%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : SEU435+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n013.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 : Tue Jul 19 08:50:00 EDT 2022

% Result   : Theorem 3.24s 1.44s
% Output   : Proof 5.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEU435+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12  % Command  : ePrincess-casc -timeout=%d %s
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun 19 21:41:44 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.58          ____       _                          
% 0.19/0.58    ___  / __ \_____(_)___  ________  __________
% 0.19/0.58   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.58  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.19/0.58  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.19/0.58  
% 0.19/0.58  A Theorem Prover for First-Order Logic
% 0.19/0.58  (ePrincess v.1.0)
% 0.19/0.58  
% 0.19/0.58  (c) Philipp Rümmer, 2009-2015
% 0.19/0.58  (c) Peter Backeman, 2014-2015
% 0.19/0.58  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.58  Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.58  Bug reports to peter@backeman.se
% 0.19/0.58  
% 0.19/0.58  For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.58  
% 0.19/0.59  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.76/0.63  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.69/0.97  Prover 0: Preprocessing ...
% 2.67/1.27  Prover 0: Warning: ignoring some quantifiers
% 2.67/1.29  Prover 0: Constructing countermodel ...
% 3.24/1.44  Prover 0: proved (804ms)
% 3.24/1.44  
% 3.24/1.44  No countermodel exists, formula is valid
% 3.24/1.44  % SZS status Theorem for theBenchmark
% 3.24/1.44  
% 3.24/1.44  Generating proof ... Warning: ignoring some quantifiers
% 5.31/1.84  found it (size 36)
% 5.31/1.84  
% 5.31/1.84  % SZS output start Proof for theBenchmark
% 5.31/1.84  Assumed formulas after preprocessing and simplification: 
% 5.31/1.84  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] : (a_6_0_relset_2(v0, v1, v2, v6, v7, v8) = v10 & k2_zfmisc_1(v0, v1) = v3 & k1_zfmisc_1(v11) = v12 & k1_zfmisc_1(v7) = v11 & k1_zfmisc_1(v6) = v9 & k1_zfmisc_1(v4) = v5 & k1_zfmisc_1(v3) = v4 & v3_relat_1(v13) & v3_relat_1(k1_xboole_0) & v1_relat_1(v15) & v1_relat_1(v14) & v1_relat_1(v13) & v1_relat_1(k1_xboole_0) & v1_xboole_0(v15) & v1_xboole_0(k1_xboole_0) & m1_subset_1(v8, v9) & m1_subset_1(v2, v5) &  ~ v1_xboole_0(v14) &  ~ m1_subset_1(v10, v12) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : (v17 = v16 |  ~ (a_6_0_relset_2(v23, v22, v21, v20, v19, v18) = v17) |  ~ (a_6_0_relset_2(v23, v22, v21, v20, v19, v18) = v16)) &  ? [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] : ( ~ (a_6_0_relset_2(v17, v18, v19, v20, v21, v22) = v23) |  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] :  ? [v31] : (k2_zfmisc_1(v20, v21) = v28 & k2_zfmisc_1(v17, v18) = v24 & k1_zfmisc_1(v28) = v29 & k1_zfmisc_1(v25) = v26 & k1_zfmisc_1(v24) = v25 & k1_zfmisc_1(v20) = v27 & ( ~ m1_subset_1(v22, v27) |  ~ m1_subset_1(v19, v26) | (( ~ r2_hidden(v16, v23) | (v31 = v16 & k8_relset_2(v20, v21, v22, v30) = v16 & r2_hidden(v30, v19) & m1_subset_1(v30, v29))) & (r2_hidden(v16, v23) |  ! [v32] : ( ~ (k8_relset_2(v20, v21, v22, v32) = v16) |  ~ r2_hidden(v32, v19) |  ~ m1_subset_1(v32, v29))))))) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (k9_relat_1(v18, v19) = v22) |  ~ (k2_zfmisc_1(v16, v20) = v21) |  ~ (k1_zfmisc_1(v17) = v20) |  ? [v23] :  ? [v24] : (k4_relset_2(v16, v17, v18, v19) = v24 & k1_zfmisc_1(v21) = v23 & (v24 = v22 |  ~ m1_subset_1(v18, v23)))) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] : ( ~ (a_6_0_relset_2(v16, v17, v18, v19, v20, v21) = v22) |  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] : (k2_zfmisc_1(v16, v17) = v23 & k1_zfmisc_1(v27) = v28 & k1_zfmisc_1(v24) = v25 & k1_zfmisc_1(v23) = v24 & k1_zfmisc_1(v20) = v27 & k1_zfmisc_1(v19) = v26 & ( ~ m1_subset_1(v21, v26) |  ~ m1_subset_1(v18, v25) | m1_subset_1(v22, v28)))) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] : (v17 = v16 |  ~ (k8_relset_2(v21, v20, v19, v18) = v17) |  ~ (k8_relset_2(v21, v20, v19, v18) = v16)) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] : (v17 = v16 |  ~ (k7_relset_2(v21, v20, v19, v18) = v17) |  ~ (k7_relset_2(v21, v20, v19, v18) = v16)) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] : (v17 = v16 |  ~ (k4_relset_2(v21, v20, v19, v18) = v17) |  ~ (k4_relset_2(v21, v20, v19, v18) = v16)) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] : (v17 = v16 |  ~ (k6_relset_2(v20, v19, v18) = v17) |  ~ (k6_relset_2(v20, v19, v18) = v16)) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] : ( ~ (k8_relset_2(v16, v17, v18, v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] : (k7_relset_2(v16, v17, v18, v19) = v24 & k2_zfmisc_1(v16, v17) = v22 & k1_zfmisc_1(v22) = v23 & k1_zfmisc_1(v16) = v21 & (v24 = v20 |  ~ m1_subset_1(v19, v23) |  ~ m1_subset_1(v18, v21)))) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] : ( ~ (k8_relset_2(v16, v17, v18, v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] : (k2_zfmisc_1(v16, v17) = v22 & k1_zfmisc_1(v22) = v23 & k1_zfmisc_1(v17) = v24 & k1_zfmisc_1(v16) = v21 & ( ~ m1_subset_1(v19, v23) |  ~ m1_subset_1(v18, v21) | m1_subset_1(v20, v24)))) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] : ( ~ (k5_relset_2(v17, v18) = v20) |  ~ (k2_zfmisc_1(v17, v16) = v19) |  ? [v21] :  ? [v22] : (k6_relset_2(v16, v17, v18) = v22 & k1_zfmisc_1(v19) = v21 & (v22 = v20 |  ~ m1_subset_1(v18, v21)))) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] : ( ~ (k3_pua2mss1(v18) = v20) |  ~ (k2_zfmisc_1(v16, v17) = v19) |  ? [v21] :  ? [v22] : (k1_zfmisc_1(v19) = v22 & k1_zfmisc_1(v16) = v21 & ( ~ m1_subset_1(v18, v21) | ( ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] : ( ~ (k6_relset_2(v17, v16, v23) = v24) |  ~ (k4_relset_2(v21, v17, v24, v20) = v25) |  ~ (k8_setfam_1(v17, v25) = v26) |  ~ m1_subset_1(v23, v22) | k7_relset_2(v16, v17, v18, v23) = v26) &  ! [v23] :  ! [v24] : ( ~ (k7_relset_2(v16, v17, v18, v23) = v24) |  ~ m1_subset_1(v23, v22) |  ? [v25] :  ? [v26] : (k6_relset_2(v17, v16, v23) = v25 & k4_relset_2(v21, v17, v25, v20) = v26 & k8_setfam_1(v17, v26) = v24)))))) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] : ( ~ (k7_relset_2(v16, v17, v18, v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] : (k8_relset_2(v16, v17, v18, v19) = v24 & k2_zfmisc_1(v16, v17) = v22 & k1_zfmisc_1(v22) = v23 & k1_zfmisc_1(v16) = v21 & (v24 = v20 |  ~ m1_subset_1(v19, v23) |  ~ m1_subset_1(v18, v21)))) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] : ( ~ (k4_relset_2(v16, v17, v18, v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] : (k9_relat_1(v18, v19) = v24 & k2_zfmisc_1(v16, v21) = v22 & k1_zfmisc_1(v22) = v23 & k1_zfmisc_1(v17) = v21 & (v24 = v20 |  ~ m1_subset_1(v18, v23)))) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] : ( ~ (k4_relset_2(v16, v17, v18, v19) = v20) |  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] : (k2_zfmisc_1(v16, v21) = v22 & k1_zfmisc_1(v22) = v23 & k1_zfmisc_1(v21) = v24 & k1_zfmisc_1(v17) = v21 & ( ~ m1_subset_1(v18, v23) | m1_subset_1(v20, v24)))) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : (v17 = v16 |  ~ (k9_relat_1(v19, v18) = v17) |  ~ (k9_relat_1(v19, v18) = v16)) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : (v17 = v16 |  ~ (k5_relset_2(v19, v18) = v17) |  ~ (k5_relset_2(v19, v18) = v16)) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : (v17 = v16 |  ~ (k8_setfam_1(v19, v18) = v17) |  ~ (k8_setfam_1(v19, v18) = v16)) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : (v17 = v16 |  ~ (k2_zfmisc_1(v19, v18) = v17) |  ~ (k2_zfmisc_1(v19, v18) = v16)) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : ( ~ (k6_relset_2(v16, v17, v18) = v19) |  ? [v20] :  ? [v21] :  ? [v22] :  ? [v23] : (k2_zfmisc_1(v17, v16) = v20 & k1_zfmisc_1(v20) = v21 & k1_zfmisc_1(v17) = v22 & k1_zfmisc_1(v16) = v23 & ( ~ m1_subset_1(v18, v21) | (m2_relset_1(v19, v22, v23) & v1_funct_2(v19, v22, v23) & v1_funct_1(v19))))) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : ( ~ (k6_relset_2(v16, v17, v18) = v19) |  ? [v20] :  ? [v21] :  ? [v22] : (k5_relset_2(v17, v18) = v22 & k2_zfmisc_1(v17, v16) = v20 & k1_zfmisc_1(v20) = v21 & (v22 = v19 |  ~ m1_subset_1(v18, v21)))) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : ( ~ (k2_zfmisc_1(v16, v17) = v19) |  ~ m2_relset_1(v18, v16, v17) |  ? [v20] : (k1_zfmisc_1(v19) = v20 & m1_subset_1(v18, v20))) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : ( ~ (k1_zfmisc_1(v18) = v19) |  ~ v1_xboole_0(v18) |  ~ r2_hidden(v16, v17) |  ~ m1_subset_1(v17, v19)) &  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : ( ~ (k1_zfmisc_1(v18) = v19) |  ~ r2_hidden(v16, v17) |  ~ m1_subset_1(v17, v19) | m1_subset_1(v16, v18)) &  ? [v16] :  ! [v17] :  ! [v18] :  ! [v19] : ( ~ (k2_zfmisc_1(v17, v18) = v19) | v1_relat_1(v16) |  ? [v20] : (k1_zfmisc_1(v19) = v20 &  ~ m1_subset_1(v16, v20))) &  ! [v16] :  ! [v17] :  ! [v18] : (v17 = v16 |  ~ (k3_pua2mss1(v18) = v17) |  ~ (k3_pua2mss1(v18) = v16)) &  ! [v16] :  ! [v17] :  ! [v18] : (v17 = v16 |  ~ (k1_zfmisc_1(v18) = v17) |  ~ (k1_zfmisc_1(v18) = v16)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k5_relset_2(v16, v17) = v18) |  ~ v1_relat_1(v17) | v1_funct_1(v18)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k5_relset_2(v16, v17) = v18) |  ~ v1_relat_1(v17) | v1_relat_1(v18)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k8_setfam_1(v16, v17) = v18) |  ? [v19] :  ? [v20] : (k1_zfmisc_1(v19) = v20 & k1_zfmisc_1(v16) = v19 & ( ~ m1_subset_1(v17, v20) | m1_subset_1(v18, v19)))) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k2_zfmisc_1(v16, v17) = v18) |  ~ v1_xboole_0(v18) | v1_xboole_0(v17) | v1_xboole_0(v16)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k2_zfmisc_1(v16, v17) = v18) | v1_relat_1(v18)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k1_zfmisc_1(v17) = v18) |  ~ r1_tarski(v16, v17) | m1_subset_1(v16, v18)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k1_zfmisc_1(v17) = v18) |  ~ m1_subset_1(v16, v18) | r1_tarski(v16, v17)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (k1_zfmisc_1(v16) = v18) |  ~ m1_eqrel_1(v17, v16) |  ? [v19] : (k1_zfmisc_1(v18) = v19 & m1_subset_1(v17, v19))) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ m1_relset_1(v18, v16, v17) | m2_relset_1(v18, v16, v17)) &  ! [v16] :  ! [v17] :  ! [v18] : ( ~ m2_relset_1(v18, v16, v17) | m1_relset_1(v18, v16, v17)) &  ! [v16] :  ! [v17] : (v17 = v16 |  ~ v1_xboole_0(v17) |  ~ v1_xboole_0(v16)) &  ! [v16] :  ! [v17] : ( ~ (k3_pua2mss1(v16) = v17) | m1_eqrel_1(v17, v16)) &  ! [v16] :  ! [v17] : ( ~ (k1_zfmisc_1(v16) = v17) |  ~ v1_xboole_0(v17)) &  ! [v16] :  ! [v17] : ( ~ (k1_zfmisc_1(v16) = v17) | v1_xboole_0(v16) |  ? [v18] : (m1_subset_1(v18, v17) &  ~ v1_xboole_0(v18))) &  ! [v16] :  ! [v17] : ( ~ (k1_zfmisc_1(v16) = v17) |  ? [v18] : (v1_xboole_0(v18) & m1_subset_1(v18, v17))) &  ! [v16] :  ! [v17] : ( ~ v1_xboole_0(v17) |  ~ r2_hidden(v16, v17)) &  ! [v16] :  ! [v17] : ( ~ r2_hidden(v17, v16) |  ~ r2_hidden(v16, v17)) &  ! [v16] :  ! [v17] : ( ~ r2_hidden(v16, v17) | m1_subset_1(v16, v17)) &  ! [v16] :  ! [v17] : ( ~ m1_subset_1(v16, v17) | v1_xboole_0(v17) | r2_hidden(v16, v17)) &  ! [v16] : (v16 = k1_xboole_0 |  ~ v1_xboole_0(v16)) &  ! [v16] : ( ~ v1_xboole_0(v16) | v1_relat_1(v16)) &  ? [v16] :  ? [v17] :  ? [v18] : m1_relset_1(v18, v16, v17) &  ? [v16] :  ? [v17] :  ? [v18] : m2_relset_1(v18, v16, v17) &  ? [v16] :  ? [v17] :  ? [v18] : (m1_relset_1(v18, v16, v17) & v1_funct_1(v18) & v1_relat_1(v18)) &  ? [v16] :  ? [v17] : (v17 = v16 |  ? [v18] : (( ~ r2_hidden(v18, v17) |  ~ r2_hidden(v18, v16)) & (r2_hidden(v18, v17) | r2_hidden(v18, v16)))) &  ? [v16] :  ? [v17] : m1_eqrel_1(v17, v16) &  ? [v16] :  ? [v17] : m1_subset_1(v17, v16) &  ? [v16] : r1_tarski(v16, v16))
% 5.31/1.89  | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15 yields:
% 5.31/1.89  | (1) a_6_0_relset_2(all_0_15_15, all_0_14_14, all_0_13_13, all_0_9_9, all_0_8_8, all_0_7_7) = all_0_5_5 & k2_zfmisc_1(all_0_15_15, all_0_14_14) = all_0_12_12 & k1_zfmisc_1(all_0_4_4) = all_0_3_3 & k1_zfmisc_1(all_0_8_8) = all_0_4_4 & k1_zfmisc_1(all_0_9_9) = all_0_6_6 & k1_zfmisc_1(all_0_11_11) = all_0_10_10 & k1_zfmisc_1(all_0_12_12) = all_0_11_11 & v3_relat_1(all_0_2_2) & v3_relat_1(k1_xboole_0) & v1_relat_1(all_0_0_0) & v1_relat_1(all_0_1_1) & v1_relat_1(all_0_2_2) & v1_relat_1(k1_xboole_0) & v1_xboole_0(all_0_0_0) & v1_xboole_0(k1_xboole_0) & m1_subset_1(all_0_7_7, all_0_6_6) & m1_subset_1(all_0_13_13, all_0_10_10) &  ~ v1_xboole_0(all_0_1_1) &  ~ m1_subset_1(all_0_5_5, all_0_3_3) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v1 = v0 |  ~ (a_6_0_relset_2(v7, v6, v5, v4, v3, v2) = v1) |  ~ (a_6_0_relset_2(v7, v6, v5, v4, v3, v2) = v0)) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (a_6_0_relset_2(v1, v2, v3, v4, v5, v6) = v7) |  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] : (k2_zfmisc_1(v4, v5) = v12 & k2_zfmisc_1(v1, v2) = v8 & k1_zfmisc_1(v12) = v13 & k1_zfmisc_1(v9) = v10 & k1_zfmisc_1(v8) = v9 & k1_zfmisc_1(v4) = v11 & ( ~ m1_subset_1(v6, v11) |  ~ m1_subset_1(v3, v10) | (( ~ r2_hidden(v0, v7) | (v15 = v0 & k8_relset_2(v4, v5, v6, v14) = v0 & r2_hidden(v14, v3) & m1_subset_1(v14, v13))) & (r2_hidden(v0, v7) |  ! [v16] : ( ~ (k8_relset_2(v4, v5, v6, v16) = v0) |  ~ r2_hidden(v16, v3) |  ~ m1_subset_1(v16, v13))))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (k9_relat_1(v2, v3) = v6) |  ~ (k2_zfmisc_1(v0, v4) = v5) |  ~ (k1_zfmisc_1(v1) = v4) |  ? [v7] :  ? [v8] : (k4_relset_2(v0, v1, v2, v3) = v8 & k1_zfmisc_1(v5) = v7 & (v8 = v6 |  ~ m1_subset_1(v2, v7)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (a_6_0_relset_2(v0, v1, v2, v3, v4, v5) = v6) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : (k2_zfmisc_1(v0, v1) = v7 & k1_zfmisc_1(v11) = v12 & k1_zfmisc_1(v8) = v9 & k1_zfmisc_1(v7) = v8 & k1_zfmisc_1(v4) = v11 & k1_zfmisc_1(v3) = v10 & ( ~ m1_subset_1(v5, v10) |  ~ m1_subset_1(v2, v9) | m1_subset_1(v6, v12)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v1 = v0 |  ~ (k8_relset_2(v5, v4, v3, v2) = v1) |  ~ (k8_relset_2(v5, v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v1 = v0 |  ~ (k7_relset_2(v5, v4, v3, v2) = v1) |  ~ (k7_relset_2(v5, v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v1 = v0 |  ~ (k4_relset_2(v5, v4, v3, v2) = v1) |  ~ (k4_relset_2(v5, v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (k6_relset_2(v4, v3, v2) = v1) |  ~ (k6_relset_2(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (k8_relset_2(v0, v1, v2, v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (k7_relset_2(v0, v1, v2, v3) = v8 & k2_zfmisc_1(v0, v1) = v6 & k1_zfmisc_1(v6) = v7 & k1_zfmisc_1(v0) = v5 & (v8 = v4 |  ~ m1_subset_1(v3, v7) |  ~ m1_subset_1(v2, v5)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (k8_relset_2(v0, v1, v2, v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (k2_zfmisc_1(v0, v1) = v6 & k1_zfmisc_1(v6) = v7 & k1_zfmisc_1(v1) = v8 & k1_zfmisc_1(v0) = v5 & ( ~ m1_subset_1(v3, v7) |  ~ m1_subset_1(v2, v5) | m1_subset_1(v4, v8)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (k5_relset_2(v1, v2) = v4) |  ~ (k2_zfmisc_1(v1, v0) = v3) |  ? [v5] :  ? [v6] : (k6_relset_2(v0, v1, v2) = v6 & k1_zfmisc_1(v3) = v5 & (v6 = v4 |  ~ m1_subset_1(v2, v5)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (k3_pua2mss1(v2) = v4) |  ~ (k2_zfmisc_1(v0, v1) = v3) |  ? [v5] :  ? [v6] : (k1_zfmisc_1(v3) = v6 & k1_zfmisc_1(v0) = v5 & ( ~ m1_subset_1(v2, v5) | ( ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (k6_relset_2(v1, v0, v7) = v8) |  ~ (k4_relset_2(v5, v1, v8, v4) = v9) |  ~ (k8_setfam_1(v1, v9) = v10) |  ~ m1_subset_1(v7, v6) | k7_relset_2(v0, v1, v2, v7) = v10) &  ! [v7] :  ! [v8] : ( ~ (k7_relset_2(v0, v1, v2, v7) = v8) |  ~ m1_subset_1(v7, v6) |  ? [v9] :  ? [v10] : (k6_relset_2(v1, v0, v7) = v9 & k4_relset_2(v5, v1, v9, v4) = v10 & k8_setfam_1(v1, v10) = v8)))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (k7_relset_2(v0, v1, v2, v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (k8_relset_2(v0, v1, v2, v3) = v8 & k2_zfmisc_1(v0, v1) = v6 & k1_zfmisc_1(v6) = v7 & k1_zfmisc_1(v0) = v5 & (v8 = v4 |  ~ m1_subset_1(v3, v7) |  ~ m1_subset_1(v2, v5)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (k4_relset_2(v0, v1, v2, v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (k9_relat_1(v2, v3) = v8 & k2_zfmisc_1(v0, v5) = v6 & k1_zfmisc_1(v6) = v7 & k1_zfmisc_1(v1) = v5 & (v8 = v4 |  ~ m1_subset_1(v2, v7)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (k4_relset_2(v0, v1, v2, v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (k2_zfmisc_1(v0, v5) = v6 & k1_zfmisc_1(v6) = v7 & k1_zfmisc_1(v5) = v8 & k1_zfmisc_1(v1) = v5 & ( ~ m1_subset_1(v2, v7) | m1_subset_1(v4, v8)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k9_relat_1(v3, v2) = v1) |  ~ (k9_relat_1(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k5_relset_2(v3, v2) = v1) |  ~ (k5_relset_2(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k8_setfam_1(v3, v2) = v1) |  ~ (k8_setfam_1(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k2_zfmisc_1(v3, v2) = v1) |  ~ (k2_zfmisc_1(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k6_relset_2(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (k2_zfmisc_1(v1, v0) = v4 & k1_zfmisc_1(v4) = v5 & k1_zfmisc_1(v1) = v6 & k1_zfmisc_1(v0) = v7 & ( ~ m1_subset_1(v2, v5) | (m2_relset_1(v3, v6, v7) & v1_funct_2(v3, v6, v7) & v1_funct_1(v3))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k6_relset_2(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] : (k5_relset_2(v1, v2) = v6 & k2_zfmisc_1(v1, v0) = v4 & k1_zfmisc_1(v4) = v5 & (v6 = v3 |  ~ m1_subset_1(v2, v5)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k2_zfmisc_1(v0, v1) = v3) |  ~ m2_relset_1(v2, v0, v1) |  ? [v4] : (k1_zfmisc_1(v3) = v4 & m1_subset_1(v2, v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) |  ~ v1_xboole_0(v2) |  ~ r2_hidden(v0, v1) |  ~ m1_subset_1(v1, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) |  ~ r2_hidden(v0, v1) |  ~ m1_subset_1(v1, v3) | m1_subset_1(v0, v2)) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k2_zfmisc_1(v1, v2) = v3) | v1_relat_1(v0) |  ? [v4] : (k1_zfmisc_1(v3) = v4 &  ~ m1_subset_1(v0, v4))) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k3_pua2mss1(v2) = v1) |  ~ (k3_pua2mss1(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k1_zfmisc_1(v2) = v1) |  ~ (k1_zfmisc_1(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k5_relset_2(v0, v1) = v2) |  ~ v1_relat_1(v1) | v1_funct_1(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k5_relset_2(v0, v1) = v2) |  ~ v1_relat_1(v1) | v1_relat_1(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k8_setfam_1(v0, v1) = v2) |  ? [v3] :  ? [v4] : (k1_zfmisc_1(v3) = v4 & k1_zfmisc_1(v0) = v3 & ( ~ m1_subset_1(v1, v4) | m1_subset_1(v2, v3)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_zfmisc_1(v0, v1) = v2) |  ~ v1_xboole_0(v2) | v1_xboole_0(v1) | v1_xboole_0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_zfmisc_1(v0, v1) = v2) | v1_relat_1(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) |  ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) |  ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v2) |  ~ m1_eqrel_1(v1, v0) |  ? [v3] : (k1_zfmisc_1(v2) = v3 & m1_subset_1(v1, v3))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ v1_xboole_0(v1) |  ~ v1_xboole_0(v0)) &  ! [v0] :  ! [v1] : ( ~ (k3_pua2mss1(v0) = v1) | m1_eqrel_1(v1, 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] : ( ~ 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) | v1_relat_1(v0)) &  ? [v0] :  ? [v1] :  ? [v2] : m1_relset_1(v2, v0, v1) &  ? [v0] :  ? [v1] :  ? [v2] : m2_relset_1(v2, v0, v1) &  ? [v0] :  ? [v1] :  ? [v2] : (m1_relset_1(v2, v0, v1) & v1_funct_1(v2) & v1_relat_1(v2)) &  ? [v0] :  ? [v1] : (v1 = v0 |  ? [v2] : (( ~ r2_hidden(v2, v1) |  ~ r2_hidden(v2, v0)) & (r2_hidden(v2, v1) | r2_hidden(v2, v0)))) &  ? [v0] :  ? [v1] : m1_eqrel_1(v1, v0) &  ? [v0] :  ? [v1] : m1_subset_1(v1, v0) &  ? [v0] : r1_tarski(v0, v0)
% 5.31/1.91  |
% 5.31/1.91  | Applying alpha-rule on (1) yields:
% 5.31/1.91  | (2) v1_relat_1(all_0_1_1)
% 5.31/1.91  | (3)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k6_relset_2(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (k2_zfmisc_1(v1, v0) = v4 & k1_zfmisc_1(v4) = v5 & k1_zfmisc_1(v1) = v6 & k1_zfmisc_1(v0) = v7 & ( ~ m1_subset_1(v2, v5) | (m2_relset_1(v3, v6, v7) & v1_funct_2(v3, v6, v7) & v1_funct_1(v3)))))
% 5.31/1.91  | (4)  ? [v0] :  ? [v1] : (v1 = v0 |  ? [v2] : (( ~ r2_hidden(v2, v1) |  ~ r2_hidden(v2, v0)) & (r2_hidden(v2, v1) | r2_hidden(v2, v0))))
% 5.31/1.91  | (5)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v1 = v0 |  ~ (a_6_0_relset_2(v7, v6, v5, v4, v3, v2) = v1) |  ~ (a_6_0_relset_2(v7, v6, v5, v4, v3, v2) = v0))
% 5.31/1.91  | (6)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k5_relset_2(v3, v2) = v1) |  ~ (k5_relset_2(v3, v2) = v0))
% 5.31/1.91  | (7)  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) |  ~ v1_xboole_0(v1))
% 5.31/1.91  | (8) m1_subset_1(all_0_13_13, all_0_10_10)
% 5.31/1.91  | (9)  ? [v0] :  ? [v1] :  ? [v2] : (m1_relset_1(v2, v0, v1) & v1_funct_1(v2) & v1_relat_1(v2))
% 5.31/1.91  | (10)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (k4_relset_2(v0, v1, v2, v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (k9_relat_1(v2, v3) = v8 & k2_zfmisc_1(v0, v5) = v6 & k1_zfmisc_1(v6) = v7 & k1_zfmisc_1(v1) = v5 & (v8 = v4 |  ~ m1_subset_1(v2, v7))))
% 5.31/1.91  | (11)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) |  ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1))
% 5.31/1.91  | (12)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) |  ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2))
% 5.31/1.91  | (13)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (a_6_0_relset_2(v1, v2, v3, v4, v5, v6) = v7) |  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] : (k2_zfmisc_1(v4, v5) = v12 & k2_zfmisc_1(v1, v2) = v8 & k1_zfmisc_1(v12) = v13 & k1_zfmisc_1(v9) = v10 & k1_zfmisc_1(v8) = v9 & k1_zfmisc_1(v4) = v11 & ( ~ m1_subset_1(v6, v11) |  ~ m1_subset_1(v3, v10) | (( ~ r2_hidden(v0, v7) | (v15 = v0 & k8_relset_2(v4, v5, v6, v14) = v0 & r2_hidden(v14, v3) & m1_subset_1(v14, v13))) & (r2_hidden(v0, v7) |  ! [v16] : ( ~ (k8_relset_2(v4, v5, v6, v16) = v0) |  ~ r2_hidden(v16, v3) |  ~ m1_subset_1(v16, v13)))))))
% 5.72/1.92  | (14)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (k8_relset_2(v0, v1, v2, v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (k7_relset_2(v0, v1, v2, v3) = v8 & k2_zfmisc_1(v0, v1) = v6 & k1_zfmisc_1(v6) = v7 & k1_zfmisc_1(v0) = v5 & (v8 = v4 |  ~ m1_subset_1(v3, v7) |  ~ m1_subset_1(v2, v5))))
% 5.72/1.92  | (15)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ v1_xboole_0(v1) |  ~ v1_xboole_0(v0))
% 5.72/1.92  | (16)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (k4_relset_2(v0, v1, v2, v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (k2_zfmisc_1(v0, v5) = v6 & k1_zfmisc_1(v6) = v7 & k1_zfmisc_1(v5) = v8 & k1_zfmisc_1(v1) = v5 & ( ~ m1_subset_1(v2, v7) | m1_subset_1(v4, v8))))
% 5.72/1.92  | (17) v3_relat_1(k1_xboole_0)
% 5.72/1.92  | (18)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k8_setfam_1(v3, v2) = v1) |  ~ (k8_setfam_1(v3, v2) = v0))
% 5.72/1.92  | (19)  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_xboole_0(v0) |  ? [v2] : (m1_subset_1(v2, v1) &  ~ v1_xboole_0(v2)))
% 5.72/1.92  | (20)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (k6_relset_2(v4, v3, v2) = v1) |  ~ (k6_relset_2(v4, v3, v2) = v0))
% 5.72/1.92  | (21)  ! [v0] :  ! [v1] : ( ~ r2_hidden(v1, v0) |  ~ r2_hidden(v0, v1))
% 5.72/1.92  | (22)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_zfmisc_1(v0, v1) = v2) |  ~ v1_xboole_0(v2) | v1_xboole_0(v1) | v1_xboole_0(v0))
% 5.72/1.92  | (23) a_6_0_relset_2(all_0_15_15, all_0_14_14, all_0_13_13, all_0_9_9, all_0_8_8, all_0_7_7) = all_0_5_5
% 5.72/1.92  | (24)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) |  ~ v1_xboole_0(v2) |  ~ r2_hidden(v0, v1) |  ~ m1_subset_1(v1, v3))
% 5.72/1.92  | (25)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k5_relset_2(v0, v1) = v2) |  ~ v1_relat_1(v1) | v1_relat_1(v2))
% 5.72/1.92  | (26)  ! [v0] :  ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1))
% 5.72/1.92  | (27)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k1_zfmisc_1(v0) = v2) |  ~ m1_eqrel_1(v1, v0) |  ? [v3] : (k1_zfmisc_1(v2) = v3 & m1_subset_1(v1, v3)))
% 5.72/1.92  | (28)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (k7_relset_2(v0, v1, v2, v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (k8_relset_2(v0, v1, v2, v3) = v8 & k2_zfmisc_1(v0, v1) = v6 & k1_zfmisc_1(v6) = v7 & k1_zfmisc_1(v0) = v5 & (v8 = v4 |  ~ m1_subset_1(v3, v7) |  ~ m1_subset_1(v2, v5))))
% 5.72/1.92  | (29)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k5_relset_2(v0, v1) = v2) |  ~ v1_relat_1(v1) | v1_funct_1(v2))
% 5.72/1.92  | (30) v1_relat_1(all_0_0_0)
% 5.72/1.92  | (31) k2_zfmisc_1(all_0_15_15, all_0_14_14) = all_0_12_12
% 5.72/1.92  | (32)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (k8_relset_2(v0, v1, v2, v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (k2_zfmisc_1(v0, v1) = v6 & k1_zfmisc_1(v6) = v7 & k1_zfmisc_1(v1) = v8 & k1_zfmisc_1(v0) = v5 & ( ~ m1_subset_1(v3, v7) |  ~ m1_subset_1(v2, v5) | m1_subset_1(v4, v8))))
% 5.72/1.92  | (33)  ? [v0] :  ? [v1] : m1_eqrel_1(v1, v0)
% 5.72/1.92  | (34)  ~ m1_subset_1(all_0_5_5, all_0_3_3)
% 5.72/1.92  | (35)  ! [v0] : ( ~ v1_xboole_0(v0) | v1_relat_1(v0))
% 5.72/1.92  | (36)  ? [v0] :  ? [v1] :  ? [v2] : m1_relset_1(v2, v0, v1)
% 5.72/1.92  | (37)  ! [v0] :  ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1))
% 5.72/1.92  | (38)  ? [v0] :  ? [v1] : m1_subset_1(v1, v0)
% 5.72/1.92  | (39) k1_zfmisc_1(all_0_4_4) = all_0_3_3
% 5.72/1.92  | (40)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k8_setfam_1(v0, v1) = v2) |  ? [v3] :  ? [v4] : (k1_zfmisc_1(v3) = v4 & k1_zfmisc_1(v0) = v3 & ( ~ m1_subset_1(v1, v4) | m1_subset_1(v2, v3))))
% 5.72/1.92  | (41)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (k3_pua2mss1(v2) = v4) |  ~ (k2_zfmisc_1(v0, v1) = v3) |  ? [v5] :  ? [v6] : (k1_zfmisc_1(v3) = v6 & k1_zfmisc_1(v0) = v5 & ( ~ m1_subset_1(v2, v5) | ( ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (k6_relset_2(v1, v0, v7) = v8) |  ~ (k4_relset_2(v5, v1, v8, v4) = v9) |  ~ (k8_setfam_1(v1, v9) = v10) |  ~ m1_subset_1(v7, v6) | k7_relset_2(v0, v1, v2, v7) = v10) &  ! [v7] :  ! [v8] : ( ~ (k7_relset_2(v0, v1, v2, v7) = v8) |  ~ m1_subset_1(v7, v6) |  ? [v9] :  ? [v10] : (k6_relset_2(v1, v0, v7) = v9 & k4_relset_2(v5, v1, v9, v4) = v10 & k8_setfam_1(v1, v10) = v8))))))
% 5.72/1.92  | (42)  ! [v0] :  ! [v1] : ( ~ (k3_pua2mss1(v0) = v1) | m1_eqrel_1(v1, v0))
% 5.72/1.92  | (43)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) |  ~ r2_hidden(v0, v1) |  ~ m1_subset_1(v1, v3) | m1_subset_1(v0, v2))
% 5.72/1.92  | (44)  ~ v1_xboole_0(all_0_1_1)
% 5.72/1.92  | (45) m1_subset_1(all_0_7_7, all_0_6_6)
% 5.72/1.92  | (46)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (a_6_0_relset_2(v0, v1, v2, v3, v4, v5) = v6) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : (k2_zfmisc_1(v0, v1) = v7 & k1_zfmisc_1(v11) = v12 & k1_zfmisc_1(v8) = v9 & k1_zfmisc_1(v7) = v8 & k1_zfmisc_1(v4) = v11 & k1_zfmisc_1(v3) = v10 & ( ~ m1_subset_1(v5, v10) |  ~ m1_subset_1(v2, v9) | m1_subset_1(v6, v12))))
% 5.72/1.92  | (47) k1_zfmisc_1(all_0_9_9) = all_0_6_6
% 5.72/1.92  | (48) k1_zfmisc_1(all_0_8_8) = all_0_4_4
% 5.72/1.92  | (49) k1_zfmisc_1(all_0_12_12) = all_0_11_11
% 5.72/1.93  | (50) v1_xboole_0(all_0_0_0)
% 5.72/1.93  | (51)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k2_zfmisc_1(v1, v2) = v3) | v1_relat_1(v0) |  ? [v4] : (k1_zfmisc_1(v3) = v4 &  ~ m1_subset_1(v0, v4)))
% 5.72/1.93  | (52) v1_relat_1(all_0_2_2)
% 5.72/1.93  | (53) v1_relat_1(k1_xboole_0)
% 5.72/1.93  | (54)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v1 = v0 |  ~ (k4_relset_2(v5, v4, v3, v2) = v1) |  ~ (k4_relset_2(v5, v4, v3, v2) = v0))
% 5.72/1.93  | (55)  ! [v0] : (v0 = k1_xboole_0 |  ~ v1_xboole_0(v0))
% 5.72/1.93  | (56) v3_relat_1(all_0_2_2)
% 5.72/1.93  | (57)  ? [v0] : r1_tarski(v0, v0)
% 5.72/1.93  | (58)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v1 = v0 |  ~ (k7_relset_2(v5, v4, v3, v2) = v1) |  ~ (k7_relset_2(v5, v4, v3, v2) = v0))
% 5.72/1.93  | (59)  ! [v0] :  ! [v1] : ( ~ v1_xboole_0(v1) |  ~ r2_hidden(v0, v1))
% 5.72/1.93  | (60)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k3_pua2mss1(v2) = v1) |  ~ (k3_pua2mss1(v2) = v0))
% 5.72/1.93  | (61)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k9_relat_1(v3, v2) = v1) |  ~ (k9_relat_1(v3, v2) = v0))
% 5.72/1.93  | (62)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v1 = v0 |  ~ (k8_relset_2(v5, v4, v3, v2) = v1) |  ~ (k8_relset_2(v5, v4, v3, v2) = v0))
% 5.72/1.93  | (63) k1_zfmisc_1(all_0_11_11) = all_0_10_10
% 5.72/1.93  | (64)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (k2_zfmisc_1(v0, v1) = v2) | v1_relat_1(v2))
% 5.72/1.93  | (65)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k6_relset_2(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] : (k5_relset_2(v1, v2) = v6 & k2_zfmisc_1(v1, v0) = v4 & k1_zfmisc_1(v4) = v5 & (v6 = v3 |  ~ m1_subset_1(v2, v5))))
% 5.72/1.93  | (66)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1))
% 5.72/1.93  | (67)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1))
% 5.72/1.93  | (68)  ! [v0] :  ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) |  ? [v2] : (v1_xboole_0(v2) & m1_subset_1(v2, v1)))
% 5.72/1.93  | (69)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (k2_zfmisc_1(v3, v2) = v1) |  ~ (k2_zfmisc_1(v3, v2) = v0))
% 5.72/1.93  | (70) v1_xboole_0(k1_xboole_0)
% 5.72/1.93  | (71)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (k5_relset_2(v1, v2) = v4) |  ~ (k2_zfmisc_1(v1, v0) = v3) |  ? [v5] :  ? [v6] : (k6_relset_2(v0, v1, v2) = v6 & k1_zfmisc_1(v3) = v5 & (v6 = v4 |  ~ m1_subset_1(v2, v5))))
% 5.72/1.93  | (72)  ? [v0] :  ? [v1] :  ? [v2] : m2_relset_1(v2, v0, v1)
% 5.72/1.93  | (73)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (k9_relat_1(v2, v3) = v6) |  ~ (k2_zfmisc_1(v0, v4) = v5) |  ~ (k1_zfmisc_1(v1) = v4) |  ? [v7] :  ? [v8] : (k4_relset_2(v0, v1, v2, v3) = v8 & k1_zfmisc_1(v5) = v7 & (v8 = v6 |  ~ m1_subset_1(v2, v7))))
% 5.72/1.93  | (74)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (k1_zfmisc_1(v2) = v1) |  ~ (k1_zfmisc_1(v2) = v0))
% 5.72/1.93  | (75)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (k2_zfmisc_1(v0, v1) = v3) |  ~ m2_relset_1(v2, v0, v1) |  ? [v4] : (k1_zfmisc_1(v3) = v4 & m1_subset_1(v2, v4)))
% 5.72/1.93  |
% 5.72/1.93  | Instantiating (13) with all_16_0_30 yields:
% 5.72/1.93  | (76)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (a_6_0_relset_2(v0, v1, v2, v3, v4, v5) = v6) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] : (k2_zfmisc_1(v3, v4) = v11 & k2_zfmisc_1(v0, v1) = v7 & k1_zfmisc_1(v11) = v12 & k1_zfmisc_1(v8) = v9 & k1_zfmisc_1(v7) = v8 & k1_zfmisc_1(v3) = v10 & ( ~ m1_subset_1(v5, v10) |  ~ m1_subset_1(v2, v9) | (( ~ r2_hidden(all_16_0_30, v6) | (v14 = all_16_0_30 & k8_relset_2(v3, v4, v5, v13) = all_16_0_30 & r2_hidden(v13, v2) & m1_subset_1(v13, v12))) & (r2_hidden(all_16_0_30, v6) |  ! [v15] : ( ~ (k8_relset_2(v3, v4, v5, v15) = all_16_0_30) |  ~ r2_hidden(v15, v2) |  ~ m1_subset_1(v15, v12)))))))
% 5.72/1.93  |
% 5.72/1.93  | Instantiating formula (76) with all_0_5_5, all_0_7_7, all_0_8_8, all_0_9_9, all_0_13_13, all_0_14_14, all_0_15_15 and discharging atoms a_6_0_relset_2(all_0_15_15, all_0_14_14, all_0_13_13, all_0_9_9, all_0_8_8, all_0_7_7) = all_0_5_5, yields:
% 5.72/1.93  | (77)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (k2_zfmisc_1(all_0_9_9, all_0_8_8) = v4 & k2_zfmisc_1(all_0_15_15, all_0_14_14) = v0 & k1_zfmisc_1(v4) = v5 & k1_zfmisc_1(v1) = v2 & k1_zfmisc_1(v0) = v1 & k1_zfmisc_1(all_0_9_9) = v3 & ( ~ m1_subset_1(all_0_7_7, v3) |  ~ m1_subset_1(all_0_13_13, v2) | (( ~ r2_hidden(all_16_0_30, all_0_5_5) | (v7 = all_16_0_30 & k8_relset_2(all_0_9_9, all_0_8_8, all_0_7_7, v6) = all_16_0_30 & r2_hidden(v6, all_0_13_13) & m1_subset_1(v6, v5))) & (r2_hidden(all_16_0_30, all_0_5_5) |  ! [v8] : ( ~ (k8_relset_2(all_0_9_9, all_0_8_8, all_0_7_7, v8) = all_16_0_30) |  ~ r2_hidden(v8, all_0_13_13) |  ~ m1_subset_1(v8, v5))))))
% 5.72/1.93  |
% 5.72/1.93  | Instantiating formula (46) with all_0_5_5, all_0_7_7, all_0_8_8, all_0_9_9, all_0_13_13, all_0_14_14, all_0_15_15 and discharging atoms a_6_0_relset_2(all_0_15_15, all_0_14_14, all_0_13_13, all_0_9_9, all_0_8_8, all_0_7_7) = all_0_5_5, yields:
% 5.72/1.93  | (78)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (k2_zfmisc_1(all_0_15_15, all_0_14_14) = v0 & k1_zfmisc_1(v4) = v5 & k1_zfmisc_1(v1) = v2 & k1_zfmisc_1(v0) = v1 & k1_zfmisc_1(all_0_8_8) = v4 & k1_zfmisc_1(all_0_9_9) = v3 & ( ~ m1_subset_1(all_0_7_7, v3) |  ~ m1_subset_1(all_0_13_13, v2) | m1_subset_1(all_0_5_5, v5)))
% 5.72/1.93  |
% 5.72/1.93  | Instantiating (77) with all_34_0_36, all_34_1_37, all_34_2_38, all_34_3_39, all_34_4_40, all_34_5_41, all_34_6_42, all_34_7_43 yields:
% 5.72/1.93  | (79) k2_zfmisc_1(all_0_9_9, all_0_8_8) = all_34_3_39 & k2_zfmisc_1(all_0_15_15, all_0_14_14) = all_34_7_43 & k1_zfmisc_1(all_34_3_39) = all_34_2_38 & k1_zfmisc_1(all_34_6_42) = all_34_5_41 & k1_zfmisc_1(all_34_7_43) = all_34_6_42 & k1_zfmisc_1(all_0_9_9) = all_34_4_40 & ( ~ m1_subset_1(all_0_7_7, all_34_4_40) |  ~ m1_subset_1(all_0_13_13, all_34_5_41) | (( ~ r2_hidden(all_16_0_30, all_0_5_5) | (all_34_0_36 = all_16_0_30 & k8_relset_2(all_0_9_9, all_0_8_8, all_0_7_7, all_34_1_37) = all_16_0_30 & r2_hidden(all_34_1_37, all_0_13_13) & m1_subset_1(all_34_1_37, all_34_2_38))) & (r2_hidden(all_16_0_30, all_0_5_5) |  ! [v0] : ( ~ (k8_relset_2(all_0_9_9, all_0_8_8, all_0_7_7, v0) = all_16_0_30) |  ~ r2_hidden(v0, all_0_13_13) |  ~ m1_subset_1(v0, all_34_2_38)))))
% 5.72/1.94  |
% 5.72/1.94  | Applying alpha-rule on (79) yields:
% 5.72/1.94  | (80) k1_zfmisc_1(all_34_7_43) = all_34_6_42
% 5.72/1.94  | (81) k1_zfmisc_1(all_34_6_42) = all_34_5_41
% 5.72/1.94  | (82) k1_zfmisc_1(all_34_3_39) = all_34_2_38
% 5.72/1.94  | (83)  ~ m1_subset_1(all_0_7_7, all_34_4_40) |  ~ m1_subset_1(all_0_13_13, all_34_5_41) | (( ~ r2_hidden(all_16_0_30, all_0_5_5) | (all_34_0_36 = all_16_0_30 & k8_relset_2(all_0_9_9, all_0_8_8, all_0_7_7, all_34_1_37) = all_16_0_30 & r2_hidden(all_34_1_37, all_0_13_13) & m1_subset_1(all_34_1_37, all_34_2_38))) & (r2_hidden(all_16_0_30, all_0_5_5) |  ! [v0] : ( ~ (k8_relset_2(all_0_9_9, all_0_8_8, all_0_7_7, v0) = all_16_0_30) |  ~ r2_hidden(v0, all_0_13_13) |  ~ m1_subset_1(v0, all_34_2_38))))
% 5.72/1.94  | (84) k1_zfmisc_1(all_0_9_9) = all_34_4_40
% 5.72/1.94  | (85) k2_zfmisc_1(all_0_15_15, all_0_14_14) = all_34_7_43
% 5.72/1.94  | (86) k2_zfmisc_1(all_0_9_9, all_0_8_8) = all_34_3_39
% 5.72/1.94  |
% 5.72/1.94  | Instantiating (78) with all_38_0_45, all_38_1_46, all_38_2_47, all_38_3_48, all_38_4_49, all_38_5_50 yields:
% 5.72/1.94  | (87) k2_zfmisc_1(all_0_15_15, all_0_14_14) = all_38_5_50 & k1_zfmisc_1(all_38_1_46) = all_38_0_45 & k1_zfmisc_1(all_38_4_49) = all_38_3_48 & k1_zfmisc_1(all_38_5_50) = all_38_4_49 & k1_zfmisc_1(all_0_8_8) = all_38_1_46 & k1_zfmisc_1(all_0_9_9) = all_38_2_47 & ( ~ m1_subset_1(all_0_7_7, all_38_2_47) |  ~ m1_subset_1(all_0_13_13, all_38_3_48) | m1_subset_1(all_0_5_5, all_38_0_45))
% 5.72/1.94  |
% 5.72/1.94  | Applying alpha-rule on (87) yields:
% 5.72/1.94  | (88) k1_zfmisc_1(all_38_5_50) = all_38_4_49
% 5.72/1.94  | (89) k1_zfmisc_1(all_0_8_8) = all_38_1_46
% 5.72/1.94  | (90) k2_zfmisc_1(all_0_15_15, all_0_14_14) = all_38_5_50
% 5.72/1.94  | (91) k1_zfmisc_1(all_38_4_49) = all_38_3_48
% 5.72/1.94  | (92)  ~ m1_subset_1(all_0_7_7, all_38_2_47) |  ~ m1_subset_1(all_0_13_13, all_38_3_48) | m1_subset_1(all_0_5_5, all_38_0_45)
% 5.72/1.94  | (93) k1_zfmisc_1(all_0_9_9) = all_38_2_47
% 5.72/1.94  | (94) k1_zfmisc_1(all_38_1_46) = all_38_0_45
% 5.72/1.94  |
% 5.72/1.94  | Instantiating formula (69) with all_0_15_15, all_0_14_14, all_38_5_50, all_0_12_12 and discharging atoms k2_zfmisc_1(all_0_15_15, all_0_14_14) = all_38_5_50, k2_zfmisc_1(all_0_15_15, all_0_14_14) = all_0_12_12, yields:
% 5.72/1.94  | (95) all_38_5_50 = all_0_12_12
% 5.72/1.94  |
% 5.72/1.94  | Instantiating formula (69) with all_0_15_15, all_0_14_14, all_34_7_43, all_38_5_50 and discharging atoms k2_zfmisc_1(all_0_15_15, all_0_14_14) = all_38_5_50, k2_zfmisc_1(all_0_15_15, all_0_14_14) = all_34_7_43, yields:
% 5.72/1.94  | (96) all_38_5_50 = all_34_7_43
% 5.72/1.94  |
% 5.72/1.94  | Instantiating formula (74) with all_0_8_8, all_38_1_46, all_0_4_4 and discharging atoms k1_zfmisc_1(all_0_8_8) = all_38_1_46, k1_zfmisc_1(all_0_8_8) = all_0_4_4, yields:
% 5.72/1.94  | (97) all_38_1_46 = all_0_4_4
% 5.72/1.94  |
% 5.72/1.94  | Instantiating formula (74) with all_0_9_9, all_38_2_47, all_0_6_6 and discharging atoms k1_zfmisc_1(all_0_9_9) = all_38_2_47, k1_zfmisc_1(all_0_9_9) = all_0_6_6, yields:
% 5.72/1.94  | (98) all_38_2_47 = all_0_6_6
% 5.72/1.94  |
% 5.72/1.94  | Combining equations (95,96) yields a new equation:
% 5.72/1.94  | (99) all_34_7_43 = all_0_12_12
% 5.72/1.94  |
% 5.72/1.94  | Combining equations (99,96) yields a new equation:
% 5.72/1.94  | (95) all_38_5_50 = all_0_12_12
% 5.72/1.94  |
% 5.72/1.94  | From (97) and (94) follows:
% 5.72/1.94  | (101) k1_zfmisc_1(all_0_4_4) = all_38_0_45
% 5.72/1.94  |
% 5.72/1.94  | From (95) and (88) follows:
% 5.72/1.94  | (102) k1_zfmisc_1(all_0_12_12) = all_38_4_49
% 5.72/1.94  |
% 5.72/1.94  | From (99) and (80) follows:
% 5.72/1.94  | (103) k1_zfmisc_1(all_0_12_12) = all_34_6_42
% 5.72/1.94  |
% 5.72/1.94  | Instantiating formula (74) with all_0_4_4, all_38_0_45, all_0_3_3 and discharging atoms k1_zfmisc_1(all_0_4_4) = all_38_0_45, k1_zfmisc_1(all_0_4_4) = all_0_3_3, yields:
% 5.72/1.94  | (104) all_38_0_45 = all_0_3_3
% 5.72/1.94  |
% 5.72/1.94  | Instantiating formula (74) with all_0_12_12, all_38_4_49, all_0_11_11 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_38_4_49, k1_zfmisc_1(all_0_12_12) = all_0_11_11, yields:
% 5.72/1.94  | (105) all_38_4_49 = all_0_11_11
% 5.72/1.94  |
% 5.72/1.94  | Instantiating formula (74) with all_0_12_12, all_34_6_42, all_38_4_49 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_38_4_49, k1_zfmisc_1(all_0_12_12) = all_34_6_42, yields:
% 5.72/1.94  | (106) all_38_4_49 = all_34_6_42
% 5.72/1.94  |
% 5.72/1.94  | Combining equations (105,106) yields a new equation:
% 5.72/1.94  | (107) all_34_6_42 = all_0_11_11
% 5.72/1.94  |
% 5.72/1.94  | Combining equations (107,106) yields a new equation:
% 5.72/1.94  | (105) all_38_4_49 = all_0_11_11
% 5.72/1.94  |
% 5.72/1.94  | From (105) and (91) follows:
% 5.72/1.94  | (109) k1_zfmisc_1(all_0_11_11) = all_38_3_48
% 5.72/1.95  |
% 5.72/1.95  +-Applying beta-rule and splitting (92), into two cases.
% 5.72/1.95  |-Branch one:
% 5.72/1.95  | (110)  ~ m1_subset_1(all_0_7_7, all_38_2_47)
% 5.72/1.95  |
% 5.72/1.95  	| From (98) and (110) follows:
% 5.72/1.95  	| (111)  ~ m1_subset_1(all_0_7_7, all_0_6_6)
% 5.72/1.95  	|
% 5.72/1.95  	| Using (45) and (111) yields:
% 5.72/1.95  	| (112) $false
% 5.72/1.95  	|
% 5.72/1.95  	|-The branch is then unsatisfiable
% 5.72/1.95  |-Branch two:
% 5.72/1.95  | (113) m1_subset_1(all_0_7_7, all_38_2_47)
% 5.72/1.95  | (114)  ~ m1_subset_1(all_0_13_13, all_38_3_48) | m1_subset_1(all_0_5_5, all_38_0_45)
% 5.72/1.95  |
% 5.72/1.95  	+-Applying beta-rule and splitting (114), into two cases.
% 5.72/1.95  	|-Branch one:
% 5.72/1.95  	| (115)  ~ m1_subset_1(all_0_13_13, all_38_3_48)
% 5.72/1.95  	|
% 5.72/1.95  		| Instantiating formula (74) with all_0_11_11, all_38_3_48, all_0_10_10 and discharging atoms k1_zfmisc_1(all_0_11_11) = all_38_3_48, k1_zfmisc_1(all_0_11_11) = all_0_10_10, yields:
% 5.72/1.95  		| (116) all_38_3_48 = all_0_10_10
% 5.72/1.95  		|
% 5.72/1.95  		| From (116) and (115) follows:
% 5.72/1.95  		| (117)  ~ m1_subset_1(all_0_13_13, all_0_10_10)
% 5.72/1.95  		|
% 5.72/1.95  		| Using (8) and (117) yields:
% 5.72/1.95  		| (112) $false
% 5.72/1.95  		|
% 5.72/1.95  		|-The branch is then unsatisfiable
% 5.72/1.95  	|-Branch two:
% 5.72/1.95  	| (119) m1_subset_1(all_0_13_13, all_38_3_48)
% 5.72/1.95  	| (120) m1_subset_1(all_0_5_5, all_38_0_45)
% 5.72/1.95  	|
% 5.72/1.95  		| From (104) and (120) follows:
% 5.72/1.95  		| (121) m1_subset_1(all_0_5_5, all_0_3_3)
% 5.72/1.95  		|
% 5.72/1.95  		| Using (121) and (34) yields:
% 5.72/1.95  		| (112) $false
% 5.72/1.95  		|
% 5.72/1.95  		|-The branch is then unsatisfiable
% 5.72/1.95  % SZS output end Proof for theBenchmark
% 5.72/1.95  
% 5.72/1.95  1354ms
%------------------------------------------------------------------------------