%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : ALG216+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n021.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 14 15:37:34 EDT 2022

% Result   : Theorem 4.69s 1.70s
% Output   : Proof 9.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : ALG216+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12  % Command  : ePrincess-casc -timeout=%d %s
% 0.11/0.32  % Computer : n021.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Thu Jun  9 06:14:53 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.18/0.58          ____       _                          
% 0.18/0.58    ___  / __ \_____(_)___  ________  __________
% 0.18/0.58   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.18/0.58  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.18/0.58  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.18/0.58  
% 0.18/0.58  A Theorem Prover for First-Order Logic
% 0.18/0.59  (ePrincess v.1.0)
% 0.18/0.59  
% 0.18/0.59  (c) Philipp Rümmer, 2009-2015
% 0.18/0.59  (c) Peter Backeman, 2014-2015
% 0.18/0.59  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.18/0.59  Free software under GNU Lesser General Public License (LGPL).
% 0.18/0.59  Bug reports to peter@backeman.se
% 0.18/0.59  
% 0.18/0.59  For more information, visit http://user.uu.se/~petba168/breu/
% 0.18/0.59  
% 0.18/0.59  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.68/0.67  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.68/0.99  Prover 0: Preprocessing ...
% 2.66/1.28  Prover 0: Warning: ignoring some quantifiers
% 2.66/1.31  Prover 0: Constructing countermodel ...
% 4.69/1.70  Prover 0: proved (1031ms)
% 4.69/1.70  
% 4.69/1.70  No countermodel exists, formula is valid
% 4.69/1.70  % SZS status Theorem for theBenchmark
% 4.69/1.70  
% 4.69/1.70  Generating proof ... Warning: ignoring some quantifiers
% 8.74/2.67  found it (size 78)
% 8.74/2.67  
% 8.74/2.67  % SZS output start Proof for theBenchmark
% 8.74/2.67  Assumed formulas after preprocessing and simplification: 
% 8.74/2.67  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] :  ? [v19] : ( ~ (v2 = v1) & k2_group_1(v0) = v2 & k1_rlvect_1(v3) = v5 & k1_rlvect_1(v0) = v1 & k8_rlvect_2(v3, v6, v5) = v7 & k8_rlvect_2(v3, v5, v6) = v8 & u1_struct_0(v3) = v4 & l2_vectsp_1(v12) & l2_struct_0(v13) & l2_struct_0(v10) & l1_rlvect_1(v15) & l1_struct_0(v14) & l1_struct_0(v11) & l1_group_1(v16) & l1_vectsp_1(v19) & v1_xboole_0(v18) & v1_xboole_0(k1_xboole_0) & m1_subset_1(v6, v4) & l1_vectsp_2(v3, v0) & v5_vectsp_2(v3, v0) & l3_vectsp_1(v9) & l3_vectsp_1(v0) & v8_vectsp_1(v0) & v7_vectsp_1(v0) & v6_vectsp_1(v0) & v4_group_1(v0) & v6_rlvect_1(v3) & v6_rlvect_1(v0) & v5_rlvect_1(v3) & v5_rlvect_1(v0) & v4_rlvect_1(v3) & v4_rlvect_1(v0) & v3_rlvect_1(v3) & v3_rlvect_1(v0) &  ~ v1_xboole_0(v17) &  ~ v3_struct_0(v11) &  ~ v3_struct_0(v10) &  ~ v3_struct_0(v3) &  ~ v3_struct_0(v0) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : (v21 = v20 |  ~ (k8_rlvect_2(v24, v23, v22) = v21) |  ~ (k8_rlvect_2(v24, v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] : ( ~ (k2_tarski(v21, v22) = v24) |  ~ (u1_struct_0(v20) = v23) |  ~ l1_struct_0(v20) |  ~ m1_subset_1(v22, v23) |  ~ m1_subset_1(v21, v23) | k8_rlvect_2(v20, v21, v22) = v24 | v3_struct_0(v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v21 = v20 |  ~ (k2_tarski(v23, v22) = v21) |  ~ (k2_tarski(v23, v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (k8_rlvect_2(v20, v22, v21) = v23) |  ~ l1_struct_0(v20) | v3_struct_0(v20) |  ? [v24] :  ? [v25] : (k8_rlvect_2(v20, v21, v22) = v25 & u1_struct_0(v20) = v24 & (v25 = v23 |  ~ m1_subset_1(v22, v24) |  ~ m1_subset_1(v21, v24)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (k8_rlvect_2(v20, v21, v22) = v23) |  ~ l1_struct_0(v20) | v3_struct_0(v20) |  ? [v24] :  ? [v25] : (k8_rlvect_2(v20, v22, v21) = v25 & u1_struct_0(v20) = v24 & (v25 = v23 |  ~ m1_subset_1(v22, v24) |  ~ m1_subset_1(v21, v24)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (k8_rlvect_2(v20, v21, v22) = v23) |  ~ l1_struct_0(v20) | v3_struct_0(v20) |  ? [v24] :  ? [v25] : (k2_tarski(v21, v22) = v25 & u1_struct_0(v20) = v24 & (v25 = v23 |  ~ m1_subset_1(v22, v24) |  ~ m1_subset_1(v21, v24)))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (k8_rlvect_2(v20, v21, v22) = v23) |  ~ l1_struct_0(v20) | v3_struct_0(v20) |  ? [v24] :  ? [v25] : (u1_struct_0(v20) = v24 & k1_zfmisc_1(v24) = v25 & ( ~ m1_subset_1(v22, v24) |  ~ m1_subset_1(v21, v24) | (v1_finset_1(v23) & m1_subset_1(v23, v25))))) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (k1_zfmisc_1(v22) = v23) |  ~ v1_xboole_0(v22) |  ~ r2_hidden(v20, v21) |  ~ m1_subset_1(v21, v23)) &  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (k1_zfmisc_1(v22) = v23) |  ~ r2_hidden(v20, v21) |  ~ m1_subset_1(v21, v23) | m1_subset_1(v20, v22)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (k2_group_1(v22) = v21) |  ~ (k2_group_1(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (k1_rlvect_1(v22) = v21) |  ~ (k1_rlvect_1(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (u1_struct_0(v22) = v21) |  ~ (u1_struct_0(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : (v21 = v20 |  ~ (k1_zfmisc_1(v22) = v21) |  ~ (k1_zfmisc_1(v22) = v20)) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (k2_tarski(v21, v20) = v22) | k2_tarski(v20, v21) = v22) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (k2_tarski(v20, v21) = v22) |  ~ v1_xboole_0(v22)) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (k2_tarski(v20, v21) = v22) | k2_tarski(v21, v20) = v22) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (k1_zfmisc_1(v21) = v22) |  ~ r1_tarski(v20, v21) | m1_subset_1(v20, v22)) &  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (k1_zfmisc_1(v21) = v22) |  ~ m1_subset_1(v20, v22) | r1_tarski(v20, v21)) &  ! [v20] :  ! [v21] : (v21 = v20 |  ~ v1_xboole_0(v21) |  ~ v1_xboole_0(v20)) &  ! [v20] :  ! [v21] : ( ~ (k2_group_1(v20) = v21) |  ~ l1_group_1(v20) | v3_struct_0(v20) |  ? [v22] : (u1_struct_0(v20) = v22 & m1_subset_1(v21, v22))) &  ! [v20] :  ! [v21] : ( ~ (k2_group_1(v20) = v21) |  ~ l3_vectsp_1(v20) |  ~ v8_vectsp_1(v20) |  ~ v7_vectsp_1(v20) |  ~ v6_vectsp_1(v20) |  ~ v4_group_1(v20) |  ~ v6_rlvect_1(v20) |  ~ v5_rlvect_1(v20) |  ~ v4_rlvect_1(v20) |  ~ v3_rlvect_1(v20) | v3_struct_0(v20) |  ? [v22] : (k1_rlvect_1(v20) = v22 &  ! [v23] :  ! [v24] : ( ~ (k1_rlvect_1(v23) = v24) |  ~ l1_vectsp_2(v23, v20) |  ~ v5_vectsp_2(v23, v20) |  ~ v6_rlvect_1(v23) |  ~ v5_rlvect_1(v23) |  ~ v4_rlvect_1(v23) |  ~ v3_rlvect_1(v23) | v3_struct_0(v23) |  ? [v25] : (u1_struct_0(v23) = v25 &  ! [v26] :  ! [v27] : (v22 = v21 |  ~ (k8_rlvect_2(v23, v26, v24) = v27) |  ~ v1_rmod_5(v27, v20, v23) |  ~ m1_subset_1(v26, v25) |  ~ m1_subset_1(v24, v25)) &  ! [v26] :  ! [v27] : (v22 = v21 |  ~ (k8_rlvect_2(v23, v24, v26) = v27) |  ~ v1_rmod_5(v27, v20, v23) |  ~ m1_subset_1(v26, v25) |  ~ m1_subset_1(v24, v25)))) &  ! [v23] :  ! [v24] : ( ~ (u1_struct_0(v23) = v24) |  ~ l1_vectsp_2(v23, v20) |  ~ v5_vectsp_2(v23, v20) |  ~ v6_rlvect_1(v23) |  ~ v5_rlvect_1(v23) |  ~ v4_rlvect_1(v23) |  ~ v3_rlvect_1(v23) | v3_struct_0(v23) |  ? [v25] : (k1_rlvect_1(v23) = v25 &  ! [v26] :  ! [v27] : (v22 = v21 |  ~ (k8_rlvect_2(v23, v26, v25) = v27) |  ~ v1_rmod_5(v27, v20, v23) |  ~ m1_subset_1(v26, v24) |  ~ m1_subset_1(v25, v24)) &  ! [v26] :  ! [v27] : (v22 = v21 |  ~ (k8_rlvect_2(v23, v25, v26) = v27) |  ~ v1_rmod_5(v27, v20, v23) |  ~ m1_subset_1(v26, v24) |  ~ m1_subset_1(v25, v24)))))) &  ! [v20] :  ! [v21] : ( ~ (k1_rlvect_1(v20) = v21) |  ~ l2_struct_0(v20) |  ? [v22] : (u1_struct_0(v20) = v22 & m1_subset_1(v21, v22))) &  ! [v20] :  ! [v21] : ( ~ (k1_rlvect_1(v20) = v21) |  ~ l3_vectsp_1(v20) |  ~ v8_vectsp_1(v20) |  ~ v7_vectsp_1(v20) |  ~ v6_vectsp_1(v20) |  ~ v4_group_1(v20) |  ~ v6_rlvect_1(v20) |  ~ v5_rlvect_1(v20) |  ~ v4_rlvect_1(v20) |  ~ v3_rlvect_1(v20) | v3_struct_0(v20) |  ? [v22] : (k2_group_1(v20) = v22 &  ! [v23] :  ! [v24] : ( ~ (k1_rlvect_1(v23) = v24) |  ~ l1_vectsp_2(v23, v20) |  ~ v5_vectsp_2(v23, v20) |  ~ v6_rlvect_1(v23) |  ~ v5_rlvect_1(v23) |  ~ v4_rlvect_1(v23) |  ~ v3_rlvect_1(v23) | v3_struct_0(v23) |  ? [v25] : (u1_struct_0(v23) = v25 &  ! [v26] :  ! [v27] : (v22 = v21 |  ~ (k8_rlvect_2(v23, v26, v24) = v27) |  ~ v1_rmod_5(v27, v20, v23) |  ~ m1_subset_1(v26, v25) |  ~ m1_subset_1(v24, v25)) &  ! [v26] :  ! [v27] : (v22 = v21 |  ~ (k8_rlvect_2(v23, v24, v26) = v27) |  ~ v1_rmod_5(v27, v20, v23) |  ~ m1_subset_1(v26, v25) |  ~ m1_subset_1(v24, v25)))) &  ! [v23] :  ! [v24] : ( ~ (u1_struct_0(v23) = v24) |  ~ l1_vectsp_2(v23, v20) |  ~ v5_vectsp_2(v23, v20) |  ~ v6_rlvect_1(v23) |  ~ v5_rlvect_1(v23) |  ~ v4_rlvect_1(v23) |  ~ v3_rlvect_1(v23) | v3_struct_0(v23) |  ? [v25] : (k1_rlvect_1(v23) = v25 &  ! [v26] :  ! [v27] : (v22 = v21 |  ~ (k8_rlvect_2(v23, v26, v25) = v27) |  ~ v1_rmod_5(v27, v20, v23) |  ~ m1_subset_1(v26, v24) |  ~ m1_subset_1(v25, v24)) &  ! [v26] :  ! [v27] : (v22 = v21 |  ~ (k8_rlvect_2(v23, v25, v26) = v27) |  ~ v1_rmod_5(v27, v20, v23) |  ~ m1_subset_1(v26, v24) |  ~ m1_subset_1(v25, v24)))))) &  ! [v20] :  ! [v21] : ( ~ (u1_struct_0(v20) = v21) |  ~ l2_struct_0(v20) |  ? [v22] : (k1_rlvect_1(v20) = v22 & m1_subset_1(v22, v21))) &  ! [v20] :  ! [v21] : ( ~ (u1_struct_0(v20) = v21) |  ~ l1_struct_0(v20) |  ~ v1_xboole_0(v21) | v3_struct_0(v20)) &  ! [v20] :  ! [v21] : ( ~ (u1_struct_0(v20) = v21) |  ~ l1_struct_0(v20) | v3_struct_0(v20) |  ? [v22] :  ? [v23] : (k1_zfmisc_1(v21) = v22 & v1_finset_1(v23) & m1_subset_1(v23, v22) &  ~ v1_xboole_0(v23))) &  ! [v20] :  ! [v21] : ( ~ (u1_struct_0(v20) = v21) |  ~ l1_struct_0(v20) | v3_struct_0(v20) |  ? [v22] :  ? [v23] : (k1_zfmisc_1(v21) = v22 & m1_subset_1(v23, v22) &  ~ v1_xboole_0(v23))) &  ! [v20] :  ! [v21] : ( ~ (u1_struct_0(v20) = v21) |  ~ l1_group_1(v20) | v3_struct_0(v20) |  ? [v22] : (k2_group_1(v20) = v22 & m1_subset_1(v22, v21))) &  ! [v20] :  ! [v21] : ( ~ (k1_zfmisc_1(v20) = v21) |  ~ v1_xboole_0(v21)) &  ! [v20] :  ! [v21] : ( ~ (k1_zfmisc_1(v20) = v21) | v1_xboole_0(v20) |  ? [v22] : (m1_subset_1(v22, v21) &  ~ v1_xboole_0(v22))) &  ! [v20] :  ! [v21] : ( ~ (k1_zfmisc_1(v20) = v21) |  ? [v22] : (v1_xboole_0(v22) & m1_subset_1(v22, v21))) &  ! [v20] :  ! [v21] : ( ~ l1_struct_0(v20) |  ~ l1_vectsp_2(v21, v20) | l1_rlvect_1(v21)) &  ! [v20] :  ! [v21] : ( ~ v1_xboole_0(v21) |  ~ r2_hidden(v20, v21)) &  ! [v20] :  ! [v21] : ( ~ r2_hidden(v21, v20) |  ~ r2_hidden(v20, v21)) &  ! [v20] :  ! [v21] : ( ~ r2_hidden(v20, v21) | m1_subset_1(v20, v21)) &  ! [v20] :  ! [v21] : ( ~ m1_subset_1(v20, v21) | v1_xboole_0(v21) | r2_hidden(v20, v21)) &  ! [v20] : (v20 = k1_xboole_0 |  ~ v1_xboole_0(v20)) &  ! [v20] : ( ~ l2_vectsp_1(v20) | l2_struct_0(v20)) &  ! [v20] : ( ~ l2_vectsp_1(v20) | l1_vectsp_1(v20)) &  ! [v20] : ( ~ l2_struct_0(v20) | l1_struct_0(v20)) &  ! [v20] : ( ~ l1_rlvect_1(v20) | l2_struct_0(v20)) &  ! [v20] : ( ~ l1_struct_0(v20) |  ? [v21] : (l1_vectsp_2(v21, v20) &  ~ v3_struct_0(v21))) &  ! [v20] : ( ~ l1_struct_0(v20) |  ? [v21] : l1_vectsp_2(v21, v20)) &  ! [v20] : ( ~ l1_group_1(v20) | l1_struct_0(v20)) &  ! [v20] : ( ~ l1_vectsp_1(v20) | l1_group_1(v20)) &  ! [v20] : ( ~ l3_vectsp_1(v20) | l2_vectsp_1(v20)) &  ! [v20] : ( ~ l3_vectsp_1(v20) | l1_rlvect_1(v20)) &  ? [v20] :  ? [v21] : m1_subset_1(v21, v20) &  ? [v20] : r1_tarski(v20, v20) & (v1_rmod_5(v8, v0, v3) | v1_rmod_5(v7, v0, v3)))
% 9.12/2.72  | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18, all_0_19_19 yields:
% 9.12/2.72  | (1)  ~ (all_0_17_17 = all_0_18_18) & k2_group_1(all_0_19_19) = all_0_17_17 & k1_rlvect_1(all_0_16_16) = all_0_14_14 & k1_rlvect_1(all_0_19_19) = all_0_18_18 & k8_rlvect_2(all_0_16_16, all_0_13_13, all_0_14_14) = all_0_12_12 & k8_rlvect_2(all_0_16_16, all_0_14_14, all_0_13_13) = all_0_11_11 & u1_struct_0(all_0_16_16) = all_0_15_15 & l2_vectsp_1(all_0_7_7) & l2_struct_0(all_0_6_6) & l2_struct_0(all_0_9_9) & l1_rlvect_1(all_0_4_4) & l1_struct_0(all_0_5_5) & l1_struct_0(all_0_8_8) & l1_group_1(all_0_3_3) & l1_vectsp_1(all_0_0_0) & v1_xboole_0(all_0_1_1) & v1_xboole_0(k1_xboole_0) & m1_subset_1(all_0_13_13, all_0_15_15) & l1_vectsp_2(all_0_16_16, all_0_19_19) & v5_vectsp_2(all_0_16_16, all_0_19_19) & l3_vectsp_1(all_0_10_10) & l3_vectsp_1(all_0_19_19) & v8_vectsp_1(all_0_19_19) & v7_vectsp_1(all_0_19_19) & v6_vectsp_1(all_0_19_19) & v4_group_1(all_0_19_19) & v6_rlvect_1(all_0_16_16) & v6_rlvect_1(all_0_19_19) & v5_rlvect_1(all_0_16_16) & v5_rlvect_1(all_0_19_19) & v4_rlvect_1(all_0_16_16) & v4_rlvect_1(all_0_19_19) & v3_rlvect_1(all_0_16_16) & v3_rlvect_1(all_0_19_19) &  ~ v1_xboole_0(all_0_2_2) &  ~ v3_struct_0(all_0_8_8) &  ~ v3_struct_0(all_0_9_9) &  ~ v3_struct_0(all_0_16_16) &  ~ v3_struct_0(all_0_19_19) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (k8_rlvect_2(v4, v3, v2) = v1) |  ~ (k8_rlvect_2(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (k2_tarski(v1, v2) = v4) |  ~ (u1_struct_0(v0) = v3) |  ~ l1_struct_0(v0) |  ~ m1_subset_1(v2, v3) |  ~ m1_subset_1(v1, v3) | k8_rlvect_2(v0, v1, v2) = v4 | v3_struct_0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k2_tarski(v3, v2) = v1) |  ~ (k2_tarski(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k8_rlvect_2(v0, v2, v1) = v3) |  ~ l1_struct_0(v0) | v3_struct_0(v0) |  ? [v4] :  ? [v5] : (k8_rlvect_2(v0, v1, v2) = v5 & u1_struct_0(v0) = v4 & (v5 = v3 |  ~ m1_subset_1(v2, v4) |  ~ m1_subset_1(v1, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k8_rlvect_2(v0, v1, v2) = v3) |  ~ l1_struct_0(v0) | v3_struct_0(v0) |  ? [v4] :  ? [v5] : (k8_rlvect_2(v0, v2, v1) = v5 & u1_struct_0(v0) = v4 & (v5 = v3 |  ~ m1_subset_1(v2, v4) |  ~ m1_subset_1(v1, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k8_rlvect_2(v0, v1, v2) = v3) |  ~ l1_struct_0(v0) | v3_struct_0(v0) |  ? [v4] :  ? [v5] : (k2_tarski(v1, v2) = v5 & u1_struct_0(v0) = v4 & (v5 = v3 |  ~ m1_subset_1(v2, v4) |  ~ m1_subset_1(v1, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k8_rlvect_2(v0, v1, v2) = v3) |  ~ l1_struct_0(v0) | v3_struct_0(v0) |  ? [v4] :  ? [v5] : (u1_struct_0(v0) = v4 & k1_zfmisc_1(v4) = v5 & ( ~ m1_subset_1(v2, v4) |  ~ m1_subset_1(v1, v4) | (v1_finset_1(v3) & m1_subset_1(v3, v5))))) &  ! [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] : (v1 = v0 |  ~ (k2_group_1(v2) = v1) |  ~ (k2_group_1(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k1_rlvect_1(v2) = v1) |  ~ (k1_rlvect_1(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (u1_struct_0(v2) = v1) |  ~ (u1_struct_0(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k1_zfmisc_1(v2) = v1) |  ~ (k1_zfmisc_1(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_tarski(v1, v0) = v2) | k2_tarski(v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) |  ~ v1_xboole_0(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | k2_tarski(v1, v0) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (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] : (v1 = v0 |  ~ v1_xboole_0(v1) |  ~ v1_xboole_0(v0)) &  ! [v0] :  ! [v1] : ( ~ (k2_group_1(v0) = v1) |  ~ l1_group_1(v0) | v3_struct_0(v0) |  ? [v2] : (u1_struct_0(v0) = v2 & m1_subset_1(v1, v2))) &  ! [v0] :  ! [v1] : ( ~ (k2_group_1(v0) = v1) |  ~ l3_vectsp_1(v0) |  ~ v8_vectsp_1(v0) |  ~ v7_vectsp_1(v0) |  ~ v6_vectsp_1(v0) |  ~ v4_group_1(v0) |  ~ v6_rlvect_1(v0) |  ~ v5_rlvect_1(v0) |  ~ v4_rlvect_1(v0) |  ~ v3_rlvect_1(v0) | v3_struct_0(v0) |  ? [v2] : (k1_rlvect_1(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (k1_rlvect_1(v3) = v4) |  ~ l1_vectsp_2(v3, v0) |  ~ v5_vectsp_2(v3, v0) |  ~ v6_rlvect_1(v3) |  ~ v5_rlvect_1(v3) |  ~ v4_rlvect_1(v3) |  ~ v3_rlvect_1(v3) | v3_struct_0(v3) |  ? [v5] : (u1_struct_0(v3) = v5 &  ! [v6] :  ! [v7] : (v2 = v1 |  ~ (k8_rlvect_2(v3, v6, v4) = v7) |  ~ v1_rmod_5(v7, v0, v3) |  ~ m1_subset_1(v6, v5) |  ~ m1_subset_1(v4, v5)) &  ! [v6] :  ! [v7] : (v2 = v1 |  ~ (k8_rlvect_2(v3, v4, v6) = v7) |  ~ v1_rmod_5(v7, v0, v3) |  ~ m1_subset_1(v6, v5) |  ~ m1_subset_1(v4, v5)))) &  ! [v3] :  ! [v4] : ( ~ (u1_struct_0(v3) = v4) |  ~ l1_vectsp_2(v3, v0) |  ~ v5_vectsp_2(v3, v0) |  ~ v6_rlvect_1(v3) |  ~ v5_rlvect_1(v3) |  ~ v4_rlvect_1(v3) |  ~ v3_rlvect_1(v3) | v3_struct_0(v3) |  ? [v5] : (k1_rlvect_1(v3) = v5 &  ! [v6] :  ! [v7] : (v2 = v1 |  ~ (k8_rlvect_2(v3, v6, v5) = v7) |  ~ v1_rmod_5(v7, v0, v3) |  ~ m1_subset_1(v6, v4) |  ~ m1_subset_1(v5, v4)) &  ! [v6] :  ! [v7] : (v2 = v1 |  ~ (k8_rlvect_2(v3, v5, v6) = v7) |  ~ v1_rmod_5(v7, v0, v3) |  ~ m1_subset_1(v6, v4) |  ~ m1_subset_1(v5, v4)))))) &  ! [v0] :  ! [v1] : ( ~ (k1_rlvect_1(v0) = v1) |  ~ l2_struct_0(v0) |  ? [v2] : (u1_struct_0(v0) = v2 & m1_subset_1(v1, v2))) &  ! [v0] :  ! [v1] : ( ~ (k1_rlvect_1(v0) = v1) |  ~ l3_vectsp_1(v0) |  ~ v8_vectsp_1(v0) |  ~ v7_vectsp_1(v0) |  ~ v6_vectsp_1(v0) |  ~ v4_group_1(v0) |  ~ v6_rlvect_1(v0) |  ~ v5_rlvect_1(v0) |  ~ v4_rlvect_1(v0) |  ~ v3_rlvect_1(v0) | v3_struct_0(v0) |  ? [v2] : (k2_group_1(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (k1_rlvect_1(v3) = v4) |  ~ l1_vectsp_2(v3, v0) |  ~ v5_vectsp_2(v3, v0) |  ~ v6_rlvect_1(v3) |  ~ v5_rlvect_1(v3) |  ~ v4_rlvect_1(v3) |  ~ v3_rlvect_1(v3) | v3_struct_0(v3) |  ? [v5] : (u1_struct_0(v3) = v5 &  ! [v6] :  ! [v7] : (v2 = v1 |  ~ (k8_rlvect_2(v3, v6, v4) = v7) |  ~ v1_rmod_5(v7, v0, v3) |  ~ m1_subset_1(v6, v5) |  ~ m1_subset_1(v4, v5)) &  ! [v6] :  ! [v7] : (v2 = v1 |  ~ (k8_rlvect_2(v3, v4, v6) = v7) |  ~ v1_rmod_5(v7, v0, v3) |  ~ m1_subset_1(v6, v5) |  ~ m1_subset_1(v4, v5)))) &  ! [v3] :  ! [v4] : ( ~ (u1_struct_0(v3) = v4) |  ~ l1_vectsp_2(v3, v0) |  ~ v5_vectsp_2(v3, v0) |  ~ v6_rlvect_1(v3) |  ~ v5_rlvect_1(v3) |  ~ v4_rlvect_1(v3) |  ~ v3_rlvect_1(v3) | v3_struct_0(v3) |  ? [v5] : (k1_rlvect_1(v3) = v5 &  ! [v6] :  ! [v7] : (v2 = v1 |  ~ (k8_rlvect_2(v3, v6, v5) = v7) |  ~ v1_rmod_5(v7, v0, v3) |  ~ m1_subset_1(v6, v4) |  ~ m1_subset_1(v5, v4)) &  ! [v6] :  ! [v7] : (v2 = v1 |  ~ (k8_rlvect_2(v3, v5, v6) = v7) |  ~ v1_rmod_5(v7, v0, v3) |  ~ m1_subset_1(v6, v4) |  ~ m1_subset_1(v5, v4)))))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l2_struct_0(v0) |  ? [v2] : (k1_rlvect_1(v0) = v2 & m1_subset_1(v2, v1))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_struct_0(v0) |  ~ v1_xboole_0(v1) | v3_struct_0(v0)) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_struct_0(v0) | v3_struct_0(v0) |  ? [v2] :  ? [v3] : (k1_zfmisc_1(v1) = v2 & v1_finset_1(v3) & m1_subset_1(v3, v2) &  ~ v1_xboole_0(v3))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_struct_0(v0) | v3_struct_0(v0) |  ? [v2] :  ? [v3] : (k1_zfmisc_1(v1) = v2 & m1_subset_1(v3, v2) &  ~ v1_xboole_0(v3))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_group_1(v0) | v3_struct_0(v0) |  ? [v2] : (k2_group_1(v0) = v2 & m1_subset_1(v2, v1))) &  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v1_xboole_0(v1)) &  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_xboole_0(v0) |  ? [v2] : (m1_subset_1(v2, v1) &  ~ v1_xboole_0(v2))) &  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) |  ? [v2] : (v1_xboole_0(v2) & m1_subset_1(v2, v1))) &  ! [v0] :  ! [v1] : ( ~ l1_struct_0(v0) |  ~ l1_vectsp_2(v1, v0) | l1_rlvect_1(v1)) &  ! [v0] :  ! [v1] : ( ~ v1_xboole_0(v1) |  ~ r2_hidden(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ r2_hidden(v1, v0) |  ~ r2_hidden(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1)) &  ! [v0] : (v0 = k1_xboole_0 |  ~ v1_xboole_0(v0)) &  ! [v0] : ( ~ l2_vectsp_1(v0) | l2_struct_0(v0)) &  ! [v0] : ( ~ l2_vectsp_1(v0) | l1_vectsp_1(v0)) &  ! [v0] : ( ~ l2_struct_0(v0) | l1_struct_0(v0)) &  ! [v0] : ( ~ l1_rlvect_1(v0) | l2_struct_0(v0)) &  ! [v0] : ( ~ l1_struct_0(v0) |  ? [v1] : (l1_vectsp_2(v1, v0) &  ~ v3_struct_0(v1))) &  ! [v0] : ( ~ l1_struct_0(v0) |  ? [v1] : l1_vectsp_2(v1, v0)) &  ! [v0] : ( ~ l1_group_1(v0) | l1_struct_0(v0)) &  ! [v0] : ( ~ l1_vectsp_1(v0) | l1_group_1(v0)) &  ! [v0] : ( ~ l3_vectsp_1(v0) | l2_vectsp_1(v0)) &  ! [v0] : ( ~ l3_vectsp_1(v0) | l1_rlvect_1(v0)) &  ? [v0] :  ? [v1] : m1_subset_1(v1, v0) &  ? [v0] : r1_tarski(v0, v0) & (v1_rmod_5(all_0_11_11, all_0_19_19, all_0_16_16) | v1_rmod_5(all_0_12_12, all_0_19_19, all_0_16_16))
% 9.12/2.74  |
% 9.12/2.74  | Applying alpha-rule on (1) yields:
% 9.12/2.74  | (2)  ! [v0] : ( ~ l2_vectsp_1(v0) | l2_struct_0(v0))
% 9.12/2.74  | (3) v3_rlvect_1(all_0_19_19)
% 9.12/2.74  | (4) v5_vectsp_2(all_0_16_16, all_0_19_19)
% 9.12/2.74  | (5)  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v1_xboole_0(v1))
% 9.12/2.74  | (6) v6_vectsp_1(all_0_19_19)
% 9.12/2.74  | (7)  ! [v0] :  ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1))
% 9.12/2.74  | (8) v4_rlvect_1(all_0_16_16)
% 9.12/2.74  | (9) v6_rlvect_1(all_0_19_19)
% 9.12/2.74  | (10) k1_rlvect_1(all_0_19_19) = all_0_18_18
% 9.12/2.74  | (11)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_struct_0(v0) |  ~ v1_xboole_0(v1) | v3_struct_0(v0))
% 9.12/2.74  | (12) l3_vectsp_1(all_0_19_19)
% 9.12/2.74  | (13) l1_vectsp_1(all_0_0_0)
% 9.12/2.74  | (14)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k8_rlvect_2(v0, v1, v2) = v3) |  ~ l1_struct_0(v0) | v3_struct_0(v0) |  ? [v4] :  ? [v5] : (k8_rlvect_2(v0, v2, v1) = v5 & u1_struct_0(v0) = v4 & (v5 = v3 |  ~ m1_subset_1(v2, v4) |  ~ m1_subset_1(v1, v4))))
% 9.12/2.74  | (15) v5_rlvect_1(all_0_19_19)
% 9.12/2.74  | (16) l2_struct_0(all_0_9_9)
% 9.12/2.74  | (17)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k1_zfmisc_1(v2) = v1) |  ~ (k1_zfmisc_1(v2) = v0))
% 9.12/2.74  | (18) l1_rlvect_1(all_0_4_4)
% 9.12/2.74  | (19)  ! [v0] : ( ~ l1_group_1(v0) | l1_struct_0(v0))
% 9.12/2.74  | (20)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) |  ~ v1_xboole_0(v2))
% 9.12/2.74  | (21)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ v1_xboole_0(v1) |  ~ v1_xboole_0(v0))
% 9.12/2.74  | (22)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) |  ~ v1_xboole_0(v2) |  ~ r2_hidden(v0, v1) |  ~ m1_subset_1(v1, v3))
% 9.12/2.74  | (23)  ~ v3_struct_0(all_0_8_8)
% 9.12/2.74  | (24)  ! [v0] : ( ~ l1_struct_0(v0) |  ? [v1] : l1_vectsp_2(v1, v0))
% 9.12/2.74  | (25)  ! [v0] : ( ~ l3_vectsp_1(v0) | l2_vectsp_1(v0))
% 9.12/2.74  | (26)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | k2_tarski(v1, v0) = v2)
% 9.12/2.74  | (27)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_tarski(v1, v0) = v2) | k2_tarski(v0, v1) = v2)
% 9.12/2.75  | (28) l1_struct_0(all_0_8_8)
% 9.12/2.75  | (29)  ! [v0] : (v0 = k1_xboole_0 |  ~ v1_xboole_0(v0))
% 9.12/2.75  | (30)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_struct_0(v0) | v3_struct_0(v0) |  ? [v2] :  ? [v3] : (k1_zfmisc_1(v1) = v2 & m1_subset_1(v3, v2) &  ~ v1_xboole_0(v3)))
% 9.12/2.75  | (31)  ~ v1_xboole_0(all_0_2_2)
% 9.12/2.75  | (32) v6_rlvect_1(all_0_16_16)
% 9.12/2.75  | (33) k1_rlvect_1(all_0_16_16) = all_0_14_14
% 9.12/2.75  | (34)  ? [v0] :  ? [v1] : m1_subset_1(v1, v0)
% 9.12/2.75  | (35)  ~ v3_struct_0(all_0_19_19)
% 9.12/2.75  | (36)  ! [v0] :  ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1))
% 9.12/2.75  | (37)  ? [v0] : r1_tarski(v0, v0)
% 9.12/2.75  | (38) v7_vectsp_1(all_0_19_19)
% 9.12/2.75  | (39) l1_struct_0(all_0_5_5)
% 9.12/2.75  | (40) m1_subset_1(all_0_13_13, all_0_15_15)
% 9.12/2.75  | (41)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k8_rlvect_2(v0, v1, v2) = v3) |  ~ l1_struct_0(v0) | v3_struct_0(v0) |  ? [v4] :  ? [v5] : (k2_tarski(v1, v2) = v5 & u1_struct_0(v0) = v4 & (v5 = v3 |  ~ m1_subset_1(v2, v4) |  ~ m1_subset_1(v1, v4))))
% 9.12/2.75  | (42)  ! [v0] :  ! [v1] : ( ~ (k1_rlvect_1(v0) = v1) |  ~ l2_struct_0(v0) |  ? [v2] : (u1_struct_0(v0) = v2 & m1_subset_1(v1, v2)))
% 9.12/2.75  | (43)  ! [v0] : ( ~ l3_vectsp_1(v0) | l1_rlvect_1(v0))
% 9.12/2.75  | (44)  ! [v0] : ( ~ l2_vectsp_1(v0) | l1_vectsp_1(v0))
% 9.12/2.75  | (45) k8_rlvect_2(all_0_16_16, all_0_13_13, all_0_14_14) = all_0_12_12
% 9.12/2.75  | (46)  ! [v0] : ( ~ l2_struct_0(v0) | l1_struct_0(v0))
% 9.12/2.75  | (47)  ! [v0] :  ! [v1] : ( ~ r2_hidden(v1, v0) |  ~ r2_hidden(v0, v1))
% 9.12/2.75  | (48)  ! [v0] :  ! [v1] : ( ~ (k2_group_1(v0) = v1) |  ~ l3_vectsp_1(v0) |  ~ v8_vectsp_1(v0) |  ~ v7_vectsp_1(v0) |  ~ v6_vectsp_1(v0) |  ~ v4_group_1(v0) |  ~ v6_rlvect_1(v0) |  ~ v5_rlvect_1(v0) |  ~ v4_rlvect_1(v0) |  ~ v3_rlvect_1(v0) | v3_struct_0(v0) |  ? [v2] : (k1_rlvect_1(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (k1_rlvect_1(v3) = v4) |  ~ l1_vectsp_2(v3, v0) |  ~ v5_vectsp_2(v3, v0) |  ~ v6_rlvect_1(v3) |  ~ v5_rlvect_1(v3) |  ~ v4_rlvect_1(v3) |  ~ v3_rlvect_1(v3) | v3_struct_0(v3) |  ? [v5] : (u1_struct_0(v3) = v5 &  ! [v6] :  ! [v7] : (v2 = v1 |  ~ (k8_rlvect_2(v3, v6, v4) = v7) |  ~ v1_rmod_5(v7, v0, v3) |  ~ m1_subset_1(v6, v5) |  ~ m1_subset_1(v4, v5)) &  ! [v6] :  ! [v7] : (v2 = v1 |  ~ (k8_rlvect_2(v3, v4, v6) = v7) |  ~ v1_rmod_5(v7, v0, v3) |  ~ m1_subset_1(v6, v5) |  ~ m1_subset_1(v4, v5)))) &  ! [v3] :  ! [v4] : ( ~ (u1_struct_0(v3) = v4) |  ~ l1_vectsp_2(v3, v0) |  ~ v5_vectsp_2(v3, v0) |  ~ v6_rlvect_1(v3) |  ~ v5_rlvect_1(v3) |  ~ v4_rlvect_1(v3) |  ~ v3_rlvect_1(v3) | v3_struct_0(v3) |  ? [v5] : (k1_rlvect_1(v3) = v5 &  ! [v6] :  ! [v7] : (v2 = v1 |  ~ (k8_rlvect_2(v3, v6, v5) = v7) |  ~ v1_rmod_5(v7, v0, v3) |  ~ m1_subset_1(v6, v4) |  ~ m1_subset_1(v5, v4)) &  ! [v6] :  ! [v7] : (v2 = v1 |  ~ (k8_rlvect_2(v3, v5, v6) = v7) |  ~ v1_rmod_5(v7, v0, v3) |  ~ m1_subset_1(v6, v4) |  ~ m1_subset_1(v5, v4))))))
% 9.12/2.75  | (49)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_group_1(v0) | v3_struct_0(v0) |  ? [v2] : (k2_group_1(v0) = v2 & m1_subset_1(v2, v1)))
% 9.12/2.75  | (50)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (u1_struct_0(v2) = v1) |  ~ (u1_struct_0(v2) = v0))
% 9.12/2.75  | (51) v4_group_1(all_0_19_19)
% 9.12/2.75  | (52)  ! [v0] : ( ~ l1_rlvect_1(v0) | l2_struct_0(v0))
% 9.12/2.75  | (53)  ! [v0] :  ! [v1] : ( ~ l1_struct_0(v0) |  ~ l1_vectsp_2(v1, v0) | l1_rlvect_1(v1))
% 9.12/2.75  | (54)  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) |  ? [v2] : (v1_xboole_0(v2) & m1_subset_1(v2, v1)))
% 9.12/2.75  | (55)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) |  ~ r2_hidden(v0, v1) |  ~ m1_subset_1(v1, v3) | m1_subset_1(v0, v2))
% 9.12/2.75  | (56) k8_rlvect_2(all_0_16_16, all_0_14_14, all_0_13_13) = all_0_11_11
% 9.12/2.75  | (57) v1_xboole_0(k1_xboole_0)
% 9.12/2.75  | (58)  ! [v0] :  ! [v1] : ( ~ (k2_group_1(v0) = v1) |  ~ l1_group_1(v0) | v3_struct_0(v0) |  ? [v2] : (u1_struct_0(v0) = v2 & m1_subset_1(v1, v2)))
% 9.12/2.75  | (59)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (k2_tarski(v1, v2) = v4) |  ~ (u1_struct_0(v0) = v3) |  ~ l1_struct_0(v0) |  ~ m1_subset_1(v2, v3) |  ~ m1_subset_1(v1, v3) | k8_rlvect_2(v0, v1, v2) = v4 | v3_struct_0(v0))
% 9.12/2.75  | (60) l1_group_1(all_0_3_3)
% 9.12/2.75  | (61) l2_vectsp_1(all_0_7_7)
% 9.12/2.75  | (62) l2_struct_0(all_0_6_6)
% 9.12/2.75  | (63) v4_rlvect_1(all_0_19_19)
% 9.12/2.75  | (64) v5_rlvect_1(all_0_16_16)
% 9.12/2.75  | (65)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (k8_rlvect_2(v4, v3, v2) = v1) |  ~ (k8_rlvect_2(v4, v3, v2) = v0))
% 9.12/2.76  | (66)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k2_tarski(v3, v2) = v1) |  ~ (k2_tarski(v3, v2) = v0))
% 9.12/2.76  | (67) u1_struct_0(all_0_16_16) = all_0_15_15
% 9.12/2.76  | (68)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l2_struct_0(v0) |  ? [v2] : (k1_rlvect_1(v0) = v2 & m1_subset_1(v2, v1)))
% 9.12/2.76  | (69)  ~ (all_0_17_17 = all_0_18_18)
% 9.12/2.76  | (70)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k1_rlvect_1(v2) = v1) |  ~ (k1_rlvect_1(v2) = v0))
% 9.12/2.76  | (71) v8_vectsp_1(all_0_19_19)
% 9.12/2.76  | (72) k2_group_1(all_0_19_19) = all_0_17_17
% 9.12/2.76  | (73)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k2_group_1(v2) = v1) |  ~ (k2_group_1(v2) = v0))
% 9.12/2.76  | (74)  ! [v0] :  ! [v1] : ( ~ v1_xboole_0(v1) |  ~ r2_hidden(v0, v1))
% 9.12/2.76  | (75)  ! [v0] : ( ~ l1_struct_0(v0) |  ? [v1] : (l1_vectsp_2(v1, v0) &  ~ v3_struct_0(v1)))
% 9.12/2.76  | (76) v1_rmod_5(all_0_11_11, all_0_19_19, all_0_16_16) | v1_rmod_5(all_0_12_12, all_0_19_19, all_0_16_16)
% 9.12/2.76  | (77)  ~ v3_struct_0(all_0_9_9)
% 9.12/2.76  | (78) v1_xboole_0(all_0_1_1)
% 9.12/2.76  | (79)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k8_rlvect_2(v0, v1, v2) = v3) |  ~ l1_struct_0(v0) | v3_struct_0(v0) |  ? [v4] :  ? [v5] : (u1_struct_0(v0) = v4 & k1_zfmisc_1(v4) = v5 & ( ~ m1_subset_1(v2, v4) |  ~ m1_subset_1(v1, v4) | (v1_finset_1(v3) & m1_subset_1(v3, v5)))))
% 9.12/2.76  | (80)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_struct_0(v0) | v3_struct_0(v0) |  ? [v2] :  ? [v3] : (k1_zfmisc_1(v1) = v2 & v1_finset_1(v3) & m1_subset_1(v3, v2) &  ~ v1_xboole_0(v3)))
% 9.12/2.76  | (81)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k8_rlvect_2(v0, v2, v1) = v3) |  ~ l1_struct_0(v0) | v3_struct_0(v0) |  ? [v4] :  ? [v5] : (k8_rlvect_2(v0, v1, v2) = v5 & u1_struct_0(v0) = v4 & (v5 = v3 |  ~ m1_subset_1(v2, v4) |  ~ m1_subset_1(v1, v4))))
% 9.12/2.76  | (82)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) |  ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1))
% 9.12/2.76  | (83)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) |  ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2))
% 9.12/2.76  | (84) v3_rlvect_1(all_0_16_16)
% 9.12/2.76  | (85)  ! [v0] :  ! [v1] : ( ~ (k1_rlvect_1(v0) = v1) |  ~ l3_vectsp_1(v0) |  ~ v8_vectsp_1(v0) |  ~ v7_vectsp_1(v0) |  ~ v6_vectsp_1(v0) |  ~ v4_group_1(v0) |  ~ v6_rlvect_1(v0) |  ~ v5_rlvect_1(v0) |  ~ v4_rlvect_1(v0) |  ~ v3_rlvect_1(v0) | v3_struct_0(v0) |  ? [v2] : (k2_group_1(v0) = v2 &  ! [v3] :  ! [v4] : ( ~ (k1_rlvect_1(v3) = v4) |  ~ l1_vectsp_2(v3, v0) |  ~ v5_vectsp_2(v3, v0) |  ~ v6_rlvect_1(v3) |  ~ v5_rlvect_1(v3) |  ~ v4_rlvect_1(v3) |  ~ v3_rlvect_1(v3) | v3_struct_0(v3) |  ? [v5] : (u1_struct_0(v3) = v5 &  ! [v6] :  ! [v7] : (v2 = v1 |  ~ (k8_rlvect_2(v3, v6, v4) = v7) |  ~ v1_rmod_5(v7, v0, v3) |  ~ m1_subset_1(v6, v5) |  ~ m1_subset_1(v4, v5)) &  ! [v6] :  ! [v7] : (v2 = v1 |  ~ (k8_rlvect_2(v3, v4, v6) = v7) |  ~ v1_rmod_5(v7, v0, v3) |  ~ m1_subset_1(v6, v5) |  ~ m1_subset_1(v4, v5)))) &  ! [v3] :  ! [v4] : ( ~ (u1_struct_0(v3) = v4) |  ~ l1_vectsp_2(v3, v0) |  ~ v5_vectsp_2(v3, v0) |  ~ v6_rlvect_1(v3) |  ~ v5_rlvect_1(v3) |  ~ v4_rlvect_1(v3) |  ~ v3_rlvect_1(v3) | v3_struct_0(v3) |  ? [v5] : (k1_rlvect_1(v3) = v5 &  ! [v6] :  ! [v7] : (v2 = v1 |  ~ (k8_rlvect_2(v3, v6, v5) = v7) |  ~ v1_rmod_5(v7, v0, v3) |  ~ m1_subset_1(v6, v4) |  ~ m1_subset_1(v5, v4)) &  ! [v6] :  ! [v7] : (v2 = v1 |  ~ (k8_rlvect_2(v3, v5, v6) = v7) |  ~ v1_rmod_5(v7, v0, v3) |  ~ m1_subset_1(v6, v4) |  ~ m1_subset_1(v5, v4))))))
% 9.12/2.76  | (86)  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_xboole_0(v0) |  ? [v2] : (m1_subset_1(v2, v1) &  ~ v1_xboole_0(v2)))
% 9.12/2.76  | (87)  ! [v0] : ( ~ l1_vectsp_1(v0) | l1_group_1(v0))
% 9.12/2.76  | (88)  ~ v3_struct_0(all_0_16_16)
% 9.12/2.76  | (89) l3_vectsp_1(all_0_10_10)
% 9.12/2.76  | (90) l1_vectsp_2(all_0_16_16, all_0_19_19)
% 9.12/2.76  |
% 9.12/2.76  | Instantiating formula (43) with all_0_19_19 and discharging atoms l3_vectsp_1(all_0_19_19), yields:
% 9.12/2.77  | (91) l1_rlvect_1(all_0_19_19)
% 9.12/2.77  |
% 9.12/2.77  | Instantiating formula (48) with all_0_17_17, all_0_19_19 and discharging atoms k2_group_1(all_0_19_19) = all_0_17_17, l3_vectsp_1(all_0_19_19), v8_vectsp_1(all_0_19_19), v7_vectsp_1(all_0_19_19), v6_vectsp_1(all_0_19_19), v4_group_1(all_0_19_19), v6_rlvect_1(all_0_19_19), v5_rlvect_1(all_0_19_19), v4_rlvect_1(all_0_19_19), v3_rlvect_1(all_0_19_19),  ~ v3_struct_0(all_0_19_19), yields:
% 9.12/2.77  | (92)  ? [v0] : (k1_rlvect_1(all_0_19_19) = v0 &  ! [v1] :  ! [v2] : ( ~ (k1_rlvect_1(v1) = v2) |  ~ l1_vectsp_2(v1, all_0_19_19) |  ~ v5_vectsp_2(v1, all_0_19_19) |  ~ v6_rlvect_1(v1) |  ~ v5_rlvect_1(v1) |  ~ v4_rlvect_1(v1) |  ~ v3_rlvect_1(v1) | v3_struct_0(v1) |  ? [v3] : (u1_struct_0(v1) = v3 &  ! [v4] :  ! [v5] : (v0 = all_0_17_17 |  ~ (k8_rlvect_2(v1, v4, v2) = v5) |  ~ v1_rmod_5(v5, all_0_19_19, v1) |  ~ m1_subset_1(v4, v3) |  ~ m1_subset_1(v2, v3)) &  ! [v4] :  ! [v5] : (v0 = all_0_17_17 |  ~ (k8_rlvect_2(v1, v2, v4) = v5) |  ~ v1_rmod_5(v5, all_0_19_19, v1) |  ~ m1_subset_1(v4, v3) |  ~ m1_subset_1(v2, v3)))) &  ! [v1] :  ! [v2] : ( ~ (u1_struct_0(v1) = v2) |  ~ l1_vectsp_2(v1, all_0_19_19) |  ~ v5_vectsp_2(v1, all_0_19_19) |  ~ v6_rlvect_1(v1) |  ~ v5_rlvect_1(v1) |  ~ v4_rlvect_1(v1) |  ~ v3_rlvect_1(v1) | v3_struct_0(v1) |  ? [v3] : (k1_rlvect_1(v1) = v3 &  ! [v4] :  ! [v5] : (v0 = all_0_17_17 |  ~ (k8_rlvect_2(v1, v4, v3) = v5) |  ~ v1_rmod_5(v5, all_0_19_19, v1) |  ~ m1_subset_1(v4, v2) |  ~ m1_subset_1(v3, v2)) &  ! [v4] :  ! [v5] : (v0 = all_0_17_17 |  ~ (k8_rlvect_2(v1, v3, v4) = v5) |  ~ v1_rmod_5(v5, all_0_19_19, v1) |  ~ m1_subset_1(v4, v2) |  ~ m1_subset_1(v3, v2)))))
% 9.12/2.77  |
% 9.12/2.77  | Instantiating formula (85) with all_0_18_18, all_0_19_19 and discharging atoms k1_rlvect_1(all_0_19_19) = all_0_18_18, l3_vectsp_1(all_0_19_19), v8_vectsp_1(all_0_19_19), v7_vectsp_1(all_0_19_19), v6_vectsp_1(all_0_19_19), v4_group_1(all_0_19_19), v6_rlvect_1(all_0_19_19), v5_rlvect_1(all_0_19_19), v4_rlvect_1(all_0_19_19), v3_rlvect_1(all_0_19_19),  ~ v3_struct_0(all_0_19_19), yields:
% 9.12/2.77  | (93)  ? [v0] : (k2_group_1(all_0_19_19) = v0 &  ! [v1] :  ! [v2] : ( ~ (k1_rlvect_1(v1) = v2) |  ~ l1_vectsp_2(v1, all_0_19_19) |  ~ v5_vectsp_2(v1, all_0_19_19) |  ~ v6_rlvect_1(v1) |  ~ v5_rlvect_1(v1) |  ~ v4_rlvect_1(v1) |  ~ v3_rlvect_1(v1) | v3_struct_0(v1) |  ? [v3] : (u1_struct_0(v1) = v3 &  ! [v4] :  ! [v5] : (v0 = all_0_18_18 |  ~ (k8_rlvect_2(v1, v4, v2) = v5) |  ~ v1_rmod_5(v5, all_0_19_19, v1) |  ~ m1_subset_1(v4, v3) |  ~ m1_subset_1(v2, v3)) &  ! [v4] :  ! [v5] : (v0 = all_0_18_18 |  ~ (k8_rlvect_2(v1, v2, v4) = v5) |  ~ v1_rmod_5(v5, all_0_19_19, v1) |  ~ m1_subset_1(v4, v3) |  ~ m1_subset_1(v2, v3)))) &  ! [v1] :  ! [v2] : ( ~ (u1_struct_0(v1) = v2) |  ~ l1_vectsp_2(v1, all_0_19_19) |  ~ v5_vectsp_2(v1, all_0_19_19) |  ~ v6_rlvect_1(v1) |  ~ v5_rlvect_1(v1) |  ~ v4_rlvect_1(v1) |  ~ v3_rlvect_1(v1) | v3_struct_0(v1) |  ? [v3] : (k1_rlvect_1(v1) = v3 &  ! [v4] :  ! [v5] : (v0 = all_0_18_18 |  ~ (k8_rlvect_2(v1, v4, v3) = v5) |  ~ v1_rmod_5(v5, all_0_19_19, v1) |  ~ m1_subset_1(v4, v2) |  ~ m1_subset_1(v3, v2)) &  ! [v4] :  ! [v5] : (v0 = all_0_18_18 |  ~ (k8_rlvect_2(v1, v3, v4) = v5) |  ~ v1_rmod_5(v5, all_0_19_19, v1) |  ~ m1_subset_1(v4, v2) |  ~ m1_subset_1(v3, v2)))))
% 9.12/2.77  |
% 9.12/2.77  | Instantiating (93) with all_25_0_27 yields:
% 9.12/2.77  | (94) k2_group_1(all_0_19_19) = all_25_0_27 &  ! [v0] :  ! [v1] : ( ~ (k1_rlvect_1(v0) = v1) |  ~ l1_vectsp_2(v0, all_0_19_19) |  ~ v5_vectsp_2(v0, all_0_19_19) |  ~ v6_rlvect_1(v0) |  ~ v5_rlvect_1(v0) |  ~ v4_rlvect_1(v0) |  ~ v3_rlvect_1(v0) | v3_struct_0(v0) |  ? [v2] : (u1_struct_0(v0) = v2 &  ! [v3] :  ! [v4] : (all_25_0_27 = all_0_18_18 |  ~ (k8_rlvect_2(v0, v3, v1) = v4) |  ~ v1_rmod_5(v4, all_0_19_19, v0) |  ~ m1_subset_1(v3, v2) |  ~ m1_subset_1(v1, v2)) &  ! [v3] :  ! [v4] : (all_25_0_27 = all_0_18_18 |  ~ (k8_rlvect_2(v0, v1, v3) = v4) |  ~ v1_rmod_5(v4, all_0_19_19, v0) |  ~ m1_subset_1(v3, v2) |  ~ m1_subset_1(v1, v2)))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_vectsp_2(v0, all_0_19_19) |  ~ v5_vectsp_2(v0, all_0_19_19) |  ~ v6_rlvect_1(v0) |  ~ v5_rlvect_1(v0) |  ~ v4_rlvect_1(v0) |  ~ v3_rlvect_1(v0) | v3_struct_0(v0) |  ? [v2] : (k1_rlvect_1(v0) = v2 &  ! [v3] :  ! [v4] : (all_25_0_27 = all_0_18_18 |  ~ (k8_rlvect_2(v0, v3, v2) = v4) |  ~ v1_rmod_5(v4, all_0_19_19, v0) |  ~ m1_subset_1(v3, v1) |  ~ m1_subset_1(v2, v1)) &  ! [v3] :  ! [v4] : (all_25_0_27 = all_0_18_18 |  ~ (k8_rlvect_2(v0, v2, v3) = v4) |  ~ v1_rmod_5(v4, all_0_19_19, v0) |  ~ m1_subset_1(v3, v1) |  ~ m1_subset_1(v2, v1))))
% 9.12/2.77  |
% 9.12/2.77  | Applying alpha-rule on (94) yields:
% 9.12/2.77  | (95) k2_group_1(all_0_19_19) = all_25_0_27
% 9.12/2.77  | (96)  ! [v0] :  ! [v1] : ( ~ (k1_rlvect_1(v0) = v1) |  ~ l1_vectsp_2(v0, all_0_19_19) |  ~ v5_vectsp_2(v0, all_0_19_19) |  ~ v6_rlvect_1(v0) |  ~ v5_rlvect_1(v0) |  ~ v4_rlvect_1(v0) |  ~ v3_rlvect_1(v0) | v3_struct_0(v0) |  ? [v2] : (u1_struct_0(v0) = v2 &  ! [v3] :  ! [v4] : (all_25_0_27 = all_0_18_18 |  ~ (k8_rlvect_2(v0, v3, v1) = v4) |  ~ v1_rmod_5(v4, all_0_19_19, v0) |  ~ m1_subset_1(v3, v2) |  ~ m1_subset_1(v1, v2)) &  ! [v3] :  ! [v4] : (all_25_0_27 = all_0_18_18 |  ~ (k8_rlvect_2(v0, v1, v3) = v4) |  ~ v1_rmod_5(v4, all_0_19_19, v0) |  ~ m1_subset_1(v3, v2) |  ~ m1_subset_1(v1, v2))))
% 9.12/2.77  | (97)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_vectsp_2(v0, all_0_19_19) |  ~ v5_vectsp_2(v0, all_0_19_19) |  ~ v6_rlvect_1(v0) |  ~ v5_rlvect_1(v0) |  ~ v4_rlvect_1(v0) |  ~ v3_rlvect_1(v0) | v3_struct_0(v0) |  ? [v2] : (k1_rlvect_1(v0) = v2 &  ! [v3] :  ! [v4] : (all_25_0_27 = all_0_18_18 |  ~ (k8_rlvect_2(v0, v3, v2) = v4) |  ~ v1_rmod_5(v4, all_0_19_19, v0) |  ~ m1_subset_1(v3, v1) |  ~ m1_subset_1(v2, v1)) &  ! [v3] :  ! [v4] : (all_25_0_27 = all_0_18_18 |  ~ (k8_rlvect_2(v0, v2, v3) = v4) |  ~ v1_rmod_5(v4, all_0_19_19, v0) |  ~ m1_subset_1(v3, v1) |  ~ m1_subset_1(v2, v1))))
% 9.12/2.78  |
% 9.12/2.78  | Instantiating formula (96) with all_0_14_14, all_0_16_16 and discharging atoms k1_rlvect_1(all_0_16_16) = all_0_14_14, l1_vectsp_2(all_0_16_16, all_0_19_19), v5_vectsp_2(all_0_16_16, all_0_19_19), v6_rlvect_1(all_0_16_16), v5_rlvect_1(all_0_16_16), v4_rlvect_1(all_0_16_16), v3_rlvect_1(all_0_16_16),  ~ v3_struct_0(all_0_16_16), yields:
% 9.12/2.78  | (98)  ? [v0] : (u1_struct_0(all_0_16_16) = v0 &  ! [v1] :  ! [v2] : (all_25_0_27 = all_0_18_18 |  ~ (k8_rlvect_2(all_0_16_16, v1, all_0_14_14) = v2) |  ~ v1_rmod_5(v2, all_0_19_19, all_0_16_16) |  ~ m1_subset_1(v1, v0) |  ~ m1_subset_1(all_0_14_14, v0)) &  ! [v1] :  ! [v2] : (all_25_0_27 = all_0_18_18 |  ~ (k8_rlvect_2(all_0_16_16, all_0_14_14, v1) = v2) |  ~ v1_rmod_5(v2, all_0_19_19, all_0_16_16) |  ~ m1_subset_1(v1, v0) |  ~ m1_subset_1(all_0_14_14, v0)))
% 9.12/2.78  |
% 9.12/2.78  | Instantiating formula (97) with all_0_15_15, all_0_16_16 and discharging atoms u1_struct_0(all_0_16_16) = all_0_15_15, l1_vectsp_2(all_0_16_16, all_0_19_19), v5_vectsp_2(all_0_16_16, all_0_19_19), v6_rlvect_1(all_0_16_16), v5_rlvect_1(all_0_16_16), v4_rlvect_1(all_0_16_16), v3_rlvect_1(all_0_16_16),  ~ v3_struct_0(all_0_16_16), yields:
% 9.12/2.78  | (99)  ? [v0] : (k1_rlvect_1(all_0_16_16) = v0 &  ! [v1] :  ! [v2] : (all_25_0_27 = all_0_18_18 |  ~ (k8_rlvect_2(all_0_16_16, v1, v0) = v2) |  ~ v1_rmod_5(v2, all_0_19_19, all_0_16_16) |  ~ m1_subset_1(v1, all_0_15_15) |  ~ m1_subset_1(v0, all_0_15_15)) &  ! [v1] :  ! [v2] : (all_25_0_27 = all_0_18_18 |  ~ (k8_rlvect_2(all_0_16_16, v0, v1) = v2) |  ~ v1_rmod_5(v2, all_0_19_19, all_0_16_16) |  ~ m1_subset_1(v1, all_0_15_15) |  ~ m1_subset_1(v0, all_0_15_15)))
% 9.12/2.78  |
% 9.12/2.78  | Instantiating (92) with all_28_0_28 yields:
% 9.12/2.78  | (100) k1_rlvect_1(all_0_19_19) = all_28_0_28 &  ! [v0] :  ! [v1] : ( ~ (k1_rlvect_1(v0) = v1) |  ~ l1_vectsp_2(v0, all_0_19_19) |  ~ v5_vectsp_2(v0, all_0_19_19) |  ~ v6_rlvect_1(v0) |  ~ v5_rlvect_1(v0) |  ~ v4_rlvect_1(v0) |  ~ v3_rlvect_1(v0) | v3_struct_0(v0) |  ? [v2] : (u1_struct_0(v0) = v2 &  ! [v3] :  ! [v4] : (all_28_0_28 = all_0_17_17 |  ~ (k8_rlvect_2(v0, v3, v1) = v4) |  ~ v1_rmod_5(v4, all_0_19_19, v0) |  ~ m1_subset_1(v3, v2) |  ~ m1_subset_1(v1, v2)) &  ! [v3] :  ! [v4] : (all_28_0_28 = all_0_17_17 |  ~ (k8_rlvect_2(v0, v1, v3) = v4) |  ~ v1_rmod_5(v4, all_0_19_19, v0) |  ~ m1_subset_1(v3, v2) |  ~ m1_subset_1(v1, v2)))) &  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_vectsp_2(v0, all_0_19_19) |  ~ v5_vectsp_2(v0, all_0_19_19) |  ~ v6_rlvect_1(v0) |  ~ v5_rlvect_1(v0) |  ~ v4_rlvect_1(v0) |  ~ v3_rlvect_1(v0) | v3_struct_0(v0) |  ? [v2] : (k1_rlvect_1(v0) = v2 &  ! [v3] :  ! [v4] : (all_28_0_28 = all_0_17_17 |  ~ (k8_rlvect_2(v0, v3, v2) = v4) |  ~ v1_rmod_5(v4, all_0_19_19, v0) |  ~ m1_subset_1(v3, v1) |  ~ m1_subset_1(v2, v1)) &  ! [v3] :  ! [v4] : (all_28_0_28 = all_0_17_17 |  ~ (k8_rlvect_2(v0, v2, v3) = v4) |  ~ v1_rmod_5(v4, all_0_19_19, v0) |  ~ m1_subset_1(v3, v1) |  ~ m1_subset_1(v2, v1))))
% 9.12/2.78  |
% 9.12/2.78  | Applying alpha-rule on (100) yields:
% 9.12/2.78  | (101) k1_rlvect_1(all_0_19_19) = all_28_0_28
% 9.12/2.78  | (102)  ! [v0] :  ! [v1] : ( ~ (k1_rlvect_1(v0) = v1) |  ~ l1_vectsp_2(v0, all_0_19_19) |  ~ v5_vectsp_2(v0, all_0_19_19) |  ~ v6_rlvect_1(v0) |  ~ v5_rlvect_1(v0) |  ~ v4_rlvect_1(v0) |  ~ v3_rlvect_1(v0) | v3_struct_0(v0) |  ? [v2] : (u1_struct_0(v0) = v2 &  ! [v3] :  ! [v4] : (all_28_0_28 = all_0_17_17 |  ~ (k8_rlvect_2(v0, v3, v1) = v4) |  ~ v1_rmod_5(v4, all_0_19_19, v0) |  ~ m1_subset_1(v3, v2) |  ~ m1_subset_1(v1, v2)) &  ! [v3] :  ! [v4] : (all_28_0_28 = all_0_17_17 |  ~ (k8_rlvect_2(v0, v1, v3) = v4) |  ~ v1_rmod_5(v4, all_0_19_19, v0) |  ~ m1_subset_1(v3, v2) |  ~ m1_subset_1(v1, v2))))
% 9.12/2.78  | (103)  ! [v0] :  ! [v1] : ( ~ (u1_struct_0(v0) = v1) |  ~ l1_vectsp_2(v0, all_0_19_19) |  ~ v5_vectsp_2(v0, all_0_19_19) |  ~ v6_rlvect_1(v0) |  ~ v5_rlvect_1(v0) |  ~ v4_rlvect_1(v0) |  ~ v3_rlvect_1(v0) | v3_struct_0(v0) |  ? [v2] : (k1_rlvect_1(v0) = v2 &  ! [v3] :  ! [v4] : (all_28_0_28 = all_0_17_17 |  ~ (k8_rlvect_2(v0, v3, v2) = v4) |  ~ v1_rmod_5(v4, all_0_19_19, v0) |  ~ m1_subset_1(v3, v1) |  ~ m1_subset_1(v2, v1)) &  ! [v3] :  ! [v4] : (all_28_0_28 = all_0_17_17 |  ~ (k8_rlvect_2(v0, v2, v3) = v4) |  ~ v1_rmod_5(v4, all_0_19_19, v0) |  ~ m1_subset_1(v3, v1) |  ~ m1_subset_1(v2, v1))))
% 9.61/2.78  |
% 9.61/2.78  | Instantiating formula (102) with all_0_14_14, all_0_16_16 and discharging atoms k1_rlvect_1(all_0_16_16) = all_0_14_14, l1_vectsp_2(all_0_16_16, all_0_19_19), v5_vectsp_2(all_0_16_16, all_0_19_19), v6_rlvect_1(all_0_16_16), v5_rlvect_1(all_0_16_16), v4_rlvect_1(all_0_16_16), v3_rlvect_1(all_0_16_16),  ~ v3_struct_0(all_0_16_16), yields:
% 9.61/2.78  | (104)  ? [v0] : (u1_struct_0(all_0_16_16) = v0 &  ! [v1] :  ! [v2] : (all_28_0_28 = all_0_17_17 |  ~ (k8_rlvect_2(all_0_16_16, v1, all_0_14_14) = v2) |  ~ v1_rmod_5(v2, all_0_19_19, all_0_16_16) |  ~ m1_subset_1(v1, v0) |  ~ m1_subset_1(all_0_14_14, v0)) &  ! [v1] :  ! [v2] : (all_28_0_28 = all_0_17_17 |  ~ (k8_rlvect_2(all_0_16_16, all_0_14_14, v1) = v2) |  ~ v1_rmod_5(v2, all_0_19_19, all_0_16_16) |  ~ m1_subset_1(v1, v0) |  ~ m1_subset_1(all_0_14_14, v0)))
% 9.61/2.79  |
% 9.61/2.79  | Instantiating formula (103) with all_0_15_15, all_0_16_16 and discharging atoms u1_struct_0(all_0_16_16) = all_0_15_15, l1_vectsp_2(all_0_16_16, all_0_19_19), v5_vectsp_2(all_0_16_16, all_0_19_19), v6_rlvect_1(all_0_16_16), v5_rlvect_1(all_0_16_16), v4_rlvect_1(all_0_16_16), v3_rlvect_1(all_0_16_16),  ~ v3_struct_0(all_0_16_16), yields:
% 9.61/2.79  | (105)  ? [v0] : (k1_rlvect_1(all_0_16_16) = v0 &  ! [v1] :  ! [v2] : (all_28_0_28 = all_0_17_17 |  ~ (k8_rlvect_2(all_0_16_16, v1, v0) = v2) |  ~ v1_rmod_5(v2, all_0_19_19, all_0_16_16) |  ~ m1_subset_1(v1, all_0_15_15) |  ~ m1_subset_1(v0, all_0_15_15)) &  ! [v1] :  ! [v2] : (all_28_0_28 = all_0_17_17 |  ~ (k8_rlvect_2(all_0_16_16, v0, v1) = v2) |  ~ v1_rmod_5(v2, all_0_19_19, all_0_16_16) |  ~ m1_subset_1(v1, all_0_15_15) |  ~ m1_subset_1(v0, all_0_15_15)))
% 9.61/2.79  |
% 9.61/2.79  | Instantiating (99) with all_31_0_29 yields:
% 9.61/2.79  | (106) k1_rlvect_1(all_0_16_16) = all_31_0_29 &  ! [v0] :  ! [v1] : (all_25_0_27 = all_0_18_18 |  ~ (k8_rlvect_2(all_0_16_16, v0, all_31_0_29) = v1) |  ~ v1_rmod_5(v1, all_0_19_19, all_0_16_16) |  ~ m1_subset_1(v0, all_0_15_15) |  ~ m1_subset_1(all_31_0_29, all_0_15_15)) &  ! [v0] :  ! [v1] : (all_25_0_27 = all_0_18_18 |  ~ (k8_rlvect_2(all_0_16_16, all_31_0_29, v0) = v1) |  ~ v1_rmod_5(v1, all_0_19_19, all_0_16_16) |  ~ m1_subset_1(v0, all_0_15_15) |  ~ m1_subset_1(all_31_0_29, all_0_15_15))
% 9.61/2.79  |
% 9.61/2.79  | Applying alpha-rule on (106) yields:
% 9.61/2.79  | (107) k1_rlvect_1(all_0_16_16) = all_31_0_29
% 9.61/2.79  | (108)  ! [v0] :  ! [v1] : (all_25_0_27 = all_0_18_18 |  ~ (k8_rlvect_2(all_0_16_16, v0, all_31_0_29) = v1) |  ~ v1_rmod_5(v1, all_0_19_19, all_0_16_16) |  ~ m1_subset_1(v0, all_0_15_15) |  ~ m1_subset_1(all_31_0_29, all_0_15_15))
% 9.61/2.79  | (109)  ! [v0] :  ! [v1] : (all_25_0_27 = all_0_18_18 |  ~ (k8_rlvect_2(all_0_16_16, all_31_0_29, v0) = v1) |  ~ v1_rmod_5(v1, all_0_19_19, all_0_16_16) |  ~ m1_subset_1(v0, all_0_15_15) |  ~ m1_subset_1(all_31_0_29, all_0_15_15))
% 9.61/2.79  |
% 9.61/2.79  | Instantiating (98) with all_34_0_30 yields:
% 9.61/2.79  | (110) u1_struct_0(all_0_16_16) = all_34_0_30 &  ! [v0] :  ! [v1] : (all_25_0_27 = all_0_18_18 |  ~ (k8_rlvect_2(all_0_16_16, v0, all_0_14_14) = v1) |  ~ v1_rmod_5(v1, all_0_19_19, all_0_16_16) |  ~ m1_subset_1(v0, all_34_0_30) |  ~ m1_subset_1(all_0_14_14, all_34_0_30)) &  ! [v0] :  ! [v1] : (all_25_0_27 = all_0_18_18 |  ~ (k8_rlvect_2(all_0_16_16, all_0_14_14, v0) = v1) |  ~ v1_rmod_5(v1, all_0_19_19, all_0_16_16) |  ~ m1_subset_1(v0, all_34_0_30) |  ~ m1_subset_1(all_0_14_14, all_34_0_30))
% 9.61/2.79  |
% 9.61/2.79  | Applying alpha-rule on (110) yields:
% 9.61/2.79  | (111) u1_struct_0(all_0_16_16) = all_34_0_30
% 9.61/2.79  | (112)  ! [v0] :  ! [v1] : (all_25_0_27 = all_0_18_18 |  ~ (k8_rlvect_2(all_0_16_16, v0, all_0_14_14) = v1) |  ~ v1_rmod_5(v1, all_0_19_19, all_0_16_16) |  ~ m1_subset_1(v0, all_34_0_30) |  ~ m1_subset_1(all_0_14_14, all_34_0_30))
% 9.61/2.79  | (113)  ! [v0] :  ! [v1] : (all_25_0_27 = all_0_18_18 |  ~ (k8_rlvect_2(all_0_16_16, all_0_14_14, v0) = v1) |  ~ v1_rmod_5(v1, all_0_19_19, all_0_16_16) |  ~ m1_subset_1(v0, all_34_0_30) |  ~ m1_subset_1(all_0_14_14, all_34_0_30))
% 9.61/2.79  |
% 9.61/2.79  | Instantiating (105) with all_37_0_31 yields:
% 9.61/2.79  | (114) k1_rlvect_1(all_0_16_16) = all_37_0_31 &  ! [v0] :  ! [v1] : (all_28_0_28 = all_0_17_17 |  ~ (k8_rlvect_2(all_0_16_16, v0, all_37_0_31) = v1) |  ~ v1_rmod_5(v1, all_0_19_19, all_0_16_16) |  ~ m1_subset_1(v0, all_0_15_15) |  ~ m1_subset_1(all_37_0_31, all_0_15_15)) &  ! [v0] :  ! [v1] : (all_28_0_28 = all_0_17_17 |  ~ (k8_rlvect_2(all_0_16_16, all_37_0_31, v0) = v1) |  ~ v1_rmod_5(v1, all_0_19_19, all_0_16_16) |  ~ m1_subset_1(v0, all_0_15_15) |  ~ m1_subset_1(all_37_0_31, all_0_15_15))
% 9.61/2.79  |
% 9.61/2.79  | Applying alpha-rule on (114) yields:
% 9.61/2.79  | (115) k1_rlvect_1(all_0_16_16) = all_37_0_31
% 9.61/2.79  | (116)  ! [v0] :  ! [v1] : (all_28_0_28 = all_0_17_17 |  ~ (k8_rlvect_2(all_0_16_16, v0, all_37_0_31) = v1) |  ~ v1_rmod_5(v1, all_0_19_19, all_0_16_16) |  ~ m1_subset_1(v0, all_0_15_15) |  ~ m1_subset_1(all_37_0_31, all_0_15_15))
% 9.61/2.79  | (117)  ! [v0] :  ! [v1] : (all_28_0_28 = all_0_17_17 |  ~ (k8_rlvect_2(all_0_16_16, all_37_0_31, v0) = v1) |  ~ v1_rmod_5(v1, all_0_19_19, all_0_16_16) |  ~ m1_subset_1(v0, all_0_15_15) |  ~ m1_subset_1(all_37_0_31, all_0_15_15))
% 9.61/2.79  |
% 9.61/2.79  | Instantiating (104) with all_40_0_32 yields:
% 9.61/2.79  | (118) u1_struct_0(all_0_16_16) = all_40_0_32 &  ! [v0] :  ! [v1] : (all_28_0_28 = all_0_17_17 |  ~ (k8_rlvect_2(all_0_16_16, v0, all_0_14_14) = v1) |  ~ v1_rmod_5(v1, all_0_19_19, all_0_16_16) |  ~ m1_subset_1(v0, all_40_0_32) |  ~ m1_subset_1(all_0_14_14, all_40_0_32)) &  ! [v0] :  ! [v1] : (all_28_0_28 = all_0_17_17 |  ~ (k8_rlvect_2(all_0_16_16, all_0_14_14, v0) = v1) |  ~ v1_rmod_5(v1, all_0_19_19, all_0_16_16) |  ~ m1_subset_1(v0, all_40_0_32) |  ~ m1_subset_1(all_0_14_14, all_40_0_32))
% 9.61/2.79  |
% 9.61/2.79  | Applying alpha-rule on (118) yields:
% 9.61/2.79  | (119) u1_struct_0(all_0_16_16) = all_40_0_32
% 9.61/2.79  | (120)  ! [v0] :  ! [v1] : (all_28_0_28 = all_0_17_17 |  ~ (k8_rlvect_2(all_0_16_16, v0, all_0_14_14) = v1) |  ~ v1_rmod_5(v1, all_0_19_19, all_0_16_16) |  ~ m1_subset_1(v0, all_40_0_32) |  ~ m1_subset_1(all_0_14_14, all_40_0_32))
% 9.61/2.79  | (121)  ! [v0] :  ! [v1] : (all_28_0_28 = all_0_17_17 |  ~ (k8_rlvect_2(all_0_16_16, all_0_14_14, v0) = v1) |  ~ v1_rmod_5(v1, all_0_19_19, all_0_16_16) |  ~ m1_subset_1(v0, all_40_0_32) |  ~ m1_subset_1(all_0_14_14, all_40_0_32))
% 9.61/2.79  |
% 9.61/2.79  | Instantiating formula (73) with all_0_19_19, all_25_0_27, all_0_17_17 and discharging atoms k2_group_1(all_0_19_19) = all_25_0_27, k2_group_1(all_0_19_19) = all_0_17_17, yields:
% 9.61/2.79  | (122) all_25_0_27 = all_0_17_17
% 9.61/2.79  |
% 9.61/2.79  | Instantiating formula (70) with all_0_16_16, all_37_0_31, all_0_14_14 and discharging atoms k1_rlvect_1(all_0_16_16) = all_37_0_31, k1_rlvect_1(all_0_16_16) = all_0_14_14, yields:
% 9.61/2.79  | (123) all_37_0_31 = all_0_14_14
% 9.61/2.79  |
% 9.61/2.79  | Instantiating formula (70) with all_0_16_16, all_31_0_29, all_37_0_31 and discharging atoms k1_rlvect_1(all_0_16_16) = all_37_0_31, k1_rlvect_1(all_0_16_16) = all_31_0_29, yields:
% 9.61/2.79  | (124) all_37_0_31 = all_31_0_29
% 9.61/2.79  |
% 9.61/2.79  | Instantiating formula (70) with all_0_19_19, all_28_0_28, all_0_18_18 and discharging atoms k1_rlvect_1(all_0_19_19) = all_28_0_28, k1_rlvect_1(all_0_19_19) = all_0_18_18, yields:
% 9.61/2.79  | (125) all_28_0_28 = all_0_18_18
% 9.61/2.79  |
% 9.61/2.79  | Instantiating formula (50) with all_0_16_16, all_40_0_32, all_0_15_15 and discharging atoms u1_struct_0(all_0_16_16) = all_40_0_32, u1_struct_0(all_0_16_16) = all_0_15_15, yields:
% 9.61/2.79  | (126) all_40_0_32 = all_0_15_15
% 9.61/2.79  |
% 9.61/2.79  | Instantiating formula (50) with all_0_16_16, all_34_0_30, all_40_0_32 and discharging atoms u1_struct_0(all_0_16_16) = all_40_0_32, u1_struct_0(all_0_16_16) = all_34_0_30, yields:
% 9.61/2.79  | (127) all_40_0_32 = all_34_0_30
% 9.61/2.80  |
% 9.61/2.80  | Combining equations (126,127) yields a new equation:
% 9.61/2.80  | (128) all_34_0_30 = all_0_15_15
% 9.61/2.80  |
% 9.61/2.80  | Combining equations (124,123) yields a new equation:
% 9.61/2.80  | (129) all_31_0_29 = all_0_14_14
% 9.61/2.80  |
% 9.61/2.80  | Simplifying 129 yields:
% 9.61/2.80  | (130) all_31_0_29 = all_0_14_14
% 9.61/2.80  |
% 9.61/2.80  | Combining equations (128,127) yields a new equation:
% 9.61/2.80  | (126) all_40_0_32 = all_0_15_15
% 9.61/2.80  |
% 9.61/2.80  | From (130) and (107) follows:
% 9.68/2.80  | (33) k1_rlvect_1(all_0_16_16) = all_0_14_14
% 9.68/2.80  |
% 9.68/2.80  | From (128) and (111) follows:
% 9.68/2.80  | (67) u1_struct_0(all_0_16_16) = all_0_15_15
% 9.68/2.80  |
% 9.68/2.80  | Instantiating formula (52) with all_0_19_19 and discharging atoms l1_rlvect_1(all_0_19_19), yields:
% 9.68/2.80  | (134) l2_struct_0(all_0_19_19)
% 9.68/2.80  |
% 9.68/2.80  | Instantiating formula (46) with all_0_19_19 and discharging atoms l2_struct_0(all_0_19_19), yields:
% 9.68/2.80  | (135) l1_struct_0(all_0_19_19)
% 9.68/2.80  |
% 9.68/2.80  | Instantiating formula (53) with all_0_16_16, all_0_19_19 and discharging atoms l1_struct_0(all_0_19_19), l1_vectsp_2(all_0_16_16, all_0_19_19), yields:
% 9.68/2.80  | (136) l1_rlvect_1(all_0_16_16)
% 9.68/2.80  |
% 9.68/2.80  | Instantiating formula (52) with all_0_16_16 and discharging atoms l1_rlvect_1(all_0_16_16), yields:
% 9.68/2.80  | (137) l2_struct_0(all_0_16_16)
% 9.68/2.80  |
% 9.68/2.80  +-Applying beta-rule and splitting (76), into two cases.
% 9.68/2.80  |-Branch one:
% 9.68/2.80  | (138) v1_rmod_5(all_0_11_11, all_0_19_19, all_0_16_16)
% 9.68/2.80  |
% 9.68/2.80  	| Instantiating formula (42) with all_0_14_14, all_0_16_16 and discharging atoms k1_rlvect_1(all_0_16_16) = all_0_14_14, l2_struct_0(all_0_16_16), yields:
% 9.68/2.80  	| (139)  ? [v0] : (u1_struct_0(all_0_16_16) = v0 & m1_subset_1(all_0_14_14, v0))
% 9.68/2.80  	|
% 9.68/2.80  	| Instantiating (139) with all_181_0_104 yields:
% 9.68/2.80  	| (140) u1_struct_0(all_0_16_16) = all_181_0_104 & m1_subset_1(all_0_14_14, all_181_0_104)
% 9.68/2.80  	|
% 9.68/2.80  	| Applying alpha-rule on (140) yields:
% 9.68/2.80  	| (141) u1_struct_0(all_0_16_16) = all_181_0_104
% 9.68/2.80  	| (142) m1_subset_1(all_0_14_14, all_181_0_104)
% 9.68/2.80  	|
% 9.68/2.80  	| Instantiating formula (50) with all_0_16_16, all_181_0_104, all_0_15_15 and discharging atoms u1_struct_0(all_0_16_16) = all_181_0_104, u1_struct_0(all_0_16_16) = all_0_15_15, yields:
% 9.68/2.80  	| (143) all_181_0_104 = all_0_15_15
% 9.68/2.80  	|
% 9.68/2.80  	| From (143) and (142) follows:
% 9.68/2.80  	| (144) m1_subset_1(all_0_14_14, all_0_15_15)
% 9.68/2.80  	|
% 9.68/2.80  	| Instantiating formula (121) with all_0_11_11, all_0_13_13 and discharging atoms k8_rlvect_2(all_0_16_16, all_0_14_14, all_0_13_13) = all_0_11_11, v1_rmod_5(all_0_11_11, all_0_19_19, all_0_16_16), yields:
% 9.68/2.80  	| (145) all_28_0_28 = all_0_17_17 |  ~ m1_subset_1(all_0_13_13, all_40_0_32) |  ~ m1_subset_1(all_0_14_14, all_40_0_32)
% 9.68/2.80  	|
% 9.68/2.80  	| Instantiating formula (113) with all_0_11_11, all_0_13_13 and discharging atoms k8_rlvect_2(all_0_16_16, all_0_14_14, all_0_13_13) = all_0_11_11, v1_rmod_5(all_0_11_11, all_0_19_19, all_0_16_16), yields:
% 9.68/2.80  	| (146) all_25_0_27 = all_0_18_18 |  ~ m1_subset_1(all_0_13_13, all_34_0_30) |  ~ m1_subset_1(all_0_14_14, all_34_0_30)
% 9.68/2.80  	|
% 9.68/2.80  	+-Applying beta-rule and splitting (146), into two cases.
% 9.68/2.80  	|-Branch one:
% 9.68/2.80  	| (147)  ~ m1_subset_1(all_0_13_13, all_34_0_30)
% 9.68/2.80  	|
% 9.68/2.80  		| From (128) and (147) follows:
% 9.68/2.80  		| (148)  ~ m1_subset_1(all_0_13_13, all_0_15_15)
% 9.68/2.80  		|
% 9.68/2.80  		| Using (40) and (148) yields:
% 9.68/2.80  		| (149) $false
% 9.68/2.80  		|
% 9.68/2.80  		|-The branch is then unsatisfiable
% 9.68/2.80  	|-Branch two:
% 9.68/2.80  	| (150) m1_subset_1(all_0_13_13, all_34_0_30)
% 9.68/2.80  	| (151) all_25_0_27 = all_0_18_18 |  ~ m1_subset_1(all_0_14_14, all_34_0_30)
% 9.68/2.80  	|
% 9.68/2.80  		| From (128) and (150) follows:
% 9.68/2.80  		| (40) m1_subset_1(all_0_13_13, all_0_15_15)
% 9.68/2.80  		|
% 9.68/2.80  		+-Applying beta-rule and splitting (145), into two cases.
% 9.68/2.80  		|-Branch one:
% 9.68/2.80  		| (153)  ~ m1_subset_1(all_0_13_13, all_40_0_32)
% 9.68/2.80  		|
% 9.68/2.80  			| From (126) and (153) follows:
% 9.68/2.80  			| (148)  ~ m1_subset_1(all_0_13_13, all_0_15_15)
% 9.68/2.80  			|
% 9.68/2.80  			| Using (40) and (148) yields:
% 9.68/2.80  			| (149) $false
% 9.68/2.80  			|
% 9.68/2.80  			|-The branch is then unsatisfiable
% 9.68/2.80  		|-Branch two:
% 9.68/2.80  		| (156) m1_subset_1(all_0_13_13, all_40_0_32)
% 9.68/2.80  		| (157) all_28_0_28 = all_0_17_17 |  ~ m1_subset_1(all_0_14_14, all_40_0_32)
% 9.68/2.80  		|
% 9.68/2.80  			+-Applying beta-rule and splitting (157), into two cases.
% 9.68/2.80  			|-Branch one:
% 9.68/2.80  			| (158)  ~ m1_subset_1(all_0_14_14, all_40_0_32)
% 9.68/2.80  			|
% 9.68/2.80  				| From (126) and (158) follows:
% 9.68/2.80  				| (159)  ~ m1_subset_1(all_0_14_14, all_0_15_15)
% 9.68/2.80  				|
% 9.68/2.80  				| Using (144) and (159) yields:
% 9.68/2.80  				| (149) $false
% 9.68/2.80  				|
% 9.68/2.80  				|-The branch is then unsatisfiable
% 9.68/2.80  			|-Branch two:
% 9.68/2.80  			| (161) m1_subset_1(all_0_14_14, all_40_0_32)
% 9.68/2.80  			| (162) all_28_0_28 = all_0_17_17
% 9.68/2.80  			|
% 9.68/2.80  				| Combining equations (125,162) yields a new equation:
% 9.68/2.80  				| (163) all_0_17_17 = all_0_18_18
% 9.68/2.80  				|
% 9.68/2.80  				| Equations (163) can reduce 69 to:
% 9.68/2.80  				| (164) $false
% 9.68/2.80  				|
% 9.68/2.80  				|-The branch is then unsatisfiable
% 9.68/2.80  |-Branch two:
% 9.68/2.80  | (165)  ~ v1_rmod_5(all_0_11_11, all_0_19_19, all_0_16_16)
% 9.68/2.80  | (166) v1_rmod_5(all_0_12_12, all_0_19_19, all_0_16_16)
% 9.68/2.80  |
% 9.68/2.80  	| Instantiating formula (42) with all_0_14_14, all_0_16_16 and discharging atoms k1_rlvect_1(all_0_16_16) = all_0_14_14, l2_struct_0(all_0_16_16), yields:
% 9.68/2.80  	| (139)  ? [v0] : (u1_struct_0(all_0_16_16) = v0 & m1_subset_1(all_0_14_14, v0))
% 9.68/2.80  	|
% 9.68/2.80  	| Instantiating (139) with all_181_0_174 yields:
% 9.68/2.80  	| (168) u1_struct_0(all_0_16_16) = all_181_0_174 & m1_subset_1(all_0_14_14, all_181_0_174)
% 9.68/2.80  	|
% 9.68/2.80  	| Applying alpha-rule on (168) yields:
% 9.68/2.80  	| (169) u1_struct_0(all_0_16_16) = all_181_0_174
% 9.68/2.80  	| (170) m1_subset_1(all_0_14_14, all_181_0_174)
% 9.68/2.80  	|
% 9.68/2.80  	| Instantiating formula (50) with all_0_16_16, all_181_0_174, all_0_15_15 and discharging atoms u1_struct_0(all_0_16_16) = all_181_0_174, u1_struct_0(all_0_16_16) = all_0_15_15, yields:
% 9.68/2.80  	| (171) all_181_0_174 = all_0_15_15
% 9.68/2.80  	|
% 9.68/2.80  	| From (171) and (170) follows:
% 9.68/2.80  	| (144) m1_subset_1(all_0_14_14, all_0_15_15)
% 9.68/2.80  	|
% 9.68/2.80  	| Instantiating formula (112) with all_0_12_12, all_0_13_13 and discharging atoms k8_rlvect_2(all_0_16_16, all_0_13_13, all_0_14_14) = all_0_12_12, v1_rmod_5(all_0_12_12, all_0_19_19, all_0_16_16), yields:
% 9.68/2.80  	| (146) all_25_0_27 = all_0_18_18 |  ~ m1_subset_1(all_0_13_13, all_34_0_30) |  ~ m1_subset_1(all_0_14_14, all_34_0_30)
% 9.68/2.80  	|
% 9.68/2.80  	+-Applying beta-rule and splitting (146), into two cases.
% 9.68/2.80  	|-Branch one:
% 9.68/2.80  	| (147)  ~ m1_subset_1(all_0_13_13, all_34_0_30)
% 9.68/2.80  	|
% 9.68/2.80  		| From (128) and (147) follows:
% 9.68/2.80  		| (148)  ~ m1_subset_1(all_0_13_13, all_0_15_15)
% 9.68/2.81  		|
% 9.68/2.81  		| Using (40) and (148) yields:
% 9.68/2.81  		| (149) $false
% 9.68/2.81  		|
% 9.68/2.81  		|-The branch is then unsatisfiable
% 9.68/2.81  	|-Branch two:
% 9.68/2.81  	| (150) m1_subset_1(all_0_13_13, all_34_0_30)
% 9.68/2.81  	| (151) all_25_0_27 = all_0_18_18 |  ~ m1_subset_1(all_0_14_14, all_34_0_30)
% 9.68/2.81  	|
% 9.68/2.81  		+-Applying beta-rule and splitting (151), into two cases.
% 9.68/2.81  		|-Branch one:
% 9.68/2.81  		| (179)  ~ m1_subset_1(all_0_14_14, all_34_0_30)
% 9.68/2.81  		|
% 9.68/2.81  			| From (128) and (179) follows:
% 9.68/2.81  			| (159)  ~ m1_subset_1(all_0_14_14, all_0_15_15)
% 9.68/2.81  			|
% 9.68/2.81  			| Using (144) and (159) yields:
% 9.68/2.81  			| (149) $false
% 9.68/2.81  			|
% 9.68/2.81  			|-The branch is then unsatisfiable
% 9.68/2.81  		|-Branch two:
% 9.68/2.81  		| (182) m1_subset_1(all_0_14_14, all_34_0_30)
% 9.68/2.81  		| (183) all_25_0_27 = all_0_18_18
% 9.68/2.81  		|
% 9.68/2.81  			| Combining equations (183,122) yields a new equation:
% 9.68/2.81  			| (163) all_0_17_17 = all_0_18_18
% 9.68/2.81  			|
% 9.68/2.81  			| Equations (163) can reduce 69 to:
% 9.68/2.81  			| (164) $false
% 9.68/2.81  			|
% 9.68/2.81  			|-The branch is then unsatisfiable
% 9.68/2.81  % SZS output end Proof for theBenchmark
% 9.68/2.81  
% 9.68/2.81  2202ms
%------------------------------------------------------------------------------