TSTP Solution File: NUM501+3 by ePrincess---1.0

%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : NUM501+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n017.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 : Mon Jul 18 08:45:12 EDT 2022

% Result   : Theorem 19.05s 5.53s
% Output   : Proof 122.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM501+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : ePrincess-casc -timeout=%d %s
% 0.12/0.34  % Computer : n017.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 : Fri Jul  8 00:04:45 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.59/0.60          ____       _                          
% 0.59/0.60    ___  / __ \_____(_)___  ________  __________
% 0.59/0.60   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.59/0.60  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.59/0.60  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.59/0.60  
% 0.59/0.60  A Theorem Prover for First-Order Logic
% 0.59/0.60  (ePrincess v.1.0)
% 0.59/0.60  
% 0.59/0.60  (c) Philipp Rümmer, 2009-2015
% 0.59/0.60  (c) Peter Backeman, 2014-2015
% 0.59/0.60  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.59/0.60  Free software under GNU Lesser General Public License (LGPL).
% 0.59/0.60  Bug reports to peter@backeman.se
% 0.59/0.60  
% 0.59/0.60  For more information, visit http://user.uu.se/~petba168/breu/
% 0.59/0.60  
% 0.59/0.60  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.66/0.68  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.87/1.08  Prover 0: Preprocessing ...
% 3.86/1.61  Prover 0: Constructing countermodel ...
% 19.05/5.53  Prover 0: proved (4854ms)
% 19.05/5.53  
% 19.05/5.53  No countermodel exists, formula is valid
% 19.05/5.53  % SZS status Theorem for theBenchmark
% 19.05/5.53  
% 19.05/5.53  Generating proof ... found it (size 265)
% 121.52/89.14  
% 121.52/89.14  % SZS output start Proof for theBenchmark
% 121.52/89.14  Assumed formulas after preprocessing and simplification: 
% 121.52/89.14  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : ( ~ (xr = sz10) &  ~ (xr = sz00) &  ~ (xk = sz10) &  ~ (xk = sz00) &  ~ (xp = xm) &  ~ (xp = xn) &  ~ (xp = sz10) &  ~ (xp = sz00) &  ~ (sz10 = sz00) & sdtsldt0(v2, xp) = xk & sdtasdt0(xr, v3) = xk & sdtasdt0(xp, v6) = v2 & sdtasdt0(xp, xk) = v2 & sdtasdt0(xn, xm) = v2 & sdtpldt0(v0, xp) = v1 & sdtpldt0(xm, v4) = xp & sdtpldt0(xn, v5) = xp & sdtpldt0(xn, xm) = v0 & isPrime0(xr) & isPrime0(xp) & doDivides0(xr, xk) & doDivides0(xp, v2) & sdtlseqdt0(xm, xp) & sdtlseqdt0(xn, xp) & aNaturalNumber0(v6) & aNaturalNumber0(v5) & aNaturalNumber0(v4) & aNaturalNumber0(v3) & aNaturalNumber0(xr) & aNaturalNumber0(xk) & aNaturalNumber0(xp) & aNaturalNumber0(xm) & aNaturalNumber0(xn) & aNaturalNumber0(sz10) & aNaturalNumber0(sz00) &  ~ isPrime0(sz10) &  ~ isPrime0(sz00) &  ~ doDivides0(xr, v2) &  ~ sdtlseqdt0(xp, xm) &  ~ sdtlseqdt0(xp, xn) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v7 = sz00 |  ~ (sdtsldt0(v11, v7) = v12) |  ~ (sdtsldt0(v8, v7) = v9) |  ~ (sdtasdt0(v10, v8) = v11) |  ~ doDivides0(v7, v8) |  ~ aNaturalNumber0(v10) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) | sdtasdt0(v10, v9) = v12) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (sdtasdt0(v9, v7) = v11) |  ~ (sdtasdt0(v8, v7) = v10) |  ~ (sdtpldt0(v10, v11) = v12) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) |  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] : (sdtasdt0(v13, v7) = v12 & sdtasdt0(v7, v13) = v14 & sdtasdt0(v7, v9) = v16 & sdtasdt0(v7, v8) = v15 & sdtpldt0(v15, v16) = v14 & sdtpldt0(v8, v9) = v13)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (sdtasdt0(v7, v9) = v11) |  ~ (sdtasdt0(v7, v8) = v10) |  ~ (sdtpldt0(v10, v11) = v12) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) |  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] : (sdtasdt0(v13, v7) = v14 & sdtasdt0(v9, v7) = v16 & sdtasdt0(v8, v7) = v15 & sdtasdt0(v7, v13) = v12 & sdtpldt0(v15, v16) = v14 & sdtpldt0(v8, v9) = v13)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v9 = v8 | v7 = sz00 |  ~ (sdtasdt0(v9, v7) = v11) |  ~ (sdtasdt0(v8, v7) = v10) |  ~ sdtlseqdt0(v8, v9) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) | sdtlseqdt0(v10, v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v9 = v8 | v7 = sz00 |  ~ (sdtasdt0(v9, v7) = v11) |  ~ (sdtasdt0(v8, v7) = v10) |  ~ sdtlseqdt0(v8, v9) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) |  ? [v12] :  ? [v13] : ( ~ (v13 = v12) & sdtasdt0(v7, v9) = v13 & sdtasdt0(v7, v8) = v12 & sdtlseqdt0(v12, v13))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v9 = v8 | v7 = sz00 |  ~ (sdtasdt0(v9, v7) = v11) |  ~ (sdtasdt0(v8, v7) = v10) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) |  ? [v12] :  ? [v13] : ( ~ (v13 = v12) & sdtasdt0(v7, v9) = v13 & sdtasdt0(v7, v8) = v12)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v9 = v8 | v7 = sz00 |  ~ (sdtasdt0(v9, v7) = v11) |  ~ (sdtasdt0(v7, v8) = v10) |  ~ sdtlseqdt0(v8, v9) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) |  ? [v12] :  ? [v13] : ( ~ (v13 = v11) &  ~ (v12 = v10) & sdtasdt0(v8, v7) = v13 & sdtasdt0(v7, v9) = v12 & sdtlseqdt0(v13, v11) & sdtlseqdt0(v10, v12))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v9 = v8 | v7 = sz00 |  ~ (sdtasdt0(v9, v7) = v11) |  ~ (sdtasdt0(v7, v8) = v10) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) |  ? [v12] :  ? [v13] : ( ~ (v13 = v11) &  ~ (v12 = v10) & sdtasdt0(v8, v7) = v13 & sdtasdt0(v7, v9) = v12)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v9 = v8 | v7 = sz00 |  ~ (sdtasdt0(v8, v7) = v11) |  ~ (sdtasdt0(v7, v9) = v10) |  ~ sdtlseqdt0(v8, v9) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) |  ? [v12] :  ? [v13] : ( ~ (v13 = v11) &  ~ (v12 = v10) & sdtasdt0(v9, v7) = v13 & sdtasdt0(v7, v8) = v12 & sdtlseqdt0(v12, v10) & sdtlseqdt0(v11, v13))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v9 = v8 | v7 = sz00 |  ~ (sdtasdt0(v8, v7) = v11) |  ~ (sdtasdt0(v7, v9) = v10) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) |  ? [v12] :  ? [v13] : ( ~ (v13 = v11) &  ~ (v12 = v10) & sdtasdt0(v9, v7) = v13 & sdtasdt0(v7, v8) = v12)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v9 = v8 | v7 = sz00 |  ~ (sdtasdt0(v7, v9) = v11) |  ~ (sdtasdt0(v7, v8) = v10) |  ~ sdtlseqdt0(v8, v9) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) | sdtlseqdt0(v10, v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v9 = v8 | v7 = sz00 |  ~ (sdtasdt0(v7, v9) = v11) |  ~ (sdtasdt0(v7, v8) = v10) |  ~ sdtlseqdt0(v8, v9) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) |  ? [v12] :  ? [v13] : ( ~ (v13 = v12) & sdtasdt0(v9, v7) = v13 & sdtasdt0(v8, v7) = v12 & sdtlseqdt0(v12, v13))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v9 = v8 | v7 = sz00 |  ~ (sdtasdt0(v7, v9) = v11) |  ~ (sdtasdt0(v7, v8) = v10) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) |  ? [v12] :  ? [v13] : ( ~ (v13 = v12) & sdtasdt0(v9, v7) = v13 & sdtasdt0(v8, v7) = v12)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v9 = v8 |  ~ (sdtpldt0(v9, v7) = v11) |  ~ (sdtpldt0(v8, v7) = v10) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) |  ? [v12] :  ? [v13] : ( ~ (v13 = v12) & sdtpldt0(v7, v9) = v13 & sdtpldt0(v7, v8) = v12)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v9 = v8 |  ~ (sdtpldt0(v9, v7) = v11) |  ~ (sdtpldt0(v7, v8) = v10) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) |  ? [v12] :  ? [v13] : ( ~ (v13 = v11) &  ~ (v12 = v10) & sdtpldt0(v8, v7) = v13 & sdtpldt0(v7, v9) = v12)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v9 = v8 |  ~ (sdtpldt0(v8, v7) = v11) |  ~ (sdtpldt0(v7, v9) = v10) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) |  ? [v12] :  ? [v13] : ( ~ (v13 = v11) &  ~ (v12 = v10) & sdtpldt0(v9, v7) = v13 & sdtpldt0(v7, v8) = v12)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v9 = v8 |  ~ (sdtpldt0(v7, v9) = v11) |  ~ (sdtpldt0(v7, v8) = v10) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) |  ? [v12] :  ? [v13] : ( ~ (v13 = v12) & sdtpldt0(v9, v7) = v13 & sdtpldt0(v8, v7) = v12)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v9 = sz10 | v9 = sz00 |  ~ (sdtpldt0(v10, v9) = v11) |  ~ (sdtpldt0(v7, v8) = v10) |  ~ iLess0(v11, v1) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) | doDivides0(v9, v8) | doDivides0(v9, v7) |  ? [v12] :  ? [v13] :  ? [v14] : ((v14 = v9 &  ~ (v12 = v9) &  ~ (v12 = sz10) & sdtasdt0(v12, v13) = v9 & doDivides0(v12, v9) & aNaturalNumber0(v13) & aNaturalNumber0(v12)) | (sdtasdt0(v7, v8) = v12 &  ~ doDivides0(v9, v12) &  ! [v15] : ( ~ (sdtasdt0(v9, v15) = v12) |  ~ aNaturalNumber0(v15))))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v9 = sz10 | v9 = sz00 |  ~ (sdtpldt0(v10, v9) = v11) |  ~ (sdtpldt0(v7, v8) = v10) |  ~ iLess0(v11, v1) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) | doDivides0(v9, v8) |  ? [v12] :  ? [v13] :  ? [v14] : ((v14 = v9 &  ~ (v12 = v9) &  ~ (v12 = sz10) & sdtasdt0(v12, v13) = v9 & doDivides0(v12, v9) & aNaturalNumber0(v13) & aNaturalNumber0(v12)) | (v13 = v7 & sdtasdt0(v9, v12) = v7 & aNaturalNumber0(v12)) | (sdtasdt0(v7, v8) = v12 &  ~ doDivides0(v9, v12) &  ! [v15] : ( ~ (sdtasdt0(v9, v15) = v12) |  ~ aNaturalNumber0(v15))))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v9 = sz10 | v9 = sz00 |  ~ (sdtpldt0(v10, v9) = v11) |  ~ (sdtpldt0(v7, v8) = v10) |  ~ iLess0(v11, v1) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) | doDivides0(v9, v7) |  ? [v12] :  ? [v13] :  ? [v14] : ((v14 = v9 &  ~ (v12 = v9) &  ~ (v12 = sz10) & sdtasdt0(v12, v13) = v9 & doDivides0(v12, v9) & aNaturalNumber0(v13) & aNaturalNumber0(v12)) | (v13 = v8 & sdtasdt0(v9, v12) = v8 & aNaturalNumber0(v12)) | (sdtasdt0(v7, v8) = v12 &  ~ doDivides0(v9, v12) &  ! [v15] : ( ~ (sdtasdt0(v9, v15) = v12) |  ~ aNaturalNumber0(v15))))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v9 = sz10 | v9 = sz00 |  ~ (sdtpldt0(v10, v9) = v11) |  ~ (sdtpldt0(v7, v8) = v10) |  ~ iLess0(v11, v1) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) |  ? [v12] :  ? [v13] :  ? [v14] : ((v14 = v9 &  ~ (v12 = v9) &  ~ (v12 = sz10) & sdtasdt0(v12, v13) = v9 & doDivides0(v12, v9) & aNaturalNumber0(v13) & aNaturalNumber0(v12)) | (v13 = v8 & sdtasdt0(v9, v12) = v8 & aNaturalNumber0(v12)) | (v13 = v7 & sdtasdt0(v9, v12) = v7 & aNaturalNumber0(v12)) | (sdtasdt0(v7, v8) = v12 &  ~ doDivides0(v9, v12) &  ! [v15] : ( ~ (sdtasdt0(v9, v15) = v12) |  ~ aNaturalNumber0(v15))))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v7 = sz00 |  ~ (sdtsldt0(v8, v7) = v9) |  ~ (sdtasdt0(v10, v9) = v11) |  ~ doDivides0(v7, v8) |  ~ aNaturalNumber0(v10) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) |  ? [v12] : (sdtsldt0(v12, v7) = v11 & sdtasdt0(v10, v8) = v12)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtasdt0(v10, v9) = v11) |  ~ (sdtasdt0(v7, v8) = v10) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) |  ? [v12] : (sdtasdt0(v8, v9) = v12 & sdtasdt0(v7, v12) = v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtasdt0(v10, v7) = v11) |  ~ (sdtpldt0(v8, v9) = v10) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) |  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] : (sdtasdt0(v9, v7) = v16 & sdtasdt0(v8, v7) = v15 & sdtasdt0(v7, v10) = v12 & sdtasdt0(v7, v9) = v14 & sdtasdt0(v7, v8) = v13 & sdtpldt0(v15, v16) = v11 & sdtpldt0(v13, v14) = v12)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtasdt0(v8, v9) = v10) |  ~ (sdtasdt0(v7, v10) = v11) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) |  ? [v12] : (sdtasdt0(v12, v9) = v11 & sdtasdt0(v7, v8) = v12)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtasdt0(v7, v10) = v11) |  ~ (sdtpldt0(v8, v9) = v10) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) |  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] : (sdtasdt0(v10, v7) = v14 & sdtasdt0(v9, v7) = v16 & sdtasdt0(v8, v7) = v15 & sdtasdt0(v7, v9) = v13 & sdtasdt0(v7, v8) = v12 & sdtpldt0(v15, v16) = v14 & sdtpldt0(v12, v13) = v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtpldt0(v10, v9) = v11) |  ~ (sdtpldt0(v7, v8) = v10) |  ~ isPrime0(v9) |  ~ iLess0(v11, v1) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) | doDivides0(v9, v8) | doDivides0(v9, v7) |  ? [v12] : (sdtasdt0(v7, v8) = v12 &  ~ doDivides0(v9, v12) &  ! [v13] : ( ~ (sdtasdt0(v9, v13) = v12) |  ~ aNaturalNumber0(v13)))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtpldt0(v10, v9) = v11) |  ~ (sdtpldt0(v7, v8) = v10) |  ~ isPrime0(v9) |  ~ iLess0(v11, v1) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) | doDivides0(v9, v8) |  ? [v12] :  ? [v13] : ((v13 = v7 & sdtasdt0(v9, v12) = v7 & aNaturalNumber0(v12)) | (sdtasdt0(v7, v8) = v12 &  ~ doDivides0(v9, v12) &  ! [v14] : ( ~ (sdtasdt0(v9, v14) = v12) |  ~ aNaturalNumber0(v14))))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtpldt0(v10, v9) = v11) |  ~ (sdtpldt0(v7, v8) = v10) |  ~ isPrime0(v9) |  ~ iLess0(v11, v1) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) | doDivides0(v9, v7) |  ? [v12] :  ? [v13] : ((v13 = v8 & sdtasdt0(v9, v12) = v8 & aNaturalNumber0(v12)) | (sdtasdt0(v7, v8) = v12 &  ~ doDivides0(v9, v12) &  ! [v14] : ( ~ (sdtasdt0(v9, v14) = v12) |  ~ aNaturalNumber0(v14))))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtpldt0(v10, v9) = v11) |  ~ (sdtpldt0(v7, v8) = v10) |  ~ isPrime0(v9) |  ~ iLess0(v11, v1) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) |  ? [v12] :  ? [v13] : ((v13 = v8 & sdtasdt0(v9, v12) = v8 & aNaturalNumber0(v12)) | (v13 = v7 & sdtasdt0(v9, v12) = v7 & aNaturalNumber0(v12)) | (sdtasdt0(v7, v8) = v12 &  ~ doDivides0(v9, v12) &  ! [v14] : ( ~ (sdtasdt0(v9, v14) = v12) |  ~ aNaturalNumber0(v14))))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtpldt0(v10, v9) = v11) |  ~ (sdtpldt0(v7, v8) = v10) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) |  ? [v12] : (sdtpldt0(v8, v9) = v12 & sdtpldt0(v7, v12) = v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtpldt0(v8, v9) = v10) |  ~ (sdtpldt0(v7, v10) = v11) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) |  ? [v12] : (sdtpldt0(v12, v9) = v11 & sdtpldt0(v7, v8) = v12)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v10 = v9 | v7 = sz00 |  ~ (sdtsldt0(v8, v7) = v9) |  ~ (sdtasdt0(v7, v10) = v8) |  ~ doDivides0(v7, v8) |  ~ aNaturalNumber0(v10) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v10 = v9 |  ~ (sdtmndt0(v8, v7) = v9) |  ~ (sdtpldt0(v7, v10) = v8) |  ~ sdtlseqdt0(v7, v8) |  ~ aNaturalNumber0(v10) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v10 = v8 | v7 = sz00 |  ~ (sdtsldt0(v8, v7) = v9) |  ~ (sdtasdt0(v7, v9) = v10) |  ~ doDivides0(v7, v8) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v10 = v8 |  ~ (sdtmndt0(v8, v7) = v9) |  ~ (sdtpldt0(v7, v9) = v10) |  ~ sdtlseqdt0(v7, v8) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v9 = v8 | v7 = sz00 |  ~ (sdtasdt0(v9, v7) = v10) |  ~ (sdtasdt0(v8, v7) = v10) |  ~ sdtlseqdt0(v8, v9) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v9 = v8 | v7 = sz00 |  ~ (sdtasdt0(v9, v7) = v10) |  ~ (sdtasdt0(v8, v7) = v10) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v9 = v8 | v7 = sz00 |  ~ (sdtasdt0(v7, v9) = v10) |  ~ (sdtasdt0(v7, v8) = v10) |  ~ sdtlseqdt0(v8, v9) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v9 = v8 | v7 = sz00 |  ~ (sdtasdt0(v7, v9) = v10) |  ~ (sdtasdt0(v7, v8) = v10) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v9 = v8 |  ~ (sdtpldt0(v9, v7) = v10) |  ~ (sdtpldt0(v8, v7) = v10) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v9 = v8 |  ~ (sdtpldt0(v7, v9) = v10) |  ~ (sdtpldt0(v7, v8) = v10) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (sdtsldt0(v10, v9) = v8) |  ~ (sdtsldt0(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (sdtmndt0(v10, v9) = v8) |  ~ (sdtmndt0(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (sdtasdt0(v10, v9) = v8) |  ~ (sdtasdt0(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (sdtpldt0(v10, v9) = v8) |  ~ (sdtpldt0(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (sdtpldt0(v9, v8) = v10) |  ~ sdtlseqdt0(v7, v8) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) |  ? [v11] :  ? [v12] :  ? [v13] : ( ~ (v13 = v12) &  ~ (v11 = v10) & sdtpldt0(v9, v7) = v11 & sdtpldt0(v8, v9) = v13 & sdtpldt0(v7, v9) = v12 & sdtlseqdt0(v12, v13) & sdtlseqdt0(v11, v10))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (sdtpldt0(v9, v7) = v10) |  ~ sdtlseqdt0(v7, v8) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) |  ? [v11] :  ? [v12] :  ? [v13] : ( ~ (v13 = v12) &  ~ (v11 = v10) & sdtpldt0(v9, v8) = v11 & sdtpldt0(v8, v9) = v13 & sdtpldt0(v7, v9) = v12 & sdtlseqdt0(v12, v13) & sdtlseqdt0(v10, v11))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (sdtpldt0(v8, v9) = v10) |  ~ sdtlseqdt0(v7, v8) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) |  ? [v11] :  ? [v12] :  ? [v13] : ( ~ (v13 = v10) &  ~ (v12 = v11) & sdtpldt0(v9, v8) = v12 & sdtpldt0(v9, v7) = v11 & sdtpldt0(v7, v9) = v13 & sdtlseqdt0(v13, v10) & sdtlseqdt0(v11, v12))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (sdtpldt0(v7, v9) = v10) |  ~ sdtlseqdt0(v7, v8) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) |  ? [v11] :  ? [v12] :  ? [v13] : ( ~ (v13 = v10) &  ~ (v12 = v11) & sdtpldt0(v9, v8) = v12 & sdtpldt0(v9, v7) = v11 & sdtpldt0(v8, v9) = v13 & sdtlseqdt0(v11, v12) & sdtlseqdt0(v10, v13))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v7 = sz00 |  ~ (sdtsldt0(v8, v7) = v9) |  ~ (sdtasdt0(v7, v9) = v10) |  ~ doDivides0(v7, v8) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) | aNaturalNumber0(v9)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (sdtmndt0(v8, v7) = v9) |  ~ (sdtpldt0(v7, v9) = v10) |  ~ sdtlseqdt0(v7, v8) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) | aNaturalNumber0(v9)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (sdtpldt0(v8, v9) = v10) |  ~ doDivides0(v7, v10) |  ~ doDivides0(v7, v8) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) | doDivides0(v7, v9)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (sdtpldt0(v8, v9) = v10) |  ~ doDivides0(v7, v9) |  ~ doDivides0(v7, v8) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) | doDivides0(v7, v10)) &  ! [v7] :  ! [v8] :  ! [v9] : (v7 = sz00 |  ~ (sdtasdt0(v8, v7) = v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) | sdtlseqdt0(v8, v9)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (sdtasdt0(v8, v7) = v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) | sdtasdt0(v7, v8) = v9) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (sdtasdt0(v7, v9) = v8) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) | doDivides0(v7, v8)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (sdtasdt0(v7, v8) = v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) | sdtasdt0(v8, v7) = v9) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (sdtasdt0(v7, v8) = v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) | aNaturalNumber0(v9)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (sdtpldt0(v8, v7) = v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) | sdtpldt0(v7, v8) = v9) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (sdtpldt0(v7, v9) = v8) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) | sdtlseqdt0(v7, v8)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (sdtpldt0(v7, v8) = v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) | sdtpldt0(v8, v7) = v9) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (sdtpldt0(v7, v8) = v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) | aNaturalNumber0(v9)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ doDivides0(v8, v9) |  ~ doDivides0(v7, v8) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) | doDivides0(v7, v9)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ sdtlseqdt0(v8, v9) |  ~ sdtlseqdt0(v7, v8) |  ~ aNaturalNumber0(v9) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) | sdtlseqdt0(v7, v9)) &  ! [v7] :  ! [v8] : (v8 = v7 | v8 = sz10 |  ~ isPrime0(v7) |  ~ doDivides0(v8, v7) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7)) &  ! [v7] :  ! [v8] : (v8 = v7 |  ~ (sdtasdt0(v7, sz10) = v8) |  ~ aNaturalNumber0(v7)) &  ! [v7] :  ! [v8] : (v8 = v7 |  ~ (sdtasdt0(sz10, v7) = v8) |  ~ aNaturalNumber0(v7)) &  ! [v7] :  ! [v8] : (v8 = v7 |  ~ (sdtpldt0(v7, sz00) = v8) |  ~ aNaturalNumber0(v7)) &  ! [v7] :  ! [v8] : (v8 = v7 |  ~ (sdtpldt0(sz00, v7) = v8) |  ~ aNaturalNumber0(v7)) &  ! [v7] :  ! [v8] : (v8 = v7 |  ~ sdtlseqdt0(v8, v7) |  ~ sdtlseqdt0(v7, v8) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7)) &  ! [v7] :  ! [v8] : (v8 = v7 |  ~ sdtlseqdt0(v7, v8) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) | iLess0(v7, v8)) &  ! [v7] :  ! [v8] : (v8 = sz00 | v7 = sz00 |  ~ (sdtasdt0(v7, v8) = sz00) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7)) &  ! [v7] :  ! [v8] : (v8 = sz00 |  ~ (sdtasdt0(v7, sz00) = v8) |  ~ aNaturalNumber0(v7)) &  ! [v7] :  ! [v8] : (v8 = sz00 |  ~ (sdtasdt0(sz00, v7) = v8) |  ~ aNaturalNumber0(v7)) &  ! [v7] :  ! [v8] : (v8 = sz00 |  ~ (sdtpldt0(v7, v8) = sz00) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7)) &  ! [v7] :  ! [v8] : (v8 = sz00 |  ~ doDivides0(v7, v8) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) | sdtlseqdt0(v7, v8)) &  ! [v7] :  ! [v8] : (v7 = xr | v7 = sz10 |  ~ (sdtasdt0(v7, v8) = xr) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7)) &  ! [v7] :  ! [v8] : (v7 = xp | v7 = sz10 |  ~ (sdtasdt0(v7, v8) = xp) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7)) &  ! [v7] :  ! [v8] : (v7 = sz00 |  ~ (sdtpldt0(v7, v8) = sz00) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7)) &  ! [v7] :  ! [v8] : ( ~ (sdtasdt0(v7, sz10) = v8) |  ~ aNaturalNumber0(v7) | sdtasdt0(sz10, v7) = v7) &  ! [v7] :  ! [v8] : ( ~ (sdtasdt0(v7, sz00) = v8) |  ~ aNaturalNumber0(v7) | sdtasdt0(sz00, v7) = sz00) &  ! [v7] :  ! [v8] : ( ~ (sdtasdt0(sz10, v7) = v8) |  ~ aNaturalNumber0(v7) | sdtasdt0(v7, sz10) = v7) &  ! [v7] :  ! [v8] : ( ~ (sdtasdt0(sz00, v7) = v8) |  ~ aNaturalNumber0(v7) | sdtasdt0(v7, sz00) = sz00) &  ! [v7] :  ! [v8] : ( ~ (sdtpldt0(v7, sz00) = v8) |  ~ aNaturalNumber0(v7) | sdtpldt0(sz00, v7) = v7) &  ! [v7] :  ! [v8] : ( ~ (sdtpldt0(sz00, v7) = v8) |  ~ aNaturalNumber0(v7) | sdtpldt0(v7, sz00) = v7) &  ! [v7] :  ! [v8] : ( ~ doDivides0(v7, v8) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) |  ? [v9] : (sdtasdt0(v7, v9) = v8 & aNaturalNumber0(v9))) &  ! [v7] :  ! [v8] : ( ~ sdtlseqdt0(v7, v8) |  ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) |  ? [v9] : (sdtpldt0(v7, v9) = v8 & aNaturalNumber0(v9))) &  ! [v7] :  ! [v8] : ( ~ aNaturalNumber0(v8) |  ~ aNaturalNumber0(v7) | sdtlseqdt0(v8, v7) | sdtlseqdt0(v7, v8)) &  ! [v7] : (v7 = xr | v7 = sz10 |  ~ doDivides0(v7, xr) |  ~ aNaturalNumber0(v7)) &  ! [v7] : (v7 = xp | v7 = sz10 |  ~ doDivides0(v7, xp) |  ~ aNaturalNumber0(v7)) &  ! [v7] : (v7 = sz10 | v7 = sz00 |  ~ aNaturalNumber0(v7) | isPrime0(v7) |  ? [v8] : ( ~ (v8 = v7) &  ~ (v8 = sz10) & doDivides0(v8, v7) & aNaturalNumber0(v8))) &  ! [v7] : (v7 = sz10 | v7 = sz00 |  ~ aNaturalNumber0(v7) | sdtlseqdt0(sz10, v7)) &  ! [v7] : (v7 = sz10 | v7 = sz00 |  ~ aNaturalNumber0(v7) |  ? [v8] : (isPrime0(v8) & doDivides0(v8, v7) & aNaturalNumber0(v8))) &  ! [v7] : ( ~ (sdtpldt0(xp, v7) = xm) |  ~ aNaturalNumber0(v7)) &  ! [v7] : ( ~ (sdtpldt0(xp, v7) = xn) |  ~ aNaturalNumber0(v7)) &  ! [v7] : ( ~ aNaturalNumber0(v7) | sdtlseqdt0(v7, v7)) &  ! [v7] : ( ~ aNaturalNumber0(v7) |  ? [v8] : ( ~ (v8 = v2) & sdtasdt0(xr, v7) = v8)))
% 121.81/89.21  | 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 yields:
% 121.81/89.21  | (1)  ~ (xr = sz10) &  ~ (xr = sz00) &  ~ (xk = sz10) &  ~ (xk = sz00) &  ~ (xp = xm) &  ~ (xp = xn) &  ~ (xp = sz10) &  ~ (xp = sz00) &  ~ (sz10 = sz00) & sdtsldt0(all_0_4_4, xp) = xk & sdtasdt0(xr, all_0_3_3) = xk & sdtasdt0(xp, all_0_0_0) = all_0_4_4 & sdtasdt0(xp, xk) = all_0_4_4 & sdtasdt0(xn, xm) = all_0_4_4 & sdtpldt0(all_0_6_6, xp) = all_0_5_5 & sdtpldt0(xm, all_0_2_2) = xp & sdtpldt0(xn, all_0_1_1) = xp & sdtpldt0(xn, xm) = all_0_6_6 & isPrime0(xr) & isPrime0(xp) & doDivides0(xr, xk) & doDivides0(xp, all_0_4_4) & sdtlseqdt0(xm, xp) & sdtlseqdt0(xn, xp) & aNaturalNumber0(all_0_0_0) & aNaturalNumber0(all_0_1_1) & aNaturalNumber0(all_0_2_2) & aNaturalNumber0(all_0_3_3) & aNaturalNumber0(xr) & aNaturalNumber0(xk) & aNaturalNumber0(xp) & aNaturalNumber0(xm) & aNaturalNumber0(xn) & aNaturalNumber0(sz10) & aNaturalNumber0(sz00) &  ~ isPrime0(sz10) &  ~ isPrime0(sz00) &  ~ doDivides0(xr, all_0_4_4) &  ~ sdtlseqdt0(xp, xm) &  ~ sdtlseqdt0(xp, xn) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v0 = sz00 |  ~ (sdtsldt0(v4, v0) = v5) |  ~ (sdtsldt0(v1, v0) = v2) |  ~ (sdtasdt0(v3, v1) = v4) |  ~ doDivides0(v0, v1) |  ~ aNaturalNumber0(v3) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | sdtasdt0(v3, v2) = v5) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (sdtasdt0(v2, v0) = v4) |  ~ (sdtasdt0(v1, v0) = v3) |  ~ (sdtpldt0(v3, v4) = v5) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (sdtasdt0(v6, v0) = v5 & sdtasdt0(v0, v6) = v7 & sdtasdt0(v0, v2) = v9 & sdtasdt0(v0, v1) = v8 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v1, v2) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (sdtasdt0(v0, v2) = v4) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ (sdtpldt0(v3, v4) = v5) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (sdtasdt0(v6, v0) = v7 & sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v6) = v5 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v1, v2) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 | v0 = sz00 |  ~ (sdtasdt0(v2, v0) = v4) |  ~ (sdtasdt0(v1, v0) = v3) |  ~ sdtlseqdt0(v1, v2) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | sdtlseqdt0(v3, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 | v0 = sz00 |  ~ (sdtasdt0(v2, v0) = v4) |  ~ (sdtasdt0(v1, v0) = v3) |  ~ sdtlseqdt0(v1, v2) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] : ( ~ (v6 = v5) & sdtasdt0(v0, v2) = v6 & sdtasdt0(v0, v1) = v5 & sdtlseqdt0(v5, v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 | v0 = sz00 |  ~ (sdtasdt0(v2, v0) = v4) |  ~ (sdtasdt0(v1, v0) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] : ( ~ (v6 = v5) & sdtasdt0(v0, v2) = v6 & sdtasdt0(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 | v0 = sz00 |  ~ (sdtasdt0(v2, v0) = v4) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ sdtlseqdt0(v1, v2) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] : ( ~ (v6 = v4) &  ~ (v5 = v3) & sdtasdt0(v1, v0) = v6 & sdtasdt0(v0, v2) = v5 & sdtlseqdt0(v6, v4) & sdtlseqdt0(v3, v5))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 | v0 = sz00 |  ~ (sdtasdt0(v2, v0) = v4) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] : ( ~ (v6 = v4) &  ~ (v5 = v3) & sdtasdt0(v1, v0) = v6 & sdtasdt0(v0, v2) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 | v0 = sz00 |  ~ (sdtasdt0(v1, v0) = v4) |  ~ (sdtasdt0(v0, v2) = v3) |  ~ sdtlseqdt0(v1, v2) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] : ( ~ (v6 = v4) &  ~ (v5 = v3) & sdtasdt0(v2, v0) = v6 & sdtasdt0(v0, v1) = v5 & sdtlseqdt0(v5, v3) & sdtlseqdt0(v4, v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 | v0 = sz00 |  ~ (sdtasdt0(v1, v0) = v4) |  ~ (sdtasdt0(v0, v2) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] : ( ~ (v6 = v4) &  ~ (v5 = v3) & sdtasdt0(v2, v0) = v6 & sdtasdt0(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 | v0 = sz00 |  ~ (sdtasdt0(v0, v2) = v4) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ sdtlseqdt0(v1, v2) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | sdtlseqdt0(v3, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 | v0 = sz00 |  ~ (sdtasdt0(v0, v2) = v4) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ sdtlseqdt0(v1, v2) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] : ( ~ (v6 = v5) & sdtasdt0(v2, v0) = v6 & sdtasdt0(v1, v0) = v5 & sdtlseqdt0(v5, v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 | v0 = sz00 |  ~ (sdtasdt0(v0, v2) = v4) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] : ( ~ (v6 = v5) & sdtasdt0(v2, v0) = v6 & sdtasdt0(v1, v0) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 |  ~ (sdtpldt0(v2, v0) = v4) |  ~ (sdtpldt0(v1, v0) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] : ( ~ (v6 = v5) & sdtpldt0(v0, v2) = v6 & sdtpldt0(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 |  ~ (sdtpldt0(v2, v0) = v4) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] : ( ~ (v6 = v4) &  ~ (v5 = v3) & sdtpldt0(v1, v0) = v6 & sdtpldt0(v0, v2) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 |  ~ (sdtpldt0(v1, v0) = v4) |  ~ (sdtpldt0(v0, v2) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] : ( ~ (v6 = v4) &  ~ (v5 = v3) & sdtpldt0(v2, v0) = v6 & sdtpldt0(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 |  ~ (sdtpldt0(v0, v2) = v4) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] : ( ~ (v6 = v5) & sdtpldt0(v2, v0) = v6 & sdtpldt0(v1, v0) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = sz10 | v2 = sz00 |  ~ (sdtpldt0(v3, v2) = v4) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ iLess0(v4, all_0_5_5) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | doDivides0(v2, v1) | doDivides0(v2, v0) |  ? [v5] :  ? [v6] :  ? [v7] : ((v7 = v2 &  ~ (v5 = v2) &  ~ (v5 = sz10) & sdtasdt0(v5, v6) = v2 & doDivides0(v5, v2) & aNaturalNumber0(v6) & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 &  ~ doDivides0(v2, v5) &  ! [v8] : ( ~ (sdtasdt0(v2, v8) = v5) |  ~ aNaturalNumber0(v8))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = sz10 | v2 = sz00 |  ~ (sdtpldt0(v3, v2) = v4) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ iLess0(v4, all_0_5_5) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | doDivides0(v2, v1) |  ? [v5] :  ? [v6] :  ? [v7] : ((v7 = v2 &  ~ (v5 = v2) &  ~ (v5 = sz10) & sdtasdt0(v5, v6) = v2 & doDivides0(v5, v2) & aNaturalNumber0(v6) & aNaturalNumber0(v5)) | (v6 = v0 & sdtasdt0(v2, v5) = v0 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 &  ~ doDivides0(v2, v5) &  ! [v8] : ( ~ (sdtasdt0(v2, v8) = v5) |  ~ aNaturalNumber0(v8))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = sz10 | v2 = sz00 |  ~ (sdtpldt0(v3, v2) = v4) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ iLess0(v4, all_0_5_5) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | doDivides0(v2, v0) |  ? [v5] :  ? [v6] :  ? [v7] : ((v7 = v2 &  ~ (v5 = v2) &  ~ (v5 = sz10) & sdtasdt0(v5, v6) = v2 & doDivides0(v5, v2) & aNaturalNumber0(v6) & aNaturalNumber0(v5)) | (v6 = v1 & sdtasdt0(v2, v5) = v1 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 &  ~ doDivides0(v2, v5) &  ! [v8] : ( ~ (sdtasdt0(v2, v8) = v5) |  ~ aNaturalNumber0(v8))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = sz10 | v2 = sz00 |  ~ (sdtpldt0(v3, v2) = v4) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ iLess0(v4, all_0_5_5) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] :  ? [v7] : ((v7 = v2 &  ~ (v5 = v2) &  ~ (v5 = sz10) & sdtasdt0(v5, v6) = v2 & doDivides0(v5, v2) & aNaturalNumber0(v6) & aNaturalNumber0(v5)) | (v6 = v1 & sdtasdt0(v2, v5) = v1 & aNaturalNumber0(v5)) | (v6 = v0 & sdtasdt0(v2, v5) = v0 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 &  ~ doDivides0(v2, v5) &  ! [v8] : ( ~ (sdtasdt0(v2, v8) = v5) |  ~ aNaturalNumber0(v8))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v0 = sz00 |  ~ (sdtsldt0(v1, v0) = v2) |  ~ (sdtasdt0(v3, v2) = v4) |  ~ doDivides0(v0, v1) |  ~ aNaturalNumber0(v3) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] : (sdtsldt0(v5, v0) = v4 & sdtasdt0(v3, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtasdt0(v3, v2) = v4) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] : (sdtasdt0(v1, v2) = v5 & sdtasdt0(v0, v5) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtasdt0(v3, v0) = v4) |  ~ (sdtpldt0(v1, v2) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v3) = v5 & sdtasdt0(v0, v2) = v7 & sdtasdt0(v0, v1) = v6 & sdtpldt0(v8, v9) = v4 & sdtpldt0(v6, v7) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtasdt0(v1, v2) = v3) |  ~ (sdtasdt0(v0, v3) = v4) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] : (sdtasdt0(v5, v2) = v4 & sdtasdt0(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtasdt0(v0, v3) = v4) |  ~ (sdtpldt0(v1, v2) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (sdtasdt0(v3, v0) = v7 & sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v2) = v6 & sdtasdt0(v0, v1) = v5 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v5, v6) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ isPrime0(v2) |  ~ iLess0(v4, all_0_5_5) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | doDivides0(v2, v1) | doDivides0(v2, v0) |  ? [v5] : (sdtasdt0(v0, v1) = v5 &  ~ doDivides0(v2, v5) &  ! [v6] : ( ~ (sdtasdt0(v2, v6) = v5) |  ~ aNaturalNumber0(v6)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ isPrime0(v2) |  ~ iLess0(v4, all_0_5_5) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | doDivides0(v2, v1) |  ? [v5] :  ? [v6] : ((v6 = v0 & sdtasdt0(v2, v5) = v0 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 &  ~ doDivides0(v2, v5) &  ! [v7] : ( ~ (sdtasdt0(v2, v7) = v5) |  ~ aNaturalNumber0(v7))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ isPrime0(v2) |  ~ iLess0(v4, all_0_5_5) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | doDivides0(v2, v0) |  ? [v5] :  ? [v6] : ((v6 = v1 & sdtasdt0(v2, v5) = v1 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 &  ~ doDivides0(v2, v5) &  ! [v7] : ( ~ (sdtasdt0(v2, v7) = v5) |  ~ aNaturalNumber0(v7))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ isPrime0(v2) |  ~ iLess0(v4, all_0_5_5) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] : ((v6 = v1 & sdtasdt0(v2, v5) = v1 & aNaturalNumber0(v5)) | (v6 = v0 & sdtasdt0(v2, v5) = v0 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 &  ~ doDivides0(v2, v5) &  ! [v7] : ( ~ (sdtasdt0(v2, v7) = v5) |  ~ aNaturalNumber0(v7))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] : (sdtpldt0(v1, v2) = v5 & sdtpldt0(v0, v5) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtpldt0(v1, v2) = v3) |  ~ (sdtpldt0(v0, v3) = v4) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] : (sdtpldt0(v5, v2) = v4 & sdtpldt0(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 | v0 = sz00 |  ~ (sdtsldt0(v1, v0) = v2) |  ~ (sdtasdt0(v0, v3) = v1) |  ~ doDivides0(v0, v1) |  ~ aNaturalNumber0(v3) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (sdtmndt0(v1, v0) = v2) |  ~ (sdtpldt0(v0, v3) = v1) |  ~ sdtlseqdt0(v0, v1) |  ~ aNaturalNumber0(v3) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 | v0 = sz00 |  ~ (sdtsldt0(v1, v0) = v2) |  ~ (sdtasdt0(v0, v2) = v3) |  ~ doDivides0(v0, v1) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (sdtmndt0(v1, v0) = v2) |  ~ (sdtpldt0(v0, v2) = v3) |  ~ sdtlseqdt0(v0, v1) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 | v0 = sz00 |  ~ (sdtasdt0(v2, v0) = v3) |  ~ (sdtasdt0(v1, v0) = v3) |  ~ sdtlseqdt0(v1, v2) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 | v0 = sz00 |  ~ (sdtasdt0(v2, v0) = v3) |  ~ (sdtasdt0(v1, v0) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 | v0 = sz00 |  ~ (sdtasdt0(v0, v2) = v3) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ sdtlseqdt0(v1, v2) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 | v0 = sz00 |  ~ (sdtasdt0(v0, v2) = v3) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ (sdtpldt0(v2, v0) = v3) |  ~ (sdtpldt0(v1, v0) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ (sdtpldt0(v0, v2) = v3) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (sdtsldt0(v3, v2) = v1) |  ~ (sdtsldt0(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (sdtmndt0(v3, v2) = v1) |  ~ (sdtmndt0(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (sdtasdt0(v3, v2) = v1) |  ~ (sdtasdt0(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (sdtpldt0(v3, v2) = v1) |  ~ (sdtpldt0(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (sdtpldt0(v2, v1) = v3) |  ~ sdtlseqdt0(v0, v1) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v4] :  ? [v5] :  ? [v6] : ( ~ (v6 = v5) &  ~ (v4 = v3) & sdtpldt0(v2, v0) = v4 & sdtpldt0(v1, v2) = v6 & sdtpldt0(v0, v2) = v5 & sdtlseqdt0(v5, v6) & sdtlseqdt0(v4, v3))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (sdtpldt0(v2, v0) = v3) |  ~ sdtlseqdt0(v0, v1) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v4] :  ? [v5] :  ? [v6] : ( ~ (v6 = v5) &  ~ (v4 = v3) & sdtpldt0(v2, v1) = v4 & sdtpldt0(v1, v2) = v6 & sdtpldt0(v0, v2) = v5 & sdtlseqdt0(v5, v6) & sdtlseqdt0(v3, v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (sdtpldt0(v1, v2) = v3) |  ~ sdtlseqdt0(v0, v1) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v4] :  ? [v5] :  ? [v6] : ( ~ (v6 = v3) &  ~ (v5 = v4) & sdtpldt0(v2, v1) = v5 & sdtpldt0(v2, v0) = v4 & sdtpldt0(v0, v2) = v6 & sdtlseqdt0(v6, v3) & sdtlseqdt0(v4, v5))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (sdtpldt0(v0, v2) = v3) |  ~ sdtlseqdt0(v0, v1) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v4] :  ? [v5] :  ? [v6] : ( ~ (v6 = v3) &  ~ (v5 = v4) & sdtpldt0(v2, v1) = v5 & sdtpldt0(v2, v0) = v4 & sdtpldt0(v1, v2) = v6 & sdtlseqdt0(v4, v5) & sdtlseqdt0(v3, v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v0 = sz00 |  ~ (sdtsldt0(v1, v0) = v2) |  ~ (sdtasdt0(v0, v2) = v3) |  ~ doDivides0(v0, v1) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | aNaturalNumber0(v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sdtmndt0(v1, v0) = v2) |  ~ (sdtpldt0(v0, v2) = v3) |  ~ sdtlseqdt0(v0, v1) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | aNaturalNumber0(v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sdtpldt0(v1, v2) = v3) |  ~ doDivides0(v0, v3) |  ~ doDivides0(v0, v1) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | doDivides0(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sdtpldt0(v1, v2) = v3) |  ~ doDivides0(v0, v2) |  ~ doDivides0(v0, v1) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | doDivides0(v0, v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v0 = sz00 |  ~ (sdtasdt0(v1, v0) = v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | sdtlseqdt0(v1, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasdt0(v1, v0) = v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | sdtasdt0(v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasdt0(v0, v2) = v1) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | doDivides0(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | sdtasdt0(v1, v0) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | aNaturalNumber0(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtpldt0(v1, v0) = v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | sdtpldt0(v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtpldt0(v0, v2) = v1) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | sdtlseqdt0(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | sdtpldt0(v1, v0) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | aNaturalNumber0(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ doDivides0(v1, v2) |  ~ doDivides0(v0, v1) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | doDivides0(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ sdtlseqdt0(v1, v2) |  ~ sdtlseqdt0(v0, v1) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | sdtlseqdt0(v0, v2)) &  ! [v0] :  ! [v1] : (v1 = v0 | v1 = sz10 |  ~ isPrime0(v0) |  ~ doDivides0(v1, v0) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (sdtasdt0(v0, sz10) = v1) |  ~ aNaturalNumber0(v0)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (sdtasdt0(sz10, v0) = v1) |  ~ aNaturalNumber0(v0)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (sdtpldt0(v0, sz00) = v1) |  ~ aNaturalNumber0(v0)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (sdtpldt0(sz00, v0) = v1) |  ~ aNaturalNumber0(v0)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ sdtlseqdt0(v1, v0) |  ~ sdtlseqdt0(v0, v1) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ sdtlseqdt0(v0, v1) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | iLess0(v0, v1)) &  ! [v0] :  ! [v1] : (v1 = sz00 | v0 = sz00 |  ~ (sdtasdt0(v0, v1) = sz00) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0)) &  ! [v0] :  ! [v1] : (v1 = sz00 |  ~ (sdtasdt0(v0, sz00) = v1) |  ~ aNaturalNumber0(v0)) &  ! [v0] :  ! [v1] : (v1 = sz00 |  ~ (sdtasdt0(sz00, v0) = v1) |  ~ aNaturalNumber0(v0)) &  ! [v0] :  ! [v1] : (v1 = sz00 |  ~ (sdtpldt0(v0, v1) = sz00) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0)) &  ! [v0] :  ! [v1] : (v1 = sz00 |  ~ doDivides0(v0, v1) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | sdtlseqdt0(v0, v1)) &  ! [v0] :  ! [v1] : (v0 = xr | v0 = sz10 |  ~ (sdtasdt0(v0, v1) = xr) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0)) &  ! [v0] :  ! [v1] : (v0 = xp | v0 = sz10 |  ~ (sdtasdt0(v0, v1) = xp) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0)) &  ! [v0] :  ! [v1] : (v0 = sz00 |  ~ (sdtpldt0(v0, v1) = sz00) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0)) &  ! [v0] :  ! [v1] : ( ~ (sdtasdt0(v0, sz10) = v1) |  ~ aNaturalNumber0(v0) | sdtasdt0(sz10, v0) = v0) &  ! [v0] :  ! [v1] : ( ~ (sdtasdt0(v0, sz00) = v1) |  ~ aNaturalNumber0(v0) | sdtasdt0(sz00, v0) = sz00) &  ! [v0] :  ! [v1] : ( ~ (sdtasdt0(sz10, v0) = v1) |  ~ aNaturalNumber0(v0) | sdtasdt0(v0, sz10) = v0) &  ! [v0] :  ! [v1] : ( ~ (sdtasdt0(sz00, v0) = v1) |  ~ aNaturalNumber0(v0) | sdtasdt0(v0, sz00) = sz00) &  ! [v0] :  ! [v1] : ( ~ (sdtpldt0(v0, sz00) = v1) |  ~ aNaturalNumber0(v0) | sdtpldt0(sz00, v0) = v0) &  ! [v0] :  ! [v1] : ( ~ (sdtpldt0(sz00, v0) = v1) |  ~ aNaturalNumber0(v0) | sdtpldt0(v0, sz00) = v0) &  ! [v0] :  ! [v1] : ( ~ doDivides0(v0, v1) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v2] : (sdtasdt0(v0, v2) = v1 & aNaturalNumber0(v2))) &  ! [v0] :  ! [v1] : ( ~ sdtlseqdt0(v0, v1) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v2] : (sdtpldt0(v0, v2) = v1 & aNaturalNumber0(v2))) &  ! [v0] :  ! [v1] : ( ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | sdtlseqdt0(v1, v0) | sdtlseqdt0(v0, v1)) &  ! [v0] : (v0 = xr | v0 = sz10 |  ~ doDivides0(v0, xr) |  ~ aNaturalNumber0(v0)) &  ! [v0] : (v0 = xp | v0 = sz10 |  ~ doDivides0(v0, xp) |  ~ aNaturalNumber0(v0)) &  ! [v0] : (v0 = sz10 | v0 = sz00 |  ~ aNaturalNumber0(v0) | isPrime0(v0) |  ? [v1] : ( ~ (v1 = v0) &  ~ (v1 = sz10) & doDivides0(v1, v0) & aNaturalNumber0(v1))) &  ! [v0] : (v0 = sz10 | v0 = sz00 |  ~ aNaturalNumber0(v0) | sdtlseqdt0(sz10, v0)) &  ! [v0] : (v0 = sz10 | v0 = sz00 |  ~ aNaturalNumber0(v0) |  ? [v1] : (isPrime0(v1) & doDivides0(v1, v0) & aNaturalNumber0(v1))) &  ! [v0] : ( ~ (sdtpldt0(xp, v0) = xm) |  ~ aNaturalNumber0(v0)) &  ! [v0] : ( ~ (sdtpldt0(xp, v0) = xn) |  ~ aNaturalNumber0(v0)) &  ! [v0] : ( ~ aNaturalNumber0(v0) | sdtlseqdt0(v0, v0)) &  ! [v0] : ( ~ aNaturalNumber0(v0) |  ? [v1] : ( ~ (v1 = all_0_4_4) & sdtasdt0(xr, v0) = v1))
% 121.81/89.25  |
% 121.81/89.25  | Applying alpha-rule on (1) yields:
% 121.81/89.25  | (2)  ! [v0] :  ! [v1] : ( ~ sdtlseqdt0(v0, v1) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v2] : (sdtpldt0(v0, v2) = v1 & aNaturalNumber0(v2)))
% 121.81/89.25  | (3)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (sdtmndt0(v3, v2) = v1) |  ~ (sdtmndt0(v3, v2) = v0))
% 121.81/89.25  | (4)  ! [v0] :  ! [v1] : (v1 = sz00 |  ~ (sdtpldt0(v0, v1) = sz00) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0))
% 121.81/89.25  | (5)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 | v0 = sz00 |  ~ (sdtasdt0(v0, v2) = v4) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ sdtlseqdt0(v1, v2) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | sdtlseqdt0(v3, v4))
% 121.81/89.25  | (6)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 | v0 = sz00 |  ~ (sdtasdt0(v1, v0) = v4) |  ~ (sdtasdt0(v0, v2) = v3) |  ~ sdtlseqdt0(v1, v2) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] : ( ~ (v6 = v4) &  ~ (v5 = v3) & sdtasdt0(v2, v0) = v6 & sdtasdt0(v0, v1) = v5 & sdtlseqdt0(v5, v3) & sdtlseqdt0(v4, v6)))
% 121.81/89.25  | (7)  ! [v0] : (v0 = sz10 | v0 = sz00 |  ~ aNaturalNumber0(v0) | isPrime0(v0) |  ? [v1] : ( ~ (v1 = v0) &  ~ (v1 = sz10) & doDivides0(v1, v0) & aNaturalNumber0(v1)))
% 121.81/89.25  | (8)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (sdtasdt0(v2, v0) = v4) |  ~ (sdtasdt0(v1, v0) = v3) |  ~ (sdtpldt0(v3, v4) = v5) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (sdtasdt0(v6, v0) = v5 & sdtasdt0(v0, v6) = v7 & sdtasdt0(v0, v2) = v9 & sdtasdt0(v0, v1) = v8 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v1, v2) = v6))
% 121.81/89.25  | (9)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = sz10 | v2 = sz00 |  ~ (sdtpldt0(v3, v2) = v4) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ iLess0(v4, all_0_5_5) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] :  ? [v7] : ((v7 = v2 &  ~ (v5 = v2) &  ~ (v5 = sz10) & sdtasdt0(v5, v6) = v2 & doDivides0(v5, v2) & aNaturalNumber0(v6) & aNaturalNumber0(v5)) | (v6 = v1 & sdtasdt0(v2, v5) = v1 & aNaturalNumber0(v5)) | (v6 = v0 & sdtasdt0(v2, v5) = v0 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 &  ~ doDivides0(v2, v5) &  ! [v8] : ( ~ (sdtasdt0(v2, v8) = v5) |  ~ aNaturalNumber0(v8)))))
% 121.81/89.26  | (10) sdtasdt0(xp, all_0_0_0) = all_0_4_4
% 121.81/89.26  | (11)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtasdt0(v3, v2) = v4) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] : (sdtasdt0(v1, v2) = v5 & sdtasdt0(v0, v5) = v4))
% 121.81/89.26  | (12) aNaturalNumber0(all_0_3_3)
% 121.81/89.26  | (13)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasdt0(v0, v2) = v1) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | doDivides0(v0, v1))
% 121.81/89.26  | (14)  ! [v0] :  ! [v1] : (v1 = sz00 |  ~ (sdtasdt0(v0, sz00) = v1) |  ~ aNaturalNumber0(v0))
% 121.81/89.26  | (15)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | sdtpldt0(v1, v0) = v2)
% 121.81/89.26  | (16) doDivides0(xp, all_0_4_4)
% 121.81/89.26  | (17)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtpldt0(v1, v0) = v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | sdtpldt0(v0, v1) = v2)
% 121.81/89.26  | (18)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (sdtpldt0(v3, v2) = v1) |  ~ (sdtpldt0(v3, v2) = v0))
% 121.81/89.26  | (19)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 | v0 = sz00 |  ~ (sdtsldt0(v1, v0) = v2) |  ~ (sdtasdt0(v0, v3) = v1) |  ~ doDivides0(v0, v1) |  ~ aNaturalNumber0(v3) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0))
% 121.81/89.26  | (20)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] : (sdtpldt0(v1, v2) = v5 & sdtpldt0(v0, v5) = v4))
% 121.81/89.26  | (21)  ! [v0] :  ! [v1] :  ! [v2] : (v0 = sz00 |  ~ (sdtasdt0(v1, v0) = v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | sdtlseqdt0(v1, v2))
% 121.81/89.26  | (22) aNaturalNumber0(xr)
% 121.81/89.26  | (23) aNaturalNumber0(all_0_1_1)
% 121.81/89.26  | (24) sdtasdt0(xn, xm) = all_0_4_4
% 121.81/89.26  | (25)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (sdtasdt0(sz10, v0) = v1) |  ~ aNaturalNumber0(v0))
% 121.81/89.26  | (26)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 | v0 = sz00 |  ~ (sdtsldt0(v1, v0) = v2) |  ~ (sdtasdt0(v0, v2) = v3) |  ~ doDivides0(v0, v1) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0))
% 121.81/89.26  | (27)  ! [v0] :  ! [v1] : ( ~ (sdtasdt0(v0, sz10) = v1) |  ~ aNaturalNumber0(v0) | sdtasdt0(sz10, v0) = v0)
% 121.81/89.26  | (28) sdtasdt0(xr, all_0_3_3) = xk
% 121.81/89.26  | (29)  ~ (xp = sz10)
% 121.81/89.26  | (30)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v0 = sz00 |  ~ (sdtsldt0(v1, v0) = v2) |  ~ (sdtasdt0(v3, v2) = v4) |  ~ doDivides0(v0, v1) |  ~ aNaturalNumber0(v3) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] : (sdtsldt0(v5, v0) = v4 & sdtasdt0(v3, v1) = v5))
% 121.81/89.26  | (31)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ (sdtpldt0(v2, v0) = v3) |  ~ (sdtpldt0(v1, v0) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0))
% 121.81/89.26  | (32)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 |  ~ (sdtpldt0(v2, v0) = v4) |  ~ (sdtpldt0(v1, v0) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] : ( ~ (v6 = v5) & sdtpldt0(v0, v2) = v6 & sdtpldt0(v0, v1) = v5))
% 121.81/89.26  | (33)  ! [v0] : ( ~ aNaturalNumber0(v0) |  ? [v1] : ( ~ (v1 = all_0_4_4) & sdtasdt0(xr, v0) = v1))
% 121.81/89.26  | (34) sdtasdt0(xp, xk) = all_0_4_4
% 121.81/89.26  | (35)  ! [v0] :  ! [v1] : ( ~ (sdtpldt0(sz00, v0) = v1) |  ~ aNaturalNumber0(v0) | sdtpldt0(v0, sz00) = v0)
% 121.81/89.26  | (36)  ! [v0] :  ! [v1] : ( ~ (sdtasdt0(v0, sz00) = v1) |  ~ aNaturalNumber0(v0) | sdtasdt0(sz00, v0) = sz00)
% 121.81/89.26  | (37)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = sz10 | v2 = sz00 |  ~ (sdtpldt0(v3, v2) = v4) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ iLess0(v4, all_0_5_5) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | doDivides0(v2, v1) |  ? [v5] :  ? [v6] :  ? [v7] : ((v7 = v2 &  ~ (v5 = v2) &  ~ (v5 = sz10) & sdtasdt0(v5, v6) = v2 & doDivides0(v5, v2) & aNaturalNumber0(v6) & aNaturalNumber0(v5)) | (v6 = v0 & sdtasdt0(v2, v5) = v0 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 &  ~ doDivides0(v2, v5) &  ! [v8] : ( ~ (sdtasdt0(v2, v8) = v5) |  ~ aNaturalNumber0(v8)))))
% 121.81/89.26  | (38)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasdt0(v1, v0) = v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | sdtasdt0(v0, v1) = v2)
% 121.81/89.26  | (39) isPrime0(xr)
% 121.81/89.26  | (40)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtasdt0(v3, v0) = v4) |  ~ (sdtpldt0(v1, v2) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v3) = v5 & sdtasdt0(v0, v2) = v7 & sdtasdt0(v0, v1) = v6 & sdtpldt0(v8, v9) = v4 & sdtpldt0(v6, v7) = v5))
% 121.81/89.27  | (41) sdtlseqdt0(xn, xp)
% 121.81/89.27  | (42)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ doDivides0(v1, v2) |  ~ doDivides0(v0, v1) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | doDivides0(v0, v2))
% 121.81/89.27  | (43)  ~ (xp = sz00)
% 121.81/89.27  | (44)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 | v0 = sz00 |  ~ (sdtasdt0(v2, v0) = v4) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ sdtlseqdt0(v1, v2) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] : ( ~ (v6 = v4) &  ~ (v5 = v3) & sdtasdt0(v1, v0) = v6 & sdtasdt0(v0, v2) = v5 & sdtlseqdt0(v6, v4) & sdtlseqdt0(v3, v5)))
% 121.81/89.27  | (45)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 | v0 = sz00 |  ~ (sdtasdt0(v1, v0) = v4) |  ~ (sdtasdt0(v0, v2) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] : ( ~ (v6 = v4) &  ~ (v5 = v3) & sdtasdt0(v2, v0) = v6 & sdtasdt0(v0, v1) = v5))
% 121.81/89.27  | (46)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sdtmndt0(v1, v0) = v2) |  ~ (sdtpldt0(v0, v2) = v3) |  ~ sdtlseqdt0(v0, v1) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | aNaturalNumber0(v2))
% 121.81/89.27  | (47)  ! [v0] :  ! [v1] : ( ~ (sdtpldt0(v0, sz00) = v1) |  ~ aNaturalNumber0(v0) | sdtpldt0(sz00, v0) = v0)
% 121.81/89.27  | (48)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sdtpldt0(v1, v2) = v3) |  ~ doDivides0(v0, v3) |  ~ doDivides0(v0, v1) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | doDivides0(v0, v2))
% 121.81/89.27  | (49)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 | v0 = sz00 |  ~ (sdtasdt0(v2, v0) = v4) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] : ( ~ (v6 = v4) &  ~ (v5 = v3) & sdtasdt0(v1, v0) = v6 & sdtasdt0(v0, v2) = v5))
% 121.81/89.27  | (50)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (sdtmndt0(v1, v0) = v2) |  ~ (sdtpldt0(v0, v3) = v1) |  ~ sdtlseqdt0(v0, v1) |  ~ aNaturalNumber0(v3) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0))
% 121.81/89.27  | (51)  ! [v0] :  ! [v1] : (v1 = sz00 |  ~ (sdtasdt0(sz00, v0) = v1) |  ~ aNaturalNumber0(v0))
% 121.81/89.27  | (52)  ! [v0] :  ! [v1] : ( ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | sdtlseqdt0(v1, v0) | sdtlseqdt0(v0, v1))
% 121.81/89.27  | (53)  ~ isPrime0(sz00)
% 121.81/89.27  | (54)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 |  ~ (sdtpldt0(v0, v2) = v4) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] : ( ~ (v6 = v5) & sdtpldt0(v2, v0) = v6 & sdtpldt0(v1, v0) = v5))
% 121.81/89.27  | (55)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | aNaturalNumber0(v2))
% 121.81/89.27  | (56)  ! [v0] :  ! [v1] : ( ~ (sdtasdt0(sz00, v0) = v1) |  ~ aNaturalNumber0(v0) | sdtasdt0(v0, sz00) = sz00)
% 121.81/89.27  | (57) sdtpldt0(xn, xm) = all_0_6_6
% 121.81/89.27  | (58)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (sdtpldt0(v2, v1) = v3) |  ~ sdtlseqdt0(v0, v1) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v4] :  ? [v5] :  ? [v6] : ( ~ (v6 = v5) &  ~ (v4 = v3) & sdtpldt0(v2, v0) = v4 & sdtpldt0(v1, v2) = v6 & sdtpldt0(v0, v2) = v5 & sdtlseqdt0(v5, v6) & sdtlseqdt0(v4, v3)))
% 121.81/89.27  | (59)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ isPrime0(v2) |  ~ iLess0(v4, all_0_5_5) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] : ((v6 = v1 & sdtasdt0(v2, v5) = v1 & aNaturalNumber0(v5)) | (v6 = v0 & sdtasdt0(v2, v5) = v0 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 &  ~ doDivides0(v2, v5) &  ! [v7] : ( ~ (sdtasdt0(v2, v7) = v5) |  ~ aNaturalNumber0(v7)))))
% 121.81/89.27  | (60)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 |  ~ (sdtpldt0(v1, v0) = v4) |  ~ (sdtpldt0(v0, v2) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] : ( ~ (v6 = v4) &  ~ (v5 = v3) & sdtpldt0(v2, v0) = v6 & sdtpldt0(v0, v1) = v5))
% 121.81/89.27  | (61)  ! [v0] :  ! [v1] : (v1 = v0 | v1 = sz10 |  ~ isPrime0(v0) |  ~ doDivides0(v1, v0) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0))
% 121.81/89.27  | (62) sdtpldt0(all_0_6_6, xp) = all_0_5_5
% 121.81/89.27  | (63) aNaturalNumber0(all_0_0_0)
% 121.81/89.27  | (64) aNaturalNumber0(all_0_2_2)
% 121.81/89.27  | (65)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = sz10 | v2 = sz00 |  ~ (sdtpldt0(v3, v2) = v4) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ iLess0(v4, all_0_5_5) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | doDivides0(v2, v1) | doDivides0(v2, v0) |  ? [v5] :  ? [v6] :  ? [v7] : ((v7 = v2 &  ~ (v5 = v2) &  ~ (v5 = sz10) & sdtasdt0(v5, v6) = v2 & doDivides0(v5, v2) & aNaturalNumber0(v6) & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 &  ~ doDivides0(v2, v5) &  ! [v8] : ( ~ (sdtasdt0(v2, v8) = v5) |  ~ aNaturalNumber0(v8)))))
% 121.81/89.28  | (66)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 | v0 = sz00 |  ~ (sdtasdt0(v0, v2) = v4) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] : ( ~ (v6 = v5) & sdtasdt0(v2, v0) = v6 & sdtasdt0(v1, v0) = v5))
% 121.81/89.28  | (67)  ~ (xk = sz00)
% 121.81/89.28  | (68)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ sdtlseqdt0(v0, v1) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | iLess0(v0, v1))
% 121.81/89.28  | (69)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | sdtasdt0(v1, v0) = v2)
% 121.81/89.28  | (70)  ~ (xr = sz10)
% 121.81/89.28  | (71)  ~ sdtlseqdt0(xp, xm)
% 121.81/89.28  | (72)  ! [v0] : ( ~ (sdtpldt0(xp, v0) = xn) |  ~ aNaturalNumber0(v0))
% 121.81/89.28  | (73)  ~ doDivides0(xr, all_0_4_4)
% 121.81/89.28  | (74)  ! [v0] :  ! [v1] : ( ~ (sdtasdt0(sz10, v0) = v1) |  ~ aNaturalNumber0(v0) | sdtasdt0(v0, sz10) = v0)
% 121.81/89.28  | (75) sdtpldt0(xn, all_0_1_1) = xp
% 121.81/89.28  | (76) doDivides0(xr, xk)
% 121.81/89.28  | (77) aNaturalNumber0(xp)
% 121.81/89.28  | (78)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 | v0 = sz00 |  ~ (sdtasdt0(v2, v0) = v3) |  ~ (sdtasdt0(v1, v0) = v3) |  ~ sdtlseqdt0(v1, v2) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0))
% 121.81/89.28  | (79) sdtsldt0(all_0_4_4, xp) = xk
% 121.81/89.28  | (80)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ isPrime0(v2) |  ~ iLess0(v4, all_0_5_5) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | doDivides0(v2, v1) |  ? [v5] :  ? [v6] : ((v6 = v0 & sdtasdt0(v2, v5) = v0 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 &  ~ doDivides0(v2, v5) &  ! [v7] : ( ~ (sdtasdt0(v2, v7) = v5) |  ~ aNaturalNumber0(v7)))))
% 121.81/89.28  | (81) sdtlseqdt0(xm, xp)
% 121.81/89.28  | (82)  ! [v0] : ( ~ (sdtpldt0(xp, v0) = xm) |  ~ aNaturalNumber0(v0))
% 121.81/89.28  | (83)  ! [v0] :  ! [v1] : (v1 = sz00 |  ~ doDivides0(v0, v1) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | sdtlseqdt0(v0, v1))
% 121.81/89.28  | (84)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (sdtpldt0(sz00, v0) = v1) |  ~ aNaturalNumber0(v0))
% 121.81/89.28  | (85)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ isPrime0(v2) |  ~ iLess0(v4, all_0_5_5) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | doDivides0(v2, v0) |  ? [v5] :  ? [v6] : ((v6 = v1 & sdtasdt0(v2, v5) = v1 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 &  ~ doDivides0(v2, v5) &  ! [v7] : ( ~ (sdtasdt0(v2, v7) = v5) |  ~ aNaturalNumber0(v7)))))
% 121.81/89.28  | (86)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (sdtmndt0(v1, v0) = v2) |  ~ (sdtpldt0(v0, v2) = v3) |  ~ sdtlseqdt0(v0, v1) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0))
% 121.81/89.28  | (87)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 | v0 = sz00 |  ~ (sdtasdt0(v2, v0) = v4) |  ~ (sdtasdt0(v1, v0) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] : ( ~ (v6 = v5) & sdtasdt0(v0, v2) = v6 & sdtasdt0(v0, v1) = v5))
% 121.81/89.28  | (88)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 |  ~ (sdtpldt0(v2, v0) = v4) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] : ( ~ (v6 = v4) &  ~ (v5 = v3) & sdtpldt0(v1, v0) = v6 & sdtpldt0(v0, v2) = v5))
% 121.81/89.28  | (89)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sdtpldt0(v1, v2) = v3) |  ~ doDivides0(v0, v2) |  ~ doDivides0(v0, v1) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | doDivides0(v0, v3))
% 121.81/89.28  | (90)  ! [v0] : (v0 = xp | v0 = sz10 |  ~ doDivides0(v0, xp) |  ~ aNaturalNumber0(v0))
% 121.81/89.28  | (91)  ~ sdtlseqdt0(xp, xn)
% 121.81/89.28  | (92) aNaturalNumber0(sz00)
% 121.81/89.28  | (93)  ! [v0] :  ! [v1] : (v0 = sz00 |  ~ (sdtpldt0(v0, v1) = sz00) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0))
% 121.81/89.28  | (94)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtasdt0(v1, v2) = v3) |  ~ (sdtasdt0(v0, v3) = v4) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] : (sdtasdt0(v5, v2) = v4 & sdtasdt0(v0, v1) = v5))
% 121.81/89.28  | (95)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (sdtpldt0(v1, v2) = v3) |  ~ sdtlseqdt0(v0, v1) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v4] :  ? [v5] :  ? [v6] : ( ~ (v6 = v3) &  ~ (v5 = v4) & sdtpldt0(v2, v1) = v5 & sdtpldt0(v2, v0) = v4 & sdtpldt0(v0, v2) = v6 & sdtlseqdt0(v6, v3) & sdtlseqdt0(v4, v5)))
% 121.81/89.28  | (96) sdtpldt0(xm, all_0_2_2) = xp
% 121.81/89.29  | (97) aNaturalNumber0(xk)
% 121.81/89.29  | (98) aNaturalNumber0(xn)
% 121.81/89.29  | (99)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 | v0 = sz00 |  ~ (sdtasdt0(v2, v0) = v4) |  ~ (sdtasdt0(v1, v0) = v3) |  ~ sdtlseqdt0(v1, v2) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] : ( ~ (v6 = v5) & sdtasdt0(v0, v2) = v6 & sdtasdt0(v0, v1) = v5 & sdtlseqdt0(v5, v6)))
% 121.81/89.29  | (100)  ~ (xp = xm)
% 121.81/89.29  | (101)  ! [v0] :  ! [v1] : (v1 = sz00 | v0 = sz00 |  ~ (sdtasdt0(v0, v1) = sz00) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0))
% 121.81/89.29  | (102)  ~ (sz10 = sz00)
% 121.81/89.29  | (103)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtpldt0(v0, v2) = v1) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | sdtlseqdt0(v0, v1))
% 121.81/89.29  | (104)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = sz10 | v2 = sz00 |  ~ (sdtpldt0(v3, v2) = v4) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ iLess0(v4, all_0_5_5) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | doDivides0(v2, v0) |  ? [v5] :  ? [v6] :  ? [v7] : ((v7 = v2 &  ~ (v5 = v2) &  ~ (v5 = sz10) & sdtasdt0(v5, v6) = v2 & doDivides0(v5, v2) & aNaturalNumber0(v6) & aNaturalNumber0(v5)) | (v6 = v1 & sdtasdt0(v2, v5) = v1 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 &  ~ doDivides0(v2, v5) &  ! [v8] : ( ~ (sdtasdt0(v2, v8) = v5) |  ~ aNaturalNumber0(v8)))))
% 121.81/89.29  | (105)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v0 = sz00 |  ~ (sdtsldt0(v1, v0) = v2) |  ~ (sdtasdt0(v0, v2) = v3) |  ~ doDivides0(v0, v1) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | aNaturalNumber0(v2))
% 121.81/89.29  | (106)  ! [v0] : (v0 = sz10 | v0 = sz00 |  ~ aNaturalNumber0(v0) |  ? [v1] : (isPrime0(v1) & doDivides0(v1, v0) & aNaturalNumber0(v1)))
% 121.81/89.29  | (107) isPrime0(xp)
% 121.81/89.29  | (108)  ! [v0] : (v0 = sz10 | v0 = sz00 |  ~ aNaturalNumber0(v0) | sdtlseqdt0(sz10, v0))
% 121.81/89.29  | (109)  ! [v0] :  ! [v1] : ( ~ doDivides0(v0, v1) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v2] : (sdtasdt0(v0, v2) = v1 & aNaturalNumber0(v2)))
% 121.81/89.29  | (110)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (sdtpldt0(v0, sz00) = v1) |  ~ aNaturalNumber0(v0))
% 121.81/89.29  | (111)  ~ isPrime0(sz10)
% 121.81/89.29  | (112)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtasdt0(v0, v3) = v4) |  ~ (sdtpldt0(v1, v2) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (sdtasdt0(v3, v0) = v7 & sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v2) = v6 & sdtasdt0(v0, v1) = v5 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v5, v6) = v4))
% 121.81/89.29  | (113)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | aNaturalNumber0(v2))
% 121.81/89.29  | (114)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 | v0 = sz00 |  ~ (sdtasdt0(v0, v2) = v3) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0))
% 121.81/89.29  | (115)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 | v0 = sz00 |  ~ (sdtasdt0(v0, v2) = v4) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ sdtlseqdt0(v1, v2) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] :  ? [v6] : ( ~ (v6 = v5) & sdtasdt0(v2, v0) = v6 & sdtasdt0(v1, v0) = v5 & sdtlseqdt0(v5, v6)))
% 121.81/89.29  | (116) aNaturalNumber0(sz10)
% 121.81/89.29  | (117)  ! [v0] : ( ~ aNaturalNumber0(v0) | sdtlseqdt0(v0, v0))
% 121.81/89.29  | (118)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (sdtasdt0(v0, sz10) = v1) |  ~ aNaturalNumber0(v0))
% 122.31/89.29  | (119)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ sdtlseqdt0(v1, v2) |  ~ sdtlseqdt0(v0, v1) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | sdtlseqdt0(v0, v2))
% 122.31/89.29  | (120)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (sdtasdt0(v3, v2) = v1) |  ~ (sdtasdt0(v3, v2) = v0))
% 122.31/89.29  | (121)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 | v0 = sz00 |  ~ (sdtasdt0(v2, v0) = v4) |  ~ (sdtasdt0(v1, v0) = v3) |  ~ sdtlseqdt0(v1, v2) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | sdtlseqdt0(v3, v4))
% 122.31/89.29  | (122)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (sdtpldt0(v2, v0) = v3) |  ~ sdtlseqdt0(v0, v1) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v4] :  ? [v5] :  ? [v6] : ( ~ (v6 = v5) &  ~ (v4 = v3) & sdtpldt0(v2, v1) = v4 & sdtpldt0(v1, v2) = v6 & sdtpldt0(v0, v2) = v5 & sdtlseqdt0(v5, v6) & sdtlseqdt0(v3, v4)))
% 122.31/89.29  | (123)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ (sdtpldt0(v0, v2) = v3) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0))
% 122.31/89.29  | (124)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (sdtsldt0(v3, v2) = v1) |  ~ (sdtsldt0(v3, v2) = v0))
% 122.31/89.30  | (125)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (sdtasdt0(v0, v2) = v4) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ (sdtpldt0(v3, v4) = v5) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (sdtasdt0(v6, v0) = v7 & sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v6) = v5 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v1, v2) = v6))
% 122.31/89.30  | (126)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v0 = sz00 |  ~ (sdtsldt0(v4, v0) = v5) |  ~ (sdtsldt0(v1, v0) = v2) |  ~ (sdtasdt0(v3, v1) = v4) |  ~ doDivides0(v0, v1) |  ~ aNaturalNumber0(v3) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | sdtasdt0(v3, v2) = v5)
% 122.31/89.30  | (127)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ isPrime0(v2) |  ~ iLess0(v4, all_0_5_5) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) | doDivides0(v2, v1) | doDivides0(v2, v0) |  ? [v5] : (sdtasdt0(v0, v1) = v5 &  ~ doDivides0(v2, v5) &  ! [v6] : ( ~ (sdtasdt0(v2, v6) = v5) |  ~ aNaturalNumber0(v6))))
% 122.31/89.30  | (128)  ~ (xr = sz00)
% 122.31/89.30  | (129)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtpldt0(v1, v2) = v3) |  ~ (sdtpldt0(v0, v3) = v4) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v5] : (sdtpldt0(v5, v2) = v4 & sdtpldt0(v0, v1) = v5))
% 122.31/89.30  | (130)  ~ (xk = sz10)
% 122.34/89.30  | (131) aNaturalNumber0(xm)
% 122.34/89.30  | (132)  ~ (xp = xn)
% 122.34/89.30  | (133)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ sdtlseqdt0(v1, v0) |  ~ sdtlseqdt0(v0, v1) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0))
% 122.34/89.30  | (134)  ! [v0] : (v0 = xr | v0 = sz10 |  ~ doDivides0(v0, xr) |  ~ aNaturalNumber0(v0))
% 122.34/89.30  | (135)  ! [v0] :  ! [v1] : (v0 = xp | v0 = sz10 |  ~ (sdtasdt0(v0, v1) = xp) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0))
% 122.34/89.30  | (136)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 | v0 = sz00 |  ~ (sdtasdt0(v0, v2) = v3) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ sdtlseqdt0(v1, v2) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0))
% 122.34/89.30  | (137)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (sdtpldt0(v0, v2) = v3) |  ~ sdtlseqdt0(v0, v1) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0) |  ? [v4] :  ? [v5] :  ? [v6] : ( ~ (v6 = v3) &  ~ (v5 = v4) & sdtpldt0(v2, v1) = v5 & sdtpldt0(v2, v0) = v4 & sdtpldt0(v1, v2) = v6 & sdtlseqdt0(v4, v5) & sdtlseqdt0(v3, v6)))
% 122.34/89.30  | (138)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 | v0 = sz00 |  ~ (sdtasdt0(v2, v0) = v3) |  ~ (sdtasdt0(v1, v0) = v3) |  ~ aNaturalNumber0(v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0))
% 122.34/89.30  | (139)  ! [v0] :  ! [v1] : (v0 = xr | v0 = sz10 |  ~ (sdtasdt0(v0, v1) = xr) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0))
% 122.34/89.30  |
% 122.34/89.30  | Instantiating formula (114) with all_0_4_4, all_0_0_0, xk, xp and discharging atoms sdtasdt0(xp, all_0_0_0) = all_0_4_4, sdtasdt0(xp, xk) = all_0_4_4, aNaturalNumber0(all_0_0_0), aNaturalNumber0(xk), aNaturalNumber0(xp), yields:
% 122.34/89.30  | (140) all_0_0_0 = xk | xp = sz00
% 122.34/89.30  |
% 122.34/89.30  | Instantiating formula (33) with all_0_0_0 and discharging atoms aNaturalNumber0(all_0_0_0), yields:
% 122.34/89.30  | (141)  ? [v0] : ( ~ (v0 = all_0_4_4) & sdtasdt0(xr, all_0_0_0) = v0)
% 122.34/89.30  |
% 122.34/89.30  | Instantiating formula (108) with xr and discharging atoms aNaturalNumber0(xr), yields:
% 122.34/89.30  | (142) xr = sz10 | xr = sz00 | sdtlseqdt0(sz10, xr)
% 122.34/89.30  |
% 122.34/89.30  | Instantiating formula (106) with xr and discharging atoms aNaturalNumber0(xr), yields:
% 122.34/89.30  | (143) xr = sz10 | xr = sz00 |  ? [v0] : (isPrime0(v0) & doDivides0(v0, xr) & aNaturalNumber0(v0))
% 122.34/89.30  |
% 122.34/89.30  | Instantiating formula (33) with xr and discharging atoms aNaturalNumber0(xr), yields:
% 122.34/89.30  | (144)  ? [v0] : ( ~ (v0 = all_0_4_4) & sdtasdt0(xr, xr) = v0)
% 122.34/89.30  |
% 122.34/89.30  | Instantiating formula (109) with xk, xr and discharging atoms doDivides0(xr, xk), aNaturalNumber0(xr), aNaturalNumber0(xk), yields:
% 122.34/89.30  | (145)  ? [v0] : (sdtasdt0(xr, v0) = xk & aNaturalNumber0(v0))
% 122.34/89.30  |
% 122.34/89.30  | Instantiating formula (108) with xk and discharging atoms aNaturalNumber0(xk), yields:
% 122.34/89.30  | (146) xk = sz10 | xk = sz00 | sdtlseqdt0(sz10, xk)
% 122.34/89.30  |
% 122.34/89.30  | Instantiating formula (33) with xk and discharging atoms aNaturalNumber0(xk), yields:
% 122.34/89.30  | (147)  ? [v0] : ( ~ (v0 = all_0_4_4) & sdtasdt0(xr, xk) = v0)
% 122.34/89.30  |
% 122.34/89.30  | Instantiating formula (94) with all_0_4_4, xk, all_0_3_3, xr, xp and discharging atoms sdtasdt0(xr, all_0_3_3) = xk, sdtasdt0(xp, xk) = all_0_4_4, aNaturalNumber0(all_0_3_3), aNaturalNumber0(xr), aNaturalNumber0(xp), yields:
% 122.34/89.30  | (148)  ? [v0] : (sdtasdt0(v0, all_0_3_3) = all_0_4_4 & sdtasdt0(xp, xr) = v0)
% 122.34/89.30  |
% 122.34/89.30  | Instantiating formula (38) with all_0_4_4, xp, all_0_0_0 and discharging atoms sdtasdt0(xp, all_0_0_0) = all_0_4_4, aNaturalNumber0(all_0_0_0), aNaturalNumber0(xp), yields:
% 122.34/89.30  | (149) sdtasdt0(all_0_0_0, xp) = all_0_4_4
% 122.34/89.30  |
% 122.34/89.30  | Instantiating formula (108) with xp and discharging atoms aNaturalNumber0(xp), yields:
% 122.34/89.30  | (150) xp = sz10 | xp = sz00 | sdtlseqdt0(sz10, xp)
% 122.34/89.30  |
% 122.34/89.30  | Instantiating formula (106) with xp and discharging atoms aNaturalNumber0(xp), yields:
% 122.34/89.30  | (151) xp = sz10 | xp = sz00 |  ? [v0] : (isPrime0(v0) & doDivides0(v0, xp) & aNaturalNumber0(v0))
% 122.34/89.30  |
% 122.34/89.30  | Instantiating formula (33) with xp and discharging atoms aNaturalNumber0(xp), yields:
% 122.34/89.30  | (152)  ? [v0] : ( ~ (v0 = all_0_4_4) & sdtasdt0(xr, xp) = v0)
% 122.34/89.30  |
% 122.34/89.30  | Instantiating formula (40) with all_0_4_4, xp, all_0_2_2, xm, all_0_0_0 and discharging atoms sdtasdt0(xp, all_0_0_0) = all_0_4_4, sdtpldt0(xm, all_0_2_2) = xp, aNaturalNumber0(all_0_0_0), aNaturalNumber0(all_0_2_2), aNaturalNumber0(xm), yields:
% 122.34/89.30  | (153)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (sdtasdt0(all_0_0_0, all_0_2_2) = v2 & sdtasdt0(all_0_0_0, xp) = v0 & sdtasdt0(all_0_0_0, xm) = v1 & sdtasdt0(all_0_2_2, all_0_0_0) = v4 & sdtasdt0(xm, all_0_0_0) = v3 & sdtpldt0(v3, v4) = all_0_4_4 & sdtpldt0(v1, v2) = v0)
% 122.34/89.31  |
% 122.34/89.31  | Instantiating formula (40) with all_0_4_4, xp, all_0_2_2, xm, xk and discharging atoms sdtasdt0(xp, xk) = all_0_4_4, sdtpldt0(xm, all_0_2_2) = xp, aNaturalNumber0(all_0_2_2), aNaturalNumber0(xk), aNaturalNumber0(xm), yields:
% 122.34/89.31  | (154)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (sdtasdt0(all_0_2_2, xk) = v4 & sdtasdt0(xk, all_0_2_2) = v2 & sdtasdt0(xk, xp) = v0 & sdtasdt0(xk, xm) = v1 & sdtasdt0(xm, xk) = v3 & sdtpldt0(v3, v4) = all_0_4_4 & sdtpldt0(v1, v2) = v0)
% 122.34/89.31  |
% 122.34/89.31  | Instantiating formula (2) with xp, xm and discharging atoms sdtlseqdt0(xm, xp), aNaturalNumber0(xp), aNaturalNumber0(xm), yields:
% 122.34/89.31  | (155)  ? [v0] : (sdtpldt0(xm, v0) = xp & aNaturalNumber0(v0))
% 122.34/89.31  |
% 122.34/89.31  | Instantiating formula (33) with xm and discharging atoms aNaturalNumber0(xm), yields:
% 122.34/89.31  | (156)  ? [v0] : ( ~ (v0 = all_0_4_4) & sdtasdt0(xr, xm) = v0)
% 122.34/89.31  |
% 122.34/89.31  | Instantiating formula (40) with all_0_4_4, xp, all_0_1_1, xn, all_0_0_0 and discharging atoms sdtasdt0(xp, all_0_0_0) = all_0_4_4, sdtpldt0(xn, all_0_1_1) = xp, aNaturalNumber0(all_0_0_0), aNaturalNumber0(all_0_1_1), aNaturalNumber0(xn), yields:
% 122.34/89.31  | (157)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (sdtasdt0(all_0_0_0, all_0_1_1) = v2 & sdtasdt0(all_0_0_0, xp) = v0 & sdtasdt0(all_0_0_0, xn) = v1 & sdtasdt0(all_0_1_1, all_0_0_0) = v4 & sdtasdt0(xn, all_0_0_0) = v3 & sdtpldt0(v3, v4) = all_0_4_4 & sdtpldt0(v1, v2) = v0)
% 122.34/89.31  |
% 122.34/89.31  | Instantiating formula (40) with all_0_4_4, xp, all_0_1_1, xn, xk and discharging atoms sdtasdt0(xp, xk) = all_0_4_4, sdtpldt0(xn, all_0_1_1) = xp, aNaturalNumber0(all_0_1_1), aNaturalNumber0(xk), aNaturalNumber0(xn), yields:
% 122.34/89.31  | (158)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (sdtasdt0(all_0_1_1, xk) = v4 & sdtasdt0(xk, all_0_1_1) = v2 & sdtasdt0(xk, xp) = v0 & sdtasdt0(xk, xn) = v1 & sdtasdt0(xn, xk) = v3 & sdtpldt0(v3, v4) = all_0_4_4 & sdtpldt0(v1, v2) = v0)
% 122.34/89.31  |
% 122.34/89.31  | Instantiating formula (113) with all_0_4_4, xm, xn and discharging atoms sdtasdt0(xn, xm) = all_0_4_4, aNaturalNumber0(xm), aNaturalNumber0(xn), yields:
% 122.34/89.31  | (159) aNaturalNumber0(all_0_4_4)
% 122.34/89.31  |
% 122.34/89.31  | Instantiating formula (2) with xp, xn and discharging atoms sdtlseqdt0(xn, xp), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 122.34/89.31  | (160)  ? [v0] : (sdtpldt0(xn, v0) = xp & aNaturalNumber0(v0))
% 122.34/89.31  |
% 122.34/89.31  | Instantiating formula (33) with xn and discharging atoms aNaturalNumber0(xn), yields:
% 122.34/89.31  | (161)  ? [v0] : ( ~ (v0 = all_0_4_4) & sdtasdt0(xr, xn) = v0)
% 122.34/89.31  |
% 122.34/89.31  | Instantiating formula (33) with sz10 and discharging atoms aNaturalNumber0(sz10), yields:
% 122.34/89.31  | (162)  ? [v0] : ( ~ (v0 = all_0_4_4) & sdtasdt0(xr, sz10) = v0)
% 122.34/89.31  |
% 122.34/89.31  | Instantiating formula (33) with sz00 and discharging atoms aNaturalNumber0(sz00), yields:
% 122.34/89.31  | (163)  ? [v0] : ( ~ (v0 = all_0_4_4) & sdtasdt0(xr, sz00) = v0)
% 122.34/89.31  |
% 122.34/89.31  | Instantiating (153) with all_11_0_8, all_11_1_9, all_11_2_10, all_11_3_11, all_11_4_12 yields:
% 122.34/89.31  | (164) sdtasdt0(all_0_0_0, all_0_2_2) = all_11_2_10 & sdtasdt0(all_0_0_0, xp) = all_11_4_12 & sdtasdt0(all_0_0_0, xm) = all_11_3_11 & sdtasdt0(all_0_2_2, all_0_0_0) = all_11_0_8 & sdtasdt0(xm, all_0_0_0) = all_11_1_9 & sdtpldt0(all_11_1_9, all_11_0_8) = all_0_4_4 & sdtpldt0(all_11_3_11, all_11_2_10) = all_11_4_12
% 122.34/89.31  |
% 122.34/89.31  | Applying alpha-rule on (164) yields:
% 122.34/89.31  | (165) sdtasdt0(all_0_0_0, xm) = all_11_3_11
% 122.34/89.31  | (166) sdtasdt0(all_0_0_0, xp) = all_11_4_12
% 122.34/89.31  | (167) sdtpldt0(all_11_1_9, all_11_0_8) = all_0_4_4
% 122.34/89.31  | (168) sdtasdt0(all_0_2_2, all_0_0_0) = all_11_0_8
% 122.34/89.31  | (169) sdtpldt0(all_11_3_11, all_11_2_10) = all_11_4_12
% 122.34/89.31  | (170) sdtasdt0(all_0_0_0, all_0_2_2) = all_11_2_10
% 122.34/89.31  | (171) sdtasdt0(xm, all_0_0_0) = all_11_1_9
% 122.34/89.31  |
% 122.34/89.31  | Instantiating (152) with all_13_0_13 yields:
% 122.34/89.31  | (172)  ~ (all_13_0_13 = all_0_4_4) & sdtasdt0(xr, xp) = all_13_0_13
% 122.34/89.31  |
% 122.34/89.31  | Applying alpha-rule on (172) yields:
% 122.34/89.31  | (173)  ~ (all_13_0_13 = all_0_4_4)
% 122.34/89.31  | (174) sdtasdt0(xr, xp) = all_13_0_13
% 122.34/89.31  |
% 122.34/89.31  | Instantiating (158) with all_17_0_15, all_17_1_16, all_17_2_17, all_17_3_18, all_17_4_19 yields:
% 122.34/89.31  | (175) sdtasdt0(all_0_1_1, xk) = all_17_0_15 & sdtasdt0(xk, all_0_1_1) = all_17_2_17 & sdtasdt0(xk, xp) = all_17_4_19 & sdtasdt0(xk, xn) = all_17_3_18 & sdtasdt0(xn, xk) = all_17_1_16 & sdtpldt0(all_17_1_16, all_17_0_15) = all_0_4_4 & sdtpldt0(all_17_3_18, all_17_2_17) = all_17_4_19
% 122.34/89.31  |
% 122.34/89.31  | Applying alpha-rule on (175) yields:
% 122.34/89.31  | (176) sdtasdt0(xn, xk) = all_17_1_16
% 122.34/89.31  | (177) sdtpldt0(all_17_3_18, all_17_2_17) = all_17_4_19
% 122.34/89.31  | (178) sdtasdt0(xk, all_0_1_1) = all_17_2_17
% 122.34/89.31  | (179) sdtasdt0(all_0_1_1, xk) = all_17_0_15
% 122.34/89.31  | (180) sdtasdt0(xk, xp) = all_17_4_19
% 122.34/89.31  | (181) sdtasdt0(xk, xn) = all_17_3_18
% 122.34/89.31  | (182) sdtpldt0(all_17_1_16, all_17_0_15) = all_0_4_4
% 122.34/89.31  |
% 122.34/89.31  | Instantiating (162) with all_23_0_22 yields:
% 122.34/89.31  | (183)  ~ (all_23_0_22 = all_0_4_4) & sdtasdt0(xr, sz10) = all_23_0_22
% 122.34/89.31  |
% 122.34/89.31  | Applying alpha-rule on (183) yields:
% 122.34/89.31  | (184)  ~ (all_23_0_22 = all_0_4_4)
% 122.34/89.31  | (185) sdtasdt0(xr, sz10) = all_23_0_22
% 122.34/89.31  |
% 122.34/89.31  | Instantiating (157) with all_25_0_23, all_25_1_24, all_25_2_25, all_25_3_26, all_25_4_27 yields:
% 122.34/89.31  | (186) sdtasdt0(all_0_0_0, all_0_1_1) = all_25_2_25 & sdtasdt0(all_0_0_0, xp) = all_25_4_27 & sdtasdt0(all_0_0_0, xn) = all_25_3_26 & sdtasdt0(all_0_1_1, all_0_0_0) = all_25_0_23 & sdtasdt0(xn, all_0_0_0) = all_25_1_24 & sdtpldt0(all_25_1_24, all_25_0_23) = all_0_4_4 & sdtpldt0(all_25_3_26, all_25_2_25) = all_25_4_27
% 122.34/89.31  |
% 122.34/89.31  | Applying alpha-rule on (186) yields:
% 122.42/89.31  | (187) sdtpldt0(all_25_3_26, all_25_2_25) = all_25_4_27
% 122.42/89.31  | (188) sdtasdt0(all_0_0_0, xn) = all_25_3_26
% 122.42/89.31  | (189) sdtasdt0(xn, all_0_0_0) = all_25_1_24
% 122.42/89.31  | (190) sdtpldt0(all_25_1_24, all_25_0_23) = all_0_4_4
% 122.42/89.31  | (191) sdtasdt0(all_0_0_0, xp) = all_25_4_27
% 122.42/89.31  | (192) sdtasdt0(all_0_1_1, all_0_0_0) = all_25_0_23
% 122.42/89.31  | (193) sdtasdt0(all_0_0_0, all_0_1_1) = all_25_2_25
% 122.42/89.31  |
% 122.42/89.31  | Instantiating (141) with all_27_0_28 yields:
% 122.42/89.31  | (194)  ~ (all_27_0_28 = all_0_4_4) & sdtasdt0(xr, all_0_0_0) = all_27_0_28
% 122.42/89.31  |
% 122.42/89.31  | Applying alpha-rule on (194) yields:
% 122.42/89.31  | (195)  ~ (all_27_0_28 = all_0_4_4)
% 122.42/89.31  | (196) sdtasdt0(xr, all_0_0_0) = all_27_0_28
% 122.42/89.31  |
% 122.42/89.31  | Instantiating (155) with all_29_0_29 yields:
% 122.42/89.31  | (197) sdtpldt0(xm, all_29_0_29) = xp & aNaturalNumber0(all_29_0_29)
% 122.42/89.31  |
% 122.42/89.31  | Applying alpha-rule on (197) yields:
% 122.42/89.31  | (198) sdtpldt0(xm, all_29_0_29) = xp
% 122.42/89.31  | (199) aNaturalNumber0(all_29_0_29)
% 122.42/89.31  |
% 122.42/89.31  | Instantiating (163) with all_31_0_30 yields:
% 122.42/89.31  | (200)  ~ (all_31_0_30 = all_0_4_4) & sdtasdt0(xr, sz00) = all_31_0_30
% 122.42/89.31  |
% 122.42/89.31  | Applying alpha-rule on (200) yields:
% 122.42/89.31  | (201)  ~ (all_31_0_30 = all_0_4_4)
% 122.42/89.32  | (202) sdtasdt0(xr, sz00) = all_31_0_30
% 122.42/89.32  |
% 122.42/89.32  | Instantiating (161) with all_33_0_31 yields:
% 122.42/89.32  | (203)  ~ (all_33_0_31 = all_0_4_4) & sdtasdt0(xr, xn) = all_33_0_31
% 122.42/89.32  |
% 122.42/89.32  | Applying alpha-rule on (203) yields:
% 122.42/89.32  | (204)  ~ (all_33_0_31 = all_0_4_4)
% 122.42/89.32  | (205) sdtasdt0(xr, xn) = all_33_0_31
% 122.42/89.32  |
% 122.42/89.32  | Instantiating (156) with all_35_0_32 yields:
% 122.42/89.32  | (206)  ~ (all_35_0_32 = all_0_4_4) & sdtasdt0(xr, xm) = all_35_0_32
% 122.42/89.32  |
% 122.42/89.32  | Applying alpha-rule on (206) yields:
% 122.42/89.32  | (207)  ~ (all_35_0_32 = all_0_4_4)
% 122.42/89.32  | (208) sdtasdt0(xr, xm) = all_35_0_32
% 122.42/89.32  |
% 122.42/89.32  | Instantiating (148) with all_37_0_33 yields:
% 122.42/89.32  | (209) sdtasdt0(all_37_0_33, all_0_3_3) = all_0_4_4 & sdtasdt0(xp, xr) = all_37_0_33
% 122.42/89.32  |
% 122.42/89.32  | Applying alpha-rule on (209) yields:
% 122.42/89.32  | (210) sdtasdt0(all_37_0_33, all_0_3_3) = all_0_4_4
% 122.42/89.32  | (211) sdtasdt0(xp, xr) = all_37_0_33
% 122.42/89.32  |
% 122.42/89.32  | Instantiating (147) with all_39_0_34 yields:
% 122.42/89.32  | (212)  ~ (all_39_0_34 = all_0_4_4) & sdtasdt0(xr, xk) = all_39_0_34
% 122.42/89.32  |
% 122.42/89.32  | Applying alpha-rule on (212) yields:
% 122.42/89.32  | (213)  ~ (all_39_0_34 = all_0_4_4)
% 122.42/89.32  | (214) sdtasdt0(xr, xk) = all_39_0_34
% 122.42/89.32  |
% 122.42/89.32  | Instantiating (160) with all_41_0_35 yields:
% 122.42/89.32  | (215) sdtpldt0(xn, all_41_0_35) = xp & aNaturalNumber0(all_41_0_35)
% 122.42/89.32  |
% 122.42/89.32  | Applying alpha-rule on (215) yields:
% 122.42/89.32  | (216) sdtpldt0(xn, all_41_0_35) = xp
% 122.42/89.32  | (217) aNaturalNumber0(all_41_0_35)
% 122.42/89.32  |
% 122.42/89.32  | Instantiating (154) with all_43_0_36, all_43_1_37, all_43_2_38, all_43_3_39, all_43_4_40 yields:
% 122.42/89.32  | (218) sdtasdt0(all_0_2_2, xk) = all_43_0_36 & sdtasdt0(xk, all_0_2_2) = all_43_2_38 & sdtasdt0(xk, xp) = all_43_4_40 & sdtasdt0(xk, xm) = all_43_3_39 & sdtasdt0(xm, xk) = all_43_1_37 & sdtpldt0(all_43_1_37, all_43_0_36) = all_0_4_4 & sdtpldt0(all_43_3_39, all_43_2_38) = all_43_4_40
% 122.42/89.32  |
% 122.42/89.32  | Applying alpha-rule on (218) yields:
% 122.42/89.32  | (219) sdtpldt0(all_43_1_37, all_43_0_36) = all_0_4_4
% 122.42/89.32  | (220) sdtasdt0(xk, all_0_2_2) = all_43_2_38
% 122.42/89.32  | (221) sdtasdt0(xk, xp) = all_43_4_40
% 122.42/89.32  | (222) sdtpldt0(all_43_3_39, all_43_2_38) = all_43_4_40
% 122.42/89.32  | (223) sdtasdt0(all_0_2_2, xk) = all_43_0_36
% 122.42/89.32  | (224) sdtasdt0(xm, xk) = all_43_1_37
% 122.42/89.32  | (225) sdtasdt0(xk, xm) = all_43_3_39
% 122.42/89.32  |
% 122.42/89.32  | Instantiating (145) with all_45_0_41 yields:
% 122.42/89.32  | (226) sdtasdt0(xr, all_45_0_41) = xk & aNaturalNumber0(all_45_0_41)
% 122.42/89.32  |
% 122.42/89.32  | Applying alpha-rule on (226) yields:
% 122.42/89.32  | (227) sdtasdt0(xr, all_45_0_41) = xk
% 122.42/89.32  | (228) aNaturalNumber0(all_45_0_41)
% 122.42/89.32  |
% 122.42/89.32  | Instantiating (144) with all_47_0_42 yields:
% 122.42/89.32  | (229)  ~ (all_47_0_42 = all_0_4_4) & sdtasdt0(xr, xr) = all_47_0_42
% 122.42/89.32  |
% 122.42/89.32  | Applying alpha-rule on (229) yields:
% 122.42/89.32  | (230)  ~ (all_47_0_42 = all_0_4_4)
% 122.42/89.32  | (231) sdtasdt0(xr, xr) = all_47_0_42
% 122.42/89.32  |
% 122.42/89.32  +-Applying beta-rule and splitting (150), into two cases.
% 122.42/89.32  |-Branch one:
% 122.42/89.32  | (232) sdtlseqdt0(sz10, xp)
% 122.42/89.32  |
% 122.42/89.32  	+-Applying beta-rule and splitting (140), into two cases.
% 122.42/89.32  	|-Branch one:
% 122.42/89.32  	| (233) xp = sz00
% 122.42/89.32  	|
% 122.42/89.32  		| Equations (233) can reduce 43 to:
% 122.42/89.32  		| (234) $false
% 122.42/89.32  		|
% 122.42/89.32  		|-The branch is then unsatisfiable
% 122.42/89.32  	|-Branch two:
% 122.42/89.32  	| (43)  ~ (xp = sz00)
% 122.42/89.32  	| (236) all_0_0_0 = xk
% 122.42/89.32  	|
% 122.42/89.32  		| From (236) and (191) follows:
% 122.42/89.32  		| (237) sdtasdt0(xk, xp) = all_25_4_27
% 122.42/89.32  		|
% 122.42/89.32  		| From (236) and (166) follows:
% 122.42/89.32  		| (238) sdtasdt0(xk, xp) = all_11_4_12
% 122.42/89.32  		|
% 122.42/89.32  		| From (236) and (149) follows:
% 122.42/89.32  		| (239) sdtasdt0(xk, xp) = all_0_4_4
% 122.42/89.32  		|
% 122.42/89.32  		| From (236) and (192) follows:
% 122.42/89.32  		| (240) sdtasdt0(all_0_1_1, xk) = all_25_0_23
% 122.42/89.32  		|
% 122.42/89.32  		| From (236) and (168) follows:
% 122.42/89.32  		| (241) sdtasdt0(all_0_2_2, xk) = all_11_0_8
% 122.42/89.32  		|
% 122.42/89.32  		| From (236) and (196) follows:
% 122.42/89.32  		| (242) sdtasdt0(xr, xk) = all_27_0_28
% 122.42/89.32  		|
% 122.42/89.32  		| From (236) and (10) follows:
% 122.42/89.32  		| (34) sdtasdt0(xp, xk) = all_0_4_4
% 122.42/89.32  		|
% 122.42/89.32  		| From (236) and (171) follows:
% 122.42/89.32  		| (244) sdtasdt0(xm, xk) = all_11_1_9
% 122.42/89.32  		|
% 122.42/89.32  		| From (236) and (189) follows:
% 122.42/89.32  		| (245) sdtasdt0(xn, xk) = all_25_1_24
% 122.42/89.32  		|
% 122.42/89.32  		| From (236) and (63) follows:
% 122.42/89.32  		| (97) aNaturalNumber0(xk)
% 122.42/89.32  		|
% 122.42/89.32  		+-Applying beta-rule and splitting (146), into two cases.
% 122.42/89.32  		|-Branch one:
% 122.42/89.32  		| (247) sdtlseqdt0(sz10, xk)
% 122.42/89.32  		|
% 122.42/89.32  			+-Applying beta-rule and splitting (142), into two cases.
% 122.42/89.32  			|-Branch one:
% 122.42/89.32  			| (248) sdtlseqdt0(sz10, xr)
% 122.42/89.32  			|
% 122.42/89.32  				+-Applying beta-rule and splitting (151), into two cases.
% 122.42/89.32  				|-Branch one:
% 122.42/89.32  				| (233) xp = sz00
% 122.42/89.32  				|
% 122.42/89.32  					| Equations (233) can reduce 43 to:
% 122.42/89.32  					| (234) $false
% 122.42/89.32  					|
% 122.42/89.32  					|-The branch is then unsatisfiable
% 122.42/89.32  				|-Branch two:
% 122.42/89.32  				| (43)  ~ (xp = sz00)
% 122.42/89.32  				| (252) xp = sz10 |  ? [v0] : (isPrime0(v0) & doDivides0(v0, xp) & aNaturalNumber0(v0))
% 122.42/89.32  				|
% 122.42/89.32  					+-Applying beta-rule and splitting (143), into two cases.
% 122.42/89.32  					|-Branch one:
% 122.42/89.32  					| (253) xr = sz00
% 122.42/89.32  					|
% 122.42/89.32  						| Equations (253) can reduce 128 to:
% 122.42/89.32  						| (234) $false
% 122.42/89.32  						|
% 122.42/89.32  						|-The branch is then unsatisfiable
% 122.42/89.32  					|-Branch two:
% 122.42/89.32  					| (128)  ~ (xr = sz00)
% 122.42/89.32  					| (256) xr = sz10 |  ? [v0] : (isPrime0(v0) & doDivides0(v0, xr) & aNaturalNumber0(v0))
% 122.42/89.32  					|
% 122.42/89.32  						| Instantiating formula (120) with all_0_1_1, xk, all_17_0_15, all_25_0_23 and discharging atoms sdtasdt0(all_0_1_1, xk) = all_25_0_23, sdtasdt0(all_0_1_1, xk) = all_17_0_15, yields:
% 122.42/89.32  						| (257) all_25_0_23 = all_17_0_15
% 122.42/89.32  						|
% 122.42/89.32  						| Instantiating formula (120) with all_0_2_2, xk, all_11_0_8, all_43_0_36 and discharging atoms sdtasdt0(all_0_2_2, xk) = all_43_0_36, sdtasdt0(all_0_2_2, xk) = all_11_0_8, yields:
% 122.42/89.32  						| (258) all_43_0_36 = all_11_0_8
% 122.42/89.32  						|
% 122.42/89.32  						| Instantiating formula (120) with xr, xk, all_27_0_28, all_39_0_34 and discharging atoms sdtasdt0(xr, xk) = all_39_0_34, sdtasdt0(xr, xk) = all_27_0_28, yields:
% 122.42/89.32  						| (259) all_39_0_34 = all_27_0_28
% 122.42/89.32  						|
% 122.42/89.32  						| Instantiating formula (118) with all_23_0_22, xr and discharging atoms sdtasdt0(xr, sz10) = all_23_0_22, aNaturalNumber0(xr), yields:
% 122.42/89.32  						| (260) all_23_0_22 = xr
% 122.42/89.32  						|
% 122.42/89.32  						| Instantiating formula (14) with all_31_0_30, xr and discharging atoms sdtasdt0(xr, sz00) = all_31_0_30, aNaturalNumber0(xr), yields:
% 122.42/89.32  						| (261) all_31_0_30 = sz00
% 122.42/89.32  						|
% 122.42/89.32  						| Instantiating formula (120) with xk, xp, all_25_4_27, all_43_4_40 and discharging atoms sdtasdt0(xk, xp) = all_43_4_40, sdtasdt0(xk, xp) = all_25_4_27, yields:
% 122.42/89.33  						| (262) all_43_4_40 = all_25_4_27
% 122.42/89.33  						|
% 122.42/89.33  						| Instantiating formula (120) with xk, xp, all_17_4_19, all_25_4_27 and discharging atoms sdtasdt0(xk, xp) = all_25_4_27, sdtasdt0(xk, xp) = all_17_4_19, yields:
% 122.42/89.33  						| (263) all_25_4_27 = all_17_4_19
% 122.42/89.33  						|
% 122.42/89.33  						| Instantiating formula (120) with xk, xp, all_11_4_12, all_17_4_19 and discharging atoms sdtasdt0(xk, xp) = all_17_4_19, sdtasdt0(xk, xp) = all_11_4_12, yields:
% 122.42/89.33  						| (264) all_17_4_19 = all_11_4_12
% 122.42/89.33  						|
% 122.42/89.33  						| Instantiating formula (120) with xk, xp, all_0_4_4, all_43_4_40 and discharging atoms sdtasdt0(xk, xp) = all_43_4_40, sdtasdt0(xk, xp) = all_0_4_4, yields:
% 122.42/89.33  						| (265) all_43_4_40 = all_0_4_4
% 122.42/89.33  						|
% 122.42/89.33  						| Instantiating formula (120) with xm, xk, all_11_1_9, all_43_1_37 and discharging atoms sdtasdt0(xm, xk) = all_43_1_37, sdtasdt0(xm, xk) = all_11_1_9, yields:
% 122.42/89.33  						| (266) all_43_1_37 = all_11_1_9
% 122.42/89.33  						|
% 122.42/89.33  						| Instantiating formula (120) with xn, xk, all_17_1_16, all_25_1_24 and discharging atoms sdtasdt0(xn, xk) = all_25_1_24, sdtasdt0(xn, xk) = all_17_1_16, yields:
% 122.42/89.33  						| (267) all_25_1_24 = all_17_1_16
% 122.42/89.33  						|
% 122.42/89.33  						| Instantiating formula (114) with xk, all_0_3_3, all_45_0_41, xr and discharging atoms sdtasdt0(xr, all_45_0_41) = xk, sdtasdt0(xr, all_0_3_3) = xk, aNaturalNumber0(all_45_0_41), aNaturalNumber0(all_0_3_3), aNaturalNumber0(xr), yields:
% 122.42/89.33  						| (268) all_45_0_41 = all_0_3_3 | xr = sz00
% 122.42/89.33  						|
% 122.42/89.33  						| Instantiating formula (123) with xp, all_0_1_1, all_41_0_35, xn and discharging atoms sdtpldt0(xn, all_41_0_35) = xp, sdtpldt0(xn, all_0_1_1) = xp, aNaturalNumber0(all_41_0_35), aNaturalNumber0(all_0_1_1), aNaturalNumber0(xn), yields:
% 122.42/89.33  						| (269) all_41_0_35 = all_0_1_1
% 122.42/89.33  						|
% 122.42/89.33  						| Instantiating formula (123) with xp, all_0_2_2, all_29_0_29, xm and discharging atoms sdtpldt0(xm, all_29_0_29) = xp, sdtpldt0(xm, all_0_2_2) = xp, aNaturalNumber0(all_29_0_29), aNaturalNumber0(all_0_2_2), aNaturalNumber0(xm), yields:
% 122.42/89.33  						| (270) all_29_0_29 = all_0_2_2
% 122.42/89.33  						|
% 122.42/89.33  						| Combining equations (262,265) yields a new equation:
% 122.42/89.33  						| (271) all_25_4_27 = all_0_4_4
% 122.42/89.33  						|
% 122.42/89.33  						| Simplifying 271 yields:
% 122.42/89.33  						| (272) all_25_4_27 = all_0_4_4
% 122.42/89.33  						|
% 122.42/89.33  						| Combining equations (263,272) yields a new equation:
% 122.42/89.33  						| (273) all_17_4_19 = all_0_4_4
% 122.42/89.33  						|
% 122.42/89.33  						| Simplifying 273 yields:
% 122.42/89.33  						| (274) all_17_4_19 = all_0_4_4
% 122.42/89.33  						|
% 122.42/89.33  						| Combining equations (264,274) yields a new equation:
% 122.42/89.33  						| (275) all_11_4_12 = all_0_4_4
% 122.42/89.33  						|
% 122.42/89.33  						| Simplifying 275 yields:
% 122.42/89.33  						| (276) all_11_4_12 = all_0_4_4
% 122.42/89.33  						|
% 122.42/89.33  						| From (257) and (240) follows:
% 122.42/89.33  						| (179) sdtasdt0(all_0_1_1, xk) = all_17_0_15
% 122.42/89.33  						|
% 122.42/89.33  						| From (258) and (223) follows:
% 122.42/89.33  						| (241) sdtasdt0(all_0_2_2, xk) = all_11_0_8
% 122.42/89.33  						|
% 122.42/89.33  						| From (259) and (214) follows:
% 122.42/89.33  						| (242) sdtasdt0(xr, xk) = all_27_0_28
% 122.42/89.33  						|
% 122.42/89.33  						| From (260) and (185) follows:
% 122.42/89.33  						| (280) sdtasdt0(xr, sz10) = xr
% 122.42/89.33  						|
% 122.42/89.33  						| From (261) and (202) follows:
% 122.42/89.33  						| (281) sdtasdt0(xr, sz00) = sz00
% 122.42/89.33  						|
% 122.42/89.33  						| From (276) and (238) follows:
% 122.42/89.33  						| (239) sdtasdt0(xk, xp) = all_0_4_4
% 122.42/89.33  						|
% 122.42/89.33  						| From (266) and (224) follows:
% 122.42/89.33  						| (244) sdtasdt0(xm, xk) = all_11_1_9
% 122.42/89.33  						|
% 122.42/89.33  						| From (267) and (245) follows:
% 122.42/89.33  						| (176) sdtasdt0(xn, xk) = all_17_1_16
% 122.42/89.33  						|
% 122.42/89.33  						| From (269) and (217) follows:
% 122.42/89.33  						| (23) aNaturalNumber0(all_0_1_1)
% 122.42/89.33  						|
% 122.42/89.33  						| From (270) and (199) follows:
% 122.42/89.33  						| (64) aNaturalNumber0(all_0_2_2)
% 122.42/89.33  						|
% 122.42/89.33  						+-Applying beta-rule and splitting (268), into two cases.
% 122.42/89.33  						|-Branch one:
% 122.42/89.33  						| (253) xr = sz00
% 122.42/89.33  						|
% 122.42/89.33  							| Equations (253) can reduce 128 to:
% 122.42/89.33  							| (234) $false
% 122.42/89.33  							|
% 122.42/89.33  							|-The branch is then unsatisfiable
% 122.42/89.33  						|-Branch two:
% 122.42/89.33  						| (128)  ~ (xr = sz00)
% 122.42/89.33  						| (290) all_45_0_41 = all_0_3_3
% 122.42/89.33  						|
% 122.42/89.33  							| Instantiating formula (115) with all_13_0_13, all_35_0_32, xp, xm, xr and discharging atoms sdtasdt0(xr, xp) = all_13_0_13, sdtasdt0(xr, xm) = all_35_0_32, sdtlseqdt0(xm, xp), aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(xm), yields:
% 122.42/89.33  							| (291) xr = sz00 | xp = xm |  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xr) = v1 & sdtasdt0(xm, xr) = v0 & sdtlseqdt0(v0, v1))
% 122.42/89.33  							|
% 122.42/89.33  							| Instantiating formula (66) with xr, all_47_0_42, sz10, xr, xr and discharging atoms sdtasdt0(xr, xr) = all_47_0_42, sdtasdt0(xr, sz10) = xr, aNaturalNumber0(xr), aNaturalNumber0(sz10), yields:
% 122.42/89.33  							| (292) xr = sz10 | xr = sz00 |  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xr, xr) = v0 & sdtasdt0(sz10, xr) = v1)
% 122.42/89.33  							|
% 122.42/89.33  							| Instantiating formula (49) with all_47_0_42, xr, xr, sz10, xr and discharging atoms sdtasdt0(xr, xr) = all_47_0_42, sdtasdt0(xr, sz10) = xr, aNaturalNumber0(xr), aNaturalNumber0(sz10), yields:
% 122.42/89.33  							| (293) xr = sz10 | xr = sz00 |  ? [v0] :  ? [v1] : ( ~ (v1 = all_47_0_42) &  ~ (v0 = xr) & sdtasdt0(xr, xr) = v0 & sdtasdt0(sz10, xr) = v1)
% 122.42/89.33  							|
% 122.42/89.33  							| Instantiating formula (66) with all_27_0_28, xr, xk, sz10, xr and discharging atoms sdtasdt0(xr, xk) = all_27_0_28, sdtasdt0(xr, sz10) = xr, aNaturalNumber0(xr), aNaturalNumber0(xk), aNaturalNumber0(sz10), yields:
% 122.42/89.33  							| (294) xr = sz00 | xk = sz10 |  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xr) = v1 & sdtasdt0(sz10, xr) = v0)
% 122.42/89.33  							|
% 122.42/89.33  							| Instantiating formula (66) with xr, all_27_0_28, sz10, xk, xr and discharging atoms sdtasdt0(xr, xk) = all_27_0_28, sdtasdt0(xr, sz10) = xr, aNaturalNumber0(xr), aNaturalNumber0(xk), aNaturalNumber0(sz10), yields:
% 122.42/89.33  							| (295) xr = sz00 | xk = sz10 |  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xr) = v0 & sdtasdt0(sz10, xr) = v1)
% 122.42/89.33  							|
% 122.42/89.33  							| Instantiating formula (66) with all_13_0_13, xr, xp, sz10, xr and discharging atoms sdtasdt0(xr, xp) = all_13_0_13, sdtasdt0(xr, sz10) = xr, aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(sz10), yields:
% 122.42/89.33  							| (296) xr = sz00 | xp = sz10 |  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xr) = v1 & sdtasdt0(sz10, xr) = v0)
% 122.42/89.33  							|
% 122.42/89.33  							| Instantiating formula (66) with xr, all_13_0_13, sz10, xp, xr and discharging atoms sdtasdt0(xr, xp) = all_13_0_13, sdtasdt0(xr, sz10) = xr, aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(sz10), yields:
% 122.42/89.33  							| (297) xr = sz00 | xp = sz10 |  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xr) = v0 & sdtasdt0(sz10, xr) = v1)
% 122.42/89.33  							|
% 122.42/89.33  							| Instantiating formula (66) with all_47_0_42, sz00, xr, sz00, xr and discharging atoms sdtasdt0(xr, xr) = all_47_0_42, sdtasdt0(xr, sz00) = sz00, aNaturalNumber0(xr), aNaturalNumber0(sz00), yields:
% 122.42/89.33  							| (298) xr = sz00 |  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xr, xr) = v1 & sdtasdt0(sz00, xr) = v0)
% 122.42/89.33  							|
% 122.42/89.33  							| Instantiating formula (66) with sz00, all_47_0_42, sz00, xr, xr and discharging atoms sdtasdt0(xr, xr) = all_47_0_42, sdtasdt0(xr, sz00) = sz00, aNaturalNumber0(xr), aNaturalNumber0(sz00), yields:
% 122.42/89.33  							| (299) xr = sz00 |  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xr, xr) = v0 & sdtasdt0(sz00, xr) = v1)
% 122.42/89.33  							|
% 122.42/89.33  							| Instantiating formula (49) with all_47_0_42, sz00, xr, sz00, xr and discharging atoms sdtasdt0(xr, xr) = all_47_0_42, sdtasdt0(xr, sz00) = sz00, aNaturalNumber0(xr), aNaturalNumber0(sz00), yields:
% 122.42/89.33  							| (300) xr = sz00 |  ? [v0] :  ? [v1] : ( ~ (v1 = all_47_0_42) &  ~ (v0 = sz00) & sdtasdt0(xr, xr) = v0 & sdtasdt0(sz00, xr) = v1)
% 122.42/89.33  							|
% 122.42/89.33  							| Instantiating formula (66) with all_13_0_13, sz00, xp, sz00, xr and discharging atoms sdtasdt0(xr, xp) = all_13_0_13, sdtasdt0(xr, sz00) = sz00, aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(sz00), yields:
% 122.42/89.33  							| (301) xr = sz00 | xp = sz00 |  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xr) = v1 & sdtasdt0(sz00, xr) = v0)
% 122.42/89.33  							|
% 122.42/89.33  							| Instantiating formula (66) with sz00, all_13_0_13, sz00, xp, xr and discharging atoms sdtasdt0(xr, xp) = all_13_0_13, sdtasdt0(xr, sz00) = sz00, aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(sz00), yields:
% 122.42/89.33  							| (302) xr = sz00 | xp = sz00 |  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xr) = v0 & sdtasdt0(sz00, xr) = v1)
% 122.42/89.33  							|
% 122.42/89.33  							| Instantiating formula (66) with xr, sz00, sz10, sz00, xr and discharging atoms sdtasdt0(xr, sz10) = xr, sdtasdt0(xr, sz00) = sz00, aNaturalNumber0(xr), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields:
% 122.42/89.33  							| (303) xr = sz00 | sz10 = sz00 |  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(sz10, xr) = v1 & sdtasdt0(sz00, xr) = v0)
% 122.42/89.33  							|
% 122.42/89.33  							| Instantiating formula (66) with sz00, xr, sz00, sz10, xr and discharging atoms sdtasdt0(xr, sz10) = xr, sdtasdt0(xr, sz00) = sz00, aNaturalNumber0(xr), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields:
% 122.42/89.33  							| (304) xr = sz00 | sz10 = sz00 |  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(sz10, xr) = v0 & sdtasdt0(sz00, xr) = v1)
% 122.42/89.33  							|
% 122.42/89.33  							| Instantiating formula (44) with all_37_0_33, all_35_0_32, xp, xm, xr and discharging atoms sdtasdt0(xr, xm) = all_35_0_32, sdtasdt0(xp, xr) = all_37_0_33, sdtlseqdt0(xm, xp), aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(xm), yields:
% 122.42/89.33  							| (305) xr = sz00 | xp = xm |  ? [v0] :  ? [v1] : ( ~ (v1 = all_37_0_33) &  ~ (v0 = all_35_0_32) & sdtasdt0(xr, xp) = v0 & sdtasdt0(xm, xr) = v1 & sdtlseqdt0(v1, all_37_0_33) & sdtlseqdt0(all_35_0_32, v0))
% 122.42/89.33  							|
% 122.42/89.33  							| Instantiating formula (49) with all_37_0_33, all_35_0_32, xp, xm, xr and discharging atoms sdtasdt0(xr, xm) = all_35_0_32, sdtasdt0(xp, xr) = all_37_0_33, aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(xm), yields:
% 122.42/89.33  							| (306) xr = sz00 | xp = xm |  ? [v0] :  ? [v1] : ( ~ (v1 = all_37_0_33) &  ~ (v0 = all_35_0_32) & sdtasdt0(xr, xp) = v0 & sdtasdt0(xm, xr) = v1)
% 122.42/89.33  							|
% 122.42/89.34  							| Instantiating formula (49) with all_37_0_33, all_33_0_31, xp, xn, xr and discharging atoms sdtasdt0(xr, xn) = all_33_0_31, sdtasdt0(xp, xr) = all_37_0_33, aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 122.42/89.34  							| (307) xr = sz00 | xp = xn |  ? [v0] :  ? [v1] : ( ~ (v1 = all_37_0_33) &  ~ (v0 = all_33_0_31) & sdtasdt0(xr, xp) = v0 & sdtasdt0(xn, xr) = v1)
% 122.42/89.34  							|
% 122.42/89.34  							| Instantiating formula (49) with all_37_0_33, xr, xp, sz10, xr and discharging atoms sdtasdt0(xr, sz10) = xr, sdtasdt0(xp, xr) = all_37_0_33, aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(sz10), yields:
% 122.42/89.34  							| (308) xr = sz00 | xp = sz10 |  ? [v0] :  ? [v1] : ( ~ (v1 = all_37_0_33) &  ~ (v0 = xr) & sdtasdt0(xr, xp) = v0 & sdtasdt0(sz10, xr) = v1)
% 122.42/89.34  							|
% 122.42/89.34  							| Instantiating formula (49) with all_37_0_33, sz00, xp, sz00, xr and discharging atoms sdtasdt0(xr, sz00) = sz00, sdtasdt0(xp, xr) = all_37_0_33, aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(sz00), yields:
% 122.42/89.34  							| (309) xr = sz00 | xp = sz00 |  ? [v0] :  ? [v1] : ( ~ (v1 = all_37_0_33) &  ~ (v0 = sz00) & sdtasdt0(xr, xp) = v0 & sdtasdt0(sz00, xr) = v1)
% 122.42/89.34  							|
% 122.42/89.34  							| Instantiating formula (44) with all_47_0_42, xr, xr, sz10, xr and discharging atoms sdtasdt0(xr, xr) = all_47_0_42, sdtasdt0(xr, sz10) = xr, sdtlseqdt0(sz10, xr), aNaturalNumber0(xr), aNaturalNumber0(sz10), yields:
% 122.42/89.34  							| (310) xr = sz10 | xr = sz00 |  ? [v0] :  ? [v1] : ( ~ (v1 = all_47_0_42) &  ~ (v0 = xr) & sdtasdt0(xr, xr) = v0 & sdtasdt0(sz10, xr) = v1 & sdtlseqdt0(v1, all_47_0_42) & sdtlseqdt0(xr, v0))
% 122.42/89.34  							|
% 122.42/89.34  							| Instantiating formula (115) with all_47_0_42, xr, xr, sz10, xr and discharging atoms sdtasdt0(xr, xr) = all_47_0_42, sdtasdt0(xr, sz10) = xr, sdtlseqdt0(sz10, xr), aNaturalNumber0(xr), aNaturalNumber0(sz10), yields:
% 122.42/89.34  							| (311) xr = sz10 | xr = sz00 |  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xr, xr) = v1 & sdtasdt0(sz10, xr) = v0 & sdtlseqdt0(v0, v1))
% 122.42/89.34  							|
% 122.42/89.34  							| Instantiating formula (115) with all_27_0_28, xr, xk, sz10, xr and discharging atoms sdtasdt0(xr, xk) = all_27_0_28, sdtasdt0(xr, sz10) = xr, sdtlseqdt0(sz10, xk), aNaturalNumber0(xr), aNaturalNumber0(xk), aNaturalNumber0(sz10), yields:
% 122.42/89.34  							| (312) xr = sz00 | xk = sz10 |  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xr) = v1 & sdtasdt0(sz10, xr) = v0 & sdtlseqdt0(v0, v1))
% 122.42/89.34  							|
% 122.42/89.34  							| Instantiating formula (115) with all_13_0_13, xr, xp, sz10, xr and discharging atoms sdtasdt0(xr, xp) = all_13_0_13, sdtasdt0(xr, sz10) = xr, sdtlseqdt0(sz10, xp), aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(sz10), yields:
% 122.42/89.34  							| (313) xr = sz00 | xp = sz10 |  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xr) = v1 & sdtasdt0(sz10, xr) = v0 & sdtlseqdt0(v0, v1))
% 122.42/89.34  							|
% 122.42/89.34  							| Instantiating formula (44) with all_37_0_33, xr, xp, sz10, xr and discharging atoms sdtasdt0(xr, sz10) = xr, sdtasdt0(xp, xr) = all_37_0_33, sdtlseqdt0(sz10, xp), aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(sz10), yields:
% 122.42/89.34  							| (314) xr = sz00 | xp = sz10 |  ? [v0] :  ? [v1] : ( ~ (v1 = all_37_0_33) &  ~ (v0 = xr) & sdtasdt0(xr, xp) = v0 & sdtasdt0(sz10, xr) = v1 & sdtlseqdt0(v1, all_37_0_33) & sdtlseqdt0(xr, v0))
% 122.42/89.34  							|
% 122.42/89.34  							| Instantiating formula (30) with all_0_4_4, xp, xk, all_0_4_4, xp and discharging atoms sdtsldt0(all_0_4_4, xp) = xk, sdtasdt0(xp, xk) = all_0_4_4, doDivides0(xp, all_0_4_4), aNaturalNumber0(all_0_4_4), aNaturalNumber0(xp), yields:
% 122.42/89.34  							| (315) xp = sz00 |  ? [v0] : (sdtsldt0(v0, xp) = all_0_4_4 & sdtasdt0(xp, all_0_4_4) = v0)
% 122.42/89.34  							|
% 122.42/89.34  							| Instantiating formula (30) with all_17_0_15, all_0_1_1, xk, all_0_4_4, xp and discharging atoms sdtsldt0(all_0_4_4, xp) = xk, sdtasdt0(all_0_1_1, xk) = all_17_0_15, doDivides0(xp, all_0_4_4), aNaturalNumber0(all_0_1_1), aNaturalNumber0(all_0_4_4), aNaturalNumber0(xp), yields:
% 122.42/89.34  							| (316) xp = sz00 |  ? [v0] : (sdtsldt0(v0, xp) = all_17_0_15 & sdtasdt0(all_0_1_1, all_0_4_4) = v0)
% 122.42/89.34  							|
% 122.42/89.34  							| Instantiating formula (30) with all_11_0_8, all_0_2_2, xk, all_0_4_4, xp and discharging atoms sdtsldt0(all_0_4_4, xp) = xk, sdtasdt0(all_0_2_2, xk) = all_11_0_8, doDivides0(xp, all_0_4_4), aNaturalNumber0(all_0_2_2), aNaturalNumber0(all_0_4_4), aNaturalNumber0(xp), yields:
% 122.42/89.34  							| (317) xp = sz00 |  ? [v0] : (sdtsldt0(v0, xp) = all_11_0_8 & sdtasdt0(all_0_2_2, all_0_4_4) = v0)
% 122.42/89.34  							|
% 122.42/89.34  							| Instantiating formula (30) with all_27_0_28, xr, xk, all_0_4_4, xp and discharging atoms sdtsldt0(all_0_4_4, xp) = xk, sdtasdt0(xr, xk) = all_27_0_28, doDivides0(xp, all_0_4_4), aNaturalNumber0(all_0_4_4), aNaturalNumber0(xr), aNaturalNumber0(xp), yields:
% 122.42/89.34  							| (318) xp = sz00 |  ? [v0] : (sdtsldt0(v0, xp) = all_27_0_28 & sdtasdt0(xr, all_0_4_4) = v0)
% 122.42/89.34  							|
% 122.42/89.34  							| Instantiating formula (30) with all_11_1_9, xm, xk, all_0_4_4, xp and discharging atoms sdtsldt0(all_0_4_4, xp) = xk, sdtasdt0(xm, xk) = all_11_1_9, doDivides0(xp, all_0_4_4), aNaturalNumber0(all_0_4_4), aNaturalNumber0(xp), aNaturalNumber0(xm), yields:
% 122.42/89.34  							| (319) xp = sz00 |  ? [v0] : (sdtsldt0(v0, xp) = all_11_1_9 & sdtasdt0(xm, all_0_4_4) = v0)
% 122.42/89.34  							|
% 122.42/89.34  							| Instantiating formula (30) with all_17_1_16, xn, xk, all_0_4_4, xp and discharging atoms sdtsldt0(all_0_4_4, xp) = xk, sdtasdt0(xn, xk) = all_17_1_16, doDivides0(xp, all_0_4_4), aNaturalNumber0(all_0_4_4), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 122.42/89.34  							| (320) xp = sz00 |  ? [v0] : (sdtsldt0(v0, xp) = all_17_1_16 & sdtasdt0(xn, all_0_4_4) = v0)
% 122.42/89.34  							|
% 122.42/89.34  							| Instantiating formula (13) with xp, all_0_4_4, xk and discharging atoms sdtasdt0(xk, xp) = all_0_4_4, aNaturalNumber0(all_0_4_4), aNaturalNumber0(xk), aNaturalNumber0(xp), yields:
% 122.42/89.34  							| (321) doDivides0(xk, all_0_4_4)
% 122.42/89.34  							|
% 122.42/89.34  							| Instantiating formula (109) with all_0_4_4, xp and discharging atoms doDivides0(xp, all_0_4_4), aNaturalNumber0(all_0_4_4), aNaturalNumber0(xp), yields:
% 122.42/89.34  							| (322)  ? [v0] : (sdtasdt0(xp, v0) = all_0_4_4 & aNaturalNumber0(v0))
% 122.42/89.34  							|
% 122.42/89.34  							| Instantiating (322) with all_203_0_90 yields:
% 122.42/89.34  							| (323) sdtasdt0(xp, all_203_0_90) = all_0_4_4 & aNaturalNumber0(all_203_0_90)
% 122.42/89.34  							|
% 122.42/89.34  							| Applying alpha-rule on (323) yields:
% 122.42/89.34  							| (324) sdtasdt0(xp, all_203_0_90) = all_0_4_4
% 122.42/89.34  							| (325) aNaturalNumber0(all_203_0_90)
% 122.42/89.34  							|
% 122.42/89.34  							+-Applying beta-rule and splitting (314), into two cases.
% 122.42/89.34  							|-Branch one:
% 122.42/89.34  							| (253) xr = sz00
% 122.42/89.34  							|
% 122.42/89.34  								| Equations (253) can reduce 128 to:
% 122.42/89.34  								| (234) $false
% 122.42/89.34  								|
% 122.42/89.34  								|-The branch is then unsatisfiable
% 122.42/89.34  							|-Branch two:
% 122.42/89.34  							| (128)  ~ (xr = sz00)
% 122.42/89.34  							| (329) xp = sz10 |  ? [v0] :  ? [v1] : ( ~ (v1 = all_37_0_33) &  ~ (v0 = xr) & sdtasdt0(xr, xp) = v0 & sdtasdt0(sz10, xr) = v1 & sdtlseqdt0(v1, all_37_0_33) & sdtlseqdt0(xr, v0))
% 122.42/89.34  							|
% 122.42/89.34  								+-Applying beta-rule and splitting (318), into two cases.
% 122.42/89.34  								|-Branch one:
% 122.42/89.34  								| (233) xp = sz00
% 122.42/89.34  								|
% 122.42/89.34  									| Equations (233) can reduce 43 to:
% 122.42/89.34  									| (234) $false
% 122.42/89.34  									|
% 122.42/89.34  									|-The branch is then unsatisfiable
% 122.42/89.34  								|-Branch two:
% 122.42/89.34  								| (43)  ~ (xp = sz00)
% 122.42/89.34  								| (333)  ? [v0] : (sdtsldt0(v0, xp) = all_27_0_28 & sdtasdt0(xr, all_0_4_4) = v0)
% 122.42/89.34  								|
% 122.42/89.34  									+-Applying beta-rule and splitting (319), into two cases.
% 122.42/89.34  									|-Branch one:
% 122.42/89.34  									| (233) xp = sz00
% 122.42/89.34  									|
% 122.42/89.34  										| Equations (233) can reduce 43 to:
% 122.42/89.34  										| (234) $false
% 122.42/89.34  										|
% 122.42/89.34  										|-The branch is then unsatisfiable
% 122.42/89.34  									|-Branch two:
% 122.42/89.34  									| (43)  ~ (xp = sz00)
% 122.42/89.34  									| (337)  ? [v0] : (sdtsldt0(v0, xp) = all_11_1_9 & sdtasdt0(xm, all_0_4_4) = v0)
% 122.42/89.34  									|
% 122.42/89.34  										+-Applying beta-rule and splitting (320), into two cases.
% 122.42/89.34  										|-Branch one:
% 122.42/89.34  										| (233) xp = sz00
% 122.42/89.34  										|
% 122.42/89.34  											| Equations (233) can reduce 43 to:
% 122.42/89.34  											| (234) $false
% 122.42/89.34  											|
% 122.42/89.34  											|-The branch is then unsatisfiable
% 122.42/89.34  										|-Branch two:
% 122.42/89.34  										| (43)  ~ (xp = sz00)
% 122.42/89.34  										| (341)  ? [v0] : (sdtsldt0(v0, xp) = all_17_1_16 & sdtasdt0(xn, all_0_4_4) = v0)
% 122.42/89.34  										|
% 122.42/89.34  											+-Applying beta-rule and splitting (317), into two cases.
% 122.42/89.34  											|-Branch one:
% 122.42/89.34  											| (233) xp = sz00
% 122.42/89.34  											|
% 122.42/89.34  												| Equations (233) can reduce 43 to:
% 122.42/89.34  												| (234) $false
% 122.42/89.34  												|
% 122.42/89.34  												|-The branch is then unsatisfiable
% 122.42/89.34  											|-Branch two:
% 122.42/89.34  											| (43)  ~ (xp = sz00)
% 122.42/89.34  											| (345)  ? [v0] : (sdtsldt0(v0, xp) = all_11_0_8 & sdtasdt0(all_0_2_2, all_0_4_4) = v0)
% 122.42/89.34  											|
% 122.42/89.34  												+-Applying beta-rule and splitting (291), into two cases.
% 122.42/89.34  												|-Branch one:
% 122.42/89.34  												| (253) xr = sz00
% 122.42/89.34  												|
% 122.42/89.34  													| Equations (253) can reduce 128 to:
% 122.42/89.34  													| (234) $false
% 122.42/89.34  													|
% 122.42/89.34  													|-The branch is then unsatisfiable
% 122.42/89.34  												|-Branch two:
% 122.42/89.34  												| (128)  ~ (xr = sz00)
% 122.42/89.34  												| (349) xp = xm |  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xr) = v1 & sdtasdt0(xm, xr) = v0 & sdtlseqdt0(v0, v1))
% 122.42/89.34  												|
% 122.42/89.34  													+-Applying beta-rule and splitting (309), into two cases.
% 122.42/89.34  													|-Branch one:
% 122.42/89.34  													| (253) xr = sz00
% 122.42/89.34  													|
% 122.42/89.34  														| Equations (253) can reduce 128 to:
% 122.42/89.34  														| (234) $false
% 122.42/89.34  														|
% 122.42/89.34  														|-The branch is then unsatisfiable
% 122.42/89.34  													|-Branch two:
% 122.42/89.34  													| (128)  ~ (xr = sz00)
% 122.42/89.34  													| (353) xp = sz00 |  ? [v0] :  ? [v1] : ( ~ (v1 = all_37_0_33) &  ~ (v0 = sz00) & sdtasdt0(xr, xp) = v0 & sdtasdt0(sz00, xr) = v1)
% 122.42/89.34  													|
% 122.42/89.34  														+-Applying beta-rule and splitting (353), into two cases.
% 122.42/89.34  														|-Branch one:
% 122.42/89.34  														| (233) xp = sz00
% 122.42/89.34  														|
% 122.42/89.34  															| Equations (233) can reduce 43 to:
% 122.42/89.34  															| (234) $false
% 122.42/89.34  															|
% 122.42/89.34  															|-The branch is then unsatisfiable
% 122.42/89.34  														|-Branch two:
% 122.42/89.34  														| (43)  ~ (xp = sz00)
% 122.42/89.34  														| (357)  ? [v0] :  ? [v1] : ( ~ (v1 = all_37_0_33) &  ~ (v0 = sz00) & sdtasdt0(xr, xp) = v0 & sdtasdt0(sz00, xr) = v1)
% 122.42/89.34  														|
% 122.42/89.34  															+-Applying beta-rule and splitting (308), into two cases.
% 122.42/89.34  															|-Branch one:
% 122.42/89.34  															| (253) xr = sz00
% 122.42/89.34  															|
% 122.42/89.34  																| Equations (253) can reduce 128 to:
% 122.42/89.34  																| (234) $false
% 122.42/89.34  																|
% 122.42/89.34  																|-The branch is then unsatisfiable
% 122.42/89.34  															|-Branch two:
% 122.42/89.34  															| (128)  ~ (xr = sz00)
% 122.42/89.34  															| (361) xp = sz10 |  ? [v0] :  ? [v1] : ( ~ (v1 = all_37_0_33) &  ~ (v0 = xr) & sdtasdt0(xr, xp) = v0 & sdtasdt0(sz10, xr) = v1)
% 122.42/89.34  															|
% 122.42/89.34  																+-Applying beta-rule and splitting (306), into two cases.
% 122.42/89.34  																|-Branch one:
% 122.42/89.34  																| (253) xr = sz00
% 122.42/89.34  																|
% 122.42/89.34  																	| Equations (253) can reduce 128 to:
% 122.42/89.34  																	| (234) $false
% 122.42/89.34  																	|
% 122.42/89.34  																	|-The branch is then unsatisfiable
% 122.42/89.34  																|-Branch two:
% 122.42/89.34  																| (128)  ~ (xr = sz00)
% 122.42/89.34  																| (365) xp = xm |  ? [v0] :  ? [v1] : ( ~ (v1 = all_37_0_33) &  ~ (v0 = all_35_0_32) & sdtasdt0(xr, xp) = v0 & sdtasdt0(xm, xr) = v1)
% 122.42/89.34  																|
% 122.42/89.34  																	+-Applying beta-rule and splitting (305), into two cases.
% 122.42/89.34  																	|-Branch one:
% 122.42/89.34  																	| (253) xr = sz00
% 122.42/89.34  																	|
% 122.42/89.34  																		| Equations (253) can reduce 128 to:
% 122.42/89.34  																		| (234) $false
% 122.42/89.34  																		|
% 122.42/89.34  																		|-The branch is then unsatisfiable
% 122.42/89.34  																	|-Branch two:
% 122.42/89.34  																	| (128)  ~ (xr = sz00)
% 122.42/89.34  																	| (369) xp = xm |  ? [v0] :  ? [v1] : ( ~ (v1 = all_37_0_33) &  ~ (v0 = all_35_0_32) & sdtasdt0(xr, xp) = v0 & sdtasdt0(xm, xr) = v1 & sdtlseqdt0(v1, all_37_0_33) & sdtlseqdt0(all_35_0_32, v0))
% 122.42/89.35  																	|
% 122.42/89.35  																		+-Applying beta-rule and splitting (310), into two cases.
% 122.42/89.35  																		|-Branch one:
% 122.42/89.35  																		| (253) xr = sz00
% 122.42/89.35  																		|
% 122.42/89.35  																			| Equations (253) can reduce 128 to:
% 122.42/89.35  																			| (234) $false
% 122.42/89.35  																			|
% 122.42/89.35  																			|-The branch is then unsatisfiable
% 122.42/89.35  																		|-Branch two:
% 122.42/89.35  																		| (128)  ~ (xr = sz00)
% 122.42/89.35  																		| (373) xr = sz10 |  ? [v0] :  ? [v1] : ( ~ (v1 = all_47_0_42) &  ~ (v0 = xr) & sdtasdt0(xr, xr) = v0 & sdtasdt0(sz10, xr) = v1 & sdtlseqdt0(v1, all_47_0_42) & sdtlseqdt0(xr, v0))
% 122.42/89.35  																		|
% 122.42/89.35  																			+-Applying beta-rule and splitting (315), into two cases.
% 122.42/89.35  																			|-Branch one:
% 122.42/89.35  																			| (233) xp = sz00
% 122.42/89.35  																			|
% 122.42/89.35  																				| Equations (233) can reduce 43 to:
% 122.42/89.35  																				| (234) $false
% 122.42/89.35  																				|
% 122.42/89.35  																				|-The branch is then unsatisfiable
% 122.42/89.35  																			|-Branch two:
% 122.42/89.35  																			| (43)  ~ (xp = sz00)
% 122.42/89.35  																			| (377)  ? [v0] : (sdtsldt0(v0, xp) = all_0_4_4 & sdtasdt0(xp, all_0_4_4) = v0)
% 122.42/89.35  																			|
% 122.42/89.35  																				+-Applying beta-rule and splitting (316), into two cases.
% 122.42/89.35  																				|-Branch one:
% 122.42/89.35  																				| (233) xp = sz00
% 122.42/89.35  																				|
% 122.42/89.35  																					| Equations (233) can reduce 43 to:
% 122.42/89.35  																					| (234) $false
% 122.42/89.35  																					|
% 122.42/89.35  																					|-The branch is then unsatisfiable
% 122.42/89.35  																				|-Branch two:
% 122.42/89.35  																				| (43)  ~ (xp = sz00)
% 122.42/89.35  																				| (381)  ? [v0] : (sdtsldt0(v0, xp) = all_17_0_15 & sdtasdt0(all_0_1_1, all_0_4_4) = v0)
% 122.42/89.35  																				|
% 122.42/89.35  																					+-Applying beta-rule and splitting (313), into two cases.
% 122.42/89.35  																					|-Branch one:
% 122.42/89.35  																					| (253) xr = sz00
% 122.42/89.35  																					|
% 122.42/89.35  																						| Equations (253) can reduce 128 to:
% 122.42/89.35  																						| (234) $false
% 122.42/89.35  																						|
% 122.42/89.35  																						|-The branch is then unsatisfiable
% 122.42/89.35  																					|-Branch two:
% 122.42/89.35  																					| (128)  ~ (xr = sz00)
% 122.42/89.35  																					| (385) xp = sz10 |  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xr) = v1 & sdtasdt0(sz10, xr) = v0 & sdtlseqdt0(v0, v1))
% 122.42/89.35  																					|
% 122.42/89.35  																						+-Applying beta-rule and splitting (312), into two cases.
% 122.42/89.35  																						|-Branch one:
% 122.42/89.35  																						| (253) xr = sz00
% 122.42/89.35  																						|
% 122.42/89.35  																							| Equations (253) can reduce 128 to:
% 122.42/89.35  																							| (234) $false
% 122.42/89.35  																							|
% 122.42/89.35  																							|-The branch is then unsatisfiable
% 122.42/89.35  																						|-Branch two:
% 122.42/89.35  																						| (128)  ~ (xr = sz00)
% 122.42/89.35  																						| (389) xk = sz10 |  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xr) = v1 & sdtasdt0(sz10, xr) = v0 & sdtlseqdt0(v0, v1))
% 122.42/89.35  																						|
% 122.42/89.35  																							+-Applying beta-rule and splitting (297), into two cases.
% 122.42/89.35  																							|-Branch one:
% 122.42/89.35  																							| (253) xr = sz00
% 122.42/89.35  																							|
% 122.42/89.35  																								| Equations (253) can reduce 128 to:
% 122.42/89.35  																								| (234) $false
% 122.42/89.35  																								|
% 122.42/89.35  																								|-The branch is then unsatisfiable
% 122.42/89.35  																							|-Branch two:
% 122.42/89.35  																							| (128)  ~ (xr = sz00)
% 122.42/89.35  																							| (393) xp = sz10 |  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xr) = v0 & sdtasdt0(sz10, xr) = v1)
% 122.42/89.35  																							|
% 122.42/89.35  																								+-Applying beta-rule and splitting (304), into two cases.
% 122.42/89.35  																								|-Branch one:
% 122.42/89.35  																								| (253) xr = sz00
% 122.42/89.35  																								|
% 122.42/89.35  																									| Equations (253) can reduce 128 to:
% 122.42/89.35  																									| (234) $false
% 122.42/89.35  																									|
% 122.42/89.35  																									|-The branch is then unsatisfiable
% 122.42/89.35  																								|-Branch two:
% 122.42/89.35  																								| (128)  ~ (xr = sz00)
% 122.42/89.35  																								| (397) sz10 = sz00 |  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(sz10, xr) = v0 & sdtasdt0(sz00, xr) = v1)
% 122.42/89.35  																								|
% 122.42/89.35  																									+-Applying beta-rule and splitting (296), into two cases.
% 122.42/89.35  																									|-Branch one:
% 122.42/89.35  																									| (253) xr = sz00
% 122.42/89.35  																									|
% 122.42/89.35  																										| Equations (253) can reduce 128 to:
% 122.42/89.35  																										| (234) $false
% 122.42/89.35  																										|
% 122.42/89.35  																										|-The branch is then unsatisfiable
% 122.42/89.35  																									|-Branch two:
% 122.42/89.35  																									| (128)  ~ (xr = sz00)
% 122.42/89.35  																									| (401) xp = sz10 |  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xr) = v1 & sdtasdt0(sz10, xr) = v0)
% 122.42/89.35  																									|
% 122.42/89.35  																										+-Applying beta-rule and splitting (311), into two cases.
% 122.42/89.35  																										|-Branch one:
% 122.42/89.35  																										| (253) xr = sz00
% 122.42/89.35  																										|
% 122.42/89.35  																											| Equations (253) can reduce 128 to:
% 122.42/89.35  																											| (234) $false
% 122.42/89.35  																											|
% 122.42/89.35  																											|-The branch is then unsatisfiable
% 122.42/89.35  																										|-Branch two:
% 122.42/89.35  																										| (128)  ~ (xr = sz00)
% 122.42/89.35  																										| (405) xr = sz10 |  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xr, xr) = v1 & sdtasdt0(sz10, xr) = v0 & sdtlseqdt0(v0, v1))
% 122.42/89.35  																										|
% 122.42/89.35  																											+-Applying beta-rule and splitting (300), into two cases.
% 122.42/89.35  																											|-Branch one:
% 122.42/89.35  																											| (253) xr = sz00
% 122.42/89.35  																											|
% 122.42/89.35  																												| Equations (253) can reduce 128 to:
% 122.42/89.35  																												| (234) $false
% 122.42/89.35  																												|
% 122.42/89.35  																												|-The branch is then unsatisfiable
% 122.42/89.35  																											|-Branch two:
% 122.42/89.35  																											| (128)  ~ (xr = sz00)
% 122.42/89.35  																											| (409)  ? [v0] :  ? [v1] : ( ~ (v1 = all_47_0_42) &  ~ (v0 = sz00) & sdtasdt0(xr, xr) = v0 & sdtasdt0(sz00, xr) = v1)
% 122.42/89.35  																											|
% 122.42/89.35  																												+-Applying beta-rule and splitting (293), into two cases.
% 122.42/89.35  																												|-Branch one:
% 122.42/89.35  																												| (253) xr = sz00
% 122.42/89.35  																												|
% 122.42/89.35  																													| Equations (253) can reduce 128 to:
% 122.42/89.35  																													| (234) $false
% 122.42/89.35  																													|
% 122.42/89.35  																													|-The branch is then unsatisfiable
% 122.42/89.35  																												|-Branch two:
% 122.42/89.35  																												| (128)  ~ (xr = sz00)
% 122.42/89.35  																												| (413) xr = sz10 |  ? [v0] :  ? [v1] : ( ~ (v1 = all_47_0_42) &  ~ (v0 = xr) & sdtasdt0(xr, xr) = v0 & sdtasdt0(sz10, xr) = v1)
% 122.42/89.35  																												|
% 122.42/89.35  																													+-Applying beta-rule and splitting (295), into two cases.
% 122.42/89.35  																													|-Branch one:
% 122.42/89.35  																													| (253) xr = sz00
% 122.42/89.35  																													|
% 122.42/89.35  																														| Equations (253) can reduce 128 to:
% 122.42/89.35  																														| (234) $false
% 122.42/89.35  																														|
% 122.42/89.35  																														|-The branch is then unsatisfiable
% 122.42/89.35  																													|-Branch two:
% 122.42/89.35  																													| (128)  ~ (xr = sz00)
% 122.42/89.35  																													| (417) xk = sz10 |  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xr) = v0 & sdtasdt0(sz10, xr) = v1)
% 122.42/89.35  																													|
% 122.42/89.35  																														+-Applying beta-rule and splitting (303), into two cases.
% 122.42/89.35  																														|-Branch one:
% 122.42/89.35  																														| (253) xr = sz00
% 122.42/89.35  																														|
% 122.42/89.35  																															| Equations (253) can reduce 128 to:
% 122.42/89.35  																															| (234) $false
% 122.42/89.35  																															|
% 122.42/89.35  																															|-The branch is then unsatisfiable
% 122.42/89.35  																														|-Branch two:
% 122.42/89.35  																														| (128)  ~ (xr = sz00)
% 122.42/89.35  																														| (421) sz10 = sz00 |  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(sz10, xr) = v1 & sdtasdt0(sz00, xr) = v0)
% 122.42/89.35  																														|
% 122.42/89.35  																															+-Applying beta-rule and splitting (298), into two cases.
% 122.42/89.35  																															|-Branch one:
% 122.42/89.35  																															| (253) xr = sz00
% 122.42/89.35  																															|
% 122.42/89.35  																																| Equations (253) can reduce 128 to:
% 122.42/89.35  																																| (234) $false
% 122.42/89.35  																																|
% 122.42/89.35  																																|-The branch is then unsatisfiable
% 122.42/89.35  																															|-Branch two:
% 122.42/89.35  																															| (128)  ~ (xr = sz00)
% 122.42/89.35  																															| (425)  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xr, xr) = v1 & sdtasdt0(sz00, xr) = v0)
% 122.42/89.35  																															|
% 122.42/89.35  																																+-Applying beta-rule and splitting (307), into two cases.
% 122.42/89.35  																																|-Branch one:
% 122.42/89.35  																																| (253) xr = sz00
% 122.42/89.35  																																|
% 122.42/89.35  																																	| Equations (253) can reduce 128 to:
% 122.42/89.35  																																	| (234) $false
% 122.42/89.35  																																	|
% 122.42/89.35  																																	|-The branch is then unsatisfiable
% 122.42/89.35  																																|-Branch two:
% 122.42/89.35  																																| (128)  ~ (xr = sz00)
% 122.42/89.35  																																| (429) xp = xn |  ? [v0] :  ? [v1] : ( ~ (v1 = all_37_0_33) &  ~ (v0 = all_33_0_31) & sdtasdt0(xr, xp) = v0 & sdtasdt0(xn, xr) = v1)
% 122.42/89.35  																																|
% 122.42/89.35  																																	+-Applying beta-rule and splitting (299), into two cases.
% 122.42/89.35  																																	|-Branch one:
% 122.42/89.35  																																	| (253) xr = sz00
% 122.42/89.35  																																	|
% 122.42/89.35  																																		| Equations (253) can reduce 128 to:
% 122.42/89.35  																																		| (234) $false
% 122.42/89.35  																																		|
% 122.42/89.35  																																		|-The branch is then unsatisfiable
% 122.42/89.35  																																	|-Branch two:
% 122.42/89.35  																																	| (128)  ~ (xr = sz00)
% 122.42/89.35  																																	| (433)  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xr, xr) = v0 & sdtasdt0(sz00, xr) = v1)
% 122.42/89.35  																																	|
% 122.42/89.35  																																		+-Applying beta-rule and splitting (292), into two cases.
% 122.42/89.35  																																		|-Branch one:
% 122.42/89.35  																																		| (253) xr = sz00
% 122.42/89.35  																																		|
% 122.42/89.35  																																			| Equations (253) can reduce 128 to:
% 122.42/89.35  																																			| (234) $false
% 122.42/89.35  																																			|
% 122.42/89.35  																																			|-The branch is then unsatisfiable
% 122.42/89.35  																																		|-Branch two:
% 122.42/89.35  																																		| (128)  ~ (xr = sz00)
% 122.42/89.35  																																		| (437) xr = sz10 |  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xr, xr) = v0 & sdtasdt0(sz10, xr) = v1)
% 122.42/89.35  																																		|
% 122.42/89.35  																																			+-Applying beta-rule and splitting (294), into two cases.
% 122.42/89.35  																																			|-Branch one:
% 122.42/89.35  																																			| (253) xr = sz00
% 122.42/89.35  																																			|
% 122.42/89.35  																																				| Equations (253) can reduce 128 to:
% 122.42/89.35  																																				| (234) $false
% 122.42/89.35  																																				|
% 122.42/89.35  																																				|-The branch is then unsatisfiable
% 122.42/89.35  																																			|-Branch two:
% 122.42/89.35  																																			| (128)  ~ (xr = sz00)
% 122.42/89.35  																																			| (441) xk = sz10 |  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xr) = v1 & sdtasdt0(sz10, xr) = v0)
% 122.42/89.35  																																			|
% 122.42/89.35  																																				+-Applying beta-rule and splitting (302), into two cases.
% 122.42/89.35  																																				|-Branch one:
% 122.42/89.35  																																				| (253) xr = sz00
% 122.42/89.35  																																				|
% 122.42/89.35  																																					| Equations (253) can reduce 128 to:
% 122.42/89.35  																																					| (234) $false
% 122.42/89.35  																																					|
% 122.42/89.35  																																					|-The branch is then unsatisfiable
% 122.42/89.35  																																				|-Branch two:
% 122.42/89.35  																																				| (128)  ~ (xr = sz00)
% 122.42/89.35  																																				| (445) xp = sz00 |  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xr) = v0 & sdtasdt0(sz00, xr) = v1)
% 122.42/89.35  																																				|
% 122.42/89.35  																																					+-Applying beta-rule and splitting (301), into two cases.
% 122.42/89.35  																																					|-Branch one:
% 122.42/89.35  																																					| (253) xr = sz00
% 122.42/89.35  																																					|
% 122.42/89.35  																																						| Equations (253) can reduce 128 to:
% 122.42/89.35  																																						| (234) $false
% 122.42/89.35  																																						|
% 122.42/89.35  																																						|-The branch is then unsatisfiable
% 122.42/89.35  																																					|-Branch two:
% 122.42/89.35  																																					| (128)  ~ (xr = sz00)
% 122.42/89.35  																																					| (449) xp = sz00 |  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xr) = v1 & sdtasdt0(sz00, xr) = v0)
% 122.42/89.35  																																					|
% 122.42/89.35  																																						+-Applying beta-rule and splitting (449), into two cases.
% 122.42/89.35  																																						|-Branch one:
% 122.42/89.35  																																						| (233) xp = sz00
% 122.42/89.35  																																						|
% 122.42/89.35  																																							| Equations (233) can reduce 43 to:
% 122.42/89.35  																																							| (234) $false
% 122.42/89.35  																																							|
% 122.42/89.35  																																							|-The branch is then unsatisfiable
% 122.42/89.35  																																						|-Branch two:
% 122.42/89.35  																																						| (43)  ~ (xp = sz00)
% 122.42/89.35  																																						| (453)  ? [v0] :  ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xr) = v1 & sdtasdt0(sz00, xr) = v0)
% 122.42/89.35  																																						|
% 122.42/89.35  																																							| Instantiating formula (114) with all_0_4_4, xk, all_203_0_90, xp and discharging atoms sdtasdt0(xp, all_203_0_90) = all_0_4_4, sdtasdt0(xp, xk) = all_0_4_4, aNaturalNumber0(all_203_0_90), aNaturalNumber0(xk), aNaturalNumber0(xp), yields:
% 122.42/89.35  																																							| (454) all_203_0_90 = xk | xp = sz00
% 122.42/89.35  																																							|
% 122.42/89.35  																																							+-Applying beta-rule and splitting (454), into two cases.
% 122.42/89.35  																																							|-Branch one:
% 122.42/89.35  																																							| (233) xp = sz00
% 122.42/89.35  																																							|
% 122.42/89.35  																																								| Equations (233) can reduce 43 to:
% 122.42/89.35  																																								| (234) $false
% 122.42/89.35  																																								|
% 122.42/89.35  																																								|-The branch is then unsatisfiable
% 122.42/89.35  																																							|-Branch two:
% 122.42/89.35  																																							| (43)  ~ (xp = sz00)
% 122.42/89.35  																																							| (458) all_203_0_90 = xk
% 122.42/89.35  																																							|
% 122.42/89.35  																																								| From (458) and (325) follows:
% 122.42/89.35  																																								| (97) aNaturalNumber0(xk)
% 122.42/89.35  																																								|
% 122.42/89.35  																																								| Instantiating formula (42) with all_0_4_4, xk, xr and discharging atoms doDivides0(xr, xk), doDivides0(xk, all_0_4_4), aNaturalNumber0(all_0_4_4), aNaturalNumber0(xr), aNaturalNumber0(xk),  ~ doDivides0(xr, all_0_4_4), yields:
% 122.42/89.35  																																								| (460) $false
% 122.42/89.35  																																								|
% 122.42/89.35  																																								|-The branch is then unsatisfiable
% 122.42/89.36  			|-Branch two:
% 122.42/89.36  			| (461)  ~ sdtlseqdt0(sz10, xr)
% 122.42/89.36  			| (462) xr = sz10 | xr = sz00
% 122.42/89.36  			|
% 122.42/89.36  				+-Applying beta-rule and splitting (462), into two cases.
% 122.42/89.36  				|-Branch one:
% 122.42/89.36  				| (253) xr = sz00
% 122.42/89.36  				|
% 122.42/89.36  					| Equations (253) can reduce 128 to:
% 122.42/89.36  					| (234) $false
% 122.42/89.36  					|
% 122.42/89.36  					|-The branch is then unsatisfiable
% 122.42/89.36  				|-Branch two:
% 122.42/89.36  				| (128)  ~ (xr = sz00)
% 122.42/89.36  				| (466) xr = sz10
% 122.42/89.36  				|
% 122.42/89.36  					| Equations (466) can reduce 70 to:
% 122.42/89.36  					| (234) $false
% 122.42/89.36  					|
% 122.42/89.36  					|-The branch is then unsatisfiable
% 122.42/89.36  		|-Branch two:
% 122.42/89.36  		| (468)  ~ sdtlseqdt0(sz10, xk)
% 122.42/89.36  		| (469) xk = sz10 | xk = sz00
% 122.42/89.36  		|
% 122.42/89.36  			+-Applying beta-rule and splitting (469), into two cases.
% 122.42/89.36  			|-Branch one:
% 122.42/89.36  			| (470) xk = sz00
% 122.42/89.36  			|
% 122.42/89.36  				| Equations (470) can reduce 67 to:
% 122.42/89.36  				| (234) $false
% 122.42/89.36  				|
% 122.42/89.36  				|-The branch is then unsatisfiable
% 122.42/89.36  			|-Branch two:
% 122.42/89.36  			| (67)  ~ (xk = sz00)
% 122.42/89.36  			| (473) xk = sz10
% 122.42/89.36  			|
% 122.42/89.36  				| Equations (473) can reduce 130 to:
% 122.42/89.36  				| (234) $false
% 122.42/89.36  				|
% 122.42/89.36  				|-The branch is then unsatisfiable
% 122.42/89.36  |-Branch two:
% 122.42/89.36  | (475)  ~ sdtlseqdt0(sz10, xp)
% 122.42/89.36  | (476) xp = sz10 | xp = sz00
% 122.42/89.36  |
% 122.42/89.36  	+-Applying beta-rule and splitting (476), into two cases.
% 122.42/89.36  	|-Branch one:
% 122.42/89.36  	| (233) xp = sz00
% 122.42/89.36  	|
% 122.42/89.36  		| Equations (233) can reduce 43 to:
% 122.42/89.36  		| (234) $false
% 122.42/89.36  		|
% 122.42/89.36  		|-The branch is then unsatisfiable
% 122.42/89.36  	|-Branch two:
% 122.42/89.36  	| (43)  ~ (xp = sz00)
% 122.42/89.36  	| (480) xp = sz10
% 122.42/89.36  	|
% 122.42/89.36  		| Equations (480) can reduce 29 to:
% 122.42/89.36  		| (234) $false
% 122.42/89.36  		|
% 122.42/89.36  		|-The branch is then unsatisfiable
% 122.42/89.36  % SZS output end Proof for theBenchmark
% 122.42/89.36  
% 122.42/89.36  88738ms
%------------------------------------------------------------------------------