%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : RNG055+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n024.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 20:25:12 EDT 2022

% Result   : Theorem 13.05s 4.44s
% Output   : Proof 24.53s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : RNG055+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : ePrincess-casc -timeout=%d %s
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon May 30 07:55:36 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.19/0.60          ____       _                          
% 0.19/0.60    ___  / __ \_____(_)___  ________  __________
% 0.19/0.60   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.60  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.19/0.60  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.19/0.60  
% 0.19/0.60  A Theorem Prover for First-Order Logic
% 0.19/0.60  (ePrincess v.1.0)
% 0.19/0.60  
% 0.19/0.60  (c) Philipp Rümmer, 2009-2015
% 0.19/0.60  (c) Peter Backeman, 2014-2015
% 0.19/0.60  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.60  Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.60  Bug reports to peter@backeman.se
% 0.19/0.60  
% 0.19/0.60  For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.60  
% 0.19/0.60  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.65  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.89/1.02  Prover 0: Preprocessing ...
% 3.81/1.55  Prover 0: Constructing countermodel ...
% 13.05/4.44  Prover 0: proved (3791ms)
% 13.05/4.44  
% 13.05/4.44  No countermodel exists, formula is valid
% 13.05/4.44  % SZS status Theorem for theBenchmark
% 13.05/4.44  
% 13.05/4.44  Generating proof ... found it (size 227)
% 23.80/8.18  
% 23.80/8.18  % SZS output start Proof for theBenchmark
% 23.80/8.19  Assumed formulas after preprocessing and simplification: 
% 23.80/8.19  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : ( ~ (v8 = v6) &  ~ (v1 = sz00) & sdtasasdt0(xq, xq) = xD & sdtasasdt0(xp, xq) = xE & sdtasasdt0(xp, xp) = xC & sziznziztdt0(xt) = xq & sziznziztdt0(xs) = xp & sdtlbdtrb0(xt, v1) = xB & sdtlbdtrb0(xs, v1) = xA & aDimensionOf0(xq) = v3 & aDimensionOf0(xp) = v2 & aDimensionOf0(xt) = v1 & aDimensionOf0(xs) = v1 & smndt0(sz0z00) = v0 & sdtasdt0(v7, v4) = v8 & sdtasdt0(xP, xP) = v6 & sdtasdt0(xR, xS) = xN & sdtasdt0(xH, xH) = v7 & sdtasdt0(xF, xD) = xS & sdtasdt0(xE, xH) = xP & sdtasdt0(xE, xE) = v4 & sdtasdt0(xC, xG) = xR & sdtasdt0(xC, xD) = v5 & sdtasdt0(xB, xB) = xG & sdtasdt0(xA, xB) = xH & sdtasdt0(xA, xA) = xF & szszuzczcdt0(v3) = v1 & szszuzczcdt0(v2) = v1 & aVector0(xq) & aVector0(xp) & aVector0(xt) & aVector0(xs) & sdtlseqdt0(v4, v5) & aScalar0(xN) & aScalar0(xS) & aScalar0(xP) & aScalar0(xR) & aScalar0(xH) & aScalar0(xG) & aScalar0(xF) & aScalar0(xE) & aScalar0(xD) & aScalar0(xC) & aScalar0(xB) & aScalar0(xA) & aScalar0(sz0z00) & aNaturalNumber0(sz00) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : ( ~ (sdtasdt0(v10, v12) = v17) |  ~ (sdtasdt0(v10, v11) = v16) |  ~ (sdtasdt0(v9, v12) = v14) |  ~ (sdtasdt0(v9, v11) = v13) |  ~ (sdtpldt0(v16, v17) = v18) |  ~ (sdtpldt0(v15, v18) = v19) |  ~ (sdtpldt0(v13, v14) = v15) |  ~ aScalar0(v12) |  ~ aScalar0(v11) |  ~ aScalar0(v10) |  ~ aScalar0(v9) |  ? [v20] :  ? [v21] : (sdtasdt0(v20, v21) = v19 & sdtpldt0(v11, v12) = v21 & sdtpldt0(v9, v10) = v20)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] : (v11 = sz00 |  ~ (sdtasasdt0(v12, v13) = v14) |  ~ (sziznziztdt0(v10) = v13) |  ~ (sziznziztdt0(v9) = v12) |  ~ (sdtlbdtrb0(v10, v11) = v16) |  ~ (sdtlbdtrb0(v9, v11) = v15) |  ~ (aDimensionOf0(v10) = v11) |  ~ (aDimensionOf0(v9) = v11) |  ~ (sdtasdt0(v15, v16) = v17) |  ~ (sdtpldt0(v14, v17) = v18) |  ~ aVector0(v10) |  ~ aVector0(v9) | sdtasasdt0(v9, v10) = v18) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (sdtasdt0(v13, v14) = v15) |  ~ (sdtpldt0(v11, v12) = v14) |  ~ (sdtpldt0(v9, v10) = v13) |  ~ aScalar0(v12) |  ~ aScalar0(v11) |  ~ aScalar0(v10) |  ~ aScalar0(v9) |  ? [v16] :  ? [v17] :  ? [v18] :  ? [v19] :  ? [v20] :  ? [v21] : (sdtasdt0(v10, v12) = v20 & sdtasdt0(v10, v11) = v19 & sdtasdt0(v9, v12) = v17 & sdtasdt0(v9, v11) = v16 & sdtpldt0(v19, v20) = v21 & sdtpldt0(v18, v21) = v15 & sdtpldt0(v16, v17) = v18)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (sdtasdt0(v10, v12) = v14) |  ~ (sdtasdt0(v9, v11) = v13) |  ~ sdtlseqdt0(v11, v12) |  ~ sdtlseqdt0(v9, v10) |  ~ sdtlseqdt0(sz0z00, v11) |  ~ aScalar0(v12) |  ~ aScalar0(v11) |  ~ aScalar0(v10) |  ~ aScalar0(v9) | sdtlseqdt0(v13, v14)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (sdtasdt0(v10, v11) = v13) |  ~ (sdtasdt0(v9, v11) = v12) |  ~ (sdtpldt0(v12, v13) = v14) |  ~ aScalar0(v11) |  ~ aScalar0(v10) |  ~ aScalar0(v9) |  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] : (sdtasdt0(v18, v11) = v14 & sdtasdt0(v9, v15) = v16 & sdtasdt0(v9, v10) = v17 & sdtpldt0(v17, v12) = v16 & sdtpldt0(v10, v11) = v15 & sdtpldt0(v9, v10) = v18)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (sdtasdt0(v9, v11) = v13) |  ~ (sdtasdt0(v9, v10) = v12) |  ~ (sdtpldt0(v12, v13) = v14) |  ~ aScalar0(v11) |  ~ aScalar0(v10) |  ~ aScalar0(v9) |  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] : (sdtasdt0(v16, v11) = v17 & sdtasdt0(v10, v11) = v18 & sdtasdt0(v9, v15) = v14 & sdtpldt0(v13, v18) = v17 & sdtpldt0(v10, v11) = v15 & sdtpldt0(v9, v10) = v16)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (sdtpldt0(v10, v12) = v14) |  ~ (sdtpldt0(v9, v11) = v13) |  ~ sdtlseqdt0(v11, v12) |  ~ sdtlseqdt0(v9, v10) |  ~ aScalar0(v12) |  ~ aScalar0(v11) |  ~ aScalar0(v10) |  ~ aScalar0(v9) | sdtlseqdt0(v13, v14)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (sdtasasdt0(v10, v10) = v12) |  ~ (sdtasasdt0(v9, v9) = v11) |  ~ (sdtasdt0(v11, v12) = v13) |  ~ aVector0(v10) |  ~ aVector0(v9) |  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] : (sdtasasdt0(v9, v10) = v16 & aDimensionOf0(v10) = v15 & aDimensionOf0(v9) = v14 & sdtasdt0(v16, v16) = v17 & ( ~ (v15 = v14) |  ~ iLess0(v14, v1) | sdtlseqdt0(v17, v13)))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (smndt0(v10) = v12) |  ~ (smndt0(v9) = v11) |  ~ (sdtasdt0(v11, v12) = v13) |  ~ aScalar0(v10) |  ~ aScalar0(v9) | sdtasdt0(v9, v10) = v13) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (sdtasdt0(v12, v11) = v13) |  ~ (sdtasdt0(v9, v10) = v12) |  ~ aScalar0(v11) |  ~ aScalar0(v10) |  ~ aScalar0(v9) |  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] : (sdtasdt0(v10, v11) = v17 & sdtasdt0(v10, v9) = v12 & sdtasdt0(v9, v17) = v13 & sdtpldt0(v14, v11) = v15 & sdtpldt0(v10, v11) = v16 & sdtpldt0(v10, v9) = v14 & sdtpldt0(v9, v16) = v15 & sdtpldt0(v9, v10) = v14)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (sdtasdt0(v12, v11) = v13) |  ~ (sdtpldt0(v9, v10) = v12) |  ~ aScalar0(v11) |  ~ aScalar0(v10) |  ~ aScalar0(v9) |  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] : (sdtasdt0(v10, v11) = v18 & sdtasdt0(v9, v14) = v15 & sdtasdt0(v9, v11) = v17 & sdtasdt0(v9, v10) = v16 & sdtpldt0(v17, v18) = v13 & sdtpldt0(v16, v17) = v15 & sdtpldt0(v10, v11) = v14)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (sdtasdt0(v10, v11) = v12) |  ~ (sdtasdt0(v9, v12) = v13) |  ~ aScalar0(v11) |  ~ aScalar0(v10) |  ~ aScalar0(v9) |  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] : (sdtasdt0(v17, v11) = v13 & sdtasdt0(v10, v9) = v17 & sdtasdt0(v9, v10) = v17 & sdtpldt0(v14, v11) = v15 & sdtpldt0(v10, v11) = v16 & sdtpldt0(v10, v9) = v14 & sdtpldt0(v9, v16) = v15 & sdtpldt0(v9, v10) = v14)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (sdtasdt0(v9, v12) = v13) |  ~ (sdtpldt0(v10, v11) = v12) |  ~ aScalar0(v11) |  ~ aScalar0(v10) |  ~ aScalar0(v9) |  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] : (sdtasdt0(v16, v11) = v17 & sdtasdt0(v10, v11) = v18 & sdtasdt0(v9, v11) = v15 & sdtasdt0(v9, v10) = v14 & sdtpldt0(v15, v18) = v17 & sdtpldt0(v14, v15) = v13 & sdtpldt0(v9, v10) = v16)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (sdtpldt0(v12, v11) = v13) |  ~ (sdtpldt0(v9, v10) = v12) |  ~ aScalar0(v11) |  ~ aScalar0(v10) |  ~ aScalar0(v9) |  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] : (sdtasdt0(v15, v11) = v16 & sdtasdt0(v10, v11) = v17 & sdtasdt0(v10, v9) = v15 & sdtasdt0(v9, v17) = v16 & sdtasdt0(v9, v10) = v15 & sdtpldt0(v10, v11) = v14 & sdtpldt0(v10, v9) = v12 & sdtpldt0(v9, v14) = v13)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (sdtpldt0(v10, v11) = v12) |  ~ (sdtpldt0(v9, v12) = v13) |  ~ aScalar0(v11) |  ~ aScalar0(v10) |  ~ aScalar0(v9) |  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] : (sdtasdt0(v15, v11) = v16 & sdtasdt0(v10, v11) = v17 & sdtasdt0(v10, v9) = v15 & sdtasdt0(v9, v17) = v16 & sdtasdt0(v9, v10) = v15 & sdtpldt0(v14, v11) = v13 & sdtpldt0(v10, v9) = v14 & sdtpldt0(v9, v10) = v14)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v11 = sz00 |  ~ (sziznziztdt0(v9) = v12) |  ~ (aDimensionOf0(v10) = v11) |  ~ aVector0(v10) |  ~ aVector0(v9) |  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] : (sziznziztdt0(v10) = v15 & aDimensionOf0(v15) = v16 & aDimensionOf0(v12) = v14 & aDimensionOf0(v9) = v13 & ( ~ (v13 = v11) | v16 = v14))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (sdtasasdt0(v12, v11) = v10) |  ~ (sdtasasdt0(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (sdtlbdtrb0(v12, v11) = v10) |  ~ (sdtlbdtrb0(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (sdtasdt0(v12, v11) = v10) |  ~ (sdtasdt0(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (sdtpldt0(v12, v11) = v10) |  ~ (sdtpldt0(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (sdtasasdt0(v9, v10) = v11) |  ~ (sdtasdt0(v11, v11) = v12) |  ~ aVector0(v10) |  ~ aVector0(v9) |  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] : (sdtasasdt0(v10, v10) = v16 & sdtasasdt0(v9, v9) = v15 & aDimensionOf0(v10) = v14 & aDimensionOf0(v9) = v13 & sdtasdt0(v15, v16) = v17 & ( ~ (v14 = v13) |  ~ iLess0(v13, v1) | sdtlseqdt0(v12, v17)))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (sziznziztdt0(v10) = v12) |  ~ (sziznziztdt0(v9) = v11) |  ~ aVector0(v10) |  ~ aVector0(v9) |  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] : (aDimensionOf0(v12) = v16 & aDimensionOf0(v11) = v15 & aDimensionOf0(v10) = v14 & aDimensionOf0(v9) = v13 & ( ~ (v14 = v13) | v16 = v15 | v13 = sz00))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (sziznziztdt0(v10) = v12) |  ~ (aDimensionOf0(v9) = v11) |  ~ aVector0(v10) |  ~ aVector0(v9) |  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] : (sziznziztdt0(v9) = v14 & aDimensionOf0(v14) = v15 & aDimensionOf0(v12) = v16 & aDimensionOf0(v10) = v13 & ( ~ (v13 = v11) | v16 = v15 | v11 = sz00))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (smndt0(v10) = v11) |  ~ (sdtasdt0(v9, v11) = v12) |  ~ aScalar0(v10) |  ~ aScalar0(v9) |  ? [v13] :  ? [v14] : (smndt0(v13) = v12 & smndt0(v9) = v14 & sdtasdt0(v14, v10) = v12 & sdtasdt0(v9, v10) = v13)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (smndt0(v9) = v11) |  ~ (sdtasdt0(v11, v10) = v12) |  ~ aScalar0(v10) |  ~ aScalar0(v9) |  ? [v13] :  ? [v14] : (smndt0(v14) = v12 & smndt0(v10) = v13 & sdtasdt0(v9, v13) = v12 & sdtasdt0(v9, v10) = v14)) &  ! [v9] :  ! [v10] :  ! [v11] : (v11 = sz0z00 |  ~ (sdtasasdt0(v9, v10) = v11) |  ~ aVector0(v10) |  ~ aVector0(v9) |  ? [v12] :  ? [v13] : (aDimensionOf0(v10) = v13 & aDimensionOf0(v9) = v12 & ( ~ (v13 = sz00) |  ~ (v12 = sz00)))) &  ! [v9] :  ! [v10] :  ! [v11] : (v11 = sz0z00 |  ~ (smndt0(v9) = v10) |  ~ (sdtpldt0(v10, v9) = v11) |  ~ aScalar0(v9)) &  ! [v9] :  ! [v10] :  ! [v11] : (v11 = sz0z00 |  ~ (smndt0(v9) = v10) |  ~ (sdtpldt0(v9, v10) = v11) |  ~ aScalar0(v9)) &  ! [v9] :  ! [v10] :  ! [v11] : (v11 = sz00 |  ~ (aDimensionOf0(v10) = v11) |  ~ (aDimensionOf0(v9) = v11) |  ~ aVector0(v10) |  ~ aVector0(v9) |  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] : (sdtasasdt0(v13, v14) = v15 & sdtasasdt0(v9, v10) = v12 & sziznziztdt0(v10) = v14 & sziznziztdt0(v9) = v13 & sdtlbdtrb0(v10, v11) = v17 & sdtlbdtrb0(v9, v11) = v16 & sdtasdt0(v16, v17) = v18 & sdtpldt0(v15, v18) = v12)) &  ! [v9] :  ! [v10] :  ! [v11] : (v11 = sz00 |  ~ (aDimensionOf0(v10) = v11) |  ~ (aDimensionOf0(v9) = v11) |  ~ aVector0(v10) |  ~ aVector0(v9) |  ? [v12] :  ? [v13] :  ? [v14] : (sziznziztdt0(v10) = v14 & sziznziztdt0(v9) = v12 & aDimensionOf0(v14) = v13 & aDimensionOf0(v12) = v13)) &  ! [v9] :  ! [v10] :  ! [v11] : (v10 = v9 |  ~ (sziznziztdt0(v11) = v10) |  ~ (sziznziztdt0(v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] : (v10 = v9 |  ~ (aDimensionOf0(v11) = v10) |  ~ (aDimensionOf0(v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] : (v10 = v9 |  ~ (smndt0(v11) = v10) |  ~ (smndt0(v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] : (v10 = v9 |  ~ (sdtasdt0(v10, v10) = v11) |  ~ (sdtasdt0(v9, v9) = v11) |  ~ sdtlseqdt0(sz0z00, v10) |  ~ sdtlseqdt0(sz0z00, v9) |  ~ aScalar0(v10) |  ~ aScalar0(v9)) &  ! [v9] :  ! [v10] :  ! [v11] : (v10 = v9 |  ~ (szszuzczcdt0(v11) = v10) |  ~ (szszuzczcdt0(v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] : (v10 = v9 |  ~ (szszuzczcdt0(v10) = v11) |  ~ (szszuzczcdt0(v9) = v11) |  ~ aNaturalNumber0(v10) |  ~ aNaturalNumber0(v9)) &  ! [v9] :  ! [v10] :  ! [v11] : (v0 = sz0z00 |  ~ (smndt0(v9) = v10) |  ~ (sdtpldt0(v10, v9) = v11) |  ~ aScalar0(v9)) &  ! [v9] :  ! [v10] :  ! [v11] : (v0 = sz0z00 |  ~ (smndt0(v9) = v10) |  ~ (sdtpldt0(v9, v10) = v11) |  ~ aScalar0(v9)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtasasdt0(v9, v10) = v11) |  ~ aVector0(v10) |  ~ aVector0(v9) | aScalar0(v11) |  ? [v12] :  ? [v13] : ( ~ (v13 = v12) & aDimensionOf0(v10) = v13 & aDimensionOf0(v9) = v12)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtasasdt0(v9, v10) = v11) |  ~ aVector0(v10) |  ~ aVector0(v9) |  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] :  ? [v19] :  ? [v20] : (sdtasasdt0(v14, v15) = v16 & sziznziztdt0(v10) = v15 & sziznziztdt0(v9) = v14 & sdtlbdtrb0(v10, v13) = v18 & sdtlbdtrb0(v9, v12) = v17 & aDimensionOf0(v10) = v13 & aDimensionOf0(v9) = v12 & sdtasdt0(v17, v18) = v19 & sdtpldt0(v16, v19) = v20 & ( ~ (v13 = v12) | v20 = v11 | v12 = sz00))) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtlbdtrb0(v9, v10) = v11) |  ~ aVector0(v9) |  ~ aNaturalNumber0(v10) | aScalar0(v11)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (aDimensionOf0(v10) = v11) |  ~ (aDimensionOf0(v9) = v11) |  ~ aVector0(v10) |  ~ aVector0(v9) |  ~ iLess0(v11, v1) |  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] : (sdtasasdt0(v10, v10) = v15 & sdtasasdt0(v9, v10) = v12 & sdtasasdt0(v9, v9) = v14 & sdtasdt0(v14, v15) = v16 & sdtasdt0(v12, v12) = v13 & sdtlseqdt0(v13, v16))) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (aDimensionOf0(v10) = v11) |  ~ (aDimensionOf0(v9) = v11) |  ~ aVector0(v10) |  ~ aVector0(v9) |  ? [v12] : (sdtasasdt0(v9, v10) = v12 & aScalar0(v12))) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (smndt0(v9) = v10) |  ~ (sdtpldt0(v10, v9) = v11) |  ~ aScalar0(v9) | (smndt0(v10) = v9 & sdtasdt0(v9, sz0z00) = sz0z00 & sdtasdt0(sz0z00, v9) = sz0z00 & sdtpldt0(v9, v10) = sz0z00 & sdtpldt0(v9, sz0z00) = v9 & sdtpldt0(sz0z00, v9) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (smndt0(v9) = v10) |  ~ (sdtpldt0(v9, v10) = v11) |  ~ aScalar0(v9) | (smndt0(v10) = v9 & sdtasdt0(v9, sz0z00) = sz0z00 & sdtasdt0(sz0z00, v9) = sz0z00 & sdtpldt0(v10, v9) = sz0z00 & sdtpldt0(v9, sz0z00) = v9 & sdtpldt0(sz0z00, v9) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtasdt0(v9, v10) = v11) |  ~ sdtlseqdt0(sz0z00, v10) |  ~ sdtlseqdt0(sz0z00, v9) |  ~ aScalar0(v10) |  ~ aScalar0(v9) | sdtlseqdt0(sz0z00, v11)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtasdt0(v9, v10) = v11) |  ~ sdtlseqdt0(sz0z00, v10) |  ~ sdtlseqdt0(sz0z00, v9) |  ~ aScalar0(v10) |  ~ aScalar0(v9) |  ? [v12] : (sdtpldt0(v9, v10) = v12 & sdtlseqdt0(sz0z00, v12))) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtasdt0(v9, v10) = v11) |  ~ aScalar0(v10) |  ~ aScalar0(v9) | aScalar0(v11)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtasdt0(v9, v10) = v11) |  ~ aScalar0(v10) |  ~ aScalar0(v9) |  ? [v12] :  ? [v13] :  ? [v14] : (smndt0(v11) = v13 & smndt0(v10) = v12 & smndt0(v9) = v14 & sdtasdt0(v14, v10) = v13 & sdtasdt0(v9, v12) = v13)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtasdt0(v9, v10) = v11) |  ~ aScalar0(v10) |  ~ aScalar0(v9) |  ? [v12] :  ? [v13] : (smndt0(v10) = v13 & smndt0(v9) = v12 & sdtasdt0(v12, v13) = v11)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtpldt0(v9, v10) = v11) |  ~ sdtlseqdt0(sz0z00, v10) |  ~ sdtlseqdt0(sz0z00, v9) |  ~ aScalar0(v10) |  ~ aScalar0(v9) | sdtlseqdt0(sz0z00, v11)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtpldt0(v9, v10) = v11) |  ~ sdtlseqdt0(sz0z00, v10) |  ~ sdtlseqdt0(sz0z00, v9) |  ~ aScalar0(v10) |  ~ aScalar0(v9) |  ? [v12] : (sdtasdt0(v9, v10) = v12 & sdtlseqdt0(sz0z00, v12))) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtpldt0(v9, v10) = v11) |  ~ aScalar0(v10) |  ~ aScalar0(v9) | aScalar0(v11)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ sdtlseqdt0(v10, v11) |  ~ sdtlseqdt0(v9, v10) |  ~ aScalar0(v11) |  ~ aScalar0(v10) |  ~ aScalar0(v9) | sdtlseqdt0(v9, v11)) &  ! [v9] :  ! [v10] : (v10 = v9 |  ~ (sdtpldt0(v9, sz0z00) = v10) |  ~ aScalar0(v9)) &  ! [v9] :  ! [v10] : (v10 = v9 |  ~ (sdtpldt0(sz0z00, v9) = v10) |  ~ aScalar0(v9)) &  ! [v9] :  ! [v10] : (v10 = v9 |  ~ sdtlseqdt0(v10, v9) |  ~ sdtlseqdt0(v9, v10) |  ~ aScalar0(v10) |  ~ aScalar0(v9)) &  ! [v9] :  ! [v10] : (v10 = sz0z00 |  ~ (sdtasdt0(v9, sz0z00) = v10) |  ~ aScalar0(v9)) &  ! [v9] :  ! [v10] : (v10 = sz0z00 |  ~ (sdtasdt0(sz0z00, v9) = v10) |  ~ aScalar0(v9)) &  ! [v9] :  ! [v10] : (v10 = sz00 |  ~ (aDimensionOf0(v9) = v10) |  ~ aVector0(v9) |  ? [v11] : (sziznziztdt0(v9) = v11 &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (sdtlbdtrb0(v11, v13) = v14) |  ~ (aDimensionOf0(v11) = v12) |  ~ aNaturalNumber0(v13) | sdtlbdtrb0(v9, v13) = v14) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (sdtlbdtrb0(v9, v13) = v14) |  ~ (aDimensionOf0(v11) = v12) |  ~ aNaturalNumber0(v13) | sdtlbdtrb0(v11, v13) = v14) &  ! [v12] :  ! [v13] : (v12 = v11 |  ~ (aDimensionOf0(v12) = v13) |  ~ aVector0(v12) |  ? [v14] :  ? [v15] :  ? [v16] : (( ~ (v16 = v15) & sdtlbdtrb0(v12, v14) = v15 & sdtlbdtrb0(v9, v14) = v16 & aNaturalNumber0(v14)) | ( ~ (v14 = v10) & szszuzczcdt0(v13) = v14))) &  ! [v12] : ( ~ (aDimensionOf0(v11) = v12) | szszuzczcdt0(v12) = v10) &  ! [v12] : ( ~ (aDimensionOf0(v11) = v12) | aVector0(v11)))) &  ! [v9] :  ! [v10] : (v0 = sz0z00 |  ~ (smndt0(v9) = v10) |  ~ aScalar0(v9)) &  ! [v9] :  ! [v10] : (v0 = sz0z00 |  ~ (sdtasdt0(v9, sz0z00) = v10) |  ~ aScalar0(v9)) &  ! [v9] :  ! [v10] : (v0 = sz0z00 |  ~ (sdtasdt0(sz0z00, v9) = v10) |  ~ aScalar0(v9)) &  ! [v9] :  ! [v10] : (v0 = sz0z00 |  ~ (sdtpldt0(v9, sz0z00) = v10) |  ~ aScalar0(v9)) &  ! [v9] :  ! [v10] : (v0 = sz0z00 |  ~ (sdtpldt0(sz0z00, v9) = v10) |  ~ aScalar0(v9)) &  ! [v9] :  ! [v10] : ( ~ (sdtasasdt0(v9, v9) = v10) |  ~ aVector0(v9) | sdtlseqdt0(sz0z00, v10)) &  ! [v9] :  ! [v10] : ( ~ (sziznziztdt0(v9) = v10) |  ~ aVector0(v9) |  ? [v11] : (aDimensionOf0(v9) = v11 & (v11 = sz00 | ( ! [v12] :  ! [v13] :  ! [v14] : ( ~ (sdtlbdtrb0(v10, v13) = v14) |  ~ (aDimensionOf0(v10) = v12) |  ~ aNaturalNumber0(v13) | sdtlbdtrb0(v9, v13) = v14) &  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (sdtlbdtrb0(v9, v13) = v14) |  ~ (aDimensionOf0(v10) = v12) |  ~ aNaturalNumber0(v13) | sdtlbdtrb0(v10, v13) = v14) &  ! [v12] :  ! [v13] : (v12 = v10 |  ~ (aDimensionOf0(v12) = v13) |  ~ aVector0(v12) |  ? [v14] :  ? [v15] :  ? [v16] : (( ~ (v16 = v15) & sdtlbdtrb0(v12, v14) = v15 & sdtlbdtrb0(v9, v14) = v16 & aNaturalNumber0(v14)) | ( ~ (v14 = v11) & szszuzczcdt0(v13) = v14))) &  ! [v12] : ( ~ (aDimensionOf0(v10) = v12) | szszuzczcdt0(v12) = v11) &  ! [v12] : ( ~ (aDimensionOf0(v10) = v12) | aVector0(v10)))))) &  ! [v9] :  ! [v10] : ( ~ (sdtlbdtrb0(xq, v9) = v10) |  ~ aNaturalNumber0(v9) | sdtlbdtrb0(xt, v9) = v10) &  ! [v9] :  ! [v10] : ( ~ (sdtlbdtrb0(xp, v9) = v10) |  ~ aNaturalNumber0(v9) | sdtlbdtrb0(xs, v9) = v10) &  ! [v9] :  ! [v10] : ( ~ (sdtlbdtrb0(xt, v9) = v10) |  ~ aNaturalNumber0(v9) | sdtlbdtrb0(xq, v9) = v10) &  ! [v9] :  ! [v10] : ( ~ (sdtlbdtrb0(xs, v9) = v10) |  ~ aNaturalNumber0(v9) | sdtlbdtrb0(xp, v9) = v10) &  ! [v9] :  ! [v10] : ( ~ (aDimensionOf0(v10) = sz00) |  ~ (aDimensionOf0(v9) = sz00) |  ~ aVector0(v10) |  ~ aVector0(v9) | sdtasasdt0(v9, v10) = sz0z00) &  ! [v9] :  ! [v10] : ( ~ (aDimensionOf0(v9) = v10) |  ~ aVector0(v9) | aNaturalNumber0(v10)) &  ! [v9] :  ! [v10] : ( ~ (smndt0(v9) = v10) |  ~ aScalar0(v9) | aScalar0(v10)) &  ! [v9] :  ! [v10] : ( ~ (smndt0(v9) = v10) |  ~ aScalar0(v9) | (smndt0(v10) = v9 & sdtasdt0(v9, sz0z00) = sz0z00 & sdtasdt0(sz0z00, v9) = sz0z00 & sdtpldt0(v10, v9) = sz0z00 & sdtpldt0(v9, v10) = sz0z00 & sdtpldt0(v9, sz0z00) = v9 & sdtpldt0(sz0z00, v9) = v9)) &  ! [v9] :  ! [v10] : ( ~ (sdtasdt0(v9, v9) = v10) |  ~ aScalar0(v9) | sdtlseqdt0(sz0z00, v10)) &  ! [v9] :  ! [v10] : ( ~ (sdtasdt0(v9, sz0z00) = v10) |  ~ aScalar0(v9) |  ? [v11] : (smndt0(v11) = v9 & smndt0(v9) = v11 & sdtasdt0(sz0z00, v9) = sz0z00 & sdtpldt0(v11, v9) = sz0z00 & sdtpldt0(v9, v11) = sz0z00 & sdtpldt0(v9, sz0z00) = v9 & sdtpldt0(sz0z00, v9) = v9)) &  ! [v9] :  ! [v10] : ( ~ (sdtasdt0(sz0z00, v9) = v10) |  ~ aScalar0(v9) |  ? [v11] : (smndt0(v11) = v9 & smndt0(v9) = v11 & sdtasdt0(v9, sz0z00) = sz0z00 & sdtpldt0(v11, v9) = sz0z00 & sdtpldt0(v9, v11) = sz0z00 & sdtpldt0(v9, sz0z00) = v9 & sdtpldt0(sz0z00, v9) = v9)) &  ! [v9] :  ! [v10] : ( ~ (sdtpldt0(v9, sz0z00) = v10) |  ~ aScalar0(v9) |  ? [v11] : (smndt0(v11) = v9 & smndt0(v9) = v11 & sdtasdt0(v9, sz0z00) = sz0z00 & sdtasdt0(sz0z00, v9) = sz0z00 & sdtpldt0(v11, v9) = sz0z00 & sdtpldt0(v9, v11) = sz0z00 & sdtpldt0(sz0z00, v9) = v9)) &  ! [v9] :  ! [v10] : ( ~ (sdtpldt0(sz0z00, v9) = v10) |  ~ aScalar0(v9) |  ? [v11] : (smndt0(v11) = v9 & smndt0(v9) = v11 & sdtasdt0(v9, sz0z00) = sz0z00 & sdtasdt0(sz0z00, v9) = sz0z00 & sdtpldt0(v11, v9) = sz0z00 & sdtpldt0(v9, v11) = sz0z00 & sdtpldt0(v9, sz0z00) = v9)) &  ! [v9] :  ! [v10] : ( ~ (szszuzczcdt0(v9) = v10) |  ~ aNaturalNumber0(v9) | iLess0(v9, v10)) &  ! [v9] :  ! [v10] : ( ~ (szszuzczcdt0(v9) = v10) |  ~ aNaturalNumber0(v9) | aNaturalNumber0(v10)) &  ! [v9] :  ! [v10] : ( ~ aScalar0(v10) |  ~ aScalar0(v9) | sdtlseqdt0(v10, v9) | sdtlseqdt0(v9, v10)) &  ! [v9] : (v9 = sz00 |  ~ aNaturalNumber0(v9) |  ? [v10] : (szszuzczcdt0(v10) = v9 & aNaturalNumber0(v10))) &  ! [v9] : ( ~ (szszuzczcdt0(v9) = sz00) |  ~ aNaturalNumber0(v9)) &  ! [v9] : ( ~ aScalar0(v9) | sdtlseqdt0(v9, v9)))
% 24.12/8.28  | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8 yields:
% 24.12/8.28  | (1)  ~ (all_0_0_0 = all_0_2_2) &  ~ (all_0_7_7 = sz00) & sdtasasdt0(xq, xq) = xD & sdtasasdt0(xp, xq) = xE & sdtasasdt0(xp, xp) = xC & sziznziztdt0(xt) = xq & sziznziztdt0(xs) = xp & sdtlbdtrb0(xt, all_0_7_7) = xB & sdtlbdtrb0(xs, all_0_7_7) = xA & aDimensionOf0(xq) = all_0_5_5 & aDimensionOf0(xp) = all_0_6_6 & aDimensionOf0(xt) = all_0_7_7 & aDimensionOf0(xs) = all_0_7_7 & smndt0(sz0z00) = all_0_8_8 & sdtasdt0(all_0_1_1, all_0_4_4) = all_0_0_0 & sdtasdt0(xP, xP) = all_0_2_2 & sdtasdt0(xR, xS) = xN & sdtasdt0(xH, xH) = all_0_1_1 & sdtasdt0(xF, xD) = xS & sdtasdt0(xE, xH) = xP & sdtasdt0(xE, xE) = all_0_4_4 & sdtasdt0(xC, xG) = xR & sdtasdt0(xC, xD) = all_0_3_3 & sdtasdt0(xB, xB) = xG & sdtasdt0(xA, xB) = xH & sdtasdt0(xA, xA) = xF & szszuzczcdt0(all_0_5_5) = all_0_7_7 & szszuzczcdt0(all_0_6_6) = all_0_7_7 & aVector0(xq) & aVector0(xp) & aVector0(xt) & aVector0(xs) & sdtlseqdt0(all_0_4_4, all_0_3_3) & aScalar0(xN) & aScalar0(xS) & aScalar0(xP) & aScalar0(xR) & aScalar0(xH) & aScalar0(xG) & aScalar0(xF) & aScalar0(xE) & aScalar0(xD) & aScalar0(xC) & aScalar0(xB) & aScalar0(xA) & aScalar0(sz0z00) & aNaturalNumber0(sz00) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (sdtasdt0(v1, v3) = v8) |  ~ (sdtasdt0(v1, v2) = v7) |  ~ (sdtasdt0(v0, v3) = v5) |  ~ (sdtasdt0(v0, v2) = v4) |  ~ (sdtpldt0(v7, v8) = v9) |  ~ (sdtpldt0(v6, v9) = v10) |  ~ (sdtpldt0(v4, v5) = v6) |  ~ aScalar0(v3) |  ~ aScalar0(v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v11] :  ? [v12] : (sdtasdt0(v11, v12) = v10 & sdtpldt0(v2, v3) = v12 & sdtpldt0(v0, v1) = v11)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : (v2 = sz00 |  ~ (sdtasasdt0(v3, v4) = v5) |  ~ (sziznziztdt0(v1) = v4) |  ~ (sziznziztdt0(v0) = v3) |  ~ (sdtlbdtrb0(v1, v2) = v7) |  ~ (sdtlbdtrb0(v0, v2) = v6) |  ~ (aDimensionOf0(v1) = v2) |  ~ (aDimensionOf0(v0) = v2) |  ~ (sdtasdt0(v6, v7) = v8) |  ~ (sdtpldt0(v5, v8) = v9) |  ~ aVector0(v1) |  ~ aVector0(v0) | sdtasasdt0(v0, v1) = v9) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (sdtasdt0(v4, v5) = v6) |  ~ (sdtpldt0(v2, v3) = v5) |  ~ (sdtpldt0(v0, v1) = v4) |  ~ aScalar0(v3) |  ~ aScalar0(v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : (sdtasdt0(v1, v3) = v11 & sdtasdt0(v1, v2) = v10 & sdtasdt0(v0, v3) = v8 & sdtasdt0(v0, v2) = v7 & sdtpldt0(v10, v11) = v12 & sdtpldt0(v9, v12) = v6 & sdtpldt0(v7, v8) = v9)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (sdtasdt0(v1, v3) = v5) |  ~ (sdtasdt0(v0, v2) = v4) |  ~ sdtlseqdt0(v2, v3) |  ~ sdtlseqdt0(v0, v1) |  ~ sdtlseqdt0(sz0z00, v2) |  ~ aScalar0(v3) |  ~ aScalar0(v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) | sdtlseqdt0(v4, v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (sdtasdt0(v1, v2) = v4) |  ~ (sdtasdt0(v0, v2) = v3) |  ~ (sdtpldt0(v3, v4) = v5) |  ~ aScalar0(v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (sdtasdt0(v9, v2) = v5 & sdtasdt0(v0, v6) = v7 & sdtasdt0(v0, v1) = v8 & sdtpldt0(v8, v3) = v7 & sdtpldt0(v1, v2) = v6 & sdtpldt0(v0, v1) = v9)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (sdtasdt0(v0, v2) = v4) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ (sdtpldt0(v3, v4) = v5) |  ~ aScalar0(v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (sdtasdt0(v7, v2) = v8 & sdtasdt0(v1, v2) = v9 & sdtasdt0(v0, v6) = v5 & sdtpldt0(v4, v9) = v8 & sdtpldt0(v1, v2) = v6 & sdtpldt0(v0, v1) = v7)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (sdtpldt0(v1, v3) = v5) |  ~ (sdtpldt0(v0, v2) = v4) |  ~ sdtlseqdt0(v2, v3) |  ~ sdtlseqdt0(v0, v1) |  ~ aScalar0(v3) |  ~ aScalar0(v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) | sdtlseqdt0(v4, v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtasasdt0(v1, v1) = v3) |  ~ (sdtasasdt0(v0, v0) = v2) |  ~ (sdtasdt0(v2, v3) = v4) |  ~ aVector0(v1) |  ~ aVector0(v0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (sdtasasdt0(v0, v1) = v7 & aDimensionOf0(v1) = v6 & aDimensionOf0(v0) = v5 & sdtasdt0(v7, v7) = v8 & ( ~ (v6 = v5) |  ~ iLess0(v5, all_0_7_7) | sdtlseqdt0(v8, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (smndt0(v1) = v3) |  ~ (smndt0(v0) = v2) |  ~ (sdtasdt0(v2, v3) = v4) |  ~ aScalar0(v1) |  ~ aScalar0(v0) | sdtasdt0(v0, v1) = v4) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtasdt0(v3, v2) = v4) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ aScalar0(v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (sdtasdt0(v1, v2) = v8 & sdtasdt0(v1, v0) = v3 & sdtasdt0(v0, v8) = v4 & sdtpldt0(v5, v2) = v6 & sdtpldt0(v1, v2) = v7 & sdtpldt0(v1, v0) = v5 & sdtpldt0(v0, v7) = v6 & sdtpldt0(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtasdt0(v3, v2) = v4) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ aScalar0(v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (sdtasdt0(v1, v2) = v9 & sdtasdt0(v0, v5) = v6 & sdtasdt0(v0, v2) = v8 & sdtasdt0(v0, v1) = v7 & sdtpldt0(v8, v9) = v4 & sdtpldt0(v7, v8) = v6 & sdtpldt0(v1, v2) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtasdt0(v1, v2) = v3) |  ~ (sdtasdt0(v0, v3) = v4) |  ~ aScalar0(v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (sdtasdt0(v8, v2) = v4 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v1) = v8 & sdtpldt0(v5, v2) = v6 & sdtpldt0(v1, v2) = v7 & sdtpldt0(v1, v0) = v5 & sdtpldt0(v0, v7) = v6 & sdtpldt0(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtasdt0(v0, v3) = v4) |  ~ (sdtpldt0(v1, v2) = v3) |  ~ aScalar0(v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (sdtasdt0(v7, v2) = v8 & sdtasdt0(v1, v2) = v9 & sdtasdt0(v0, v2) = v6 & sdtasdt0(v0, v1) = v5 & sdtpldt0(v6, v9) = v8 & sdtpldt0(v5, v6) = v4 & sdtpldt0(v0, v1) = v7)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ aScalar0(v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (sdtasdt0(v6, v2) = v7 & sdtasdt0(v1, v2) = v8 & sdtasdt0(v1, v0) = v6 & sdtasdt0(v0, v8) = v7 & sdtasdt0(v0, v1) = v6 & sdtpldt0(v1, v2) = v5 & sdtpldt0(v1, v0) = v3 & sdtpldt0(v0, v5) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtpldt0(v1, v2) = v3) |  ~ (sdtpldt0(v0, v3) = v4) |  ~ aScalar0(v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (sdtasdt0(v6, v2) = v7 & sdtasdt0(v1, v2) = v8 & sdtasdt0(v1, v0) = v6 & sdtasdt0(v0, v8) = v7 & sdtasdt0(v0, v1) = v6 & sdtpldt0(v5, v2) = v4 & sdtpldt0(v1, v0) = v5 & sdtpldt0(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = sz00 |  ~ (sziznziztdt0(v0) = v3) |  ~ (aDimensionOf0(v1) = v2) |  ~ aVector0(v1) |  ~ aVector0(v0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (sziznziztdt0(v1) = v6 & aDimensionOf0(v6) = v7 & aDimensionOf0(v3) = v5 & aDimensionOf0(v0) = v4 & ( ~ (v4 = v2) | v7 = v5))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (sdtasasdt0(v3, v2) = v1) |  ~ (sdtasasdt0(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (sdtlbdtrb0(v3, v2) = v1) |  ~ (sdtlbdtrb0(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] : ( ~ (sdtasasdt0(v0, v1) = v2) |  ~ (sdtasdt0(v2, v2) = v3) |  ~ aVector0(v1) |  ~ aVector0(v0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (sdtasasdt0(v1, v1) = v7 & sdtasasdt0(v0, v0) = v6 & aDimensionOf0(v1) = v5 & aDimensionOf0(v0) = v4 & sdtasdt0(v6, v7) = v8 & ( ~ (v5 = v4) |  ~ iLess0(v4, all_0_7_7) | sdtlseqdt0(v3, v8)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sziznziztdt0(v1) = v3) |  ~ (sziznziztdt0(v0) = v2) |  ~ aVector0(v1) |  ~ aVector0(v0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (aDimensionOf0(v3) = v7 & aDimensionOf0(v2) = v6 & aDimensionOf0(v1) = v5 & aDimensionOf0(v0) = v4 & ( ~ (v5 = v4) | v7 = v6 | v4 = sz00))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sziznziztdt0(v1) = v3) |  ~ (aDimensionOf0(v0) = v2) |  ~ aVector0(v1) |  ~ aVector0(v0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (sziznziztdt0(v0) = v5 & aDimensionOf0(v5) = v6 & aDimensionOf0(v3) = v7 & aDimensionOf0(v1) = v4 & ( ~ (v4 = v2) | v7 = v6 | v2 = sz00))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (smndt0(v1) = v2) |  ~ (sdtasdt0(v0, v2) = v3) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v4] :  ? [v5] : (smndt0(v4) = v3 & smndt0(v0) = v5 & sdtasdt0(v5, v1) = v3 & sdtasdt0(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (smndt0(v0) = v2) |  ~ (sdtasdt0(v2, v1) = v3) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v4] :  ? [v5] : (smndt0(v5) = v3 & smndt0(v1) = v4 & sdtasdt0(v0, v4) = v3 & sdtasdt0(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = sz0z00 |  ~ (sdtasasdt0(v0, v1) = v2) |  ~ aVector0(v1) |  ~ aVector0(v0) |  ? [v3] :  ? [v4] : (aDimensionOf0(v1) = v4 & aDimensionOf0(v0) = v3 & ( ~ (v4 = sz00) |  ~ (v3 = sz00)))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = sz0z00 |  ~ (smndt0(v0) = v1) |  ~ (sdtpldt0(v1, v0) = v2) |  ~ aScalar0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = sz0z00 |  ~ (smndt0(v0) = v1) |  ~ (sdtpldt0(v0, v1) = v2) |  ~ aScalar0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = sz00 |  ~ (aDimensionOf0(v1) = v2) |  ~ (aDimensionOf0(v0) = v2) |  ~ aVector0(v1) |  ~ aVector0(v0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (sdtasasdt0(v4, v5) = v6 & sdtasasdt0(v0, v1) = v3 & sziznziztdt0(v1) = v5 & sziznziztdt0(v0) = v4 & sdtlbdtrb0(v1, v2) = v8 & sdtlbdtrb0(v0, v2) = v7 & sdtasdt0(v7, v8) = v9 & sdtpldt0(v6, v9) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = sz00 |  ~ (aDimensionOf0(v1) = v2) |  ~ (aDimensionOf0(v0) = v2) |  ~ aVector0(v1) |  ~ aVector0(v0) |  ? [v3] :  ? [v4] :  ? [v5] : (sziznziztdt0(v1) = v5 & sziznziztdt0(v0) = v3 & aDimensionOf0(v5) = v4 & aDimensionOf0(v3) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (sziznziztdt0(v2) = v1) |  ~ (sziznziztdt0(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (aDimensionOf0(v2) = v1) |  ~ (aDimensionOf0(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (smndt0(v2) = v1) |  ~ (smndt0(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (sdtasdt0(v1, v1) = v2) |  ~ (sdtasdt0(v0, v0) = v2) |  ~ sdtlseqdt0(sz0z00, v1) |  ~ sdtlseqdt0(sz0z00, v0) |  ~ aScalar0(v1) |  ~ aScalar0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (szszuzczcdt0(v2) = v1) |  ~ (szszuzczcdt0(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (szszuzczcdt0(v1) = v2) |  ~ (szszuzczcdt0(v0) = v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (all_0_8_8 = sz0z00 |  ~ (smndt0(v0) = v1) |  ~ (sdtpldt0(v1, v0) = v2) |  ~ aScalar0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (all_0_8_8 = sz0z00 |  ~ (smndt0(v0) = v1) |  ~ (sdtpldt0(v0, v1) = v2) |  ~ aScalar0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasasdt0(v0, v1) = v2) |  ~ aVector0(v1) |  ~ aVector0(v0) | aScalar0(v2) |  ? [v3] :  ? [v4] : ( ~ (v4 = v3) & aDimensionOf0(v1) = v4 & aDimensionOf0(v0) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasasdt0(v0, v1) = v2) |  ~ aVector0(v1) |  ~ aVector0(v0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] : (sdtasasdt0(v5, v6) = v7 & sziznziztdt0(v1) = v6 & sziznziztdt0(v0) = v5 & sdtlbdtrb0(v1, v4) = v9 & sdtlbdtrb0(v0, v3) = v8 & aDimensionOf0(v1) = v4 & aDimensionOf0(v0) = v3 & sdtasdt0(v8, v9) = v10 & sdtpldt0(v7, v10) = v11 & ( ~ (v4 = v3) | v11 = v2 | v3 = sz00))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtlbdtrb0(v0, v1) = v2) |  ~ aVector0(v0) |  ~ aNaturalNumber0(v1) | aScalar0(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (aDimensionOf0(v1) = v2) |  ~ (aDimensionOf0(v0) = v2) |  ~ aVector0(v1) |  ~ aVector0(v0) |  ~ iLess0(v2, all_0_7_7) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (sdtasasdt0(v1, v1) = v6 & sdtasasdt0(v0, v1) = v3 & sdtasasdt0(v0, v0) = v5 & sdtasdt0(v5, v6) = v7 & sdtasdt0(v3, v3) = v4 & sdtlseqdt0(v4, v7))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (aDimensionOf0(v1) = v2) |  ~ (aDimensionOf0(v0) = v2) |  ~ aVector0(v1) |  ~ aVector0(v0) |  ? [v3] : (sdtasasdt0(v0, v1) = v3 & aScalar0(v3))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (smndt0(v0) = v1) |  ~ (sdtpldt0(v1, v0) = v2) |  ~ aScalar0(v0) | (smndt0(v1) = v0 & sdtasdt0(v0, sz0z00) = sz0z00 & sdtasdt0(sz0z00, v0) = sz0z00 & sdtpldt0(v0, v1) = sz0z00 & sdtpldt0(v0, sz0z00) = v0 & sdtpldt0(sz0z00, v0) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (smndt0(v0) = v1) |  ~ (sdtpldt0(v0, v1) = v2) |  ~ aScalar0(v0) | (smndt0(v1) = v0 & sdtasdt0(v0, sz0z00) = sz0z00 & sdtasdt0(sz0z00, v0) = sz0z00 & sdtpldt0(v1, v0) = sz0z00 & sdtpldt0(v0, sz0z00) = v0 & sdtpldt0(sz0z00, v0) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) |  ~ sdtlseqdt0(sz0z00, v1) |  ~ sdtlseqdt0(sz0z00, v0) |  ~ aScalar0(v1) |  ~ aScalar0(v0) | sdtlseqdt0(sz0z00, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) |  ~ sdtlseqdt0(sz0z00, v1) |  ~ sdtlseqdt0(sz0z00, v0) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v3] : (sdtpldt0(v0, v1) = v3 & sdtlseqdt0(sz0z00, v3))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) | aScalar0(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v3] :  ? [v4] :  ? [v5] : (smndt0(v2) = v4 & smndt0(v1) = v3 & smndt0(v0) = v5 & sdtasdt0(v5, v1) = v4 & sdtasdt0(v0, v3) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v3] :  ? [v4] : (smndt0(v1) = v4 & smndt0(v0) = v3 & sdtasdt0(v3, v4) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) |  ~ sdtlseqdt0(sz0z00, v1) |  ~ sdtlseqdt0(sz0z00, v0) |  ~ aScalar0(v1) |  ~ aScalar0(v0) | sdtlseqdt0(sz0z00, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) |  ~ sdtlseqdt0(sz0z00, v1) |  ~ sdtlseqdt0(sz0z00, v0) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v3] : (sdtasdt0(v0, v1) = v3 & sdtlseqdt0(sz0z00, v3))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) | aScalar0(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ sdtlseqdt0(v1, v2) |  ~ sdtlseqdt0(v0, v1) |  ~ aScalar0(v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) | sdtlseqdt0(v0, v2)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (sdtpldt0(v0, sz0z00) = v1) |  ~ aScalar0(v0)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (sdtpldt0(sz0z00, v0) = v1) |  ~ aScalar0(v0)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ sdtlseqdt0(v1, v0) |  ~ sdtlseqdt0(v0, v1) |  ~ aScalar0(v1) |  ~ aScalar0(v0)) &  ! [v0] :  ! [v1] : (v1 = sz0z00 |  ~ (sdtasdt0(v0, sz0z00) = v1) |  ~ aScalar0(v0)) &  ! [v0] :  ! [v1] : (v1 = sz0z00 |  ~ (sdtasdt0(sz0z00, v0) = v1) |  ~ aScalar0(v0)) &  ! [v0] :  ! [v1] : (v1 = sz00 |  ~ (aDimensionOf0(v0) = v1) |  ~ aVector0(v0) |  ? [v2] : (sziznziztdt0(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (sdtlbdtrb0(v2, v4) = v5) |  ~ (aDimensionOf0(v2) = v3) |  ~ aNaturalNumber0(v4) | sdtlbdtrb0(v0, v4) = v5) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (sdtlbdtrb0(v0, v4) = v5) |  ~ (aDimensionOf0(v2) = v3) |  ~ aNaturalNumber0(v4) | sdtlbdtrb0(v2, v4) = v5) &  ! [v3] :  ! [v4] : (v3 = v2 |  ~ (aDimensionOf0(v3) = v4) |  ~ aVector0(v3) |  ? [v5] :  ? [v6] :  ? [v7] : (( ~ (v7 = v6) & sdtlbdtrb0(v3, v5) = v6 & sdtlbdtrb0(v0, v5) = v7 & aNaturalNumber0(v5)) | ( ~ (v5 = v1) & szszuzczcdt0(v4) = v5))) &  ! [v3] : ( ~ (aDimensionOf0(v2) = v3) | szszuzczcdt0(v3) = v1) &  ! [v3] : ( ~ (aDimensionOf0(v2) = v3) | aVector0(v2)))) &  ! [v0] :  ! [v1] : (all_0_8_8 = sz0z00 |  ~ (smndt0(v0) = v1) |  ~ aScalar0(v0)) &  ! [v0] :  ! [v1] : (all_0_8_8 = sz0z00 |  ~ (sdtasdt0(v0, sz0z00) = v1) |  ~ aScalar0(v0)) &  ! [v0] :  ! [v1] : (all_0_8_8 = sz0z00 |  ~ (sdtasdt0(sz0z00, v0) = v1) |  ~ aScalar0(v0)) &  ! [v0] :  ! [v1] : (all_0_8_8 = sz0z00 |  ~ (sdtpldt0(v0, sz0z00) = v1) |  ~ aScalar0(v0)) &  ! [v0] :  ! [v1] : (all_0_8_8 = sz0z00 |  ~ (sdtpldt0(sz0z00, v0) = v1) |  ~ aScalar0(v0)) &  ! [v0] :  ! [v1] : ( ~ (sdtasasdt0(v0, v0) = v1) |  ~ aVector0(v0) | sdtlseqdt0(sz0z00, v1)) &  ! [v0] :  ! [v1] : ( ~ (sziznziztdt0(v0) = v1) |  ~ aVector0(v0) |  ? [v2] : (aDimensionOf0(v0) = v2 & (v2 = sz00 | ( ! [v3] :  ! [v4] :  ! [v5] : ( ~ (sdtlbdtrb0(v1, v4) = v5) |  ~ (aDimensionOf0(v1) = v3) |  ~ aNaturalNumber0(v4) | sdtlbdtrb0(v0, v4) = v5) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (sdtlbdtrb0(v0, v4) = v5) |  ~ (aDimensionOf0(v1) = v3) |  ~ aNaturalNumber0(v4) | sdtlbdtrb0(v1, v4) = v5) &  ! [v3] :  ! [v4] : (v3 = v1 |  ~ (aDimensionOf0(v3) = v4) |  ~ aVector0(v3) |  ? [v5] :  ? [v6] :  ? [v7] : (( ~ (v7 = v6) & sdtlbdtrb0(v3, v5) = v6 & sdtlbdtrb0(v0, v5) = v7 & aNaturalNumber0(v5)) | ( ~ (v5 = v2) & szszuzczcdt0(v4) = v5))) &  ! [v3] : ( ~ (aDimensionOf0(v1) = v3) | szszuzczcdt0(v3) = v2) &  ! [v3] : ( ~ (aDimensionOf0(v1) = v3) | aVector0(v1)))))) &  ! [v0] :  ! [v1] : ( ~ (sdtlbdtrb0(xq, v0) = v1) |  ~ aNaturalNumber0(v0) | sdtlbdtrb0(xt, v0) = v1) &  ! [v0] :  ! [v1] : ( ~ (sdtlbdtrb0(xp, v0) = v1) |  ~ aNaturalNumber0(v0) | sdtlbdtrb0(xs, v0) = v1) &  ! [v0] :  ! [v1] : ( ~ (sdtlbdtrb0(xt, v0) = v1) |  ~ aNaturalNumber0(v0) | sdtlbdtrb0(xq, v0) = v1) &  ! [v0] :  ! [v1] : ( ~ (sdtlbdtrb0(xs, v0) = v1) |  ~ aNaturalNumber0(v0) | sdtlbdtrb0(xp, v0) = v1) &  ! [v0] :  ! [v1] : ( ~ (aDimensionOf0(v1) = sz00) |  ~ (aDimensionOf0(v0) = sz00) |  ~ aVector0(v1) |  ~ aVector0(v0) | sdtasasdt0(v0, v1) = sz0z00) &  ! [v0] :  ! [v1] : ( ~ (aDimensionOf0(v0) = v1) |  ~ aVector0(v0) | aNaturalNumber0(v1)) &  ! [v0] :  ! [v1] : ( ~ (smndt0(v0) = v1) |  ~ aScalar0(v0) | aScalar0(v1)) &  ! [v0] :  ! [v1] : ( ~ (smndt0(v0) = v1) |  ~ aScalar0(v0) | (smndt0(v1) = v0 & sdtasdt0(v0, sz0z00) = sz0z00 & sdtasdt0(sz0z00, v0) = sz0z00 & sdtpldt0(v1, v0) = sz0z00 & sdtpldt0(v0, v1) = sz0z00 & sdtpldt0(v0, sz0z00) = v0 & sdtpldt0(sz0z00, v0) = v0)) &  ! [v0] :  ! [v1] : ( ~ (sdtasdt0(v0, v0) = v1) |  ~ aScalar0(v0) | sdtlseqdt0(sz0z00, v1)) &  ! [v0] :  ! [v1] : ( ~ (sdtasdt0(v0, sz0z00) = v1) |  ~ aScalar0(v0) |  ? [v2] : (smndt0(v2) = v0 & smndt0(v0) = v2 & sdtasdt0(sz0z00, v0) = sz0z00 & sdtpldt0(v2, v0) = sz0z00 & sdtpldt0(v0, v2) = sz0z00 & sdtpldt0(v0, sz0z00) = v0 & sdtpldt0(sz0z00, v0) = v0)) &  ! [v0] :  ! [v1] : ( ~ (sdtasdt0(sz0z00, v0) = v1) |  ~ aScalar0(v0) |  ? [v2] : (smndt0(v2) = v0 & smndt0(v0) = v2 & sdtasdt0(v0, sz0z00) = sz0z00 & sdtpldt0(v2, v0) = sz0z00 & sdtpldt0(v0, v2) = sz0z00 & sdtpldt0(v0, sz0z00) = v0 & sdtpldt0(sz0z00, v0) = v0)) &  ! [v0] :  ! [v1] : ( ~ (sdtpldt0(v0, sz0z00) = v1) |  ~ aScalar0(v0) |  ? [v2] : (smndt0(v2) = v0 & smndt0(v0) = v2 & sdtasdt0(v0, sz0z00) = sz0z00 & sdtasdt0(sz0z00, v0) = sz0z00 & sdtpldt0(v2, v0) = sz0z00 & sdtpldt0(v0, v2) = sz0z00 & sdtpldt0(sz0z00, v0) = v0)) &  ! [v0] :  ! [v1] : ( ~ (sdtpldt0(sz0z00, v0) = v1) |  ~ aScalar0(v0) |  ? [v2] : (smndt0(v2) = v0 & smndt0(v0) = v2 & sdtasdt0(v0, sz0z00) = sz0z00 & sdtasdt0(sz0z00, v0) = sz0z00 & sdtpldt0(v2, v0) = sz0z00 & sdtpldt0(v0, v2) = sz0z00 & sdtpldt0(v0, sz0z00) = v0)) &  ! [v0] :  ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) |  ~ aNaturalNumber0(v0) | iLess0(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) |  ~ aNaturalNumber0(v0) | aNaturalNumber0(v1)) &  ! [v0] :  ! [v1] : ( ~ aScalar0(v1) |  ~ aScalar0(v0) | sdtlseqdt0(v1, v0) | sdtlseqdt0(v0, v1)) &  ! [v0] : (v0 = sz00 |  ~ aNaturalNumber0(v0) |  ? [v1] : (szszuzczcdt0(v1) = v0 & aNaturalNumber0(v1))) &  ! [v0] : ( ~ (szszuzczcdt0(v0) = sz00) |  ~ aNaturalNumber0(v0)) &  ! [v0] : ( ~ aScalar0(v0) | sdtlseqdt0(v0, v0))
% 24.53/8.30  |
% 24.53/8.30  | Applying alpha-rule on (1) yields:
% 24.53/8.30  | (2) aVector0(xq)
% 24.53/8.30  | (3)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = sz0z00 |  ~ (smndt0(v0) = v1) |  ~ (sdtpldt0(v1, v0) = v2) |  ~ aScalar0(v0))
% 24.53/8.30  | (4) sdtasdt0(xA, xB) = xH
% 24.53/8.30  | (5)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v3] :  ? [v4] :  ? [v5] : (smndt0(v2) = v4 & smndt0(v1) = v3 & smndt0(v0) = v5 & sdtasdt0(v5, v1) = v4 & sdtasdt0(v0, v3) = v4))
% 24.53/8.30  | (6)  ! [v0] :  ! [v1] : ( ~ (aDimensionOf0(v0) = v1) |  ~ aVector0(v0) | aNaturalNumber0(v1))
% 24.53/8.30  | (7) szszuzczcdt0(all_0_6_6) = all_0_7_7
% 24.53/8.30  | (8)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : (v2 = sz00 |  ~ (sdtasasdt0(v3, v4) = v5) |  ~ (sziznziztdt0(v1) = v4) |  ~ (sziznziztdt0(v0) = v3) |  ~ (sdtlbdtrb0(v1, v2) = v7) |  ~ (sdtlbdtrb0(v0, v2) = v6) |  ~ (aDimensionOf0(v1) = v2) |  ~ (aDimensionOf0(v0) = v2) |  ~ (sdtasdt0(v6, v7) = v8) |  ~ (sdtpldt0(v5, v8) = v9) |  ~ aVector0(v1) |  ~ aVector0(v0) | sdtasasdt0(v0, v1) = v9)
% 24.53/8.30  | (9)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) | aScalar0(v2))
% 24.53/8.30  | (10)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (szszuzczcdt0(v1) = v2) |  ~ (szszuzczcdt0(v0) = v2) |  ~ aNaturalNumber0(v1) |  ~ aNaturalNumber0(v0))
% 24.53/8.30  | (11)  ! [v0] :  ! [v1] : (all_0_8_8 = sz0z00 |  ~ (sdtasdt0(v0, sz0z00) = v1) |  ~ aScalar0(v0))
% 24.53/8.30  | (12)  ! [v0] :  ! [v1] : ( ~ (sdtlbdtrb0(xt, v0) = v1) |  ~ aNaturalNumber0(v0) | sdtlbdtrb0(xq, v0) = v1)
% 24.53/8.31  | (13)  ! [v0] :  ! [v1] : ( ~ (sdtasdt0(v0, v0) = v1) |  ~ aScalar0(v0) | sdtlseqdt0(sz0z00, v1))
% 24.53/8.31  | (14) sdtasdt0(xA, xA) = xF
% 24.53/8.31  | (15)  ! [v0] :  ! [v1] : (all_0_8_8 = sz0z00 |  ~ (sdtpldt0(v0, sz0z00) = v1) |  ~ aScalar0(v0))
% 24.53/8.31  | (16)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (sdtasdt0(v1, v3) = v8) |  ~ (sdtasdt0(v1, v2) = v7) |  ~ (sdtasdt0(v0, v3) = v5) |  ~ (sdtasdt0(v0, v2) = v4) |  ~ (sdtpldt0(v7, v8) = v9) |  ~ (sdtpldt0(v6, v9) = v10) |  ~ (sdtpldt0(v4, v5) = v6) |  ~ aScalar0(v3) |  ~ aScalar0(v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v11] :  ? [v12] : (sdtasdt0(v11, v12) = v10 & sdtpldt0(v2, v3) = v12 & sdtpldt0(v0, v1) = v11))
% 24.53/8.31  | (17)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sziznziztdt0(v1) = v3) |  ~ (sziznziztdt0(v0) = v2) |  ~ aVector0(v1) |  ~ aVector0(v0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (aDimensionOf0(v3) = v7 & aDimensionOf0(v2) = v6 & aDimensionOf0(v1) = v5 & aDimensionOf0(v0) = v4 & ( ~ (v5 = v4) | v7 = v6 | v4 = sz00)))
% 24.53/8.31  | (18) sdtasdt0(xH, xH) = all_0_1_1
% 24.53/8.31  | (19) aScalar0(xH)
% 24.53/8.31  | (20)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (aDimensionOf0(v2) = v1) |  ~ (aDimensionOf0(v2) = v0))
% 24.53/8.31  | (21)  ! [v0] :  ! [v1] : ( ~ (sdtasasdt0(v0, v0) = v1) |  ~ aVector0(v0) | sdtlseqdt0(sz0z00, v1))
% 24.53/8.31  | (22)  ! [v0] :  ! [v1] : ( ~ (sdtlbdtrb0(xs, v0) = v1) |  ~ aNaturalNumber0(v0) | sdtlbdtrb0(xp, v0) = v1)
% 24.53/8.31  | (23) sdtasasdt0(xp, xp) = xC
% 24.53/8.31  | (24)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (smndt0(v0) = v1) |  ~ (sdtpldt0(v0, v1) = v2) |  ~ aScalar0(v0) | (smndt0(v1) = v0 & sdtasdt0(v0, sz0z00) = sz0z00 & sdtasdt0(sz0z00, v0) = sz0z00 & sdtpldt0(v1, v0) = sz0z00 & sdtpldt0(v0, sz0z00) = v0 & sdtpldt0(sz0z00, v0) = v0))
% 24.53/8.31  | (25)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (sdtasdt0(v1, v3) = v5) |  ~ (sdtasdt0(v0, v2) = v4) |  ~ sdtlseqdt0(v2, v3) |  ~ sdtlseqdt0(v0, v1) |  ~ sdtlseqdt0(sz0z00, v2) |  ~ aScalar0(v3) |  ~ aScalar0(v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) | sdtlseqdt0(v4, v5))
% 24.53/8.31  | (26)  ! [v0] :  ! [v1] : ( ~ (sdtasdt0(sz0z00, v0) = v1) |  ~ aScalar0(v0) |  ? [v2] : (smndt0(v2) = v0 & smndt0(v0) = v2 & sdtasdt0(v0, sz0z00) = sz0z00 & sdtpldt0(v2, v0) = sz0z00 & sdtpldt0(v0, v2) = sz0z00 & sdtpldt0(v0, sz0z00) = v0 & sdtpldt0(sz0z00, v0) = v0))
% 24.53/8.31  | (27) sdtasdt0(all_0_1_1, all_0_4_4) = all_0_0_0
% 24.53/8.31  | (28)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sziznziztdt0(v1) = v3) |  ~ (aDimensionOf0(v0) = v2) |  ~ aVector0(v1) |  ~ aVector0(v0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (sziznziztdt0(v0) = v5 & aDimensionOf0(v5) = v6 & aDimensionOf0(v3) = v7 & aDimensionOf0(v1) = v4 & ( ~ (v4 = v2) | v7 = v6 | v2 = sz00)))
% 24.53/8.31  | (29)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (sdtasasdt0(v3, v2) = v1) |  ~ (sdtasasdt0(v3, v2) = v0))
% 24.53/8.31  | (30)  ! [v0] : (v0 = sz00 |  ~ aNaturalNumber0(v0) |  ? [v1] : (szszuzczcdt0(v1) = v0 & aNaturalNumber0(v1)))
% 24.53/8.31  | (31)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (sdtpldt0(v1, v3) = v5) |  ~ (sdtpldt0(v0, v2) = v4) |  ~ sdtlseqdt0(v2, v3) |  ~ sdtlseqdt0(v0, v1) |  ~ aScalar0(v3) |  ~ aScalar0(v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) | sdtlseqdt0(v4, v5))
% 24.53/8.31  | (32)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (smndt0(v1) = v3) |  ~ (smndt0(v0) = v2) |  ~ (sdtasdt0(v2, v3) = v4) |  ~ aScalar0(v1) |  ~ aScalar0(v0) | sdtasdt0(v0, v1) = v4)
% 24.53/8.31  | (33) sziznziztdt0(xt) = xq
% 24.53/8.31  | (34)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (sdtpldt0(sz0z00, v0) = v1) |  ~ aScalar0(v0))
% 24.53/8.31  | (35) sdtasasdt0(xp, xq) = xE
% 24.53/8.31  | (36) szszuzczcdt0(all_0_5_5) = all_0_7_7
% 24.53/8.31  | (37)  ! [v0] :  ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) |  ~ aNaturalNumber0(v0) | aNaturalNumber0(v1))
% 24.53/8.31  | (38) aVector0(xp)
% 24.53/8.31  | (39)  ! [v0] :  ! [v1] : ( ~ (sdtpldt0(v0, sz0z00) = v1) |  ~ aScalar0(v0) |  ? [v2] : (smndt0(v2) = v0 & smndt0(v0) = v2 & sdtasdt0(v0, sz0z00) = sz0z00 & sdtasdt0(sz0z00, v0) = sz0z00 & sdtpldt0(v2, v0) = sz0z00 & sdtpldt0(v0, v2) = sz0z00 & sdtpldt0(sz0z00, v0) = v0))
% 24.53/8.31  | (40)  ! [v0] :  ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) |  ~ aNaturalNumber0(v0) | iLess0(v0, v1))
% 24.53/8.31  | (41)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) | aScalar0(v2))
% 24.53/8.31  | (42) sdtasasdt0(xq, xq) = xD
% 24.53/8.31  | (43)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = sz00 |  ~ (aDimensionOf0(v1) = v2) |  ~ (aDimensionOf0(v0) = v2) |  ~ aVector0(v1) |  ~ aVector0(v0) |  ? [v3] :  ? [v4] :  ? [v5] : (sziznziztdt0(v1) = v5 & sziznziztdt0(v0) = v3 & aDimensionOf0(v5) = v4 & aDimensionOf0(v3) = v4))
% 24.53/8.31  | (44)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ sdtlseqdt0(v1, v2) |  ~ sdtlseqdt0(v0, v1) |  ~ aScalar0(v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) | sdtlseqdt0(v0, v2))
% 24.53/8.31  | (45)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtasdt0(v3, v2) = v4) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ aScalar0(v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (sdtasdt0(v1, v2) = v9 & sdtasdt0(v0, v5) = v6 & sdtasdt0(v0, v2) = v8 & sdtasdt0(v0, v1) = v7 & sdtpldt0(v8, v9) = v4 & sdtpldt0(v7, v8) = v6 & sdtpldt0(v1, v2) = v5))
% 24.53/8.31  | (46)  ! [v0] :  ! [v1] : ( ~ (sziznziztdt0(v0) = v1) |  ~ aVector0(v0) |  ? [v2] : (aDimensionOf0(v0) = v2 & (v2 = sz00 | ( ! [v3] :  ! [v4] :  ! [v5] : ( ~ (sdtlbdtrb0(v1, v4) = v5) |  ~ (aDimensionOf0(v1) = v3) |  ~ aNaturalNumber0(v4) | sdtlbdtrb0(v0, v4) = v5) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (sdtlbdtrb0(v0, v4) = v5) |  ~ (aDimensionOf0(v1) = v3) |  ~ aNaturalNumber0(v4) | sdtlbdtrb0(v1, v4) = v5) &  ! [v3] :  ! [v4] : (v3 = v1 |  ~ (aDimensionOf0(v3) = v4) |  ~ aVector0(v3) |  ? [v5] :  ? [v6] :  ? [v7] : (( ~ (v7 = v6) & sdtlbdtrb0(v3, v5) = v6 & sdtlbdtrb0(v0, v5) = v7 & aNaturalNumber0(v5)) | ( ~ (v5 = v2) & szszuzczcdt0(v4) = v5))) &  ! [v3] : ( ~ (aDimensionOf0(v1) = v3) | szszuzczcdt0(v3) = v2) &  ! [v3] : ( ~ (aDimensionOf0(v1) = v3) | aVector0(v1))))))
% 24.53/8.31  | (47) aScalar0(xA)
% 24.53/8.31  | (48)  ~ (all_0_7_7 = sz00)
% 24.53/8.31  | (49)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasasdt0(v0, v1) = v2) |  ~ aVector0(v1) |  ~ aVector0(v0) | aScalar0(v2) |  ? [v3] :  ? [v4] : ( ~ (v4 = v3) & aDimensionOf0(v1) = v4 & aDimensionOf0(v0) = v3))
% 24.53/8.31  | (50)  ! [v0] :  ! [v1] : ( ~ (sdtlbdtrb0(xp, v0) = v1) |  ~ aNaturalNumber0(v0) | sdtlbdtrb0(xs, v0) = v1)
% 24.53/8.32  | (51)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtlbdtrb0(v0, v1) = v2) |  ~ aVector0(v0) |  ~ aNaturalNumber0(v1) | aScalar0(v2))
% 24.53/8.32  | (52)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (aDimensionOf0(v1) = v2) |  ~ (aDimensionOf0(v0) = v2) |  ~ aVector0(v1) |  ~ aVector0(v0) |  ~ iLess0(v2, all_0_7_7) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (sdtasasdt0(v1, v1) = v6 & sdtasasdt0(v0, v1) = v3 & sdtasasdt0(v0, v0) = v5 & sdtasdt0(v5, v6) = v7 & sdtasdt0(v3, v3) = v4 & sdtlseqdt0(v4, v7)))
% 24.53/8.32  | (53) aScalar0(xE)
% 24.53/8.32  | (54)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtasdt0(v3, v2) = v4) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ aScalar0(v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (sdtasdt0(v1, v2) = v8 & sdtasdt0(v1, v0) = v3 & sdtasdt0(v0, v8) = v4 & sdtpldt0(v5, v2) = v6 & sdtpldt0(v1, v2) = v7 & sdtpldt0(v1, v0) = v5 & sdtpldt0(v0, v7) = v6 & sdtpldt0(v0, v1) = v5))
% 24.53/8.32  | (55)  ! [v0] :  ! [v1] : ( ~ (sdtpldt0(sz0z00, v0) = v1) |  ~ aScalar0(v0) |  ? [v2] : (smndt0(v2) = v0 & smndt0(v0) = v2 & sdtasdt0(v0, sz0z00) = sz0z00 & sdtasdt0(sz0z00, v0) = sz0z00 & sdtpldt0(v2, v0) = sz0z00 & sdtpldt0(v0, v2) = sz0z00 & sdtpldt0(v0, sz0z00) = v0))
% 24.53/8.32  | (56)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) |  ~ sdtlseqdt0(sz0z00, v1) |  ~ sdtlseqdt0(sz0z00, v0) |  ~ aScalar0(v1) |  ~ aScalar0(v0) | sdtlseqdt0(sz0z00, v2))
% 24.53/8.32  | (57) sziznziztdt0(xs) = xp
% 24.53/8.32  | (58)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) |  ~ sdtlseqdt0(sz0z00, v1) |  ~ sdtlseqdt0(sz0z00, v0) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v3] : (sdtpldt0(v0, v1) = v3 & sdtlseqdt0(sz0z00, v3)))
% 24.53/8.32  | (59) sdtasdt0(xC, xD) = all_0_3_3
% 24.53/8.32  | (60)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (szszuzczcdt0(v2) = v1) |  ~ (szszuzczcdt0(v2) = v0))
% 24.53/8.32  | (61) sdtasdt0(xB, xB) = xG
% 24.53/8.32  | (62)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = sz00 |  ~ (sziznziztdt0(v0) = v3) |  ~ (aDimensionOf0(v1) = v2) |  ~ aVector0(v1) |  ~ aVector0(v0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (sziznziztdt0(v1) = v6 & aDimensionOf0(v6) = v7 & aDimensionOf0(v3) = v5 & aDimensionOf0(v0) = v4 & ( ~ (v4 = v2) | v7 = v5)))
% 24.53/8.32  | (63)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtpldt0(v1, v2) = v3) |  ~ (sdtpldt0(v0, v3) = v4) |  ~ aScalar0(v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (sdtasdt0(v6, v2) = v7 & sdtasdt0(v1, v2) = v8 & sdtasdt0(v1, v0) = v6 & sdtasdt0(v0, v8) = v7 & sdtasdt0(v0, v1) = v6 & sdtpldt0(v5, v2) = v4 & sdtpldt0(v1, v0) = v5 & sdtpldt0(v0, v1) = v5))
% 24.53/8.32  | (64)  ! [v0] :  ! [v1] :  ! [v2] : (all_0_8_8 = sz0z00 |  ~ (smndt0(v0) = v1) |  ~ (sdtpldt0(v1, v0) = v2) |  ~ aScalar0(v0))
% 24.53/8.32  | (65)  ! [v0] : ( ~ aScalar0(v0) | sdtlseqdt0(v0, v0))
% 24.53/8.32  | (66)  ! [v0] :  ! [v1] : ( ~ (sdtasdt0(v0, sz0z00) = v1) |  ~ aScalar0(v0) |  ? [v2] : (smndt0(v2) = v0 & smndt0(v0) = v2 & sdtasdt0(sz0z00, v0) = sz0z00 & sdtpldt0(v2, v0) = sz0z00 & sdtpldt0(v0, v2) = sz0z00 & sdtpldt0(v0, sz0z00) = v0 & sdtpldt0(sz0z00, v0) = v0))
% 24.53/8.32  | (67)  ! [v0] :  ! [v1] : (v1 = sz0z00 |  ~ (sdtasdt0(v0, sz0z00) = v1) |  ~ aScalar0(v0))
% 24.53/8.32  | (68) aScalar0(xR)
% 24.53/8.32  | (69) sdtasdt0(xP, xP) = all_0_2_2
% 24.53/8.32  | (70) aScalar0(xC)
% 24.53/8.32  | (71)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (sdtpldt0(v3, v2) = v1) |  ~ (sdtpldt0(v3, v2) = v0))
% 24.53/8.32  | (72)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (sdtasdt0(v0, v2) = v4) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ (sdtpldt0(v3, v4) = v5) |  ~ aScalar0(v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (sdtasdt0(v7, v2) = v8 & sdtasdt0(v1, v2) = v9 & sdtasdt0(v0, v6) = v5 & sdtpldt0(v4, v9) = v8 & sdtpldt0(v1, v2) = v6 & sdtpldt0(v0, v1) = v7))
% 24.53/8.32  | (73) aScalar0(xB)
% 24.53/8.32  | (74)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (sziznziztdt0(v2) = v1) |  ~ (sziznziztdt0(v2) = v0))
% 24.53/8.32  | (75)  ~ (all_0_0_0 = all_0_2_2)
% 24.53/8.32  | (76)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (sdtasdt0(v1, v2) = v4) |  ~ (sdtasdt0(v0, v2) = v3) |  ~ (sdtpldt0(v3, v4) = v5) |  ~ aScalar0(v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (sdtasdt0(v9, v2) = v5 & sdtasdt0(v0, v6) = v7 & sdtasdt0(v0, v1) = v8 & sdtpldt0(v8, v3) = v7 & sdtpldt0(v1, v2) = v6 & sdtpldt0(v0, v1) = v9))
% 24.53/8.32  | (77) sdtasdt0(xR, xS) = xN
% 24.53/8.32  | (78) sdtlbdtrb0(xs, all_0_7_7) = xA
% 24.53/8.32  | (79) smndt0(sz0z00) = all_0_8_8
% 24.53/8.32  | (80) aScalar0(xF)
% 24.53/8.32  | (81)  ! [v0] :  ! [v1] : (v1 = sz0z00 |  ~ (sdtasdt0(sz0z00, v0) = v1) |  ~ aScalar0(v0))
% 24.53/8.32  | (82) aScalar0(xS)
% 24.53/8.32  | (83)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) |  ~ sdtlseqdt0(sz0z00, v1) |  ~ sdtlseqdt0(sz0z00, v0) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v3] : (sdtasdt0(v0, v1) = v3 & sdtlseqdt0(sz0z00, v3)))
% 24.53/8.32  | (84)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v3] :  ? [v4] : (smndt0(v1) = v4 & smndt0(v0) = v3 & sdtasdt0(v3, v4) = v2))
% 24.53/8.32  | (85)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sdtasasdt0(v0, v1) = v2) |  ~ (sdtasdt0(v2, v2) = v3) |  ~ aVector0(v1) |  ~ aVector0(v0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (sdtasasdt0(v1, v1) = v7 & sdtasasdt0(v0, v0) = v6 & aDimensionOf0(v1) = v5 & aDimensionOf0(v0) = v4 & sdtasdt0(v6, v7) = v8 & ( ~ (v5 = v4) |  ~ iLess0(v4, all_0_7_7) | sdtlseqdt0(v3, v8))))
% 24.53/8.32  | (86) aVector0(xt)
% 24.53/8.32  | (87) aNaturalNumber0(sz00)
% 24.53/8.32  | (88)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (smndt0(v1) = v2) |  ~ (sdtasdt0(v0, v2) = v3) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v4] :  ? [v5] : (smndt0(v4) = v3 & smndt0(v0) = v5 & sdtasdt0(v5, v1) = v3 & sdtasdt0(v0, v1) = v4))
% 24.53/8.32  | (89) aDimensionOf0(xs) = all_0_7_7
% 24.53/8.32  | (90) aVector0(xs)
% 24.53/8.32  | (91) sdtasdt0(xF, xD) = xS
% 24.53/8.32  | (92)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (aDimensionOf0(v1) = v2) |  ~ (aDimensionOf0(v0) = v2) |  ~ aVector0(v1) |  ~ aVector0(v0) |  ? [v3] : (sdtasasdt0(v0, v1) = v3 & aScalar0(v3)))
% 24.53/8.33  | (93)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtasdt0(v0, v3) = v4) |  ~ (sdtpldt0(v1, v2) = v3) |  ~ aScalar0(v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (sdtasdt0(v7, v2) = v8 & sdtasdt0(v1, v2) = v9 & sdtasdt0(v0, v2) = v6 & sdtasdt0(v0, v1) = v5 & sdtpldt0(v6, v9) = v8 & sdtpldt0(v5, v6) = v4 & sdtpldt0(v0, v1) = v7))
% 24.53/8.33  | (94)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (sdtlbdtrb0(v3, v2) = v1) |  ~ (sdtlbdtrb0(v3, v2) = v0))
% 24.53/8.33  | (95)  ! [v0] :  ! [v1] : ( ~ aScalar0(v1) |  ~ aScalar0(v0) | sdtlseqdt0(v1, v0) | sdtlseqdt0(v0, v1))
% 24.53/8.33  | (96)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (smndt0(v2) = v1) |  ~ (smndt0(v2) = v0))
% 24.53/8.33  | (97)  ! [v0] :  ! [v1] : (all_0_8_8 = sz0z00 |  ~ (sdtpldt0(sz0z00, v0) = v1) |  ~ aScalar0(v0))
% 24.53/8.33  | (98)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (sdtasdt0(v3, v2) = v1) |  ~ (sdtasdt0(v3, v2) = v0))
% 24.53/8.33  | (99)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = sz00 |  ~ (aDimensionOf0(v1) = v2) |  ~ (aDimensionOf0(v0) = v2) |  ~ aVector0(v1) |  ~ aVector0(v0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (sdtasasdt0(v4, v5) = v6 & sdtasasdt0(v0, v1) = v3 & sziznziztdt0(v1) = v5 & sziznziztdt0(v0) = v4 & sdtlbdtrb0(v1, v2) = v8 & sdtlbdtrb0(v0, v2) = v7 & sdtasdt0(v7, v8) = v9 & sdtpldt0(v6, v9) = v3))
% 24.53/8.33  | (100) aScalar0(sz0z00)
% 24.53/8.33  | (101)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (smndt0(v0) = v1) |  ~ (sdtpldt0(v1, v0) = v2) |  ~ aScalar0(v0) | (smndt0(v1) = v0 & sdtasdt0(v0, sz0z00) = sz0z00 & sdtasdt0(sz0z00, v0) = sz0z00 & sdtpldt0(v0, v1) = sz0z00 & sdtpldt0(v0, sz0z00) = v0 & sdtpldt0(sz0z00, v0) = v0))
% 24.53/8.33  | (102)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtasasdt0(v1, v1) = v3) |  ~ (sdtasasdt0(v0, v0) = v2) |  ~ (sdtasdt0(v2, v3) = v4) |  ~ aVector0(v1) |  ~ aVector0(v0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (sdtasasdt0(v0, v1) = v7 & aDimensionOf0(v1) = v6 & aDimensionOf0(v0) = v5 & sdtasdt0(v7, v7) = v8 & ( ~ (v6 = v5) |  ~ iLess0(v5, all_0_7_7) | sdtlseqdt0(v8, v4))))
% 24.53/8.33  | (103)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) |  ~ sdtlseqdt0(sz0z00, v1) |  ~ sdtlseqdt0(sz0z00, v0) |  ~ aScalar0(v1) |  ~ aScalar0(v0) | sdtlseqdt0(sz0z00, v2))
% 24.53/8.33  | (104) aDimensionOf0(xp) = all_0_6_6
% 24.53/8.33  | (105) sdtlseqdt0(all_0_4_4, all_0_3_3)
% 24.53/8.33  | (106)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasasdt0(v0, v1) = v2) |  ~ aVector0(v1) |  ~ aVector0(v0) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] : (sdtasasdt0(v5, v6) = v7 & sziznziztdt0(v1) = v6 & sziznziztdt0(v0) = v5 & sdtlbdtrb0(v1, v4) = v9 & sdtlbdtrb0(v0, v3) = v8 & aDimensionOf0(v1) = v4 & aDimensionOf0(v0) = v3 & sdtasdt0(v8, v9) = v10 & sdtpldt0(v7, v10) = v11 & ( ~ (v4 = v3) | v11 = v2 | v3 = sz00)))
% 24.53/8.33  | (107) sdtlbdtrb0(xt, all_0_7_7) = xB
% 24.53/8.33  | (108)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (smndt0(v0) = v2) |  ~ (sdtasdt0(v2, v1) = v3) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v4] :  ? [v5] : (smndt0(v5) = v3 & smndt0(v1) = v4 & sdtasdt0(v0, v4) = v3 & sdtasdt0(v0, v1) = v5))
% 24.53/8.33  | (109)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = sz0z00 |  ~ (smndt0(v0) = v1) |  ~ (sdtpldt0(v0, v1) = v2) |  ~ aScalar0(v0))
% 24.53/8.33  | (110) aScalar0(xG)
% 24.53/8.33  | (111)  ! [v0] :  ! [v1] : ( ~ (sdtlbdtrb0(xq, v0) = v1) |  ~ aNaturalNumber0(v0) | sdtlbdtrb0(xt, v0) = v1)
% 24.53/8.33  | (112)  ! [v0] :  ! [v1] : ( ~ (aDimensionOf0(v1) = sz00) |  ~ (aDimensionOf0(v0) = sz00) |  ~ aVector0(v1) |  ~ aVector0(v0) | sdtasasdt0(v0, v1) = sz0z00)
% 24.53/8.33  | (113) sdtasdt0(xE, xE) = all_0_4_4
% 24.53/8.33  | (114)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ sdtlseqdt0(v1, v0) |  ~ sdtlseqdt0(v0, v1) |  ~ aScalar0(v1) |  ~ aScalar0(v0))
% 24.53/8.33  | (115) sdtasdt0(xE, xH) = xP
% 24.53/8.33  | (116)  ! [v0] :  ! [v1] : (all_0_8_8 = sz0z00 |  ~ (smndt0(v0) = v1) |  ~ aScalar0(v0))
% 24.53/8.33  | (117) aDimensionOf0(xq) = all_0_5_5
% 24.53/8.33  | (118) sdtasdt0(xC, xG) = xR
% 24.53/8.33  | (119)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtasdt0(v1, v2) = v3) |  ~ (sdtasdt0(v0, v3) = v4) |  ~ aScalar0(v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (sdtasdt0(v8, v2) = v4 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v1) = v8 & sdtpldt0(v5, v2) = v6 & sdtpldt0(v1, v2) = v7 & sdtpldt0(v1, v0) = v5 & sdtpldt0(v0, v7) = v6 & sdtpldt0(v0, v1) = v5))
% 24.53/8.33  | (120) aScalar0(xN)
% 24.53/8.33  | (121) aScalar0(xP)
% 24.53/8.33  | (122)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (sdtasdt0(v4, v5) = v6) |  ~ (sdtpldt0(v2, v3) = v5) |  ~ (sdtpldt0(v0, v1) = v4) |  ~ aScalar0(v3) |  ~ aScalar0(v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : (sdtasdt0(v1, v3) = v11 & sdtasdt0(v1, v2) = v10 & sdtasdt0(v0, v3) = v8 & sdtasdt0(v0, v2) = v7 & sdtpldt0(v10, v11) = v12 & sdtpldt0(v9, v12) = v6 & sdtpldt0(v7, v8) = v9))
% 24.53/8.33  | (123)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = sz0z00 |  ~ (sdtasasdt0(v0, v1) = v2) |  ~ aVector0(v1) |  ~ aVector0(v0) |  ? [v3] :  ? [v4] : (aDimensionOf0(v1) = v4 & aDimensionOf0(v0) = v3 & ( ~ (v4 = sz00) |  ~ (v3 = sz00))))
% 24.53/8.33  | (124) aDimensionOf0(xt) = all_0_7_7
% 24.53/8.34  | (125)  ! [v0] :  ! [v1] : ( ~ (smndt0(v0) = v1) |  ~ aScalar0(v0) | aScalar0(v1))
% 24.53/8.34  | (126)  ! [v0] :  ! [v1] : (v1 = sz00 |  ~ (aDimensionOf0(v0) = v1) |  ~ aVector0(v0) |  ? [v2] : (sziznziztdt0(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (sdtlbdtrb0(v2, v4) = v5) |  ~ (aDimensionOf0(v2) = v3) |  ~ aNaturalNumber0(v4) | sdtlbdtrb0(v0, v4) = v5) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (sdtlbdtrb0(v0, v4) = v5) |  ~ (aDimensionOf0(v2) = v3) |  ~ aNaturalNumber0(v4) | sdtlbdtrb0(v2, v4) = v5) &  ! [v3] :  ! [v4] : (v3 = v2 |  ~ (aDimensionOf0(v3) = v4) |  ~ aVector0(v3) |  ? [v5] :  ? [v6] :  ? [v7] : (( ~ (v7 = v6) & sdtlbdtrb0(v3, v5) = v6 & sdtlbdtrb0(v0, v5) = v7 & aNaturalNumber0(v5)) | ( ~ (v5 = v1) & szszuzczcdt0(v4) = v5))) &  ! [v3] : ( ~ (aDimensionOf0(v2) = v3) | szszuzczcdt0(v3) = v1) &  ! [v3] : ( ~ (aDimensionOf0(v2) = v3) | aVector0(v2))))
% 24.53/8.34  | (127)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (sdtpldt0(v0, sz0z00) = v1) |  ~ aScalar0(v0))
% 24.53/8.34  | (128)  ! [v0] :  ! [v1] : ( ~ (smndt0(v0) = v1) |  ~ aScalar0(v0) | (smndt0(v1) = v0 & sdtasdt0(v0, sz0z00) = sz0z00 & sdtasdt0(sz0z00, v0) = sz0z00 & sdtpldt0(v1, v0) = sz0z00 & sdtpldt0(v0, v1) = sz0z00 & sdtpldt0(v0, sz0z00) = v0 & sdtpldt0(sz0z00, v0) = v0))
% 24.53/8.34  | (129)  ! [v0] : ( ~ (szszuzczcdt0(v0) = sz00) |  ~ aNaturalNumber0(v0))
% 24.53/8.34  | (130) aScalar0(xD)
% 24.53/8.34  | (131)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ aScalar0(v2) |  ~ aScalar0(v1) |  ~ aScalar0(v0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (sdtasdt0(v6, v2) = v7 & sdtasdt0(v1, v2) = v8 & sdtasdt0(v1, v0) = v6 & sdtasdt0(v0, v8) = v7 & sdtasdt0(v0, v1) = v6 & sdtpldt0(v1, v2) = v5 & sdtpldt0(v1, v0) = v3 & sdtpldt0(v0, v5) = v4))
% 24.53/8.34  | (132)  ! [v0] :  ! [v1] :  ! [v2] : (all_0_8_8 = sz0z00 |  ~ (smndt0(v0) = v1) |  ~ (sdtpldt0(v0, v1) = v2) |  ~ aScalar0(v0))
% 24.53/8.34  | (133)  ! [v0] :  ! [v1] : (all_0_8_8 = sz0z00 |  ~ (sdtasdt0(sz0z00, v0) = v1) |  ~ aScalar0(v0))
% 24.53/8.34  | (134)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (sdtasdt0(v1, v1) = v2) |  ~ (sdtasdt0(v0, v0) = v2) |  ~ sdtlseqdt0(sz0z00, v1) |  ~ sdtlseqdt0(sz0z00, v0) |  ~ aScalar0(v1) |  ~ aScalar0(v0))
% 24.53/8.34  |
% 24.53/8.34  | Instantiating formula (99) with all_0_7_7, xt, xt and discharging atoms aDimensionOf0(xt) = all_0_7_7, aVector0(xt), yields:
% 24.53/8.34  | (135) all_0_7_7 = sz00 |  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (sdtasasdt0(v1, v2) = v3 & sdtasasdt0(xt, xt) = v0 & sziznziztdt0(xt) = v2 & sziznziztdt0(xt) = v1 & sdtlbdtrb0(xt, all_0_7_7) = v5 & sdtlbdtrb0(xt, all_0_7_7) = v4 & sdtasdt0(v4, v5) = v6 & sdtpldt0(v3, v6) = v0)
% 24.53/8.34  |
% 24.53/8.34  | Instantiating formula (126) with all_0_7_7, xt and discharging atoms aDimensionOf0(xt) = all_0_7_7, aVector0(xt), yields:
% 24.53/8.34  | (136) all_0_7_7 = sz00 |  ? [v0] : (sziznziztdt0(xt) = v0 &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sdtlbdtrb0(v0, v2) = v3) |  ~ (aDimensionOf0(v0) = v1) |  ~ aNaturalNumber0(v2) | sdtlbdtrb0(xt, v2) = v3) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sdtlbdtrb0(xt, v2) = v3) |  ~ (aDimensionOf0(v0) = v1) |  ~ aNaturalNumber0(v2) | sdtlbdtrb0(v0, v2) = v3) &  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (aDimensionOf0(v1) = v2) |  ~ aVector0(v1) |  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v5 = v4) & sdtlbdtrb0(v1, v3) = v4 & sdtlbdtrb0(xt, v3) = v5 & aNaturalNumber0(v3)) | ( ~ (v3 = all_0_7_7) & szszuzczcdt0(v2) = v3))) &  ! [v1] : ( ~ (aDimensionOf0(v0) = v1) | szszuzczcdt0(v1) = all_0_7_7) &  ! [v1] : ( ~ (aDimensionOf0(v0) = v1) | aVector0(v0)))
% 24.53/8.34  |
% 24.53/8.34  | Instantiating formula (62) with xq, all_0_7_7, xs, xt and discharging atoms sziznziztdt0(xt) = xq, aDimensionOf0(xs) = all_0_7_7, aVector0(xt), aVector0(xs), yields:
% 24.53/8.34  | (137) all_0_7_7 = sz00 |  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (sziznziztdt0(xs) = v2 & aDimensionOf0(v2) = v3 & aDimensionOf0(xq) = v1 & aDimensionOf0(xt) = v0 & ( ~ (v0 = all_0_7_7) | v3 = v1))
% 24.53/8.34  |
% 24.53/8.34  | Instantiating formula (28) with xq, all_0_7_7, xt, xs and discharging atoms sziznziztdt0(xt) = xq, aDimensionOf0(xs) = all_0_7_7, aVector0(xt), aVector0(xs), yields:
% 24.53/8.34  | (138)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (sziznziztdt0(xs) = v1 & aDimensionOf0(v1) = v2 & aDimensionOf0(xq) = v3 & aDimensionOf0(xt) = v0 & ( ~ (v0 = all_0_7_7) | v3 = v2 | all_0_7_7 = sz00))
% 24.53/8.34  |
% 24.53/8.34  | Instantiating formula (62) with xp, all_0_7_7, xt, xs and discharging atoms sziznziztdt0(xs) = xp, aDimensionOf0(xt) = all_0_7_7, aVector0(xt), aVector0(xs), yields:
% 24.53/8.34  | (139) all_0_7_7 = sz00 |  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (sziznziztdt0(xt) = v2 & aDimensionOf0(v2) = v3 & aDimensionOf0(xp) = v1 & aDimensionOf0(xs) = v0 & ( ~ (v0 = all_0_7_7) | v3 = v1))
% 24.53/8.34  |
% 24.53/8.34  | Instantiating formula (28) with xp, all_0_7_7, xs, xt and discharging atoms sziznziztdt0(xs) = xp, aDimensionOf0(xt) = all_0_7_7, aVector0(xt), aVector0(xs), yields:
% 24.53/8.34  | (140)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (sziznziztdt0(xt) = v1 & aDimensionOf0(v1) = v2 & aDimensionOf0(xp) = v3 & aDimensionOf0(xs) = v0 & ( ~ (v0 = all_0_7_7) | v3 = v2 | all_0_7_7 = sz00))
% 24.53/8.34  |
% 24.53/8.34  | Instantiating formula (99) with all_0_7_7, xt, xs and discharging atoms aDimensionOf0(xt) = all_0_7_7, aDimensionOf0(xs) = all_0_7_7, aVector0(xt), aVector0(xs), yields:
% 24.53/8.34  | (141) all_0_7_7 = sz00 |  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (sdtasasdt0(v1, v2) = v3 & sdtasasdt0(xs, xt) = v0 & sziznziztdt0(xt) = v2 & sziznziztdt0(xs) = v1 & sdtlbdtrb0(xt, all_0_7_7) = v5 & sdtlbdtrb0(xs, all_0_7_7) = v4 & sdtasdt0(v4, v5) = v6 & sdtpldt0(v3, v6) = v0)
% 24.53/8.34  |
% 24.53/8.34  | Instantiating formula (43) with all_0_7_7, xt, xs and discharging atoms aDimensionOf0(xt) = all_0_7_7, aDimensionOf0(xs) = all_0_7_7, aVector0(xt), aVector0(xs), yields:
% 24.53/8.34  | (142) all_0_7_7 = sz00 |  ? [v0] :  ? [v1] :  ? [v2] : (sziznziztdt0(xt) = v2 & sziznziztdt0(xs) = v0 & aDimensionOf0(v2) = v1 & aDimensionOf0(v0) = v1)
% 24.53/8.34  |
% 24.53/8.34  | Instantiating formula (92) with all_0_7_7, xt, xs and discharging atoms aDimensionOf0(xt) = all_0_7_7, aDimensionOf0(xs) = all_0_7_7, aVector0(xt), aVector0(xs), yields:
% 24.53/8.34  | (143)  ? [v0] : (sdtasasdt0(xs, xt) = v0 & aScalar0(v0))
% 24.53/8.34  |
% 24.53/8.34  | Instantiating formula (99) with all_0_7_7, xs, xs and discharging atoms aDimensionOf0(xs) = all_0_7_7, aVector0(xs), yields:
% 24.53/8.34  | (144) all_0_7_7 = sz00 |  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (sdtasasdt0(v1, v2) = v3 & sdtasasdt0(xs, xs) = v0 & sziznziztdt0(xs) = v2 & sziznziztdt0(xs) = v1 & sdtlbdtrb0(xs, all_0_7_7) = v5 & sdtlbdtrb0(xs, all_0_7_7) = v4 & sdtasdt0(v4, v5) = v6 & sdtpldt0(v3, v6) = v0)
% 24.53/8.34  |
% 24.53/8.34  | Instantiating formula (99) with all_0_7_7, xs, xt and discharging atoms aDimensionOf0(xt) = all_0_7_7, aDimensionOf0(xs) = all_0_7_7, aVector0(xt), aVector0(xs), yields:
% 24.53/8.34  | (145) all_0_7_7 = sz00 |  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (sdtasasdt0(v1, v2) = v3 & sdtasasdt0(xt, xs) = v0 & sziznziztdt0(xt) = v1 & sziznziztdt0(xs) = v2 & sdtlbdtrb0(xt, all_0_7_7) = v4 & sdtlbdtrb0(xs, all_0_7_7) = v5 & sdtasdt0(v4, v5) = v6 & sdtpldt0(v3, v6) = v0)
% 24.53/8.34  |
% 24.53/8.34  | Instantiating formula (43) with all_0_7_7, xs, xt and discharging atoms aDimensionOf0(xt) = all_0_7_7, aDimensionOf0(xs) = all_0_7_7, aVector0(xt), aVector0(xs), yields:
% 24.53/8.34  | (146) all_0_7_7 = sz00 |  ? [v0] :  ? [v1] :  ? [v2] : (sziznziztdt0(xt) = v0 & sziznziztdt0(xs) = v2 & aDimensionOf0(v2) = v1 & aDimensionOf0(v0) = v1)
% 24.53/8.34  |
% 24.53/8.34  | Instantiating formula (126) with all_0_7_7, xs and discharging atoms aDimensionOf0(xs) = all_0_7_7, aVector0(xs), yields:
% 24.53/8.34  | (147) all_0_7_7 = sz00 |  ? [v0] : (sziznziztdt0(xs) = v0 &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sdtlbdtrb0(v0, v2) = v3) |  ~ (aDimensionOf0(v0) = v1) |  ~ aNaturalNumber0(v2) | sdtlbdtrb0(xs, v2) = v3) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sdtlbdtrb0(xs, v2) = v3) |  ~ (aDimensionOf0(v0) = v1) |  ~ aNaturalNumber0(v2) | sdtlbdtrb0(v0, v2) = v3) &  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (aDimensionOf0(v1) = v2) |  ~ aVector0(v1) |  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v5 = v4) & sdtlbdtrb0(v1, v3) = v4 & sdtlbdtrb0(xs, v3) = v5 & aNaturalNumber0(v3)) | ( ~ (v3 = all_0_7_7) & szszuzczcdt0(v2) = v3))) &  ! [v1] : ( ~ (aDimensionOf0(v0) = v1) | szszuzczcdt0(v1) = all_0_7_7) &  ! [v1] : ( ~ (aDimensionOf0(v0) = v1) | aVector0(v0)))
% 24.53/8.35  |
% 24.53/8.35  | Instantiating formula (54) with all_0_2_2, xP, xP, xH, xE and discharging atoms sdtasdt0(xP, xP) = all_0_2_2, sdtasdt0(xE, xH) = xP, aScalar0(xP), aScalar0(xH), aScalar0(xE), yields:
% 24.53/8.35  | (148)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (sdtasdt0(xH, xP) = v3 & sdtasdt0(xH, xE) = xP & sdtasdt0(xE, v3) = all_0_2_2 & sdtpldt0(v0, xP) = v1 & sdtpldt0(xH, xP) = v2 & sdtpldt0(xH, xE) = v0 & sdtpldt0(xE, v2) = v1 & sdtpldt0(xE, xH) = v0)
% 24.53/8.35  |
% 24.53/8.35  | Instantiating formula (119) with all_0_2_2, xP, xH, xE, xP and discharging atoms sdtasdt0(xP, xP) = all_0_2_2, sdtasdt0(xE, xH) = xP, aScalar0(xP), aScalar0(xH), aScalar0(xE), yields:
% 24.53/8.35  | (149)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (sdtasdt0(v3, xH) = all_0_2_2 & sdtasdt0(xP, xE) = v3 & sdtasdt0(xE, xP) = v3 & sdtpldt0(v0, xH) = v1 & sdtpldt0(xP, v2) = v1 & sdtpldt0(xP, xE) = v0 & sdtpldt0(xE, xP) = v0 & sdtpldt0(xE, xH) = v2)
% 24.53/8.35  |
% 24.53/8.35  | Instantiating formula (41) with all_0_4_4, xE, xE and discharging atoms sdtasdt0(xE, xE) = all_0_4_4, aScalar0(xE), yields:
% 24.53/8.35  | (150) aScalar0(all_0_4_4)
% 24.53/8.35  |
% 24.53/8.35  | Instantiating (138) with all_15_0_13, all_15_1_14, all_15_2_15, all_15_3_16 yields:
% 24.53/8.35  | (151) sziznziztdt0(xs) = all_15_2_15 & aDimensionOf0(all_15_2_15) = all_15_1_14 & aDimensionOf0(xq) = all_15_0_13 & aDimensionOf0(xt) = all_15_3_16 & ( ~ (all_15_3_16 = all_0_7_7) | all_15_0_13 = all_15_1_14 | all_0_7_7 = sz00)
% 24.53/8.35  |
% 24.53/8.35  | Applying alpha-rule on (151) yields:
% 24.53/8.35  | (152) aDimensionOf0(all_15_2_15) = all_15_1_14
% 24.53/8.35  | (153)  ~ (all_15_3_16 = all_0_7_7) | all_15_0_13 = all_15_1_14 | all_0_7_7 = sz00
% 24.53/8.35  | (154) sziznziztdt0(xs) = all_15_2_15
% 24.53/8.35  | (155) aDimensionOf0(xq) = all_15_0_13
% 24.53/8.35  | (156) aDimensionOf0(xt) = all_15_3_16
% 24.53/8.35  |
% 24.53/8.35  | Instantiating (143) with all_23_0_23 yields:
% 24.53/8.35  | (157) sdtasasdt0(xs, xt) = all_23_0_23 & aScalar0(all_23_0_23)
% 24.53/8.35  |
% 24.53/8.35  | Applying alpha-rule on (157) yields:
% 24.53/8.35  | (158) sdtasasdt0(xs, xt) = all_23_0_23
% 24.53/8.35  | (159) aScalar0(all_23_0_23)
% 24.53/8.35  |
% 24.53/8.35  | Instantiating (140) with all_27_0_25, all_27_1_26, all_27_2_27, all_27_3_28 yields:
% 24.53/8.35  | (160) sziznziztdt0(xt) = all_27_2_27 & aDimensionOf0(all_27_2_27) = all_27_1_26 & aDimensionOf0(xp) = all_27_0_25 & aDimensionOf0(xs) = all_27_3_28 & ( ~ (all_27_3_28 = all_0_7_7) | all_27_0_25 = all_27_1_26 | all_0_7_7 = sz00)
% 24.53/8.35  |
% 24.53/8.35  | Applying alpha-rule on (160) yields:
% 24.53/8.35  | (161) aDimensionOf0(xp) = all_27_0_25
% 24.53/8.35  | (162)  ~ (all_27_3_28 = all_0_7_7) | all_27_0_25 = all_27_1_26 | all_0_7_7 = sz00
% 24.53/8.35  | (163) aDimensionOf0(all_27_2_27) = all_27_1_26
% 24.53/8.35  | (164) sziznziztdt0(xt) = all_27_2_27
% 24.53/8.35  | (165) aDimensionOf0(xs) = all_27_3_28
% 24.53/8.35  |
% 24.53/8.35  | Instantiating (148) with all_53_0_67, all_53_1_68, all_53_2_69, all_53_3_70 yields:
% 24.53/8.35  | (166) sdtasdt0(xH, xP) = all_53_0_67 & sdtasdt0(xH, xE) = xP & sdtasdt0(xE, all_53_0_67) = all_0_2_2 & sdtpldt0(all_53_3_70, xP) = all_53_2_69 & sdtpldt0(xH, xP) = all_53_1_68 & sdtpldt0(xH, xE) = all_53_3_70 & sdtpldt0(xE, all_53_1_68) = all_53_2_69 & sdtpldt0(xE, xH) = all_53_3_70
% 24.53/8.35  |
% 24.53/8.35  | Applying alpha-rule on (166) yields:
% 24.53/8.35  | (167) sdtpldt0(xE, all_53_1_68) = all_53_2_69
% 24.53/8.35  | (168) sdtasdt0(xH, xE) = xP
% 24.53/8.35  | (169) sdtasdt0(xH, xP) = all_53_0_67
% 24.53/8.35  | (170) sdtpldt0(all_53_3_70, xP) = all_53_2_69
% 24.53/8.35  | (171) sdtasdt0(xE, all_53_0_67) = all_0_2_2
% 24.53/8.35  | (172) sdtpldt0(xH, xE) = all_53_3_70
% 24.53/8.35  | (173) sdtpldt0(xH, xP) = all_53_1_68
% 24.53/8.35  | (174) sdtpldt0(xE, xH) = all_53_3_70
% 24.53/8.35  |
% 24.53/8.35  | Instantiating (149) with all_79_0_105, all_79_1_106, all_79_2_107, all_79_3_108 yields:
% 24.53/8.35  | (175) sdtasdt0(all_79_0_105, xH) = all_0_2_2 & sdtasdt0(xP, xE) = all_79_0_105 & sdtasdt0(xE, xP) = all_79_0_105 & sdtpldt0(all_79_3_108, xH) = all_79_2_107 & sdtpldt0(xP, all_79_1_106) = all_79_2_107 & sdtpldt0(xP, xE) = all_79_3_108 & sdtpldt0(xE, xP) = all_79_3_108 & sdtpldt0(xE, xH) = all_79_1_106
% 24.53/8.35  |
% 24.53/8.35  | Applying alpha-rule on (175) yields:
% 24.53/8.35  | (176) sdtpldt0(all_79_3_108, xH) = all_79_2_107
% 24.53/8.35  | (177) sdtasdt0(xP, xE) = all_79_0_105
% 24.53/8.35  | (178) sdtpldt0(xP, all_79_1_106) = all_79_2_107
% 24.53/8.35  | (179) sdtpldt0(xE, xH) = all_79_1_106
% 24.53/8.35  | (180) sdtpldt0(xE, xP) = all_79_3_108
% 24.53/8.35  | (181) sdtpldt0(xP, xE) = all_79_3_108
% 24.53/8.35  | (182) sdtasdt0(all_79_0_105, xH) = all_0_2_2
% 24.53/8.35  | (183) sdtasdt0(xE, xP) = all_79_0_105
% 24.53/8.35  |
% 24.53/8.35  +-Applying beta-rule and splitting (136), into two cases.
% 24.53/8.35  |-Branch one:
% 24.53/8.35  | (184) all_0_7_7 = sz00
% 24.53/8.35  |
% 24.53/8.35  	| Equations (184) can reduce 48 to:
% 24.53/8.35  	| (185) $false
% 24.53/8.35  	|
% 24.53/8.35  	|-The branch is then unsatisfiable
% 24.53/8.35  |-Branch two:
% 24.53/8.35  | (48)  ~ (all_0_7_7 = sz00)
% 24.53/8.35  | (187)  ? [v0] : (sziznziztdt0(xt) = v0 &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sdtlbdtrb0(v0, v2) = v3) |  ~ (aDimensionOf0(v0) = v1) |  ~ aNaturalNumber0(v2) | sdtlbdtrb0(xt, v2) = v3) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sdtlbdtrb0(xt, v2) = v3) |  ~ (aDimensionOf0(v0) = v1) |  ~ aNaturalNumber0(v2) | sdtlbdtrb0(v0, v2) = v3) &  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (aDimensionOf0(v1) = v2) |  ~ aVector0(v1) |  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v5 = v4) & sdtlbdtrb0(v1, v3) = v4 & sdtlbdtrb0(xt, v3) = v5 & aNaturalNumber0(v3)) | ( ~ (v3 = all_0_7_7) & szszuzczcdt0(v2) = v3))) &  ! [v1] : ( ~ (aDimensionOf0(v0) = v1) | szszuzczcdt0(v1) = all_0_7_7) &  ! [v1] : ( ~ (aDimensionOf0(v0) = v1) | aVector0(v0)))
% 24.53/8.35  |
% 24.53/8.35  	| Instantiating (187) with all_113_0_165 yields:
% 24.53/8.35  	| (188) sziznziztdt0(xt) = all_113_0_165 &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtlbdtrb0(all_113_0_165, v1) = v2) |  ~ (aDimensionOf0(all_113_0_165) = v0) |  ~ aNaturalNumber0(v1) | sdtlbdtrb0(xt, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtlbdtrb0(xt, v1) = v2) |  ~ (aDimensionOf0(all_113_0_165) = v0) |  ~ aNaturalNumber0(v1) | sdtlbdtrb0(all_113_0_165, v1) = v2) &  ! [v0] :  ! [v1] : (v0 = all_113_0_165 |  ~ (aDimensionOf0(v0) = v1) |  ~ aVector0(v0) |  ? [v2] :  ? [v3] :  ? [v4] : (( ~ (v4 = v3) & sdtlbdtrb0(v0, v2) = v3 & sdtlbdtrb0(xt, v2) = v4 & aNaturalNumber0(v2)) | ( ~ (v2 = all_0_7_7) & szszuzczcdt0(v1) = v2))) &  ! [v0] : ( ~ (aDimensionOf0(all_113_0_165) = v0) | szszuzczcdt0(v0) = all_0_7_7) &  ! [v0] : ( ~ (aDimensionOf0(all_113_0_165) = v0) | aVector0(all_113_0_165))
% 24.53/8.35  	|
% 24.53/8.35  	| Applying alpha-rule on (188) yields:
% 24.53/8.35  	| (189)  ! [v0] : ( ~ (aDimensionOf0(all_113_0_165) = v0) | szszuzczcdt0(v0) = all_0_7_7)
% 24.53/8.35  	| (190)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtlbdtrb0(xt, v1) = v2) |  ~ (aDimensionOf0(all_113_0_165) = v0) |  ~ aNaturalNumber0(v1) | sdtlbdtrb0(all_113_0_165, v1) = v2)
% 24.53/8.35  	| (191)  ! [v0] :  ! [v1] : (v0 = all_113_0_165 |  ~ (aDimensionOf0(v0) = v1) |  ~ aVector0(v0) |  ? [v2] :  ? [v3] :  ? [v4] : (( ~ (v4 = v3) & sdtlbdtrb0(v0, v2) = v3 & sdtlbdtrb0(xt, v2) = v4 & aNaturalNumber0(v2)) | ( ~ (v2 = all_0_7_7) & szszuzczcdt0(v1) = v2)))
% 24.53/8.35  	| (192)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtlbdtrb0(all_113_0_165, v1) = v2) |  ~ (aDimensionOf0(all_113_0_165) = v0) |  ~ aNaturalNumber0(v1) | sdtlbdtrb0(xt, v1) = v2)
% 24.53/8.36  	| (193)  ! [v0] : ( ~ (aDimensionOf0(all_113_0_165) = v0) | aVector0(all_113_0_165))
% 24.53/8.36  	| (194) sziznziztdt0(xt) = all_113_0_165
% 24.53/8.36  	|
% 24.53/8.36  	+-Applying beta-rule and splitting (147), into two cases.
% 24.53/8.36  	|-Branch one:
% 24.53/8.36  	| (184) all_0_7_7 = sz00
% 24.53/8.36  	|
% 24.53/8.36  		| Equations (184) can reduce 48 to:
% 24.53/8.36  		| (185) $false
% 24.53/8.36  		|
% 24.53/8.36  		|-The branch is then unsatisfiable
% 24.53/8.36  	|-Branch two:
% 24.53/8.36  	| (48)  ~ (all_0_7_7 = sz00)
% 24.53/8.36  	| (198)  ? [v0] : (sziznziztdt0(xs) = v0 &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sdtlbdtrb0(v0, v2) = v3) |  ~ (aDimensionOf0(v0) = v1) |  ~ aNaturalNumber0(v2) | sdtlbdtrb0(xs, v2) = v3) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sdtlbdtrb0(xs, v2) = v3) |  ~ (aDimensionOf0(v0) = v1) |  ~ aNaturalNumber0(v2) | sdtlbdtrb0(v0, v2) = v3) &  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (aDimensionOf0(v1) = v2) |  ~ aVector0(v1) |  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v5 = v4) & sdtlbdtrb0(v1, v3) = v4 & sdtlbdtrb0(xs, v3) = v5 & aNaturalNumber0(v3)) | ( ~ (v3 = all_0_7_7) & szszuzczcdt0(v2) = v3))) &  ! [v1] : ( ~ (aDimensionOf0(v0) = v1) | szszuzczcdt0(v1) = all_0_7_7) &  ! [v1] : ( ~ (aDimensionOf0(v0) = v1) | aVector0(v0)))
% 24.53/8.36  	|
% 24.53/8.36  		| Instantiating (198) with all_120_0_166 yields:
% 24.53/8.36  		| (199) sziznziztdt0(xs) = all_120_0_166 &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtlbdtrb0(all_120_0_166, v1) = v2) |  ~ (aDimensionOf0(all_120_0_166) = v0) |  ~ aNaturalNumber0(v1) | sdtlbdtrb0(xs, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtlbdtrb0(xs, v1) = v2) |  ~ (aDimensionOf0(all_120_0_166) = v0) |  ~ aNaturalNumber0(v1) | sdtlbdtrb0(all_120_0_166, v1) = v2) &  ! [v0] :  ! [v1] : (v0 = all_120_0_166 |  ~ (aDimensionOf0(v0) = v1) |  ~ aVector0(v0) |  ? [v2] :  ? [v3] :  ? [v4] : (( ~ (v4 = v3) & sdtlbdtrb0(v0, v2) = v3 & sdtlbdtrb0(xs, v2) = v4 & aNaturalNumber0(v2)) | ( ~ (v2 = all_0_7_7) & szszuzczcdt0(v1) = v2))) &  ! [v0] : ( ~ (aDimensionOf0(all_120_0_166) = v0) | szszuzczcdt0(v0) = all_0_7_7) &  ! [v0] : ( ~ (aDimensionOf0(all_120_0_166) = v0) | aVector0(all_120_0_166))
% 24.53/8.36  		|
% 24.53/8.36  		| Applying alpha-rule on (199) yields:
% 24.53/8.36  		| (200)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtlbdtrb0(all_120_0_166, v1) = v2) |  ~ (aDimensionOf0(all_120_0_166) = v0) |  ~ aNaturalNumber0(v1) | sdtlbdtrb0(xs, v1) = v2)
% 24.53/8.36  		| (201)  ! [v0] : ( ~ (aDimensionOf0(all_120_0_166) = v0) | aVector0(all_120_0_166))
% 24.53/8.36  		| (202) sziznziztdt0(xs) = all_120_0_166
% 24.53/8.36  		| (203)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtlbdtrb0(xs, v1) = v2) |  ~ (aDimensionOf0(all_120_0_166) = v0) |  ~ aNaturalNumber0(v1) | sdtlbdtrb0(all_120_0_166, v1) = v2)
% 24.53/8.36  		| (204)  ! [v0] :  ! [v1] : (v0 = all_120_0_166 |  ~ (aDimensionOf0(v0) = v1) |  ~ aVector0(v0) |  ? [v2] :  ? [v3] :  ? [v4] : (( ~ (v4 = v3) & sdtlbdtrb0(v0, v2) = v3 & sdtlbdtrb0(xs, v2) = v4 & aNaturalNumber0(v2)) | ( ~ (v2 = all_0_7_7) & szszuzczcdt0(v1) = v2)))
% 24.53/8.36  		| (205)  ! [v0] : ( ~ (aDimensionOf0(all_120_0_166) = v0) | szszuzczcdt0(v0) = all_0_7_7)
% 24.53/8.36  		|
% 24.53/8.36  		+-Applying beta-rule and splitting (144), into two cases.
% 24.53/8.36  		|-Branch one:
% 24.53/8.36  		| (184) all_0_7_7 = sz00
% 24.53/8.36  		|
% 24.53/8.36  			| Equations (184) can reduce 48 to:
% 24.53/8.36  			| (185) $false
% 24.53/8.36  			|
% 24.53/8.36  			|-The branch is then unsatisfiable
% 24.53/8.36  		|-Branch two:
% 24.53/8.36  		| (48)  ~ (all_0_7_7 = sz00)
% 24.53/8.36  		| (209)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (sdtasasdt0(v1, v2) = v3 & sdtasasdt0(xs, xs) = v0 & sziznziztdt0(xs) = v2 & sziznziztdt0(xs) = v1 & sdtlbdtrb0(xs, all_0_7_7) = v5 & sdtlbdtrb0(xs, all_0_7_7) = v4 & sdtasdt0(v4, v5) = v6 & sdtpldt0(v3, v6) = v0)
% 24.53/8.36  		|
% 24.53/8.36  			| Instantiating (209) with all_127_0_167, all_127_1_168, all_127_2_169, all_127_3_170, all_127_4_171, all_127_5_172, all_127_6_173 yields:
% 24.53/8.36  			| (210) sdtasasdt0(all_127_5_172, all_127_4_171) = all_127_3_170 & sdtasasdt0(xs, xs) = all_127_6_173 & sziznziztdt0(xs) = all_127_4_171 & sziznziztdt0(xs) = all_127_5_172 & sdtlbdtrb0(xs, all_0_7_7) = all_127_1_168 & sdtlbdtrb0(xs, all_0_7_7) = all_127_2_169 & sdtasdt0(all_127_2_169, all_127_1_168) = all_127_0_167 & sdtpldt0(all_127_3_170, all_127_0_167) = all_127_6_173
% 24.53/8.36  			|
% 24.53/8.36  			| Applying alpha-rule on (210) yields:
% 24.53/8.36  			| (211) sdtasdt0(all_127_2_169, all_127_1_168) = all_127_0_167
% 24.53/8.36  			| (212) sdtlbdtrb0(xs, all_0_7_7) = all_127_1_168
% 24.53/8.36  			| (213) sziznziztdt0(xs) = all_127_5_172
% 24.53/8.36  			| (214) sdtlbdtrb0(xs, all_0_7_7) = all_127_2_169
% 24.53/8.36  			| (215) sziznziztdt0(xs) = all_127_4_171
% 24.53/8.36  			| (216) sdtpldt0(all_127_3_170, all_127_0_167) = all_127_6_173
% 24.53/8.36  			| (217) sdtasasdt0(all_127_5_172, all_127_4_171) = all_127_3_170
% 24.53/8.36  			| (218) sdtasasdt0(xs, xs) = all_127_6_173
% 24.53/8.36  			|
% 24.53/8.36  			+-Applying beta-rule and splitting (141), into two cases.
% 24.53/8.36  			|-Branch one:
% 24.53/8.36  			| (184) all_0_7_7 = sz00
% 24.53/8.36  			|
% 24.53/8.36  				| Equations (184) can reduce 48 to:
% 24.53/8.36  				| (185) $false
% 24.53/8.36  				|
% 24.53/8.36  				|-The branch is then unsatisfiable
% 24.53/8.36  			|-Branch two:
% 24.53/8.36  			| (48)  ~ (all_0_7_7 = sz00)
% 24.53/8.36  			| (222)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (sdtasasdt0(v1, v2) = v3 & sdtasasdt0(xs, xt) = v0 & sziznziztdt0(xt) = v2 & sziznziztdt0(xs) = v1 & sdtlbdtrb0(xt, all_0_7_7) = v5 & sdtlbdtrb0(xs, all_0_7_7) = v4 & sdtasdt0(v4, v5) = v6 & sdtpldt0(v3, v6) = v0)
% 24.53/8.36  			|
% 24.53/8.36  				| Instantiating (222) with all_132_0_174, all_132_1_175, all_132_2_176, all_132_3_177, all_132_4_178, all_132_5_179, all_132_6_180 yields:
% 24.53/8.36  				| (223) sdtasasdt0(all_132_5_179, all_132_4_178) = all_132_3_177 & sdtasasdt0(xs, xt) = all_132_6_180 & sziznziztdt0(xt) = all_132_4_178 & sziznziztdt0(xs) = all_132_5_179 & sdtlbdtrb0(xt, all_0_7_7) = all_132_1_175 & sdtlbdtrb0(xs, all_0_7_7) = all_132_2_176 & sdtasdt0(all_132_2_176, all_132_1_175) = all_132_0_174 & sdtpldt0(all_132_3_177, all_132_0_174) = all_132_6_180
% 24.53/8.36  				|
% 24.53/8.36  				| Applying alpha-rule on (223) yields:
% 24.53/8.36  				| (224) sdtlbdtrb0(xt, all_0_7_7) = all_132_1_175
% 24.53/8.36  				| (225) sziznziztdt0(xs) = all_132_5_179
% 24.53/8.36  				| (226) sdtlbdtrb0(xs, all_0_7_7) = all_132_2_176
% 24.53/8.36  				| (227) sdtasasdt0(all_132_5_179, all_132_4_178) = all_132_3_177
% 24.53/8.36  				| (228) sziznziztdt0(xt) = all_132_4_178
% 24.53/8.36  				| (229) sdtpldt0(all_132_3_177, all_132_0_174) = all_132_6_180
% 24.53/8.36  				| (230) sdtasasdt0(xs, xt) = all_132_6_180
% 24.53/8.36  				| (231) sdtasdt0(all_132_2_176, all_132_1_175) = all_132_0_174
% 24.53/8.36  				|
% 24.53/8.36  				+-Applying beta-rule and splitting (145), into two cases.
% 24.53/8.36  				|-Branch one:
% 24.53/8.36  				| (184) all_0_7_7 = sz00
% 24.53/8.36  				|
% 24.53/8.36  					| Equations (184) can reduce 48 to:
% 24.53/8.36  					| (185) $false
% 24.53/8.36  					|
% 24.53/8.36  					|-The branch is then unsatisfiable
% 24.53/8.36  				|-Branch two:
% 24.53/8.36  				| (48)  ~ (all_0_7_7 = sz00)
% 24.53/8.36  				| (235)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (sdtasasdt0(v1, v2) = v3 & sdtasasdt0(xt, xs) = v0 & sziznziztdt0(xt) = v1 & sziznziztdt0(xs) = v2 & sdtlbdtrb0(xt, all_0_7_7) = v4 & sdtlbdtrb0(xs, all_0_7_7) = v5 & sdtasdt0(v4, v5) = v6 & sdtpldt0(v3, v6) = v0)
% 24.53/8.36  				|
% 24.53/8.36  					| Instantiating (235) with all_137_0_181, all_137_1_182, all_137_2_183, all_137_3_184, all_137_4_185, all_137_5_186, all_137_6_187 yields:
% 24.53/8.36  					| (236) sdtasasdt0(all_137_5_186, all_137_4_185) = all_137_3_184 & sdtasasdt0(xt, xs) = all_137_6_187 & sziznziztdt0(xt) = all_137_5_186 & sziznziztdt0(xs) = all_137_4_185 & sdtlbdtrb0(xt, all_0_7_7) = all_137_2_183 & sdtlbdtrb0(xs, all_0_7_7) = all_137_1_182 & sdtasdt0(all_137_2_183, all_137_1_182) = all_137_0_181 & sdtpldt0(all_137_3_184, all_137_0_181) = all_137_6_187
% 24.53/8.36  					|
% 24.53/8.36  					| Applying alpha-rule on (236) yields:
% 24.53/8.36  					| (237) sdtlbdtrb0(xs, all_0_7_7) = all_137_1_182
% 24.53/8.36  					| (238) sdtasdt0(all_137_2_183, all_137_1_182) = all_137_0_181
% 24.53/8.36  					| (239) sdtasasdt0(all_137_5_186, all_137_4_185) = all_137_3_184
% 24.53/8.36  					| (240) sdtlbdtrb0(xt, all_0_7_7) = all_137_2_183
% 24.53/8.36  					| (241) sdtpldt0(all_137_3_184, all_137_0_181) = all_137_6_187
% 24.53/8.36  					| (242) sdtasasdt0(xt, xs) = all_137_6_187
% 24.53/8.36  					| (243) sziznziztdt0(xt) = all_137_5_186
% 24.53/8.36  					| (244) sziznziztdt0(xs) = all_137_4_185
% 24.53/8.36  					|
% 24.53/8.36  					+-Applying beta-rule and splitting (135), into two cases.
% 24.53/8.36  					|-Branch one:
% 24.53/8.36  					| (184) all_0_7_7 = sz00
% 24.53/8.36  					|
% 24.53/8.36  						| Equations (184) can reduce 48 to:
% 24.53/8.36  						| (185) $false
% 24.53/8.36  						|
% 24.53/8.36  						|-The branch is then unsatisfiable
% 24.53/8.36  					|-Branch two:
% 24.53/8.36  					| (48)  ~ (all_0_7_7 = sz00)
% 24.53/8.36  					| (248)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (sdtasasdt0(v1, v2) = v3 & sdtasasdt0(xt, xt) = v0 & sziznziztdt0(xt) = v2 & sziznziztdt0(xt) = v1 & sdtlbdtrb0(xt, all_0_7_7) = v5 & sdtlbdtrb0(xt, all_0_7_7) = v4 & sdtasdt0(v4, v5) = v6 & sdtpldt0(v3, v6) = v0)
% 24.53/8.36  					|
% 24.53/8.36  						| Instantiating (248) with all_142_0_188, all_142_1_189, all_142_2_190, all_142_3_191, all_142_4_192, all_142_5_193, all_142_6_194 yields:
% 24.53/8.36  						| (249) sdtasasdt0(all_142_5_193, all_142_4_192) = all_142_3_191 & sdtasasdt0(xt, xt) = all_142_6_194 & sziznziztdt0(xt) = all_142_4_192 & sziznziztdt0(xt) = all_142_5_193 & sdtlbdtrb0(xt, all_0_7_7) = all_142_1_189 & sdtlbdtrb0(xt, all_0_7_7) = all_142_2_190 & sdtasdt0(all_142_2_190, all_142_1_189) = all_142_0_188 & sdtpldt0(all_142_3_191, all_142_0_188) = all_142_6_194
% 24.53/8.36  						|
% 24.53/8.36  						| Applying alpha-rule on (249) yields:
% 24.53/8.36  						| (250) sdtasdt0(all_142_2_190, all_142_1_189) = all_142_0_188
% 24.53/8.36  						| (251) sdtlbdtrb0(xt, all_0_7_7) = all_142_2_190
% 24.53/8.36  						| (252) sdtasasdt0(all_142_5_193, all_142_4_192) = all_142_3_191
% 24.53/8.36  						| (253) sdtasasdt0(xt, xt) = all_142_6_194
% 24.53/8.36  						| (254) sdtpldt0(all_142_3_191, all_142_0_188) = all_142_6_194
% 24.53/8.36  						| (255) sziznziztdt0(xt) = all_142_4_192
% 24.53/8.36  						| (256) sziznziztdt0(xt) = all_142_5_193
% 24.53/8.36  						| (257) sdtlbdtrb0(xt, all_0_7_7) = all_142_1_189
% 24.53/8.36  						|
% 24.53/8.36  						+-Applying beta-rule and splitting (137), into two cases.
% 24.53/8.36  						|-Branch one:
% 24.53/8.36  						| (184) all_0_7_7 = sz00
% 24.53/8.36  						|
% 24.53/8.36  							| Equations (184) can reduce 48 to:
% 24.53/8.36  							| (185) $false
% 24.53/8.36  							|
% 24.53/8.36  							|-The branch is then unsatisfiable
% 24.53/8.36  						|-Branch two:
% 24.53/8.36  						| (48)  ~ (all_0_7_7 = sz00)
% 24.53/8.36  						| (261)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (sziznziztdt0(xs) = v2 & aDimensionOf0(v2) = v3 & aDimensionOf0(xq) = v1 & aDimensionOf0(xt) = v0 & ( ~ (v0 = all_0_7_7) | v3 = v1))
% 24.53/8.36  						|
% 24.53/8.36  							| Instantiating (261) with all_147_0_195, all_147_1_196, all_147_2_197, all_147_3_198 yields:
% 24.53/8.36  							| (262) sziznziztdt0(xs) = all_147_1_196 & aDimensionOf0(all_147_1_196) = all_147_0_195 & aDimensionOf0(xq) = all_147_2_197 & aDimensionOf0(xt) = all_147_3_198 & ( ~ (all_147_3_198 = all_0_7_7) | all_147_0_195 = all_147_2_197)
% 24.53/8.36  							|
% 24.53/8.36  							| Applying alpha-rule on (262) yields:
% 24.53/8.36  							| (263) aDimensionOf0(all_147_1_196) = all_147_0_195
% 24.53/8.36  							| (264)  ~ (all_147_3_198 = all_0_7_7) | all_147_0_195 = all_147_2_197
% 24.53/8.36  							| (265) aDimensionOf0(xq) = all_147_2_197
% 24.53/8.36  							| (266) sziznziztdt0(xs) = all_147_1_196
% 24.53/8.36  							| (267) aDimensionOf0(xt) = all_147_3_198
% 24.53/8.36  							|
% 24.53/8.36  							+-Applying beta-rule and splitting (142), into two cases.
% 24.53/8.36  							|-Branch one:
% 24.53/8.36  							| (184) all_0_7_7 = sz00
% 24.53/8.36  							|
% 24.53/8.36  								| Equations (184) can reduce 48 to:
% 24.53/8.36  								| (185) $false
% 24.53/8.36  								|
% 24.53/8.36  								|-The branch is then unsatisfiable
% 24.53/8.36  							|-Branch two:
% 24.53/8.36  							| (48)  ~ (all_0_7_7 = sz00)
% 24.53/8.36  							| (271)  ? [v0] :  ? [v1] :  ? [v2] : (sziznziztdt0(xt) = v2 & sziznziztdt0(xs) = v0 & aDimensionOf0(v2) = v1 & aDimensionOf0(v0) = v1)
% 24.53/8.36  							|
% 24.53/8.36  								| Instantiating (271) with all_152_0_199, all_152_1_200, all_152_2_201 yields:
% 24.53/8.36  								| (272) sziznziztdt0(xt) = all_152_0_199 & sziznziztdt0(xs) = all_152_2_201 & aDimensionOf0(all_152_0_199) = all_152_1_200 & aDimensionOf0(all_152_2_201) = all_152_1_200
% 24.53/8.36  								|
% 24.53/8.36  								| Applying alpha-rule on (272) yields:
% 24.53/8.36  								| (273) sziznziztdt0(xt) = all_152_0_199
% 24.53/8.36  								| (274) sziznziztdt0(xs) = all_152_2_201
% 24.53/8.36  								| (275) aDimensionOf0(all_152_0_199) = all_152_1_200
% 24.53/8.37  								| (276) aDimensionOf0(all_152_2_201) = all_152_1_200
% 24.53/8.37  								|
% 24.53/8.37  								+-Applying beta-rule and splitting (146), into two cases.
% 24.53/8.37  								|-Branch one:
% 24.53/8.37  								| (184) all_0_7_7 = sz00
% 24.53/8.37  								|
% 24.53/8.37  									| Equations (184) can reduce 48 to:
% 24.53/8.37  									| (185) $false
% 24.53/8.37  									|
% 24.53/8.37  									|-The branch is then unsatisfiable
% 24.53/8.37  								|-Branch two:
% 24.53/8.37  								| (48)  ~ (all_0_7_7 = sz00)
% 24.53/8.37  								| (280)  ? [v0] :  ? [v1] :  ? [v2] : (sziznziztdt0(xt) = v0 & sziznziztdt0(xs) = v2 & aDimensionOf0(v2) = v1 & aDimensionOf0(v0) = v1)
% 24.53/8.37  								|
% 24.53/8.37  									| Instantiating (280) with all_157_0_202, all_157_1_203, all_157_2_204 yields:
% 24.53/8.37  									| (281) sziznziztdt0(xt) = all_157_2_204 & sziznziztdt0(xs) = all_157_0_202 & aDimensionOf0(all_157_0_202) = all_157_1_203 & aDimensionOf0(all_157_2_204) = all_157_1_203
% 24.53/8.37  									|
% 24.53/8.37  									| Applying alpha-rule on (281) yields:
% 24.53/8.37  									| (282) sziznziztdt0(xt) = all_157_2_204
% 24.53/8.37  									| (283) sziznziztdt0(xs) = all_157_0_202
% 24.53/8.37  									| (284) aDimensionOf0(all_157_0_202) = all_157_1_203
% 24.53/8.37  									| (285) aDimensionOf0(all_157_2_204) = all_157_1_203
% 24.53/8.37  									|
% 24.53/8.37  									+-Applying beta-rule and splitting (139), into two cases.
% 24.53/8.37  									|-Branch one:
% 24.53/8.37  									| (184) all_0_7_7 = sz00
% 24.53/8.37  									|
% 24.53/8.37  										| Equations (184) can reduce 48 to:
% 24.53/8.37  										| (185) $false
% 24.53/8.37  										|
% 24.53/8.37  										|-The branch is then unsatisfiable
% 24.53/8.37  									|-Branch two:
% 24.53/8.37  									| (48)  ~ (all_0_7_7 = sz00)
% 24.53/8.37  									| (289)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (sziznziztdt0(xt) = v2 & aDimensionOf0(v2) = v3 & aDimensionOf0(xp) = v1 & aDimensionOf0(xs) = v0 & ( ~ (v0 = all_0_7_7) | v3 = v1))
% 24.53/8.37  									|
% 24.53/8.37  										| Instantiating (289) with all_162_0_205, all_162_1_206, all_162_2_207, all_162_3_208 yields:
% 24.53/8.37  										| (290) sziznziztdt0(xt) = all_162_1_206 & aDimensionOf0(all_162_1_206) = all_162_0_205 & aDimensionOf0(xp) = all_162_2_207 & aDimensionOf0(xs) = all_162_3_208 & ( ~ (all_162_3_208 = all_0_7_7) | all_162_0_205 = all_162_2_207)
% 24.53/8.37  										|
% 24.53/8.37  										| Applying alpha-rule on (290) yields:
% 24.53/8.37  										| (291) aDimensionOf0(all_162_1_206) = all_162_0_205
% 24.53/8.37  										| (292) aDimensionOf0(xp) = all_162_2_207
% 24.53/8.37  										| (293) sziznziztdt0(xt) = all_162_1_206
% 24.53/8.37  										| (294)  ~ (all_162_3_208 = all_0_7_7) | all_162_0_205 = all_162_2_207
% 24.53/8.37  										| (295) aDimensionOf0(xs) = all_162_3_208
% 24.53/8.37  										|
% 24.53/8.37  										| Instantiating formula (29) with xs, xt, all_23_0_23, all_132_6_180 and discharging atoms sdtasasdt0(xs, xt) = all_132_6_180, sdtasasdt0(xs, xt) = all_23_0_23, yields:
% 24.53/8.37  										| (296) all_132_6_180 = all_23_0_23
% 24.53/8.37  										|
% 24.53/8.37  										| Instantiating formula (74) with xt, all_157_2_204, xq and discharging atoms sziznziztdt0(xt) = all_157_2_204, sziznziztdt0(xt) = xq, yields:
% 24.53/8.37  										| (297) all_157_2_204 = xq
% 24.53/8.37  										|
% 24.53/8.37  										| Instantiating formula (74) with xt, all_142_4_192, all_157_2_204 and discharging atoms sziznziztdt0(xt) = all_157_2_204, sziznziztdt0(xt) = all_142_4_192, yields:
% 24.53/8.37  										| (298) all_157_2_204 = all_142_4_192
% 24.53/8.37  										|
% 24.53/8.37  										| Instantiating formula (74) with xt, all_142_5_193, all_152_0_199 and discharging atoms sziznziztdt0(xt) = all_152_0_199, sziznziztdt0(xt) = all_142_5_193, yields:
% 24.53/8.37  										| (299) all_152_0_199 = all_142_5_193
% 24.53/8.37  										|
% 24.53/8.37  										| Instantiating formula (74) with xt, all_137_5_186, all_162_1_206 and discharging atoms sziznziztdt0(xt) = all_162_1_206, sziznziztdt0(xt) = all_137_5_186, yields:
% 24.53/8.37  										| (300) all_162_1_206 = all_137_5_186
% 24.53/8.37  										|
% 24.53/8.37  										| Instantiating formula (74) with xt, all_137_5_186, all_142_5_193 and discharging atoms sziznziztdt0(xt) = all_142_5_193, sziznziztdt0(xt) = all_137_5_186, yields:
% 24.53/8.37  										| (301) all_142_5_193 = all_137_5_186
% 24.53/8.37  										|
% 24.53/8.37  										| Instantiating formula (74) with xt, all_132_4_178, all_152_0_199 and discharging atoms sziznziztdt0(xt) = all_152_0_199, sziznziztdt0(xt) = all_132_4_178, yields:
% 24.53/8.37  										| (302) all_152_0_199 = all_132_4_178
% 24.53/8.37  										|
% 24.53/8.37  										| Instantiating formula (74) with xt, all_113_0_165, all_142_4_192 and discharging atoms sziznziztdt0(xt) = all_142_4_192, sziznziztdt0(xt) = all_113_0_165, yields:
% 24.53/8.37  										| (303) all_142_4_192 = all_113_0_165
% 24.53/8.37  										|
% 24.53/8.37  										| Instantiating formula (74) with xt, all_113_0_165, all_142_5_193 and discharging atoms sziznziztdt0(xt) = all_142_5_193, sziznziztdt0(xt) = all_113_0_165, yields:
% 24.53/8.37  										| (304) all_142_5_193 = all_113_0_165
% 24.53/8.37  										|
% 24.53/8.37  										| Instantiating formula (74) with xt, all_27_2_27, all_162_1_206 and discharging atoms sziznziztdt0(xt) = all_162_1_206, sziznziztdt0(xt) = all_27_2_27, yields:
% 24.53/8.37  										| (305) all_162_1_206 = all_27_2_27
% 24.53/8.37  										|
% 24.53/8.37  										| Instantiating formula (74) with xs, all_152_2_201, all_157_0_202 and discharging atoms sziznziztdt0(xs) = all_157_0_202, sziznziztdt0(xs) = all_152_2_201, yields:
% 24.53/8.37  										| (306) all_157_0_202 = all_152_2_201
% 24.53/8.37  										|
% 24.53/8.37  										| Instantiating formula (74) with xs, all_137_4_185, all_152_2_201 and discharging atoms sziznziztdt0(xs) = all_152_2_201, sziznziztdt0(xs) = all_137_4_185, yields:
% 24.53/8.37  										| (307) all_152_2_201 = all_137_4_185
% 24.53/8.37  										|
% 24.53/8.37  										| Instantiating formula (74) with xs, all_132_5_179, all_137_4_185 and discharging atoms sziznziztdt0(xs) = all_137_4_185, sziznziztdt0(xs) = all_132_5_179, yields:
% 24.53/8.37  										| (308) all_137_4_185 = all_132_5_179
% 24.53/8.37  										|
% 24.53/8.37  										| Instantiating formula (74) with xs, all_127_4_171, all_147_1_196 and discharging atoms sziznziztdt0(xs) = all_147_1_196, sziznziztdt0(xs) = all_127_4_171, yields:
% 24.53/8.37  										| (309) all_147_1_196 = all_127_4_171
% 24.53/8.37  										|
% 24.53/8.37  										| Instantiating formula (74) with xs, all_127_4_171, all_132_5_179 and discharging atoms sziznziztdt0(xs) = all_132_5_179, sziznziztdt0(xs) = all_127_4_171, yields:
% 24.53/8.37  										| (310) all_132_5_179 = all_127_4_171
% 24.53/8.37  										|
% 24.53/8.37  										| Instantiating formula (74) with xs, all_127_5_172, all_147_1_196 and discharging atoms sziznziztdt0(xs) = all_147_1_196, sziznziztdt0(xs) = all_127_5_172, yields:
% 24.53/8.37  										| (311) all_147_1_196 = all_127_5_172
% 24.53/8.37  										|
% 24.53/8.37  										| Instantiating formula (74) with xs, all_120_0_166, xp and discharging atoms sziznziztdt0(xs) = all_120_0_166, sziznziztdt0(xs) = xp, yields:
% 24.53/8.37  										| (312) all_120_0_166 = xp
% 24.53/8.37  										|
% 24.53/8.37  										| Instantiating formula (74) with xs, all_120_0_166, all_127_4_171 and discharging atoms sziznziztdt0(xs) = all_127_4_171, sziznziztdt0(xs) = all_120_0_166, yields:
% 24.53/8.37  										| (313) all_127_4_171 = all_120_0_166
% 24.53/8.37  										|
% 24.53/8.37  										| Instantiating formula (74) with xs, all_15_2_15, all_157_0_202 and discharging atoms sziznziztdt0(xs) = all_157_0_202, sziznziztdt0(xs) = all_15_2_15, yields:
% 24.53/8.37  										| (314) all_157_0_202 = all_15_2_15
% 24.53/8.37  										|
% 24.53/8.37  										| Instantiating formula (94) with xt, all_0_7_7, all_142_2_190, xB and discharging atoms sdtlbdtrb0(xt, all_0_7_7) = all_142_2_190, sdtlbdtrb0(xt, all_0_7_7) = xB, yields:
% 24.53/8.37  										| (315) all_142_2_190 = xB
% 24.53/8.37  										|
% 24.53/8.37  										| Instantiating formula (94) with xt, all_0_7_7, all_142_2_190, all_142_1_189 and discharging atoms sdtlbdtrb0(xt, all_0_7_7) = all_142_1_189, sdtlbdtrb0(xt, all_0_7_7) = all_142_2_190, yields:
% 24.53/8.37  										| (316) all_142_1_189 = all_142_2_190
% 24.53/8.37  										|
% 24.53/8.37  										| Instantiating formula (94) with xt, all_0_7_7, all_137_2_183, all_142_1_189 and discharging atoms sdtlbdtrb0(xt, all_0_7_7) = all_142_1_189, sdtlbdtrb0(xt, all_0_7_7) = all_137_2_183, yields:
% 24.53/8.37  										| (317) all_142_1_189 = all_137_2_183
% 24.53/8.37  										|
% 24.53/8.37  										| Instantiating formula (94) with xt, all_0_7_7, all_132_1_175, all_142_2_190 and discharging atoms sdtlbdtrb0(xt, all_0_7_7) = all_142_2_190, sdtlbdtrb0(xt, all_0_7_7) = all_132_1_175, yields:
% 24.53/8.37  										| (318) all_142_2_190 = all_132_1_175
% 24.53/8.37  										|
% 24.53/8.37  										| Instantiating formula (94) with xs, all_0_7_7, all_132_2_176, all_137_1_182 and discharging atoms sdtlbdtrb0(xs, all_0_7_7) = all_137_1_182, sdtlbdtrb0(xs, all_0_7_7) = all_132_2_176, yields:
% 24.53/8.37  										| (319) all_137_1_182 = all_132_2_176
% 24.53/8.37  										|
% 24.53/8.37  										| Instantiating formula (94) with xs, all_0_7_7, all_127_1_168, xA and discharging atoms sdtlbdtrb0(xs, all_0_7_7) = all_127_1_168, sdtlbdtrb0(xs, all_0_7_7) = xA, yields:
% 24.53/8.37  										| (320) all_127_1_168 = xA
% 24.53/8.37  										|
% 24.53/8.37  										| Instantiating formula (94) with xs, all_0_7_7, all_127_1_168, all_137_1_182 and discharging atoms sdtlbdtrb0(xs, all_0_7_7) = all_137_1_182, sdtlbdtrb0(xs, all_0_7_7) = all_127_1_168, yields:
% 24.53/8.37  										| (321) all_137_1_182 = all_127_1_168
% 24.53/8.37  										|
% 24.53/8.37  										| Instantiating formula (94) with xs, all_0_7_7, all_127_2_169, all_137_1_182 and discharging atoms sdtlbdtrb0(xs, all_0_7_7) = all_137_1_182, sdtlbdtrb0(xs, all_0_7_7) = all_127_2_169, yields:
% 24.53/8.37  										| (322) all_137_1_182 = all_127_2_169
% 24.53/8.37  										|
% 24.53/8.37  										| Instantiating formula (71) with xE, xH, all_53_3_70, all_79_1_106 and discharging atoms sdtpldt0(xE, xH) = all_79_1_106, sdtpldt0(xE, xH) = all_53_3_70, yields:
% 24.53/8.37  										| (323) all_79_1_106 = all_53_3_70
% 24.53/8.37  										|
% 24.53/8.37  										| Combining equations (300,305) yields a new equation:
% 24.53/8.37  										| (324) all_137_5_186 = all_27_2_27
% 24.53/8.37  										|
% 24.53/8.37  										| Simplifying 324 yields:
% 24.53/8.37  										| (325) all_137_5_186 = all_27_2_27
% 24.53/8.37  										|
% 24.53/8.37  										| Combining equations (306,314) yields a new equation:
% 24.53/8.37  										| (326) all_152_2_201 = all_15_2_15
% 24.53/8.37  										|
% 24.53/8.37  										| Simplifying 326 yields:
% 24.53/8.37  										| (327) all_152_2_201 = all_15_2_15
% 24.53/8.37  										|
% 24.53/8.37  										| Combining equations (298,297) yields a new equation:
% 24.53/8.37  										| (328) all_142_4_192 = xq
% 24.53/8.37  										|
% 24.53/8.37  										| Simplifying 328 yields:
% 24.53/8.37  										| (329) all_142_4_192 = xq
% 24.53/8.37  										|
% 24.53/8.37  										| Combining equations (299,302) yields a new equation:
% 24.53/8.37  										| (330) all_142_5_193 = all_132_4_178
% 24.53/8.37  										|
% 24.53/8.37  										| Simplifying 330 yields:
% 24.53/8.37  										| (331) all_142_5_193 = all_132_4_178
% 24.53/8.37  										|
% 24.53/8.37  										| Combining equations (307,327) yields a new equation:
% 24.53/8.37  										| (332) all_137_4_185 = all_15_2_15
% 24.53/8.37  										|
% 24.53/8.37  										| Simplifying 332 yields:
% 24.53/8.37  										| (333) all_137_4_185 = all_15_2_15
% 24.53/8.37  										|
% 24.53/8.37  										| Combining equations (309,311) yields a new equation:
% 24.53/8.37  										| (334) all_127_4_171 = all_127_5_172
% 24.53/8.37  										|
% 24.53/8.37  										| Simplifying 334 yields:
% 24.53/8.37  										| (335) all_127_4_171 = all_127_5_172
% 24.53/8.37  										|
% 24.53/8.37  										| Combining equations (316,317) yields a new equation:
% 24.53/8.37  										| (336) all_142_2_190 = all_137_2_183
% 24.53/8.37  										|
% 24.53/8.37  										| Simplifying 336 yields:
% 24.53/8.37  										| (337) all_142_2_190 = all_137_2_183
% 24.53/8.37  										|
% 24.53/8.37  										| Combining equations (315,337) yields a new equation:
% 24.53/8.37  										| (338) all_137_2_183 = xB
% 24.53/8.37  										|
% 24.53/8.37  										| Combining equations (318,337) yields a new equation:
% 24.53/8.37  										| (339) all_137_2_183 = all_132_1_175
% 24.53/8.37  										|
% 24.53/8.37  										| Combining equations (303,329) yields a new equation:
% 24.53/8.37  										| (340) all_113_0_165 = xq
% 24.53/8.37  										|
% 24.53/8.37  										| Simplifying 340 yields:
% 24.53/8.37  										| (341) all_113_0_165 = xq
% 24.53/8.37  										|
% 24.53/8.37  										| Combining equations (301,331) yields a new equation:
% 24.53/8.37  										| (342) all_137_5_186 = all_132_4_178
% 24.53/8.37  										|
% 24.53/8.37  										| Simplifying 342 yields:
% 24.53/8.37  										| (343) all_137_5_186 = all_132_4_178
% 24.53/8.37  										|
% 24.53/8.37  										| Combining equations (304,331) yields a new equation:
% 24.53/8.37  										| (344) all_132_4_178 = all_113_0_165
% 24.53/8.37  										|
% 24.53/8.37  										| Combining equations (322,319) yields a new equation:
% 24.53/8.37  										| (345) all_132_2_176 = all_127_2_169
% 24.53/8.37  										|
% 24.53/8.37  										| Combining equations (321,319) yields a new equation:
% 24.53/8.37  										| (346) all_132_2_176 = all_127_1_168
% 24.53/8.37  										|
% 24.53/8.37  										| Combining equations (338,339) yields a new equation:
% 24.53/8.37  										| (347) all_132_1_175 = xB
% 24.53/8.37  										|
% 24.53/8.37  										| Combining equations (308,333) yields a new equation:
% 24.53/8.37  										| (348) all_132_5_179 = all_15_2_15
% 24.53/8.37  										|
% 24.53/8.37  										| Simplifying 348 yields:
% 24.53/8.37  										| (349) all_132_5_179 = all_15_2_15
% 24.53/8.37  										|
% 24.53/8.37  										| Combining equations (343,325) yields a new equation:
% 24.53/8.37  										| (350) all_132_4_178 = all_27_2_27
% 24.53/8.37  										|
% 24.53/8.37  										| Simplifying 350 yields:
% 24.53/8.37  										| (351) all_132_4_178 = all_27_2_27
% 24.53/8.37  										|
% 24.53/8.37  										| Combining equations (346,345) yields a new equation:
% 24.53/8.37  										| (352) all_127_1_168 = all_127_2_169
% 24.53/8.37  										|
% 24.53/8.37  										| Simplifying 352 yields:
% 24.53/8.37  										| (353) all_127_1_168 = all_127_2_169
% 24.53/8.37  										|
% 24.53/8.37  										| Combining equations (344,351) yields a new equation:
% 24.53/8.37  										| (354) all_113_0_165 = all_27_2_27
% 24.53/8.37  										|
% 24.53/8.37  										| Simplifying 354 yields:
% 24.53/8.37  										| (355) all_113_0_165 = all_27_2_27
% 24.53/8.37  										|
% 24.53/8.37  										| Combining equations (310,349) yields a new equation:
% 24.53/8.37  										| (356) all_127_4_171 = all_15_2_15
% 24.53/8.37  										|
% 24.53/8.37  										| Simplifying 356 yields:
% 24.53/8.37  										| (357) all_127_4_171 = all_15_2_15
% 24.53/8.37  										|
% 24.53/8.37  										| Combining equations (353,320) yields a new equation:
% 24.53/8.37  										| (358) all_127_2_169 = xA
% 24.53/8.37  										|
% 24.53/8.37  										| Simplifying 358 yields:
% 24.53/8.37  										| (359) all_127_2_169 = xA
% 24.53/8.37  										|
% 24.53/8.37  										| Combining equations (313,335) yields a new equation:
% 24.53/8.37  										| (360) all_127_5_172 = all_120_0_166
% 24.53/8.37  										|
% 24.53/8.37  										| Combining equations (357,335) yields a new equation:
% 24.53/8.37  										| (361) all_127_5_172 = all_15_2_15
% 24.53/8.37  										|
% 24.53/8.37  										| Combining equations (360,361) yields a new equation:
% 24.53/8.37  										| (362) all_120_0_166 = all_15_2_15
% 24.53/8.37  										|
% 24.53/8.37  										| Simplifying 362 yields:
% 24.53/8.37  										| (363) all_120_0_166 = all_15_2_15
% 24.53/8.37  										|
% 24.53/8.37  										| Combining equations (312,363) yields a new equation:
% 24.53/8.37  										| (364) all_15_2_15 = xp
% 24.53/8.37  										|
% 24.53/8.38  										| Combining equations (341,355) yields a new equation:
% 24.53/8.38  										| (365) all_27_2_27 = xq
% 24.53/8.38  										|
% 24.53/8.38  										| Combining equations (364,349) yields a new equation:
% 24.53/8.38  										| (366) all_132_5_179 = xp
% 24.53/8.38  										|
% 24.53/8.38  										| Combining equations (365,351) yields a new equation:
% 24.53/8.38  										| (367) all_132_4_178 = xq
% 24.53/8.38  										|
% 24.53/8.38  										| Combining equations (359,345) yields a new equation:
% 24.53/8.38  										| (368) all_132_2_176 = xA
% 24.53/8.38  										|
% 24.53/8.38  										| From (366)(367) and (227) follows:
% 24.53/8.38  										| (369) sdtasasdt0(xp, xq) = all_132_3_177
% 24.53/8.38  										|
% 24.53/8.38  										| From (368)(347) and (231) follows:
% 24.53/8.38  										| (370) sdtasdt0(xA, xB) = all_132_0_174
% 24.53/8.38  										|
% 24.53/8.38  										| From (296) and (229) follows:
% 24.53/8.38  										| (371) sdtpldt0(all_132_3_177, all_132_0_174) = all_23_0_23
% 24.53/8.38  										|
% 24.53/8.38  										| From (323) and (178) follows:
% 24.53/8.38  										| (372) sdtpldt0(xP, all_53_3_70) = all_79_2_107
% 24.53/8.38  										|
% 24.53/8.38  										| From (323) and (179) follows:
% 24.53/8.38  										| (174) sdtpldt0(xE, xH) = all_53_3_70
% 24.53/8.38  										|
% 24.53/8.38  										| Instantiating formula (29) with xp, xq, all_132_3_177, xE and discharging atoms sdtasasdt0(xp, xq) = all_132_3_177, sdtasasdt0(xp, xq) = xE, yields:
% 24.53/8.38  										| (374) all_132_3_177 = xE
% 24.53/8.38  										|
% 24.53/8.38  										| Instantiating formula (98) with xA, xB, all_132_0_174, xH and discharging atoms sdtasdt0(xA, xB) = all_132_0_174, sdtasdt0(xA, xB) = xH, yields:
% 24.53/8.38  										| (375) all_132_0_174 = xH
% 24.53/8.38  										|
% 24.53/8.38  										| From (374)(375) and (371) follows:
% 24.53/8.38  										| (376) sdtpldt0(xE, xH) = all_23_0_23
% 24.53/8.38  										|
% 24.53/8.38  										| Instantiating formula (71) with xE, xH, all_23_0_23, all_53_3_70 and discharging atoms sdtpldt0(xE, xH) = all_53_3_70, sdtpldt0(xE, xH) = all_23_0_23, yields:
% 24.53/8.38  										| (377) all_53_3_70 = all_23_0_23
% 24.53/8.38  										|
% 24.53/8.38  										| From (377) and (170) follows:
% 24.53/8.38  										| (378) sdtpldt0(all_23_0_23, xP) = all_53_2_69
% 24.53/8.38  										|
% 24.53/8.38  										| From (377) and (372) follows:
% 24.53/8.38  										| (379) sdtpldt0(xP, all_23_0_23) = all_79_2_107
% 24.53/8.38  										|
% 24.53/8.38  										| From (377) and (172) follows:
% 24.53/8.38  										| (380) sdtpldt0(xH, xE) = all_23_0_23
% 24.53/8.38  										|
% 24.53/8.38  										| Instantiating formula (54) with all_79_0_105, xP, xE, xH, xE and discharging atoms sdtasdt0(xP, xE) = all_79_0_105, sdtasdt0(xE, xH) = xP, aScalar0(xH), aScalar0(xE), yields:
% 24.53/8.38  										| (381)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (sdtasdt0(xH, xE) = v3 & sdtasdt0(xH, xE) = xP & sdtasdt0(xE, v3) = all_79_0_105 & sdtpldt0(v0, xE) = v1 & sdtpldt0(xH, xE) = v2 & sdtpldt0(xH, xE) = v0 & sdtpldt0(xE, v2) = v1 & sdtpldt0(xE, xH) = v0)
% 24.53/8.38  										|
% 24.53/8.38  										| Instantiating formula (119) with all_53_0_67, xP, xH, xE, xH and discharging atoms sdtasdt0(xH, xP) = all_53_0_67, sdtasdt0(xE, xH) = xP, aScalar0(xH), aScalar0(xE), yields:
% 24.53/8.38  										| (382)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (sdtasdt0(v3, xH) = all_53_0_67 & sdtasdt0(xH, xE) = v3 & sdtasdt0(xE, xH) = v3 & sdtpldt0(v0, xH) = v1 & sdtpldt0(xH, v2) = v1 & sdtpldt0(xH, xE) = v0 & sdtpldt0(xE, xH) = v2 & sdtpldt0(xE, xH) = v0)
% 24.53/8.38  										|
% 24.53/8.38  										| Instantiating formula (54) with all_0_2_2, xP, xP, xE, xH and discharging atoms sdtasdt0(xP, xP) = all_0_2_2, sdtasdt0(xH, xE) = xP, aScalar0(xP), aScalar0(xH), aScalar0(xE), yields:
% 24.53/8.38  										| (383)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (sdtasdt0(xH, v3) = all_0_2_2 & sdtasdt0(xE, xP) = v3 & sdtasdt0(xE, xH) = xP & sdtpldt0(v0, xP) = v1 & sdtpldt0(xH, v2) = v1 & sdtpldt0(xH, xE) = v0 & sdtpldt0(xE, xP) = v2 & sdtpldt0(xE, xH) = v0)
% 24.53/8.38  										|
% 24.53/8.38  										| Instantiating formula (54) with all_79_0_105, xP, xE, xE, xH and discharging atoms sdtasdt0(xP, xE) = all_79_0_105, sdtasdt0(xH, xE) = xP, aScalar0(xH), aScalar0(xE), yields:
% 24.53/8.38  										| (384)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (sdtasdt0(xH, v3) = all_79_0_105 & sdtasdt0(xE, xH) = xP & sdtasdt0(xE, xE) = v3 & sdtpldt0(v0, xE) = v1 & sdtpldt0(xH, v2) = v1 & sdtpldt0(xH, xE) = v0 & sdtpldt0(xE, xH) = v0 & sdtpldt0(xE, xE) = v2)
% 24.53/8.38  										|
% 24.53/8.38  										| Instantiating formula (119) with all_79_0_105, xP, xH, xE, xE and discharging atoms sdtasdt0(xE, xP) = all_79_0_105, sdtasdt0(xE, xH) = xP, aScalar0(xH), aScalar0(xE), yields:
% 24.53/8.38  										| (385)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (sdtasdt0(v3, xH) = all_79_0_105 & sdtasdt0(xE, xE) = v3 & sdtpldt0(v0, xH) = v1 & sdtpldt0(xE, v2) = v1 & sdtpldt0(xE, xH) = v2 & sdtpldt0(xE, xE) = v0)
% 24.53/8.38  										|
% 24.53/8.38  										| Instantiating formula (119) with all_79_0_105, xP, xE, xH, xE and discharging atoms sdtasdt0(xH, xE) = xP, sdtasdt0(xE, xP) = all_79_0_105, aScalar0(xH), aScalar0(xE), yields:
% 24.53/8.38  										| (386)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (sdtasdt0(v3, xE) = all_79_0_105 & sdtasdt0(xH, xE) = v3 & sdtasdt0(xE, xH) = v3 & sdtpldt0(v0, xE) = v1 & sdtpldt0(xH, xE) = v2 & sdtpldt0(xH, xE) = v0 & sdtpldt0(xE, v2) = v1 & sdtpldt0(xE, xH) = v0)
% 24.53/8.38  										|
% 24.53/8.38  										| Instantiating formula (131) with all_53_2_69, all_23_0_23, xP, xE, xH and discharging atoms sdtpldt0(all_23_0_23, xP) = all_53_2_69, sdtpldt0(xH, xE) = all_23_0_23, aScalar0(xP), aScalar0(xH), aScalar0(xE), yields:
% 24.53/8.38  										| (387)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (sdtasdt0(v1, xP) = v2 & sdtasdt0(xH, v3) = v2 & sdtasdt0(xH, xE) = v1 & sdtasdt0(xE, xP) = v3 & sdtasdt0(xE, xH) = v1 & sdtpldt0(xH, v0) = all_53_2_69 & sdtpldt0(xE, xP) = v0 & sdtpldt0(xE, xH) = all_23_0_23)
% 24.53/8.38  										|
% 24.53/8.38  										| Instantiating formula (63) with all_79_2_107, all_23_0_23, xE, xH, xP and discharging atoms sdtpldt0(xP, all_23_0_23) = all_79_2_107, sdtpldt0(xH, xE) = all_23_0_23, aScalar0(xP), aScalar0(xH), aScalar0(xE), yields:
% 24.53/8.38  										| (388)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (sdtasdt0(v1, xE) = v2 & sdtasdt0(xP, v3) = v2 & sdtasdt0(xP, xH) = v1 & sdtasdt0(xH, xP) = v1 & sdtasdt0(xH, xE) = v3 & sdtpldt0(v0, xE) = all_79_2_107 & sdtpldt0(xP, xH) = v0 & sdtpldt0(xH, xP) = v0)
% 24.53/8.38  										|
% 24.53/8.38  										| Instantiating formula (54) with all_0_0_0, all_0_1_1, all_0_4_4, xH, xH and discharging atoms sdtasdt0(all_0_1_1, all_0_4_4) = all_0_0_0, sdtasdt0(xH, xH) = all_0_1_1, aScalar0(all_0_4_4), aScalar0(xH), yields:
% 24.53/8.38  										| (389)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (sdtasdt0(xH, v3) = all_0_0_0 & sdtasdt0(xH, all_0_4_4) = v3 & sdtpldt0(v0, all_0_4_4) = v1 & sdtpldt0(xH, v2) = v1 & sdtpldt0(xH, all_0_4_4) = v2 & sdtpldt0(xH, xH) = v0)
% 24.53/8.38  										|
% 24.53/8.38  										| Instantiating (389) with all_226_0_224, all_226_1_225, all_226_2_226, all_226_3_227 yields:
% 24.53/8.38  										| (390) sdtasdt0(xH, all_226_0_224) = all_0_0_0 & sdtasdt0(xH, all_0_4_4) = all_226_0_224 & sdtpldt0(all_226_3_227, all_0_4_4) = all_226_2_226 & sdtpldt0(xH, all_226_1_225) = all_226_2_226 & sdtpldt0(xH, all_0_4_4) = all_226_1_225 & sdtpldt0(xH, xH) = all_226_3_227
% 24.53/8.38  										|
% 24.53/8.38  										| Applying alpha-rule on (390) yields:
% 24.53/8.38  										| (391) sdtasdt0(xH, all_0_4_4) = all_226_0_224
% 24.53/8.38  										| (392) sdtasdt0(xH, all_226_0_224) = all_0_0_0
% 24.53/8.38  										| (393) sdtpldt0(xH, all_0_4_4) = all_226_1_225
% 24.53/8.38  										| (394) sdtpldt0(xH, xH) = all_226_3_227
% 24.53/8.38  										| (395) sdtpldt0(xH, all_226_1_225) = all_226_2_226
% 24.53/8.38  										| (396) sdtpldt0(all_226_3_227, all_0_4_4) = all_226_2_226
% 24.53/8.38  										|
% 24.53/8.38  										| Instantiating (388) with all_268_0_292, all_268_1_293, all_268_2_294, all_268_3_295 yields:
% 24.53/8.38  										| (397) sdtasdt0(all_268_2_294, xE) = all_268_1_293 & sdtasdt0(xP, all_268_0_292) = all_268_1_293 & sdtasdt0(xP, xH) = all_268_2_294 & sdtasdt0(xH, xP) = all_268_2_294 & sdtasdt0(xH, xE) = all_268_0_292 & sdtpldt0(all_268_3_295, xE) = all_79_2_107 & sdtpldt0(xP, xH) = all_268_3_295 & sdtpldt0(xH, xP) = all_268_3_295
% 24.53/8.38  										|
% 24.53/8.38  										| Applying alpha-rule on (397) yields:
% 24.53/8.38  										| (398) sdtpldt0(xH, xP) = all_268_3_295
% 24.53/8.38  										| (399) sdtpldt0(xP, xH) = all_268_3_295
% 24.53/8.38  										| (400) sdtasdt0(xH, xE) = all_268_0_292
% 24.53/8.38  										| (401) sdtasdt0(xH, xP) = all_268_2_294
% 24.53/8.38  										| (402) sdtpldt0(all_268_3_295, xE) = all_79_2_107
% 24.53/8.38  										| (403) sdtasdt0(xP, all_268_0_292) = all_268_1_293
% 24.53/8.38  										| (404) sdtasdt0(all_268_2_294, xE) = all_268_1_293
% 24.53/8.38  										| (405) sdtasdt0(xP, xH) = all_268_2_294
% 24.53/8.38  										|
% 24.53/8.38  										| Instantiating (387) with all_286_0_324, all_286_1_325, all_286_2_326, all_286_3_327 yields:
% 24.53/8.38  										| (406) sdtasdt0(all_286_2_326, xP) = all_286_1_325 & sdtasdt0(xH, all_286_0_324) = all_286_1_325 & sdtasdt0(xH, xE) = all_286_2_326 & sdtasdt0(xE, xP) = all_286_0_324 & sdtasdt0(xE, xH) = all_286_2_326 & sdtpldt0(xH, all_286_3_327) = all_53_2_69 & sdtpldt0(xE, xP) = all_286_3_327 & sdtpldt0(xE, xH) = all_23_0_23
% 24.53/8.38  										|
% 24.53/8.38  										| Applying alpha-rule on (406) yields:
% 24.53/8.38  										| (407) sdtpldt0(xE, xP) = all_286_3_327
% 24.53/8.38  										| (408) sdtasdt0(xE, xH) = all_286_2_326
% 24.53/8.38  										| (409) sdtasdt0(all_286_2_326, xP) = all_286_1_325
% 24.53/8.38  										| (410) sdtasdt0(xH, all_286_0_324) = all_286_1_325
% 24.53/8.38  										| (411) sdtasdt0(xE, xP) = all_286_0_324
% 24.53/8.38  										| (412) sdtasdt0(xH, xE) = all_286_2_326
% 24.53/8.38  										| (413) sdtpldt0(xH, all_286_3_327) = all_53_2_69
% 24.53/8.38  										| (376) sdtpldt0(xE, xH) = all_23_0_23
% 24.53/8.38  										|
% 24.53/8.38  										| Instantiating (381) with all_288_0_328, all_288_1_329, all_288_2_330, all_288_3_331 yields:
% 24.53/8.38  										| (415) sdtasdt0(xH, xE) = all_288_0_328 & sdtasdt0(xH, xE) = xP & sdtasdt0(xE, all_288_0_328) = all_79_0_105 & sdtpldt0(all_288_3_331, xE) = all_288_2_330 & sdtpldt0(xH, xE) = all_288_1_329 & sdtpldt0(xH, xE) = all_288_3_331 & sdtpldt0(xE, all_288_1_329) = all_288_2_330 & sdtpldt0(xE, xH) = all_288_3_331
% 24.53/8.38  										|
% 24.53/8.38  										| Applying alpha-rule on (415) yields:
% 24.53/8.38  										| (416) sdtpldt0(all_288_3_331, xE) = all_288_2_330
% 24.53/8.38  										| (417) sdtpldt0(xE, xH) = all_288_3_331
% 24.53/8.38  										| (418) sdtasdt0(xH, xE) = all_288_0_328
% 24.53/8.38  										| (419) sdtpldt0(xH, xE) = all_288_1_329
% 24.53/8.38  										| (168) sdtasdt0(xH, xE) = xP
% 24.53/8.38  										| (421) sdtpldt0(xH, xE) = all_288_3_331
% 24.53/8.38  										| (422) sdtasdt0(xE, all_288_0_328) = all_79_0_105
% 24.53/8.38  										| (423) sdtpldt0(xE, all_288_1_329) = all_288_2_330
% 24.53/8.38  										|
% 24.53/8.38  										| Instantiating (386) with all_318_0_376, all_318_1_377, all_318_2_378, all_318_3_379 yields:
% 24.53/8.38  										| (424) sdtasdt0(all_318_0_376, xE) = all_79_0_105 & sdtasdt0(xH, xE) = all_318_0_376 & sdtasdt0(xE, xH) = all_318_0_376 & sdtpldt0(all_318_3_379, xE) = all_318_2_378 & sdtpldt0(xH, xE) = all_318_1_377 & sdtpldt0(xH, xE) = all_318_3_379 & sdtpldt0(xE, all_318_1_377) = all_318_2_378 & sdtpldt0(xE, xH) = all_318_3_379
% 24.53/8.38  										|
% 24.53/8.38  										| Applying alpha-rule on (424) yields:
% 24.53/8.38  										| (425) sdtasdt0(xE, xH) = all_318_0_376
% 24.53/8.38  										| (426) sdtpldt0(xE, xH) = all_318_3_379
% 24.53/8.38  										| (427) sdtasdt0(all_318_0_376, xE) = all_79_0_105
% 24.53/8.38  										| (428) sdtpldt0(xH, xE) = all_318_1_377
% 24.53/8.38  										| (429) sdtpldt0(xH, xE) = all_318_3_379
% 24.53/8.38  										| (430) sdtpldt0(xE, all_318_1_377) = all_318_2_378
% 24.53/8.38  										| (431) sdtpldt0(all_318_3_379, xE) = all_318_2_378
% 24.53/8.38  										| (432) sdtasdt0(xH, xE) = all_318_0_376
% 24.53/8.38  										|
% 24.53/8.38  										| Instantiating (384) with all_330_0_398, all_330_1_399, all_330_2_400, all_330_3_401 yields:
% 24.53/8.38  										| (433) sdtasdt0(xH, all_330_0_398) = all_79_0_105 & sdtasdt0(xE, xH) = xP & sdtasdt0(xE, xE) = all_330_0_398 & sdtpldt0(all_330_3_401, xE) = all_330_2_400 & sdtpldt0(xH, all_330_1_399) = all_330_2_400 & sdtpldt0(xH, xE) = all_330_3_401 & sdtpldt0(xE, xH) = all_330_3_401 & sdtpldt0(xE, xE) = all_330_1_399
% 24.53/8.39  										|
% 24.53/8.39  										| Applying alpha-rule on (433) yields:
% 24.53/8.39  										| (434) sdtpldt0(xE, xH) = all_330_3_401
% 24.53/8.39  										| (435) sdtpldt0(xH, xE) = all_330_3_401
% 24.53/8.39  										| (436) sdtasdt0(xE, xE) = all_330_0_398
% 24.53/8.39  										| (437) sdtpldt0(xH, all_330_1_399) = all_330_2_400
% 24.53/8.39  										| (438) sdtpldt0(all_330_3_401, xE) = all_330_2_400
% 24.53/8.39  										| (439) sdtpldt0(xE, xE) = all_330_1_399
% 24.53/8.39  										| (115) sdtasdt0(xE, xH) = xP
% 24.53/8.39  										| (441) sdtasdt0(xH, all_330_0_398) = all_79_0_105
% 24.53/8.39  										|
% 24.53/8.39  										| Instantiating (382) with all_332_0_402, all_332_1_403, all_332_2_404, all_332_3_405 yields:
% 24.53/8.39  										| (442) sdtasdt0(all_332_0_402, xH) = all_53_0_67 & sdtasdt0(xH, xE) = all_332_0_402 & sdtasdt0(xE, xH) = all_332_0_402 & sdtpldt0(all_332_3_405, xH) = all_332_2_404 & sdtpldt0(xH, all_332_1_403) = all_332_2_404 & sdtpldt0(xH, xE) = all_332_3_405 & sdtpldt0(xE, xH) = all_332_1_403 & sdtpldt0(xE, xH) = all_332_3_405
% 24.53/8.39  										|
% 24.53/8.39  										| Applying alpha-rule on (442) yields:
% 24.53/8.39  										| (443) sdtpldt0(xH, all_332_1_403) = all_332_2_404
% 24.53/8.39  										| (444) sdtpldt0(all_332_3_405, xH) = all_332_2_404
% 24.53/8.39  										| (445) sdtasdt0(xH, xE) = all_332_0_402
% 24.53/8.39  										| (446) sdtasdt0(xE, xH) = all_332_0_402
% 24.53/8.39  										| (447) sdtpldt0(xH, xE) = all_332_3_405
% 24.53/8.39  										| (448) sdtpldt0(xE, xH) = all_332_3_405
% 24.53/8.39  										| (449) sdtpldt0(xE, xH) = all_332_1_403
% 24.53/8.39  										| (450) sdtasdt0(all_332_0_402, xH) = all_53_0_67
% 24.53/8.39  										|
% 24.53/8.39  										| Instantiating (383) with all_342_0_417, all_342_1_418, all_342_2_419, all_342_3_420 yields:
% 24.53/8.39  										| (451) sdtasdt0(xH, all_342_0_417) = all_0_2_2 & sdtasdt0(xE, xP) = all_342_0_417 & sdtasdt0(xE, xH) = xP & sdtpldt0(all_342_3_420, xP) = all_342_2_419 & sdtpldt0(xH, all_342_1_418) = all_342_2_419 & sdtpldt0(xH, xE) = all_342_3_420 & sdtpldt0(xE, xP) = all_342_1_418 & sdtpldt0(xE, xH) = all_342_3_420
% 24.53/8.39  										|
% 24.53/8.39  										| Applying alpha-rule on (451) yields:
% 24.53/8.39  										| (452) sdtpldt0(xH, all_342_1_418) = all_342_2_419
% 24.53/8.39  										| (453) sdtpldt0(xE, xP) = all_342_1_418
% 24.53/8.39  										| (454) sdtpldt0(xH, xE) = all_342_3_420
% 24.53/8.39  										| (455) sdtasdt0(xH, all_342_0_417) = all_0_2_2
% 24.53/8.39  										| (456) sdtasdt0(xE, xP) = all_342_0_417
% 24.53/8.39  										| (457) sdtpldt0(xE, xH) = all_342_3_420
% 24.53/8.39  										| (115) sdtasdt0(xE, xH) = xP
% 24.53/8.39  										| (459) sdtpldt0(all_342_3_420, xP) = all_342_2_419
% 24.53/8.39  										|
% 24.53/8.39  										| Instantiating (385) with all_356_0_436, all_356_1_437, all_356_2_438, all_356_3_439 yields:
% 24.53/8.39  										| (460) sdtasdt0(all_356_0_436, xH) = all_79_0_105 & sdtasdt0(xE, xE) = all_356_0_436 & sdtpldt0(all_356_3_439, xH) = all_356_2_438 & sdtpldt0(xE, all_356_1_437) = all_356_2_438 & sdtpldt0(xE, xH) = all_356_1_437 & sdtpldt0(xE, xE) = all_356_3_439
% 24.53/8.39  										|
% 24.53/8.39  										| Applying alpha-rule on (460) yields:
% 24.53/8.39  										| (461) sdtpldt0(xE, all_356_1_437) = all_356_2_438
% 24.53/8.39  										| (462) sdtpldt0(all_356_3_439, xH) = all_356_2_438
% 24.53/8.39  										| (463) sdtpldt0(xE, xE) = all_356_3_439
% 24.53/8.39  										| (464) sdtasdt0(xE, xE) = all_356_0_436
% 24.53/8.39  										| (465) sdtasdt0(all_356_0_436, xH) = all_79_0_105
% 24.53/8.39  										| (466) sdtpldt0(xE, xH) = all_356_1_437
% 24.53/8.39  										|
% 24.53/8.39  										| Instantiating formula (98) with xH, xE, all_288_0_328, all_332_0_402 and discharging atoms sdtasdt0(xH, xE) = all_332_0_402, sdtasdt0(xH, xE) = all_288_0_328, yields:
% 24.53/8.39  										| (467) all_332_0_402 = all_288_0_328
% 24.53/8.39  										|
% 24.53/8.39  										| Instantiating formula (98) with xH, xE, all_268_0_292, all_318_0_376 and discharging atoms sdtasdt0(xH, xE) = all_318_0_376, sdtasdt0(xH, xE) = all_268_0_292, yields:
% 24.53/8.39  										| (468) all_318_0_376 = all_268_0_292
% 24.53/8.39  										|
% 24.53/8.39  										| Instantiating formula (98) with xE, xP, all_342_0_417, all_79_0_105 and discharging atoms sdtasdt0(xE, xP) = all_342_0_417, sdtasdt0(xE, xP) = all_79_0_105, yields:
% 24.53/8.39  										| (469) all_342_0_417 = all_79_0_105
% 24.53/8.39  										|
% 24.53/8.39  										| Instantiating formula (98) with xE, xP, all_286_0_324, all_342_0_417 and discharging atoms sdtasdt0(xE, xP) = all_342_0_417, sdtasdt0(xE, xP) = all_286_0_324, yields:
% 24.53/8.39  										| (470) all_342_0_417 = all_286_0_324
% 24.53/8.39  										|
% 24.53/8.39  										| Instantiating formula (98) with xE, xH, all_318_0_376, all_332_0_402 and discharging atoms sdtasdt0(xE, xH) = all_332_0_402, sdtasdt0(xE, xH) = all_318_0_376, yields:
% 24.53/8.39  										| (471) all_332_0_402 = all_318_0_376
% 24.53/8.39  										|
% 24.53/8.39  										| Instantiating formula (98) with xE, xH, all_286_2_326, xP and discharging atoms sdtasdt0(xE, xH) = all_286_2_326, sdtasdt0(xE, xH) = xP, yields:
% 24.53/8.39  										| (472) all_286_2_326 = xP
% 24.53/8.39  										|
% 24.53/8.39  										| Instantiating formula (98) with xE, xH, all_286_2_326, all_332_0_402 and discharging atoms sdtasdt0(xE, xH) = all_332_0_402, sdtasdt0(xE, xH) = all_286_2_326, yields:
% 24.53/8.39  										| (473) all_332_0_402 = all_286_2_326
% 24.53/8.39  										|
% 24.53/8.39  										| Instantiating formula (98) with xE, xE, all_356_0_436, all_0_4_4 and discharging atoms sdtasdt0(xE, xE) = all_356_0_436, sdtasdt0(xE, xE) = all_0_4_4, yields:
% 24.53/8.39  										| (474) all_356_0_436 = all_0_4_4
% 24.53/8.39  										|
% 24.53/8.39  										| Instantiating formula (98) with xE, xE, all_330_0_398, all_356_0_436 and discharging atoms sdtasdt0(xE, xE) = all_356_0_436, sdtasdt0(xE, xE) = all_330_0_398, yields:
% 24.53/8.39  										| (475) all_356_0_436 = all_330_0_398
% 24.53/8.39  										|
% 24.53/8.39  										| Combining equations (475,474) yields a new equation:
% 24.53/8.39  										| (476) all_330_0_398 = all_0_4_4
% 24.53/8.39  										|
% 24.53/8.39  										| Simplifying 476 yields:
% 24.53/8.39  										| (477) all_330_0_398 = all_0_4_4
% 24.53/8.39  										|
% 24.53/8.39  										| Combining equations (469,470) yields a new equation:
% 24.53/8.39  										| (478) all_286_0_324 = all_79_0_105
% 24.53/8.39  										|
% 24.53/8.39  										| Combining equations (473,467) yields a new equation:
% 24.53/8.39  										| (479) all_288_0_328 = all_286_2_326
% 24.53/8.39  										|
% 24.53/8.39  										| Combining equations (471,467) yields a new equation:
% 24.53/8.39  										| (480) all_318_0_376 = all_288_0_328
% 24.53/8.39  										|
% 24.53/8.39  										| Simplifying 480 yields:
% 24.53/8.39  										| (481) all_318_0_376 = all_288_0_328
% 24.53/8.39  										|
% 24.53/8.39  										| Combining equations (481,468) yields a new equation:
% 24.53/8.39  										| (482) all_288_0_328 = all_268_0_292
% 24.53/8.39  										|
% 24.53/8.39  										| Simplifying 482 yields:
% 24.53/8.39  										| (483) all_288_0_328 = all_268_0_292
% 24.53/8.39  										|
% 24.53/8.39  										| Combining equations (479,483) yields a new equation:
% 24.53/8.39  										| (484) all_286_2_326 = all_268_0_292
% 24.53/8.39  										|
% 24.53/8.39  										| Simplifying 484 yields:
% 24.53/8.39  										| (485) all_286_2_326 = all_268_0_292
% 24.53/8.39  										|
% 24.53/8.39  										| Combining equations (485,472) yields a new equation:
% 24.53/8.39  										| (486) all_268_0_292 = xP
% 24.53/8.39  										|
% 24.53/8.39  										| Simplifying 486 yields:
% 24.53/8.39  										| (487) all_268_0_292 = xP
% 24.53/8.39  										|
% 24.53/8.39  										| Combining equations (478,470) yields a new equation:
% 24.53/8.39  										| (469) all_342_0_417 = all_79_0_105
% 24.53/8.39  										|
% 24.53/8.39  										| From (472) and (409) follows:
% 24.53/8.39  										| (489) sdtasdt0(xP, xP) = all_286_1_325
% 24.53/8.39  										|
% 24.53/8.39  										| From (487) and (403) follows:
% 24.53/8.39  										| (490) sdtasdt0(xP, xP) = all_268_1_293
% 24.53/8.39  										|
% 24.53/8.39  										| From (469) and (455) follows:
% 24.53/8.39  										| (491) sdtasdt0(xH, all_79_0_105) = all_0_2_2
% 24.53/8.39  										|
% 24.53/8.39  										| From (477) and (441) follows:
% 24.53/8.39  										| (492) sdtasdt0(xH, all_0_4_4) = all_79_0_105
% 24.53/8.39  										|
% 24.53/8.39  										| From (478) and (410) follows:
% 24.53/8.39  										| (493) sdtasdt0(xH, all_79_0_105) = all_286_1_325
% 24.53/8.39  										|
% 24.53/8.39  										| Instantiating formula (98) with xP, xP, all_268_1_293, all_286_1_325 and discharging atoms sdtasdt0(xP, xP) = all_286_1_325, sdtasdt0(xP, xP) = all_268_1_293, yields:
% 24.53/8.39  										| (494) all_286_1_325 = all_268_1_293
% 24.53/8.39  										|
% 24.53/8.39  										| Instantiating formula (98) with xH, all_79_0_105, all_0_2_2, all_286_1_325 and discharging atoms sdtasdt0(xH, all_79_0_105) = all_286_1_325, sdtasdt0(xH, all_79_0_105) = all_0_2_2, yields:
% 24.53/8.39  										| (495) all_286_1_325 = all_0_2_2
% 24.53/8.39  										|
% 24.53/8.39  										| Instantiating formula (98) with xH, all_0_4_4, all_79_0_105, all_226_0_224 and discharging atoms sdtasdt0(xH, all_0_4_4) = all_226_0_224, sdtasdt0(xH, all_0_4_4) = all_79_0_105, yields:
% 24.53/8.39  										| (496) all_226_0_224 = all_79_0_105
% 24.53/8.39  										|
% 24.53/8.39  										| Combining equations (495,494) yields a new equation:
% 24.53/8.39  										| (497) all_268_1_293 = all_0_2_2
% 24.53/8.39  										|
% 24.53/8.39  										| Combining equations (497,494) yields a new equation:
% 24.53/8.39  										| (495) all_286_1_325 = all_0_2_2
% 24.53/8.39  										|
% 24.53/8.39  										| From (496) and (392) follows:
% 24.53/8.39  										| (499) sdtasdt0(xH, all_79_0_105) = all_0_0_0
% 24.53/8.39  										|
% 24.53/8.39  										| From (495) and (493) follows:
% 24.53/8.39  										| (491) sdtasdt0(xH, all_79_0_105) = all_0_2_2
% 24.53/8.39  										|
% 24.53/8.39  										| Instantiating formula (98) with xH, all_79_0_105, all_0_0_0, all_0_2_2 and discharging atoms sdtasdt0(xH, all_79_0_105) = all_0_0_0, sdtasdt0(xH, all_79_0_105) = all_0_2_2, yields:
% 24.53/8.39  										| (501) all_0_0_0 = all_0_2_2
% 24.53/8.39  										|
% 24.53/8.39  										| Equations (501) can reduce 75 to:
% 24.53/8.39  										| (185) $false
% 24.53/8.39  										|
% 24.53/8.39  										|-The branch is then unsatisfiable
% 24.53/8.39  % SZS output end Proof for theBenchmark
% 24.53/8.39  
% 24.53/8.39  7784ms
%------------------------------------------------------------------------------