%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : RNG097+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 20:25:21 EDT 2022

% Result   : Theorem 10.67s 3.20s
% Output   : Proof 26.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : RNG097+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : ePrincess-casc -timeout=%d %s
% 0.13/0.34  % Computer : n028.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 18:01:50 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.47/0.60          ____       _                          
% 0.47/0.60    ___  / __ \_____(_)___  ________  __________
% 0.47/0.60   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.47/0.60  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.47/0.60  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.47/0.60  
% 0.47/0.60  A Theorem Prover for First-Order Logic
% 0.47/0.60  (ePrincess v.1.0)
% 0.47/0.60  
% 0.47/0.60  (c) Philipp Rümmer, 2009-2015
% 0.47/0.60  (c) Peter Backeman, 2014-2015
% 0.47/0.60  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.47/0.60  Free software under GNU Lesser General Public License (LGPL).
% 0.47/0.60  Bug reports to peter@backeman.se
% 0.47/0.60  
% 0.47/0.60  For more information, visit http://user.uu.se/~petba168/breu/
% 0.47/0.60  
% 0.47/0.60  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.69/0.65  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.59/0.99  Prover 0: Preprocessing ...
% 3.29/1.42  Prover 0: Constructing countermodel ...
% 10.67/3.20  Prover 0: proved (2551ms)
% 10.67/3.20  
% 10.67/3.20  No countermodel exists, formula is valid
% 10.67/3.20  % SZS status Theorem for theBenchmark
% 10.67/3.20  
% 10.67/3.20  Generating proof ... found it (size 321)
% 25.72/8.78  
% 25.72/8.78  % SZS output start Proof for theBenchmark
% 25.72/8.78  Assumed formulas after preprocessing and simplification: 
% 25.72/8.78  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : ( ~ (sz10 = sz00) & sdtpldt1(xI, xJ) = v1 & sdtasdt0(xy, xa) = v2 & sdtasdt0(xx, v7) = v8 & sdtasdt0(xx, xb) = v3 & sdtpldt0(v3, v4) = v6 & sdtpldt0(v2, v6) = v5 & sdtpldt0(v2, v3) = xw & sdtpldt0(xw, v4) = v5 & sdtpldt0(xb, v0) = v7 & sdtpldt0(xa, xb) = sz10 & smndt0(xx) = v4 & smndt0(sz10) = v0 & aIdeal0(xJ) & aIdeal0(xI) & aElementOf0(xb, xJ) & aElementOf0(xa, xI) & aElement0(xy) & aElement0(xx) & aElement0(sz10) & aElement0(sz00) &  ~ aElementOf0(v8, xI) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (sdtpldt1(v9, v10) = v11) |  ~ (sdtpldt0(v13, v14) = v12) |  ~ aElementOf0(v14, v10) |  ~ aElementOf0(v13, v9) |  ~ aSet0(v10) |  ~ aSet0(v9) | aElementOf0(v12, v11)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (sdtasdt0(v11, v9) = v13) |  ~ (sdtasdt0(v10, v9) = v12) |  ~ (sdtpldt0(v12, v13) = v14) |  ~ aElement0(v11) |  ~ aElement0(v10) |  ~ aElement0(v9) |  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] : (sdtasdt0(v15, v9) = v14 & sdtasdt0(v9, v15) = v16 & sdtasdt0(v9, v11) = v18 & sdtasdt0(v9, v10) = v17 & sdtpldt0(v17, v18) = v16 & sdtpldt0(v10, v11) = v15)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (sdtasdt0(v9, v11) = v13) |  ~ (sdtasdt0(v9, v10) = v12) |  ~ (sdtpldt0(v12, v13) = v14) |  ~ aElement0(v11) |  ~ aElement0(v10) |  ~ aElement0(v9) |  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] : (sdtasdt0(v15, v9) = v16 & sdtasdt0(v11, v9) = v18 & sdtasdt0(v10, v9) = v17 & sdtasdt0(v9, v15) = v14 & sdtpldt0(v17, v18) = v16 & sdtpldt0(v10, v11) = v15)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (sdtasdt0(v12, v11) = v13) |  ~ (sdtasdt0(v9, v10) = v12) |  ~ aElement0(v11) |  ~ aElement0(v10) |  ~ aElement0(v9) |  ? [v14] : (sdtasdt0(v10, v11) = v14 & sdtasdt0(v9, v14) = v13)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (sdtasdt0(v12, v9) = v13) |  ~ (sdtpldt0(v10, v11) = v12) |  ~ aElement0(v11) |  ~ aElement0(v10) |  ~ aElement0(v9) |  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] : (sdtasdt0(v11, v9) = v18 & sdtasdt0(v10, v9) = v17 & sdtasdt0(v9, v12) = v14 & sdtasdt0(v9, v11) = v16 & sdtasdt0(v9, v10) = v15 & sdtpldt0(v17, v18) = v13 & sdtpldt0(v15, v16) = v14)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (sdtasdt0(v10, v11) = v12) |  ~ (sdtasdt0(v9, v12) = v13) |  ~ aElement0(v11) |  ~ aElement0(v10) |  ~ aElement0(v9) |  ? [v14] : (sdtasdt0(v14, v11) = v13 & sdtasdt0(v9, v10) = v14)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (sdtasdt0(v9, v12) = v13) |  ~ (sdtpldt0(v10, v11) = v12) |  ~ aElement0(v11) |  ~ aElement0(v10) |  ~ aElement0(v9) |  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] : (sdtasdt0(v12, v9) = v16 & sdtasdt0(v11, v9) = v18 & sdtasdt0(v10, v9) = v17 & sdtasdt0(v9, v11) = v15 & sdtasdt0(v9, v10) = v14 & sdtpldt0(v17, v18) = v16 & sdtpldt0(v14, v15) = v13)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (sdtpldt0(v12, v11) = v13) |  ~ (sdtpldt0(v9, v10) = v12) |  ~ aElement0(v11) |  ~ aElement0(v10) |  ~ aElement0(v9) |  ? [v14] : (sdtpldt0(v10, v11) = v14 & sdtpldt0(v9, v14) = v13)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (sdtpldt0(v10, v11) = v12) |  ~ (sdtpldt0(v9, v12) = v13) |  ~ aElement0(v11) |  ~ aElement0(v10) |  ~ aElement0(v9) |  ? [v14] : (sdtpldt0(v14, v11) = v13 & sdtpldt0(v9, v10) = v14)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (sdtpldt0(v9, v12) = v13) |  ~ (smndt0(v10) = v12) |  ~ sdteqdtlpzmzozddtrp0(v9, v10, v11) |  ~ aIdeal0(v11) |  ~ aElement0(v10) |  ~ aElement0(v9) | aElementOf0(v13, v11)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (sdtpldt0(v9, v12) = v13) |  ~ (smndt0(v10) = v12) |  ~ aIdeal0(v11) |  ~ aElementOf0(v13, v11) |  ~ aElement0(v10) |  ~ aElement0(v9) | sdteqdtlpzmzozddtrp0(v9, v10, v11)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v11 |  ~ (sdtasasdt0(v9, v10) = v11) |  ~ aSet0(v12) |  ~ aSet0(v10) |  ~ aSet0(v9) |  ? [v13] : (( ~ aElementOf0(v13, v12) |  ~ aElementOf0(v13, v10) |  ~ aElementOf0(v13, v9)) & (aElementOf0(v13, v12) | (aElementOf0(v13, v10) & aElementOf0(v13, v9))))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v11 |  ~ (sdtpldt1(v9, v10) = v11) |  ~ aSet0(v12) |  ~ aSet0(v10) |  ~ aSet0(v9) |  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] : (( ~ aElementOf0(v13, v12) |  ! [v17] :  ! [v18] : ( ~ (sdtpldt0(v17, v18) = v13) |  ~ aElementOf0(v18, v10) |  ~ aElementOf0(v17, v9))) & (aElementOf0(v13, v12) | (v16 = v13 & sdtpldt0(v14, v15) = v13 & aElementOf0(v15, v10) & aElementOf0(v14, v9))))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (sdtasasdt0(v12, v11) = v10) |  ~ (sdtasasdt0(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (sdtpldt1(v12, v11) = v10) |  ~ (sdtpldt1(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) |  ~ aElementOf0(v12, v11) |  ~ aSet0(v10) |  ~ aSet0(v9) | aElementOf0(v12, v10)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (sdtasasdt0(v9, v10) = v11) |  ~ aElementOf0(v12, v11) |  ~ aSet0(v10) |  ~ aSet0(v9) | aElementOf0(v12, v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (sdtasasdt0(v9, v10) = v11) |  ~ aElementOf0(v12, v10) |  ~ aElementOf0(v12, v9) |  ~ aSet0(v10) |  ~ aSet0(v9) | aElementOf0(v12, v11)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (sdtpldt1(v9, v10) = v11) |  ~ aElementOf0(v12, v11) |  ~ aSet0(v10) |  ~ aSet0(v9) |  ? [v13] :  ? [v14] : (sdtpldt0(v13, v14) = v12 & aElementOf0(v14, v10) & aElementOf0(v13, v9))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (sdtasdt0(v11, v10) = v12) |  ~ aIdeal0(v9) |  ~ aElementOf0(v10, v9) |  ~ aElement0(v11) | aElementOf0(v12, v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (sdtpldt0(v10, v11) = v12) |  ~ aIdeal0(v9) |  ~ aElementOf0(v11, v9) |  ~ aElementOf0(v10, v9) | aElementOf0(v12, v9)) &  ! [v9] :  ! [v10] :  ! [v11] : (v11 = sz00 |  ~ (sdtpldt0(v10, v9) = v11) |  ~ (smndt0(v9) = v10) |  ~ aElement0(v9)) &  ! [v9] :  ! [v10] :  ! [v11] : (v11 = sz00 |  ~ (sdtpldt0(v9, v10) = v11) |  ~ (smndt0(v9) = v10) |  ~ aElement0(v9)) &  ! [v9] :  ! [v10] :  ! [v11] : (v10 = v9 |  ~ (smndt0(v11) = v10) |  ~ (smndt0(v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtasasdt0(v9, v10) = v11) |  ~ aIdeal0(v10) |  ~ aIdeal0(v9) | aIdeal0(v11)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtasasdt0(v9, v10) = v11) |  ~ aSet0(v10) |  ~ aSet0(v9) | aSet0(v11)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtpldt1(v9, v10) = v11) |  ~ aIdeal0(v10) |  ~ aIdeal0(v9) | aIdeal0(v11)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtpldt1(v9, v10) = v11) |  ~ aSet0(v10) |  ~ aSet0(v9) | aSet0(v11)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtasdt0(v10, v9) = v11) |  ~ aElement0(v10) |  ~ aElement0(v9) | sdtasdt0(v9, v10) = v11) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtasdt0(v9, v10) = v11) |  ~ aElement0(v10) |  ~ aElement0(v9) | sdtasdt0(v10, v9) = v11) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtasdt0(v9, v10) = v11) |  ~ aElement0(v10) |  ~ aElement0(v9) | aElement0(v11)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtpldt0(v10, v9) = v11) |  ~ (smndt0(v9) = v10) |  ~ aElement0(v9) | sdtpldt0(v9, v10) = sz00) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtpldt0(v10, v9) = v11) |  ~ aElement0(v10) |  ~ aElement0(v9) | sdtpldt0(v9, v10) = v11) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtpldt0(v9, v10) = v11) |  ~ (smndt0(v9) = v10) |  ~ aElement0(v9) | sdtpldt0(v10, v9) = sz00) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtpldt0(v9, v10) = v11) |  ~ aElement0(v10) |  ~ aElement0(v9) | sdtpldt0(v10, v9) = v11) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (sdtpldt0(v9, v10) = v11) |  ~ aElement0(v10) |  ~ aElement0(v9) | aElement0(v11)) &  ! [v9] :  ! [v10] : (v10 = v9 |  ~ (sdtasdt0(v9, sz10) = v10) |  ~ aElement0(v9)) &  ! [v9] :  ! [v10] : (v10 = v9 |  ~ (sdtasdt0(sz10, v9) = v10) |  ~ aElement0(v9)) &  ! [v9] :  ! [v10] : (v10 = v9 |  ~ (sdtpldt0(v9, sz00) = v10) |  ~ aElement0(v9)) &  ! [v9] :  ! [v10] : (v10 = v9 |  ~ (sdtpldt0(sz00, v9) = v10) |  ~ aElement0(v9)) &  ! [v9] :  ! [v10] : (v10 = v9 |  ~ aSet0(v10) |  ~ aSet0(v9) |  ? [v11] : ((aElementOf0(v11, v10) &  ~ aElementOf0(v11, v9)) | (aElementOf0(v11, v9) &  ~ aElementOf0(v11, v10)))) &  ! [v9] :  ! [v10] : (v10 = sz00 | v9 = sz00 |  ~ (sdtasdt0(v9, v10) = sz00) |  ~ aElement0(v10) |  ~ aElement0(v9)) &  ! [v9] :  ! [v10] : (v10 = sz00 |  ~ (sdtasdt0(v9, sz00) = v10) |  ~ aElement0(v9)) &  ! [v9] :  ! [v10] : (v10 = sz00 |  ~ (sdtasdt0(sz00, v9) = v10) |  ~ aElement0(v9)) &  ! [v9] :  ! [v10] : ( ~ (sdtasdt0(v9, v0) = v10) |  ~ aElement0(v9) | (sdtasdt0(v0, v9) = v10 & smndt0(v9) = v10)) &  ! [v9] :  ! [v10] : ( ~ (sdtasdt0(v9, sz10) = v10) |  ~ aElement0(v9) | sdtasdt0(sz10, v9) = v9) &  ! [v9] :  ! [v10] : ( ~ (sdtasdt0(v9, sz00) = v10) |  ~ aElement0(v9) | sdtasdt0(sz00, v9) = sz00) &  ! [v9] :  ! [v10] : ( ~ (sdtasdt0(v0, v9) = v10) |  ~ aElement0(v9) | (sdtasdt0(v9, v0) = v10 & smndt0(v9) = v10)) &  ! [v9] :  ! [v10] : ( ~ (sdtasdt0(sz10, v9) = v10) |  ~ aElement0(v9) | sdtasdt0(v9, sz10) = v9) &  ! [v9] :  ! [v10] : ( ~ (sdtasdt0(sz00, v9) = v10) |  ~ aElement0(v9) | sdtasdt0(v9, sz00) = sz00) &  ! [v9] :  ! [v10] : ( ~ (sdtpldt0(v9, sz00) = v10) |  ~ aElement0(v9) | sdtpldt0(sz00, v9) = v9) &  ! [v9] :  ! [v10] : ( ~ (sdtpldt0(sz00, v9) = v10) |  ~ aElement0(v9) | sdtpldt0(v9, sz00) = v9) &  ! [v9] :  ! [v10] : ( ~ (smndt0(v9) = v10) |  ~ aElement0(v9) | aElement0(v10)) &  ! [v9] :  ! [v10] : ( ~ (smndt0(v9) = v10) |  ~ aElement0(v9) | (sdtasdt0(v9, v0) = v10 & sdtasdt0(v0, v9) = v10)) &  ! [v9] :  ! [v10] : ( ~ aElementOf0(v10, v9) |  ~ aSet0(v9) | aElement0(v10)) &  ! [v9] : ( ~ aIdeal0(v9) | aSet0(v9)) &  ! [v9] : ( ~ aSet0(v9) | aIdeal0(v9) |  ? [v10] :  ? [v11] :  ? [v12] : (aElementOf0(v10, v9) & ((sdtasdt0(v11, v10) = v12 & aElement0(v11) &  ~ aElementOf0(v12, v9)) | (sdtpldt0(v10, v11) = v12 & aElementOf0(v11, v9) &  ~ aElementOf0(v12, v9))))) &  ! [v9] : ( ~ aElement0(v9) | aElementOf0(v9, v1)))
% 26.02/8.84  | 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:
% 26.02/8.84  | (1)  ~ (sz10 = sz00) & sdtpldt1(xI, xJ) = all_0_7_7 & sdtasdt0(xy, xa) = all_0_6_6 & sdtasdt0(xx, all_0_1_1) = all_0_0_0 & sdtasdt0(xx, xb) = all_0_5_5 & sdtpldt0(all_0_5_5, all_0_4_4) = all_0_2_2 & sdtpldt0(all_0_6_6, all_0_2_2) = all_0_3_3 & sdtpldt0(all_0_6_6, all_0_5_5) = xw & sdtpldt0(xw, all_0_4_4) = all_0_3_3 & sdtpldt0(xb, all_0_8_8) = all_0_1_1 & sdtpldt0(xa, xb) = sz10 & smndt0(xx) = all_0_4_4 & smndt0(sz10) = all_0_8_8 & aIdeal0(xJ) & aIdeal0(xI) & aElementOf0(xb, xJ) & aElementOf0(xa, xI) & aElement0(xy) & aElement0(xx) & aElement0(sz10) & aElement0(sz00) &  ~ aElementOf0(all_0_0_0, xI) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (sdtpldt1(v0, v1) = v2) |  ~ (sdtpldt0(v4, v5) = v3) |  ~ aElementOf0(v5, v1) |  ~ aElementOf0(v4, v0) |  ~ aSet0(v1) |  ~ aSet0(v0) | aElementOf0(v3, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (sdtasdt0(v2, v0) = v4) |  ~ (sdtasdt0(v1, v0) = v3) |  ~ (sdtpldt0(v3, v4) = v5) |  ~ aElement0(v2) |  ~ aElement0(v1) |  ~ aElement0(v0) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (sdtasdt0(v6, v0) = v5 & sdtasdt0(v0, v6) = v7 & sdtasdt0(v0, v2) = v9 & sdtasdt0(v0, v1) = v8 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v1, v2) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (sdtasdt0(v0, v2) = v4) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ (sdtpldt0(v3, v4) = v5) |  ~ aElement0(v2) |  ~ aElement0(v1) |  ~ aElement0(v0) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (sdtasdt0(v6, v0) = v7 & sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v6) = v5 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v1, v2) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtasdt0(v3, v2) = v4) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ aElement0(v2) |  ~ aElement0(v1) |  ~ aElement0(v0) |  ? [v5] : (sdtasdt0(v1, v2) = v5 & sdtasdt0(v0, v5) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtasdt0(v3, v0) = v4) |  ~ (sdtpldt0(v1, v2) = v3) |  ~ aElement0(v2) |  ~ aElement0(v1) |  ~ aElement0(v0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v3) = v5 & sdtasdt0(v0, v2) = v7 & sdtasdt0(v0, v1) = v6 & sdtpldt0(v8, v9) = v4 & sdtpldt0(v6, v7) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtasdt0(v1, v2) = v3) |  ~ (sdtasdt0(v0, v3) = v4) |  ~ aElement0(v2) |  ~ aElement0(v1) |  ~ aElement0(v0) |  ? [v5] : (sdtasdt0(v5, v2) = v4 & sdtasdt0(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtasdt0(v0, v3) = v4) |  ~ (sdtpldt0(v1, v2) = v3) |  ~ aElement0(v2) |  ~ aElement0(v1) |  ~ aElement0(v0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (sdtasdt0(v3, v0) = v7 & sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v2) = v6 & sdtasdt0(v0, v1) = v5 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v5, v6) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ aElement0(v2) |  ~ aElement0(v1) |  ~ aElement0(v0) |  ? [v5] : (sdtpldt0(v1, v2) = v5 & sdtpldt0(v0, v5) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtpldt0(v1, v2) = v3) |  ~ (sdtpldt0(v0, v3) = v4) |  ~ aElement0(v2) |  ~ aElement0(v1) |  ~ aElement0(v0) |  ? [v5] : (sdtpldt0(v5, v2) = v4 & sdtpldt0(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtpldt0(v0, v3) = v4) |  ~ (smndt0(v1) = v3) |  ~ sdteqdtlpzmzozddtrp0(v0, v1, v2) |  ~ aIdeal0(v2) |  ~ aElement0(v1) |  ~ aElement0(v0) | aElementOf0(v4, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtpldt0(v0, v3) = v4) |  ~ (smndt0(v1) = v3) |  ~ aIdeal0(v2) |  ~ aElementOf0(v4, v2) |  ~ aElement0(v1) |  ~ aElement0(v0) | sdteqdtlpzmzozddtrp0(v0, v1, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (sdtasasdt0(v0, v1) = v2) |  ~ aSet0(v3) |  ~ aSet0(v1) |  ~ aSet0(v0) |  ? [v4] : (( ~ aElementOf0(v4, v3) |  ~ aElementOf0(v4, v1) |  ~ aElementOf0(v4, v0)) & (aElementOf0(v4, v3) | (aElementOf0(v4, v1) & aElementOf0(v4, v0))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (sdtpldt1(v0, v1) = v2) |  ~ aSet0(v3) |  ~ aSet0(v1) |  ~ aSet0(v0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (( ~ aElementOf0(v4, v3) |  ! [v8] :  ! [v9] : ( ~ (sdtpldt0(v8, v9) = v4) |  ~ aElementOf0(v9, v1) |  ~ aElementOf0(v8, v0))) & (aElementOf0(v4, v3) | (v7 = v4 & sdtpldt0(v5, v6) = v4 & aElementOf0(v6, v1) & aElementOf0(v5, v0))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (sdtasasdt0(v3, v2) = v1) |  ~ (sdtasasdt0(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (sdtpldt1(v3, v2) = v1) |  ~ (sdtpldt1(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) |  ~ aElementOf0(v3, v2) |  ~ aSet0(v1) |  ~ aSet0(v0) | aElementOf0(v3, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sdtasasdt0(v0, v1) = v2) |  ~ aElementOf0(v3, v2) |  ~ aSet0(v1) |  ~ aSet0(v0) | aElementOf0(v3, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sdtasasdt0(v0, v1) = v2) |  ~ aElementOf0(v3, v1) |  ~ aElementOf0(v3, v0) |  ~ aSet0(v1) |  ~ aSet0(v0) | aElementOf0(v3, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sdtpldt1(v0, v1) = v2) |  ~ aElementOf0(v3, v2) |  ~ aSet0(v1) |  ~ aSet0(v0) |  ? [v4] :  ? [v5] : (sdtpldt0(v4, v5) = v3 & aElementOf0(v5, v1) & aElementOf0(v4, v0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sdtasdt0(v2, v1) = v3) |  ~ aIdeal0(v0) |  ~ aElementOf0(v1, v0) |  ~ aElement0(v2) | aElementOf0(v3, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sdtpldt0(v1, v2) = v3) |  ~ aIdeal0(v0) |  ~ aElementOf0(v2, v0) |  ~ aElementOf0(v1, v0) | aElementOf0(v3, v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = sz00 |  ~ (sdtpldt0(v1, v0) = v2) |  ~ (smndt0(v0) = v1) |  ~ aElement0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = sz00 |  ~ (sdtpldt0(v0, v1) = v2) |  ~ (smndt0(v0) = v1) |  ~ aElement0(v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (smndt0(v2) = v1) |  ~ (smndt0(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasasdt0(v0, v1) = v2) |  ~ aIdeal0(v1) |  ~ aIdeal0(v0) | aIdeal0(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasasdt0(v0, v1) = v2) |  ~ aSet0(v1) |  ~ aSet0(v0) | aSet0(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtpldt1(v0, v1) = v2) |  ~ aIdeal0(v1) |  ~ aIdeal0(v0) | aIdeal0(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtpldt1(v0, v1) = v2) |  ~ aSet0(v1) |  ~ aSet0(v0) | aSet0(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasdt0(v1, v0) = v2) |  ~ aElement0(v1) |  ~ aElement0(v0) | sdtasdt0(v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) |  ~ aElement0(v1) |  ~ aElement0(v0) | sdtasdt0(v1, v0) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) |  ~ aElement0(v1) |  ~ aElement0(v0) | aElement0(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtpldt0(v1, v0) = v2) |  ~ (smndt0(v0) = v1) |  ~ aElement0(v0) | sdtpldt0(v0, v1) = sz00) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtpldt0(v1, v0) = v2) |  ~ aElement0(v1) |  ~ aElement0(v0) | sdtpldt0(v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) |  ~ (smndt0(v0) = v1) |  ~ aElement0(v0) | sdtpldt0(v1, v0) = sz00) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) |  ~ aElement0(v1) |  ~ aElement0(v0) | sdtpldt0(v1, v0) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) |  ~ aElement0(v1) |  ~ aElement0(v0) | aElement0(v2)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (sdtasdt0(v0, sz10) = v1) |  ~ aElement0(v0)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (sdtasdt0(sz10, v0) = v1) |  ~ aElement0(v0)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (sdtpldt0(v0, sz00) = v1) |  ~ aElement0(v0)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (sdtpldt0(sz00, v0) = v1) |  ~ aElement0(v0)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ aSet0(v1) |  ~ aSet0(v0) |  ? [v2] : ((aElementOf0(v2, v1) &  ~ aElementOf0(v2, v0)) | (aElementOf0(v2, v0) &  ~ aElementOf0(v2, v1)))) &  ! [v0] :  ! [v1] : (v1 = sz00 | v0 = sz00 |  ~ (sdtasdt0(v0, v1) = sz00) |  ~ aElement0(v1) |  ~ aElement0(v0)) &  ! [v0] :  ! [v1] : (v1 = sz00 |  ~ (sdtasdt0(v0, sz00) = v1) |  ~ aElement0(v0)) &  ! [v0] :  ! [v1] : (v1 = sz00 |  ~ (sdtasdt0(sz00, v0) = v1) |  ~ aElement0(v0)) &  ! [v0] :  ! [v1] : ( ~ (sdtasdt0(v0, all_0_8_8) = v1) |  ~ aElement0(v0) | (sdtasdt0(all_0_8_8, v0) = v1 & smndt0(v0) = v1)) &  ! [v0] :  ! [v1] : ( ~ (sdtasdt0(v0, sz10) = v1) |  ~ aElement0(v0) | sdtasdt0(sz10, v0) = v0) &  ! [v0] :  ! [v1] : ( ~ (sdtasdt0(v0, sz00) = v1) |  ~ aElement0(v0) | sdtasdt0(sz00, v0) = sz00) &  ! [v0] :  ! [v1] : ( ~ (sdtasdt0(all_0_8_8, v0) = v1) |  ~ aElement0(v0) | (sdtasdt0(v0, all_0_8_8) = v1 & smndt0(v0) = v1)) &  ! [v0] :  ! [v1] : ( ~ (sdtasdt0(sz10, v0) = v1) |  ~ aElement0(v0) | sdtasdt0(v0, sz10) = v0) &  ! [v0] :  ! [v1] : ( ~ (sdtasdt0(sz00, v0) = v1) |  ~ aElement0(v0) | sdtasdt0(v0, sz00) = sz00) &  ! [v0] :  ! [v1] : ( ~ (sdtpldt0(v0, sz00) = v1) |  ~ aElement0(v0) | sdtpldt0(sz00, v0) = v0) &  ! [v0] :  ! [v1] : ( ~ (sdtpldt0(sz00, v0) = v1) |  ~ aElement0(v0) | sdtpldt0(v0, sz00) = v0) &  ! [v0] :  ! [v1] : ( ~ (smndt0(v0) = v1) |  ~ aElement0(v0) | aElement0(v1)) &  ! [v0] :  ! [v1] : ( ~ (smndt0(v0) = v1) |  ~ aElement0(v0) | (sdtasdt0(v0, all_0_8_8) = v1 & sdtasdt0(all_0_8_8, v0) = v1)) &  ! [v0] :  ! [v1] : ( ~ aElementOf0(v1, v0) |  ~ aSet0(v0) | aElement0(v1)) &  ! [v0] : ( ~ aIdeal0(v0) | aSet0(v0)) &  ! [v0] : ( ~ aSet0(v0) | aIdeal0(v0) |  ? [v1] :  ? [v2] :  ? [v3] : (aElementOf0(v1, v0) & ((sdtasdt0(v2, v1) = v3 & aElement0(v2) &  ~ aElementOf0(v3, v0)) | (sdtpldt0(v1, v2) = v3 & aElementOf0(v2, v0) &  ~ aElementOf0(v3, v0))))) &  ! [v0] : ( ~ aElement0(v0) | aElementOf0(v0, all_0_7_7))
% 26.02/8.86  |
% 26.02/8.86  | Applying alpha-rule on (1) yields:
% 26.02/8.86  | (2) sdtpldt0(xb, all_0_8_8) = all_0_1_1
% 26.02/8.86  | (3)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtasdt0(v1, v2) = v3) |  ~ (sdtasdt0(v0, v3) = v4) |  ~ aElement0(v2) |  ~ aElement0(v1) |  ~ aElement0(v0) |  ? [v5] : (sdtasdt0(v5, v2) = v4 & sdtasdt0(v0, v1) = v5))
% 26.02/8.86  | (4)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (sdtpldt1(v0, v1) = v2) |  ~ (sdtpldt0(v4, v5) = v3) |  ~ aElementOf0(v5, v1) |  ~ aElementOf0(v4, v0) |  ~ aSet0(v1) |  ~ aSet0(v0) | aElementOf0(v3, v2))
% 26.02/8.86  | (5) sdtasdt0(xy, xa) = all_0_6_6
% 26.02/8.86  | (6)  ! [v0] : ( ~ aSet0(v0) | aIdeal0(v0) |  ? [v1] :  ? [v2] :  ? [v3] : (aElementOf0(v1, v0) & ((sdtasdt0(v2, v1) = v3 & aElement0(v2) &  ~ aElementOf0(v3, v0)) | (sdtpldt0(v1, v2) = v3 & aElementOf0(v2, v0) &  ~ aElementOf0(v3, v0)))))
% 26.02/8.86  | (7)  ~ (sz10 = sz00)
% 26.02/8.86  | (8)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (sdtasasdt0(v3, v2) = v1) |  ~ (sdtasasdt0(v3, v2) = v0))
% 26.02/8.86  | (9)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtpldt0(v1, v2) = v3) |  ~ (sdtpldt0(v0, v3) = v4) |  ~ aElement0(v2) |  ~ aElement0(v1) |  ~ aElement0(v0) |  ? [v5] : (sdtpldt0(v5, v2) = v4 & sdtpldt0(v0, v1) = v5))
% 26.02/8.86  | (10)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtpldt1(v0, v1) = v2) |  ~ aSet0(v1) |  ~ aSet0(v0) | aSet0(v2))
% 26.02/8.86  | (11)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtpldt1(v0, v1) = v2) |  ~ aIdeal0(v1) |  ~ aIdeal0(v0) | aIdeal0(v2))
% 26.02/8.86  | (12)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (sdtasasdt0(v0, v1) = v2) |  ~ aSet0(v3) |  ~ aSet0(v1) |  ~ aSet0(v0) |  ? [v4] : (( ~ aElementOf0(v4, v3) |  ~ aElementOf0(v4, v1) |  ~ aElementOf0(v4, v0)) & (aElementOf0(v4, v3) | (aElementOf0(v4, v1) & aElementOf0(v4, v0)))))
% 26.02/8.86  | (13)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) |  ~ aElement0(v1) |  ~ aElement0(v0) | sdtasdt0(v1, v0) = v2)
% 26.02/8.86  | (14)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtasdt0(v3, v2) = v4) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ aElement0(v2) |  ~ aElement0(v1) |  ~ aElement0(v0) |  ? [v5] : (sdtasdt0(v1, v2) = v5 & sdtasdt0(v0, v5) = v4))
% 26.02/8.86  | (15)  ! [v0] :  ! [v1] : ( ~ (sdtasdt0(v0, sz00) = v1) |  ~ aElement0(v0) | sdtasdt0(sz00, v0) = sz00)
% 26.02/8.86  | (16)  ! [v0] :  ! [v1] : (v1 = sz00 |  ~ (sdtasdt0(v0, sz00) = v1) |  ~ aElement0(v0))
% 26.02/8.86  | (17)  ! [v0] :  ! [v1] : ( ~ (sdtasdt0(v0, sz10) = v1) |  ~ aElement0(v0) | sdtasdt0(sz10, v0) = v0)
% 26.02/8.86  | (18)  ! [v0] :  ! [v1] : ( ~ aElementOf0(v1, v0) |  ~ aSet0(v0) | aElement0(v1))
% 26.02/8.87  | (19) sdtpldt0(xa, xb) = sz10
% 26.02/8.87  | (20)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sdtasasdt0(v0, v1) = v2) |  ~ aElementOf0(v3, v2) |  ~ aSet0(v1) |  ~ aSet0(v0) | aElementOf0(v3, v1))
% 26.02/8.87  | (21)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasasdt0(v0, v1) = v2) |  ~ aIdeal0(v1) |  ~ aIdeal0(v0) | aIdeal0(v2))
% 26.02/8.87  | (22) aElementOf0(xb, xJ)
% 26.02/8.87  | (23)  ! [v0] :  ! [v1] : ( ~ (sdtasdt0(sz10, v0) = v1) |  ~ aElement0(v0) | sdtasdt0(v0, sz10) = v0)
% 26.02/8.87  | (24)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) |  ~ aElement0(v1) |  ~ aElement0(v0) | aElement0(v2))
% 26.02/8.87  | (25) aElement0(sz10)
% 26.02/8.87  | (26) sdtpldt0(all_0_5_5, all_0_4_4) = all_0_2_2
% 26.02/8.87  | (27)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtpldt0(v1, v0) = v2) |  ~ aElement0(v1) |  ~ aElement0(v0) | sdtpldt0(v0, v1) = v2)
% 26.02/8.87  | (28)  ~ aElementOf0(all_0_0_0, xI)
% 26.02/8.87  | (29)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (sdtasdt0(v3, v2) = v1) |  ~ (sdtasdt0(v3, v2) = v0))
% 26.02/8.87  | (30)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sdtpldt1(v0, v1) = v2) |  ~ aElementOf0(v3, v2) |  ~ aSet0(v1) |  ~ aSet0(v0) |  ? [v4] :  ? [v5] : (sdtpldt0(v4, v5) = v3 & aElementOf0(v5, v1) & aElementOf0(v4, v0)))
% 26.02/8.87  | (31) sdtasdt0(xx, all_0_1_1) = all_0_0_0
% 26.02/8.87  | (32) aElement0(xy)
% 26.02/8.87  | (33)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sdtpldt0(v1, v2) = v3) |  ~ aIdeal0(v0) |  ~ aElementOf0(v2, v0) |  ~ aElementOf0(v1, v0) | aElementOf0(v3, v0))
% 26.02/8.87  | (34)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (sdtasdt0(sz10, v0) = v1) |  ~ aElement0(v0))
% 26.02/8.87  | (35)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtpldt0(v0, v3) = v4) |  ~ (smndt0(v1) = v3) |  ~ aIdeal0(v2) |  ~ aElementOf0(v4, v2) |  ~ aElement0(v1) |  ~ aElement0(v0) | sdteqdtlpzmzozddtrp0(v0, v1, v2))
% 26.02/8.87  | (36)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (sdtpldt1(v3, v2) = v1) |  ~ (sdtpldt1(v3, v2) = v0))
% 26.02/8.87  | (37)  ! [v0] :  ! [v1] : ( ~ (sdtpldt0(v0, sz00) = v1) |  ~ aElement0(v0) | sdtpldt0(sz00, v0) = v0)
% 26.02/8.87  | (38)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (sdtasdt0(v2, v0) = v4) |  ~ (sdtasdt0(v1, v0) = v3) |  ~ (sdtpldt0(v3, v4) = v5) |  ~ aElement0(v2) |  ~ aElement0(v1) |  ~ aElement0(v0) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (sdtasdt0(v6, v0) = v5 & sdtasdt0(v0, v6) = v7 & sdtasdt0(v0, v2) = v9 & sdtasdt0(v0, v1) = v8 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v1, v2) = v6))
% 26.02/8.87  | (39)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) |  ~ aElement0(v1) |  ~ aElement0(v0) | aElement0(v2))
% 26.02/8.87  | (40)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasasdt0(v0, v1) = v2) |  ~ aSet0(v1) |  ~ aSet0(v0) | aSet0(v2))
% 26.02/8.87  | (41)  ! [v0] : ( ~ aElement0(v0) | aElementOf0(v0, all_0_7_7))
% 26.02/8.87  | (42)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtasdt0(v1, v0) = v2) |  ~ aElement0(v1) |  ~ aElement0(v0) | sdtasdt0(v0, v1) = v2)
% 26.02/8.87  | (43)  ! [v0] :  ! [v1] : ( ~ (sdtpldt0(sz00, v0) = v1) |  ~ aElement0(v0) | sdtpldt0(v0, sz00) = v0)
% 26.02/8.87  | (44)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (smndt0(v2) = v1) |  ~ (smndt0(v2) = v0))
% 26.02/8.87  | (45)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sdtasdt0(v2, v1) = v3) |  ~ aIdeal0(v0) |  ~ aElementOf0(v1, v0) |  ~ aElement0(v2) | aElementOf0(v3, v0))
% 26.02/8.87  | (46) sdtasdt0(xx, xb) = all_0_5_5
% 26.02/8.87  | (47)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (sdtpldt0(v0, sz00) = v1) |  ~ aElement0(v0))
% 26.02/8.87  | (48) aIdeal0(xI)
% 26.02/8.87  | (49)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (sdtpldt0(v3, v2) = v1) |  ~ (sdtpldt0(v3, v2) = v0))
% 26.02/8.87  | (50)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = sz00 |  ~ (sdtpldt0(v0, v1) = v2) |  ~ (smndt0(v0) = v1) |  ~ aElement0(v0))
% 26.02/8.87  | (51)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (sdtpldt1(v0, v1) = v2) |  ~ aSet0(v3) |  ~ aSet0(v1) |  ~ aSet0(v0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (( ~ aElementOf0(v4, v3) |  ! [v8] :  ! [v9] : ( ~ (sdtpldt0(v8, v9) = v4) |  ~ aElementOf0(v9, v1) |  ~ aElementOf0(v8, v0))) & (aElementOf0(v4, v3) | (v7 = v4 & sdtpldt0(v5, v6) = v4 & aElementOf0(v6, v1) & aElementOf0(v5, v0)))))
% 26.02/8.87  | (52) smndt0(xx) = all_0_4_4
% 26.02/8.87  | (53) sdtpldt1(xI, xJ) = all_0_7_7
% 26.02/8.87  | (54)  ! [v0] : ( ~ aIdeal0(v0) | aSet0(v0))
% 26.02/8.87  | (55)  ! [v0] :  ! [v1] : (v1 = sz00 |  ~ (sdtasdt0(sz00, v0) = v1) |  ~ aElement0(v0))
% 26.02/8.87  | (56)  ! [v0] :  ! [v1] : (v1 = sz00 | v0 = sz00 |  ~ (sdtasdt0(v0, v1) = sz00) |  ~ aElement0(v1) |  ~ aElement0(v0))
% 26.02/8.87  | (57)  ! [v0] :  ! [v1] : ( ~ (smndt0(v0) = v1) |  ~ aElement0(v0) | (sdtasdt0(v0, all_0_8_8) = v1 & sdtasdt0(all_0_8_8, v0) = v1))
% 26.02/8.87  | (58)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = sz00 |  ~ (sdtpldt0(v1, v0) = v2) |  ~ (smndt0(v0) = v1) |  ~ aElement0(v0))
% 26.02/8.87  | (59)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtasdt0(v0, v3) = v4) |  ~ (sdtpldt0(v1, v2) = v3) |  ~ aElement0(v2) |  ~ aElement0(v1) |  ~ aElement0(v0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (sdtasdt0(v3, v0) = v7 & sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v2) = v6 & sdtasdt0(v0, v1) = v5 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v5, v6) = v4))
% 26.02/8.88  | (60) aIdeal0(xJ)
% 26.02/8.88  | (61)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sdtasasdt0(v0, v1) = v2) |  ~ aElementOf0(v3, v2) |  ~ aSet0(v1) |  ~ aSet0(v0) | aElementOf0(v3, v0))
% 26.02/8.88  | (62)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (sdtasdt0(v0, v2) = v4) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ (sdtpldt0(v3, v4) = v5) |  ~ aElement0(v2) |  ~ aElement0(v1) |  ~ aElement0(v0) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (sdtasdt0(v6, v0) = v7 & sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v6) = v5 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v1, v2) = v6))
% 26.02/8.88  | (63)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (sdtasdt0(v0, sz10) = v1) |  ~ aElement0(v0))
% 26.02/8.88  | (64) smndt0(sz10) = all_0_8_8
% 26.02/8.88  | (65)  ! [v0] :  ! [v1] : ( ~ (sdtasdt0(all_0_8_8, v0) = v1) |  ~ aElement0(v0) | (sdtasdt0(v0, all_0_8_8) = v1 & smndt0(v0) = v1))
% 26.02/8.88  | (66)  ! [v0] :  ! [v1] : ( ~ (sdtasdt0(v0, all_0_8_8) = v1) |  ~ aElement0(v0) | (sdtasdt0(all_0_8_8, v0) = v1 & smndt0(v0) = v1))
% 26.02/8.88  | (67) sdtpldt0(xw, all_0_4_4) = all_0_3_3
% 26.02/8.88  | (68) sdtpldt0(all_0_6_6, all_0_5_5) = xw
% 26.02/8.88  | (69) aElement0(sz00)
% 26.02/8.88  | (70)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) |  ~ aElement0(v1) |  ~ aElement0(v0) | sdtpldt0(v1, v0) = v2)
% 26.02/8.88  | (71) aElementOf0(xa, xI)
% 26.02/8.88  | (72)  ! [v0] :  ! [v1] : ( ~ (sdtasdt0(sz00, v0) = v1) |  ~ aElement0(v0) | sdtasdt0(v0, sz00) = sz00)
% 26.02/8.88  | (73)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) |  ~ (smndt0(v0) = v1) |  ~ aElement0(v0) | sdtpldt0(v1, v0) = sz00)
% 26.02/8.88  | (74)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (sdtpldt0(v1, v0) = v2) |  ~ (smndt0(v0) = v1) |  ~ aElement0(v0) | sdtpldt0(v0, v1) = sz00)
% 26.02/8.88  | (75)  ! [v0] :  ! [v1] : ( ~ (smndt0(v0) = v1) |  ~ aElement0(v0) | aElement0(v1))
% 26.02/8.88  | (76)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtasdt0(v3, v0) = v4) |  ~ (sdtpldt0(v1, v2) = v3) |  ~ aElement0(v2) |  ~ aElement0(v1) |  ~ aElement0(v0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v3) = v5 & sdtasdt0(v0, v2) = v7 & sdtasdt0(v0, v1) = v6 & sdtpldt0(v8, v9) = v4 & sdtpldt0(v6, v7) = v5))
% 26.02/8.88  | (77)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtpldt0(v0, v3) = v4) |  ~ (smndt0(v1) = v3) |  ~ sdteqdtlpzmzozddtrp0(v0, v1, v2) |  ~ aIdeal0(v2) |  ~ aElement0(v1) |  ~ aElement0(v0) | aElementOf0(v4, v2))
% 26.02/8.88  | (78)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) |  ~ (sdtpldt0(v0, v1) = v3) |  ~ aElement0(v2) |  ~ aElement0(v1) |  ~ aElement0(v0) |  ? [v5] : (sdtpldt0(v1, v2) = v5 & sdtpldt0(v0, v5) = v4))
% 26.02/8.88  | (79) sdtpldt0(all_0_6_6, all_0_2_2) = all_0_3_3
% 26.02/8.88  | (80) aElement0(xx)
% 26.02/8.88  | (81)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (sdtpldt0(sz00, v0) = v1) |  ~ aElement0(v0))
% 26.02/8.88  | (82)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ aSet0(v1) |  ~ aSet0(v0) |  ? [v2] : ((aElementOf0(v2, v1) &  ~ aElementOf0(v2, v0)) | (aElementOf0(v2, v0) &  ~ aElementOf0(v2, v1))))
% 26.02/8.88  | (83)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (sdtasasdt0(v0, v1) = v2) |  ~ aElementOf0(v3, v1) |  ~ aElementOf0(v3, v0) |  ~ aSet0(v1) |  ~ aSet0(v0) | aElementOf0(v3, v2))
% 26.02/8.88  |
% 26.02/8.88  | Instantiating formula (54) with xJ and discharging atoms aIdeal0(xJ), yields:
% 26.02/8.88  | (84) aSet0(xJ)
% 26.02/8.88  |
% 26.02/8.88  | Instantiating formula (54) with xI and discharging atoms aIdeal0(xI), yields:
% 26.02/8.88  | (85) aSet0(xI)
% 26.02/8.88  |
% 26.02/8.88  | Instantiating formula (45) with all_0_5_5, xx, xb, xJ and discharging atoms sdtasdt0(xx, xb) = all_0_5_5, aIdeal0(xJ), aElementOf0(xb, xJ), aElement0(xx), yields:
% 26.02/8.88  | (86) aElementOf0(all_0_5_5, xJ)
% 26.02/8.88  |
% 26.02/8.88  | Instantiating formula (75) with all_0_4_4, xx and discharging atoms smndt0(xx) = all_0_4_4, aElement0(xx), yields:
% 26.02/8.88  | (87) aElement0(all_0_4_4)
% 26.02/8.88  |
% 26.02/8.88  | Instantiating formula (57) with all_0_4_4, xx and discharging atoms smndt0(xx) = all_0_4_4, aElement0(xx), yields:
% 26.02/8.88  | (88) sdtasdt0(all_0_8_8, xx) = all_0_4_4 & sdtasdt0(xx, all_0_8_8) = all_0_4_4
% 26.02/8.88  |
% 26.02/8.88  | Applying alpha-rule on (88) yields:
% 26.02/8.88  | (89) sdtasdt0(all_0_8_8, xx) = all_0_4_4
% 26.02/8.88  | (90) sdtasdt0(xx, all_0_8_8) = all_0_4_4
% 26.02/8.88  |
% 26.02/8.88  | Instantiating formula (41) with xx and discharging atoms aElement0(xx), yields:
% 26.02/8.88  | (91) aElementOf0(xx, all_0_7_7)
% 26.02/8.88  |
% 26.02/8.88  | Instantiating formula (75) with all_0_8_8, sz10 and discharging atoms smndt0(sz10) = all_0_8_8, aElement0(sz10), yields:
% 26.02/8.88  | (92) aElement0(all_0_8_8)
% 26.02/8.88  |
% 26.02/8.88  | Instantiating formula (57) with all_0_8_8, sz10 and discharging atoms smndt0(sz10) = all_0_8_8, aElement0(sz10), yields:
% 26.02/8.89  | (93) sdtasdt0(all_0_8_8, sz10) = all_0_8_8 & sdtasdt0(sz10, all_0_8_8) = all_0_8_8
% 26.02/8.89  |
% 26.02/8.89  | Applying alpha-rule on (93) yields:
% 26.02/8.89  | (94) sdtasdt0(all_0_8_8, sz10) = all_0_8_8
% 26.02/8.89  | (95) sdtasdt0(sz10, all_0_8_8) = all_0_8_8
% 26.02/8.89  |
% 26.02/8.89  | Instantiating formula (41) with sz10 and discharging atoms aElement0(sz10), yields:
% 26.02/8.89  | (96) aElementOf0(sz10, all_0_7_7)
% 26.02/8.89  |
% 26.02/8.89  | Instantiating formula (18) with xb, xJ and discharging atoms aElementOf0(xb, xJ), aSet0(xJ), yields:
% 26.02/8.89  | (97) aElement0(xb)
% 26.02/8.89  |
% 26.02/8.89  | Instantiating formula (18) with all_0_5_5, xJ and discharging atoms aElementOf0(all_0_5_5, xJ), aSet0(xJ), yields:
% 26.02/8.89  | (98) aElement0(all_0_5_5)
% 26.02/8.89  |
% 26.02/8.89  | Instantiating formula (30) with xx, all_0_7_7, xJ, xI and discharging atoms sdtpldt1(xI, xJ) = all_0_7_7, aElementOf0(xx, all_0_7_7), aSet0(xJ), aSet0(xI), yields:
% 26.02/8.89  | (99)  ? [v0] :  ? [v1] : (sdtpldt0(v0, v1) = xx & aElementOf0(v1, xJ) & aElementOf0(v0, xI))
% 26.02/8.89  |
% 26.02/8.89  | Instantiating formula (30) with sz10, all_0_7_7, xJ, xI and discharging atoms sdtpldt1(xI, xJ) = all_0_7_7, aElementOf0(sz10, all_0_7_7), aSet0(xJ), aSet0(xI), yields:
% 26.02/8.89  | (100)  ? [v0] :  ? [v1] : (sdtpldt0(v0, v1) = sz10 & aElementOf0(v1, xJ) & aElementOf0(v0, xI))
% 26.02/8.89  |
% 26.02/8.89  | Instantiating formula (18) with xa, xI and discharging atoms aElementOf0(xa, xI), aSet0(xI), yields:
% 26.02/8.89  | (101) aElement0(xa)
% 26.02/8.89  |
% 26.02/8.89  | Instantiating formula (14) with all_0_4_4, all_0_8_8, xx, sz10, all_0_8_8 and discharging atoms sdtasdt0(all_0_8_8, xx) = all_0_4_4, sdtasdt0(all_0_8_8, sz10) = all_0_8_8, aElement0(all_0_8_8), aElement0(xx), aElement0(sz10), yields:
% 26.02/8.89  | (102)  ? [v0] : (sdtasdt0(all_0_8_8, v0) = all_0_4_4 & sdtasdt0(sz10, xx) = v0)
% 26.02/8.89  |
% 26.02/8.89  | Instantiating formula (14) with all_0_4_4, all_0_8_8, xx, all_0_8_8, sz10 and discharging atoms sdtasdt0(all_0_8_8, xx) = all_0_4_4, sdtasdt0(sz10, all_0_8_8) = all_0_8_8, aElement0(all_0_8_8), aElement0(xx), aElement0(sz10), yields:
% 26.02/8.89  | (103)  ? [v0] : (sdtasdt0(all_0_8_8, xx) = v0 & sdtasdt0(sz10, v0) = all_0_4_4)
% 26.02/8.89  |
% 26.02/8.89  | Instantiating formula (14) with all_0_8_8, all_0_8_8, sz10, sz10, all_0_8_8 and discharging atoms sdtasdt0(all_0_8_8, sz10) = all_0_8_8, aElement0(all_0_8_8), aElement0(sz10), yields:
% 26.02/8.89  | (104)  ? [v0] : (sdtasdt0(all_0_8_8, v0) = all_0_8_8 & sdtasdt0(sz10, sz10) = v0)
% 26.02/8.89  |
% 26.02/8.89  | Instantiating formula (3) with all_0_4_4, all_0_8_8, sz10, all_0_8_8, xx and discharging atoms sdtasdt0(all_0_8_8, sz10) = all_0_8_8, sdtasdt0(xx, all_0_8_8) = all_0_4_4, aElement0(all_0_8_8), aElement0(xx), aElement0(sz10), yields:
% 26.02/8.89  | (105)  ? [v0] : (sdtasdt0(v0, sz10) = all_0_4_4 & sdtasdt0(xx, all_0_8_8) = v0)
% 26.02/8.89  |
% 26.02/8.89  | Instantiating formula (3) with all_0_4_4, all_0_8_8, all_0_8_8, sz10, xx and discharging atoms sdtasdt0(xx, all_0_8_8) = all_0_4_4, sdtasdt0(sz10, all_0_8_8) = all_0_8_8, aElement0(all_0_8_8), aElement0(xx), aElement0(sz10), yields:
% 26.02/8.89  | (106)  ? [v0] : (sdtasdt0(v0, all_0_8_8) = all_0_4_4 & sdtasdt0(xx, sz10) = v0)
% 26.02/8.89  |
% 26.02/8.89  | Instantiating formula (3) with all_0_8_8, all_0_8_8, all_0_8_8, sz10, sz10 and discharging atoms sdtasdt0(sz10, all_0_8_8) = all_0_8_8, aElement0(all_0_8_8), aElement0(sz10), yields:
% 26.02/8.89  | (107)  ? [v0] : (sdtasdt0(v0, all_0_8_8) = all_0_8_8 & sdtasdt0(sz10, sz10) = v0)
% 26.02/8.89  |
% 26.02/8.89  | Instantiating (103) with all_15_0_9 yields:
% 26.02/8.89  | (108) sdtasdt0(all_0_8_8, xx) = all_15_0_9 & sdtasdt0(sz10, all_15_0_9) = all_0_4_4
% 26.02/8.89  |
% 26.02/8.89  | Applying alpha-rule on (108) yields:
% 26.02/8.89  | (109) sdtasdt0(all_0_8_8, xx) = all_15_0_9
% 26.02/8.89  | (110) sdtasdt0(sz10, all_15_0_9) = all_0_4_4
% 26.02/8.89  |
% 26.02/8.89  | Instantiating (99) with all_17_0_10, all_17_1_11 yields:
% 26.02/8.89  | (111) sdtpldt0(all_17_1_11, all_17_0_10) = xx & aElementOf0(all_17_0_10, xJ) & aElementOf0(all_17_1_11, xI)
% 26.02/8.89  |
% 26.02/8.89  | Applying alpha-rule on (111) yields:
% 26.02/8.89  | (112) sdtpldt0(all_17_1_11, all_17_0_10) = xx
% 26.02/8.89  | (113) aElementOf0(all_17_0_10, xJ)
% 26.02/8.89  | (114) aElementOf0(all_17_1_11, xI)
% 26.02/8.89  |
% 26.02/8.89  | Instantiating (102) with all_19_0_12 yields:
% 26.02/8.89  | (115) sdtasdt0(all_0_8_8, all_19_0_12) = all_0_4_4 & sdtasdt0(sz10, xx) = all_19_0_12
% 26.02/8.89  |
% 26.02/8.89  | Applying alpha-rule on (115) yields:
% 26.02/8.89  | (116) sdtasdt0(all_0_8_8, all_19_0_12) = all_0_4_4
% 26.02/8.89  | (117) sdtasdt0(sz10, xx) = all_19_0_12
% 26.02/8.89  |
% 26.02/8.89  | Instantiating (100) with all_23_0_15, all_23_1_16 yields:
% 26.02/8.89  | (118) sdtpldt0(all_23_1_16, all_23_0_15) = sz10 & aElementOf0(all_23_0_15, xJ) & aElementOf0(all_23_1_16, xI)
% 26.02/8.89  |
% 26.02/8.89  | Applying alpha-rule on (118) yields:
% 26.02/8.89  | (119) sdtpldt0(all_23_1_16, all_23_0_15) = sz10
% 26.02/8.89  | (120) aElementOf0(all_23_0_15, xJ)
% 26.02/8.89  | (121) aElementOf0(all_23_1_16, xI)
% 26.02/8.89  |
% 26.02/8.89  | Instantiating (105) with all_27_0_19 yields:
% 26.02/8.89  | (122) sdtasdt0(all_27_0_19, sz10) = all_0_4_4 & sdtasdt0(xx, all_0_8_8) = all_27_0_19
% 26.02/8.89  |
% 26.02/8.89  | Applying alpha-rule on (122) yields:
% 26.02/8.89  | (123) sdtasdt0(all_27_0_19, sz10) = all_0_4_4
% 26.02/8.89  | (124) sdtasdt0(xx, all_0_8_8) = all_27_0_19
% 26.02/8.89  |
% 26.02/8.89  | Instantiating (104) with all_29_0_20 yields:
% 26.02/8.89  | (125) sdtasdt0(all_0_8_8, all_29_0_20) = all_0_8_8 & sdtasdt0(sz10, sz10) = all_29_0_20
% 26.02/8.89  |
% 26.02/8.89  | Applying alpha-rule on (125) yields:
% 26.02/8.89  | (126) sdtasdt0(all_0_8_8, all_29_0_20) = all_0_8_8
% 26.02/8.89  | (127) sdtasdt0(sz10, sz10) = all_29_0_20
% 26.02/8.90  |
% 26.02/8.90  | Instantiating (107) with all_31_0_21 yields:
% 26.02/8.90  | (128) sdtasdt0(all_31_0_21, all_0_8_8) = all_0_8_8 & sdtasdt0(sz10, sz10) = all_31_0_21
% 26.02/8.90  |
% 26.02/8.90  | Applying alpha-rule on (128) yields:
% 26.02/8.90  | (129) sdtasdt0(all_31_0_21, all_0_8_8) = all_0_8_8
% 26.02/8.90  | (130) sdtasdt0(sz10, sz10) = all_31_0_21
% 26.02/8.90  |
% 26.02/8.90  | Instantiating (106) with all_33_0_22 yields:
% 26.02/8.90  | (131) sdtasdt0(all_33_0_22, all_0_8_8) = all_0_4_4 & sdtasdt0(xx, sz10) = all_33_0_22
% 26.02/8.90  |
% 26.02/8.90  | Applying alpha-rule on (131) yields:
% 26.02/8.90  | (132) sdtasdt0(all_33_0_22, all_0_8_8) = all_0_4_4
% 26.02/8.90  | (133) sdtasdt0(xx, sz10) = all_33_0_22
% 26.02/8.90  |
% 26.02/8.90  | Instantiating formula (29) with all_0_8_8, xx, all_15_0_9, all_0_4_4 and discharging atoms sdtasdt0(all_0_8_8, xx) = all_15_0_9, sdtasdt0(all_0_8_8, xx) = all_0_4_4, yields:
% 26.02/8.90  | (134) all_15_0_9 = all_0_4_4
% 26.02/8.90  |
% 26.02/8.90  | Instantiating formula (29) with xx, all_0_8_8, all_27_0_19, all_0_4_4 and discharging atoms sdtasdt0(xx, all_0_8_8) = all_27_0_19, sdtasdt0(xx, all_0_8_8) = all_0_4_4, yields:
% 26.02/8.90  | (135) all_27_0_19 = all_0_4_4
% 26.02/8.90  |
% 26.02/8.90  | Instantiating formula (63) with all_33_0_22, xx and discharging atoms sdtasdt0(xx, sz10) = all_33_0_22, aElement0(xx), yields:
% 26.02/8.90  | (136) all_33_0_22 = xx
% 26.02/8.90  |
% 26.02/8.90  | Instantiating formula (34) with all_19_0_12, xx and discharging atoms sdtasdt0(sz10, xx) = all_19_0_12, aElement0(xx), yields:
% 26.02/8.90  | (137) all_19_0_12 = xx
% 26.02/8.90  |
% 26.02/8.90  | Instantiating formula (63) with all_31_0_21, sz10 and discharging atoms sdtasdt0(sz10, sz10) = all_31_0_21, aElement0(sz10), yields:
% 26.02/8.90  | (138) all_31_0_21 = sz10
% 26.02/8.90  |
% 26.02/8.90  | Instantiating formula (29) with sz10, sz10, all_29_0_20, all_31_0_21 and discharging atoms sdtasdt0(sz10, sz10) = all_31_0_21, sdtasdt0(sz10, sz10) = all_29_0_20, yields:
% 26.02/8.90  | (139) all_31_0_21 = all_29_0_20
% 26.02/8.90  |
% 26.02/8.90  | Combining equations (139,138) yields a new equation:
% 26.02/8.90  | (140) all_29_0_20 = sz10
% 26.02/8.90  |
% 26.02/8.90  | Simplifying 140 yields:
% 26.02/8.90  | (141) all_29_0_20 = sz10
% 26.02/8.90  |
% 26.02/8.90  | From (135) and (123) follows:
% 26.02/8.90  | (142) sdtasdt0(all_0_4_4, sz10) = all_0_4_4
% 26.02/8.90  |
% 26.02/8.90  | From (134) and (109) follows:
% 26.02/8.90  | (89) sdtasdt0(all_0_8_8, xx) = all_0_4_4
% 26.02/8.90  |
% 26.02/8.90  | From (135) and (124) follows:
% 26.02/8.90  | (90) sdtasdt0(xx, all_0_8_8) = all_0_4_4
% 26.02/8.90  |
% 26.02/8.90  | From (136) and (133) follows:
% 26.02/8.90  | (145) sdtasdt0(xx, sz10) = xx
% 26.02/8.90  |
% 26.02/8.90  | From (134) and (110) follows:
% 26.02/8.90  | (146) sdtasdt0(sz10, all_0_4_4) = all_0_4_4
% 26.02/8.90  |
% 26.02/8.90  | From (137) and (117) follows:
% 26.02/8.90  | (147) sdtasdt0(sz10, xx) = xx
% 26.02/8.90  |
% 26.02/8.90  | From (141) and (127) follows:
% 26.02/8.90  | (148) sdtasdt0(sz10, sz10) = sz10
% 26.02/8.90  |
% 26.02/8.90  | Instantiating formula (18) with all_23_0_15, xJ and discharging atoms aElementOf0(all_23_0_15, xJ), aSet0(xJ), yields:
% 26.02/8.90  | (149) aElement0(all_23_0_15)
% 26.02/8.90  |
% 26.02/8.90  | Instantiating formula (18) with all_23_1_16, xI and discharging atoms aElementOf0(all_23_1_16, xI), aSet0(xI), yields:
% 26.02/8.90  | (150) aElement0(all_23_1_16)
% 26.02/8.90  |
% 26.02/8.90  | Instantiating formula (18) with all_17_0_10, xJ and discharging atoms aElementOf0(all_17_0_10, xJ), aSet0(xJ), yields:
% 26.02/8.90  | (151) aElement0(all_17_0_10)
% 26.02/8.90  |
% 26.02/8.90  | Instantiating formula (18) with all_17_1_11, xI and discharging atoms aElementOf0(all_17_1_11, xI), aSet0(xI), yields:
% 26.02/8.90  | (152) aElement0(all_17_1_11)
% 26.02/8.90  |
% 26.02/8.90  | Instantiating formula (27) with all_0_2_2, all_0_5_5, all_0_4_4 and discharging atoms sdtpldt0(all_0_5_5, all_0_4_4) = all_0_2_2, aElement0(all_0_4_4), aElement0(all_0_5_5), yields:
% 26.02/8.90  | (153) sdtpldt0(all_0_4_4, all_0_5_5) = all_0_2_2
% 26.02/8.90  |
% 26.02/8.90  | Instantiating formula (59) with all_0_0_0, all_0_1_1, all_0_8_8, xb, xx and discharging atoms sdtasdt0(xx, all_0_1_1) = all_0_0_0, sdtpldt0(xb, all_0_8_8) = all_0_1_1, aElement0(all_0_8_8), aElement0(xb), aElement0(xx), yields:
% 26.02/8.91  | (154)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (sdtasdt0(all_0_1_1, xx) = v2 & sdtasdt0(all_0_8_8, xx) = v4 & sdtasdt0(xb, xx) = v3 & sdtasdt0(xx, all_0_8_8) = v1 & sdtasdt0(xx, xb) = v0 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = all_0_0_0)
% 26.02/8.91  |
% 26.02/8.91  | Instantiating formula (62) with all_0_2_2, all_0_4_4, all_0_5_5, all_0_8_8, xb, xx and discharging atoms sdtasdt0(xx, all_0_8_8) = all_0_4_4, sdtasdt0(xx, xb) = all_0_5_5, sdtpldt0(all_0_5_5, all_0_4_4) = all_0_2_2, aElement0(all_0_8_8), aElement0(xb), aElement0(xx), yields:
% 26.02/8.91  | (155)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (sdtasdt0(v0, xx) = v1 & sdtasdt0(all_0_8_8, xx) = v3 & sdtasdt0(xb, xx) = v2 & sdtasdt0(xx, v0) = all_0_2_2 & sdtpldt0(v2, v3) = v1 & sdtpldt0(xb, all_0_8_8) = v0)
% 26.02/8.91  |
% 26.02/8.91  | Instantiating formula (14) with all_0_5_5, xx, xb, sz10, xx and discharging atoms sdtasdt0(xx, xb) = all_0_5_5, sdtasdt0(xx, sz10) = xx, aElement0(xb), aElement0(xx), aElement0(sz10), yields:
% 26.02/8.91  | (156)  ? [v0] : (sdtasdt0(xx, v0) = all_0_5_5 & sdtasdt0(sz10, xb) = v0)
% 26.02/8.91  |
% 26.02/8.91  | Instantiating formula (14) with all_0_5_5, xx, xb, xx, sz10 and discharging atoms sdtasdt0(xx, xb) = all_0_5_5, sdtasdt0(sz10, xx) = xx, aElement0(xb), aElement0(xx), aElement0(sz10), yields:
% 26.02/8.91  | (157)  ? [v0] : (sdtasdt0(xx, xb) = v0 & sdtasdt0(sz10, v0) = all_0_5_5)
% 26.02/8.91  |
% 26.02/8.91  | Instantiating formula (42) with all_0_5_5, xx, xb and discharging atoms sdtasdt0(xx, xb) = all_0_5_5, aElement0(xb), aElement0(xx), yields:
% 26.02/8.91  | (158) sdtasdt0(xb, xx) = all_0_5_5
% 26.02/8.91  |
% 26.02/8.91  | Instantiating formula (59) with all_0_4_4, sz10, xb, xa, all_0_4_4 and discharging atoms sdtasdt0(all_0_4_4, sz10) = all_0_4_4, sdtpldt0(xa, xb) = sz10, aElement0(all_0_4_4), aElement0(xb), aElement0(xa), yields:
% 26.02/8.91  | (159)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (sdtasdt0(all_0_4_4, xb) = v1 & sdtasdt0(all_0_4_4, xa) = v0 & sdtasdt0(xb, all_0_4_4) = v4 & sdtasdt0(xa, all_0_4_4) = v3 & sdtasdt0(sz10, all_0_4_4) = v2 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = all_0_4_4)
% 26.02/8.91  |
% 26.02/8.91  | Instantiating formula (59) with xx, sz10, xb, xa, xx and discharging atoms sdtasdt0(xx, sz10) = xx, sdtpldt0(xa, xb) = sz10, aElement0(xb), aElement0(xa), aElement0(xx), yields:
% 26.02/8.91  | (160)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (sdtasdt0(xb, xx) = v4 & sdtasdt0(xa, xx) = v3 & sdtasdt0(xx, xb) = v1 & sdtasdt0(xx, xa) = v0 & sdtasdt0(sz10, xx) = v2 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = xx)
% 26.43/8.91  |
% 26.43/8.91  | Instantiating formula (76) with all_0_4_4, sz10, xb, xa, all_0_4_4 and discharging atoms sdtasdt0(sz10, all_0_4_4) = all_0_4_4, sdtpldt0(xa, xb) = sz10, aElement0(all_0_4_4), aElement0(xb), aElement0(xa), yields:
% 26.43/8.91  | (161)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (sdtasdt0(all_0_4_4, xb) = v2 & sdtasdt0(all_0_4_4, xa) = v1 & sdtasdt0(all_0_4_4, sz10) = v0 & sdtasdt0(xb, all_0_4_4) = v4 & sdtasdt0(xa, all_0_4_4) = v3 & sdtpldt0(v3, v4) = all_0_4_4 & sdtpldt0(v1, v2) = v0)
% 26.43/8.91  |
% 26.43/8.91  | Instantiating formula (76) with xx, sz10, xb, xa, xx and discharging atoms sdtasdt0(sz10, xx) = xx, sdtpldt0(xa, xb) = sz10, aElement0(xb), aElement0(xa), aElement0(xx), yields:
% 26.43/8.91  | (162)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (sdtasdt0(xb, xx) = v4 & sdtasdt0(xa, xx) = v3 & sdtasdt0(xx, xb) = v2 & sdtasdt0(xx, xa) = v1 & sdtasdt0(xx, sz10) = v0 & sdtpldt0(v3, v4) = xx & sdtpldt0(v1, v2) = v0)
% 26.43/8.91  |
% 26.43/8.91  | Instantiating formula (76) with sz10, sz10, xb, xa, sz10 and discharging atoms sdtasdt0(sz10, sz10) = sz10, sdtpldt0(xa, xb) = sz10, aElement0(xb), aElement0(xa), aElement0(sz10), yields:
% 26.43/8.91  | (163)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (sdtasdt0(xb, sz10) = v4 & sdtasdt0(xa, sz10) = v3 & sdtasdt0(sz10, xb) = v2 & sdtasdt0(sz10, xa) = v1 & sdtasdt0(sz10, sz10) = v0 & sdtpldt0(v3, v4) = sz10 & sdtpldt0(v1, v2) = v0)
% 26.43/8.91  |
% 26.43/8.91  | Instantiating formula (59) with sz10, sz10, xb, xa, sz10 and discharging atoms sdtasdt0(sz10, sz10) = sz10, sdtpldt0(xa, xb) = sz10, aElement0(xb), aElement0(xa), aElement0(sz10), yields:
% 26.43/8.91  | (164)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (sdtasdt0(xb, sz10) = v4 & sdtasdt0(xa, sz10) = v3 & sdtasdt0(sz10, xb) = v1 & sdtasdt0(sz10, xa) = v0 & sdtasdt0(sz10, sz10) = v2 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = sz10)
% 26.43/8.91  |
% 26.43/8.91  | Instantiating formula (27) with sz10, xa, xb and discharging atoms sdtpldt0(xa, xb) = sz10, aElement0(xb), aElement0(xa), yields:
% 26.43/8.91  | (165) sdtpldt0(xb, xa) = sz10
% 26.43/8.91  |
% 26.43/8.91  | Instantiating (164) with all_45_0_23, all_45_1_24, all_45_2_25, all_45_3_26, all_45_4_27 yields:
% 26.43/8.91  | (166) sdtasdt0(xb, sz10) = all_45_0_23 & sdtasdt0(xa, sz10) = all_45_1_24 & sdtasdt0(sz10, xb) = all_45_3_26 & sdtasdt0(sz10, xa) = all_45_4_27 & sdtasdt0(sz10, sz10) = all_45_2_25 & sdtpldt0(all_45_1_24, all_45_0_23) = all_45_2_25 & sdtpldt0(all_45_4_27, all_45_3_26) = sz10
% 26.43/8.91  |
% 26.43/8.91  | Applying alpha-rule on (166) yields:
% 26.43/8.91  | (167) sdtasdt0(sz10, sz10) = all_45_2_25
% 26.43/8.91  | (168) sdtpldt0(all_45_1_24, all_45_0_23) = all_45_2_25
% 26.43/8.91  | (169) sdtasdt0(xa, sz10) = all_45_1_24
% 26.43/8.91  | (170) sdtpldt0(all_45_4_27, all_45_3_26) = sz10
% 26.43/8.91  | (171) sdtasdt0(sz10, xb) = all_45_3_26
% 26.43/8.91  | (172) sdtasdt0(xb, sz10) = all_45_0_23
% 26.43/8.91  | (173) sdtasdt0(sz10, xa) = all_45_4_27
% 26.43/8.91  |
% 26.43/8.91  | Instantiating (163) with all_47_0_28, all_47_1_29, all_47_2_30, all_47_3_31, all_47_4_32 yields:
% 26.43/8.91  | (174) sdtasdt0(xb, sz10) = all_47_0_28 & sdtasdt0(xa, sz10) = all_47_1_29 & sdtasdt0(sz10, xb) = all_47_2_30 & sdtasdt0(sz10, xa) = all_47_3_31 & sdtasdt0(sz10, sz10) = all_47_4_32 & sdtpldt0(all_47_1_29, all_47_0_28) = sz10 & sdtpldt0(all_47_3_31, all_47_2_30) = all_47_4_32
% 26.43/8.91  |
% 26.43/8.91  | Applying alpha-rule on (174) yields:
% 26.43/8.91  | (175) sdtasdt0(sz10, xa) = all_47_3_31
% 26.43/8.91  | (176) sdtpldt0(all_47_1_29, all_47_0_28) = sz10
% 26.43/8.91  | (177) sdtasdt0(sz10, xb) = all_47_2_30
% 26.43/8.91  | (178) sdtasdt0(xb, sz10) = all_47_0_28
% 26.43/8.91  | (179) sdtasdt0(sz10, sz10) = all_47_4_32
% 26.43/8.91  | (180) sdtpldt0(all_47_3_31, all_47_2_30) = all_47_4_32
% 26.43/8.91  | (181) sdtasdt0(xa, sz10) = all_47_1_29
% 26.43/8.91  |
% 26.43/8.91  | Instantiating (161) with all_49_0_33, all_49_1_34, all_49_2_35, all_49_3_36, all_49_4_37 yields:
% 26.43/8.91  | (182) sdtasdt0(all_0_4_4, xb) = all_49_2_35 & sdtasdt0(all_0_4_4, xa) = all_49_3_36 & sdtasdt0(all_0_4_4, sz10) = all_49_4_37 & sdtasdt0(xb, all_0_4_4) = all_49_0_33 & sdtasdt0(xa, all_0_4_4) = all_49_1_34 & sdtpldt0(all_49_1_34, all_49_0_33) = all_0_4_4 & sdtpldt0(all_49_3_36, all_49_2_35) = all_49_4_37
% 26.43/8.92  |
% 26.43/8.92  | Applying alpha-rule on (182) yields:
% 26.43/8.92  | (183) sdtasdt0(all_0_4_4, xa) = all_49_3_36
% 26.43/8.92  | (184) sdtasdt0(all_0_4_4, sz10) = all_49_4_37
% 26.43/8.92  | (185) sdtasdt0(all_0_4_4, xb) = all_49_2_35
% 26.43/8.92  | (186) sdtasdt0(xb, all_0_4_4) = all_49_0_33
% 26.43/8.92  | (187) sdtpldt0(all_49_3_36, all_49_2_35) = all_49_4_37
% 26.43/8.92  | (188) sdtasdt0(xa, all_0_4_4) = all_49_1_34
% 26.43/8.92  | (189) sdtpldt0(all_49_1_34, all_49_0_33) = all_0_4_4
% 26.43/8.92  |
% 26.43/8.92  | Instantiating (160) with all_51_0_38, all_51_1_39, all_51_2_40, all_51_3_41, all_51_4_42 yields:
% 26.43/8.92  | (190) sdtasdt0(xb, xx) = all_51_0_38 & sdtasdt0(xa, xx) = all_51_1_39 & sdtasdt0(xx, xb) = all_51_3_41 & sdtasdt0(xx, xa) = all_51_4_42 & sdtasdt0(sz10, xx) = all_51_2_40 & sdtpldt0(all_51_1_39, all_51_0_38) = all_51_2_40 & sdtpldt0(all_51_4_42, all_51_3_41) = xx
% 26.43/8.92  |
% 26.43/8.92  | Applying alpha-rule on (190) yields:
% 26.43/8.92  | (191) sdtasdt0(xa, xx) = all_51_1_39
% 26.43/8.92  | (192) sdtasdt0(xb, xx) = all_51_0_38
% 26.43/8.92  | (193) sdtpldt0(all_51_4_42, all_51_3_41) = xx
% 26.43/8.92  | (194) sdtasdt0(xx, xb) = all_51_3_41
% 26.43/8.92  | (195) sdtpldt0(all_51_1_39, all_51_0_38) = all_51_2_40
% 26.43/8.92  | (196) sdtasdt0(xx, xa) = all_51_4_42
% 26.43/8.92  | (197) sdtasdt0(sz10, xx) = all_51_2_40
% 26.43/8.92  |
% 26.43/8.92  | Instantiating (159) with all_53_0_43, all_53_1_44, all_53_2_45, all_53_3_46, all_53_4_47 yields:
% 26.43/8.92  | (198) sdtasdt0(all_0_4_4, xb) = all_53_3_46 & sdtasdt0(all_0_4_4, xa) = all_53_4_47 & sdtasdt0(xb, all_0_4_4) = all_53_0_43 & sdtasdt0(xa, all_0_4_4) = all_53_1_44 & sdtasdt0(sz10, all_0_4_4) = all_53_2_45 & sdtpldt0(all_53_1_44, all_53_0_43) = all_53_2_45 & sdtpldt0(all_53_4_47, all_53_3_46) = all_0_4_4
% 26.43/8.92  |
% 26.43/8.92  | Applying alpha-rule on (198) yields:
% 26.43/8.92  | (199) sdtpldt0(all_53_4_47, all_53_3_46) = all_0_4_4
% 26.43/8.92  | (200) sdtasdt0(xa, all_0_4_4) = all_53_1_44
% 26.43/8.92  | (201) sdtasdt0(xb, all_0_4_4) = all_53_0_43
% 26.43/8.92  | (202) sdtasdt0(sz10, all_0_4_4) = all_53_2_45
% 26.43/8.92  | (203) sdtpldt0(all_53_1_44, all_53_0_43) = all_53_2_45
% 26.43/8.92  | (204) sdtasdt0(all_0_4_4, xa) = all_53_4_47
% 26.43/8.92  | (205) sdtasdt0(all_0_4_4, xb) = all_53_3_46
% 26.43/8.92  |
% 26.43/8.92  | Instantiating (162) with all_61_0_57, all_61_1_58, all_61_2_59, all_61_3_60, all_61_4_61 yields:
% 26.43/8.92  | (206) sdtasdt0(xb, xx) = all_61_0_57 & sdtasdt0(xa, xx) = all_61_1_58 & sdtasdt0(xx, xb) = all_61_2_59 & sdtasdt0(xx, xa) = all_61_3_60 & sdtasdt0(xx, sz10) = all_61_4_61 & sdtpldt0(all_61_1_58, all_61_0_57) = xx & sdtpldt0(all_61_3_60, all_61_2_59) = all_61_4_61
% 26.43/8.92  |
% 26.43/8.92  | Applying alpha-rule on (206) yields:
% 26.43/8.92  | (207) sdtasdt0(xx, xa) = all_61_3_60
% 26.43/8.92  | (208) sdtasdt0(xa, xx) = all_61_1_58
% 26.43/8.92  | (209) sdtasdt0(xx, xb) = all_61_2_59
% 26.43/8.92  | (210) sdtasdt0(xb, xx) = all_61_0_57
% 26.43/8.92  | (211) sdtasdt0(xx, sz10) = all_61_4_61
% 26.43/8.92  | (212) sdtpldt0(all_61_3_60, all_61_2_59) = all_61_4_61
% 26.43/8.92  | (213) sdtpldt0(all_61_1_58, all_61_0_57) = xx
% 26.43/8.92  |
% 26.43/8.92  | Instantiating (157) with all_67_0_69 yields:
% 26.43/8.92  | (214) sdtasdt0(xx, xb) = all_67_0_69 & sdtasdt0(sz10, all_67_0_69) = all_0_5_5
% 26.43/8.92  |
% 26.43/8.92  | Applying alpha-rule on (214) yields:
% 26.43/8.92  | (215) sdtasdt0(xx, xb) = all_67_0_69
% 26.43/8.92  | (216) sdtasdt0(sz10, all_67_0_69) = all_0_5_5
% 26.43/8.92  |
% 26.43/8.92  | Instantiating (155) with all_69_0_70, all_69_1_71, all_69_2_72, all_69_3_73 yields:
% 26.43/8.92  | (217) sdtasdt0(all_69_3_73, xx) = all_69_2_72 & sdtasdt0(all_0_8_8, xx) = all_69_0_70 & sdtasdt0(xb, xx) = all_69_1_71 & sdtasdt0(xx, all_69_3_73) = all_0_2_2 & sdtpldt0(all_69_1_71, all_69_0_70) = all_69_2_72 & sdtpldt0(xb, all_0_8_8) = all_69_3_73
% 26.43/8.92  |
% 26.43/8.92  | Applying alpha-rule on (217) yields:
% 26.43/8.92  | (218) sdtasdt0(all_0_8_8, xx) = all_69_0_70
% 26.43/8.92  | (219) sdtpldt0(all_69_1_71, all_69_0_70) = all_69_2_72
% 26.43/8.92  | (220) sdtasdt0(xb, xx) = all_69_1_71
% 26.43/8.92  | (221) sdtasdt0(xx, all_69_3_73) = all_0_2_2
% 26.43/8.92  | (222) sdtpldt0(xb, all_0_8_8) = all_69_3_73
% 26.43/8.92  | (223) sdtasdt0(all_69_3_73, xx) = all_69_2_72
% 26.43/8.92  |
% 26.43/8.92  | Instantiating (154) with all_71_0_74, all_71_1_75, all_71_2_76, all_71_3_77, all_71_4_78 yields:
% 26.43/8.92  | (224) sdtasdt0(all_0_1_1, xx) = all_71_2_76 & sdtasdt0(all_0_8_8, xx) = all_71_0_74 & sdtasdt0(xb, xx) = all_71_1_75 & sdtasdt0(xx, all_0_8_8) = all_71_3_77 & sdtasdt0(xx, xb) = all_71_4_78 & sdtpldt0(all_71_1_75, all_71_0_74) = all_71_2_76 & sdtpldt0(all_71_4_78, all_71_3_77) = all_0_0_0
% 26.43/8.92  |
% 26.43/8.92  | Applying alpha-rule on (224) yields:
% 26.43/8.92  | (225) sdtpldt0(all_71_1_75, all_71_0_74) = all_71_2_76
% 26.43/8.92  | (226) sdtasdt0(all_0_1_1, xx) = all_71_2_76
% 26.43/8.92  | (227) sdtasdt0(xx, all_0_8_8) = all_71_3_77
% 26.43/8.92  | (228) sdtasdt0(all_0_8_8, xx) = all_71_0_74
% 26.43/8.92  | (229) sdtpldt0(all_71_4_78, all_71_3_77) = all_0_0_0
% 26.43/8.92  | (230) sdtasdt0(xx, xb) = all_71_4_78
% 26.43/8.92  | (231) sdtasdt0(xb, xx) = all_71_1_75
% 26.43/8.92  |
% 26.43/8.92  | Instantiating (156) with all_73_0_79 yields:
% 26.43/8.92  | (232) sdtasdt0(xx, all_73_0_79) = all_0_5_5 & sdtasdt0(sz10, xb) = all_73_0_79
% 26.43/8.92  |
% 26.43/8.92  | Applying alpha-rule on (232) yields:
% 26.43/8.92  | (233) sdtasdt0(xx, all_73_0_79) = all_0_5_5
% 26.43/8.92  | (234) sdtasdt0(sz10, xb) = all_73_0_79
% 26.43/8.92  |
% 26.43/8.92  | Instantiating formula (29) with all_0_4_4, xb, all_49_2_35, all_53_3_46 and discharging atoms sdtasdt0(all_0_4_4, xb) = all_53_3_46, sdtasdt0(all_0_4_4, xb) = all_49_2_35, yields:
% 26.43/8.92  | (235) all_53_3_46 = all_49_2_35
% 26.43/8.92  |
% 26.43/8.92  | Instantiating formula (29) with all_0_4_4, xa, all_49_3_36, all_53_4_47 and discharging atoms sdtasdt0(all_0_4_4, xa) = all_53_4_47, sdtasdt0(all_0_4_4, xa) = all_49_3_36, yields:
% 26.43/8.92  | (236) all_53_4_47 = all_49_3_36
% 26.43/8.92  |
% 26.43/8.92  | Instantiating formula (63) with all_49_4_37, all_0_4_4 and discharging atoms sdtasdt0(all_0_4_4, sz10) = all_49_4_37, aElement0(all_0_4_4), yields:
% 26.43/8.92  | (237) all_49_4_37 = all_0_4_4
% 26.43/8.92  |
% 26.43/8.92  | Instantiating formula (29) with all_0_8_8, xx, all_71_0_74, all_0_4_4 and discharging atoms sdtasdt0(all_0_8_8, xx) = all_71_0_74, sdtasdt0(all_0_8_8, xx) = all_0_4_4, yields:
% 26.43/8.92  | (238) all_71_0_74 = all_0_4_4
% 26.43/8.92  |
% 26.43/8.92  | Instantiating formula (29) with all_0_8_8, xx, all_69_0_70, all_71_0_74 and discharging atoms sdtasdt0(all_0_8_8, xx) = all_71_0_74, sdtasdt0(all_0_8_8, xx) = all_69_0_70, yields:
% 26.43/8.92  | (239) all_71_0_74 = all_69_0_70
% 26.43/8.92  |
% 26.43/8.92  | Instantiating formula (29) with xb, all_0_4_4, all_49_0_33, all_53_0_43 and discharging atoms sdtasdt0(xb, all_0_4_4) = all_53_0_43, sdtasdt0(xb, all_0_4_4) = all_49_0_33, yields:
% 26.43/8.92  | (240) all_53_0_43 = all_49_0_33
% 26.43/8.92  |
% 26.43/8.92  | Instantiating formula (29) with xb, xx, all_69_1_71, all_71_1_75 and discharging atoms sdtasdt0(xb, xx) = all_71_1_75, sdtasdt0(xb, xx) = all_69_1_71, yields:
% 26.43/8.92  | (241) all_71_1_75 = all_69_1_71
% 26.43/8.92  |
% 26.43/8.92  | Instantiating formula (29) with xb, xx, all_61_0_57, all_71_1_75 and discharging atoms sdtasdt0(xb, xx) = all_71_1_75, sdtasdt0(xb, xx) = all_61_0_57, yields:
% 26.43/8.92  | (242) all_71_1_75 = all_61_0_57
% 26.43/8.92  |
% 26.43/8.92  | Instantiating formula (29) with xb, xx, all_51_0_38, all_71_1_75 and discharging atoms sdtasdt0(xb, xx) = all_71_1_75, sdtasdt0(xb, xx) = all_51_0_38, yields:
% 26.43/8.92  | (243) all_71_1_75 = all_51_0_38
% 26.43/8.92  |
% 26.43/8.92  | Instantiating formula (29) with xb, xx, all_0_5_5, all_69_1_71 and discharging atoms sdtasdt0(xb, xx) = all_69_1_71, sdtasdt0(xb, xx) = all_0_5_5, yields:
% 26.43/8.92  | (244) all_69_1_71 = all_0_5_5
% 26.43/8.93  |
% 26.43/8.93  | Instantiating formula (63) with all_47_0_28, xb and discharging atoms sdtasdt0(xb, sz10) = all_47_0_28, aElement0(xb), yields:
% 26.43/8.93  | (245) all_47_0_28 = xb
% 26.43/8.93  |
% 26.43/8.93  | Instantiating formula (29) with xb, sz10, all_45_0_23, all_47_0_28 and discharging atoms sdtasdt0(xb, sz10) = all_47_0_28, sdtasdt0(xb, sz10) = all_45_0_23, yields:
% 26.43/8.93  | (246) all_47_0_28 = all_45_0_23
% 26.43/8.93  |
% 26.43/8.93  | Instantiating formula (29) with xa, all_0_4_4, all_49_1_34, all_53_1_44 and discharging atoms sdtasdt0(xa, all_0_4_4) = all_53_1_44, sdtasdt0(xa, all_0_4_4) = all_49_1_34, yields:
% 26.43/8.93  | (247) all_53_1_44 = all_49_1_34
% 26.43/8.93  |
% 26.43/8.93  | Instantiating formula (63) with all_47_1_29, xa and discharging atoms sdtasdt0(xa, sz10) = all_47_1_29, aElement0(xa), yields:
% 26.43/8.93  | (248) all_47_1_29 = xa
% 26.43/8.93  |
% 26.43/8.93  | Instantiating formula (29) with xa, sz10, all_45_1_24, all_47_1_29 and discharging atoms sdtasdt0(xa, sz10) = all_47_1_29, sdtasdt0(xa, sz10) = all_45_1_24, yields:
% 26.43/8.93  | (249) all_47_1_29 = all_45_1_24
% 26.43/8.93  |
% 26.43/8.93  | Instantiating formula (29) with xx, all_0_8_8, all_71_3_77, all_0_4_4 and discharging atoms sdtasdt0(xx, all_0_8_8) = all_71_3_77, sdtasdt0(xx, all_0_8_8) = all_0_4_4, yields:
% 26.43/8.93  | (250) all_71_3_77 = all_0_4_4
% 26.43/8.93  |
% 26.43/8.93  | Instantiating formula (29) with xx, xb, all_67_0_69, all_0_5_5 and discharging atoms sdtasdt0(xx, xb) = all_67_0_69, sdtasdt0(xx, xb) = all_0_5_5, yields:
% 26.43/8.93  | (251) all_67_0_69 = all_0_5_5
% 26.43/8.93  |
% 26.43/8.93  | Instantiating formula (29) with xx, xb, all_67_0_69, all_71_4_78 and discharging atoms sdtasdt0(xx, xb) = all_71_4_78, sdtasdt0(xx, xb) = all_67_0_69, yields:
% 26.43/8.93  | (252) all_71_4_78 = all_67_0_69
% 26.43/8.93  |
% 26.43/8.93  | Instantiating formula (29) with xx, xb, all_61_2_59, all_67_0_69 and discharging atoms sdtasdt0(xx, xb) = all_67_0_69, sdtasdt0(xx, xb) = all_61_2_59, yields:
% 26.43/8.93  | (253) all_67_0_69 = all_61_2_59
% 26.43/8.93  |
% 26.43/8.93  | Instantiating formula (29) with xx, xb, all_51_3_41, all_71_4_78 and discharging atoms sdtasdt0(xx, xb) = all_71_4_78, sdtasdt0(xx, xb) = all_51_3_41, yields:
% 26.43/8.93  | (254) all_71_4_78 = all_51_3_41
% 26.43/8.93  |
% 26.43/8.93  | Instantiating formula (63) with all_61_4_61, xx and discharging atoms sdtasdt0(xx, sz10) = all_61_4_61, aElement0(xx), yields:
% 26.43/8.93  | (255) all_61_4_61 = xx
% 26.43/8.93  |
% 26.43/8.93  | Instantiating formula (34) with all_53_2_45, all_0_4_4 and discharging atoms sdtasdt0(sz10, all_0_4_4) = all_53_2_45, aElement0(all_0_4_4), yields:
% 26.43/8.93  | (256) all_53_2_45 = all_0_4_4
% 26.43/8.93  |
% 26.43/8.93  | Instantiating formula (34) with all_73_0_79, xb and discharging atoms sdtasdt0(sz10, xb) = all_73_0_79, aElement0(xb), yields:
% 26.43/8.93  | (257) all_73_0_79 = xb
% 26.43/8.93  |
% 26.43/8.93  | Instantiating formula (29) with sz10, xb, all_47_2_30, all_73_0_79 and discharging atoms sdtasdt0(sz10, xb) = all_73_0_79, sdtasdt0(sz10, xb) = all_47_2_30, yields:
% 26.43/8.93  | (258) all_73_0_79 = all_47_2_30
% 26.43/8.93  |
% 26.43/8.93  | Instantiating formula (29) with sz10, xb, all_45_3_26, all_73_0_79 and discharging atoms sdtasdt0(sz10, xb) = all_73_0_79, sdtasdt0(sz10, xb) = all_45_3_26, yields:
% 26.43/8.93  | (259) all_73_0_79 = all_45_3_26
% 26.43/8.93  |
% 26.43/8.93  | Instantiating formula (34) with all_47_3_31, xa and discharging atoms sdtasdt0(sz10, xa) = all_47_3_31, aElement0(xa), yields:
% 26.43/8.93  | (260) all_47_3_31 = xa
% 26.43/8.93  |
% 26.43/8.93  | Instantiating formula (29) with sz10, xa, all_45_4_27, all_47_3_31 and discharging atoms sdtasdt0(sz10, xa) = all_47_3_31, sdtasdt0(sz10, xa) = all_45_4_27, yields:
% 26.43/8.93  | (261) all_47_3_31 = all_45_4_27
% 26.43/8.93  |
% 26.43/8.93  | Instantiating formula (34) with all_51_2_40, xx and discharging atoms sdtasdt0(sz10, xx) = all_51_2_40, aElement0(xx), yields:
% 26.43/8.93  | (262) all_51_2_40 = xx
% 26.43/8.93  |
% 26.43/8.93  | Combining equations (259,258) yields a new equation:
% 26.43/8.93  | (263) all_47_2_30 = all_45_3_26
% 26.43/8.93  |
% 26.43/8.93  | Combining equations (257,258) yields a new equation:
% 26.43/8.93  | (264) all_47_2_30 = xb
% 26.43/8.93  |
% 26.43/8.93  | Combining equations (239,238) yields a new equation:
% 26.43/8.93  | (265) all_69_0_70 = all_0_4_4
% 26.43/8.93  |
% 26.43/8.93  | Simplifying 265 yields:
% 26.43/8.93  | (266) all_69_0_70 = all_0_4_4
% 26.43/8.93  |
% 26.43/8.93  | Combining equations (243,242) yields a new equation:
% 26.43/8.93  | (267) all_61_0_57 = all_51_0_38
% 26.43/8.93  |
% 26.43/8.93  | Combining equations (241,242) yields a new equation:
% 26.43/8.93  | (268) all_69_1_71 = all_61_0_57
% 26.43/8.93  |
% 26.43/8.93  | Simplifying 268 yields:
% 26.43/8.93  | (269) all_69_1_71 = all_61_0_57
% 26.43/8.93  |
% 26.43/8.93  | Combining equations (252,254) yields a new equation:
% 26.43/8.93  | (270) all_67_0_69 = all_51_3_41
% 26.43/8.93  |
% 26.43/8.93  | Simplifying 270 yields:
% 26.43/8.93  | (271) all_67_0_69 = all_51_3_41
% 26.43/8.93  |
% 26.43/8.93  | Combining equations (269,244) yields a new equation:
% 26.43/8.93  | (272) all_61_0_57 = all_0_5_5
% 26.43/8.93  |
% 26.43/8.93  | Simplifying 272 yields:
% 26.43/8.93  | (273) all_61_0_57 = all_0_5_5
% 26.43/8.93  |
% 26.43/8.93  | Combining equations (251,253) yields a new equation:
% 26.43/8.93  | (274) all_61_2_59 = all_0_5_5
% 26.43/8.93  |
% 26.43/8.93  | Combining equations (271,253) yields a new equation:
% 26.43/8.93  | (275) all_61_2_59 = all_51_3_41
% 26.43/8.93  |
% 26.43/8.93  | Combining equations (267,273) yields a new equation:
% 26.43/8.93  | (276) all_51_0_38 = all_0_5_5
% 26.43/8.93  |
% 26.43/8.93  | Simplifying 276 yields:
% 26.43/8.93  | (277) all_51_0_38 = all_0_5_5
% 26.43/8.93  |
% 26.43/8.93  | Combining equations (274,275) yields a new equation:
% 26.43/8.93  | (278) all_51_3_41 = all_0_5_5
% 26.43/8.93  |
% 26.43/8.93  | Combining equations (245,246) yields a new equation:
% 26.43/8.93  | (279) all_45_0_23 = xb
% 26.43/8.93  |
% 26.43/8.93  | Combining equations (248,249) yields a new equation:
% 26.43/8.93  | (280) all_45_1_24 = xa
% 26.43/8.93  |
% 26.43/8.93  | Combining equations (263,264) yields a new equation:
% 26.43/8.93  | (281) all_45_3_26 = xb
% 26.43/8.93  |
% 26.43/8.93  | Simplifying 281 yields:
% 26.43/8.93  | (282) all_45_3_26 = xb
% 26.43/8.93  |
% 26.43/8.93  | Combining equations (260,261) yields a new equation:
% 26.43/8.93  | (283) all_45_4_27 = xa
% 26.43/8.93  |
% 26.43/8.93  | Combining equations (278,275) yields a new equation:
% 26.43/8.93  | (274) all_61_2_59 = all_0_5_5
% 26.43/8.93  |
% 26.43/8.93  | Combining equations (274,253) yields a new equation:
% 26.43/8.93  | (251) all_67_0_69 = all_0_5_5
% 26.43/8.93  |
% 26.43/8.93  | Combining equations (278,254) yields a new equation:
% 26.43/8.93  | (286) all_71_4_78 = all_0_5_5
% 26.43/8.93  |
% 26.43/8.93  | Combining equations (273,242) yields a new equation:
% 26.43/8.93  | (287) all_71_1_75 = all_0_5_5
% 26.43/8.93  |
% 26.43/8.93  | From (235) and (205) follows:
% 26.43/8.93  | (185) sdtasdt0(all_0_4_4, xb) = all_49_2_35
% 26.43/8.93  |
% 26.43/8.93  | From (236) and (204) follows:
% 26.43/8.93  | (183) sdtasdt0(all_0_4_4, xa) = all_49_3_36
% 26.43/8.93  |
% 26.43/8.93  | From (237) and (184) follows:
% 26.43/8.93  | (142) sdtasdt0(all_0_4_4, sz10) = all_0_4_4
% 26.43/8.93  |
% 26.43/8.93  | From (240) and (201) follows:
% 26.43/8.93  | (186) sdtasdt0(xb, all_0_4_4) = all_49_0_33
% 26.43/8.93  |
% 26.43/8.93  | From (277) and (192) follows:
% 26.43/8.93  | (158) sdtasdt0(xb, xx) = all_0_5_5
% 26.43/8.93  |
% 26.43/8.93  | From (279) and (172) follows:
% 26.43/8.93  | (293) sdtasdt0(xb, sz10) = xb
% 26.43/8.93  |
% 26.43/8.93  | From (247) and (200) follows:
% 26.43/8.93  | (188) sdtasdt0(xa, all_0_4_4) = all_49_1_34
% 26.43/8.93  |
% 26.43/8.93  | From (280) and (169) follows:
% 26.43/8.93  | (295) sdtasdt0(xa, sz10) = xa
% 26.43/8.93  |
% 26.43/8.93  | From (250) and (227) follows:
% 26.43/8.93  | (90) sdtasdt0(xx, all_0_8_8) = all_0_4_4
% 26.43/8.93  |
% 26.43/8.93  | From (278) and (194) follows:
% 26.43/8.93  | (46) sdtasdt0(xx, xb) = all_0_5_5
% 26.43/8.93  |
% 26.43/8.93  | From (255) and (211) follows:
% 26.43/8.93  | (145) sdtasdt0(xx, sz10) = xx
% 26.43/8.93  |
% 26.43/8.93  | From (251) and (216) follows:
% 26.43/8.93  | (299) sdtasdt0(sz10, all_0_5_5) = all_0_5_5
% 26.43/8.93  |
% 26.43/8.93  | From (256) and (202) follows:
% 26.43/8.93  | (146) sdtasdt0(sz10, all_0_4_4) = all_0_4_4
% 26.43/8.93  |
% 26.43/8.93  | From (262) and (197) follows:
% 26.43/8.93  | (147) sdtasdt0(sz10, xx) = xx
% 26.43/8.93  |
% 26.43/8.93  | From (287)(238) and (225) follows:
% 26.43/8.93  | (302) sdtpldt0(all_0_5_5, all_0_4_4) = all_71_2_76
% 26.43/8.93  |
% 26.43/8.93  | From (286)(250) and (229) follows:
% 26.43/8.93  | (303) sdtpldt0(all_0_5_5, all_0_4_4) = all_0_0_0
% 26.43/8.93  |
% 26.43/8.93  | From (244)(266) and (219) follows:
% 26.43/8.93  | (304) sdtpldt0(all_0_5_5, all_0_4_4) = all_69_2_72
% 26.43/8.93  |
% 26.43/8.93  | From (283)(282) and (170) follows:
% 26.43/8.93  | (19) sdtpldt0(xa, xb) = sz10
% 26.43/8.93  |
% 26.43/8.93  | Instantiating formula (49) with all_0_5_5, all_0_4_4, all_71_2_76, all_0_2_2 and discharging atoms sdtpldt0(all_0_5_5, all_0_4_4) = all_71_2_76, sdtpldt0(all_0_5_5, all_0_4_4) = all_0_2_2, yields:
% 26.43/8.93  | (306) all_71_2_76 = all_0_2_2
% 26.43/8.93  |
% 26.43/8.93  | Instantiating formula (49) with all_0_5_5, all_0_4_4, all_69_2_72, all_71_2_76 and discharging atoms sdtpldt0(all_0_5_5, all_0_4_4) = all_71_2_76, sdtpldt0(all_0_5_5, all_0_4_4) = all_69_2_72, yields:
% 26.43/8.93  | (307) all_71_2_76 = all_69_2_72
% 26.43/8.93  |
% 26.43/8.93  | Instantiating formula (49) with all_0_5_5, all_0_4_4, all_0_0_0, all_69_2_72 and discharging atoms sdtpldt0(all_0_5_5, all_0_4_4) = all_69_2_72, sdtpldt0(all_0_5_5, all_0_4_4) = all_0_0_0, yields:
% 26.43/8.93  | (308) all_69_2_72 = all_0_0_0
% 26.43/8.93  |
% 26.43/8.93  | Combining equations (307,306) yields a new equation:
% 26.43/8.93  | (309) all_69_2_72 = all_0_2_2
% 26.43/8.93  |
% 26.43/8.93  | Simplifying 309 yields:
% 26.43/8.93  | (310) all_69_2_72 = all_0_2_2
% 26.43/8.93  |
% 26.43/8.93  | Combining equations (308,310) yields a new equation:
% 26.43/8.93  | (311) all_0_0_0 = all_0_2_2
% 26.43/8.93  |
% 26.43/8.93  | Simplifying 311 yields:
% 26.43/8.93  | (312) all_0_0_0 = all_0_2_2
% 26.43/8.93  |
% 26.43/8.93  | From (312) and (303) follows:
% 26.43/8.93  | (26) sdtpldt0(all_0_5_5, all_0_4_4) = all_0_2_2
% 26.43/8.93  |
% 26.43/8.93  | From (312) and (28) follows:
% 26.43/8.93  | (314)  ~ aElementOf0(all_0_2_2, xI)
% 26.43/8.93  |
% 26.43/8.93  | Instantiating formula (14) with all_49_2_35, all_0_4_4, xb, all_0_4_4, sz10 and discharging atoms sdtasdt0(all_0_4_4, xb) = all_49_2_35, sdtasdt0(sz10, all_0_4_4) = all_0_4_4, aElement0(all_0_4_4), aElement0(xb), aElement0(sz10), yields:
% 26.43/8.93  | (315)  ? [v0] : (sdtasdt0(all_0_4_4, xb) = v0 & sdtasdt0(sz10, v0) = all_49_2_35)
% 26.43/8.93  |
% 26.43/8.93  | Instantiating formula (14) with all_49_3_36, all_0_4_4, xa, all_0_4_4, sz10 and discharging atoms sdtasdt0(all_0_4_4, xa) = all_49_3_36, sdtasdt0(sz10, all_0_4_4) = all_0_4_4, aElement0(all_0_4_4), aElement0(xa), aElement0(sz10), yields:
% 26.43/8.93  | (316)  ? [v0] : (sdtasdt0(all_0_4_4, xa) = v0 & sdtasdt0(sz10, v0) = all_49_3_36)
% 26.43/8.93  |
% 26.43/8.93  | Instantiating formula (45) with all_49_3_36, all_0_4_4, xa, xI and discharging atoms sdtasdt0(all_0_4_4, xa) = all_49_3_36, aIdeal0(xI), aElementOf0(xa, xI), aElement0(all_0_4_4), yields:
% 26.43/8.93  | (317) aElementOf0(all_49_3_36, xI)
% 26.43/8.93  |
% 26.43/8.93  | Instantiating formula (3) with all_49_0_33, all_0_4_4, all_0_8_8, xx, xb and discharging atoms sdtasdt0(xb, all_0_4_4) = all_49_0_33, sdtasdt0(xx, all_0_8_8) = all_0_4_4, aElement0(all_0_8_8), aElement0(xb), aElement0(xx), yields:
% 26.43/8.94  | (318)  ? [v0] : (sdtasdt0(v0, all_0_8_8) = all_49_0_33 & sdtasdt0(xb, xx) = v0)
% 26.43/8.94  |
% 26.43/8.94  | Instantiating formula (13) with all_49_0_33, all_0_4_4, xb and discharging atoms sdtasdt0(xb, all_0_4_4) = all_49_0_33, aElement0(all_0_4_4), aElement0(xb), yields:
% 26.43/8.94  | (319) sdtasdt0(all_0_4_4, xb) = all_49_0_33
% 26.43/8.94  |
% 26.43/8.94  | Instantiating formula (39) with all_49_0_33, all_0_4_4, xb and discharging atoms sdtasdt0(xb, all_0_4_4) = all_49_0_33, aElement0(all_0_4_4), aElement0(xb), yields:
% 26.43/8.94  | (320) aElement0(all_49_0_33)
% 26.43/8.94  |
% 26.43/8.94  | Instantiating formula (3) with all_0_5_5, xx, sz10, xx, xb and discharging atoms sdtasdt0(xb, xx) = all_0_5_5, sdtasdt0(xx, sz10) = xx, aElement0(xb), aElement0(xx), aElement0(sz10), yields:
% 26.43/8.94  | (321)  ? [v0] : (sdtasdt0(v0, sz10) = all_0_5_5 & sdtasdt0(xb, xx) = v0)
% 26.43/8.94  |
% 26.43/8.94  | Instantiating formula (3) with all_49_2_35, xb, sz10, xb, all_0_4_4 and discharging atoms sdtasdt0(all_0_4_4, xb) = all_49_2_35, sdtasdt0(xb, sz10) = xb, aElement0(all_0_4_4), aElement0(xb), aElement0(sz10), yields:
% 26.43/8.94  | (322)  ? [v0] : (sdtasdt0(v0, sz10) = all_49_2_35 & sdtasdt0(all_0_4_4, xb) = v0)
% 26.43/8.94  |
% 26.43/8.94  | Instantiating formula (13) with all_49_1_34, all_0_4_4, xa and discharging atoms sdtasdt0(xa, all_0_4_4) = all_49_1_34, aElement0(all_0_4_4), aElement0(xa), yields:
% 26.43/8.94  | (323) sdtasdt0(all_0_4_4, xa) = all_49_1_34
% 26.43/8.94  |
% 26.43/8.94  | Instantiating formula (39) with all_49_1_34, all_0_4_4, xa and discharging atoms sdtasdt0(xa, all_0_4_4) = all_49_1_34, aElement0(all_0_4_4), aElement0(xa), yields:
% 26.43/8.94  | (324) aElement0(all_49_1_34)
% 26.43/8.94  |
% 26.43/8.94  | Instantiating formula (3) with all_49_3_36, xa, sz10, xa, all_0_4_4 and discharging atoms sdtasdt0(all_0_4_4, xa) = all_49_3_36, sdtasdt0(xa, sz10) = xa, aElement0(all_0_4_4), aElement0(xa), aElement0(sz10), yields:
% 26.43/8.94  | (325)  ? [v0] : (sdtasdt0(v0, sz10) = all_49_3_36 & sdtasdt0(all_0_4_4, xa) = v0)
% 26.43/8.94  |
% 26.43/8.94  | Instantiating formula (62) with all_0_2_2, all_0_4_4, all_0_5_5, all_0_4_4, all_0_5_5, sz10 and discharging atoms sdtasdt0(sz10, all_0_4_4) = all_0_4_4, sdtasdt0(sz10, all_0_5_5) = all_0_5_5, sdtpldt0(all_0_5_5, all_0_4_4) = all_0_2_2, aElement0(all_0_4_4), aElement0(all_0_5_5), aElement0(sz10), yields:
% 26.43/8.94  | (326)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (sdtasdt0(v0, sz10) = v1 & sdtasdt0(all_0_4_4, sz10) = v3 & sdtasdt0(all_0_5_5, sz10) = v2 & sdtasdt0(sz10, v0) = all_0_2_2 & sdtpldt0(v2, v3) = v1 & sdtpldt0(all_0_5_5, all_0_4_4) = v0)
% 26.43/8.94  |
% 26.43/8.94  | Instantiating formula (76) with all_0_5_5, sz10, xb, xa, all_0_5_5 and discharging atoms sdtasdt0(sz10, all_0_5_5) = all_0_5_5, sdtpldt0(xa, xb) = sz10, aElement0(all_0_5_5), aElement0(xb), aElement0(xa), yields:
% 26.43/8.94  | (327)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (sdtasdt0(all_0_5_5, xb) = v2 & sdtasdt0(all_0_5_5, xa) = v1 & sdtasdt0(all_0_5_5, sz10) = v0 & sdtasdt0(xb, all_0_5_5) = v4 & sdtasdt0(xa, all_0_5_5) = v3 & sdtpldt0(v3, v4) = all_0_5_5 & sdtpldt0(v1, v2) = v0)
% 26.43/8.94  |
% 26.43/8.94  | Instantiating formula (23) with all_0_5_5, all_0_5_5 and discharging atoms sdtasdt0(sz10, all_0_5_5) = all_0_5_5, aElement0(all_0_5_5), yields:
% 26.43/8.94  | (328) sdtasdt0(all_0_5_5, sz10) = all_0_5_5
% 26.43/8.94  |
% 26.43/8.94  | Instantiating formula (62) with all_0_2_2, all_0_5_5, all_0_4_4, all_0_5_5, all_0_4_4, sz10 and discharging atoms sdtasdt0(sz10, all_0_4_4) = all_0_4_4, sdtasdt0(sz10, all_0_5_5) = all_0_5_5, sdtpldt0(all_0_4_4, all_0_5_5) = all_0_2_2, aElement0(all_0_4_4), aElement0(all_0_5_5), aElement0(sz10), yields:
% 26.43/8.94  | (329)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (sdtasdt0(v0, sz10) = v1 & sdtasdt0(all_0_4_4, sz10) = v2 & sdtasdt0(all_0_5_5, sz10) = v3 & sdtasdt0(sz10, v0) = all_0_2_2 & sdtpldt0(v2, v3) = v1 & sdtpldt0(all_0_4_4, all_0_5_5) = v0)
% 26.43/8.94  |
% 26.43/8.94  | Instantiating formula (59) with all_0_4_4, sz10, xa, xb, all_0_4_4 and discharging atoms sdtasdt0(all_0_4_4, sz10) = all_0_4_4, sdtpldt0(xb, xa) = sz10, aElement0(all_0_4_4), aElement0(xb), aElement0(xa), yields:
% 26.43/8.94  | (330)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (sdtasdt0(all_0_4_4, xb) = v0 & sdtasdt0(all_0_4_4, xa) = v1 & sdtasdt0(xb, all_0_4_4) = v3 & sdtasdt0(xa, all_0_4_4) = v4 & sdtasdt0(sz10, all_0_4_4) = v2 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = all_0_4_4)
% 26.43/8.94  |
% 26.43/8.94  | Instantiating formula (59) with xx, sz10, xa, xb, xx and discharging atoms sdtasdt0(xx, sz10) = xx, sdtpldt0(xb, xa) = sz10, aElement0(xb), aElement0(xa), aElement0(xx), yields:
% 26.43/8.94  | (331)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (sdtasdt0(xb, xx) = v3 & sdtasdt0(xa, xx) = v4 & sdtasdt0(xx, xb) = v0 & sdtasdt0(xx, xa) = v1 & sdtasdt0(sz10, xx) = v2 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = xx)
% 26.43/8.94  |
% 26.43/8.94  | Instantiating formula (76) with all_0_4_4, sz10, xa, xb, all_0_4_4 and discharging atoms sdtasdt0(sz10, all_0_4_4) = all_0_4_4, sdtpldt0(xb, xa) = sz10, aElement0(all_0_4_4), aElement0(xb), aElement0(xa), yields:
% 26.43/8.94  | (332)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (sdtasdt0(all_0_4_4, xb) = v1 & sdtasdt0(all_0_4_4, xa) = v2 & sdtasdt0(all_0_4_4, sz10) = v0 & sdtasdt0(xb, all_0_4_4) = v3 & sdtasdt0(xa, all_0_4_4) = v4 & sdtpldt0(v3, v4) = all_0_4_4 & sdtpldt0(v1, v2) = v0)
% 26.43/8.94  |
% 26.43/8.94  | Instantiating formula (76) with xx, sz10, xa, xb, xx and discharging atoms sdtasdt0(sz10, xx) = xx, sdtpldt0(xb, xa) = sz10, aElement0(xb), aElement0(xa), aElement0(xx), yields:
% 26.43/8.94  | (333)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (sdtasdt0(xb, xx) = v3 & sdtasdt0(xa, xx) = v4 & sdtasdt0(xx, xb) = v1 & sdtasdt0(xx, xa) = v2 & sdtasdt0(xx, sz10) = v0 & sdtpldt0(v3, v4) = xx & sdtpldt0(v1, v2) = v0)
% 26.43/8.94  |
% 26.43/8.94  | Instantiating formula (76) with all_0_5_5, sz10, xa, xb, all_0_5_5 and discharging atoms sdtasdt0(sz10, all_0_5_5) = all_0_5_5, sdtpldt0(xb, xa) = sz10, aElement0(all_0_5_5), aElement0(xb), aElement0(xa), yields:
% 26.43/8.94  | (334)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (sdtasdt0(all_0_5_5, xb) = v1 & sdtasdt0(all_0_5_5, xa) = v2 & sdtasdt0(all_0_5_5, sz10) = v0 & sdtasdt0(xb, all_0_5_5) = v3 & sdtasdt0(xa, all_0_5_5) = v4 & sdtpldt0(v3, v4) = all_0_5_5 & sdtpldt0(v1, v2) = v0)
% 26.43/8.94  |
% 26.43/8.94  | Instantiating formula (76) with all_0_4_4, sz10, all_23_0_15, all_23_1_16, all_0_4_4 and discharging atoms sdtasdt0(sz10, all_0_4_4) = all_0_4_4, sdtpldt0(all_23_1_16, all_23_0_15) = sz10, aElement0(all_23_0_15), aElement0(all_23_1_16), aElement0(all_0_4_4), yields:
% 26.43/8.94  | (335)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (sdtasdt0(all_23_0_15, all_0_4_4) = v4 & sdtasdt0(all_23_1_16, all_0_4_4) = v3 & sdtasdt0(all_0_4_4, all_23_0_15) = v2 & sdtasdt0(all_0_4_4, all_23_1_16) = v1 & sdtasdt0(all_0_4_4, sz10) = v0 & sdtpldt0(v3, v4) = all_0_4_4 & sdtpldt0(v1, v2) = v0)
% 26.43/8.94  |
% 26.43/8.94  | Instantiating formula (76) with all_0_5_5, sz10, all_23_0_15, all_23_1_16, all_0_5_5 and discharging atoms sdtasdt0(sz10, all_0_5_5) = all_0_5_5, sdtpldt0(all_23_1_16, all_23_0_15) = sz10, aElement0(all_23_0_15), aElement0(all_23_1_16), aElement0(all_0_5_5), yields:
% 26.43/8.94  | (336)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (sdtasdt0(all_23_0_15, all_0_5_5) = v4 & sdtasdt0(all_23_1_16, all_0_5_5) = v3 & sdtasdt0(all_0_5_5, all_23_0_15) = v2 & sdtasdt0(all_0_5_5, all_23_1_16) = v1 & sdtasdt0(all_0_5_5, sz10) = v0 & sdtpldt0(v3, v4) = all_0_5_5 & sdtpldt0(v1, v2) = v0)
% 26.43/8.94  |
% 26.43/8.94  | Instantiating formula (76) with all_0_5_5, xx, all_17_0_10, all_17_1_11, xb and discharging atoms sdtasdt0(xx, xb) = all_0_5_5, sdtpldt0(all_17_1_11, all_17_0_10) = xx, aElement0(all_17_0_10), aElement0(all_17_1_11), aElement0(xb), yields:
% 26.43/8.94  | (337)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (sdtasdt0(all_17_0_10, xb) = v4 & sdtasdt0(all_17_1_11, xb) = v3 & sdtasdt0(xb, all_17_0_10) = v2 & sdtasdt0(xb, all_17_1_11) = v1 & sdtasdt0(xb, xx) = v0 & sdtpldt0(v3, v4) = all_0_5_5 & sdtpldt0(v1, v2) = v0)
% 26.43/8.94  |
% 26.43/8.94  | Instantiating (315) with all_93_0_82 yields:
% 26.43/8.94  | (338) sdtasdt0(all_0_4_4, xb) = all_93_0_82 & sdtasdt0(sz10, all_93_0_82) = all_49_2_35
% 26.43/8.94  |
% 26.43/8.94  | Applying alpha-rule on (338) yields:
% 26.43/8.94  | (339) sdtasdt0(all_0_4_4, xb) = all_93_0_82
% 26.43/8.94  | (340) sdtasdt0(sz10, all_93_0_82) = all_49_2_35
% 26.43/8.94  |
% 26.43/8.94  | Instantiating (318) with all_101_0_89 yields:
% 26.43/8.94  | (341) sdtasdt0(all_101_0_89, all_0_8_8) = all_49_0_33 & sdtasdt0(xb, xx) = all_101_0_89
% 26.43/8.94  |
% 26.43/8.94  | Applying alpha-rule on (341) yields:
% 26.43/8.94  | (342) sdtasdt0(all_101_0_89, all_0_8_8) = all_49_0_33
% 26.43/8.94  | (343) sdtasdt0(xb, xx) = all_101_0_89
% 26.43/8.94  |
% 26.43/8.94  | Instantiating (325) with all_103_0_90 yields:
% 26.43/8.94  | (344) sdtasdt0(all_103_0_90, sz10) = all_49_3_36 & sdtasdt0(all_0_4_4, xa) = all_103_0_90
% 26.43/8.94  |
% 26.43/8.94  | Applying alpha-rule on (344) yields:
% 26.43/8.94  | (345) sdtasdt0(all_103_0_90, sz10) = all_49_3_36
% 26.43/8.94  | (346) sdtasdt0(all_0_4_4, xa) = all_103_0_90
% 26.43/8.94  |
% 26.43/8.94  | Instantiating (322) with all_113_0_95 yields:
% 26.43/8.94  | (347) sdtasdt0(all_113_0_95, sz10) = all_49_2_35 & sdtasdt0(all_0_4_4, xb) = all_113_0_95
% 26.43/8.94  |
% 26.43/8.94  | Applying alpha-rule on (347) yields:
% 26.43/8.94  | (348) sdtasdt0(all_113_0_95, sz10) = all_49_2_35
% 26.43/8.94  | (349) sdtasdt0(all_0_4_4, xb) = all_113_0_95
% 26.43/8.94  |
% 26.43/8.94  | Instantiating (321) with all_125_0_121 yields:
% 26.43/8.94  | (350) sdtasdt0(all_125_0_121, sz10) = all_0_5_5 & sdtasdt0(xb, xx) = all_125_0_121
% 26.43/8.94  |
% 26.43/8.94  | Applying alpha-rule on (350) yields:
% 26.43/8.94  | (351) sdtasdt0(all_125_0_121, sz10) = all_0_5_5
% 26.43/8.94  | (352) sdtasdt0(xb, xx) = all_125_0_121
% 26.43/8.94  |
% 26.43/8.94  | Instantiating (334) with all_135_0_134, all_135_1_135, all_135_2_136, all_135_3_137, all_135_4_138 yields:
% 26.43/8.94  | (353) sdtasdt0(all_0_5_5, xb) = all_135_3_137 & sdtasdt0(all_0_5_5, xa) = all_135_2_136 & sdtasdt0(all_0_5_5, sz10) = all_135_4_138 & sdtasdt0(xb, all_0_5_5) = all_135_1_135 & sdtasdt0(xa, all_0_5_5) = all_135_0_134 & sdtpldt0(all_135_1_135, all_135_0_134) = all_0_5_5 & sdtpldt0(all_135_3_137, all_135_2_136) = all_135_4_138
% 26.43/8.94  |
% 26.43/8.94  | Applying alpha-rule on (353) yields:
% 26.43/8.94  | (354) sdtasdt0(xb, all_0_5_5) = all_135_1_135
% 26.43/8.94  | (355) sdtasdt0(all_0_5_5, sz10) = all_135_4_138
% 26.43/8.94  | (356) sdtpldt0(all_135_3_137, all_135_2_136) = all_135_4_138
% 26.43/8.94  | (357) sdtasdt0(xa, all_0_5_5) = all_135_0_134
% 26.43/8.94  | (358) sdtpldt0(all_135_1_135, all_135_0_134) = all_0_5_5
% 26.43/8.94  | (359) sdtasdt0(all_0_5_5, xb) = all_135_3_137
% 26.43/8.94  | (360) sdtasdt0(all_0_5_5, xa) = all_135_2_136
% 26.43/8.94  |
% 26.43/8.94  | Instantiating (337) with all_173_0_188, all_173_1_189, all_173_2_190, all_173_3_191, all_173_4_192 yields:
% 26.43/8.94  | (361) sdtasdt0(all_17_0_10, xb) = all_173_0_188 & sdtasdt0(all_17_1_11, xb) = all_173_1_189 & sdtasdt0(xb, all_17_0_10) = all_173_2_190 & sdtasdt0(xb, all_17_1_11) = all_173_3_191 & sdtasdt0(xb, xx) = all_173_4_192 & sdtpldt0(all_173_1_189, all_173_0_188) = all_0_5_5 & sdtpldt0(all_173_3_191, all_173_2_190) = all_173_4_192
% 26.43/8.94  |
% 26.43/8.94  | Applying alpha-rule on (361) yields:
% 26.43/8.94  | (362) sdtasdt0(xb, xx) = all_173_4_192
% 26.43/8.94  | (363) sdtasdt0(all_17_1_11, xb) = all_173_1_189
% 26.43/8.95  | (364) sdtasdt0(all_17_0_10, xb) = all_173_0_188
% 26.43/8.95  | (365) sdtasdt0(xb, all_17_0_10) = all_173_2_190
% 26.43/8.95  | (366) sdtpldt0(all_173_1_189, all_173_0_188) = all_0_5_5
% 26.43/8.95  | (367) sdtasdt0(xb, all_17_1_11) = all_173_3_191
% 26.43/8.95  | (368) sdtpldt0(all_173_3_191, all_173_2_190) = all_173_4_192
% 26.43/8.95  |
% 26.43/8.95  | Instantiating (335) with all_199_0_238, all_199_1_239, all_199_2_240, all_199_3_241, all_199_4_242 yields:
% 26.43/8.95  | (369) sdtasdt0(all_23_0_15, all_0_4_4) = all_199_0_238 & sdtasdt0(all_23_1_16, all_0_4_4) = all_199_1_239 & sdtasdt0(all_0_4_4, all_23_0_15) = all_199_2_240 & sdtasdt0(all_0_4_4, all_23_1_16) = all_199_3_241 & sdtasdt0(all_0_4_4, sz10) = all_199_4_242 & sdtpldt0(all_199_1_239, all_199_0_238) = all_0_4_4 & sdtpldt0(all_199_3_241, all_199_2_240) = all_199_4_242
% 26.43/8.95  |
% 26.43/8.95  | Applying alpha-rule on (369) yields:
% 26.43/8.95  | (370) sdtpldt0(all_199_3_241, all_199_2_240) = all_199_4_242
% 26.43/8.95  | (371) sdtpldt0(all_199_1_239, all_199_0_238) = all_0_4_4
% 26.43/8.95  | (372) sdtasdt0(all_23_0_15, all_0_4_4) = all_199_0_238
% 26.43/8.95  | (373) sdtasdt0(all_0_4_4, sz10) = all_199_4_242
% 26.43/8.95  | (374) sdtasdt0(all_23_1_16, all_0_4_4) = all_199_1_239
% 26.43/8.95  | (375) sdtasdt0(all_0_4_4, all_23_0_15) = all_199_2_240
% 26.43/8.95  | (376) sdtasdt0(all_0_4_4, all_23_1_16) = all_199_3_241
% 26.43/8.95  |
% 26.43/8.95  | Instantiating (333) with all_221_0_274, all_221_1_275, all_221_2_276, all_221_3_277, all_221_4_278 yields:
% 26.43/8.95  | (377) sdtasdt0(xb, xx) = all_221_1_275 & sdtasdt0(xa, xx) = all_221_0_274 & sdtasdt0(xx, xb) = all_221_3_277 & sdtasdt0(xx, xa) = all_221_2_276 & sdtasdt0(xx, sz10) = all_221_4_278 & sdtpldt0(all_221_1_275, all_221_0_274) = xx & sdtpldt0(all_221_3_277, all_221_2_276) = all_221_4_278
% 26.43/8.95  |
% 26.43/8.95  | Applying alpha-rule on (377) yields:
% 26.43/8.95  | (378) sdtasdt0(xx, sz10) = all_221_4_278
% 26.43/8.95  | (379) sdtasdt0(xx, xa) = all_221_2_276
% 26.43/8.95  | (380) sdtpldt0(all_221_3_277, all_221_2_276) = all_221_4_278
% 26.43/8.95  | (381) sdtpldt0(all_221_1_275, all_221_0_274) = xx
% 26.43/8.95  | (382) sdtasdt0(xx, xb) = all_221_3_277
% 26.43/8.95  | (383) sdtasdt0(xb, xx) = all_221_1_275
% 26.43/8.95  | (384) sdtasdt0(xa, xx) = all_221_0_274
% 26.43/8.95  |
% 26.43/8.95  | Instantiating (332) with all_239_0_308, all_239_1_309, all_239_2_310, all_239_3_311, all_239_4_312 yields:
% 26.43/8.95  | (385) sdtasdt0(all_0_4_4, xb) = all_239_3_311 & sdtasdt0(all_0_4_4, xa) = all_239_2_310 & sdtasdt0(all_0_4_4, sz10) = all_239_4_312 & sdtasdt0(xb, all_0_4_4) = all_239_1_309 & sdtasdt0(xa, all_0_4_4) = all_239_0_308 & sdtpldt0(all_239_1_309, all_239_0_308) = all_0_4_4 & sdtpldt0(all_239_3_311, all_239_2_310) = all_239_4_312
% 26.43/8.95  |
% 26.43/8.95  | Applying alpha-rule on (385) yields:
% 26.43/8.95  | (386) sdtpldt0(all_239_3_311, all_239_2_310) = all_239_4_312
% 26.43/8.95  | (387) sdtasdt0(all_0_4_4, sz10) = all_239_4_312
% 26.43/8.95  | (388) sdtasdt0(all_0_4_4, xa) = all_239_2_310
% 26.43/8.95  | (389) sdtasdt0(xb, all_0_4_4) = all_239_1_309
% 26.43/8.95  | (390) sdtasdt0(xa, all_0_4_4) = all_239_0_308
% 26.43/8.95  | (391) sdtasdt0(all_0_4_4, xb) = all_239_3_311
% 26.43/8.95  | (392) sdtpldt0(all_239_1_309, all_239_0_308) = all_0_4_4
% 26.43/8.95  |
% 26.43/8.95  | Instantiating (331) with all_249_0_317, all_249_1_318, all_249_2_319, all_249_3_320, all_249_4_321 yields:
% 26.43/8.95  | (393) sdtasdt0(xb, xx) = all_249_1_318 & sdtasdt0(xa, xx) = all_249_0_317 & sdtasdt0(xx, xb) = all_249_4_321 & sdtasdt0(xx, xa) = all_249_3_320 & sdtasdt0(sz10, xx) = all_249_2_319 & sdtpldt0(all_249_1_318, all_249_0_317) = all_249_2_319 & sdtpldt0(all_249_4_321, all_249_3_320) = xx
% 26.43/8.95  |
% 26.43/8.95  | Applying alpha-rule on (393) yields:
% 26.43/8.95  | (394) sdtasdt0(sz10, xx) = all_249_2_319
% 26.43/8.95  | (395) sdtasdt0(xx, xb) = all_249_4_321
% 26.43/8.95  | (396) sdtpldt0(all_249_4_321, all_249_3_320) = xx
% 26.43/8.95  | (397) sdtasdt0(xb, xx) = all_249_1_318
% 26.43/8.95  | (398) sdtasdt0(xx, xa) = all_249_3_320
% 26.43/8.95  | (399) sdtasdt0(xa, xx) = all_249_0_317
% 26.43/8.95  | (400) sdtpldt0(all_249_1_318, all_249_0_317) = all_249_2_319
% 26.43/8.95  |
% 26.43/8.95  | Instantiating (336) with all_253_0_327, all_253_1_328, all_253_2_329, all_253_3_330, all_253_4_331 yields:
% 26.43/8.95  | (401) sdtasdt0(all_23_0_15, all_0_5_5) = all_253_0_327 & sdtasdt0(all_23_1_16, all_0_5_5) = all_253_1_328 & sdtasdt0(all_0_5_5, all_23_0_15) = all_253_2_329 & sdtasdt0(all_0_5_5, all_23_1_16) = all_253_3_330 & sdtasdt0(all_0_5_5, sz10) = all_253_4_331 & sdtpldt0(all_253_1_328, all_253_0_327) = all_0_5_5 & sdtpldt0(all_253_3_330, all_253_2_329) = all_253_4_331
% 26.43/8.95  |
% 26.43/8.95  | Applying alpha-rule on (401) yields:
% 26.43/8.95  | (402) sdtpldt0(all_253_1_328, all_253_0_327) = all_0_5_5
% 26.43/8.95  | (403) sdtasdt0(all_0_5_5, all_23_1_16) = all_253_3_330
% 26.43/8.95  | (404) sdtasdt0(all_0_5_5, all_23_0_15) = all_253_2_329
% 26.43/8.95  | (405) sdtasdt0(all_23_1_16, all_0_5_5) = all_253_1_328
% 26.43/8.95  | (406) sdtasdt0(all_0_5_5, sz10) = all_253_4_331
% 26.43/8.95  | (407) sdtpldt0(all_253_3_330, all_253_2_329) = all_253_4_331
% 26.43/8.95  | (408) sdtasdt0(all_23_0_15, all_0_5_5) = all_253_0_327
% 26.43/8.95  |
% 26.43/8.95  | Instantiating (327) with all_257_0_333, all_257_1_334, all_257_2_335, all_257_3_336, all_257_4_337 yields:
% 26.43/8.95  | (409) sdtasdt0(all_0_5_5, xb) = all_257_2_335 & sdtasdt0(all_0_5_5, xa) = all_257_3_336 & sdtasdt0(all_0_5_5, sz10) = all_257_4_337 & sdtasdt0(xb, all_0_5_5) = all_257_0_333 & sdtasdt0(xa, all_0_5_5) = all_257_1_334 & sdtpldt0(all_257_1_334, all_257_0_333) = all_0_5_5 & sdtpldt0(all_257_3_336, all_257_2_335) = all_257_4_337
% 26.43/8.95  |
% 26.43/8.95  | Applying alpha-rule on (409) yields:
% 26.43/8.95  | (410) sdtasdt0(xa, all_0_5_5) = all_257_1_334
% 26.43/8.95  | (411) sdtpldt0(all_257_1_334, all_257_0_333) = all_0_5_5
% 26.43/8.95  | (412) sdtasdt0(all_0_5_5, sz10) = all_257_4_337
% 26.43/8.95  | (413) sdtpldt0(all_257_3_336, all_257_2_335) = all_257_4_337
% 26.43/8.95  | (414) sdtasdt0(xb, all_0_5_5) = all_257_0_333
% 26.43/8.95  | (415) sdtasdt0(all_0_5_5, xb) = all_257_2_335
% 26.43/8.95  | (416) sdtasdt0(all_0_5_5, xa) = all_257_3_336
% 26.43/8.95  |
% 26.43/8.95  | Instantiating (329) with all_261_0_339, all_261_1_340, all_261_2_341, all_261_3_342 yields:
% 26.43/8.95  | (417) sdtasdt0(all_261_3_342, sz10) = all_261_2_341 & sdtasdt0(all_0_4_4, sz10) = all_261_1_340 & sdtasdt0(all_0_5_5, sz10) = all_261_0_339 & sdtasdt0(sz10, all_261_3_342) = all_0_2_2 & sdtpldt0(all_261_1_340, all_261_0_339) = all_261_2_341 & sdtpldt0(all_0_4_4, all_0_5_5) = all_261_3_342
% 26.43/8.95  |
% 26.43/8.95  | Applying alpha-rule on (417) yields:
% 26.43/8.95  | (418) sdtasdt0(all_0_4_4, sz10) = all_261_1_340
% 26.43/8.95  | (419) sdtpldt0(all_0_4_4, all_0_5_5) = all_261_3_342
% 26.43/8.95  | (420) sdtasdt0(sz10, all_261_3_342) = all_0_2_2
% 26.43/8.95  | (421) sdtasdt0(all_261_3_342, sz10) = all_261_2_341
% 26.43/8.95  | (422) sdtpldt0(all_261_1_340, all_261_0_339) = all_261_2_341
% 26.43/8.95  | (423) sdtasdt0(all_0_5_5, sz10) = all_261_0_339
% 26.43/8.95  |
% 26.43/8.95  | Instantiating (326) with all_267_0_349, all_267_1_350, all_267_2_351, all_267_3_352 yields:
% 26.43/8.95  | (424) sdtasdt0(all_267_3_352, sz10) = all_267_2_351 & sdtasdt0(all_0_4_4, sz10) = all_267_0_349 & sdtasdt0(all_0_5_5, sz10) = all_267_1_350 & sdtasdt0(sz10, all_267_3_352) = all_0_2_2 & sdtpldt0(all_267_1_350, all_267_0_349) = all_267_2_351 & sdtpldt0(all_0_5_5, all_0_4_4) = all_267_3_352
% 26.43/8.95  |
% 26.43/8.95  | Applying alpha-rule on (424) yields:
% 26.43/8.95  | (425) sdtasdt0(all_0_5_5, sz10) = all_267_1_350
% 26.43/8.95  | (426) sdtasdt0(all_0_4_4, sz10) = all_267_0_349
% 26.43/8.95  | (427) sdtasdt0(sz10, all_267_3_352) = all_0_2_2
% 26.43/8.95  | (428) sdtpldt0(all_267_1_350, all_267_0_349) = all_267_2_351
% 26.43/8.95  | (429) sdtasdt0(all_267_3_352, sz10) = all_267_2_351
% 26.43/8.95  | (430) sdtpldt0(all_0_5_5, all_0_4_4) = all_267_3_352
% 26.43/8.95  |
% 26.43/8.95  | Instantiating (330) with all_269_0_353, all_269_1_354, all_269_2_355, all_269_3_356, all_269_4_357 yields:
% 26.43/8.95  | (431) sdtasdt0(all_0_4_4, xb) = all_269_4_357 & sdtasdt0(all_0_4_4, xa) = all_269_3_356 & sdtasdt0(xb, all_0_4_4) = all_269_1_354 & sdtasdt0(xa, all_0_4_4) = all_269_0_353 & sdtasdt0(sz10, all_0_4_4) = all_269_2_355 & sdtpldt0(all_269_1_354, all_269_0_353) = all_269_2_355 & sdtpldt0(all_269_4_357, all_269_3_356) = all_0_4_4
% 26.43/8.95  |
% 26.43/8.95  | Applying alpha-rule on (431) yields:
% 26.43/8.95  | (432) sdtpldt0(all_269_4_357, all_269_3_356) = all_0_4_4
% 26.43/8.95  | (433) sdtasdt0(xb, all_0_4_4) = all_269_1_354
% 26.43/8.95  | (434) sdtasdt0(sz10, all_0_4_4) = all_269_2_355
% 26.43/8.95  | (435) sdtasdt0(xa, all_0_4_4) = all_269_0_353
% 26.43/8.95  | (436) sdtasdt0(all_0_4_4, xb) = all_269_4_357
% 26.43/8.95  | (437) sdtpldt0(all_269_1_354, all_269_0_353) = all_269_2_355
% 26.43/8.95  | (438) sdtasdt0(all_0_4_4, xa) = all_269_3_356
% 26.43/8.95  |
% 26.43/8.95  | Instantiating (316) with all_271_0_358 yields:
% 26.43/8.95  | (439) sdtasdt0(all_0_4_4, xa) = all_271_0_358 & sdtasdt0(sz10, all_271_0_358) = all_49_3_36
% 26.43/8.95  |
% 26.43/8.95  | Applying alpha-rule on (439) yields:
% 26.43/8.95  | (440) sdtasdt0(all_0_4_4, xa) = all_271_0_358
% 26.43/8.95  | (441) sdtasdt0(sz10, all_271_0_358) = all_49_3_36
% 26.43/8.95  |
% 26.43/8.95  | Instantiating formula (29) with all_0_4_4, xb, all_269_4_357, all_49_2_35 and discharging atoms sdtasdt0(all_0_4_4, xb) = all_269_4_357, sdtasdt0(all_0_4_4, xb) = all_49_2_35, yields:
% 26.43/8.95  | (442) all_269_4_357 = all_49_2_35
% 26.43/8.95  |
% 26.43/8.95  | Instantiating formula (29) with all_0_4_4, xb, all_239_3_311, all_269_4_357 and discharging atoms sdtasdt0(all_0_4_4, xb) = all_269_4_357, sdtasdt0(all_0_4_4, xb) = all_239_3_311, yields:
% 26.43/8.95  | (443) all_269_4_357 = all_239_3_311
% 26.43/8.95  |
% 26.43/8.95  | Instantiating formula (29) with all_0_4_4, xb, all_93_0_82, all_239_3_311 and discharging atoms sdtasdt0(all_0_4_4, xb) = all_239_3_311, sdtasdt0(all_0_4_4, xb) = all_93_0_82, yields:
% 26.43/8.95  | (444) all_239_3_311 = all_93_0_82
% 26.43/8.95  |
% 26.43/8.95  | Instantiating formula (29) with all_0_4_4, xb, all_93_0_82, all_113_0_95 and discharging atoms sdtasdt0(all_0_4_4, xb) = all_113_0_95, sdtasdt0(all_0_4_4, xb) = all_93_0_82, yields:
% 26.43/8.95  | (445) all_113_0_95 = all_93_0_82
% 26.43/8.95  |
% 26.43/8.95  | Instantiating formula (29) with all_0_4_4, xb, all_49_0_33, all_113_0_95 and discharging atoms sdtasdt0(all_0_4_4, xb) = all_113_0_95, sdtasdt0(all_0_4_4, xb) = all_49_0_33, yields:
% 26.43/8.95  | (446) all_113_0_95 = all_49_0_33
% 26.43/8.95  |
% 26.43/8.95  | Instantiating formula (29) with all_0_4_4, xa, all_271_0_358, all_49_3_36 and discharging atoms sdtasdt0(all_0_4_4, xa) = all_271_0_358, sdtasdt0(all_0_4_4, xa) = all_49_3_36, yields:
% 26.43/8.95  | (447) all_271_0_358 = all_49_3_36
% 26.43/8.95  |
% 26.43/8.95  | Instantiating formula (29) with all_0_4_4, xa, all_269_3_356, all_271_0_358 and discharging atoms sdtasdt0(all_0_4_4, xa) = all_271_0_358, sdtasdt0(all_0_4_4, xa) = all_269_3_356, yields:
% 26.43/8.96  | (448) all_271_0_358 = all_269_3_356
% 26.43/8.96  |
% 26.43/8.96  | Instantiating formula (29) with all_0_4_4, xa, all_103_0_90, all_269_3_356 and discharging atoms sdtasdt0(all_0_4_4, xa) = all_269_3_356, sdtasdt0(all_0_4_4, xa) = all_103_0_90, yields:
% 26.43/8.96  | (449) all_269_3_356 = all_103_0_90
% 26.43/8.96  |
% 26.43/8.96  | Instantiating formula (29) with all_0_4_4, xa, all_103_0_90, all_239_2_310 and discharging atoms sdtasdt0(all_0_4_4, xa) = all_239_2_310, sdtasdt0(all_0_4_4, xa) = all_103_0_90, yields:
% 26.43/8.96  | (450) all_239_2_310 = all_103_0_90
% 26.43/8.96  |
% 26.43/8.96  | Instantiating formula (29) with all_0_4_4, xa, all_49_1_34, all_239_2_310 and discharging atoms sdtasdt0(all_0_4_4, xa) = all_239_2_310, sdtasdt0(all_0_4_4, xa) = all_49_1_34, yields:
% 26.43/8.96  | (451) all_239_2_310 = all_49_1_34
% 26.43/8.96  |
% 26.43/8.96  | Instantiating formula (29) with all_0_4_4, sz10, all_261_1_340, all_267_0_349 and discharging atoms sdtasdt0(all_0_4_4, sz10) = all_267_0_349, sdtasdt0(all_0_4_4, sz10) = all_261_1_340, yields:
% 26.43/8.96  | (452) all_267_0_349 = all_261_1_340
% 26.43/8.96  |
% 26.43/8.96  | Instantiating formula (29) with all_0_4_4, sz10, all_239_4_312, all_261_1_340 and discharging atoms sdtasdt0(all_0_4_4, sz10) = all_261_1_340, sdtasdt0(all_0_4_4, sz10) = all_239_4_312, yields:
% 26.43/8.96  | (453) all_261_1_340 = all_239_4_312
% 26.43/8.96  |
% 26.43/8.96  | Instantiating formula (63) with all_239_4_312, all_0_4_4 and discharging atoms sdtasdt0(all_0_4_4, sz10) = all_239_4_312, aElement0(all_0_4_4), yields:
% 26.43/8.96  | (454) all_239_4_312 = all_0_4_4
% 26.43/8.96  |
% 26.43/8.96  | Instantiating formula (29) with all_0_4_4, sz10, all_199_4_242, all_267_0_349 and discharging atoms sdtasdt0(all_0_4_4, sz10) = all_267_0_349, sdtasdt0(all_0_4_4, sz10) = all_199_4_242, yields:
% 26.43/8.96  | (455) all_267_0_349 = all_199_4_242
% 26.43/8.96  |
% 26.43/8.96  | Instantiating formula (29) with all_0_5_5, sz10, all_261_0_339, all_267_1_350 and discharging atoms sdtasdt0(all_0_5_5, sz10) = all_267_1_350, sdtasdt0(all_0_5_5, sz10) = all_261_0_339, yields:
% 26.43/8.96  | (456) all_267_1_350 = all_261_0_339
% 26.43/8.96  |
% 26.43/8.96  | Instantiating formula (29) with all_0_5_5, sz10, all_257_4_337, all_267_1_350 and discharging atoms sdtasdt0(all_0_5_5, sz10) = all_267_1_350, sdtasdt0(all_0_5_5, sz10) = all_257_4_337, yields:
% 26.43/8.96  | (457) all_267_1_350 = all_257_4_337
% 26.43/8.96  |
% 26.43/8.96  | Instantiating formula (29) with all_0_5_5, sz10, all_253_4_331, all_261_0_339 and discharging atoms sdtasdt0(all_0_5_5, sz10) = all_261_0_339, sdtasdt0(all_0_5_5, sz10) = all_253_4_331, yields:
% 26.43/8.96  | (458) all_261_0_339 = all_253_4_331
% 26.43/8.96  |
% 26.43/8.96  | Instantiating formula (29) with all_0_5_5, sz10, all_135_4_138, all_261_0_339 and discharging atoms sdtasdt0(all_0_5_5, sz10) = all_261_0_339, sdtasdt0(all_0_5_5, sz10) = all_135_4_138, yields:
% 26.43/8.96  | (459) all_261_0_339 = all_135_4_138
% 26.43/8.96  |
% 26.43/8.96  | Instantiating formula (29) with all_0_5_5, sz10, all_0_5_5, all_253_4_331 and discharging atoms sdtasdt0(all_0_5_5, sz10) = all_253_4_331, sdtasdt0(all_0_5_5, sz10) = all_0_5_5, yields:
% 26.43/8.96  | (460) all_253_4_331 = all_0_5_5
% 26.43/8.96  |
% 26.43/8.96  | Instantiating formula (29) with xb, xx, all_221_1_275, all_0_5_5 and discharging atoms sdtasdt0(xb, xx) = all_221_1_275, sdtasdt0(xb, xx) = all_0_5_5, yields:
% 26.43/8.96  | (461) all_221_1_275 = all_0_5_5
% 26.43/8.96  |
% 26.43/8.96  | Instantiating formula (29) with xb, xx, all_221_1_275, all_249_1_318 and discharging atoms sdtasdt0(xb, xx) = all_249_1_318, sdtasdt0(xb, xx) = all_221_1_275, yields:
% 26.43/8.96  | (462) all_249_1_318 = all_221_1_275
% 26.43/8.96  |
% 26.43/8.96  | Instantiating formula (29) with xb, xx, all_173_4_192, all_249_1_318 and discharging atoms sdtasdt0(xb, xx) = all_249_1_318, sdtasdt0(xb, xx) = all_173_4_192, yields:
% 26.43/8.96  | (463) all_249_1_318 = all_173_4_192
% 26.43/8.96  |
% 26.43/8.96  | Instantiating formula (29) with xb, xx, all_125_0_121, all_221_1_275 and discharging atoms sdtasdt0(xb, xx) = all_221_1_275, sdtasdt0(xb, xx) = all_125_0_121, yields:
% 26.43/8.96  | (464) all_221_1_275 = all_125_0_121
% 26.43/8.96  |
% 26.43/8.96  | Instantiating formula (29) with xb, xx, all_101_0_89, all_125_0_121 and discharging atoms sdtasdt0(xb, xx) = all_125_0_121, sdtasdt0(xb, xx) = all_101_0_89, yields:
% 26.43/8.96  | (465) all_125_0_121 = all_101_0_89
% 26.43/8.96  |
% 26.43/8.96  | Instantiating formula (49) with all_0_4_4, all_0_5_5, all_261_3_342, all_0_2_2 and discharging atoms sdtpldt0(all_0_4_4, all_0_5_5) = all_261_3_342, sdtpldt0(all_0_4_4, all_0_5_5) = all_0_2_2, yields:
% 26.43/8.96  | (466) all_261_3_342 = all_0_2_2
% 26.43/8.96  |
% 26.43/8.96  | Instantiating formula (49) with all_0_5_5, all_0_4_4, all_267_3_352, all_0_2_2 and discharging atoms sdtpldt0(all_0_5_5, all_0_4_4) = all_267_3_352, sdtpldt0(all_0_5_5, all_0_4_4) = all_0_2_2, yields:
% 26.43/8.96  | (467) all_267_3_352 = all_0_2_2
% 26.43/8.96  |
% 26.43/8.96  | Combining equations (448,447) yields a new equation:
% 26.43/8.96  | (468) all_269_3_356 = all_49_3_36
% 26.43/8.96  |
% 26.43/8.96  | Simplifying 468 yields:
% 26.43/8.96  | (469) all_269_3_356 = all_49_3_36
% 26.43/8.96  |
% 26.43/8.96  | Combining equations (449,469) yields a new equation:
% 26.43/8.96  | (470) all_103_0_90 = all_49_3_36
% 26.43/8.96  |
% 26.43/8.96  | Simplifying 470 yields:
% 26.43/8.96  | (471) all_103_0_90 = all_49_3_36
% 26.43/8.96  |
% 26.43/8.96  | Combining equations (443,442) yields a new equation:
% 26.43/8.96  | (472) all_239_3_311 = all_49_2_35
% 26.43/8.96  |
% 26.43/8.96  | Simplifying 472 yields:
% 26.43/8.96  | (473) all_239_3_311 = all_49_2_35
% 26.43/8.96  |
% 26.43/8.96  | Combining equations (452,455) yields a new equation:
% 26.43/8.96  | (474) all_261_1_340 = all_199_4_242
% 26.43/8.96  |
% 26.43/8.96  | Simplifying 474 yields:
% 26.43/8.96  | (475) all_261_1_340 = all_199_4_242
% 26.43/8.96  |
% 26.43/8.96  | Combining equations (456,457) yields a new equation:
% 26.43/8.96  | (476) all_261_0_339 = all_257_4_337
% 26.43/8.96  |
% 26.43/8.96  | Simplifying 476 yields:
% 26.43/8.96  | (477) all_261_0_339 = all_257_4_337
% 26.43/8.96  |
% 26.43/8.96  | Combining equations (458,477) yields a new equation:
% 26.43/8.96  | (478) all_257_4_337 = all_253_4_331
% 26.43/8.96  |
% 26.43/8.96  | Combining equations (459,477) yields a new equation:
% 26.43/8.96  | (479) all_257_4_337 = all_135_4_138
% 26.43/8.96  |
% 26.43/8.96  | Combining equations (453,475) yields a new equation:
% 26.43/8.96  | (480) all_239_4_312 = all_199_4_242
% 26.43/8.96  |
% 26.43/8.96  | Simplifying 480 yields:
% 26.43/8.96  | (481) all_239_4_312 = all_199_4_242
% 26.43/8.96  |
% 26.43/8.96  | Combining equations (478,479) yields a new equation:
% 26.43/8.96  | (482) all_253_4_331 = all_135_4_138
% 26.43/8.96  |
% 26.43/8.96  | Simplifying 482 yields:
% 26.43/8.96  | (483) all_253_4_331 = all_135_4_138
% 26.43/8.96  |
% 26.43/8.96  | Combining equations (460,483) yields a new equation:
% 26.43/8.96  | (484) all_135_4_138 = all_0_5_5
% 26.43/8.96  |
% 26.43/8.96  | Combining equations (462,463) yields a new equation:
% 26.43/8.96  | (485) all_221_1_275 = all_173_4_192
% 26.43/8.96  |
% 26.43/8.96  | Simplifying 485 yields:
% 26.43/8.96  | (486) all_221_1_275 = all_173_4_192
% 26.43/8.96  |
% 26.43/8.96  | Combining equations (450,451) yields a new equation:
% 26.43/8.96  | (487) all_103_0_90 = all_49_1_34
% 26.43/8.96  |
% 26.43/8.96  | Simplifying 487 yields:
% 26.43/8.96  | (488) all_103_0_90 = all_49_1_34
% 26.43/8.96  |
% 26.43/8.96  | Combining equations (444,473) yields a new equation:
% 26.43/8.96  | (489) all_93_0_82 = all_49_2_35
% 26.43/8.96  |
% 26.43/8.96  | Simplifying 489 yields:
% 26.43/8.96  | (490) all_93_0_82 = all_49_2_35
% 26.43/8.96  |
% 26.43/8.96  | Combining equations (454,481) yields a new equation:
% 26.43/8.96  | (491) all_199_4_242 = all_0_4_4
% 26.43/8.96  |
% 26.43/8.96  | Combining equations (464,486) yields a new equation:
% 26.43/8.96  | (492) all_173_4_192 = all_125_0_121
% 26.43/8.96  |
% 26.43/8.96  | Combining equations (461,486) yields a new equation:
% 26.43/8.96  | (493) all_173_4_192 = all_0_5_5
% 26.43/8.96  |
% 26.43/8.96  | Combining equations (492,493) yields a new equation:
% 26.43/8.96  | (494) all_125_0_121 = all_0_5_5
% 26.43/8.96  |
% 26.43/8.96  | Simplifying 494 yields:
% 26.43/8.96  | (495) all_125_0_121 = all_0_5_5
% 26.43/8.96  |
% 26.43/8.96  | Combining equations (465,495) yields a new equation:
% 26.43/8.96  | (496) all_101_0_89 = all_0_5_5
% 26.43/8.96  |
% 26.43/8.96  | Simplifying 496 yields:
% 26.43/8.96  | (497) all_101_0_89 = all_0_5_5
% 26.43/8.96  |
% 26.43/8.96  | Combining equations (445,446) yields a new equation:
% 26.43/8.96  | (498) all_93_0_82 = all_49_0_33
% 26.43/8.96  |
% 26.43/8.96  | Simplifying 498 yields:
% 26.43/8.96  | (499) all_93_0_82 = all_49_0_33
% 26.43/8.96  |
% 26.43/8.96  | Combining equations (488,471) yields a new equation:
% 26.43/8.96  | (500) all_49_1_34 = all_49_3_36
% 26.43/8.96  |
% 26.43/8.96  | Simplifying 500 yields:
% 26.43/8.96  | (501) all_49_1_34 = all_49_3_36
% 26.43/8.96  |
% 26.43/8.96  | Combining equations (490,499) yields a new equation:
% 26.43/8.96  | (502) all_49_0_33 = all_49_2_35
% 26.43/8.96  |
% 26.43/8.96  | Combining equations (491,481) yields a new equation:
% 26.43/8.96  | (454) all_239_4_312 = all_0_4_4
% 26.43/8.96  |
% 26.43/8.96  | Combining equations (501,451) yields a new equation:
% 26.43/8.96  | (504) all_239_2_310 = all_49_3_36
% 26.43/8.96  |
% 26.43/8.96  | Combining equations (484,479) yields a new equation:
% 26.43/8.96  | (505) all_257_4_337 = all_0_5_5
% 26.43/8.96  |
% 26.43/8.96  | Combining equations (505,457) yields a new equation:
% 26.43/8.96  | (506) all_267_1_350 = all_0_5_5
% 26.43/8.96  |
% 26.43/8.96  | Combining equations (491,455) yields a new equation:
% 26.43/8.96  | (507) all_267_0_349 = all_0_4_4
% 26.43/8.96  |
% 26.43/8.96  | From (467) and (429) follows:
% 26.43/8.96  | (508) sdtasdt0(all_0_2_2, sz10) = all_267_2_351
% 26.43/8.96  |
% 26.43/8.96  | From (466) and (421) follows:
% 26.43/8.96  | (509) sdtasdt0(all_0_2_2, sz10) = all_261_2_341
% 26.43/8.96  |
% 26.43/8.96  | From (497)(502) and (342) follows:
% 26.43/8.96  | (510) sdtasdt0(all_0_5_5, all_0_8_8) = all_49_2_35
% 26.43/8.96  |
% 26.43/8.96  | From (506)(507) and (428) follows:
% 26.43/8.96  | (511) sdtpldt0(all_0_5_5, all_0_4_4) = all_267_2_351
% 26.43/8.96  |
% 26.43/8.96  | From (473)(504)(454) and (386) follows:
% 26.43/8.96  | (512) sdtpldt0(all_49_2_35, all_49_3_36) = all_0_4_4
% 26.43/8.96  |
% 26.43/8.96  | From (467) and (430) follows:
% 26.43/8.96  | (26) sdtpldt0(all_0_5_5, all_0_4_4) = all_0_2_2
% 26.43/8.96  |
% 26.43/8.96  | From (502) and (320) follows:
% 26.43/8.96  | (514) aElement0(all_49_2_35)
% 26.43/8.96  |
% 26.43/8.96  | From (501) and (324) follows:
% 26.43/8.96  | (515) aElement0(all_49_3_36)
% 26.43/8.96  |
% 26.43/8.96  | Instantiating formula (29) with all_0_2_2, sz10, all_261_2_341, all_267_2_351 and discharging atoms sdtasdt0(all_0_2_2, sz10) = all_267_2_351, sdtasdt0(all_0_2_2, sz10) = all_261_2_341, yields:
% 26.43/8.96  | (516) all_267_2_351 = all_261_2_341
% 26.43/8.96  |
% 26.43/8.96  | Instantiating formula (49) with all_0_5_5, all_0_4_4, all_267_2_351, all_0_2_2 and discharging atoms sdtpldt0(all_0_5_5, all_0_4_4) = all_267_2_351, sdtpldt0(all_0_5_5, all_0_4_4) = all_0_2_2, yields:
% 26.43/8.96  | (517) all_267_2_351 = all_0_2_2
% 26.43/8.96  |
% 26.43/8.96  | Combining equations (517,516) yields a new equation:
% 26.43/8.96  | (518) all_261_2_341 = all_0_2_2
% 26.43/8.96  |
% 26.43/8.96  | Combining equations (518,516) yields a new equation:
% 26.43/8.96  | (517) all_267_2_351 = all_0_2_2
% 26.43/8.96  |
% 26.43/8.96  | From (517) and (511) follows:
% 26.43/8.96  | (26) sdtpldt0(all_0_5_5, all_0_4_4) = all_0_2_2
% 26.43/8.96  |
% 26.43/8.96  | Instantiating formula (66) with all_49_2_35, all_0_5_5 and discharging atoms sdtasdt0(all_0_5_5, all_0_8_8) = all_49_2_35, aElement0(all_0_5_5), yields:
% 26.43/8.96  | (521) sdtasdt0(all_0_8_8, all_0_5_5) = all_49_2_35 & smndt0(all_0_5_5) = all_49_2_35
% 26.43/8.96  |
% 26.43/8.96  | Applying alpha-rule on (521) yields:
% 26.43/8.96  | (522) sdtasdt0(all_0_8_8, all_0_5_5) = all_49_2_35
% 26.43/8.96  | (523) smndt0(all_0_5_5) = all_49_2_35
% 26.43/8.96  |
% 26.43/8.96  | Instantiating formula (65) with all_49_2_35, all_0_5_5 and discharging atoms sdtasdt0(all_0_8_8, all_0_5_5) = all_49_2_35, aElement0(all_0_5_5), yields:
% 26.43/8.96  | (524) sdtasdt0(all_0_5_5, all_0_8_8) = all_49_2_35 & smndt0(all_0_5_5) = all_49_2_35
% 26.43/8.97  |
% 26.43/8.97  | Applying alpha-rule on (524) yields:
% 26.43/8.97  | (510) sdtasdt0(all_0_5_5, all_0_8_8) = all_49_2_35
% 26.43/8.97  | (523) smndt0(all_0_5_5) = all_49_2_35
% 26.43/8.97  |
% 26.43/8.97  | Instantiating formula (9) with all_0_2_2, all_0_4_4, all_49_3_36, all_49_2_35, all_0_5_5 and discharging atoms sdtpldt0(all_49_2_35, all_49_3_36) = all_0_4_4, sdtpldt0(all_0_5_5, all_0_4_4) = all_0_2_2, aElement0(all_49_2_35), aElement0(all_49_3_36), aElement0(all_0_5_5), yields:
% 26.43/8.97  | (527)  ? [v0] : (sdtpldt0(v0, all_49_3_36) = all_0_2_2 & sdtpldt0(all_0_5_5, all_49_2_35) = v0)
% 26.43/8.97  |
% 26.43/8.97  | Instantiating (527) with all_395_0_561 yields:
% 26.43/8.97  | (528) sdtpldt0(all_395_0_561, all_49_3_36) = all_0_2_2 & sdtpldt0(all_0_5_5, all_49_2_35) = all_395_0_561
% 26.43/8.97  |
% 26.43/8.97  | Applying alpha-rule on (528) yields:
% 26.43/8.97  | (529) sdtpldt0(all_395_0_561, all_49_3_36) = all_0_2_2
% 26.43/8.97  | (530) sdtpldt0(all_0_5_5, all_49_2_35) = all_395_0_561
% 26.43/8.97  |
% 26.43/8.97  | Instantiating formula (50) with all_395_0_561, all_49_2_35, all_0_5_5 and discharging atoms sdtpldt0(all_0_5_5, all_49_2_35) = all_395_0_561, smndt0(all_0_5_5) = all_49_2_35, aElement0(all_0_5_5), yields:
% 26.43/8.97  | (531) all_395_0_561 = sz00
% 26.43/8.97  |
% 26.43/8.97  | From (531) and (529) follows:
% 26.43/8.97  | (532) sdtpldt0(sz00, all_49_3_36) = all_0_2_2
% 26.43/8.97  |
% 26.43/8.97  | Instantiating formula (81) with all_0_2_2, all_49_3_36 and discharging atoms sdtpldt0(sz00, all_49_3_36) = all_0_2_2, aElement0(all_49_3_36), yields:
% 26.43/8.97  | (533) all_49_3_36 = all_0_2_2
% 26.43/8.97  |
% 26.43/8.97  | From (533) and (317) follows:
% 26.43/8.97  | (534) aElementOf0(all_0_2_2, xI)
% 26.43/8.97  |
% 26.43/8.97  | Using (534) and (314) yields:
% 26.43/8.97  | (535) $false
% 26.43/8.97  |
% 26.43/8.97  |-The branch is then unsatisfiable
% 26.43/8.97  % SZS output end Proof for theBenchmark
% 26.43/8.97  
% 26.43/8.97  8359ms
%------------------------------------------------------------------------------