.52  			| (350) all_49_0_36 = all_0_5_5 |  ~ m1_subset_1(all_0_8_8, all_49_1_37)
% 8.30/2.52  			|
% 8.30/2.52  				| From (321) and (349) follows:
% 8.30/2.52  				| (339) m1_subset_1(all_0_6_6, all_0_9_9)
% 8.30/2.52  				|
% 8.30/2.52  				+-Applying beta-rule and splitting (246), into two cases.
% 8.30/2.52  				|-Branch one:
% 8.30/2.52  				| (352)  ~ m1_subset_1(all_0_6_6, all_56_1_42)
% 8.30/2.52  				|
% 8.30/2.52  					| From (323) and (352) follows:
% 8.30/2.52  					| (341)  ~ m1_subset_1(all_0_6_6, all_0_9_9)
% 8.30/2.52  					|
% 8.30/2.52  					| Using (339) and (341) yields:
% 8.30/2.52  					| (336) $false
% 8.30/2.52  					|
% 8.30/2.52  					|-The branch is then unsatisfiable
% 8.30/2.52  				|-Branch two:
% 8.30/2.52  				| (355) m1_subset_1(all_0_6_6, all_56_1_42)
% 8.30/2.52  				| (356) all_56_0_41 = all_0_5_5 |  ~ m1_subset_1(all_0_8_8, all_56_1_42)
% 8.30/2.52  				|
% 8.30/2.52  					| From (323) and (355) follows:
% 8.30/2.52  					| (339) m1_subset_1(all_0_6_6, all_0_9_9)
% 8.30/2.52  					|
% 8.30/2.52  					+-Applying beta-rule and splitting (356), into two cases.
% 8.30/2.52  					|-Branch one:
% 8.30/2.52  					| (358)  ~ m1_subset_1(all_0_8_8, all_56_1_42)
% 8.30/2.52  					|
% 8.30/2.52  						| From (323) and (358) follows:
% 8.30/2.52  						| (359)  ~ m1_subset_1(all_0_8_8, all_0_9_9)
% 8.30/2.52  						|
% 8.30/2.52  						| Using (34) and (359) yields:
% 8.30/2.52  						| (336) $false
% 8.30/2.52  						|
% 8.30/2.52  						|-The branch is then unsatisfiable
% 8.30/2.52  					|-Branch two:
% 8.30/2.52  					| (361) m1_subset_1(all_0_8_8, all_56_1_42)
% 8.30/2.52  					| (362) all_56_0_41 = all_0_5_5
% 8.30/2.52  					|
% 8.30/2.52  						| From (323) and (361) follows:
% 8.30/2.52  						| (34) m1_subset_1(all_0_8_8, all_0_9_9)
% 8.30/2.52  						|
% 8.30/2.52  						+-Applying beta-rule and splitting (350), into two cases.
% 8.30/2.52  						|-Branch one:
% 8.30/2.52  						| (364)  ~ m1_subset_1(all_0_8_8, all_49_1_37)
% 8.30/2.52  						|
% 8.30/2.52  							| From (321) and (364) follows:
% 8.30/2.52  							| (359)  ~ m1_subset_1(all_0_8_8, all_0_9_9)
% 8.30/2.52  							|
% 8.30/2.52  							| Using (34) and (359) yields:
% 8.30/2.52  							| (336) $false
% 8.30/2.52  							|
% 8.30/2.52  							|-The branch is then unsatisfiable
% 8.30/2.52  						|-Branch two:
% 8.30/2.52  						| (367) m1_subset_1(all_0_8_8, all_49_1_37)
% 8.30/2.52  						| (368) all_49_0_36 = all_0_5_5
% 8.30/2.52  						|
% 8.30/2.52  							| From (321) and (367) follows:
% 8.30/2.52  							| (34) m1_subset_1(all_0_8_8, all_0_9_9)
% 8.30/2.52  							|
% 8.30/2.52  							+-Applying beta-rule and splitting (344), into two cases.
% 8.30/2.52  							|-Branch one:
% 8.30/2.52  							| (370)  ~ m1_subset_1(all_0_8_8, all_39_0_31)
% 8.30/2.52  							|
% 8.30/2.52  								| From (271) and (370) follows:
% 8.30/2.52  								| (359)  ~ m1_subset_1(all_0_8_8, all_0_9_9)
% 8.30/2.52  								|
% 8.30/2.52  								| Using (34) and (359) yields:
% 8.30/2.52  								| (336) $false
% 8.30/2.52  								|
% 8.30/2.52  								|-The branch is then unsatisfiable
% 8.30/2.52  							|-Branch two:
% 8.30/2.52  							| (373) m1_subset_1(all_0_8_8, all_39_0_31)
% 8.30/2.52  							| (374) m1_subset_1(all_0_5_5, all_39_0_31)
% 8.30/2.52  							|
% 8.30/2.52  								| From (271) and (373) follows:
% 8.30/2.52  								| (34) m1_subset_1(all_0_8_8, all_0_9_9)
% 8.30/2.52  								|
% 8.30/2.52  								| Instantiating formula (183) with all_0_4_4, all_0_5_5, all_0_6_6, all_0_8_8 and discharging atoms k3_tex_4(all_0_11_11, all_0_5_5) = all_0_4_4, k5_subset_1(all_0_10_10, all_0_8_8, all_0_6_6) = all_0_5_5, v4_pre_topc(all_0_6_6, all_0_11_11), v1_tsp_2(all_0_8_8, all_0_11_11), yields:
% 8.30/2.52  								| (376) all_0_4_4 = all_0_6_6 |  ~ m1_subset_1(all_0_6_6, all_22_0_21) |  ~ m1_subset_1(all_0_8_8, all_22_0_21)
% 8.30/2.52  								|
% 8.30/2.52  								+-Applying beta-rule and splitting (376), into two cases.
% 8.30/2.52  								|-Branch one:
% 8.30/2.52  								| (377)  ~ m1_subset_1(all_0_6_6, all_22_0_21)
% 8.30/2.52  								|
% 8.30/2.52  									| From (312) and (377) follows:
% 8.30/2.52  									| (341)  ~ m1_subset_1(all_0_6_6, all_0_9_9)
% 8.30/2.52  									|
% 8.30/2.52  									| Using (339) and (341) yields:
% 8.30/2.52  									| (336) $false
% 8.30/2.52  									|
% 8.30/2.52  									|-The branch is then unsatisfiable
% 8.30/2.52  								|-Branch two:
% 8.30/2.52  								| (380) m1_subset_1(all_0_6_6, all_22_0_21)
% 8.30/2.52  								| (381) all_0_4_4 = all_0_6_6 |  ~ m1_subset_1(all_0_8_8, all_22_0_21)
% 8.30/2.52  								|
% 8.30/2.52  									+-Applying beta-rule and splitting (381), into two cases.
% 8.30/2.52  									|-Branch one:
% 8.30/2.52  									| (382)  ~ m1_subset_1(all_0_8_8, all_22_0_21)
% 8.30/2.52  									|
% 8.30/2.52  										| From (312) and (382) follows:
% 8.30/2.52  										| (359)  ~ m1_subset_1(all_0_8_8, all_0_9_9)
% 8.30/2.52  										|
% 8.30/2.52  										| Using (34) and (359) yields:
% 8.30/2.52  										| (336) $false
% 8.30/2.52  										|
% 8.30/2.52  										|-The branch is then unsatisfiable
% 8.30/2.52  									|-Branch two:
% 8.30/2.52  									| (385) m1_subset_1(all_0_8_8, all_22_0_21)
% 8.30/2.52  									| (386) all_0_4_4 = all_0_6_6
% 8.30/2.52  									|
% 8.30/2.52  										| Equations (386) can reduce 45 to:
% 8.30/2.52  										| (387) $false
% 8.30/2.52  										|
% 8.30/2.52  										|-The branch is then unsatisfiable
% 8.30/2.52  |-Branch two:
% 8.30/2.52  | (388)  ~ v4_pre_topc(all_0_6_6, all_0_11_11)
% 8.30/2.52  | (389)  ? [v0] :  ? [v1] : (u1_struct_0(all_0_11_11) = v0 & k1_zfmisc_1(v0) = v1 &  ~ m1_subset_1(all_0_7_7, v1))
% 8.30/2.52  |
% 8.30/2.52  	| Instantiating (389) with all_74_0_51, all_74_1_52 yields:
% 8.30/2.52  	| (390) u1_struct_0(all_0_11_11) = all_74_1_52 & k1_zfmisc_1(all_74_1_52) = all_74_0_51 &  ~ m1_subset_1(all_0_7_7, all_74_0_51)
% 8.30/2.52  	|
% 8.30/2.52  	| Applying alpha-rule on (390) yields:
% 8.30/2.52  	| (391) u1_struct_0(all_0_11_11) = all_74_1_52
% 8.30/2.52  	| (392) k1_zfmisc_1(all_74_1_52) = all_74_0_51
% 8.30/2.52  	| (393)  ~ m1_subset_1(all_0_7_7, all_74_0_51)
% 8.30/2.52  	|
% 8.30/2.52  	+-Applying beta-rule and splitting (242), into two cases.
% 8.30/2.52  	|-Branch one:
% 8.30/2.52  	| (334)  ~ m1_subset_1(all_0_7_7, all_54_0_39)
% 8.30/2.52  	|
% 8.30/2.52  		| From (328) and (334) follows:
% 8.30/2.52  		| (335)  ~ m1_subset_1(all_0_7_7, all_0_9_9)
% 8.30/2.52  		|
% 8.30/2.52  		| Using (13) and (335) yields:
% 8.30/2.52  		| (336) $false
% 8.30/2.52  		|
% 8.30/2.52  		|-The branch is then unsatisfiable
% 8.30/2.52  	|-Branch two:
% 8.30/2.52  	| (337) m1_subset_1(all_0_7_7, all_54_0_39)
% 8.30/2.52  	| (338) m1_subset_1(all_0_6_6, all_54_0_39)
% 8.30/2.52  	|
% 8.30/2.52  		| From (328) and (337) follows:
% 8.30/2.52  		| (13) m1_subset_1(all_0_7_7, all_0_9_9)
% 8.30/2.52  		|
% 8.30/2.52  		| Instantiating formula (4) with all_0_11_11, all_74_1_52, all_0_10_10 and discharging atoms u1_struct_0(all_0_11_11) = all_74_1_52, u1_struct_0(all_0_11_11) = all_0_10_10, yields:
% 8.30/2.52  		| (400) all_74_1_52 = all_0_10_10
% 8.30/2.52  		|
% 8.30/2.52  		| From (400) and (392) follows:
% 8.30/2.52  		| (401) k1_zfmisc_1(all_0_10_10) = all_74_0_51
% 8.30/2.52  		|
% 8.30/2.52  		| Instantiating formula (43) with all_0_10_10, all_74_0_51, all_0_9_9 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_74_0_51, k1_zfmisc_1(all_0_10_10) = all_0_9_9, yields:
% 8.30/2.52  		| (402) all_74_0_51 = all_0_9_9
% 8.30/2.52  		|
% 8.30/2.52  		| From (402) and (393) follows:
% 8.30/2.52  		| (335)  ~ m1_subset_1(all_0_7_7, all_0_9_9)
% 8.30/2.52  		|
% 8.30/2.52  		| Using (13) and (335) yields:
% 8.30/2.52  		| (336) $false
% 8.30/2.52  		|
% 8.30/2.52  		|-The branch is then unsatisfiable
% 8.30/2.52  % SZS output end Proof for theBenchmark
% 8.30/2.52  
% 8.30/2.52  1947ms
%------------------------------------------------------------------------------