TSTP Solution File: NUM516+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : NUM516+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 08:45:22 EDT 2022
% Result : Theorem 27.41s 8.03s
% Output : Proof 61.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM516+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jul 7 13:29:14 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.51/0.61 ____ _
% 0.51/0.61 ___ / __ \_____(_)___ ________ __________
% 0.51/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.51/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.51/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.51/0.61
% 0.51/0.61 A Theorem Prover for First-Order Logic
% 0.51/0.61 (ePrincess v.1.0)
% 0.51/0.61
% 0.51/0.61 (c) Philipp Rümmer, 2009-2015
% 0.51/0.61 (c) Peter Backeman, 2014-2015
% 0.51/0.61 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.51/0.61 Free software under GNU Lesser General Public License (LGPL).
% 0.51/0.61 Bug reports to peter@backeman.se
% 0.51/0.61
% 0.51/0.61 For more information, visit http://user.uu.se/~petba168/breu/
% 0.51/0.61
% 0.51/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.72/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.97/1.05 Prover 0: Preprocessing ...
% 3.89/1.58 Prover 0: Constructing countermodel ...
% 19.16/5.95 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 19.51/6.04 Prover 1: Preprocessing ...
% 20.27/6.19 Prover 1: Constructing countermodel ...
% 27.41/8.02 Prover 1: proved (2074ms)
% 27.41/8.03 Prover 0: stopped
% 27.41/8.03
% 27.41/8.03 No countermodel exists, formula is valid
% 27.41/8.03 % SZS status Theorem for theBenchmark
% 27.41/8.03
% 27.41/8.03 Generating proof ... found it (size 1033)
% 60.10/26.29
% 60.10/26.29 % SZS output start Proof for theBenchmark
% 60.10/26.29 Assumed formulas after preprocessing and simplification:
% 60.10/26.29 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ( ~ (v6 = xn) & ~ (v4 = 0) & ~ (v3 = 0) & ~ (xk = xp) & ~ (xk = sz10) & ~ (xk = sz00) & ~ (xp = xm) & ~ (xp = xn) & ~ (sz10 = sz00) & isPrime0(xr) = 0 & isPrime0(xp) = 0 & sdtsldt0(v2, xp) = xk & sdtsldt0(xn, xr) = v6 & doDivides0(xr, v2) = 0 & doDivides0(xr, xk) = 0 & doDivides0(xr, xm) = v5 & doDivides0(xr, xn) = 0 & doDivides0(xp, v7) = 0 & doDivides0(xp, v2) = 0 & sdtlseqdt0(v9, v1) = v10 & sdtlseqdt0(v6, xn) = 0 & sdtlseqdt0(xr, xk) = 0 & sdtlseqdt0(xk, xp) = 0 & sdtlseqdt0(xp, xm) = v4 & sdtlseqdt0(xp, xn) = v3 & sdtlseqdt0(xm, xp) = 0 & sdtlseqdt0(xn, xp) = 0 & sdtasdt0(v6, xm) = v7 & sdtasdt0(xn, xm) = v2 & sdtpldt0(v8, xp) = v9 & sdtpldt0(v6, xm) = v8 & sdtpldt0(v0, xp) = v1 & sdtpldt0(xn, xm) = v0 & aNaturalNumber0(xr) = 0 & aNaturalNumber0(xp) = 0 & aNaturalNumber0(xm) = 0 & aNaturalNumber0(xn) = 0 & aNaturalNumber0(sz10) = 0 & aNaturalNumber0(sz00) = 0 & ~ (isPrime0(sz10) = 0) & ~ (isPrime0(sz00) = 0) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v13 = v12 | v11 = sz00 | ~ (sdtlseqdt0(v14, v15) = v16) | ~ (sdtasdt0(v11, v13) = v15) | ~ (sdtasdt0(v11, v12) = v14) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (sdtlseqdt0(v21, v22) = v23 & sdtlseqdt0(v12, v13) = v20 & sdtasdt0(v13, v11) = v22 & sdtasdt0(v12, v11) = v21 & aNaturalNumber0(v13) = v19 & aNaturalNumber0(v12) = v18 & aNaturalNumber0(v11) = v17 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | (v23 = 0 & v16 = 0 & ~ (v22 = v21) & ~ (v15 = v14))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v12 = v11 | ~ (sdtlseqdt0(v14, v15) = v16) | ~ (sdtlseqdt0(v11, v12) = 0) | ~ (sdtpldt0(v12, v13) = v15) | ~ (sdtpldt0(v11, v13) = v14) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ((sdtlseqdt0(v18, v19) = v20 & sdtpldt0(v13, v12) = v19 & sdtpldt0(v13, v11) = v18 & aNaturalNumber0(v13) = v17 & ( ~ (v17 = 0) | (v20 = 0 & v16 = 0 & ~ (v19 = v18) & ~ (v15 = v14)))) | (aNaturalNumber0(v12) = v18 & aNaturalNumber0(v11) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v11 = sz00 | ~ (sdtsldt0(v15, v11) = v16) | ~ (sdtsldt0(v12, v11) = v13) | ~ (sdtasdt0(v14, v12) = v15) | ? [v17] : ? [v18] : ? [v19] : ((doDivides0(v11, v12) = v19 & aNaturalNumber0(v12) = v18 & aNaturalNumber0(v11) = v17 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0))) | (sdtasdt0(v14, v13) = v18 & aNaturalNumber0(v14) = v17 & ( ~ (v17 = 0) | v18 = v16)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (sdtasdt0(v11, v13) = v15) | ~ (sdtasdt0(v11, v12) = v14) | ~ (sdtpldt0(v14, v15) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (sdtasdt0(v20, v11) = v22 & sdtasdt0(v13, v11) = v24 & sdtasdt0(v12, v11) = v23 & sdtasdt0(v11, v20) = v21 & sdtpldt0(v23, v24) = v25 & sdtpldt0(v12, v13) = v20 & aNaturalNumber0(v13) = v19 & aNaturalNumber0(v12) = v18 & aNaturalNumber0(v11) = v17 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | (v25 = v22 & v21 = v16)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (doDivides0(v11, v14) = v15) | ~ (sdtpldt0(v12, v13) = v14) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (doDivides0(v11, v13) = v20 & doDivides0(v11, v12) = v19 & aNaturalNumber0(v13) = v18 & aNaturalNumber0(v12) = v17 & aNaturalNumber0(v11) = v16 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | v11 = sz00 | ~ (sdtasdt0(v11, v13) = v15) | ~ (sdtasdt0(v11, v12) = v14) | ~ (aNaturalNumber0(v11) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : (sdtasdt0(v13, v11) = v19 & sdtasdt0(v12, v11) = v18 & aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0) | ( ~ (v19 = v18) & ~ (v15 = v14))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (sdtpldt0(v11, v13) = v15) | ~ (sdtpldt0(v11, v12) = v14) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (sdtpldt0(v13, v11) = v20 & sdtpldt0(v12, v11) = v19 & aNaturalNumber0(v13) = v18 & aNaturalNumber0(v12) = v17 & aNaturalNumber0(v11) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ( ~ (v20 = v19) & ~ (v15 = v14))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (sdtasdt0(v14, v13) = v15) | ~ (sdtasdt0(v11, v12) = v14) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (sdtasdt0(v12, v13) = v19 & sdtasdt0(v11, v19) = v20 & aNaturalNumber0(v13) = v18 & aNaturalNumber0(v12) = v17 & aNaturalNumber0(v11) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v20 = v15))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (sdtpldt0(v14, v13) = v15) | ~ (sdtpldt0(v11, v12) = v14) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (sdtpldt0(v12, v13) = v19 & sdtpldt0(v11, v19) = v20 & aNaturalNumber0(v13) = v18 & aNaturalNumber0(v12) = v17 & aNaturalNumber0(v11) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v20 = v15))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | v11 = sz00 | ~ (sdtsldt0(v12, v11) = v13) | ~ (sdtasdt0(v11, v14) = v12) | ? [v15] : ? [v16] : ? [v17] : (( ~ (v15 = 0) & aNaturalNumber0(v14) = v15) | (doDivides0(v11, v12) = v17 & aNaturalNumber0(v12) = v16 & aNaturalNumber0(v11) = v15 & ( ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | ~ (sdtmndt0(v12, v11) = v13) | ~ (sdtpldt0(v11, v14) = v12) | ? [v15] : ? [v16] : ? [v17] : (( ~ (v15 = 0) & aNaturalNumber0(v14) = v15) | (sdtlseqdt0(v11, v12) = v17 & aNaturalNumber0(v12) = v16 & aNaturalNumber0(v11) = v15 & ( ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v12 | v11 = sz00 | ~ (sdtsldt0(v12, v11) = v13) | ~ (sdtasdt0(v11, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : (doDivides0(v11, v12) = v17 & aNaturalNumber0(v12) = v16 & aNaturalNumber0(v11) = v15 & ( ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v12 | ~ (sdtmndt0(v12, v11) = v13) | ~ (sdtpldt0(v11, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : (sdtlseqdt0(v11, v12) = v17 & aNaturalNumber0(v12) = v16 & aNaturalNumber0(v11) = v15 & ( ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | v11 = sz00 | ~ (sdtlseqdt0(v12, v13) = v14) | ~ (sdtasdt0(v12, v11) = v13) | ? [v15] : ? [v16] : (aNaturalNumber0(v12) = v16 & aNaturalNumber0(v11) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (doDivides0(v11, v13) = v14) | ~ (doDivides0(v11, v12) = 0) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (doDivides0(v12, v13) = v18 & aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & aNaturalNumber0(v11) = v15 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (sdtlseqdt0(v11, v13) = v14) | ~ (sdtlseqdt0(v11, v12) = 0) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (sdtlseqdt0(v12, v13) = v18 & aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & aNaturalNumber0(v11) = v15 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v13 = 0 | ~ (doDivides0(v11, v12) = v13) | ~ (sdtasdt0(v11, v14) = v12) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & aNaturalNumber0(v14) = v15) | (aNaturalNumber0(v12) = v16 & aNaturalNumber0(v11) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v13 = 0 | ~ (sdtlseqdt0(v11, v12) = v13) | ~ (sdtpldt0(v11, v14) = v12) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & aNaturalNumber0(v14) = v15) | (aNaturalNumber0(v12) = v16 & aNaturalNumber0(v11) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (sdtsldt0(v14, v13) = v12) | ~ (sdtsldt0(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (doDivides0(v14, v13) = v12) | ~ (doDivides0(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (iLess0(v14, v13) = v12) | ~ (iLess0(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (sdtmndt0(v14, v13) = v12) | ~ (sdtmndt0(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (sdtlseqdt0(v14, v13) = v12) | ~ (sdtlseqdt0(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (sdtasdt0(v14, v13) = v12) | ~ (sdtasdt0(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (sdtpldt0(v14, v13) = v12) | ~ (sdtpldt0(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = sz00 | ~ (sdtsldt0(v12, v11) = v13) | ~ (sdtasdt0(v11, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ((v15 = 0 & aNaturalNumber0(v13) = 0) | (doDivides0(v11, v12) = v17 & aNaturalNumber0(v12) = v16 & aNaturalNumber0(v11) = v15 & ( ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (doDivides0(v13, v14) = 0) | ~ (sdtasdt0(v11, v12) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (isPrime0(v13) = v18 & doDivides0(v13, v12) = v23 & doDivides0(v13, v11) = v22 & iLess0(v20, v1) = v21 & sdtpldt0(v19, v13) = v20 & sdtpldt0(v11, v12) = v19 & aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & aNaturalNumber0(v11) = v15 & ( ~ (v21 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | v23 = 0 | v22 = 0))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (doDivides0(v11, v14) = 0) | ~ (sdtpldt0(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : (doDivides0(v11, v13) = v19 & doDivides0(v11, v12) = v18 & aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & aNaturalNumber0(v11) = v15 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | v19 = 0))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (sdtmndt0(v12, v11) = v13) | ~ (sdtpldt0(v11, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ((v15 = 0 & aNaturalNumber0(v13) = 0) | (sdtlseqdt0(v11, v12) = v17 & aNaturalNumber0(v12) = v16 & aNaturalNumber0(v11) = v15 & ( ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0))))) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | v12 = v11 | ~ (iLess0(v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : (sdtlseqdt0(v11, v12) = v16 & aNaturalNumber0(v12) = v15 & aNaturalNumber0(v11) = v14 & ( ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (sdtlseqdt0(v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : (sdtlseqdt0(v12, v11) = v16 & aNaturalNumber0(v12) = v15 & aNaturalNumber0(v11) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0) | (v16 = 0 & ~ (v12 = v11))))) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (isPrime0(v13) = v12) | ~ (isPrime0(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (aNaturalNumber0(v13) = v12) | ~ (aNaturalNumber0(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (sdtasdt0(v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : (sdtasdt0(v12, v11) = v16 & aNaturalNumber0(v12) = v15 & aNaturalNumber0(v11) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0) | v16 = v13))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (sdtasdt0(v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : (aNaturalNumber0(v13) = v16 & aNaturalNumber0(v12) = v15 & aNaturalNumber0(v11) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0) | v16 = 0))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (sdtpldt0(v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : (sdtpldt0(v12, v11) = v16 & aNaturalNumber0(v12) = v15 & aNaturalNumber0(v11) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0) | v16 = v13))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (sdtpldt0(v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : (aNaturalNumber0(v13) = v16 & aNaturalNumber0(v12) = v15 & aNaturalNumber0(v11) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0) | v16 = 0))) & ! [v11] : ! [v12] : (v12 = v11 | v12 = sz10 | ~ (isPrime0(v11) = 0) | ~ (doDivides0(v12, v11) = 0) | ? [v13] : (( ~ (v13 = 0) & aNaturalNumber0(v12) = v13) | ( ~ (v13 = 0) & aNaturalNumber0(v11) = v13))) & ! [v11] : ! [v12] : (v12 = v11 | ~ (sdtlseqdt0(v11, v12) = 0) | ? [v13] : ? [v14] : ? [v15] : (sdtlseqdt0(v12, v11) = v15 & aNaturalNumber0(v12) = v14 & aNaturalNumber0(v11) = v13 & ( ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v11] : ! [v12] : (v12 = sz00 | v11 = sz00 | ~ (sdtasdt0(v11, v12) = sz00) | ? [v13] : ? [v14] : (aNaturalNumber0(v12) = v14 & aNaturalNumber0(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v11] : ! [v12] : (v12 = sz00 | ~ (doDivides0(v11, v12) = 0) | ? [v13] : ? [v14] : ? [v15] : (sdtlseqdt0(v11, v12) = v15 & aNaturalNumber0(v12) = v14 & aNaturalNumber0(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0) | v15 = 0))) & ! [v11] : ! [v12] : (v12 = sz00 | ~ (sdtpldt0(v11, v12) = sz00) | ? [v13] : ? [v14] : (aNaturalNumber0(v12) = v14 & aNaturalNumber0(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v11] : ! [v12] : (v12 = 0 | v11 = sz10 | v11 = sz00 | ~ (isPrime0(v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ((v15 = 0 & v14 = 0 & ~ (v13 = v11) & ~ (v13 = sz10) & doDivides0(v13, v11) = 0 & aNaturalNumber0(v13) = 0) | ( ~ (v13 = 0) & aNaturalNumber0(v11) = v13))) & ! [v11] : ! [v12] : (v12 = 0 | v11 = sz10 | v11 = sz00 | ~ (sdtlseqdt0(sz10, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & aNaturalNumber0(v11) = v13)) & ! [v11] : ! [v12] : (v12 = 0 | ~ (sdtlseqdt0(v11, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & aNaturalNumber0(v11) = v13)) & ! [v11] : ! [v12] : (v11 = sz00 | ~ (sdtpldt0(v11, v12) = sz00) | ? [v13] : ? [v14] : (aNaturalNumber0(v12) = v14 & aNaturalNumber0(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v11] : ! [v12] : ( ~ (doDivides0(v11, v12) = 0) | ? [v13] : ? [v14] : ? [v15] : ((v15 = v12 & v14 = 0 & sdtasdt0(v11, v13) = v12 & aNaturalNumber0(v13) = 0) | (aNaturalNumber0(v12) = v14 & aNaturalNumber0(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v11] : ! [v12] : ( ~ (sdtlseqdt0(v11, v12) = 0) | ? [v13] : ? [v14] : ? [v15] : ((v15 = v12 & v14 = 0 & sdtpldt0(v11, v13) = v12 & aNaturalNumber0(v13) = 0) | (aNaturalNumber0(v12) = v14 & aNaturalNumber0(v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v11] : ! [v12] : ( ~ (sdtasdt0(sz10, v11) = v12) | ? [v13] : ? [v14] : (sdtasdt0(v11, sz10) = v14 & aNaturalNumber0(v11) = v13 & ( ~ (v13 = 0) | (v14 = v11 & v12 = v11)))) & ! [v11] : ! [v12] : ( ~ (sdtasdt0(sz00, v11) = v12) | ? [v13] : ? [v14] : (sdtasdt0(v11, sz00) = v14 & aNaturalNumber0(v11) = v13 & ( ~ (v13 = 0) | (v14 = sz00 & v12 = sz00)))) & ! [v11] : ! [v12] : ( ~ (sdtpldt0(sz00, v11) = v12) | ? [v13] : ? [v14] : (sdtpldt0(v11, sz00) = v14 & aNaturalNumber0(v11) = v13 & ( ~ (v13 = 0) | (v14 = v11 & v12 = v11)))) & ! [v11] : (v11 = sz10 | v11 = sz00 | ~ (aNaturalNumber0(v11) = 0) | ? [v12] : (isPrime0(v12) = 0 & doDivides0(v12, v11) = 0 & aNaturalNumber0(v12) = 0)) & ( ~ (v10 = 0) | v9 = v1))
% 60.27/26.36 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10 yields:
% 60.27/26.36 | (1) ~ (all_0_4_4 = xn) & ~ (all_0_6_6 = 0) & ~ (all_0_7_7 = 0) & ~ (xk = xp) & ~ (xk = sz10) & ~ (xk = sz00) & ~ (xp = xm) & ~ (xp = xn) & ~ (sz10 = sz00) & isPrime0(xr) = 0 & isPrime0(xp) = 0 & sdtsldt0(all_0_8_8, xp) = xk & sdtsldt0(xn, xr) = all_0_4_4 & doDivides0(xr, all_0_8_8) = 0 & doDivides0(xr, xk) = 0 & doDivides0(xr, xm) = all_0_5_5 & doDivides0(xr, xn) = 0 & doDivides0(xp, all_0_3_3) = 0 & doDivides0(xp, all_0_8_8) = 0 & sdtlseqdt0(all_0_1_1, all_0_9_9) = all_0_0_0 & sdtlseqdt0(all_0_4_4, xn) = 0 & sdtlseqdt0(xr, xk) = 0 & sdtlseqdt0(xk, xp) = 0 & sdtlseqdt0(xp, xm) = all_0_6_6 & sdtlseqdt0(xp, xn) = all_0_7_7 & sdtlseqdt0(xm, xp) = 0 & sdtlseqdt0(xn, xp) = 0 & sdtasdt0(all_0_4_4, xm) = all_0_3_3 & sdtasdt0(xn, xm) = all_0_8_8 & sdtpldt0(all_0_2_2, xp) = all_0_1_1 & sdtpldt0(all_0_4_4, xm) = all_0_2_2 & sdtpldt0(all_0_10_10, xp) = all_0_9_9 & sdtpldt0(xn, xm) = all_0_10_10 & aNaturalNumber0(xr) = 0 & aNaturalNumber0(xp) = 0 & aNaturalNumber0(xm) = 0 & aNaturalNumber0(xn) = 0 & aNaturalNumber0(sz10) = 0 & aNaturalNumber0(sz00) = 0 & ~ (isPrime0(sz10) = 0) & ~ (isPrime0(sz00) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = v1 | v0 = sz00 | ~ (sdtlseqdt0(v3, v4) = v5) | ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (sdtlseqdt0(v10, v11) = v12 & sdtlseqdt0(v1, v2) = v9 & sdtasdt0(v2, v0) = v11 & sdtasdt0(v1, v0) = v10 & aNaturalNumber0(v2) = v8 & aNaturalNumber0(v1) = v7 & aNaturalNumber0(v0) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | (v12 = 0 & v5 = 0 & ~ (v11 = v10) & ~ (v4 = v3))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (sdtlseqdt0(v3, v4) = v5) | ~ (sdtlseqdt0(v0, v1) = 0) | ~ (sdtpldt0(v1, v2) = v4) | ~ (sdtpldt0(v0, v2) = v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((sdtlseqdt0(v7, v8) = v9 & sdtpldt0(v2, v1) = v8 & sdtpldt0(v2, v0) = v7 & aNaturalNumber0(v2) = v6 & ( ~ (v6 = 0) | (v9 = 0 & v5 = 0 & ~ (v8 = v7) & ~ (v4 = v3)))) | (aNaturalNumber0(v1) = v7 & aNaturalNumber0(v0) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v0 = sz00 | ~ (sdtsldt0(v4, v0) = v5) | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v3, v1) = v4) | ? [v6] : ? [v7] : ? [v8] : ((doDivides0(v0, v1) = v8 & aNaturalNumber0(v1) = v7 & aNaturalNumber0(v0) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0))) | (sdtasdt0(v3, v2) = v7 & aNaturalNumber0(v3) = v6 & ( ~ (v6 = 0) | v7 = v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (sdtasdt0(v9, v0) = v11 & sdtasdt0(v2, v0) = v13 & sdtasdt0(v1, v0) = v12 & sdtasdt0(v0, v9) = v10 & sdtpldt0(v12, v13) = v14 & sdtpldt0(v1, v2) = v9 & aNaturalNumber0(v2) = v8 & aNaturalNumber0(v1) = v7 & aNaturalNumber0(v0) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | (v14 = v11 & v10 = v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (doDivides0(v0, v3) = v4) | ~ (sdtpldt0(v1, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (doDivides0(v0, v2) = v9 & doDivides0(v0, v1) = v8 & aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0) = v5 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ (aNaturalNumber0(v0) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (sdtasdt0(v2, v0) = v8 & sdtasdt0(v1, v0) = v7 & aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | ( ~ (v8 = v7) & ~ (v4 = v3))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (sdtpldt0(v0, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtpldt0(v2, v0) = v9 & sdtpldt0(v1, v0) = v8 & aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ( ~ (v9 = v8) & ~ (v4 = v3))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v3, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v1, v2) = v8 & sdtasdt0(v0, v8) = v9 & aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtpldt0(v1, v2) = v8 & sdtpldt0(v0, v8) = v9 & aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v0, v3) = v1) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v4 = 0) & aNaturalNumber0(v3) = v4) | (doDivides0(v0, v1) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (sdtmndt0(v1, v0) = v2) | ~ (sdtpldt0(v0, v3) = v1) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v4 = 0) & aNaturalNumber0(v3) = v4) | (sdtlseqdt0(v0, v1) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v0, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (doDivides0(v0, v1) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (sdtmndt0(v1, v0) = v2) | ~ (sdtpldt0(v0, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(v0, v1) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v0 = sz00 | ~ (sdtlseqdt0(v1, v2) = v3) | ~ (sdtasdt0(v1, v0) = v2) | ? [v4] : ? [v5] : (aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (doDivides0(v0, v2) = v3) | ~ (doDivides0(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (doDivides0(v1, v2) = v7 & aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (sdtlseqdt0(v0, v2) = v3) | ~ (sdtlseqdt0(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (sdtlseqdt0(v1, v2) = v7 & aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (doDivides0(v0, v1) = v2) | ~ (sdtasdt0(v0, v3) = v1) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & aNaturalNumber0(v3) = v4) | (aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (sdtlseqdt0(v0, v1) = v2) | ~ (sdtpldt0(v0, v3) = v1) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & aNaturalNumber0(v3) = v4) | (aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtsldt0(v3, v2) = v1) | ~ (sdtsldt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (doDivides0(v3, v2) = v1) | ~ (doDivides0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtmndt0(v3, v2) = v1) | ~ (sdtmndt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(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] : (v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v0, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ((v4 = 0 & aNaturalNumber0(v2) = 0) | (doDivides0(v0, v1) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (doDivides0(v2, v3) = 0) | ~ (sdtasdt0(v0, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (isPrime0(v2) = v7 & doDivides0(v2, v1) = v12 & doDivides0(v2, v0) = v11 & iLess0(v9, all_0_9_9) = v10 & sdtpldt0(v8, v2) = v9 & sdtpldt0(v0, v1) = v8 & aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v10 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v12 = 0 | v11 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (doDivides0(v0, v3) = 0) | ~ (sdtpldt0(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (doDivides0(v0, v2) = v8 & doDivides0(v0, v1) = v7 & aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v8 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtmndt0(v1, v0) = v2) | ~ (sdtpldt0(v0, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ((v4 = 0 & aNaturalNumber0(v2) = 0) | (sdtlseqdt0(v0, v1) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (iLess0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(v0, v1) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (sdtlseqdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v5 = 0 & ~ (v1 = v0))))) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (isPrime0(v2) = v1) | ~ (isPrime0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sdtasdt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aNaturalNumber0(v2) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sdtpldt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aNaturalNumber0(v2) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : (v1 = v0 | v1 = sz10 | ~ (isPrime0(v0) = 0) | ~ (doDivides0(v1, v0) = 0) | ? [v2] : (( ~ (v2 = 0) & aNaturalNumber0(v1) = v2) | ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtlseqdt0(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : (sdtlseqdt0(v1, v0) = v4 & aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = sz00 | v0 = sz00 | ~ (sdtasdt0(v0, v1) = sz00) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = sz00 | ~ (doDivides0(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : (sdtlseqdt0(v0, v1) = v4 & aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = 0))) & ! [v0] : ! [v1] : (v1 = sz00 | ~ (sdtpldt0(v0, v1) = sz00) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = 0 | v0 = sz10 | v0 = sz00 | ~ (isPrime0(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ((v4 = 0 & v3 = 0 & ~ (v2 = v0) & ~ (v2 = sz10) & doDivides0(v2, v0) = 0 & aNaturalNumber0(v2) = 0) | ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | v0 = sz10 | v0 = sz00 | ~ (sdtlseqdt0(sz10, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (sdtlseqdt0(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2)) & ! [v0] : ! [v1] : (v0 = sz00 | ~ (sdtpldt0(v0, v1) = sz00) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : ( ~ (doDivides0(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v1 & v3 = 0 & sdtasdt0(v0, v2) = v1 & aNaturalNumber0(v2) = 0) | (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))) & ! [v0] : ! [v1] : ( ~ (sdtlseqdt0(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v1 & v3 = 0 & sdtpldt0(v0, v2) = v1 & aNaturalNumber0(v2) = 0) | (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz10, v0) = v1) | ? [v2] : ? [v3] : (sdtasdt0(v0, sz10) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = v0 & v1 = v0)))) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz00, v0) = v1) | ? [v2] : ? [v3] : (sdtasdt0(v0, sz00) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = sz00 & v1 = sz00)))) & ! [v0] : ! [v1] : ( ~ (sdtpldt0(sz00, v0) = v1) | ? [v2] : ? [v3] : (sdtpldt0(v0, sz00) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = v0 & v1 = v0)))) & ! [v0] : (v0 = sz10 | v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | ? [v1] : (isPrime0(v1) = 0 & doDivides0(v1, v0) = 0 & aNaturalNumber0(v1) = 0)) & ( ~ (all_0_0_0 = 0) | all_0_1_1 = all_0_9_9)
% 60.47/26.38 |
% 60.47/26.38 | Applying alpha-rule on (1) yields:
% 60.47/26.38 | (2) sdtlseqdt0(xn, xp) = 0
% 60.47/26.38 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v3, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v1, v2) = v8 & sdtasdt0(v0, v8) = v9 & aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = v4)))
% 60.47/26.38 | (4) sdtlseqdt0(xp, xm) = all_0_6_6
% 60.47/26.38 | (5) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (iLess0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(v0, v1) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0))))
% 60.47/26.38 | (6) ! [v0] : ! [v1] : (v1 = v0 | v1 = sz10 | ~ (isPrime0(v0) = 0) | ~ (doDivides0(v1, v0) = 0) | ? [v2] : (( ~ (v2 = 0) & aNaturalNumber0(v1) = v2) | ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2)))
% 60.47/26.38 | (7) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aNaturalNumber0(v2) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 60.47/26.39 | (8) aNaturalNumber0(xr) = 0
% 60.47/26.39 | (9) ! [v0] : ! [v1] : ( ~ (doDivides0(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v1 & v3 = 0 & sdtasdt0(v0, v2) = v1 & aNaturalNumber0(v2) = 0) | (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))))
% 60.47/26.39 | (10) ~ (all_0_4_4 = xn)
% 60.47/26.39 | (11) doDivides0(xr, xk) = 0
% 60.47/26.39 | (12) aNaturalNumber0(xm) = 0
% 60.47/26.39 | (13) doDivides0(xr, xn) = 0
% 60.47/26.39 | (14) sdtlseqdt0(all_0_4_4, xn) = 0
% 60.47/26.39 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (doDivides0(v2, v3) = 0) | ~ (sdtasdt0(v0, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (isPrime0(v2) = v7 & doDivides0(v2, v1) = v12 & doDivides0(v2, v0) = v11 & iLess0(v9, all_0_9_9) = v10 & sdtpldt0(v8, v2) = v9 & sdtpldt0(v0, v1) = v8 & aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v10 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v12 = 0 | v11 = 0)))
% 60.47/26.39 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = v1 | v0 = sz00 | ~ (sdtlseqdt0(v3, v4) = v5) | ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (sdtlseqdt0(v10, v11) = v12 & sdtlseqdt0(v1, v2) = v9 & sdtasdt0(v2, v0) = v11 & sdtasdt0(v1, v0) = v10 & aNaturalNumber0(v2) = v8 & aNaturalNumber0(v1) = v7 & aNaturalNumber0(v0) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | (v12 = 0 & v5 = 0 & ~ (v11 = v10) & ~ (v4 = v3)))))
% 60.47/26.39 | (17) sdtpldt0(all_0_4_4, xm) = all_0_2_2
% 60.47/26.39 | (18) sdtlseqdt0(xr, xk) = 0
% 60.47/26.39 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v0 = sz00 | ~ (sdtsldt0(v4, v0) = v5) | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v3, v1) = v4) | ? [v6] : ? [v7] : ? [v8] : ((doDivides0(v0, v1) = v8 & aNaturalNumber0(v1) = v7 & aNaturalNumber0(v0) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0))) | (sdtasdt0(v3, v2) = v7 & aNaturalNumber0(v3) = v6 & ( ~ (v6 = 0) | v7 = v5))))
% 60.47/26.39 | (20) aNaturalNumber0(xn) = 0
% 60.47/26.39 | (21) doDivides0(xr, xm) = all_0_5_5
% 60.47/26.39 | (22) aNaturalNumber0(sz10) = 0
% 60.47/26.39 | (23) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sdtasdt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2)))
% 60.47/26.39 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v0, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (doDivides0(v0, v1) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0))))
% 60.47/26.39 | (25) ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz10, v0) = v1) | ? [v2] : ? [v3] : (sdtasdt0(v0, sz10) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = v0 & v1 = v0))))
% 60.47/26.39 | (26) ~ (xk = sz00)
% 60.47/26.39 | (27) sdtasdt0(xn, xm) = all_0_8_8
% 60.47/26.39 | (28) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (sdtlseqdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v5 = 0 & ~ (v1 = v0)))))
% 60.47/26.39 | (29) ~ (all_0_0_0 = 0) | all_0_1_1 = all_0_9_9
% 60.47/26.39 | (30) ! [v0] : ! [v1] : (v1 = sz00 | ~ (doDivides0(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : (sdtlseqdt0(v0, v1) = v4 & aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = 0)))
% 60.47/26.39 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (doDivides0(v3, v2) = v1) | ~ (doDivides0(v3, v2) = v0))
% 60.47/26.39 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0))
% 60.47/26.39 | (33) sdtlseqdt0(xm, xp) = 0
% 60.47/26.39 | (34) ~ (all_0_7_7 = 0)
% 60.47/26.39 | (35) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sdtpldt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2)))
% 60.47/26.39 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 60.47/26.39 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (sdtlseqdt0(v3, v4) = v5) | ~ (sdtlseqdt0(v0, v1) = 0) | ~ (sdtpldt0(v1, v2) = v4) | ~ (sdtpldt0(v0, v2) = v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((sdtlseqdt0(v7, v8) = v9 & sdtpldt0(v2, v1) = v8 & sdtpldt0(v2, v0) = v7 & aNaturalNumber0(v2) = v6 & ( ~ (v6 = 0) | (v9 = 0 & v5 = 0 & ~ (v8 = v7) & ~ (v4 = v3)))) | (aNaturalNumber0(v1) = v7 & aNaturalNumber0(v0) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0)))))
% 60.47/26.39 | (38) ! [v0] : ! [v1] : (v1 = 0 | ~ (sdtlseqdt0(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2))
% 60.47/26.39 | (39) sdtpldt0(all_0_2_2, xp) = all_0_1_1
% 60.47/26.39 | (40) doDivides0(xp, all_0_8_8) = 0
% 60.47/26.39 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtmndt0(v3, v2) = v1) | ~ (sdtmndt0(v3, v2) = v0))
% 60.47/26.39 | (42) ~ (xk = xp)
% 60.47/26.39 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (sdtlseqdt0(v0, v2) = v3) | ~ (sdtlseqdt0(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (sdtlseqdt0(v1, v2) = v7 & aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0))))
% 60.47/26.39 | (44) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aNaturalNumber0(v2) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 60.47/26.39 | (45) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0))
% 60.47/26.39 | (46) ! [v0] : (v0 = sz10 | v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | ? [v1] : (isPrime0(v1) = 0 & doDivides0(v1, v0) = 0 & aNaturalNumber0(v1) = 0))
% 60.47/26.40 | (47) ! [v0] : ! [v1] : ( ~ (sdtlseqdt0(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v1 & v3 = 0 & sdtpldt0(v0, v2) = v1 & aNaturalNumber0(v2) = 0) | (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))))
% 60.47/26.40 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v0 = sz00 | ~ (sdtlseqdt0(v1, v2) = v3) | ~ (sdtasdt0(v1, v0) = v2) | ? [v4] : ? [v5] : (aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))
% 60.47/26.40 | (49) sdtpldt0(all_0_10_10, xp) = all_0_9_9
% 60.47/26.40 | (50) ~ (isPrime0(sz10) = 0)
% 60.47/26.40 | (51) ~ (all_0_6_6 = 0)
% 60.47/26.40 | (52) ! [v0] : ! [v1] : (v1 = sz00 | ~ (sdtpldt0(v0, v1) = sz00) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 60.47/26.40 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (sdtmndt0(v1, v0) = v2) | ~ (sdtpldt0(v0, v3) = v1) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v4 = 0) & aNaturalNumber0(v3) = v4) | (sdtlseqdt0(v0, v1) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0)))))
% 60.47/26.40 | (54) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (sdtmndt0(v1, v0) = v2) | ~ (sdtpldt0(v0, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(v0, v1) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0))))
% 60.47/26.40 | (55) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (sdtpldt0(v0, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtpldt0(v2, v0) = v9 & sdtpldt0(v1, v0) = v8 & aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ( ~ (v9 = v8) & ~ (v4 = v3)))))
% 60.47/26.40 | (56) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (isPrime0(v2) = v1) | ~ (isPrime0(v2) = v0))
% 60.47/26.40 | (57) aNaturalNumber0(sz00) = 0
% 60.47/26.40 | (58) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ (aNaturalNumber0(v0) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (sdtasdt0(v2, v0) = v8 & sdtasdt0(v1, v0) = v7 & aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | ( ~ (v8 = v7) & ~ (v4 = v3)))))
% 60.47/26.40 | (59) sdtlseqdt0(xk, xp) = 0
% 60.47/26.40 | (60) sdtpldt0(xn, xm) = all_0_10_10
% 60.47/26.40 | (61) doDivides0(xr, all_0_8_8) = 0
% 60.47/26.40 | (62) sdtsldt0(xn, xr) = all_0_4_4
% 60.47/26.40 | (63) ~ (sz10 = sz00)
% 60.47/26.40 | (64) ! [v0] : ! [v1] : (v1 = sz00 | v0 = sz00 | ~ (sdtasdt0(v0, v1) = sz00) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 60.47/26.40 | (65) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = v0))
% 60.47/26.40 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v0, v3) = v1) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v4 = 0) & aNaturalNumber0(v3) = v4) | (doDivides0(v0, v1) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0)))))
% 60.47/26.40 | (67) ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtlseqdt0(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : (sdtlseqdt0(v1, v0) = v4 & aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0))))
% 60.47/26.40 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (doDivides0(v0, v1) = v2) | ~ (sdtasdt0(v0, v3) = v1) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & aNaturalNumber0(v3) = v4) | (aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))))
% 60.47/26.40 | (69) aNaturalNumber0(xp) = 0
% 60.47/26.40 | (70) ~ (xk = sz10)
% 60.47/26.40 | (71) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (sdtasdt0(v9, v0) = v11 & sdtasdt0(v2, v0) = v13 & sdtasdt0(v1, v0) = v12 & sdtasdt0(v0, v9) = v10 & sdtpldt0(v12, v13) = v14 & sdtpldt0(v1, v2) = v9 & aNaturalNumber0(v2) = v8 & aNaturalNumber0(v1) = v7 & aNaturalNumber0(v0) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | (v14 = v11 & v10 = v5))))
% 60.47/26.40 | (72) ! [v0] : ! [v1] : (v0 = sz00 | ~ (sdtpldt0(v0, v1) = sz00) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 60.47/26.40 | (73) isPrime0(xr) = 0
% 60.47/26.40 | (74) ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz00, v0) = v1) | ? [v2] : ? [v3] : (sdtasdt0(v0, sz00) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = sz00 & v1 = sz00))))
% 60.47/26.40 | (75) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (doDivides0(v0, v3) = 0) | ~ (sdtpldt0(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (doDivides0(v0, v2) = v8 & doDivides0(v0, v1) = v7 & aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v8 = 0)))
% 60.47/26.40 | (76) ~ (xp = xn)
% 60.47/26.40 | (77) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (sdtlseqdt0(v0, v1) = v2) | ~ (sdtpldt0(v0, v3) = v1) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & aNaturalNumber0(v3) = v4) | (aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))))
% 60.47/26.40 | (78) doDivides0(xp, all_0_3_3) = 0
% 60.47/26.40 | (79) sdtlseqdt0(xp, xn) = all_0_7_7
% 60.47/26.40 | (80) sdtsldt0(all_0_8_8, xp) = xk
% 60.47/26.40 | (81) ! [v0] : ! [v1] : ( ~ (sdtpldt0(sz00, v0) = v1) | ? [v2] : ? [v3] : (sdtpldt0(v0, sz00) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = v0 & v1 = v0))))
% 60.47/26.40 | (82) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtsldt0(v3, v2) = v1) | ~ (sdtsldt0(v3, v2) = v0))
% 60.47/26.40 | (83) ! [v0] : ! [v1] : (v1 = 0 | v0 = sz10 | v0 = sz00 | ~ (isPrime0(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ((v4 = 0 & v3 = 0 & ~ (v2 = v0) & ~ (v2 = sz10) & doDivides0(v2, v0) = 0 & aNaturalNumber0(v2) = 0) | ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2)))
% 60.47/26.41 | (84) sdtasdt0(all_0_4_4, xm) = all_0_3_3
% 60.47/26.41 | (85) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v0, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ((v4 = 0 & aNaturalNumber0(v2) = 0) | (doDivides0(v0, v1) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0)))))
% 60.47/26.41 | (86) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (doDivides0(v0, v3) = v4) | ~ (sdtpldt0(v1, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (doDivides0(v0, v2) = v9 & doDivides0(v0, v1) = v8 & aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0) = v5 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0))))
% 60.47/26.41 | (87) ~ (isPrime0(sz00) = 0)
% 60.47/26.41 | (88) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (doDivides0(v0, v2) = v3) | ~ (doDivides0(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (doDivides0(v1, v2) = v7 & aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0))))
% 60.47/26.41 | (89) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtpldt0(v1, v2) = v8 & sdtpldt0(v0, v8) = v9 & aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = v4)))
% 60.47/26.41 | (90) isPrime0(xp) = 0
% 60.47/26.41 | (91) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0))
% 60.47/26.41 | (92) ~ (xp = xm)
% 60.47/26.41 | (93) sdtlseqdt0(all_0_1_1, all_0_9_9) = all_0_0_0
% 60.47/26.41 | (94) ! [v0] : ! [v1] : (v1 = 0 | v0 = sz10 | v0 = sz00 | ~ (sdtlseqdt0(sz10, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2))
% 60.47/26.41 | (95) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtmndt0(v1, v0) = v2) | ~ (sdtpldt0(v0, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ((v4 = 0 & aNaturalNumber0(v2) = 0) | (sdtlseqdt0(v0, v1) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0)))))
% 60.47/26.41 |
% 60.47/26.41 | Using (73) and (50) yields:
% 60.47/26.41 | (96) ~ (xr = sz10)
% 60.47/26.41 |
% 60.47/26.41 | Using (90) and (50) yields:
% 60.47/26.41 | (97) ~ (xp = sz10)
% 60.47/26.41 |
% 60.47/26.41 | Using (73) and (87) yields:
% 60.47/26.41 | (98) ~ (xr = sz00)
% 60.47/26.41 |
% 60.47/26.41 | Using (90) and (87) yields:
% 60.47/26.41 | (99) ~ (xp = sz00)
% 60.47/26.41 |
% 60.47/26.41 | Instantiating formula (9) with all_0_8_8, xr and discharging atoms doDivides0(xr, all_0_8_8) = 0, yields:
% 60.47/26.41 | (100) ? [v0] : ? [v1] : ? [v2] : ((v2 = all_0_8_8 & v1 = 0 & sdtasdt0(xr, v0) = all_0_8_8 & aNaturalNumber0(v0) = 0) | (aNaturalNumber0(all_0_8_8) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 60.47/26.41 |
% 60.47/26.41 | Instantiating formula (30) with xk, xr and discharging atoms doDivides0(xr, xk) = 0, yields:
% 60.47/26.41 | (101) xk = sz00 | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xr, xk) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xk) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 60.47/26.41 |
% 60.47/26.41 | Instantiating formula (9) with xn, xr and discharging atoms doDivides0(xr, xn) = 0, yields:
% 60.47/26.41 | (102) ? [v0] : ? [v1] : ? [v2] : ((v2 = xn & v1 = 0 & sdtasdt0(xr, v0) = xn & aNaturalNumber0(v0) = 0) | (aNaturalNumber0(xr) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 60.47/26.41 |
% 60.47/26.41 | Instantiating formula (9) with all_0_8_8, xp and discharging atoms doDivides0(xp, all_0_8_8) = 0, yields:
% 60.47/26.41 | (103) ? [v0] : ? [v1] : ? [v2] : ((v2 = all_0_8_8 & v1 = 0 & sdtasdt0(xp, v0) = all_0_8_8 & aNaturalNumber0(v0) = 0) | (aNaturalNumber0(all_0_8_8) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 60.47/26.41 |
% 60.47/26.41 | Instantiating formula (28) with all_0_0_0, all_0_9_9, all_0_1_1 and discharging atoms sdtlseqdt0(all_0_1_1, all_0_9_9) = all_0_0_0, yields:
% 60.47/26.41 | (104) all_0_0_0 = 0 | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_0_9_9, all_0_1_1) = v2 & aNaturalNumber0(all_0_1_1) = v0 & aNaturalNumber0(all_0_9_9) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v2 = 0 & ~ (all_0_1_1 = all_0_9_9))))
% 60.47/26.41 |
% 60.47/26.41 | Instantiating formula (67) with xn, all_0_4_4 and discharging atoms sdtlseqdt0(all_0_4_4, xn) = 0, yields:
% 60.47/26.41 | (105) all_0_4_4 = xn | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xn, all_0_4_4) = v2 & aNaturalNumber0(all_0_4_4) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 60.47/26.41 |
% 60.47/26.41 | Instantiating formula (67) with xp, xk and discharging atoms sdtlseqdt0(xk, xp) = 0, yields:
% 60.47/26.41 | (106) xk = xp | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xp, xk) = v2 & aNaturalNumber0(xk) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 60.47/26.41 |
% 60.47/26.41 | Instantiating formula (47) with xp, xm and discharging atoms sdtlseqdt0(xm, xp) = 0, yields:
% 60.47/26.41 | (107) ? [v0] : ? [v1] : ? [v2] : ((v2 = xp & v1 = 0 & sdtpldt0(xm, v0) = xp & aNaturalNumber0(v0) = 0) | (aNaturalNumber0(xp) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 60.47/26.41 |
% 60.47/26.41 | Instantiating formula (47) with xp, xn and discharging atoms sdtlseqdt0(xn, xp) = 0, yields:
% 60.47/26.41 | (108) ? [v0] : ? [v1] : ? [v2] : ((v2 = xp & v1 = 0 & sdtpldt0(xn, v0) = xp & aNaturalNumber0(v0) = 0) | (aNaturalNumber0(xp) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 60.47/26.41 |
% 60.47/26.41 | Instantiating formula (15) with all_0_3_3, xp, xm, all_0_4_4 and discharging atoms doDivides0(xp, all_0_3_3) = 0, sdtasdt0(all_0_4_4, xm) = all_0_3_3, yields:
% 60.47/26.41 | (109) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (isPrime0(xp) = v3 & doDivides0(xp, all_0_4_4) = v7 & doDivides0(xp, xm) = v8 & iLess0(v5, all_0_9_9) = v6 & sdtpldt0(v4, xp) = v5 & sdtpldt0(all_0_4_4, xm) = v4 & aNaturalNumber0(all_0_4_4) = v0 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v1 & ( ~ (v6 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0))
% 60.47/26.42 |
% 60.47/26.42 | Instantiating formula (23) with all_0_3_3, xm, all_0_4_4 and discharging atoms sdtasdt0(all_0_4_4, xm) = all_0_3_3, yields:
% 60.47/26.42 | (110) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(xm, all_0_4_4) = v2 & aNaturalNumber0(all_0_4_4) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_3_3))
% 60.47/26.42 |
% 60.47/26.42 | Instantiating formula (44) with all_0_3_3, xm, all_0_4_4 and discharging atoms sdtasdt0(all_0_4_4, xm) = all_0_3_3, yields:
% 60.47/26.42 | (111) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_0_3_3) = v2 & aNaturalNumber0(all_0_4_4) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 60.47/26.42 |
% 60.47/26.42 | Instantiating formula (15) with all_0_8_8, xr, xm, xn and discharging atoms doDivides0(xr, all_0_8_8) = 0, sdtasdt0(xn, xm) = all_0_8_8, yields:
% 60.47/26.42 | (112) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (isPrime0(xr) = v3 & doDivides0(xr, xm) = v8 & doDivides0(xr, xn) = v7 & iLess0(v5, all_0_9_9) = v6 & sdtpldt0(v4, xr) = v5 & sdtpldt0(xn, xm) = v4 & aNaturalNumber0(xr) = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v6 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0))
% 60.47/26.42 |
% 60.47/26.42 | Instantiating formula (15) with all_0_8_8, xp, xm, xn and discharging atoms doDivides0(xp, all_0_8_8) = 0, sdtasdt0(xn, xm) = all_0_8_8, yields:
% 60.47/26.42 | (113) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (isPrime0(xp) = v3 & doDivides0(xp, xm) = v8 & doDivides0(xp, xn) = v7 & iLess0(v5, all_0_9_9) = v6 & sdtpldt0(v4, xp) = v5 & sdtpldt0(xn, xm) = v4 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v6 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0))
% 60.47/26.42 |
% 60.47/26.42 | Instantiating formula (23) with all_0_8_8, xm, xn and discharging atoms sdtasdt0(xn, xm) = all_0_8_8, yields:
% 60.47/26.42 | (114) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(xm, xn) = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_8_8))
% 60.47/26.42 |
% 60.47/26.42 | Instantiating formula (44) with all_0_8_8, xm, xn and discharging atoms sdtasdt0(xn, xm) = all_0_8_8, yields:
% 60.47/26.42 | (115) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_0_8_8) = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 60.47/26.42 |
% 60.47/26.42 | Instantiating formula (35) with all_0_1_1, xp, all_0_2_2 and discharging atoms sdtpldt0(all_0_2_2, xp) = all_0_1_1, yields:
% 60.47/26.42 | (116) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(xp, all_0_2_2) = v2 & aNaturalNumber0(all_0_2_2) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_1_1))
% 60.47/26.42 |
% 60.47/26.42 | Instantiating formula (7) with all_0_1_1, xp, all_0_2_2 and discharging atoms sdtpldt0(all_0_2_2, xp) = all_0_1_1, yields:
% 60.47/26.42 | (117) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_0_1_1) = v2 & aNaturalNumber0(all_0_2_2) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 60.47/26.42 |
% 60.47/26.42 | Instantiating formula (89) with all_0_1_1, all_0_2_2, xp, xm, all_0_4_4 and discharging atoms sdtpldt0(all_0_2_2, xp) = all_0_1_1, sdtpldt0(all_0_4_4, xm) = all_0_2_2, yields:
% 60.47/26.42 | (118) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_4_4, v3) = v4 & sdtpldt0(xm, xp) = v3 & aNaturalNumber0(all_0_4_4) = v0 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_1_1))
% 60.47/26.42 |
% 60.47/26.42 | Instantiating formula (35) with all_0_2_2, xm, all_0_4_4 and discharging atoms sdtpldt0(all_0_4_4, xm) = all_0_2_2, yields:
% 60.47/26.42 | (119) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(xm, all_0_4_4) = v2 & aNaturalNumber0(all_0_4_4) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_2_2))
% 60.47/26.42 |
% 60.47/26.42 | Instantiating formula (7) with all_0_2_2, xm, all_0_4_4 and discharging atoms sdtpldt0(all_0_4_4, xm) = all_0_2_2, yields:
% 60.47/26.42 | (120) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_0_2_2) = v2 & aNaturalNumber0(all_0_4_4) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 60.47/26.42 |
% 60.47/26.42 | Instantiating formula (35) with all_0_9_9, xp, all_0_10_10 and discharging atoms sdtpldt0(all_0_10_10, xp) = all_0_9_9, yields:
% 60.47/26.42 | (121) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(xp, all_0_10_10) = v2 & aNaturalNumber0(all_0_10_10) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_9_9))
% 60.47/26.42 |
% 60.47/26.42 | Instantiating formula (7) with all_0_9_9, xp, all_0_10_10 and discharging atoms sdtpldt0(all_0_10_10, xp) = all_0_9_9, yields:
% 60.47/26.42 | (122) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_0_9_9) = v2 & aNaturalNumber0(all_0_10_10) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 60.47/26.42 |
% 60.47/26.42 | Instantiating formula (89) with all_0_9_9, all_0_10_10, xp, xm, xn and discharging atoms sdtpldt0(all_0_10_10, xp) = all_0_9_9, sdtpldt0(xn, xm) = all_0_10_10, yields:
% 60.47/26.42 | (123) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(xm, xp) = v3 & sdtpldt0(xn, v3) = v4 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_9_9))
% 60.47/26.42 |
% 60.47/26.42 | Instantiating formula (35) with all_0_10_10, xm, xn and discharging atoms sdtpldt0(xn, xm) = all_0_10_10, yields:
% 60.47/26.42 | (124) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(xm, xn) = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_10_10))
% 60.47/26.42 |
% 60.47/26.42 | Instantiating formula (7) with all_0_10_10, xm, xn and discharging atoms sdtpldt0(xn, xm) = all_0_10_10, yields:
% 60.47/26.42 | (125) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_0_10_10) = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 60.47/26.42 |
% 60.47/26.42 | Instantiating formula (46) with xr and discharging atoms aNaturalNumber0(xr) = 0, yields:
% 60.47/26.42 | (126) xr = sz10 | xr = sz00 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xr) = 0 & aNaturalNumber0(v0) = 0)
% 60.47/26.42 |
% 60.47/26.42 | Instantiating formula (46) with xp and discharging atoms aNaturalNumber0(xp) = 0, yields:
% 60.47/26.42 | (127) xp = sz10 | xp = sz00 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xp) = 0 & aNaturalNumber0(v0) = 0)
% 60.47/26.42 |
% 60.47/26.42 | Instantiating (125) with all_12_0_11, all_12_1_12, all_12_2_13 yields:
% 60.47/26.42 | (128) aNaturalNumber0(all_0_10_10) = all_12_0_11 & aNaturalNumber0(xm) = all_12_1_12 & aNaturalNumber0(xn) = all_12_2_13 & ( ~ (all_12_1_12 = 0) | ~ (all_12_2_13 = 0) | all_12_0_11 = 0)
% 60.47/26.42 |
% 60.47/26.42 | Applying alpha-rule on (128) yields:
% 60.47/26.42 | (129) aNaturalNumber0(all_0_10_10) = all_12_0_11
% 60.47/26.42 | (130) aNaturalNumber0(xm) = all_12_1_12
% 60.47/26.42 | (131) aNaturalNumber0(xn) = all_12_2_13
% 60.47/26.42 | (132) ~ (all_12_1_12 = 0) | ~ (all_12_2_13 = 0) | all_12_0_11 = 0
% 60.47/26.42 |
% 60.47/26.42 | Instantiating (122) with all_14_0_14, all_14_1_15, all_14_2_16 yields:
% 60.47/26.42 | (133) aNaturalNumber0(all_0_9_9) = all_14_0_14 & aNaturalNumber0(all_0_10_10) = all_14_2_16 & aNaturalNumber0(xp) = all_14_1_15 & ( ~ (all_14_1_15 = 0) | ~ (all_14_2_16 = 0) | all_14_0_14 = 0)
% 60.47/26.42 |
% 60.47/26.42 | Applying alpha-rule on (133) yields:
% 60.47/26.42 | (134) aNaturalNumber0(all_0_9_9) = all_14_0_14
% 60.47/26.42 | (135) aNaturalNumber0(all_0_10_10) = all_14_2_16
% 60.47/26.42 | (136) aNaturalNumber0(xp) = all_14_1_15
% 60.47/26.42 | (137) ~ (all_14_1_15 = 0) | ~ (all_14_2_16 = 0) | all_14_0_14 = 0
% 60.47/26.42 |
% 60.47/26.42 | Instantiating (121) with all_16_0_17, all_16_1_18, all_16_2_19 yields:
% 60.47/26.42 | (138) sdtpldt0(xp, all_0_10_10) = all_16_0_17 & aNaturalNumber0(all_0_10_10) = all_16_2_19 & aNaturalNumber0(xp) = all_16_1_18 & ( ~ (all_16_1_18 = 0) | ~ (all_16_2_19 = 0) | all_16_0_17 = all_0_9_9)
% 60.47/26.43 |
% 60.47/26.43 | Applying alpha-rule on (138) yields:
% 60.47/26.43 | (139) sdtpldt0(xp, all_0_10_10) = all_16_0_17
% 60.47/26.43 | (140) aNaturalNumber0(all_0_10_10) = all_16_2_19
% 60.47/26.43 | (141) aNaturalNumber0(xp) = all_16_1_18
% 60.47/26.43 | (142) ~ (all_16_1_18 = 0) | ~ (all_16_2_19 = 0) | all_16_0_17 = all_0_9_9
% 60.47/26.43 |
% 60.47/26.43 | Instantiating (124) with all_18_0_20, all_18_1_21, all_18_2_22 yields:
% 60.47/26.43 | (143) sdtpldt0(xm, xn) = all_18_0_20 & aNaturalNumber0(xm) = all_18_1_21 & aNaturalNumber0(xn) = all_18_2_22 & ( ~ (all_18_1_21 = 0) | ~ (all_18_2_22 = 0) | all_18_0_20 = all_0_10_10)
% 60.47/26.43 |
% 60.47/26.43 | Applying alpha-rule on (143) yields:
% 60.47/26.43 | (144) sdtpldt0(xm, xn) = all_18_0_20
% 60.47/26.43 | (145) aNaturalNumber0(xm) = all_18_1_21
% 60.47/26.43 | (146) aNaturalNumber0(xn) = all_18_2_22
% 60.47/26.43 | (147) ~ (all_18_1_21 = 0) | ~ (all_18_2_22 = 0) | all_18_0_20 = all_0_10_10
% 60.47/26.43 |
% 60.47/26.43 | Instantiating (118) with all_20_0_23, all_20_1_24, all_20_2_25, all_20_3_26, all_20_4_27 yields:
% 60.47/26.43 | (148) sdtpldt0(all_0_4_4, all_20_1_24) = all_20_0_23 & sdtpldt0(xm, xp) = all_20_1_24 & aNaturalNumber0(all_0_4_4) = all_20_4_27 & aNaturalNumber0(xp) = all_20_2_25 & aNaturalNumber0(xm) = all_20_3_26 & ( ~ (all_20_2_25 = 0) | ~ (all_20_3_26 = 0) | ~ (all_20_4_27 = 0) | all_20_0_23 = all_0_1_1)
% 60.47/26.43 |
% 60.47/26.43 | Applying alpha-rule on (148) yields:
% 60.47/26.43 | (149) aNaturalNumber0(xp) = all_20_2_25
% 60.47/26.43 | (150) aNaturalNumber0(xm) = all_20_3_26
% 60.47/26.43 | (151) sdtpldt0(xm, xp) = all_20_1_24
% 60.47/26.43 | (152) ~ (all_20_2_25 = 0) | ~ (all_20_3_26 = 0) | ~ (all_20_4_27 = 0) | all_20_0_23 = all_0_1_1
% 60.47/26.43 | (153) sdtpldt0(all_0_4_4, all_20_1_24) = all_20_0_23
% 60.47/26.43 | (154) aNaturalNumber0(all_0_4_4) = all_20_4_27
% 60.47/26.43 |
% 60.47/26.43 | Instantiating (117) with all_22_0_28, all_22_1_29, all_22_2_30 yields:
% 60.47/26.43 | (155) aNaturalNumber0(all_0_1_1) = all_22_0_28 & aNaturalNumber0(all_0_2_2) = all_22_2_30 & aNaturalNumber0(xp) = all_22_1_29 & ( ~ (all_22_1_29 = 0) | ~ (all_22_2_30 = 0) | all_22_0_28 = 0)
% 60.47/26.43 |
% 60.47/26.43 | Applying alpha-rule on (155) yields:
% 60.47/26.43 | (156) aNaturalNumber0(all_0_1_1) = all_22_0_28
% 60.47/26.43 | (157) aNaturalNumber0(all_0_2_2) = all_22_2_30
% 60.47/26.43 | (158) aNaturalNumber0(xp) = all_22_1_29
% 60.47/26.43 | (159) ~ (all_22_1_29 = 0) | ~ (all_22_2_30 = 0) | all_22_0_28 = 0
% 60.47/26.43 |
% 60.47/26.43 | Instantiating (115) with all_24_0_31, all_24_1_32, all_24_2_33 yields:
% 60.47/26.43 | (160) aNaturalNumber0(all_0_8_8) = all_24_0_31 & aNaturalNumber0(xm) = all_24_1_32 & aNaturalNumber0(xn) = all_24_2_33 & ( ~ (all_24_1_32 = 0) | ~ (all_24_2_33 = 0) | all_24_0_31 = 0)
% 60.47/26.43 |
% 60.47/26.43 | Applying alpha-rule on (160) yields:
% 60.47/26.43 | (161) aNaturalNumber0(all_0_8_8) = all_24_0_31
% 60.47/26.43 | (162) aNaturalNumber0(xm) = all_24_1_32
% 60.47/26.43 | (163) aNaturalNumber0(xn) = all_24_2_33
% 60.47/26.43 | (164) ~ (all_24_1_32 = 0) | ~ (all_24_2_33 = 0) | all_24_0_31 = 0
% 60.47/26.43 |
% 60.47/26.43 | Instantiating (116) with all_26_0_34, all_26_1_35, all_26_2_36 yields:
% 60.47/26.43 | (165) sdtpldt0(xp, all_0_2_2) = all_26_0_34 & aNaturalNumber0(all_0_2_2) = all_26_2_36 & aNaturalNumber0(xp) = all_26_1_35 & ( ~ (all_26_1_35 = 0) | ~ (all_26_2_36 = 0) | all_26_0_34 = all_0_1_1)
% 60.47/26.43 |
% 60.47/26.43 | Applying alpha-rule on (165) yields:
% 60.47/26.43 | (166) sdtpldt0(xp, all_0_2_2) = all_26_0_34
% 60.47/26.43 | (167) aNaturalNumber0(all_0_2_2) = all_26_2_36
% 60.47/26.43 | (168) aNaturalNumber0(xp) = all_26_1_35
% 60.47/26.43 | (169) ~ (all_26_1_35 = 0) | ~ (all_26_2_36 = 0) | all_26_0_34 = all_0_1_1
% 60.47/26.43 |
% 60.47/26.43 | Instantiating (123) with all_28_0_37, all_28_1_38, all_28_2_39, all_28_3_40, all_28_4_41 yields:
% 60.47/26.43 | (170) sdtpldt0(xm, xp) = all_28_1_38 & sdtpldt0(xn, all_28_1_38) = all_28_0_37 & aNaturalNumber0(xp) = all_28_2_39 & aNaturalNumber0(xm) = all_28_3_40 & aNaturalNumber0(xn) = all_28_4_41 & ( ~ (all_28_2_39 = 0) | ~ (all_28_3_40 = 0) | ~ (all_28_4_41 = 0) | all_28_0_37 = all_0_9_9)
% 60.47/26.43 |
% 60.47/26.43 | Applying alpha-rule on (170) yields:
% 60.47/26.43 | (171) sdtpldt0(xn, all_28_1_38) = all_28_0_37
% 60.47/26.43 | (172) ~ (all_28_2_39 = 0) | ~ (all_28_3_40 = 0) | ~ (all_28_4_41 = 0) | all_28_0_37 = all_0_9_9
% 60.47/26.43 | (173) aNaturalNumber0(xm) = all_28_3_40
% 60.47/26.43 | (174) aNaturalNumber0(xn) = all_28_4_41
% 60.47/26.43 | (175) aNaturalNumber0(xp) = all_28_2_39
% 60.47/26.43 | (176) sdtpldt0(xm, xp) = all_28_1_38
% 60.47/26.43 |
% 60.47/26.43 | Instantiating (120) with all_30_0_42, all_30_1_43, all_30_2_44 yields:
% 60.47/26.43 | (177) aNaturalNumber0(all_0_2_2) = all_30_0_42 & aNaturalNumber0(all_0_4_4) = all_30_2_44 & aNaturalNumber0(xm) = all_30_1_43 & ( ~ (all_30_1_43 = 0) | ~ (all_30_2_44 = 0) | all_30_0_42 = 0)
% 60.47/26.43 |
% 60.47/26.43 | Applying alpha-rule on (177) yields:
% 60.47/26.43 | (178) aNaturalNumber0(all_0_2_2) = all_30_0_42
% 60.47/26.43 | (179) aNaturalNumber0(all_0_4_4) = all_30_2_44
% 60.47/26.43 | (180) aNaturalNumber0(xm) = all_30_1_43
% 60.47/26.43 | (181) ~ (all_30_1_43 = 0) | ~ (all_30_2_44 = 0) | all_30_0_42 = 0
% 60.47/26.43 |
% 60.47/26.43 | Instantiating (119) with all_32_0_45, all_32_1_46, all_32_2_47 yields:
% 60.47/26.43 | (182) sdtpldt0(xm, all_0_4_4) = all_32_0_45 & aNaturalNumber0(all_0_4_4) = all_32_2_47 & aNaturalNumber0(xm) = all_32_1_46 & ( ~ (all_32_1_46 = 0) | ~ (all_32_2_47 = 0) | all_32_0_45 = all_0_2_2)
% 60.47/26.43 |
% 60.47/26.43 | Applying alpha-rule on (182) yields:
% 60.47/26.43 | (183) sdtpldt0(xm, all_0_4_4) = all_32_0_45
% 60.47/26.43 | (184) aNaturalNumber0(all_0_4_4) = all_32_2_47
% 60.47/26.43 | (185) aNaturalNumber0(xm) = all_32_1_46
% 60.47/26.43 | (186) ~ (all_32_1_46 = 0) | ~ (all_32_2_47 = 0) | all_32_0_45 = all_0_2_2
% 60.47/26.43 |
% 60.47/26.43 | Instantiating (114) with all_34_0_48, all_34_1_49, all_34_2_50 yields:
% 60.47/26.43 | (187) sdtasdt0(xm, xn) = all_34_0_48 & aNaturalNumber0(xm) = all_34_1_49 & aNaturalNumber0(xn) = all_34_2_50 & ( ~ (all_34_1_49 = 0) | ~ (all_34_2_50 = 0) | all_34_0_48 = all_0_8_8)
% 60.47/26.43 |
% 60.47/26.43 | Applying alpha-rule on (187) yields:
% 60.47/26.43 | (188) sdtasdt0(xm, xn) = all_34_0_48
% 60.47/26.43 | (189) aNaturalNumber0(xm) = all_34_1_49
% 60.47/26.43 | (190) aNaturalNumber0(xn) = all_34_2_50
% 60.47/26.43 | (191) ~ (all_34_1_49 = 0) | ~ (all_34_2_50 = 0) | all_34_0_48 = all_0_8_8
% 60.47/26.43 |
% 60.47/26.43 | Instantiating (113) with all_36_0_51, all_36_1_52, all_36_2_53, all_36_3_54, all_36_4_55, all_36_5_56, all_36_6_57, all_36_7_58, all_36_8_59 yields:
% 60.47/26.43 | (192) isPrime0(xp) = all_36_5_56 & doDivides0(xp, xm) = all_36_0_51 & doDivides0(xp, xn) = all_36_1_52 & iLess0(all_36_3_54, all_0_9_9) = all_36_2_53 & sdtpldt0(all_36_4_55, xp) = all_36_3_54 & sdtpldt0(xn, xm) = all_36_4_55 & aNaturalNumber0(xp) = all_36_6_57 & aNaturalNumber0(xm) = all_36_7_58 & aNaturalNumber0(xn) = all_36_8_59 & ( ~ (all_36_2_53 = 0) | ~ (all_36_5_56 = 0) | ~ (all_36_6_57 = 0) | ~ (all_36_7_58 = 0) | ~ (all_36_8_59 = 0) | all_36_0_51 = 0 | all_36_1_52 = 0)
% 60.47/26.43 |
% 60.47/26.43 | Applying alpha-rule on (192) yields:
% 60.47/26.43 | (193) aNaturalNumber0(xn) = all_36_8_59
% 60.47/26.43 | (194) doDivides0(xp, xn) = all_36_1_52
% 60.47/26.43 | (195) ~ (all_36_2_53 = 0) | ~ (all_36_5_56 = 0) | ~ (all_36_6_57 = 0) | ~ (all_36_7_58 = 0) | ~ (all_36_8_59 = 0) | all_36_0_51 = 0 | all_36_1_52 = 0
% 60.47/26.44 | (196) aNaturalNumber0(xm) = all_36_7_58
% 60.47/26.44 | (197) sdtpldt0(all_36_4_55, xp) = all_36_3_54
% 60.47/26.44 | (198) sdtpldt0(xn, xm) = all_36_4_55
% 60.47/26.44 | (199) iLess0(all_36_3_54, all_0_9_9) = all_36_2_53
% 60.47/26.44 | (200) aNaturalNumber0(xp) = all_36_6_57
% 60.47/26.44 | (201) doDivides0(xp, xm) = all_36_0_51
% 60.47/26.44 | (202) isPrime0(xp) = all_36_5_56
% 60.47/26.44 |
% 60.47/26.44 | Instantiating (111) with all_38_0_60, all_38_1_61, all_38_2_62 yields:
% 60.47/26.44 | (203) aNaturalNumber0(all_0_3_3) = all_38_0_60 & aNaturalNumber0(all_0_4_4) = all_38_2_62 & aNaturalNumber0(xm) = all_38_1_61 & ( ~ (all_38_1_61 = 0) | ~ (all_38_2_62 = 0) | all_38_0_60 = 0)
% 60.47/26.44 |
% 60.47/26.44 | Applying alpha-rule on (203) yields:
% 60.47/26.44 | (204) aNaturalNumber0(all_0_3_3) = all_38_0_60
% 60.47/26.44 | (205) aNaturalNumber0(all_0_4_4) = all_38_2_62
% 60.47/26.44 | (206) aNaturalNumber0(xm) = all_38_1_61
% 60.47/26.44 | (207) ~ (all_38_1_61 = 0) | ~ (all_38_2_62 = 0) | all_38_0_60 = 0
% 60.47/26.44 |
% 60.47/26.44 | Instantiating (110) with all_40_0_63, all_40_1_64, all_40_2_65 yields:
% 60.47/26.44 | (208) sdtasdt0(xm, all_0_4_4) = all_40_0_63 & aNaturalNumber0(all_0_4_4) = all_40_2_65 & aNaturalNumber0(xm) = all_40_1_64 & ( ~ (all_40_1_64 = 0) | ~ (all_40_2_65 = 0) | all_40_0_63 = all_0_3_3)
% 60.47/26.44 |
% 60.47/26.44 | Applying alpha-rule on (208) yields:
% 60.47/26.44 | (209) sdtasdt0(xm, all_0_4_4) = all_40_0_63
% 60.47/26.44 | (210) aNaturalNumber0(all_0_4_4) = all_40_2_65
% 60.47/26.44 | (211) aNaturalNumber0(xm) = all_40_1_64
% 60.47/26.44 | (212) ~ (all_40_1_64 = 0) | ~ (all_40_2_65 = 0) | all_40_0_63 = all_0_3_3
% 60.47/26.44 |
% 60.47/26.44 | Instantiating (107) with all_42_0_66, all_42_1_67, all_42_2_68 yields:
% 60.47/26.44 | (213) (all_42_0_66 = xp & all_42_1_67 = 0 & sdtpldt0(xm, all_42_2_68) = xp & aNaturalNumber0(all_42_2_68) = 0) | (aNaturalNumber0(xp) = all_42_1_67 & aNaturalNumber0(xm) = all_42_2_68 & ( ~ (all_42_1_67 = 0) | ~ (all_42_2_68 = 0)))
% 60.47/26.44 |
% 60.47/26.44 | Instantiating (109) with all_46_0_78, all_46_1_79, all_46_2_80, all_46_3_81, all_46_4_82, all_46_5_83, all_46_6_84, all_46_7_85, all_46_8_86 yields:
% 60.47/26.44 | (214) isPrime0(xp) = all_46_5_83 & doDivides0(xp, all_0_4_4) = all_46_1_79 & doDivides0(xp, xm) = all_46_0_78 & iLess0(all_46_3_81, all_0_9_9) = all_46_2_80 & sdtpldt0(all_46_4_82, xp) = all_46_3_81 & sdtpldt0(all_0_4_4, xm) = all_46_4_82 & aNaturalNumber0(all_0_4_4) = all_46_8_86 & aNaturalNumber0(xp) = all_46_6_84 & aNaturalNumber0(xm) = all_46_7_85 & ( ~ (all_46_2_80 = 0) | ~ (all_46_5_83 = 0) | ~ (all_46_6_84 = 0) | ~ (all_46_7_85 = 0) | ~ (all_46_8_86 = 0) | all_46_0_78 = 0 | all_46_1_79 = 0)
% 60.47/26.44 |
% 60.47/26.44 | Applying alpha-rule on (214) yields:
% 60.47/26.44 | (215) doDivides0(xp, all_0_4_4) = all_46_1_79
% 60.47/26.44 | (216) isPrime0(xp) = all_46_5_83
% 60.47/26.44 | (217) iLess0(all_46_3_81, all_0_9_9) = all_46_2_80
% 60.47/26.44 | (218) aNaturalNumber0(xp) = all_46_6_84
% 60.47/26.44 | (219) doDivides0(xp, xm) = all_46_0_78
% 60.47/26.44 | (220) sdtpldt0(all_46_4_82, xp) = all_46_3_81
% 60.47/26.44 | (221) sdtpldt0(all_0_4_4, xm) = all_46_4_82
% 60.47/26.44 | (222) ~ (all_46_2_80 = 0) | ~ (all_46_5_83 = 0) | ~ (all_46_6_84 = 0) | ~ (all_46_7_85 = 0) | ~ (all_46_8_86 = 0) | all_46_0_78 = 0 | all_46_1_79 = 0
% 60.47/26.44 | (223) aNaturalNumber0(all_0_4_4) = all_46_8_86
% 60.47/26.44 | (224) aNaturalNumber0(xm) = all_46_7_85
% 60.47/26.44 |
% 60.47/26.44 | Instantiating (108) with all_48_0_87, all_48_1_88, all_48_2_89 yields:
% 60.47/26.44 | (225) (all_48_0_87 = xp & all_48_1_88 = 0 & sdtpldt0(xn, all_48_2_89) = xp & aNaturalNumber0(all_48_2_89) = 0) | (aNaturalNumber0(xp) = all_48_1_88 & aNaturalNumber0(xn) = all_48_2_89 & ( ~ (all_48_1_88 = 0) | ~ (all_48_2_89 = 0)))
% 60.47/26.44 |
% 60.47/26.44 | Instantiating (103) with all_49_0_90, all_49_1_91, all_49_2_92 yields:
% 60.47/26.44 | (226) (all_49_0_90 = all_0_8_8 & all_49_1_91 = 0 & sdtasdt0(xp, all_49_2_92) = all_0_8_8 & aNaturalNumber0(all_49_2_92) = 0) | (aNaturalNumber0(all_0_8_8) = all_49_1_91 & aNaturalNumber0(xp) = all_49_2_92 & ( ~ (all_49_1_91 = 0) | ~ (all_49_2_92 = 0)))
% 60.47/26.44 |
% 60.47/26.44 | Instantiating (112) with all_51_0_96, all_51_1_97, all_51_2_98, all_51_3_99, all_51_4_100, all_51_5_101, all_51_6_102, all_51_7_103, all_51_8_104 yields:
% 60.47/26.44 | (227) isPrime0(xr) = all_51_5_101 & doDivides0(xr, xm) = all_51_0_96 & doDivides0(xr, xn) = all_51_1_97 & iLess0(all_51_3_99, all_0_9_9) = all_51_2_98 & sdtpldt0(all_51_4_100, xr) = all_51_3_99 & sdtpldt0(xn, xm) = all_51_4_100 & aNaturalNumber0(xr) = all_51_6_102 & aNaturalNumber0(xm) = all_51_7_103 & aNaturalNumber0(xn) = all_51_8_104 & ( ~ (all_51_2_98 = 0) | ~ (all_51_5_101 = 0) | ~ (all_51_6_102 = 0) | ~ (all_51_7_103 = 0) | ~ (all_51_8_104 = 0) | all_51_0_96 = 0 | all_51_1_97 = 0)
% 60.47/26.44 |
% 60.47/26.44 | Applying alpha-rule on (227) yields:
% 60.47/26.44 | (228) doDivides0(xr, xn) = all_51_1_97
% 60.47/26.44 | (229) iLess0(all_51_3_99, all_0_9_9) = all_51_2_98
% 60.47/26.44 | (230) aNaturalNumber0(xn) = all_51_8_104
% 60.47/26.44 | (231) doDivides0(xr, xm) = all_51_0_96
% 60.47/26.44 | (232) isPrime0(xr) = all_51_5_101
% 60.47/26.44 | (233) sdtpldt0(xn, xm) = all_51_4_100
% 60.47/26.44 | (234) aNaturalNumber0(xm) = all_51_7_103
% 60.47/26.44 | (235) ~ (all_51_2_98 = 0) | ~ (all_51_5_101 = 0) | ~ (all_51_6_102 = 0) | ~ (all_51_7_103 = 0) | ~ (all_51_8_104 = 0) | all_51_0_96 = 0 | all_51_1_97 = 0
% 60.47/26.44 | (236) sdtpldt0(all_51_4_100, xr) = all_51_3_99
% 60.47/26.44 | (237) aNaturalNumber0(xr) = all_51_6_102
% 60.47/26.44 |
% 60.47/26.44 | Instantiating (102) with all_54_0_108, all_54_1_109, all_54_2_110 yields:
% 60.47/26.44 | (238) (all_54_0_108 = xn & all_54_1_109 = 0 & sdtasdt0(xr, all_54_2_110) = xn & aNaturalNumber0(all_54_2_110) = 0) | (aNaturalNumber0(xr) = all_54_2_110 & aNaturalNumber0(xn) = all_54_1_109 & ( ~ (all_54_1_109 = 0) | ~ (all_54_2_110 = 0)))
% 60.47/26.44 |
% 60.47/26.44 | Instantiating (100) with all_55_0_111, all_55_1_112, all_55_2_113 yields:
% 60.47/26.44 | (239) (all_55_0_111 = all_0_8_8 & all_55_1_112 = 0 & sdtasdt0(xr, all_55_2_113) = all_0_8_8 & aNaturalNumber0(all_55_2_113) = 0) | (aNaturalNumber0(all_0_8_8) = all_55_1_112 & aNaturalNumber0(xr) = all_55_2_113 & ( ~ (all_55_1_112 = 0) | ~ (all_55_2_113 = 0)))
% 60.47/26.44 |
% 60.47/26.44 +-Applying beta-rule and splitting (106), into two cases.
% 60.47/26.44 |-Branch one:
% 60.47/26.44 | (240) xk = xp
% 60.47/26.44 |
% 60.47/26.44 | Equations (240) can reduce 42 to:
% 60.47/26.44 | (241) $false
% 60.47/26.44 |
% 60.47/26.45 |-The branch is then unsatisfiable
% 60.47/26.45 |-Branch two:
% 60.47/26.45 | (42) ~ (xk = xp)
% 60.47/26.45 | (243) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xp, xk) = v2 & aNaturalNumber0(xk) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 60.89/26.45 |
% 60.89/26.45 | Instantiating (243) with all_60_0_114, all_60_1_115, all_60_2_116 yields:
% 60.89/26.45 | (244) sdtlseqdt0(xp, xk) = all_60_0_114 & aNaturalNumber0(xk) = all_60_2_116 & aNaturalNumber0(xp) = all_60_1_115 & ( ~ (all_60_0_114 = 0) | ~ (all_60_1_115 = 0) | ~ (all_60_2_116 = 0))
% 60.89/26.45 |
% 60.89/26.45 | Applying alpha-rule on (244) yields:
% 60.89/26.45 | (245) sdtlseqdt0(xp, xk) = all_60_0_114
% 60.89/26.45 | (246) aNaturalNumber0(xk) = all_60_2_116
% 60.89/26.45 | (247) aNaturalNumber0(xp) = all_60_1_115
% 60.89/26.45 | (248) ~ (all_60_0_114 = 0) | ~ (all_60_1_115 = 0) | ~ (all_60_2_116 = 0)
% 60.89/26.45 |
% 60.89/26.45 +-Applying beta-rule and splitting (105), into two cases.
% 60.89/26.45 |-Branch one:
% 60.89/26.45 | (249) all_0_4_4 = xn
% 60.89/26.45 |
% 60.89/26.45 | Equations (249) can reduce 10 to:
% 60.89/26.45 | (241) $false
% 60.89/26.45 |
% 60.89/26.45 |-The branch is then unsatisfiable
% 60.89/26.45 |-Branch two:
% 60.89/26.45 | (10) ~ (all_0_4_4 = xn)
% 60.89/26.45 | (252) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xn, all_0_4_4) = v2 & aNaturalNumber0(all_0_4_4) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 60.89/26.45 |
% 60.89/26.45 | Instantiating (252) with all_65_0_117, all_65_1_118, all_65_2_119 yields:
% 60.89/26.45 | (253) sdtlseqdt0(xn, all_0_4_4) = all_65_0_117 & aNaturalNumber0(all_0_4_4) = all_65_2_119 & aNaturalNumber0(xn) = all_65_1_118 & ( ~ (all_65_0_117 = 0) | ~ (all_65_1_118 = 0) | ~ (all_65_2_119 = 0))
% 60.89/26.45 |
% 60.89/26.45 | Applying alpha-rule on (253) yields:
% 60.89/26.45 | (254) sdtlseqdt0(xn, all_0_4_4) = all_65_0_117
% 60.89/26.45 | (255) aNaturalNumber0(all_0_4_4) = all_65_2_119
% 60.89/26.45 | (256) aNaturalNumber0(xn) = all_65_1_118
% 60.89/26.45 | (257) ~ (all_65_0_117 = 0) | ~ (all_65_1_118 = 0) | ~ (all_65_2_119 = 0)
% 60.89/26.45 |
% 60.89/26.45 +-Applying beta-rule and splitting (101), into two cases.
% 60.89/26.45 |-Branch one:
% 60.89/26.45 | (258) xk = sz00
% 60.89/26.45 |
% 60.89/26.45 | Equations (258) can reduce 26 to:
% 60.89/26.45 | (241) $false
% 60.89/26.45 |
% 60.89/26.45 |-The branch is then unsatisfiable
% 60.89/26.45 |-Branch two:
% 60.89/26.45 | (26) ~ (xk = sz00)
% 60.89/26.45 | (261) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xr, xk) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xk) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 60.89/26.45 |
% 60.89/26.45 | Instantiating (261) with all_70_0_120, all_70_1_121, all_70_2_122 yields:
% 60.89/26.45 | (262) sdtlseqdt0(xr, xk) = all_70_0_120 & aNaturalNumber0(xr) = all_70_2_122 & aNaturalNumber0(xk) = all_70_1_121 & ( ~ (all_70_1_121 = 0) | ~ (all_70_2_122 = 0) | all_70_0_120 = 0)
% 60.89/26.45 |
% 60.89/26.45 | Applying alpha-rule on (262) yields:
% 60.89/26.45 | (263) sdtlseqdt0(xr, xk) = all_70_0_120
% 60.89/26.45 | (264) aNaturalNumber0(xr) = all_70_2_122
% 60.89/26.45 | (265) aNaturalNumber0(xk) = all_70_1_121
% 60.89/26.45 | (266) ~ (all_70_1_121 = 0) | ~ (all_70_2_122 = 0) | all_70_0_120 = 0
% 60.89/26.45 |
% 60.89/26.45 +-Applying beta-rule and splitting (126), into two cases.
% 60.89/26.45 |-Branch one:
% 60.89/26.45 | (267) xr = sz00
% 60.89/26.45 |
% 60.89/26.45 | Equations (267) can reduce 98 to:
% 60.89/26.45 | (241) $false
% 60.89/26.45 |
% 60.89/26.45 |-The branch is then unsatisfiable
% 60.89/26.45 |-Branch two:
% 60.89/26.45 | (98) ~ (xr = sz00)
% 60.89/26.45 | (270) xr = sz10 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xr) = 0 & aNaturalNumber0(v0) = 0)
% 60.89/26.45 |
% 60.89/26.45 +-Applying beta-rule and splitting (127), into two cases.
% 60.89/26.45 |-Branch one:
% 60.89/26.45 | (271) xp = sz00
% 60.89/26.45 |
% 60.89/26.45 | Equations (271) can reduce 99 to:
% 60.89/26.45 | (241) $false
% 60.89/26.45 |
% 60.89/26.45 |-The branch is then unsatisfiable
% 60.89/26.45 |-Branch two:
% 60.89/26.45 | (99) ~ (xp = sz00)
% 60.89/26.45 | (274) xp = sz10 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xp) = 0 & aNaturalNumber0(v0) = 0)
% 60.89/26.45 |
% 60.89/26.45 +-Applying beta-rule and splitting (270), into two cases.
% 60.89/26.45 |-Branch one:
% 60.89/26.45 | (275) xr = sz10
% 60.89/26.45 |
% 60.89/26.45 | Equations (275) can reduce 96 to:
% 60.89/26.45 | (241) $false
% 60.89/26.45 |
% 60.89/26.45 |-The branch is then unsatisfiable
% 60.89/26.45 |-Branch two:
% 60.89/26.45 | (96) ~ (xr = sz10)
% 60.89/26.45 | (278) ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xr) = 0 & aNaturalNumber0(v0) = 0)
% 60.89/26.45 |
% 60.89/26.45 | Instantiating (278) with all_82_0_123 yields:
% 60.89/26.45 | (279) isPrime0(all_82_0_123) = 0 & doDivides0(all_82_0_123, xr) = 0 & aNaturalNumber0(all_82_0_123) = 0
% 60.89/26.45 |
% 60.89/26.45 | Applying alpha-rule on (279) yields:
% 60.89/26.45 | (280) isPrime0(all_82_0_123) = 0
% 60.89/26.45 | (281) doDivides0(all_82_0_123, xr) = 0
% 60.89/26.45 | (282) aNaturalNumber0(all_82_0_123) = 0
% 60.89/26.45 |
% 60.89/26.45 +-Applying beta-rule and splitting (274), into two cases.
% 60.89/26.45 |-Branch one:
% 60.89/26.45 | (283) xp = sz10
% 60.89/26.45 |
% 60.89/26.45 | Equations (283) can reduce 97 to:
% 60.89/26.45 | (241) $false
% 60.89/26.45 |
% 60.89/26.45 |-The branch is then unsatisfiable
% 60.89/26.45 |-Branch two:
% 60.89/26.45 | (97) ~ (xp = sz10)
% 60.89/26.45 | (286) ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xp) = 0 & aNaturalNumber0(v0) = 0)
% 60.89/26.46 |
% 60.89/26.46 | Instantiating (286) with all_87_0_124 yields:
% 60.89/26.46 | (287) isPrime0(all_87_0_124) = 0 & doDivides0(all_87_0_124, xp) = 0 & aNaturalNumber0(all_87_0_124) = 0
% 60.89/26.46 |
% 60.89/26.46 | Applying alpha-rule on (287) yields:
% 60.89/26.46 | (288) isPrime0(all_87_0_124) = 0
% 60.89/26.46 | (289) doDivides0(all_87_0_124, xp) = 0
% 60.89/26.46 | (290) aNaturalNumber0(all_87_0_124) = 0
% 60.89/26.46 |
% 60.89/26.46 | Using (288) and (50) yields:
% 60.89/26.46 | (291) ~ (all_87_0_124 = sz10)
% 60.89/26.46 |
% 60.89/26.46 | Using (288) and (87) yields:
% 60.89/26.46 | (292) ~ (all_87_0_124 = sz00)
% 60.89/26.46 |
% 60.89/26.46 | Using (280) and (50) yields:
% 60.89/26.46 | (293) ~ (all_82_0_123 = sz10)
% 60.89/26.46 |
% 60.89/26.46 | Using (280) and (87) yields:
% 60.89/26.46 | (294) ~ (all_82_0_123 = sz00)
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (56) with xr, all_51_5_101, 0 and discharging atoms isPrime0(xr) = all_51_5_101, isPrime0(xr) = 0, yields:
% 60.89/26.46 | (295) all_51_5_101 = 0
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (56) with xp, all_46_5_83, 0 and discharging atoms isPrime0(xp) = all_46_5_83, isPrime0(xp) = 0, yields:
% 60.89/26.46 | (296) all_46_5_83 = 0
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (56) with xp, all_36_5_56, all_46_5_83 and discharging atoms isPrime0(xp) = all_46_5_83, isPrime0(xp) = all_36_5_56, yields:
% 60.89/26.46 | (297) all_46_5_83 = all_36_5_56
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (31) with xr, xn, all_51_1_97, 0 and discharging atoms doDivides0(xr, xn) = all_51_1_97, doDivides0(xr, xn) = 0, yields:
% 60.89/26.46 | (298) all_51_1_97 = 0
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (36) with all_0_2_2, xp, all_46_3_81, all_0_1_1 and discharging atoms sdtpldt0(all_0_2_2, xp) = all_0_1_1, yields:
% 60.89/26.46 | (299) all_46_3_81 = all_0_1_1 | ~ (sdtpldt0(all_0_2_2, xp) = all_46_3_81)
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (36) with all_0_10_10, xp, all_36_3_54, all_0_9_9 and discharging atoms sdtpldt0(all_0_10_10, xp) = all_0_9_9, yields:
% 60.89/26.46 | (300) all_36_3_54 = all_0_9_9 | ~ (sdtpldt0(all_0_10_10, xp) = all_36_3_54)
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (36) with all_0_4_4, xm, all_46_4_82, all_0_2_2 and discharging atoms sdtpldt0(all_0_4_4, xm) = all_46_4_82, sdtpldt0(all_0_4_4, xm) = all_0_2_2, yields:
% 60.89/26.46 | (301) all_46_4_82 = all_0_2_2
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (36) with xm, xp, all_20_1_24, all_28_1_38 and discharging atoms sdtpldt0(xm, xp) = all_28_1_38, sdtpldt0(xm, xp) = all_20_1_24, yields:
% 60.89/26.46 | (302) all_28_1_38 = all_20_1_24
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (36) with xn, xm, all_51_4_100, all_0_10_10 and discharging atoms sdtpldt0(xn, xm) = all_51_4_100, sdtpldt0(xn, xm) = all_0_10_10, yields:
% 60.89/26.46 | (303) all_51_4_100 = all_0_10_10
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (36) with xn, xm, all_36_4_55, all_51_4_100 and discharging atoms sdtpldt0(xn, xm) = all_51_4_100, sdtpldt0(xn, xm) = all_36_4_55, yields:
% 60.89/26.46 | (304) all_51_4_100 = all_36_4_55
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (65) with all_0_2_2, all_26_2_36, all_30_0_42 and discharging atoms aNaturalNumber0(all_0_2_2) = all_30_0_42, aNaturalNumber0(all_0_2_2) = all_26_2_36, yields:
% 60.89/26.46 | (305) all_30_0_42 = all_26_2_36
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (65) with all_0_2_2, all_22_2_30, all_30_0_42 and discharging atoms aNaturalNumber0(all_0_2_2) = all_30_0_42, aNaturalNumber0(all_0_2_2) = all_22_2_30, yields:
% 60.89/26.46 | (306) all_30_0_42 = all_22_2_30
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (65) with all_0_4_4, all_46_8_86, all_65_2_119 and discharging atoms aNaturalNumber0(all_0_4_4) = all_65_2_119, aNaturalNumber0(all_0_4_4) = all_46_8_86, yields:
% 60.89/26.46 | (307) all_65_2_119 = all_46_8_86
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (65) with all_0_4_4, all_40_2_65, all_46_8_86 and discharging atoms aNaturalNumber0(all_0_4_4) = all_46_8_86, aNaturalNumber0(all_0_4_4) = all_40_2_65, yields:
% 60.89/26.46 | (308) all_46_8_86 = all_40_2_65
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (65) with all_0_4_4, all_38_2_62, all_40_2_65 and discharging atoms aNaturalNumber0(all_0_4_4) = all_40_2_65, aNaturalNumber0(all_0_4_4) = all_38_2_62, yields:
% 60.89/26.46 | (309) all_40_2_65 = all_38_2_62
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (65) with all_0_4_4, all_32_2_47, all_38_2_62 and discharging atoms aNaturalNumber0(all_0_4_4) = all_38_2_62, aNaturalNumber0(all_0_4_4) = all_32_2_47, yields:
% 60.89/26.46 | (310) all_38_2_62 = all_32_2_47
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (65) with all_0_4_4, all_30_2_44, all_32_2_47 and discharging atoms aNaturalNumber0(all_0_4_4) = all_32_2_47, aNaturalNumber0(all_0_4_4) = all_30_2_44, yields:
% 60.89/26.46 | (311) all_32_2_47 = all_30_2_44
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (65) with all_0_4_4, all_20_4_27, all_65_2_119 and discharging atoms aNaturalNumber0(all_0_4_4) = all_65_2_119, aNaturalNumber0(all_0_4_4) = all_20_4_27, yields:
% 60.89/26.46 | (312) all_65_2_119 = all_20_4_27
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (65) with all_0_10_10, all_14_2_16, all_16_2_19 and discharging atoms aNaturalNumber0(all_0_10_10) = all_16_2_19, aNaturalNumber0(all_0_10_10) = all_14_2_16, yields:
% 60.89/26.46 | (313) all_16_2_19 = all_14_2_16
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (65) with all_0_10_10, all_12_0_11, all_16_2_19 and discharging atoms aNaturalNumber0(all_0_10_10) = all_16_2_19, aNaturalNumber0(all_0_10_10) = all_12_0_11, yields:
% 60.89/26.46 | (314) all_16_2_19 = all_12_0_11
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (65) with xr, all_70_2_122, 0 and discharging atoms aNaturalNumber0(xr) = all_70_2_122, aNaturalNumber0(xr) = 0, yields:
% 60.89/26.46 | (315) all_70_2_122 = 0
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (65) with xr, all_51_6_102, all_70_2_122 and discharging atoms aNaturalNumber0(xr) = all_70_2_122, aNaturalNumber0(xr) = all_51_6_102, yields:
% 60.89/26.46 | (316) all_70_2_122 = all_51_6_102
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (65) with xp, all_46_6_84, all_60_1_115 and discharging atoms aNaturalNumber0(xp) = all_60_1_115, aNaturalNumber0(xp) = all_46_6_84, yields:
% 60.89/26.46 | (317) all_60_1_115 = all_46_6_84
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (65) with xp, all_36_6_57, 0 and discharging atoms aNaturalNumber0(xp) = all_36_6_57, aNaturalNumber0(xp) = 0, yields:
% 60.89/26.46 | (318) all_36_6_57 = 0
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (65) with xp, all_36_6_57, all_46_6_84 and discharging atoms aNaturalNumber0(xp) = all_46_6_84, aNaturalNumber0(xp) = all_36_6_57, yields:
% 60.89/26.46 | (319) all_46_6_84 = all_36_6_57
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (65) with xp, all_28_2_39, all_36_6_57 and discharging atoms aNaturalNumber0(xp) = all_36_6_57, aNaturalNumber0(xp) = all_28_2_39, yields:
% 60.89/26.46 | (320) all_36_6_57 = all_28_2_39
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (65) with xp, all_26_1_35, all_36_6_57 and discharging atoms aNaturalNumber0(xp) = all_36_6_57, aNaturalNumber0(xp) = all_26_1_35, yields:
% 60.89/26.46 | (321) all_36_6_57 = all_26_1_35
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (65) with xp, all_22_1_29, all_36_6_57 and discharging atoms aNaturalNumber0(xp) = all_36_6_57, aNaturalNumber0(xp) = all_22_1_29, yields:
% 60.89/26.46 | (322) all_36_6_57 = all_22_1_29
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (65) with xp, all_20_2_25, all_60_1_115 and discharging atoms aNaturalNumber0(xp) = all_60_1_115, aNaturalNumber0(xp) = all_20_2_25, yields:
% 60.89/26.46 | (323) all_60_1_115 = all_20_2_25
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (65) with xp, all_16_1_18, all_36_6_57 and discharging atoms aNaturalNumber0(xp) = all_36_6_57, aNaturalNumber0(xp) = all_16_1_18, yields:
% 60.89/26.46 | (324) all_36_6_57 = all_16_1_18
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (65) with xp, all_14_1_15, all_46_6_84 and discharging atoms aNaturalNumber0(xp) = all_46_6_84, aNaturalNumber0(xp) = all_14_1_15, yields:
% 60.89/26.46 | (325) all_46_6_84 = all_14_1_15
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (65) with xm, all_46_7_85, all_51_7_103 and discharging atoms aNaturalNumber0(xm) = all_51_7_103, aNaturalNumber0(xm) = all_46_7_85, yields:
% 60.89/26.46 | (326) all_51_7_103 = all_46_7_85
% 60.89/26.46 |
% 60.89/26.46 | Instantiating formula (65) with xm, all_40_1_64, all_46_7_85 and discharging atoms aNaturalNumber0(xm) = all_46_7_85, aNaturalNumber0(xm) = all_40_1_64, yields:
% 60.89/26.47 | (327) all_46_7_85 = all_40_1_64
% 60.89/26.47 |
% 60.89/26.47 | Instantiating formula (65) with xm, all_38_1_61, all_40_1_64 and discharging atoms aNaturalNumber0(xm) = all_40_1_64, aNaturalNumber0(xm) = all_38_1_61, yields:
% 60.89/26.47 | (328) all_40_1_64 = all_38_1_61
% 60.89/26.47 |
% 60.89/26.47 | Instantiating formula (65) with xm, all_34_1_49, all_38_1_61 and discharging atoms aNaturalNumber0(xm) = all_38_1_61, aNaturalNumber0(xm) = all_34_1_49, yields:
% 60.89/26.47 | (329) all_38_1_61 = all_34_1_49
% 60.89/26.47 |
% 60.89/26.47 | Instantiating formula (65) with xm, all_34_1_49, all_36_7_58 and discharging atoms aNaturalNumber0(xm) = all_36_7_58, aNaturalNumber0(xm) = all_34_1_49, yields:
% 60.89/26.47 | (330) all_36_7_58 = all_34_1_49
% 60.89/26.47 |
% 60.89/26.47 | Instantiating formula (65) with xm, all_32_1_46, all_34_1_49 and discharging atoms aNaturalNumber0(xm) = all_34_1_49, aNaturalNumber0(xm) = all_32_1_46, yields:
% 60.89/26.47 | (331) all_34_1_49 = all_32_1_46
% 60.89/26.47 |
% 60.89/26.47 | Instantiating formula (65) with xm, all_30_1_43, all_32_1_46 and discharging atoms aNaturalNumber0(xm) = all_32_1_46, aNaturalNumber0(xm) = all_30_1_43, yields:
% 60.89/26.47 | (332) all_32_1_46 = all_30_1_43
% 60.89/26.47 |
% 60.89/26.47 | Instantiating formula (65) with xm, all_28_3_40, all_36_7_58 and discharging atoms aNaturalNumber0(xm) = all_36_7_58, aNaturalNumber0(xm) = all_28_3_40, yields:
% 60.89/26.47 | (333) all_36_7_58 = all_28_3_40
% 60.89/26.47 |
% 60.89/26.47 | Instantiating formula (65) with xm, all_24_1_32, all_32_1_46 and discharging atoms aNaturalNumber0(xm) = all_32_1_46, aNaturalNumber0(xm) = all_24_1_32, yields:
% 60.89/26.47 | (334) all_32_1_46 = all_24_1_32
% 60.89/26.47 |
% 60.89/26.47 | Instantiating formula (65) with xm, all_20_3_26, all_30_1_43 and discharging atoms aNaturalNumber0(xm) = all_30_1_43, aNaturalNumber0(xm) = all_20_3_26, yields:
% 60.89/26.47 | (335) all_30_1_43 = all_20_3_26
% 60.89/26.47 |
% 60.89/26.47 | Instantiating formula (65) with xm, all_18_1_21, 0 and discharging atoms aNaturalNumber0(xm) = all_18_1_21, aNaturalNumber0(xm) = 0, yields:
% 60.89/26.47 | (336) all_18_1_21 = 0
% 60.89/26.47 |
% 60.89/26.47 | Instantiating formula (65) with xm, all_18_1_21, all_30_1_43 and discharging atoms aNaturalNumber0(xm) = all_30_1_43, aNaturalNumber0(xm) = all_18_1_21, yields:
% 60.89/26.47 | (337) all_30_1_43 = all_18_1_21
% 60.89/26.47 |
% 60.89/26.47 | Instantiating formula (65) with xm, all_12_1_12, all_51_7_103 and discharging atoms aNaturalNumber0(xm) = all_51_7_103, aNaturalNumber0(xm) = all_12_1_12, yields:
% 60.89/26.47 | (338) all_51_7_103 = all_12_1_12
% 60.89/26.47 |
% 60.89/26.47 | Instantiating formula (65) with xn, all_65_1_118, 0 and discharging atoms aNaturalNumber0(xn) = all_65_1_118, aNaturalNumber0(xn) = 0, yields:
% 60.89/26.47 | (339) all_65_1_118 = 0
% 60.89/26.47 |
% 60.89/26.47 | Instantiating formula (65) with xn, all_36_8_59, all_51_8_104 and discharging atoms aNaturalNumber0(xn) = all_51_8_104, aNaturalNumber0(xn) = all_36_8_59, yields:
% 60.89/26.47 | (340) all_51_8_104 = all_36_8_59
% 60.89/26.47 |
% 60.89/26.47 | Instantiating formula (65) with xn, all_34_2_50, all_36_8_59 and discharging atoms aNaturalNumber0(xn) = all_36_8_59, aNaturalNumber0(xn) = all_34_2_50, yields:
% 60.89/26.47 | (341) all_36_8_59 = all_34_2_50
% 60.89/26.47 |
% 60.89/26.47 | Instantiating formula (65) with xn, all_28_4_41, all_65_1_118 and discharging atoms aNaturalNumber0(xn) = all_65_1_118, aNaturalNumber0(xn) = all_28_4_41, yields:
% 60.89/26.47 | (342) all_65_1_118 = all_28_4_41
% 60.89/26.47 |
% 60.89/26.47 | Instantiating formula (65) with xn, all_28_4_41, all_34_2_50 and discharging atoms aNaturalNumber0(xn) = all_34_2_50, aNaturalNumber0(xn) = all_28_4_41, yields:
% 60.89/26.47 | (343) all_34_2_50 = all_28_4_41
% 60.89/26.47 |
% 60.89/26.47 | Instantiating formula (65) with xn, all_24_2_33, all_28_4_41 and discharging atoms aNaturalNumber0(xn) = all_28_4_41, aNaturalNumber0(xn) = all_24_2_33, yields:
% 60.89/26.47 | (344) all_28_4_41 = all_24_2_33
% 60.89/26.47 |
% 60.89/26.47 | Instantiating formula (65) with xn, all_18_2_22, all_51_8_104 and discharging atoms aNaturalNumber0(xn) = all_51_8_104, aNaturalNumber0(xn) = all_18_2_22, yields:
% 60.89/26.47 | (345) all_51_8_104 = all_18_2_22
% 60.89/26.47 |
% 60.89/26.47 | Instantiating formula (65) with xn, all_12_2_13, all_34_2_50 and discharging atoms aNaturalNumber0(xn) = all_34_2_50, aNaturalNumber0(xn) = all_12_2_13, yields:
% 60.89/26.47 | (346) all_34_2_50 = all_12_2_13
% 60.89/26.47 |
% 60.89/26.47 | Combining equations (315,316) yields a new equation:
% 60.89/26.47 | (347) all_51_6_102 = 0
% 60.89/26.47 |
% 60.89/26.47 | Combining equations (342,339) yields a new equation:
% 60.89/26.47 | (348) all_28_4_41 = 0
% 60.89/26.47 |
% 60.89/26.47 | Simplifying 348 yields:
% 60.89/26.47 | (349) all_28_4_41 = 0
% 60.89/26.47 |
% 60.89/26.47 | Combining equations (307,312) yields a new equation:
% 60.89/26.47 | (350) all_46_8_86 = all_20_4_27
% 60.89/26.47 |
% 60.89/26.47 | Simplifying 350 yields:
% 60.89/26.47 | (351) all_46_8_86 = all_20_4_27
% 60.89/26.47 |
% 60.89/26.47 | Combining equations (317,323) yields a new equation:
% 60.89/26.47 | (352) all_46_6_84 = all_20_2_25
% 60.89/26.47 |
% 60.89/26.47 | Simplifying 352 yields:
% 60.89/26.47 | (353) all_46_6_84 = all_20_2_25
% 60.89/26.47 |
% 60.89/26.47 | Combining equations (304,303) yields a new equation:
% 60.89/26.47 | (354) all_36_4_55 = all_0_10_10
% 60.89/26.47 |
% 60.89/26.47 | Simplifying 354 yields:
% 60.89/26.47 | (355) all_36_4_55 = all_0_10_10
% 60.89/26.47 |
% 60.89/26.47 | Combining equations (326,338) yields a new equation:
% 60.89/26.47 | (356) all_46_7_85 = all_12_1_12
% 60.89/26.47 |
% 60.89/26.47 | Simplifying 356 yields:
% 60.89/26.47 | (357) all_46_7_85 = all_12_1_12
% 60.89/26.47 |
% 60.89/26.47 | Combining equations (340,345) yields a new equation:
% 60.89/26.47 | (358) all_36_8_59 = all_18_2_22
% 60.89/26.47 |
% 60.89/26.47 | Simplifying 358 yields:
% 60.89/26.47 | (359) all_36_8_59 = all_18_2_22
% 60.89/26.47 |
% 60.89/26.47 | Combining equations (297,296) yields a new equation:
% 60.89/26.47 | (360) all_36_5_56 = 0
% 60.89/26.47 |
% 60.89/26.47 | Simplifying 360 yields:
% 60.89/26.47 | (361) all_36_5_56 = 0
% 60.89/26.47 |
% 60.89/26.47 | Combining equations (325,353) yields a new equation:
% 60.89/26.47 | (362) all_20_2_25 = all_14_1_15
% 60.89/26.47 |
% 60.89/26.47 | Combining equations (319,353) yields a new equation:
% 60.89/26.47 | (363) all_36_6_57 = all_20_2_25
% 60.89/26.47 |
% 60.89/26.47 | Simplifying 363 yields:
% 60.89/26.47 | (364) all_36_6_57 = all_20_2_25
% 60.89/26.47 |
% 60.89/26.47 | Combining equations (327,357) yields a new equation:
% 60.89/26.47 | (365) all_40_1_64 = all_12_1_12
% 60.89/26.47 |
% 60.89/26.47 | Simplifying 365 yields:
% 60.89/26.47 | (366) all_40_1_64 = all_12_1_12
% 60.89/26.47 |
% 60.89/26.47 | Combining equations (308,351) yields a new equation:
% 60.89/26.47 | (367) all_40_2_65 = all_20_4_27
% 60.89/26.47 |
% 60.89/26.47 | Simplifying 367 yields:
% 60.89/26.47 | (368) all_40_2_65 = all_20_4_27
% 60.89/26.47 |
% 60.89/26.47 | Combining equations (328,366) yields a new equation:
% 60.89/26.47 | (369) all_38_1_61 = all_12_1_12
% 60.89/26.47 |
% 60.89/26.47 | Simplifying 369 yields:
% 60.89/26.47 | (370) all_38_1_61 = all_12_1_12
% 60.89/26.47 |
% 60.89/26.47 | Combining equations (309,368) yields a new equation:
% 60.89/26.47 | (371) all_38_2_62 = all_20_4_27
% 60.89/26.47 |
% 60.89/26.47 | Simplifying 371 yields:
% 60.89/26.47 | (372) all_38_2_62 = all_20_4_27
% 60.89/26.47 |
% 60.89/26.47 | Combining equations (329,370) yields a new equation:
% 60.89/26.47 | (373) all_34_1_49 = all_12_1_12
% 60.89/26.47 |
% 60.89/26.47 | Simplifying 373 yields:
% 60.89/26.47 | (374) all_34_1_49 = all_12_1_12
% 60.89/26.47 |
% 60.89/26.47 | Combining equations (310,372) yields a new equation:
% 60.89/26.47 | (375) all_32_2_47 = all_20_4_27
% 60.89/26.47 |
% 60.89/26.47 | Simplifying 375 yields:
% 60.89/26.47 | (376) all_32_2_47 = all_20_4_27
% 60.89/26.47 |
% 60.89/26.47 | Combining equations (321,320) yields a new equation:
% 60.89/26.47 | (377) all_28_2_39 = all_26_1_35
% 60.89/26.47 |
% 60.89/26.47 | Combining equations (322,320) yields a new equation:
% 60.89/26.47 | (378) all_28_2_39 = all_22_1_29
% 60.89/26.47 |
% 60.89/26.47 | Combining equations (318,320) yields a new equation:
% 60.89/26.47 | (379) all_28_2_39 = 0
% 60.89/26.47 |
% 60.89/26.47 | Combining equations (324,320) yields a new equation:
% 60.89/26.47 | (380) all_28_2_39 = all_16_1_18
% 60.89/26.47 |
% 60.89/26.47 | Combining equations (364,320) yields a new equation:
% 60.89/26.47 | (381) all_28_2_39 = all_20_2_25
% 60.89/26.47 |
% 60.89/26.47 | Combining equations (330,333) yields a new equation:
% 60.89/26.47 | (382) all_34_1_49 = all_28_3_40
% 60.89/26.47 |
% 60.89/26.47 | Simplifying 382 yields:
% 60.89/26.47 | (383) all_34_1_49 = all_28_3_40
% 60.89/26.48 |
% 60.89/26.48 | Combining equations (341,359) yields a new equation:
% 60.89/26.48 | (384) all_34_2_50 = all_18_2_22
% 60.89/26.48 |
% 60.89/26.48 | Simplifying 384 yields:
% 60.89/26.48 | (385) all_34_2_50 = all_18_2_22
% 60.89/26.48 |
% 60.89/26.48 | Combining equations (331,383) yields a new equation:
% 60.89/26.48 | (386) all_32_1_46 = all_28_3_40
% 60.89/26.48 |
% 60.89/26.48 | Simplifying 386 yields:
% 60.89/26.48 | (387) all_32_1_46 = all_28_3_40
% 60.89/26.48 |
% 60.89/26.48 | Combining equations (374,383) yields a new equation:
% 60.89/26.48 | (388) all_28_3_40 = all_12_1_12
% 60.89/26.48 |
% 60.89/26.48 | Combining equations (343,385) yields a new equation:
% 60.89/26.48 | (389) all_28_4_41 = all_18_2_22
% 60.89/26.48 |
% 60.89/26.48 | Simplifying 389 yields:
% 60.89/26.48 | (390) all_28_4_41 = all_18_2_22
% 60.89/26.48 |
% 60.89/26.48 | Combining equations (346,385) yields a new equation:
% 60.89/26.48 | (391) all_18_2_22 = all_12_2_13
% 60.89/26.48 |
% 60.89/26.48 | Combining equations (332,334) yields a new equation:
% 60.89/26.48 | (392) all_30_1_43 = all_24_1_32
% 60.89/26.48 |
% 60.89/26.48 | Simplifying 392 yields:
% 60.89/26.48 | (393) all_30_1_43 = all_24_1_32
% 60.89/26.48 |
% 60.89/26.48 | Combining equations (387,334) yields a new equation:
% 60.89/26.48 | (394) all_28_3_40 = all_24_1_32
% 60.89/26.48 |
% 60.89/26.48 | Simplifying 394 yields:
% 60.89/26.48 | (395) all_28_3_40 = all_24_1_32
% 60.89/26.48 |
% 60.89/26.48 | Combining equations (311,376) yields a new equation:
% 60.89/26.48 | (396) all_30_2_44 = all_20_4_27
% 60.89/26.48 |
% 60.89/26.48 | Simplifying 396 yields:
% 60.89/26.48 | (397) all_30_2_44 = all_20_4_27
% 60.89/26.48 |
% 60.89/26.48 | Combining equations (306,305) yields a new equation:
% 60.89/26.48 | (398) all_26_2_36 = all_22_2_30
% 60.89/26.48 |
% 60.89/26.48 | Combining equations (337,335) yields a new equation:
% 60.89/26.48 | (399) all_20_3_26 = all_18_1_21
% 60.89/26.48 |
% 60.89/26.48 | Combining equations (393,335) yields a new equation:
% 60.89/26.48 | (400) all_24_1_32 = all_20_3_26
% 60.89/26.48 |
% 60.89/26.48 | Simplifying 400 yields:
% 60.89/26.48 | (401) all_24_1_32 = all_20_3_26
% 60.89/26.48 |
% 60.89/26.48 | Combining equations (380,377) yields a new equation:
% 60.89/26.48 | (402) all_26_1_35 = all_16_1_18
% 60.89/26.48 |
% 60.89/26.48 | Combining equations (378,377) yields a new equation:
% 60.89/26.48 | (403) all_26_1_35 = all_22_1_29
% 60.89/26.48 |
% 60.89/26.48 | Combining equations (379,377) yields a new equation:
% 60.89/26.48 | (404) all_26_1_35 = 0
% 60.89/26.48 |
% 60.89/26.48 | Combining equations (381,377) yields a new equation:
% 60.89/26.48 | (405) all_26_1_35 = all_20_2_25
% 60.89/26.48 |
% 60.89/26.48 | Combining equations (395,388) yields a new equation:
% 60.89/26.48 | (406) all_24_1_32 = all_12_1_12
% 60.89/26.48 |
% 60.89/26.48 | Simplifying 406 yields:
% 60.89/26.48 | (407) all_24_1_32 = all_12_1_12
% 60.89/26.48 |
% 60.89/26.48 | Combining equations (349,344) yields a new equation:
% 60.89/26.48 | (408) all_24_2_33 = 0
% 60.89/26.48 |
% 60.89/26.48 | Combining equations (390,344) yields a new equation:
% 60.89/26.48 | (409) all_24_2_33 = all_18_2_22
% 60.89/26.48 |
% 60.89/26.48 | Combining equations (404,403) yields a new equation:
% 60.89/26.48 | (410) all_22_1_29 = 0
% 60.89/26.48 |
% 60.89/26.48 | Combining equations (405,403) yields a new equation:
% 60.89/26.48 | (411) all_22_1_29 = all_20_2_25
% 60.89/26.48 |
% 60.89/26.48 | Combining equations (402,403) yields a new equation:
% 60.89/26.48 | (412) all_22_1_29 = all_16_1_18
% 60.89/26.48 |
% 60.89/26.48 | Combining equations (401,407) yields a new equation:
% 60.89/26.48 | (413) all_20_3_26 = all_12_1_12
% 60.89/26.48 |
% 60.89/26.48 | Simplifying 413 yields:
% 60.89/26.48 | (414) all_20_3_26 = all_12_1_12
% 60.89/26.48 |
% 60.89/26.48 | Combining equations (409,408) yields a new equation:
% 60.89/26.48 | (415) all_18_2_22 = 0
% 60.89/26.48 |
% 60.89/26.48 | Simplifying 415 yields:
% 60.89/26.48 | (416) all_18_2_22 = 0
% 60.89/26.48 |
% 60.89/26.48 | Combining equations (411,412) yields a new equation:
% 60.89/26.48 | (417) all_20_2_25 = all_16_1_18
% 60.89/26.48 |
% 60.89/26.48 | Simplifying 417 yields:
% 60.89/26.48 | (418) all_20_2_25 = all_16_1_18
% 60.89/26.48 |
% 60.89/26.48 | Combining equations (410,412) yields a new equation:
% 60.89/26.48 | (419) all_16_1_18 = 0
% 60.89/26.48 |
% 60.89/26.48 | Combining equations (418,362) yields a new equation:
% 60.89/26.48 | (420) all_16_1_18 = all_14_1_15
% 60.89/26.48 |
% 60.89/26.48 | Simplifying 420 yields:
% 60.89/26.48 | (421) all_16_1_18 = all_14_1_15
% 60.89/26.48 |
% 60.89/26.48 | Combining equations (399,414) yields a new equation:
% 60.89/26.48 | (422) all_18_1_21 = all_12_1_12
% 60.89/26.48 |
% 60.89/26.48 | Simplifying 422 yields:
% 60.89/26.48 | (423) all_18_1_21 = all_12_1_12
% 60.89/26.48 |
% 61.05/26.48 | Combining equations (336,423) yields a new equation:
% 61.05/26.48 | (424) all_12_1_12 = 0
% 61.05/26.48 |
% 61.05/26.48 | Combining equations (391,416) yields a new equation:
% 61.05/26.48 | (425) all_12_2_13 = 0
% 61.05/26.48 |
% 61.05/26.48 | Simplifying 425 yields:
% 61.05/26.48 | (426) all_12_2_13 = 0
% 61.05/26.48 |
% 61.05/26.48 | Combining equations (419,421) yields a new equation:
% 61.05/26.48 | (427) all_14_1_15 = 0
% 61.05/26.48 |
% 61.05/26.48 | Combining equations (313,314) yields a new equation:
% 61.05/26.48 | (428) all_14_2_16 = all_12_0_11
% 61.05/26.48 |
% 61.05/26.48 | Simplifying 428 yields:
% 61.05/26.48 | (429) all_14_2_16 = all_12_0_11
% 61.05/26.48 |
% 61.05/26.48 | Combining equations (427,421) yields a new equation:
% 61.05/26.48 | (419) all_16_1_18 = 0
% 61.05/26.48 |
% 61.05/26.48 | Combining equations (424,423) yields a new equation:
% 61.05/26.48 | (336) all_18_1_21 = 0
% 61.05/26.48 |
% 61.05/26.48 | Combining equations (424,414) yields a new equation:
% 61.05/26.48 | (432) all_20_3_26 = 0
% 61.05/26.48 |
% 61.05/26.48 | Combining equations (427,362) yields a new equation:
% 61.05/26.48 | (433) all_20_2_25 = 0
% 61.05/26.48 |
% 61.05/26.48 | Combining equations (419,412) yields a new equation:
% 61.05/26.48 | (410) all_22_1_29 = 0
% 61.05/26.48 |
% 61.05/26.48 | Combining equations (424,407) yields a new equation:
% 61.05/26.48 | (435) all_24_1_32 = 0
% 61.05/26.48 |
% 61.05/26.48 | Combining equations (410,403) yields a new equation:
% 61.05/26.48 | (404) all_26_1_35 = 0
% 61.05/26.48 |
% 61.05/26.48 | Combining equations (408,344) yields a new equation:
% 61.05/26.48 | (349) all_28_4_41 = 0
% 61.05/26.48 |
% 61.05/26.48 | Combining equations (424,388) yields a new equation:
% 61.05/26.48 | (438) all_28_3_40 = 0
% 61.05/26.48 |
% 61.05/26.48 | Combining equations (404,377) yields a new equation:
% 61.05/26.48 | (379) all_28_2_39 = 0
% 61.05/26.48 |
% 61.05/26.48 | Combining equations (435,334) yields a new equation:
% 61.05/26.48 | (440) all_32_1_46 = 0
% 61.05/26.48 |
% 61.05/26.48 | Combining equations (416,385) yields a new equation:
% 61.05/26.48 | (441) all_34_2_50 = 0
% 61.05/26.48 |
% 61.05/26.48 | Combining equations (438,383) yields a new equation:
% 61.05/26.48 | (442) all_34_1_49 = 0
% 61.05/26.48 |
% 61.05/26.48 | Combining equations (424,366) yields a new equation:
% 61.05/26.48 | (443) all_40_1_64 = 0
% 61.05/26.48 |
% 61.05/26.48 | From (295) and (232) follows:
% 61.05/26.48 | (73) isPrime0(xr) = 0
% 61.05/26.48 |
% 61.05/26.48 | From (361) and (202) follows:
% 61.05/26.48 | (90) isPrime0(xp) = 0
% 61.05/26.48 |
% 61.05/26.48 | From (298) and (228) follows:
% 61.05/26.48 | (13) doDivides0(xr, xn) = 0
% 61.05/26.48 |
% 61.05/26.48 | From (303) and (236) follows:
% 61.05/26.48 | (447) sdtpldt0(all_0_10_10, xr) = all_51_3_99
% 61.05/26.48 |
% 61.05/26.48 | From (301) and (220) follows:
% 61.05/26.48 | (448) sdtpldt0(all_0_2_2, xp) = all_46_3_81
% 61.05/26.48 |
% 61.05/26.48 | From (355) and (197) follows:
% 61.05/26.48 | (449) sdtpldt0(all_0_10_10, xp) = all_36_3_54
% 61.05/26.48 |
% 61.05/26.48 | From (301) and (221) follows:
% 61.05/26.48 | (17) sdtpldt0(all_0_4_4, xm) = all_0_2_2
% 61.05/26.48 |
% 61.05/26.48 | From (302) and (176) follows:
% 61.05/26.48 | (151) sdtpldt0(xm, xp) = all_20_1_24
% 61.05/26.48 |
% 61.05/26.48 | From (302) and (171) follows:
% 61.05/26.48 | (452) sdtpldt0(xn, all_20_1_24) = all_28_0_37
% 61.05/26.48 |
% 61.05/26.48 | From (355) and (198) follows:
% 61.05/26.48 | (60) sdtpldt0(xn, xm) = all_0_10_10
% 61.05/26.48 |
% 61.05/26.48 | From (398) and (167) follows:
% 61.05/26.48 | (157) aNaturalNumber0(all_0_2_2) = all_22_2_30
% 61.05/26.48 |
% 61.05/26.48 | From (397) and (179) follows:
% 61.05/26.49 | (154) aNaturalNumber0(all_0_4_4) = all_20_4_27
% 61.05/26.49 |
% 61.05/26.49 | From (429) and (135) follows:
% 61.05/26.49 | (129) aNaturalNumber0(all_0_10_10) = all_12_0_11
% 61.05/26.49 |
% 61.05/26.49 | From (347) and (237) follows:
% 61.05/26.49 | (8) aNaturalNumber0(xr) = 0
% 61.05/26.49 |
% 61.05/26.49 | From (427) and (136) follows:
% 61.05/26.49 | (69) aNaturalNumber0(xp) = 0
% 61.05/26.49 |
% 61.05/26.49 | From (424) and (130) follows:
% 61.05/26.49 | (12) aNaturalNumber0(xm) = 0
% 61.05/26.49 |
% 61.05/26.49 | From (426) and (131) follows:
% 61.05/26.49 | (20) aNaturalNumber0(xn) = 0
% 61.05/26.49 |
% 61.05/26.49 +-Applying beta-rule and splitting (172), into two cases.
% 61.05/26.49 |-Branch one:
% 61.05/26.49 | (461) ~ (all_28_2_39 = 0)
% 61.05/26.49 |
% 61.05/26.49 | Equations (379) can reduce 461 to:
% 61.05/26.49 | (241) $false
% 61.05/26.49 |
% 61.05/26.49 |-The branch is then unsatisfiable
% 61.05/26.49 |-Branch two:
% 61.05/26.49 | (379) all_28_2_39 = 0
% 61.05/26.49 | (464) ~ (all_28_3_40 = 0) | ~ (all_28_4_41 = 0) | all_28_0_37 = all_0_9_9
% 61.05/26.49 |
% 61.05/26.49 +-Applying beta-rule and splitting (464), into two cases.
% 61.05/26.49 |-Branch one:
% 61.05/26.49 | (465) ~ (all_28_3_40 = 0)
% 61.05/26.49 |
% 61.05/26.49 | Equations (438) can reduce 465 to:
% 61.05/26.49 | (241) $false
% 61.05/26.49 |
% 61.05/26.49 |-The branch is then unsatisfiable
% 61.05/26.49 |-Branch two:
% 61.05/26.49 | (438) all_28_3_40 = 0
% 61.05/26.49 | (468) ~ (all_28_4_41 = 0) | all_28_0_37 = all_0_9_9
% 61.05/26.49 |
% 61.05/26.49 +-Applying beta-rule and splitting (147), into two cases.
% 61.05/26.49 |-Branch one:
% 61.05/26.49 | (469) ~ (all_18_1_21 = 0)
% 61.05/26.49 |
% 61.05/26.49 | Equations (336) can reduce 469 to:
% 61.05/26.49 | (241) $false
% 61.05/26.49 |
% 61.05/26.49 |-The branch is then unsatisfiable
% 61.05/26.49 |-Branch two:
% 61.05/26.49 | (336) all_18_1_21 = 0
% 61.05/26.49 | (472) ~ (all_18_2_22 = 0) | all_18_0_20 = all_0_10_10
% 61.05/26.49 |
% 61.05/26.49 +-Applying beta-rule and splitting (472), into two cases.
% 61.05/26.49 |-Branch one:
% 61.05/26.49 | (473) ~ (all_18_2_22 = 0)
% 61.05/26.49 |
% 61.05/26.49 | Equations (416) can reduce 473 to:
% 61.05/26.49 | (241) $false
% 61.05/26.49 |
% 61.05/26.49 |-The branch is then unsatisfiable
% 61.05/26.49 |-Branch two:
% 61.05/26.49 | (416) all_18_2_22 = 0
% 61.05/26.49 | (476) all_18_0_20 = all_0_10_10
% 61.05/26.49 |
% 61.05/26.49 | From (476) and (144) follows:
% 61.05/26.49 | (477) sdtpldt0(xm, xn) = all_0_10_10
% 61.05/26.49 |
% 61.05/26.49 +-Applying beta-rule and splitting (213), into two cases.
% 61.05/26.49 |-Branch one:
% 61.05/26.49 | (478) all_42_0_66 = xp & all_42_1_67 = 0 & sdtpldt0(xm, all_42_2_68) = xp & aNaturalNumber0(all_42_2_68) = 0
% 61.05/26.49 |
% 61.05/26.49 | Applying alpha-rule on (478) yields:
% 61.05/26.49 | (479) all_42_0_66 = xp
% 61.05/26.49 | (480) all_42_1_67 = 0
% 61.05/26.49 | (481) sdtpldt0(xm, all_42_2_68) = xp
% 61.05/26.49 | (482) aNaturalNumber0(all_42_2_68) = 0
% 61.05/26.49 |
% 61.05/26.49 +-Applying beta-rule and splitting (300), into two cases.
% 61.05/26.49 |-Branch one:
% 61.05/26.49 | (483) ~ (sdtpldt0(all_0_10_10, xp) = all_36_3_54)
% 61.05/26.49 |
% 61.05/26.49 | Using (449) and (483) yields:
% 61.05/26.49 | (484) $false
% 61.05/26.49 |
% 61.05/26.49 |-The branch is then unsatisfiable
% 61.05/26.49 |-Branch two:
% 61.05/26.49 | (449) sdtpldt0(all_0_10_10, xp) = all_36_3_54
% 61.05/26.49 | (486) all_36_3_54 = all_0_9_9
% 61.05/26.49 |
% 61.05/26.49 | From (486) and (449) follows:
% 61.05/26.49 | (49) sdtpldt0(all_0_10_10, xp) = all_0_9_9
% 61.05/26.49 |
% 61.05/26.49 +-Applying beta-rule and splitting (238), into two cases.
% 61.05/26.49 |-Branch one:
% 61.05/26.49 | (488) all_54_0_108 = xn & all_54_1_109 = 0 & sdtasdt0(xr, all_54_2_110) = xn & aNaturalNumber0(all_54_2_110) = 0
% 61.05/26.49 |
% 61.05/26.49 | Applying alpha-rule on (488) yields:
% 61.05/26.49 | (489) all_54_0_108 = xn
% 61.05/26.49 | (490) all_54_1_109 = 0
% 61.05/26.49 | (491) sdtasdt0(xr, all_54_2_110) = xn
% 61.05/26.49 | (492) aNaturalNumber0(all_54_2_110) = 0
% 61.05/26.49 |
% 61.05/26.49 +-Applying beta-rule and splitting (468), into two cases.
% 61.05/26.49 |-Branch one:
% 61.05/26.49 | (493) ~ (all_28_4_41 = 0)
% 61.05/26.49 |
% 61.05/26.49 | Equations (349) can reduce 493 to:
% 61.05/26.49 | (241) $false
% 61.05/26.49 |
% 61.05/26.49 |-The branch is then unsatisfiable
% 61.05/26.49 |-Branch two:
% 61.05/26.49 | (349) all_28_4_41 = 0
% 61.05/26.49 | (496) all_28_0_37 = all_0_9_9
% 61.05/26.49 |
% 61.05/26.49 | From (496) and (452) follows:
% 61.05/26.49 | (497) sdtpldt0(xn, all_20_1_24) = all_0_9_9
% 61.05/26.49 |
% 61.05/26.49 +-Applying beta-rule and splitting (132), into two cases.
% 61.05/26.49 |-Branch one:
% 61.05/26.49 | (498) ~ (all_12_1_12 = 0)
% 61.05/26.49 |
% 61.05/26.49 | Equations (424) can reduce 498 to:
% 61.05/26.49 | (241) $false
% 61.05/26.49 |
% 61.05/26.49 |-The branch is then unsatisfiable
% 61.05/26.49 |-Branch two:
% 61.05/26.49 | (424) all_12_1_12 = 0
% 61.05/26.49 | (501) ~ (all_12_2_13 = 0) | all_12_0_11 = 0
% 61.05/26.49 |
% 61.05/26.49 +-Applying beta-rule and splitting (299), into two cases.
% 61.05/26.49 |-Branch one:
% 61.05/26.49 | (502) ~ (sdtpldt0(all_0_2_2, xp) = all_46_3_81)
% 61.05/26.49 |
% 61.05/26.49 | Using (448) and (502) yields:
% 61.05/26.49 | (484) $false
% 61.05/26.49 |
% 61.05/26.49 |-The branch is then unsatisfiable
% 61.05/26.49 |-Branch two:
% 61.05/26.49 | (448) sdtpldt0(all_0_2_2, xp) = all_46_3_81
% 61.05/26.49 | (505) all_46_3_81 = all_0_1_1
% 61.05/26.49 |
% 61.05/26.49 | From (505) and (448) follows:
% 61.05/26.49 | (39) sdtpldt0(all_0_2_2, xp) = all_0_1_1
% 61.05/26.49 |
% 61.05/26.49 +-Applying beta-rule and splitting (501), into two cases.
% 61.05/26.49 |-Branch one:
% 61.05/26.49 | (507) ~ (all_12_2_13 = 0)
% 61.05/26.49 |
% 61.05/26.49 | Equations (426) can reduce 507 to:
% 61.05/26.49 | (241) $false
% 61.05/26.49 |
% 61.05/26.49 |-The branch is then unsatisfiable
% 61.05/26.49 |-Branch two:
% 61.05/26.49 | (426) all_12_2_13 = 0
% 61.05/26.49 | (510) all_12_0_11 = 0
% 61.05/26.49 |
% 61.05/26.49 | Combining equations (510,314) yields a new equation:
% 61.05/26.49 | (511) all_16_2_19 = 0
% 61.05/26.49 |
% 61.05/26.49 | From (510) and (129) follows:
% 61.05/26.49 | (512) aNaturalNumber0(all_0_10_10) = 0
% 61.05/26.49 |
% 61.05/26.49 +-Applying beta-rule and splitting (142), into two cases.
% 61.05/26.49 |-Branch one:
% 61.05/26.49 | (513) ~ (all_16_1_18 = 0)
% 61.05/26.49 |
% 61.05/26.49 | Equations (419) can reduce 513 to:
% 61.05/26.49 | (241) $false
% 61.05/26.49 |
% 61.05/26.49 |-The branch is then unsatisfiable
% 61.05/26.49 |-Branch two:
% 61.05/26.49 | (419) all_16_1_18 = 0
% 61.05/26.49 | (516) ~ (all_16_2_19 = 0) | all_16_0_17 = all_0_9_9
% 61.05/26.49 |
% 61.05/26.49 +-Applying beta-rule and splitting (516), into two cases.
% 61.05/26.49 |-Branch one:
% 61.05/26.49 | (517) ~ (all_16_2_19 = 0)
% 61.05/26.49 |
% 61.05/26.49 | Equations (511) can reduce 517 to:
% 61.05/26.49 | (241) $false
% 61.05/26.49 |
% 61.05/26.49 |-The branch is then unsatisfiable
% 61.05/26.49 |-Branch two:
% 61.05/26.49 | (511) all_16_2_19 = 0
% 61.05/26.49 | (520) all_16_0_17 = all_0_9_9
% 61.05/26.49 |
% 61.05/26.49 | From (520) and (139) follows:
% 61.05/26.49 | (521) sdtpldt0(xp, all_0_10_10) = all_0_9_9
% 61.05/26.49 |
% 61.05/26.49 +-Applying beta-rule and splitting (225), into two cases.
% 61.05/26.49 |-Branch one:
% 61.05/26.49 | (522) all_48_0_87 = xp & all_48_1_88 = 0 & sdtpldt0(xn, all_48_2_89) = xp & aNaturalNumber0(all_48_2_89) = 0
% 61.05/26.49 |
% 61.05/26.49 | Applying alpha-rule on (522) yields:
% 61.05/26.49 | (523) all_48_0_87 = xp
% 61.05/26.49 | (524) all_48_1_88 = 0
% 61.05/26.49 | (525) sdtpldt0(xn, all_48_2_89) = xp
% 61.05/26.49 | (526) aNaturalNumber0(all_48_2_89) = 0
% 61.05/26.49 |
% 61.05/26.49 +-Applying beta-rule and splitting (164), into two cases.
% 61.05/26.49 |-Branch one:
% 61.05/26.49 | (527) ~ (all_24_1_32 = 0)
% 61.05/26.49 |
% 61.05/26.49 | Equations (435) can reduce 527 to:
% 61.05/26.49 | (241) $false
% 61.05/26.49 |
% 61.05/26.49 |-The branch is then unsatisfiable
% 61.05/26.49 |-Branch two:
% 61.05/26.49 | (435) all_24_1_32 = 0
% 61.05/26.49 | (530) ~ (all_24_2_33 = 0) | all_24_0_31 = 0
% 61.05/26.49 |
% 61.05/26.49 +-Applying beta-rule and splitting (191), into two cases.
% 61.05/26.49 |-Branch one:
% 61.05/26.49 | (531) ~ (all_34_1_49 = 0)
% 61.05/26.49 |
% 61.05/26.49 | Equations (442) can reduce 531 to:
% 61.05/26.49 | (241) $false
% 61.05/26.49 |
% 61.05/26.49 |-The branch is then unsatisfiable
% 61.05/26.49 |-Branch two:
% 61.05/26.49 | (442) all_34_1_49 = 0
% 61.05/26.49 | (534) ~ (all_34_2_50 = 0) | all_34_0_48 = all_0_8_8
% 61.05/26.49 |
% 61.05/26.49 +-Applying beta-rule and splitting (530), into two cases.
% 61.05/26.49 |-Branch one:
% 61.05/26.49 | (535) ~ (all_24_2_33 = 0)
% 61.05/26.49 |
% 61.05/26.50 | Equations (408) can reduce 535 to:
% 61.05/26.50 | (241) $false
% 61.05/26.50 |
% 61.05/26.50 |-The branch is then unsatisfiable
% 61.05/26.50 |-Branch two:
% 61.05/26.50 | (408) all_24_2_33 = 0
% 61.05/26.50 | (538) all_24_0_31 = 0
% 61.05/26.50 |
% 61.05/26.50 | From (538) and (161) follows:
% 61.05/26.50 | (539) aNaturalNumber0(all_0_8_8) = 0
% 61.05/26.50 |
% 61.05/26.50 +-Applying beta-rule and splitting (239), into two cases.
% 61.05/26.50 |-Branch one:
% 61.05/26.50 | (540) all_55_0_111 = all_0_8_8 & all_55_1_112 = 0 & sdtasdt0(xr, all_55_2_113) = all_0_8_8 & aNaturalNumber0(all_55_2_113) = 0
% 61.05/26.50 |
% 61.05/26.50 | Applying alpha-rule on (540) yields:
% 61.05/26.50 | (541) all_55_0_111 = all_0_8_8
% 61.05/26.50 | (542) all_55_1_112 = 0
% 61.05/26.50 | (543) sdtasdt0(xr, all_55_2_113) = all_0_8_8
% 61.05/26.50 | (544) aNaturalNumber0(all_55_2_113) = 0
% 61.05/26.50 |
% 61.05/26.50 +-Applying beta-rule and splitting (226), into two cases.
% 61.05/26.50 |-Branch one:
% 61.05/26.50 | (545) all_49_0_90 = all_0_8_8 & all_49_1_91 = 0 & sdtasdt0(xp, all_49_2_92) = all_0_8_8 & aNaturalNumber0(all_49_2_92) = 0
% 61.05/26.50 |
% 61.05/26.50 | Applying alpha-rule on (545) yields:
% 61.05/26.50 | (546) all_49_0_90 = all_0_8_8
% 61.05/26.50 | (547) all_49_1_91 = 0
% 61.05/26.50 | (548) sdtasdt0(xp, all_49_2_92) = all_0_8_8
% 61.05/26.50 | (549) aNaturalNumber0(all_49_2_92) = 0
% 61.05/26.50 |
% 61.05/26.50 +-Applying beta-rule and splitting (534), into two cases.
% 61.05/26.50 |-Branch one:
% 61.05/26.50 | (550) ~ (all_34_2_50 = 0)
% 61.05/26.50 |
% 61.05/26.50 | Equations (441) can reduce 550 to:
% 61.05/26.50 | (241) $false
% 61.05/26.50 |
% 61.05/26.50 |-The branch is then unsatisfiable
% 61.05/26.50 |-Branch two:
% 61.05/26.50 | (441) all_34_2_50 = 0
% 61.05/26.50 | (553) all_34_0_48 = all_0_8_8
% 61.05/26.50 |
% 61.05/26.50 | From (553) and (188) follows:
% 61.05/26.50 | (554) sdtasdt0(xm, xn) = all_0_8_8
% 61.05/26.50 |
% 61.05/26.50 | Instantiating formula (6) with all_87_0_124, xp and discharging atoms isPrime0(xp) = 0, doDivides0(all_87_0_124, xp) = 0, yields:
% 61.05/26.50 | (555) all_87_0_124 = xp | all_87_0_124 = sz10 | ? [v0] : (( ~ (v0 = 0) & aNaturalNumber0(all_87_0_124) = v0) | ( ~ (v0 = 0) & aNaturalNumber0(xp) = v0))
% 61.05/26.50 |
% 61.05/26.50 | Instantiating formula (30) with xp, all_87_0_124 and discharging atoms doDivides0(all_87_0_124, xp) = 0, yields:
% 61.05/26.50 | (556) xp = sz00 | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_87_0_124, xp) = v2 & aNaturalNumber0(all_87_0_124) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 61.05/26.50 |
% 61.05/26.50 | Instantiating formula (6) with all_82_0_123, xr and discharging atoms isPrime0(xr) = 0, doDivides0(all_82_0_123, xr) = 0, yields:
% 61.05/26.50 | (557) all_82_0_123 = xr | all_82_0_123 = sz10 | ? [v0] : (( ~ (v0 = 0) & aNaturalNumber0(all_82_0_123) = v0) | ( ~ (v0 = 0) & aNaturalNumber0(xr) = v0))
% 61.05/26.50 |
% 61.05/26.50 | Instantiating formula (30) with xr, all_82_0_123 and discharging atoms doDivides0(all_82_0_123, xr) = 0, yields:
% 61.05/26.50 | (558) xr = sz00 | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_82_0_123, xr) = v2 & aNaturalNumber0(all_82_0_123) = v0 & aNaturalNumber0(xr) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 61.05/26.50 |
% 61.05/26.50 | Instantiating formula (43) with all_65_0_117, all_0_4_4, xp, xn and discharging atoms sdtlseqdt0(xn, all_0_4_4) = all_65_0_117, sdtlseqdt0(xn, xp) = 0, yields:
% 61.05/26.50 | (559) all_65_0_117 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtlseqdt0(xp, all_0_4_4) = v3 & aNaturalNumber0(all_0_4_4) = v2 & aNaturalNumber0(xp) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 61.05/26.50 |
% 61.05/26.50 | Instantiating formula (15) with all_0_8_8, xr, all_55_2_113, xr and discharging atoms doDivides0(xr, all_0_8_8) = 0, sdtasdt0(xr, all_55_2_113) = all_0_8_8, yields:
% 61.05/26.50 | (560) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (isPrime0(xr) = v3 & doDivides0(xr, all_55_2_113) = v8 & doDivides0(xr, xr) = v7 & iLess0(v5, all_0_9_9) = v6 & sdtpldt0(v4, xr) = v5 & sdtpldt0(xr, all_55_2_113) = v4 & aNaturalNumber0(all_55_2_113) = v1 & aNaturalNumber0(xr) = v2 & aNaturalNumber0(xr) = v0 & ( ~ (v6 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0))
% 61.05/26.50 |
% 61.05/26.50 | Instantiating formula (15) with all_0_8_8, xp, all_55_2_113, xr and discharging atoms doDivides0(xp, all_0_8_8) = 0, sdtasdt0(xr, all_55_2_113) = all_0_8_8, yields:
% 61.05/26.50 | (561) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (isPrime0(xp) = v3 & doDivides0(xp, all_55_2_113) = v8 & doDivides0(xp, xr) = v7 & iLess0(v5, all_0_9_9) = v6 & sdtpldt0(v4, xp) = v5 & sdtpldt0(xr, all_55_2_113) = v4 & aNaturalNumber0(all_55_2_113) = v1 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xp) = v2 & ( ~ (v6 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0))
% 61.05/26.50 |
% 61.05/26.50 | Instantiating formula (23) with all_0_8_8, all_55_2_113, xr and discharging atoms sdtasdt0(xr, all_55_2_113) = all_0_8_8, yields:
% 61.05/26.50 | (562) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_55_2_113, xr) = v2 & aNaturalNumber0(all_55_2_113) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_8_8))
% 61.05/26.50 |
% 61.05/26.50 | Instantiating formula (66) with all_54_2_110, all_0_4_4, xn, xr and discharging atoms sdtsldt0(xn, xr) = all_0_4_4, sdtasdt0(xr, all_54_2_110) = xn, yields:
% 61.05/26.50 | (563) all_54_2_110 = all_0_4_4 | xr = sz00 | ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & aNaturalNumber0(all_54_2_110) = v0) | (doDivides0(xr, xn) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 61.05/26.50 |
% 61.05/26.50 | Instantiating formula (3) with all_0_8_8, xn, xm, all_54_2_110, xr and discharging atoms sdtasdt0(xr, all_54_2_110) = xn, sdtasdt0(xn, xm) = all_0_8_8, yields:
% 61.05/26.50 | (564) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_54_2_110, xm) = v3 & sdtasdt0(xr, v3) = v4 & aNaturalNumber0(all_54_2_110) = v1 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xm) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_8_8))
% 61.05/26.50 |
% 61.05/26.50 | Instantiating formula (15) with xn, xr, all_54_2_110, xr and discharging atoms doDivides0(xr, xn) = 0, sdtasdt0(xr, all_54_2_110) = xn, yields:
% 61.05/26.50 | (565) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (isPrime0(xr) = v3 & doDivides0(xr, all_54_2_110) = v8 & doDivides0(xr, xr) = v7 & iLess0(v5, all_0_9_9) = v6 & sdtpldt0(v4, xr) = v5 & sdtpldt0(xr, all_54_2_110) = v4 & aNaturalNumber0(all_54_2_110) = v1 & aNaturalNumber0(xr) = v2 & aNaturalNumber0(xr) = v0 & ( ~ (v6 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0))
% 61.05/26.50 |
% 61.05/26.50 | Instantiating formula (23) with xn, all_54_2_110, xr and discharging atoms sdtasdt0(xr, all_54_2_110) = xn, yields:
% 61.05/26.50 | (566) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_54_2_110, xr) = v2 & aNaturalNumber0(all_54_2_110) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = xn))
% 61.05/26.50 |
% 61.05/26.50 | Instantiating formula (15) with all_0_8_8, xr, all_49_2_92, xp and discharging atoms doDivides0(xr, all_0_8_8) = 0, sdtasdt0(xp, all_49_2_92) = all_0_8_8, yields:
% 61.05/26.50 | (567) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (isPrime0(xr) = v3 & doDivides0(xr, all_49_2_92) = v8 & doDivides0(xr, xp) = v7 & iLess0(v5, all_0_9_9) = v6 & sdtpldt0(v4, xr) = v5 & sdtpldt0(xp, all_49_2_92) = v4 & aNaturalNumber0(all_49_2_92) = v1 & aNaturalNumber0(xr) = v2 & aNaturalNumber0(xp) = v0 & ( ~ (v6 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0))
% 61.05/26.50 |
% 61.05/26.50 | Instantiating formula (15) with all_0_8_8, xp, all_49_2_92, xp and discharging atoms doDivides0(xp, all_0_8_8) = 0, sdtasdt0(xp, all_49_2_92) = all_0_8_8, yields:
% 61.05/26.50 | (568) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (isPrime0(xp) = v3 & doDivides0(xp, all_49_2_92) = v8 & doDivides0(xp, xp) = v7 & iLess0(v5, all_0_9_9) = v6 & sdtpldt0(v4, xp) = v5 & sdtpldt0(xp, all_49_2_92) = v4 & aNaturalNumber0(all_49_2_92) = v1 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xp) = v0 & ( ~ (v6 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0))
% 61.05/26.50 |
% 61.05/26.50 | Instantiating formula (23) with all_0_8_8, all_49_2_92, xp and discharging atoms sdtasdt0(xp, all_49_2_92) = all_0_8_8, yields:
% 61.05/26.50 | (569) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_49_2_92, xp) = v2 & aNaturalNumber0(all_49_2_92) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_8_8))
% 61.05/26.50 |
% 61.05/26.50 | Instantiating formula (15) with all_0_3_3, xp, all_0_4_4, xm and discharging atoms doDivides0(xp, all_0_3_3) = 0, yields:
% 61.05/26.50 | (570) ~ (sdtasdt0(xm, all_0_4_4) = all_0_3_3) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (isPrime0(xp) = v3 & doDivides0(xp, all_0_4_4) = v8 & doDivides0(xp, xm) = v7 & iLess0(v5, all_0_9_9) = v6 & sdtpldt0(v4, xp) = v5 & sdtpldt0(xm, all_0_4_4) = v4 & aNaturalNumber0(all_0_4_4) = v1 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v0 & ( ~ (v6 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0))
% 61.05/26.50 |
% 61.05/26.50 | Instantiating formula (23) with all_40_0_63, all_0_4_4, xm and discharging atoms sdtasdt0(xm, all_0_4_4) = all_40_0_63, yields:
% 61.05/26.50 | (571) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_0_4_4, xm) = v2 & aNaturalNumber0(all_0_4_4) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_40_0_63))
% 61.05/26.50 |
% 61.05/26.50 | Instantiating formula (44) with all_40_0_63, all_0_4_4, xm and discharging atoms sdtasdt0(xm, all_0_4_4) = all_40_0_63, yields:
% 61.05/26.50 | (572) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_40_0_63) = v2 & aNaturalNumber0(all_0_4_4) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 61.05/26.50 |
% 61.05/26.50 | Instantiating formula (15) with all_0_8_8, xp, xn, xm and discharging atoms doDivides0(xp, all_0_8_8) = 0, sdtasdt0(xm, xn) = all_0_8_8, yields:
% 61.05/26.50 | (573) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (isPrime0(xp) = v3 & doDivides0(xp, xm) = v7 & doDivides0(xp, xn) = v8 & iLess0(v5, all_0_9_9) = v6 & sdtpldt0(v4, xp) = v5 & sdtpldt0(xm, xn) = v4 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v6 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0))
% 61.05/26.50 |
% 61.05/26.50 | Instantiating formula (35) with all_20_0_23, all_20_1_24, all_0_4_4 and discharging atoms sdtpldt0(all_0_4_4, all_20_1_24) = all_20_0_23, yields:
% 61.05/26.50 | (574) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_20_1_24, all_0_4_4) = v2 & aNaturalNumber0(all_20_1_24) = v1 & aNaturalNumber0(all_0_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_20_0_23))
% 61.05/26.50 |
% 61.05/26.50 | Instantiating formula (7) with all_20_0_23, all_20_1_24, all_0_4_4 and discharging atoms sdtpldt0(all_0_4_4, all_20_1_24) = all_20_0_23, yields:
% 61.05/26.50 | (575) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_20_0_23) = v2 & aNaturalNumber0(all_20_1_24) = v1 & aNaturalNumber0(all_0_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 61.05/26.50 |
% 61.05/26.50 | Instantiating formula (89) with all_51_3_99, all_0_10_10, xr, xm, xn and discharging atoms sdtpldt0(all_0_10_10, xr) = all_51_3_99, sdtpldt0(xn, xm) = all_0_10_10, yields:
% 61.05/26.50 | (576) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(xm, xr) = v3 & sdtpldt0(xn, v3) = v4 & aNaturalNumber0(xr) = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_51_3_99))
% 61.05/26.50 |
% 61.05/26.50 | Instantiating formula (35) with all_51_3_99, xr, all_0_10_10 and discharging atoms sdtpldt0(all_0_10_10, xr) = all_51_3_99, yields:
% 61.05/26.50 | (577) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(xr, all_0_10_10) = v2 & aNaturalNumber0(all_0_10_10) = v0 & aNaturalNumber0(xr) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_51_3_99))
% 61.05/26.51 |
% 61.05/26.51 | Instantiating formula (7) with all_51_3_99, xr, all_0_10_10 and discharging atoms sdtpldt0(all_0_10_10, xr) = all_51_3_99, yields:
% 61.05/26.51 | (578) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_51_3_99) = v2 & aNaturalNumber0(all_0_10_10) = v0 & aNaturalNumber0(xr) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 61.05/26.51 |
% 61.05/26.51 | Instantiating formula (35) with all_26_0_34, all_0_2_2, xp and discharging atoms sdtpldt0(xp, all_0_2_2) = all_26_0_34, yields:
% 61.05/26.51 | (579) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_0_2_2, xp) = v2 & aNaturalNumber0(all_0_2_2) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_26_0_34))
% 61.05/26.51 |
% 61.05/26.51 | Instantiating formula (7) with all_26_0_34, all_0_2_2, xp and discharging atoms sdtpldt0(xp, all_0_2_2) = all_26_0_34, yields:
% 61.05/26.51 | (580) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_26_0_34) = v2 & aNaturalNumber0(all_0_2_2) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 61.05/26.51 |
% 61.05/26.51 | Instantiating formula (55) with all_26_0_34, all_0_9_9, all_0_2_2, all_0_10_10, xp and discharging atoms sdtpldt0(xp, all_0_2_2) = all_26_0_34, sdtpldt0(xp, all_0_10_10) = all_0_9_9, yields:
% 61.05/26.51 | (581) all_0_2_2 = all_0_10_10 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_2_2, xp) = v4 & sdtpldt0(all_0_10_10, xp) = v3 & aNaturalNumber0(all_0_2_2) = v2 & aNaturalNumber0(all_0_10_10) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v4 = v3) & ~ (all_26_0_34 = all_0_9_9))))
% 61.05/26.51 |
% 61.05/26.51 | Instantiating formula (75) with xp, all_42_2_68, xm, all_87_0_124 and discharging atoms doDivides0(all_87_0_124, xp) = 0, sdtpldt0(xm, all_42_2_68) = xp, yields:
% 61.05/26.51 | (582) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(all_87_0_124, all_42_2_68) = v4 & doDivides0(all_87_0_124, xm) = v3 & aNaturalNumber0(all_87_0_124) = v0 & aNaturalNumber0(all_42_2_68) = v2 & aNaturalNumber0(xm) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 61.05/26.51 |
% 61.05/26.51 | Instantiating formula (89) with all_26_0_34, xp, all_0_2_2, all_42_2_68, xm and discharging atoms sdtpldt0(xp, all_0_2_2) = all_26_0_34, sdtpldt0(xm, all_42_2_68) = xp, yields:
% 61.05/26.51 | (583) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_42_2_68, all_0_2_2) = v3 & sdtpldt0(xm, v3) = v4 & aNaturalNumber0(all_42_2_68) = v1 & aNaturalNumber0(all_0_2_2) = v2 & aNaturalNumber0(xm) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_26_0_34))
% 61.05/26.51 |
% 61.05/26.51 | Instantiating formula (89) with all_0_9_9, xp, all_0_10_10, all_42_2_68, xm and discharging atoms sdtpldt0(xp, all_0_10_10) = all_0_9_9, sdtpldt0(xm, all_42_2_68) = xp, yields:
% 61.05/26.51 | (584) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_42_2_68, all_0_10_10) = v3 & sdtpldt0(xm, v3) = v4 & aNaturalNumber0(all_42_2_68) = v1 & aNaturalNumber0(all_0_10_10) = v2 & aNaturalNumber0(xm) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_9_9))
% 61.05/26.51 |
% 61.05/26.51 | Instantiating formula (35) with xp, all_42_2_68, xm and discharging atoms sdtpldt0(xm, all_42_2_68) = xp, yields:
% 61.05/26.51 | (585) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_42_2_68, xm) = v2 & aNaturalNumber0(all_42_2_68) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = xp))
% 61.05/26.51 |
% 61.05/26.51 | Instantiating formula (89) with all_0_1_1, all_0_2_2, xp, all_0_4_4, xm and discharging atoms sdtpldt0(all_0_2_2, xp) = all_0_1_1, yields:
% 61.05/26.51 | (586) ~ (sdtpldt0(xm, all_0_4_4) = all_0_2_2) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_4_4, xp) = v3 & sdtpldt0(xm, v3) = v4 & aNaturalNumber0(all_0_4_4) = v1 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_1_1))
% 61.05/26.51 |
% 61.05/26.51 | Instantiating formula (35) with all_32_0_45, all_0_4_4, xm and discharging atoms sdtpldt0(xm, all_0_4_4) = all_32_0_45, yields:
% 61.05/26.51 | (587) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_0_4_4, xm) = v2 & aNaturalNumber0(all_0_4_4) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_32_0_45))
% 61.05/26.51 |
% 61.05/26.51 | Instantiating formula (7) with all_32_0_45, all_0_4_4, xm and discharging atoms sdtpldt0(xm, all_0_4_4) = all_32_0_45, yields:
% 61.05/26.51 | (588) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_32_0_45) = v2 & aNaturalNumber0(all_0_4_4) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 61.05/26.51 |
% 61.05/26.51 | Instantiating formula (35) with all_20_1_24, xp, xm and discharging atoms sdtpldt0(xm, xp) = all_20_1_24, yields:
% 61.05/26.51 | (589) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(xp, xm) = v2 & aNaturalNumber0(xp) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_20_1_24))
% 61.05/26.51 |
% 61.05/26.51 | Instantiating formula (7) with all_20_1_24, xp, xm and discharging atoms sdtpldt0(xm, xp) = all_20_1_24, yields:
% 61.05/26.51 | (590) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_20_1_24) = v2 & aNaturalNumber0(xp) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 61.05/26.51 |
% 61.05/26.51 | Instantiating formula (89) with all_0_9_9, all_0_10_10, xp, xn, xm and discharging atoms sdtpldt0(all_0_10_10, xp) = all_0_9_9, sdtpldt0(xm, xn) = all_0_10_10, yields:
% 61.05/26.51 | (591) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(xm, v3) = v4 & sdtpldt0(xn, xp) = v3 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_9_9))
% 61.05/26.51 |
% 61.05/26.51 | Instantiating formula (89) with all_51_3_99, all_0_10_10, xr, xn, xm and discharging atoms sdtpldt0(all_0_10_10, xr) = all_51_3_99, sdtpldt0(xm, xn) = all_0_10_10, yields:
% 61.05/26.51 | (592) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(xm, v3) = v4 & sdtpldt0(xn, xr) = v3 & aNaturalNumber0(xr) = v2 & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_51_3_99))
% 61.05/26.51 |
% 61.05/26.51 | Instantiating formula (55) with all_0_10_10, all_32_0_45, xn, all_0_4_4, xm and discharging atoms sdtpldt0(xm, all_0_4_4) = all_32_0_45, sdtpldt0(xm, xn) = all_0_10_10, yields:
% 61.05/26.51 | (593) all_0_4_4 = xn | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_4_4, xm) = v3 & sdtpldt0(xn, xm) = v4 & aNaturalNumber0(all_0_4_4) = v1 & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v4 = v3) & ~ (all_32_0_45 = all_0_10_10))))
% 61.05/26.51 |
% 61.05/26.51 | Instantiating formula (55) with all_32_0_45, all_0_10_10, all_0_4_4, xn, xm and discharging atoms sdtpldt0(xm, all_0_4_4) = all_32_0_45, sdtpldt0(xm, xn) = all_0_10_10, yields:
% 61.05/26.51 | (594) all_0_4_4 = xn | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_4_4, xm) = v4 & sdtpldt0(xn, xm) = v3 & aNaturalNumber0(all_0_4_4) = v2 & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v4 = v3) & ~ (all_32_0_45 = all_0_10_10))))
% 61.05/26.51 |
% 61.05/26.51 | Instantiating formula (55) with all_0_10_10, all_20_1_24, xn, xp, xm and discharging atoms sdtpldt0(xm, xp) = all_20_1_24, sdtpldt0(xm, xn) = all_0_10_10, yields:
% 61.05/26.51 | (595) xp = xn | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(xp, xm) = v3 & sdtpldt0(xn, xm) = v4 & aNaturalNumber0(xp) = v1 & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v4 = v3) & ~ (all_20_1_24 = all_0_10_10))))
% 61.05/26.51 |
% 61.05/26.51 | Instantiating formula (55) with all_20_1_24, all_0_10_10, xp, xn, xm and discharging atoms sdtpldt0(xm, xp) = all_20_1_24, sdtpldt0(xm, xn) = all_0_10_10, yields:
% 61.05/26.51 | (596) xp = xn | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(xp, xm) = v4 & sdtpldt0(xn, xm) = v3 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v4 = v3) & ~ (all_20_1_24 = all_0_10_10))))
% 61.05/26.51 |
% 61.05/26.51 | Instantiating formula (75) with xp, all_48_2_89, xn, all_87_0_124 and discharging atoms doDivides0(all_87_0_124, xp) = 0, sdtpldt0(xn, all_48_2_89) = xp, yields:
% 61.05/26.51 | (597) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(all_87_0_124, all_48_2_89) = v4 & doDivides0(all_87_0_124, xn) = v3 & aNaturalNumber0(all_87_0_124) = v0 & aNaturalNumber0(all_48_2_89) = v2 & aNaturalNumber0(xn) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 61.05/26.51 |
% 61.05/26.51 | Instantiating formula (89) with all_26_0_34, xp, all_0_2_2, all_48_2_89, xn and discharging atoms sdtpldt0(xp, all_0_2_2) = all_26_0_34, sdtpldt0(xn, all_48_2_89) = xp, yields:
% 61.05/26.51 | (598) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_48_2_89, all_0_2_2) = v3 & sdtpldt0(xn, v3) = v4 & aNaturalNumber0(all_48_2_89) = v1 & aNaturalNumber0(all_0_2_2) = v2 & aNaturalNumber0(xn) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_26_0_34))
% 61.05/26.51 |
% 61.05/26.51 | Instantiating formula (89) with all_0_9_9, xp, all_0_10_10, all_48_2_89, xn and discharging atoms sdtpldt0(xp, all_0_10_10) = all_0_9_9, sdtpldt0(xn, all_48_2_89) = xp, yields:
% 61.05/26.51 | (599) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_48_2_89, all_0_10_10) = v3 & sdtpldt0(xn, v3) = v4 & aNaturalNumber0(all_48_2_89) = v1 & aNaturalNumber0(all_0_10_10) = v2 & aNaturalNumber0(xn) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_9_9))
% 61.05/26.51 |
% 61.05/26.51 | Instantiating formula (35) with xp, all_48_2_89, xn and discharging atoms sdtpldt0(xn, all_48_2_89) = xp, yields:
% 61.05/26.51 | (600) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_48_2_89, xn) = v2 & aNaturalNumber0(all_48_2_89) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = xp))
% 61.05/26.51 |
% 61.05/26.51 | Instantiating formula (37) with all_0_0_0, all_0_9_9, all_0_1_1, all_20_1_24, xn, all_0_4_4 and discharging atoms sdtlseqdt0(all_0_1_1, all_0_9_9) = all_0_0_0, sdtlseqdt0(all_0_4_4, xn) = 0, sdtpldt0(xn, all_20_1_24) = all_0_9_9, yields:
% 61.05/26.51 | (601) all_0_4_4 = xn | ~ (sdtpldt0(all_0_4_4, all_20_1_24) = all_0_1_1) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ((sdtlseqdt0(v1, v2) = v3 & sdtpldt0(all_20_1_24, all_0_4_4) = v1 & sdtpldt0(all_20_1_24, xn) = v2 & aNaturalNumber0(all_20_1_24) = v0 & ( ~ (v0 = 0) | (v3 = 0 & all_0_0_0 = 0 & ~ (v2 = v1) & ~ (all_0_1_1 = all_0_9_9)))) | (aNaturalNumber0(all_0_4_4) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 61.05/26.51 |
% 61.05/26.51 | Instantiating formula (35) with all_0_9_9, all_20_1_24, xn and discharging atoms sdtpldt0(xn, all_20_1_24) = all_0_9_9, yields:
% 61.05/26.51 | (602) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_20_1_24, xn) = v2 & aNaturalNumber0(all_20_1_24) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_9_9))
% 61.05/26.51 |
% 61.05/26.51 | Instantiating formula (7) with all_0_9_9, all_20_1_24, xn and discharging atoms sdtpldt0(xn, all_20_1_24) = all_0_9_9, yields:
% 61.05/26.51 | (603) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_20_1_24) = v1 & aNaturalNumber0(all_0_9_9) = v2 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 61.05/26.51 |
% 61.05/26.51 | Instantiating formula (46) with all_87_0_124 and discharging atoms aNaturalNumber0(all_87_0_124) = 0, yields:
% 61.05/26.51 | (604) all_87_0_124 = sz10 | all_87_0_124 = sz00 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, all_87_0_124) = 0 & aNaturalNumber0(v0) = 0)
% 61.05/26.51 |
% 61.05/26.51 | Instantiating formula (46) with all_82_0_123 and discharging atoms aNaturalNumber0(all_82_0_123) = 0, yields:
% 61.05/26.51 | (605) all_82_0_123 = sz10 | all_82_0_123 = sz00 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, all_82_0_123) = 0 & aNaturalNumber0(v0) = 0)
% 61.05/26.51 |
% 61.05/26.51 | Instantiating (603) with all_194_0_125, all_194_1_126, all_194_2_127 yields:
% 61.05/26.51 | (606) aNaturalNumber0(all_20_1_24) = all_194_1_126 & aNaturalNumber0(all_0_9_9) = all_194_0_125 & aNaturalNumber0(xn) = all_194_2_127 & ( ~ (all_194_1_126 = 0) | ~ (all_194_2_127 = 0) | all_194_0_125 = 0)
% 61.05/26.51 |
% 61.05/26.51 | Applying alpha-rule on (606) yields:
% 61.05/26.51 | (607) aNaturalNumber0(all_20_1_24) = all_194_1_126
% 61.05/26.51 | (608) aNaturalNumber0(all_0_9_9) = all_194_0_125
% 61.05/26.51 | (609) aNaturalNumber0(xn) = all_194_2_127
% 61.05/26.51 | (610) ~ (all_194_1_126 = 0) | ~ (all_194_2_127 = 0) | all_194_0_125 = 0
% 61.05/26.51 |
% 61.05/26.51 | Instantiating (597) with all_196_0_128, all_196_1_129, all_196_2_130, all_196_3_131, all_196_4_132 yields:
% 61.05/26.51 | (611) doDivides0(all_87_0_124, all_48_2_89) = all_196_0_128 & doDivides0(all_87_0_124, xn) = all_196_1_129 & aNaturalNumber0(all_87_0_124) = all_196_4_132 & aNaturalNumber0(all_48_2_89) = all_196_2_130 & aNaturalNumber0(xn) = all_196_3_131 & ( ~ (all_196_1_129 = 0) | ~ (all_196_2_130 = 0) | ~ (all_196_3_131 = 0) | ~ (all_196_4_132 = 0) | all_196_0_128 = 0)
% 61.05/26.51 |
% 61.05/26.51 | Applying alpha-rule on (611) yields:
% 61.05/26.51 | (612) doDivides0(all_87_0_124, all_48_2_89) = all_196_0_128
% 61.05/26.51 | (613) aNaturalNumber0(xn) = all_196_3_131
% 61.05/26.51 | (614) aNaturalNumber0(all_87_0_124) = all_196_4_132
% 61.05/26.51 | (615) doDivides0(all_87_0_124, xn) = all_196_1_129
% 61.05/26.51 | (616) aNaturalNumber0(all_48_2_89) = all_196_2_130
% 61.05/26.51 | (617) ~ (all_196_1_129 = 0) | ~ (all_196_2_130 = 0) | ~ (all_196_3_131 = 0) | ~ (all_196_4_132 = 0) | all_196_0_128 = 0
% 61.05/26.51 |
% 61.05/26.51 | Instantiating (592) with all_198_0_133, all_198_1_134, all_198_2_135, all_198_3_136, all_198_4_137 yields:
% 61.05/26.51 | (618) sdtpldt0(xm, all_198_1_134) = all_198_0_133 & sdtpldt0(xn, xr) = all_198_1_134 & aNaturalNumber0(xr) = all_198_2_135 & aNaturalNumber0(xm) = all_198_4_137 & aNaturalNumber0(xn) = all_198_3_136 & ( ~ (all_198_2_135 = 0) | ~ (all_198_3_136 = 0) | ~ (all_198_4_137 = 0) | all_198_0_133 = all_51_3_99)
% 61.05/26.51 |
% 61.05/26.51 | Applying alpha-rule on (618) yields:
% 61.05/26.51 | (619) ~ (all_198_2_135 = 0) | ~ (all_198_3_136 = 0) | ~ (all_198_4_137 = 0) | all_198_0_133 = all_51_3_99
% 61.05/26.51 | (620) aNaturalNumber0(xm) = all_198_4_137
% 61.05/26.51 | (621) sdtpldt0(xm, all_198_1_134) = all_198_0_133
% 61.05/26.51 | (622) aNaturalNumber0(xn) = all_198_3_136
% 61.05/26.51 | (623) aNaturalNumber0(xr) = all_198_2_135
% 61.05/26.51 | (624) sdtpldt0(xn, xr) = all_198_1_134
% 61.05/26.51 |
% 61.05/26.51 | Instantiating (588) with all_200_0_138, all_200_1_139, all_200_2_140 yields:
% 61.05/26.51 | (625) aNaturalNumber0(all_32_0_45) = all_200_0_138 & aNaturalNumber0(all_0_4_4) = all_200_1_139 & aNaturalNumber0(xm) = all_200_2_140 & ( ~ (all_200_1_139 = 0) | ~ (all_200_2_140 = 0) | all_200_0_138 = 0)
% 61.05/26.51 |
% 61.05/26.51 | Applying alpha-rule on (625) yields:
% 61.05/26.51 | (626) aNaturalNumber0(all_32_0_45) = all_200_0_138
% 61.05/26.51 | (627) aNaturalNumber0(all_0_4_4) = all_200_1_139
% 61.05/26.52 | (628) aNaturalNumber0(xm) = all_200_2_140
% 61.05/26.52 | (629) ~ (all_200_1_139 = 0) | ~ (all_200_2_140 = 0) | all_200_0_138 = 0
% 61.05/26.52 |
% 61.05/26.52 | Instantiating (585) with all_202_0_141, all_202_1_142, all_202_2_143 yields:
% 61.05/26.52 | (630) sdtpldt0(all_42_2_68, xm) = all_202_0_141 & aNaturalNumber0(all_42_2_68) = all_202_1_142 & aNaturalNumber0(xm) = all_202_2_143 & ( ~ (all_202_1_142 = 0) | ~ (all_202_2_143 = 0) | all_202_0_141 = xp)
% 61.05/26.52 |
% 61.05/26.52 | Applying alpha-rule on (630) yields:
% 61.05/26.52 | (631) sdtpldt0(all_42_2_68, xm) = all_202_0_141
% 61.05/26.52 | (632) aNaturalNumber0(all_42_2_68) = all_202_1_142
% 61.05/26.52 | (633) aNaturalNumber0(xm) = all_202_2_143
% 61.05/26.52 | (634) ~ (all_202_1_142 = 0) | ~ (all_202_2_143 = 0) | all_202_0_141 = xp
% 61.05/26.52 |
% 61.05/26.52 | Instantiating (580) with all_204_0_144, all_204_1_145, all_204_2_146 yields:
% 61.05/26.52 | (635) aNaturalNumber0(all_26_0_34) = all_204_0_144 & aNaturalNumber0(all_0_2_2) = all_204_1_145 & aNaturalNumber0(xp) = all_204_2_146 & ( ~ (all_204_1_145 = 0) | ~ (all_204_2_146 = 0) | all_204_0_144 = 0)
% 61.05/26.52 |
% 61.05/26.52 | Applying alpha-rule on (635) yields:
% 61.05/26.52 | (636) aNaturalNumber0(all_26_0_34) = all_204_0_144
% 61.05/26.52 | (637) aNaturalNumber0(all_0_2_2) = all_204_1_145
% 61.05/26.52 | (638) aNaturalNumber0(xp) = all_204_2_146
% 61.05/26.52 | (639) ~ (all_204_1_145 = 0) | ~ (all_204_2_146 = 0) | all_204_0_144 = 0
% 61.05/26.52 |
% 61.05/26.52 | Instantiating (584) with all_206_0_147, all_206_1_148, all_206_2_149, all_206_3_150, all_206_4_151 yields:
% 61.05/26.52 | (640) sdtpldt0(all_42_2_68, all_0_10_10) = all_206_1_148 & sdtpldt0(xm, all_206_1_148) = all_206_0_147 & aNaturalNumber0(all_42_2_68) = all_206_3_150 & aNaturalNumber0(all_0_10_10) = all_206_2_149 & aNaturalNumber0(xm) = all_206_4_151 & ( ~ (all_206_2_149 = 0) | ~ (all_206_3_150 = 0) | ~ (all_206_4_151 = 0) | all_206_0_147 = all_0_9_9)
% 61.05/26.52 |
% 61.05/26.52 | Applying alpha-rule on (640) yields:
% 61.05/26.52 | (641) aNaturalNumber0(all_0_10_10) = all_206_2_149
% 61.05/26.52 | (642) aNaturalNumber0(xm) = all_206_4_151
% 61.05/26.52 | (643) ~ (all_206_2_149 = 0) | ~ (all_206_3_150 = 0) | ~ (all_206_4_151 = 0) | all_206_0_147 = all_0_9_9
% 61.05/26.52 | (644) sdtpldt0(all_42_2_68, all_0_10_10) = all_206_1_148
% 61.05/26.52 | (645) aNaturalNumber0(all_42_2_68) = all_206_3_150
% 61.05/26.52 | (646) sdtpldt0(xm, all_206_1_148) = all_206_0_147
% 61.05/26.52 |
% 61.05/26.52 | Instantiating (583) with all_208_0_152, all_208_1_153, all_208_2_154, all_208_3_155, all_208_4_156 yields:
% 61.05/26.52 | (647) sdtpldt0(all_42_2_68, all_0_2_2) = all_208_1_153 & sdtpldt0(xm, all_208_1_153) = all_208_0_152 & aNaturalNumber0(all_42_2_68) = all_208_3_155 & aNaturalNumber0(all_0_2_2) = all_208_2_154 & aNaturalNumber0(xm) = all_208_4_156 & ( ~ (all_208_2_154 = 0) | ~ (all_208_3_155 = 0) | ~ (all_208_4_156 = 0) | all_208_0_152 = all_26_0_34)
% 61.05/26.52 |
% 61.05/26.52 | Applying alpha-rule on (647) yields:
% 61.05/26.52 | (648) aNaturalNumber0(xm) = all_208_4_156
% 61.05/26.52 | (649) aNaturalNumber0(all_42_2_68) = all_208_3_155
% 61.05/26.52 | (650) aNaturalNumber0(all_0_2_2) = all_208_2_154
% 61.05/26.52 | (651) ~ (all_208_2_154 = 0) | ~ (all_208_3_155 = 0) | ~ (all_208_4_156 = 0) | all_208_0_152 = all_26_0_34
% 61.05/26.52 | (652) sdtpldt0(all_42_2_68, all_0_2_2) = all_208_1_153
% 61.05/26.52 | (653) sdtpldt0(xm, all_208_1_153) = all_208_0_152
% 61.05/26.52 |
% 61.05/26.52 | Instantiating (591) with all_210_0_157, all_210_1_158, all_210_2_159, all_210_3_160, all_210_4_161 yields:
% 61.05/26.52 | (654) sdtpldt0(xm, all_210_1_158) = all_210_0_157 & sdtpldt0(xn, xp) = all_210_1_158 & aNaturalNumber0(xp) = all_210_2_159 & aNaturalNumber0(xm) = all_210_4_161 & aNaturalNumber0(xn) = all_210_3_160 & ( ~ (all_210_2_159 = 0) | ~ (all_210_3_160 = 0) | ~ (all_210_4_161 = 0) | all_210_0_157 = all_0_9_9)
% 61.05/26.52 |
% 61.05/26.52 | Applying alpha-rule on (654) yields:
% 61.05/26.52 | (655) sdtpldt0(xm, all_210_1_158) = all_210_0_157
% 61.05/26.52 | (656) aNaturalNumber0(xn) = all_210_3_160
% 61.05/26.52 | (657) aNaturalNumber0(xm) = all_210_4_161
% 61.05/26.52 | (658) aNaturalNumber0(xp) = all_210_2_159
% 61.05/26.52 | (659) sdtpldt0(xn, xp) = all_210_1_158
% 61.05/26.52 | (660) ~ (all_210_2_159 = 0) | ~ (all_210_3_160 = 0) | ~ (all_210_4_161 = 0) | all_210_0_157 = all_0_9_9
% 61.05/26.52 |
% 61.05/26.52 | Instantiating (578) with all_212_0_162, all_212_1_163, all_212_2_164 yields:
% 61.05/26.52 | (661) aNaturalNumber0(all_51_3_99) = all_212_0_162 & aNaturalNumber0(all_0_10_10) = all_212_2_164 & aNaturalNumber0(xr) = all_212_1_163 & ( ~ (all_212_1_163 = 0) | ~ (all_212_2_164 = 0) | all_212_0_162 = 0)
% 61.05/26.52 |
% 61.05/26.52 | Applying alpha-rule on (661) yields:
% 61.05/26.52 | (662) aNaturalNumber0(all_51_3_99) = all_212_0_162
% 61.05/26.52 | (663) aNaturalNumber0(all_0_10_10) = all_212_2_164
% 61.05/26.52 | (664) aNaturalNumber0(xr) = all_212_1_163
% 61.05/26.52 | (665) ~ (all_212_1_163 = 0) | ~ (all_212_2_164 = 0) | all_212_0_162 = 0
% 61.05/26.52 |
% 61.05/26.52 | Instantiating (573) with all_214_0_165, all_214_1_166, all_214_2_167, all_214_3_168, all_214_4_169, all_214_5_170, all_214_6_171, all_214_7_172, all_214_8_173 yields:
% 61.05/26.52 | (666) isPrime0(xp) = all_214_5_170 & doDivides0(xp, xm) = all_214_1_166 & doDivides0(xp, xn) = all_214_0_165 & iLess0(all_214_3_168, all_0_9_9) = all_214_2_167 & sdtpldt0(all_214_4_169, xp) = all_214_3_168 & sdtpldt0(xm, xn) = all_214_4_169 & aNaturalNumber0(xp) = all_214_6_171 & aNaturalNumber0(xm) = all_214_8_173 & aNaturalNumber0(xn) = all_214_7_172 & ( ~ (all_214_2_167 = 0) | ~ (all_214_5_170 = 0) | ~ (all_214_6_171 = 0) | ~ (all_214_7_172 = 0) | ~ (all_214_8_173 = 0) | all_214_0_165 = 0 | all_214_1_166 = 0)
% 61.05/26.52 |
% 61.05/26.52 | Applying alpha-rule on (666) yields:
% 61.05/26.52 | (667) doDivides0(xp, xm) = all_214_1_166
% 61.05/26.52 | (668) iLess0(all_214_3_168, all_0_9_9) = all_214_2_167
% 61.05/26.52 | (669) aNaturalNumber0(xp) = all_214_6_171
% 61.05/26.52 | (670) doDivides0(xp, xn) = all_214_0_165
% 61.05/26.52 | (671) aNaturalNumber0(xn) = all_214_7_172
% 61.05/26.52 | (672) isPrime0(xp) = all_214_5_170
% 61.05/26.52 | (673) ~ (all_214_2_167 = 0) | ~ (all_214_5_170 = 0) | ~ (all_214_6_171 = 0) | ~ (all_214_7_172 = 0) | ~ (all_214_8_173 = 0) | all_214_0_165 = 0 | all_214_1_166 = 0
% 61.05/26.52 | (674) aNaturalNumber0(xm) = all_214_8_173
% 61.05/26.52 | (675) sdtpldt0(all_214_4_169, xp) = all_214_3_168
% 61.05/26.52 | (676) sdtpldt0(xm, xn) = all_214_4_169
% 61.05/26.52 |
% 61.05/26.52 | Instantiating (569) with all_216_0_174, all_216_1_175, all_216_2_176 yields:
% 61.05/26.52 | (677) sdtasdt0(all_49_2_92, xp) = all_216_0_174 & aNaturalNumber0(all_49_2_92) = all_216_1_175 & aNaturalNumber0(xp) = all_216_2_176 & ( ~ (all_216_1_175 = 0) | ~ (all_216_2_176 = 0) | all_216_0_174 = all_0_8_8)
% 61.05/26.52 |
% 61.05/26.52 | Applying alpha-rule on (677) yields:
% 61.05/26.52 | (678) sdtasdt0(all_49_2_92, xp) = all_216_0_174
% 61.05/26.52 | (679) aNaturalNumber0(all_49_2_92) = all_216_1_175
% 61.05/26.52 | (680) aNaturalNumber0(xp) = all_216_2_176
% 61.05/26.52 | (681) ~ (all_216_1_175 = 0) | ~ (all_216_2_176 = 0) | all_216_0_174 = all_0_8_8
% 61.05/26.52 |
% 61.05/26.52 | Instantiating (572) with all_218_0_177, all_218_1_178, all_218_2_179 yields:
% 61.05/26.52 | (682) aNaturalNumber0(all_40_0_63) = all_218_0_177 & aNaturalNumber0(all_0_4_4) = all_218_1_178 & aNaturalNumber0(xm) = all_218_2_179 & ( ~ (all_218_1_178 = 0) | ~ (all_218_2_179 = 0) | all_218_0_177 = 0)
% 61.05/26.52 |
% 61.05/26.52 | Applying alpha-rule on (682) yields:
% 61.05/26.52 | (683) aNaturalNumber0(all_40_0_63) = all_218_0_177
% 61.05/26.52 | (684) aNaturalNumber0(all_0_4_4) = all_218_1_178
% 61.05/26.52 | (685) aNaturalNumber0(xm) = all_218_2_179
% 61.05/26.52 | (686) ~ (all_218_1_178 = 0) | ~ (all_218_2_179 = 0) | all_218_0_177 = 0
% 61.05/26.52 |
% 61.05/26.52 | Instantiating (577) with all_220_0_180, all_220_1_181, all_220_2_182 yields:
% 61.05/26.52 | (687) sdtpldt0(xr, all_0_10_10) = all_220_0_180 & aNaturalNumber0(all_0_10_10) = all_220_2_182 & aNaturalNumber0(xr) = all_220_1_181 & ( ~ (all_220_1_181 = 0) | ~ (all_220_2_182 = 0) | all_220_0_180 = all_51_3_99)
% 61.05/26.52 |
% 61.05/26.52 | Applying alpha-rule on (687) yields:
% 61.05/26.52 | (688) sdtpldt0(xr, all_0_10_10) = all_220_0_180
% 61.05/26.52 | (689) aNaturalNumber0(all_0_10_10) = all_220_2_182
% 61.05/26.52 | (690) aNaturalNumber0(xr) = all_220_1_181
% 61.05/26.52 | (691) ~ (all_220_1_181 = 0) | ~ (all_220_2_182 = 0) | all_220_0_180 = all_51_3_99
% 61.05/26.52 |
% 61.05/26.52 | Instantiating (575) with all_222_0_183, all_222_1_184, all_222_2_185 yields:
% 61.05/26.52 | (692) aNaturalNumber0(all_20_0_23) = all_222_0_183 & aNaturalNumber0(all_20_1_24) = all_222_1_184 & aNaturalNumber0(all_0_4_4) = all_222_2_185 & ( ~ (all_222_1_184 = 0) | ~ (all_222_2_185 = 0) | all_222_0_183 = 0)
% 61.05/26.52 |
% 61.05/26.52 | Applying alpha-rule on (692) yields:
% 61.05/26.52 | (693) aNaturalNumber0(all_20_0_23) = all_222_0_183
% 61.05/26.52 | (694) aNaturalNumber0(all_20_1_24) = all_222_1_184
% 61.05/26.52 | (695) aNaturalNumber0(all_0_4_4) = all_222_2_185
% 61.05/26.52 | (696) ~ (all_222_1_184 = 0) | ~ (all_222_2_185 = 0) | all_222_0_183 = 0
% 61.05/26.52 |
% 61.05/26.52 | Instantiating (571) with all_224_0_186, all_224_1_187, all_224_2_188 yields:
% 61.05/26.52 | (697) sdtasdt0(all_0_4_4, xm) = all_224_0_186 & aNaturalNumber0(all_0_4_4) = all_224_1_187 & aNaturalNumber0(xm) = all_224_2_188 & ( ~ (all_224_1_187 = 0) | ~ (all_224_2_188 = 0) | all_224_0_186 = all_40_0_63)
% 61.05/26.52 |
% 61.05/26.52 | Applying alpha-rule on (697) yields:
% 61.05/26.52 | (698) sdtasdt0(all_0_4_4, xm) = all_224_0_186
% 61.05/26.52 | (699) aNaturalNumber0(all_0_4_4) = all_224_1_187
% 61.05/26.52 | (700) aNaturalNumber0(xm) = all_224_2_188
% 61.05/26.52 | (701) ~ (all_224_1_187 = 0) | ~ (all_224_2_188 = 0) | all_224_0_186 = all_40_0_63
% 61.05/26.52 |
% 61.05/26.52 | Instantiating (568) with all_226_0_189, all_226_1_190, all_226_2_191, all_226_3_192, all_226_4_193, all_226_5_194, all_226_6_195, all_226_7_196, all_226_8_197 yields:
% 61.05/26.52 | (702) isPrime0(xp) = all_226_5_194 & doDivides0(xp, all_49_2_92) = all_226_0_189 & doDivides0(xp, xp) = all_226_1_190 & iLess0(all_226_3_192, all_0_9_9) = all_226_2_191 & sdtpldt0(all_226_4_193, xp) = all_226_3_192 & sdtpldt0(xp, all_49_2_92) = all_226_4_193 & aNaturalNumber0(all_49_2_92) = all_226_7_196 & aNaturalNumber0(xp) = all_226_6_195 & aNaturalNumber0(xp) = all_226_8_197 & ( ~ (all_226_2_191 = 0) | ~ (all_226_5_194 = 0) | ~ (all_226_6_195 = 0) | ~ (all_226_7_196 = 0) | ~ (all_226_8_197 = 0) | all_226_0_189 = 0 | all_226_1_190 = 0)
% 61.05/26.52 |
% 61.05/26.52 | Applying alpha-rule on (702) yields:
% 61.05/26.52 | (703) doDivides0(xp, xp) = all_226_1_190
% 61.05/26.52 | (704) doDivides0(xp, all_49_2_92) = all_226_0_189
% 61.05/26.52 | (705) sdtpldt0(all_226_4_193, xp) = all_226_3_192
% 61.05/26.52 | (706) iLess0(all_226_3_192, all_0_9_9) = all_226_2_191
% 61.05/26.52 | (707) isPrime0(xp) = all_226_5_194
% 61.05/26.52 | (708) aNaturalNumber0(xp) = all_226_6_195
% 61.05/26.52 | (709) sdtpldt0(xp, all_49_2_92) = all_226_4_193
% 61.05/26.52 | (710) aNaturalNumber0(all_49_2_92) = all_226_7_196
% 61.05/26.52 | (711) aNaturalNumber0(xp) = all_226_8_197
% 61.05/26.52 | (712) ~ (all_226_2_191 = 0) | ~ (all_226_5_194 = 0) | ~ (all_226_6_195 = 0) | ~ (all_226_7_196 = 0) | ~ (all_226_8_197 = 0) | all_226_0_189 = 0 | all_226_1_190 = 0
% 61.05/26.52 |
% 61.05/26.52 | Instantiating (567) with all_228_0_198, all_228_1_199, all_228_2_200, all_228_3_201, all_228_4_202, all_228_5_203, all_228_6_204, all_228_7_205, all_228_8_206 yields:
% 61.05/26.52 | (713) isPrime0(xr) = all_228_5_203 & doDivides0(xr, all_49_2_92) = all_228_0_198 & doDivides0(xr, xp) = all_228_1_199 & iLess0(all_228_3_201, all_0_9_9) = all_228_2_200 & sdtpldt0(all_228_4_202, xr) = all_228_3_201 & sdtpldt0(xp, all_49_2_92) = all_228_4_202 & aNaturalNumber0(all_49_2_92) = all_228_7_205 & aNaturalNumber0(xr) = all_228_6_204 & aNaturalNumber0(xp) = all_228_8_206 & ( ~ (all_228_2_200 = 0) | ~ (all_228_5_203 = 0) | ~ (all_228_6_204 = 0) | ~ (all_228_7_205 = 0) | ~ (all_228_8_206 = 0) | all_228_0_198 = 0 | all_228_1_199 = 0)
% 61.05/26.52 |
% 61.05/26.52 | Applying alpha-rule on (713) yields:
% 61.05/26.52 | (714) aNaturalNumber0(xp) = all_228_8_206
% 61.05/26.52 | (715) sdtpldt0(xp, all_49_2_92) = all_228_4_202
% 61.05/26.52 | (716) iLess0(all_228_3_201, all_0_9_9) = all_228_2_200
% 61.05/26.52 | (717) doDivides0(xr, xp) = all_228_1_199
% 61.05/26.52 | (718) isPrime0(xr) = all_228_5_203
% 61.05/26.52 | (719) aNaturalNumber0(all_49_2_92) = all_228_7_205
% 61.05/26.52 | (720) doDivides0(xr, all_49_2_92) = all_228_0_198
% 61.05/26.52 | (721) sdtpldt0(all_228_4_202, xr) = all_228_3_201
% 61.05/26.52 | (722) aNaturalNumber0(xr) = all_228_6_204
% 61.05/26.52 | (723) ~ (all_228_2_200 = 0) | ~ (all_228_5_203 = 0) | ~ (all_228_6_204 = 0) | ~ (all_228_7_205 = 0) | ~ (all_228_8_206 = 0) | all_228_0_198 = 0 | all_228_1_199 = 0
% 61.05/26.52 |
% 61.05/26.52 | Instantiating (574) with all_230_0_207, all_230_1_208, all_230_2_209 yields:
% 61.05/26.52 | (724) sdtpldt0(all_20_1_24, all_0_4_4) = all_230_0_207 & aNaturalNumber0(all_20_1_24) = all_230_1_208 & aNaturalNumber0(all_0_4_4) = all_230_2_209 & ( ~ (all_230_1_208 = 0) | ~ (all_230_2_209 = 0) | all_230_0_207 = all_20_0_23)
% 61.05/26.52 |
% 61.05/26.52 | Applying alpha-rule on (724) yields:
% 61.05/26.52 | (725) sdtpldt0(all_20_1_24, all_0_4_4) = all_230_0_207
% 61.05/26.52 | (726) aNaturalNumber0(all_20_1_24) = all_230_1_208
% 61.05/26.52 | (727) aNaturalNumber0(all_0_4_4) = all_230_2_209
% 61.05/26.52 | (728) ~ (all_230_1_208 = 0) | ~ (all_230_2_209 = 0) | all_230_0_207 = all_20_0_23
% 61.05/26.52 |
% 61.05/26.52 | Instantiating (576) with all_232_0_210, all_232_1_211, all_232_2_212, all_232_3_213, all_232_4_214 yields:
% 61.05/26.52 | (729) sdtpldt0(xm, xr) = all_232_1_211 & sdtpldt0(xn, all_232_1_211) = all_232_0_210 & aNaturalNumber0(xr) = all_232_2_212 & aNaturalNumber0(xm) = all_232_3_213 & aNaturalNumber0(xn) = all_232_4_214 & ( ~ (all_232_2_212 = 0) | ~ (all_232_3_213 = 0) | ~ (all_232_4_214 = 0) | all_232_0_210 = all_51_3_99)
% 61.05/26.52 |
% 61.05/26.52 | Applying alpha-rule on (729) yields:
% 61.05/26.52 | (730) aNaturalNumber0(xn) = all_232_4_214
% 61.05/26.52 | (731) sdtpldt0(xn, all_232_1_211) = all_232_0_210
% 61.05/26.52 | (732) aNaturalNumber0(xm) = all_232_3_213
% 61.05/26.52 | (733) aNaturalNumber0(xr) = all_232_2_212
% 61.05/26.52 | (734) ~ (all_232_2_212 = 0) | ~ (all_232_3_213 = 0) | ~ (all_232_4_214 = 0) | all_232_0_210 = all_51_3_99
% 61.05/26.52 | (735) sdtpldt0(xm, xr) = all_232_1_211
% 61.05/26.52 |
% 61.05/26.52 | Instantiating (590) with all_234_0_215, all_234_1_216, all_234_2_217 yields:
% 61.05/26.52 | (736) aNaturalNumber0(all_20_1_24) = all_234_0_215 & aNaturalNumber0(xp) = all_234_1_216 & aNaturalNumber0(xm) = all_234_2_217 & ( ~ (all_234_1_216 = 0) | ~ (all_234_2_217 = 0) | all_234_0_215 = 0)
% 61.05/26.52 |
% 61.05/26.52 | Applying alpha-rule on (736) yields:
% 61.05/26.52 | (737) aNaturalNumber0(all_20_1_24) = all_234_0_215
% 61.05/26.52 | (738) aNaturalNumber0(xp) = all_234_1_216
% 61.05/26.52 | (739) aNaturalNumber0(xm) = all_234_2_217
% 61.05/26.53 | (740) ~ (all_234_1_216 = 0) | ~ (all_234_2_217 = 0) | all_234_0_215 = 0
% 61.05/26.53 |
% 61.05/26.53 | Instantiating (589) with all_236_0_218, all_236_1_219, all_236_2_220 yields:
% 61.05/26.53 | (741) sdtpldt0(xp, xm) = all_236_0_218 & aNaturalNumber0(xp) = all_236_1_219 & aNaturalNumber0(xm) = all_236_2_220 & ( ~ (all_236_1_219 = 0) | ~ (all_236_2_220 = 0) | all_236_0_218 = all_20_1_24)
% 61.05/26.53 |
% 61.05/26.53 | Applying alpha-rule on (741) yields:
% 61.05/26.53 | (742) sdtpldt0(xp, xm) = all_236_0_218
% 61.05/26.53 | (743) aNaturalNumber0(xp) = all_236_1_219
% 61.05/26.53 | (744) aNaturalNumber0(xm) = all_236_2_220
% 61.05/26.53 | (745) ~ (all_236_1_219 = 0) | ~ (all_236_2_220 = 0) | all_236_0_218 = all_20_1_24
% 61.05/26.53 |
% 61.05/26.53 | Instantiating (582) with all_238_0_221, all_238_1_222, all_238_2_223, all_238_3_224, all_238_4_225 yields:
% 61.05/26.53 | (746) doDivides0(all_87_0_124, all_42_2_68) = all_238_0_221 & doDivides0(all_87_0_124, xm) = all_238_1_222 & aNaturalNumber0(all_87_0_124) = all_238_4_225 & aNaturalNumber0(all_42_2_68) = all_238_2_223 & aNaturalNumber0(xm) = all_238_3_224 & ( ~ (all_238_1_222 = 0) | ~ (all_238_2_223 = 0) | ~ (all_238_3_224 = 0) | ~ (all_238_4_225 = 0) | all_238_0_221 = 0)
% 61.05/26.53 |
% 61.05/26.53 | Applying alpha-rule on (746) yields:
% 61.05/26.53 | (747) aNaturalNumber0(all_87_0_124) = all_238_4_225
% 61.05/26.53 | (748) doDivides0(all_87_0_124, all_42_2_68) = all_238_0_221
% 61.05/26.53 | (749) aNaturalNumber0(all_42_2_68) = all_238_2_223
% 61.05/26.53 | (750) aNaturalNumber0(xm) = all_238_3_224
% 61.05/26.53 | (751) doDivides0(all_87_0_124, xm) = all_238_1_222
% 61.05/26.53 | (752) ~ (all_238_1_222 = 0) | ~ (all_238_2_223 = 0) | ~ (all_238_3_224 = 0) | ~ (all_238_4_225 = 0) | all_238_0_221 = 0
% 61.05/26.53 |
% 61.05/26.53 | Instantiating (579) with all_240_0_226, all_240_1_227, all_240_2_228 yields:
% 61.05/26.53 | (753) sdtpldt0(all_0_2_2, xp) = all_240_0_226 & aNaturalNumber0(all_0_2_2) = all_240_1_227 & aNaturalNumber0(xp) = all_240_2_228 & ( ~ (all_240_1_227 = 0) | ~ (all_240_2_228 = 0) | all_240_0_226 = all_26_0_34)
% 61.05/26.53 |
% 61.05/26.53 | Applying alpha-rule on (753) yields:
% 61.05/26.53 | (754) sdtpldt0(all_0_2_2, xp) = all_240_0_226
% 61.05/26.53 | (755) aNaturalNumber0(all_0_2_2) = all_240_1_227
% 61.05/26.53 | (756) aNaturalNumber0(xp) = all_240_2_228
% 61.05/26.53 | (757) ~ (all_240_1_227 = 0) | ~ (all_240_2_228 = 0) | all_240_0_226 = all_26_0_34
% 61.05/26.53 |
% 61.05/26.53 | Instantiating (587) with all_242_0_229, all_242_1_230, all_242_2_231 yields:
% 61.05/26.53 | (758) sdtpldt0(all_0_4_4, xm) = all_242_0_229 & aNaturalNumber0(all_0_4_4) = all_242_1_230 & aNaturalNumber0(xm) = all_242_2_231 & ( ~ (all_242_1_230 = 0) | ~ (all_242_2_231 = 0) | all_242_0_229 = all_32_0_45)
% 61.05/26.53 |
% 61.05/26.53 | Applying alpha-rule on (758) yields:
% 61.05/26.53 | (759) sdtpldt0(all_0_4_4, xm) = all_242_0_229
% 61.05/26.53 | (760) aNaturalNumber0(all_0_4_4) = all_242_1_230
% 61.05/26.53 | (761) aNaturalNumber0(xm) = all_242_2_231
% 61.05/26.53 | (762) ~ (all_242_1_230 = 0) | ~ (all_242_2_231 = 0) | all_242_0_229 = all_32_0_45
% 61.05/26.53 |
% 61.05/26.53 | Instantiating (602) with all_244_0_232, all_244_1_233, all_244_2_234 yields:
% 61.05/26.53 | (763) sdtpldt0(all_20_1_24, xn) = all_244_0_232 & aNaturalNumber0(all_20_1_24) = all_244_1_233 & aNaturalNumber0(xn) = all_244_2_234 & ( ~ (all_244_1_233 = 0) | ~ (all_244_2_234 = 0) | all_244_0_232 = all_0_9_9)
% 61.05/26.53 |
% 61.05/26.53 | Applying alpha-rule on (763) yields:
% 61.05/26.53 | (764) sdtpldt0(all_20_1_24, xn) = all_244_0_232
% 61.05/26.53 | (765) aNaturalNumber0(all_20_1_24) = all_244_1_233
% 61.05/26.53 | (766) aNaturalNumber0(xn) = all_244_2_234
% 61.05/26.53 | (767) ~ (all_244_1_233 = 0) | ~ (all_244_2_234 = 0) | all_244_0_232 = all_0_9_9
% 61.05/26.53 |
% 61.05/26.53 | Instantiating (600) with all_246_0_235, all_246_1_236, all_246_2_237 yields:
% 61.05/26.53 | (768) sdtpldt0(all_48_2_89, xn) = all_246_0_235 & aNaturalNumber0(all_48_2_89) = all_246_1_236 & aNaturalNumber0(xn) = all_246_2_237 & ( ~ (all_246_1_236 = 0) | ~ (all_246_2_237 = 0) | all_246_0_235 = xp)
% 61.05/26.53 |
% 61.05/26.53 | Applying alpha-rule on (768) yields:
% 61.05/26.53 | (769) sdtpldt0(all_48_2_89, xn) = all_246_0_235
% 61.05/26.53 | (770) aNaturalNumber0(all_48_2_89) = all_246_1_236
% 61.05/26.53 | (771) aNaturalNumber0(xn) = all_246_2_237
% 61.05/26.53 | (772) ~ (all_246_1_236 = 0) | ~ (all_246_2_237 = 0) | all_246_0_235 = xp
% 61.05/26.53 |
% 61.05/26.53 | Instantiating (599) with all_248_0_238, all_248_1_239, all_248_2_240, all_248_3_241, all_248_4_242 yields:
% 61.05/26.53 | (773) sdtpldt0(all_48_2_89, all_0_10_10) = all_248_1_239 & sdtpldt0(xn, all_248_1_239) = all_248_0_238 & aNaturalNumber0(all_48_2_89) = all_248_3_241 & aNaturalNumber0(all_0_10_10) = all_248_2_240 & aNaturalNumber0(xn) = all_248_4_242 & ( ~ (all_248_2_240 = 0) | ~ (all_248_3_241 = 0) | ~ (all_248_4_242 = 0) | all_248_0_238 = all_0_9_9)
% 61.05/26.53 |
% 61.05/26.53 | Applying alpha-rule on (773) yields:
% 61.05/26.53 | (774) aNaturalNumber0(all_48_2_89) = all_248_3_241
% 61.05/26.53 | (775) ~ (all_248_2_240 = 0) | ~ (all_248_3_241 = 0) | ~ (all_248_4_242 = 0) | all_248_0_238 = all_0_9_9
% 61.05/26.53 | (776) aNaturalNumber0(all_0_10_10) = all_248_2_240
% 61.05/26.53 | (777) sdtpldt0(all_48_2_89, all_0_10_10) = all_248_1_239
% 61.05/26.53 | (778) aNaturalNumber0(xn) = all_248_4_242
% 61.05/26.53 | (779) sdtpldt0(xn, all_248_1_239) = all_248_0_238
% 61.05/26.53 |
% 61.05/26.53 | Instantiating (598) with all_250_0_243, all_250_1_244, all_250_2_245, all_250_3_246, all_250_4_247 yields:
% 61.05/26.53 | (780) sdtpldt0(all_48_2_89, all_0_2_2) = all_250_1_244 & sdtpldt0(xn, all_250_1_244) = all_250_0_243 & aNaturalNumber0(all_48_2_89) = all_250_3_246 & aNaturalNumber0(all_0_2_2) = all_250_2_245 & aNaturalNumber0(xn) = all_250_4_247 & ( ~ (all_250_2_245 = 0) | ~ (all_250_3_246 = 0) | ~ (all_250_4_247 = 0) | all_250_0_243 = all_26_0_34)
% 61.05/26.53 |
% 61.05/26.53 | Applying alpha-rule on (780) yields:
% 61.05/26.53 | (781) ~ (all_250_2_245 = 0) | ~ (all_250_3_246 = 0) | ~ (all_250_4_247 = 0) | all_250_0_243 = all_26_0_34
% 61.05/26.53 | (782) aNaturalNumber0(xn) = all_250_4_247
% 61.05/26.53 | (783) sdtpldt0(all_48_2_89, all_0_2_2) = all_250_1_244
% 61.05/26.53 | (784) sdtpldt0(xn, all_250_1_244) = all_250_0_243
% 61.05/26.53 | (785) aNaturalNumber0(all_0_2_2) = all_250_2_245
% 61.05/26.53 | (786) aNaturalNumber0(all_48_2_89) = all_250_3_246
% 61.05/26.53 |
% 61.05/26.53 | Instantiating (566) with all_252_0_248, all_252_1_249, all_252_2_250 yields:
% 61.05/26.53 | (787) sdtasdt0(all_54_2_110, xr) = all_252_0_248 & aNaturalNumber0(all_54_2_110) = all_252_1_249 & aNaturalNumber0(xr) = all_252_2_250 & ( ~ (all_252_1_249 = 0) | ~ (all_252_2_250 = 0) | all_252_0_248 = xn)
% 61.05/26.53 |
% 61.05/26.53 | Applying alpha-rule on (787) yields:
% 61.05/26.53 | (788) sdtasdt0(all_54_2_110, xr) = all_252_0_248
% 61.05/26.53 | (789) aNaturalNumber0(all_54_2_110) = all_252_1_249
% 61.05/26.53 | (790) aNaturalNumber0(xr) = all_252_2_250
% 61.05/26.53 | (791) ~ (all_252_1_249 = 0) | ~ (all_252_2_250 = 0) | all_252_0_248 = xn
% 61.05/26.53 |
% 61.05/26.53 | Instantiating (565) with all_254_0_251, all_254_1_252, all_254_2_253, all_254_3_254, all_254_4_255, all_254_5_256, all_254_6_257, all_254_7_258, all_254_8_259 yields:
% 61.05/26.53 | (792) isPrime0(xr) = all_254_5_256 & doDivides0(xr, all_54_2_110) = all_254_0_251 & doDivides0(xr, xr) = all_254_1_252 & iLess0(all_254_3_254, all_0_9_9) = all_254_2_253 & sdtpldt0(all_254_4_255, xr) = all_254_3_254 & sdtpldt0(xr, all_54_2_110) = all_254_4_255 & aNaturalNumber0(all_54_2_110) = all_254_7_258 & aNaturalNumber0(xr) = all_254_6_257 & aNaturalNumber0(xr) = all_254_8_259 & ( ~ (all_254_2_253 = 0) | ~ (all_254_5_256 = 0) | ~ (all_254_6_257 = 0) | ~ (all_254_7_258 = 0) | ~ (all_254_8_259 = 0) | all_254_0_251 = 0 | all_254_1_252 = 0)
% 61.05/26.53 |
% 61.05/26.53 | Applying alpha-rule on (792) yields:
% 61.05/26.53 | (793) aNaturalNumber0(xr) = all_254_8_259
% 61.05/26.53 | (794) aNaturalNumber0(xr) = all_254_6_257
% 61.05/26.53 | (795) sdtpldt0(xr, all_54_2_110) = all_254_4_255
% 61.05/26.53 | (796) doDivides0(xr, all_54_2_110) = all_254_0_251
% 61.29/26.53 | (797) aNaturalNumber0(all_54_2_110) = all_254_7_258
% 61.29/26.53 | (798) iLess0(all_254_3_254, all_0_9_9) = all_254_2_253
% 61.29/26.53 | (799) sdtpldt0(all_254_4_255, xr) = all_254_3_254
% 61.29/26.53 | (800) isPrime0(xr) = all_254_5_256
% 61.29/26.53 | (801) doDivides0(xr, xr) = all_254_1_252
% 61.29/26.53 | (802) ~ (all_254_2_253 = 0) | ~ (all_254_5_256 = 0) | ~ (all_254_6_257 = 0) | ~ (all_254_7_258 = 0) | ~ (all_254_8_259 = 0) | all_254_0_251 = 0 | all_254_1_252 = 0
% 61.29/26.53 |
% 61.29/26.53 | Instantiating (564) with all_256_0_260, all_256_1_261, all_256_2_262, all_256_3_263, all_256_4_264 yields:
% 61.29/26.53 | (803) sdtasdt0(all_54_2_110, xm) = all_256_1_261 & sdtasdt0(xr, all_256_1_261) = all_256_0_260 & aNaturalNumber0(all_54_2_110) = all_256_3_263 & aNaturalNumber0(xr) = all_256_4_264 & aNaturalNumber0(xm) = all_256_2_262 & ( ~ (all_256_2_262 = 0) | ~ (all_256_3_263 = 0) | ~ (all_256_4_264 = 0) | all_256_0_260 = all_0_8_8)
% 61.29/26.53 |
% 61.29/26.53 | Applying alpha-rule on (803) yields:
% 61.29/26.53 | (804) sdtasdt0(all_54_2_110, xm) = all_256_1_261
% 61.29/26.53 | (805) sdtasdt0(xr, all_256_1_261) = all_256_0_260
% 61.29/26.53 | (806) aNaturalNumber0(all_54_2_110) = all_256_3_263
% 61.29/26.53 | (807) aNaturalNumber0(xm) = all_256_2_262
% 61.29/26.53 | (808) ~ (all_256_2_262 = 0) | ~ (all_256_3_263 = 0) | ~ (all_256_4_264 = 0) | all_256_0_260 = all_0_8_8
% 61.29/26.53 | (809) aNaturalNumber0(xr) = all_256_4_264
% 61.29/26.53 |
% 61.29/26.53 | Instantiating (562) with all_258_0_265, all_258_1_266, all_258_2_267 yields:
% 61.29/26.53 | (810) sdtasdt0(all_55_2_113, xr) = all_258_0_265 & aNaturalNumber0(all_55_2_113) = all_258_1_266 & aNaturalNumber0(xr) = all_258_2_267 & ( ~ (all_258_1_266 = 0) | ~ (all_258_2_267 = 0) | all_258_0_265 = all_0_8_8)
% 61.29/26.53 |
% 61.29/26.53 | Applying alpha-rule on (810) yields:
% 61.29/26.53 | (811) sdtasdt0(all_55_2_113, xr) = all_258_0_265
% 61.29/26.53 | (812) aNaturalNumber0(all_55_2_113) = all_258_1_266
% 61.29/26.53 | (813) aNaturalNumber0(xr) = all_258_2_267
% 61.29/26.53 | (814) ~ (all_258_1_266 = 0) | ~ (all_258_2_267 = 0) | all_258_0_265 = all_0_8_8
% 61.29/26.53 |
% 61.29/26.53 | Instantiating (561) with all_260_0_268, all_260_1_269, all_260_2_270, all_260_3_271, all_260_4_272, all_260_5_273, all_260_6_274, all_260_7_275, all_260_8_276 yields:
% 61.29/26.53 | (815) isPrime0(xp) = all_260_5_273 & doDivides0(xp, all_55_2_113) = all_260_0_268 & doDivides0(xp, xr) = all_260_1_269 & iLess0(all_260_3_271, all_0_9_9) = all_260_2_270 & sdtpldt0(all_260_4_272, xp) = all_260_3_271 & sdtpldt0(xr, all_55_2_113) = all_260_4_272 & aNaturalNumber0(all_55_2_113) = all_260_7_275 & aNaturalNumber0(xr) = all_260_8_276 & aNaturalNumber0(xp) = all_260_6_274 & ( ~ (all_260_2_270 = 0) | ~ (all_260_5_273 = 0) | ~ (all_260_6_274 = 0) | ~ (all_260_7_275 = 0) | ~ (all_260_8_276 = 0) | all_260_0_268 = 0 | all_260_1_269 = 0)
% 61.29/26.53 |
% 61.29/26.53 | Applying alpha-rule on (815) yields:
% 61.29/26.53 | (816) aNaturalNumber0(all_55_2_113) = all_260_7_275
% 61.29/26.53 | (817) iLess0(all_260_3_271, all_0_9_9) = all_260_2_270
% 61.29/26.53 | (818) sdtpldt0(xr, all_55_2_113) = all_260_4_272
% 61.29/26.53 | (819) doDivides0(xp, all_55_2_113) = all_260_0_268
% 61.29/26.53 | (820) sdtpldt0(all_260_4_272, xp) = all_260_3_271
% 61.29/26.53 | (821) isPrime0(xp) = all_260_5_273
% 61.29/26.53 | (822) ~ (all_260_2_270 = 0) | ~ (all_260_5_273 = 0) | ~ (all_260_6_274 = 0) | ~ (all_260_7_275 = 0) | ~ (all_260_8_276 = 0) | all_260_0_268 = 0 | all_260_1_269 = 0
% 61.29/26.53 | (823) aNaturalNumber0(xp) = all_260_6_274
% 61.29/26.53 | (824) doDivides0(xp, xr) = all_260_1_269
% 61.29/26.53 | (825) aNaturalNumber0(xr) = all_260_8_276
% 61.29/26.53 |
% 61.29/26.53 | Instantiating (560) with all_262_0_277, all_262_1_278, all_262_2_279, all_262_3_280, all_262_4_281, all_262_5_282, all_262_6_283, all_262_7_284, all_262_8_285 yields:
% 61.29/26.53 | (826) isPrime0(xr) = all_262_5_282 & doDivides0(xr, all_55_2_113) = all_262_0_277 & doDivides0(xr, xr) = all_262_1_278 & iLess0(all_262_3_280, all_0_9_9) = all_262_2_279 & sdtpldt0(all_262_4_281, xr) = all_262_3_280 & sdtpldt0(xr, all_55_2_113) = all_262_4_281 & aNaturalNumber0(all_55_2_113) = all_262_7_284 & aNaturalNumber0(xr) = all_262_6_283 & aNaturalNumber0(xr) = all_262_8_285 & ( ~ (all_262_2_279 = 0) | ~ (all_262_5_282 = 0) | ~ (all_262_6_283 = 0) | ~ (all_262_7_284 = 0) | ~ (all_262_8_285 = 0) | all_262_0_277 = 0 | all_262_1_278 = 0)
% 61.29/26.53 |
% 61.29/26.53 | Applying alpha-rule on (826) yields:
% 61.29/26.53 | (827) ~ (all_262_2_279 = 0) | ~ (all_262_5_282 = 0) | ~ (all_262_6_283 = 0) | ~ (all_262_7_284 = 0) | ~ (all_262_8_285 = 0) | all_262_0_277 = 0 | all_262_1_278 = 0
% 61.29/26.53 | (828) aNaturalNumber0(xr) = all_262_8_285
% 61.29/26.53 | (829) sdtpldt0(all_262_4_281, xr) = all_262_3_280
% 61.29/26.53 | (830) doDivides0(xr, all_55_2_113) = all_262_0_277
% 61.29/26.53 | (831) aNaturalNumber0(xr) = all_262_6_283
% 61.29/26.53 | (832) aNaturalNumber0(all_55_2_113) = all_262_7_284
% 61.29/26.53 | (833) iLess0(all_262_3_280, all_0_9_9) = all_262_2_279
% 61.29/26.53 | (834) sdtpldt0(xr, all_55_2_113) = all_262_4_281
% 61.29/26.53 | (835) isPrime0(xr) = all_262_5_282
% 61.29/26.53 | (836) doDivides0(xr, xr) = all_262_1_278
% 61.29/26.53 |
% 61.29/26.53 +-Applying beta-rule and splitting (558), into two cases.
% 61.29/26.53 |-Branch one:
% 61.29/26.53 | (267) xr = sz00
% 61.29/26.53 |
% 61.29/26.53 | Equations (267) can reduce 98 to:
% 61.29/26.53 | (241) $false
% 61.29/26.53 |
% 61.29/26.53 |-The branch is then unsatisfiable
% 61.29/26.53 |-Branch two:
% 61.29/26.53 | (98) ~ (xr = sz00)
% 61.29/26.53 | (840) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_82_0_123, xr) = v2 & aNaturalNumber0(all_82_0_123) = v0 & aNaturalNumber0(xr) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 61.29/26.53 |
% 61.29/26.53 | Instantiating (840) with all_270_0_292, all_270_1_293, all_270_2_294 yields:
% 61.29/26.53 | (841) sdtlseqdt0(all_82_0_123, xr) = all_270_0_292 & aNaturalNumber0(all_82_0_123) = all_270_2_294 & aNaturalNumber0(xr) = all_270_1_293 & ( ~ (all_270_1_293 = 0) | ~ (all_270_2_294 = 0) | all_270_0_292 = 0)
% 61.29/26.53 |
% 61.29/26.54 | Applying alpha-rule on (841) yields:
% 61.29/26.54 | (842) sdtlseqdt0(all_82_0_123, xr) = all_270_0_292
% 61.29/26.54 | (843) aNaturalNumber0(all_82_0_123) = all_270_2_294
% 61.29/26.54 | (844) aNaturalNumber0(xr) = all_270_1_293
% 61.29/26.54 | (845) ~ (all_270_1_293 = 0) | ~ (all_270_2_294 = 0) | all_270_0_292 = 0
% 61.29/26.54 |
% 61.29/26.54 +-Applying beta-rule and splitting (556), into two cases.
% 61.29/26.54 |-Branch one:
% 61.29/26.54 | (271) xp = sz00
% 61.29/26.54 |
% 61.29/26.54 | Equations (271) can reduce 99 to:
% 61.29/26.54 | (241) $false
% 61.29/26.54 |
% 61.29/26.54 |-The branch is then unsatisfiable
% 61.29/26.54 |-Branch two:
% 61.29/26.54 | (99) ~ (xp = sz00)
% 61.29/26.54 | (849) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_87_0_124, xp) = v2 & aNaturalNumber0(all_87_0_124) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 61.29/26.54 |
% 61.29/26.54 | Instantiating (849) with all_275_0_295, all_275_1_296, all_275_2_297 yields:
% 61.29/26.54 | (850) sdtlseqdt0(all_87_0_124, xp) = all_275_0_295 & aNaturalNumber0(all_87_0_124) = all_275_2_297 & aNaturalNumber0(xp) = all_275_1_296 & ( ~ (all_275_1_296 = 0) | ~ (all_275_2_297 = 0) | all_275_0_295 = 0)
% 61.29/26.54 |
% 61.29/26.54 | Applying alpha-rule on (850) yields:
% 61.29/26.54 | (851) sdtlseqdt0(all_87_0_124, xp) = all_275_0_295
% 61.29/26.54 | (852) aNaturalNumber0(all_87_0_124) = all_275_2_297
% 61.29/26.54 | (853) aNaturalNumber0(xp) = all_275_1_296
% 61.29/26.54 | (854) ~ (all_275_1_296 = 0) | ~ (all_275_2_297 = 0) | all_275_0_295 = 0
% 61.29/26.54 |
% 61.29/26.54 +-Applying beta-rule and splitting (605), into two cases.
% 61.29/26.54 |-Branch one:
% 61.29/26.54 | (855) all_82_0_123 = sz00
% 61.29/26.54 |
% 61.29/26.54 | Equations (855) can reduce 294 to:
% 61.29/26.54 | (241) $false
% 61.29/26.54 |
% 61.29/26.54 |-The branch is then unsatisfiable
% 61.29/26.54 |-Branch two:
% 61.29/26.54 | (294) ~ (all_82_0_123 = sz00)
% 61.29/26.54 | (858) all_82_0_123 = sz10 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, all_82_0_123) = 0 & aNaturalNumber0(v0) = 0)
% 61.29/26.54 |
% 61.29/26.54 +-Applying beta-rule and splitting (604), into two cases.
% 61.29/26.54 |-Branch one:
% 61.29/26.54 | (859) all_87_0_124 = sz00
% 61.29/26.54 |
% 61.29/26.54 | Equations (859) can reduce 292 to:
% 61.29/26.54 | (241) $false
% 61.29/26.54 |
% 61.29/26.54 |-The branch is then unsatisfiable
% 61.29/26.54 |-Branch two:
% 61.29/26.54 | (292) ~ (all_87_0_124 = sz00)
% 61.29/26.54 | (862) all_87_0_124 = sz10 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, all_87_0_124) = 0 & aNaturalNumber0(v0) = 0)
% 61.29/26.54 |
% 61.29/26.54 +-Applying beta-rule and splitting (858), into two cases.
% 61.29/26.54 |-Branch one:
% 61.29/26.54 | (863) all_82_0_123 = sz10
% 61.29/26.54 |
% 61.29/26.54 | Equations (863) can reduce 293 to:
% 61.29/26.54 | (241) $false
% 61.29/26.54 |
% 61.29/26.54 |-The branch is then unsatisfiable
% 61.29/26.54 |-Branch two:
% 61.29/26.54 | (293) ~ (all_82_0_123 = sz10)
% 61.29/26.54 | (866) ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, all_82_0_123) = 0 & aNaturalNumber0(v0) = 0)
% 61.29/26.54 |
% 61.29/26.54 +-Applying beta-rule and splitting (862), into two cases.
% 61.29/26.54 |-Branch one:
% 61.29/26.54 | (867) all_87_0_124 = sz10
% 61.29/26.54 |
% 61.29/26.54 | Equations (867) can reduce 291 to:
% 61.29/26.54 | (241) $false
% 61.29/26.54 |
% 61.29/26.54 |-The branch is then unsatisfiable
% 61.29/26.54 |-Branch two:
% 61.29/26.54 | (291) ~ (all_87_0_124 = sz10)
% 61.29/26.54 | (870) ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, all_87_0_124) = 0 & aNaturalNumber0(v0) = 0)
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (36) with all_0_2_2, xp, all_240_0_226, all_0_1_1 and discharging atoms sdtpldt0(all_0_2_2, xp) = all_240_0_226, sdtpldt0(all_0_2_2, xp) = all_0_1_1, yields:
% 61.29/26.54 | (871) all_240_0_226 = all_0_1_1
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (36) with all_0_4_4, xm, all_242_0_229, all_0_2_2 and discharging atoms sdtpldt0(all_0_4_4, xm) = all_242_0_229, sdtpldt0(all_0_4_4, xm) = all_0_2_2, yields:
% 61.29/26.54 | (872) all_242_0_229 = all_0_2_2
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with all_87_0_124, all_275_2_297, 0 and discharging atoms aNaturalNumber0(all_87_0_124) = all_275_2_297, aNaturalNumber0(all_87_0_124) = 0, yields:
% 61.29/26.54 | (873) all_275_2_297 = 0
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with all_87_0_124, all_238_4_225, all_275_2_297 and discharging atoms aNaturalNumber0(all_87_0_124) = all_275_2_297, aNaturalNumber0(all_87_0_124) = all_238_4_225, yields:
% 61.29/26.54 | (874) all_275_2_297 = all_238_4_225
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with all_87_0_124, all_196_4_132, all_238_4_225 and discharging atoms aNaturalNumber0(all_87_0_124) = all_238_4_225, aNaturalNumber0(all_87_0_124) = all_196_4_132, yields:
% 61.29/26.54 | (875) all_238_4_225 = all_196_4_132
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with all_82_0_123, all_270_2_294, 0 and discharging atoms aNaturalNumber0(all_82_0_123) = all_270_2_294, aNaturalNumber0(all_82_0_123) = 0, yields:
% 61.29/26.54 | (876) all_270_2_294 = 0
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with all_54_2_110, all_256_3_263, 0 and discharging atoms aNaturalNumber0(all_54_2_110) = all_256_3_263, aNaturalNumber0(all_54_2_110) = 0, yields:
% 61.29/26.54 | (877) all_256_3_263 = 0
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with all_54_2_110, all_254_7_258, all_256_3_263 and discharging atoms aNaturalNumber0(all_54_2_110) = all_256_3_263, aNaturalNumber0(all_54_2_110) = all_254_7_258, yields:
% 61.29/26.54 | (878) all_256_3_263 = all_254_7_258
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with all_54_2_110, all_252_1_249, all_256_3_263 and discharging atoms aNaturalNumber0(all_54_2_110) = all_256_3_263, aNaturalNumber0(all_54_2_110) = all_252_1_249, yields:
% 61.29/26.54 | (879) all_256_3_263 = all_252_1_249
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with all_20_1_24, all_234_0_215, all_244_1_233 and discharging atoms aNaturalNumber0(all_20_1_24) = all_244_1_233, aNaturalNumber0(all_20_1_24) = all_234_0_215, yields:
% 61.29/26.54 | (880) all_244_1_233 = all_234_0_215
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with all_20_1_24, all_230_1_208, all_244_1_233 and discharging atoms aNaturalNumber0(all_20_1_24) = all_244_1_233, aNaturalNumber0(all_20_1_24) = all_230_1_208, yields:
% 61.29/26.54 | (881) all_244_1_233 = all_230_1_208
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with all_20_1_24, all_222_1_184, all_234_0_215 and discharging atoms aNaturalNumber0(all_20_1_24) = all_234_0_215, aNaturalNumber0(all_20_1_24) = all_222_1_184, yields:
% 61.29/26.54 | (882) all_234_0_215 = all_222_1_184
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with all_20_1_24, all_194_1_126, all_234_0_215 and discharging atoms aNaturalNumber0(all_20_1_24) = all_234_0_215, aNaturalNumber0(all_20_1_24) = all_194_1_126, yields:
% 61.29/26.54 | (883) all_234_0_215 = all_194_1_126
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with all_0_2_2, all_240_1_227, all_22_2_30 and discharging atoms aNaturalNumber0(all_0_2_2) = all_240_1_227, aNaturalNumber0(all_0_2_2) = all_22_2_30, yields:
% 61.29/26.54 | (884) all_240_1_227 = all_22_2_30
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with all_0_2_2, all_208_2_154, all_200_0_138 and discharging atoms aNaturalNumber0(all_0_2_2) = all_208_2_154, yields:
% 61.29/26.54 | (885) all_208_2_154 = all_200_0_138 | ~ (aNaturalNumber0(all_0_2_2) = all_200_0_138)
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with all_0_2_2, all_208_2_154, all_240_1_227 and discharging atoms aNaturalNumber0(all_0_2_2) = all_240_1_227, aNaturalNumber0(all_0_2_2) = all_208_2_154, yields:
% 61.29/26.54 | (886) all_240_1_227 = all_208_2_154
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with all_0_4_4, all_230_2_209, all_242_1_230 and discharging atoms aNaturalNumber0(all_0_4_4) = all_242_1_230, aNaturalNumber0(all_0_4_4) = all_230_2_209, yields:
% 61.29/26.54 | (887) all_242_1_230 = all_230_2_209
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with all_0_4_4, all_224_1_187, all_230_2_209 and discharging atoms aNaturalNumber0(all_0_4_4) = all_230_2_209, aNaturalNumber0(all_0_4_4) = all_224_1_187, yields:
% 61.29/26.54 | (888) all_230_2_209 = all_224_1_187
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with all_0_4_4, all_222_2_185, 0 and discharging atoms aNaturalNumber0(all_0_4_4) = all_222_2_185, yields:
% 61.29/26.54 | (889) all_222_2_185 = 0 | ~ (aNaturalNumber0(all_0_4_4) = 0)
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with all_0_4_4, all_222_2_185, all_20_4_27 and discharging atoms aNaturalNumber0(all_0_4_4) = all_222_2_185, aNaturalNumber0(all_0_4_4) = all_20_4_27, yields:
% 61.29/26.54 | (890) all_222_2_185 = all_20_4_27
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with all_0_4_4, all_222_2_185, all_230_2_209 and discharging atoms aNaturalNumber0(all_0_4_4) = all_230_2_209, aNaturalNumber0(all_0_4_4) = all_222_2_185, yields:
% 61.29/26.54 | (891) all_230_2_209 = all_222_2_185
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with all_0_4_4, all_218_1_178, all_242_1_230 and discharging atoms aNaturalNumber0(all_0_4_4) = all_242_1_230, aNaturalNumber0(all_0_4_4) = all_218_1_178, yields:
% 61.29/26.54 | (892) all_242_1_230 = all_218_1_178
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with all_0_4_4, all_200_1_139, all_222_2_185 and discharging atoms aNaturalNumber0(all_0_4_4) = all_222_2_185, aNaturalNumber0(all_0_4_4) = all_200_1_139, yields:
% 61.29/26.54 | (893) all_222_2_185 = all_200_1_139
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with all_0_10_10, all_220_2_182, all_248_2_240 and discharging atoms aNaturalNumber0(all_0_10_10) = all_248_2_240, aNaturalNumber0(all_0_10_10) = all_220_2_182, yields:
% 61.29/26.54 | (894) all_248_2_240 = all_220_2_182
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with all_0_10_10, all_212_2_164, 0 and discharging atoms aNaturalNumber0(all_0_10_10) = all_212_2_164, aNaturalNumber0(all_0_10_10) = 0, yields:
% 61.29/26.54 | (895) all_212_2_164 = 0
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with all_0_10_10, all_212_2_164, all_220_2_182 and discharging atoms aNaturalNumber0(all_0_10_10) = all_220_2_182, aNaturalNumber0(all_0_10_10) = all_212_2_164, yields:
% 61.29/26.54 | (896) all_220_2_182 = all_212_2_164
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with all_0_10_10, all_206_2_149, all_248_2_240 and discharging atoms aNaturalNumber0(all_0_10_10) = all_248_2_240, aNaturalNumber0(all_0_10_10) = all_206_2_149, yields:
% 61.29/26.54 | (897) all_248_2_240 = all_206_2_149
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xr, all_262_8_285, all_270_1_293 and discharging atoms aNaturalNumber0(xr) = all_270_1_293, aNaturalNumber0(xr) = all_262_8_285, yields:
% 61.29/26.54 | (898) all_270_1_293 = all_262_8_285
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xr, all_260_8_276, all_262_6_283 and discharging atoms aNaturalNumber0(xr) = all_262_6_283, aNaturalNumber0(xr) = all_260_8_276, yields:
% 61.29/26.54 | (899) all_262_6_283 = all_260_8_276
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xr, all_258_2_267, all_262_6_283 and discharging atoms aNaturalNumber0(xr) = all_262_6_283, aNaturalNumber0(xr) = all_258_2_267, yields:
% 61.29/26.54 | (900) all_262_6_283 = all_258_2_267
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xr, all_256_4_264, all_262_8_285 and discharging atoms aNaturalNumber0(xr) = all_262_8_285, aNaturalNumber0(xr) = all_256_4_264, yields:
% 61.29/26.54 | (901) all_262_8_285 = all_256_4_264
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xr, all_254_6_257, all_258_2_267 and discharging atoms aNaturalNumber0(xr) = all_258_2_267, aNaturalNumber0(xr) = all_254_6_257, yields:
% 61.29/26.54 | (902) all_258_2_267 = all_254_6_257
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xr, all_254_6_257, all_256_4_264 and discharging atoms aNaturalNumber0(xr) = all_256_4_264, aNaturalNumber0(xr) = all_254_6_257, yields:
% 61.29/26.54 | (903) all_256_4_264 = all_254_6_257
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xr, all_252_2_250, all_256_4_264 and discharging atoms aNaturalNumber0(xr) = all_256_4_264, aNaturalNumber0(xr) = all_252_2_250, yields:
% 61.29/26.54 | (904) all_256_4_264 = all_252_2_250
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xr, all_232_2_212, all_270_1_293 and discharging atoms aNaturalNumber0(xr) = all_270_1_293, aNaturalNumber0(xr) = all_232_2_212, yields:
% 61.29/26.54 | (905) all_270_1_293 = all_232_2_212
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xr, all_228_6_204, all_262_8_285 and discharging atoms aNaturalNumber0(xr) = all_262_8_285, aNaturalNumber0(xr) = all_228_6_204, yields:
% 61.29/26.54 | (906) all_262_8_285 = all_228_6_204
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xr, all_220_1_181, 0 and discharging atoms aNaturalNumber0(xr) = all_220_1_181, aNaturalNumber0(xr) = 0, yields:
% 61.29/26.54 | (907) all_220_1_181 = 0
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xr, all_220_1_181, all_254_8_259 and discharging atoms aNaturalNumber0(xr) = all_254_8_259, aNaturalNumber0(xr) = all_220_1_181, yields:
% 61.29/26.54 | (908) all_254_8_259 = all_220_1_181
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xr, all_220_1_181, all_228_6_204 and discharging atoms aNaturalNumber0(xr) = all_228_6_204, aNaturalNumber0(xr) = all_220_1_181, yields:
% 61.29/26.54 | (909) all_228_6_204 = all_220_1_181
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xr, all_212_1_163, all_262_6_283 and discharging atoms aNaturalNumber0(xr) = all_262_6_283, aNaturalNumber0(xr) = all_212_1_163, yields:
% 61.29/26.54 | (910) all_262_6_283 = all_212_1_163
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xr, all_198_2_135, all_254_8_259 and discharging atoms aNaturalNumber0(xr) = all_254_8_259, aNaturalNumber0(xr) = all_198_2_135, yields:
% 61.29/26.54 | (911) all_254_8_259 = all_198_2_135
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xp, all_260_6_274, all_275_1_296 and discharging atoms aNaturalNumber0(xp) = all_275_1_296, aNaturalNumber0(xp) = all_260_6_274, yields:
% 61.29/26.54 | (912) all_275_1_296 = all_260_6_274
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xp, all_240_2_228, all_260_6_274 and discharging atoms aNaturalNumber0(xp) = all_260_6_274, aNaturalNumber0(xp) = all_240_2_228, yields:
% 61.29/26.54 | (913) all_260_6_274 = all_240_2_228
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xp, all_236_1_219, all_240_2_228 and discharging atoms aNaturalNumber0(xp) = all_240_2_228, aNaturalNumber0(xp) = all_236_1_219, yields:
% 61.29/26.54 | (914) all_240_2_228 = all_236_1_219
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xp, all_234_1_216, all_236_1_219 and discharging atoms aNaturalNumber0(xp) = all_236_1_219, aNaturalNumber0(xp) = all_234_1_216, yields:
% 61.29/26.54 | (915) all_236_1_219 = all_234_1_216
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xp, all_228_8_206, all_234_1_216 and discharging atoms aNaturalNumber0(xp) = all_234_1_216, aNaturalNumber0(xp) = all_228_8_206, yields:
% 61.29/26.54 | (916) all_234_1_216 = all_228_8_206
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xp, all_226_6_195, all_228_8_206 and discharging atoms aNaturalNumber0(xp) = all_228_8_206, aNaturalNumber0(xp) = all_226_6_195, yields:
% 61.29/26.54 | (917) all_228_8_206 = all_226_6_195
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xp, all_226_8_197, all_226_6_195 and discharging atoms aNaturalNumber0(xp) = all_226_6_195, aNaturalNumber0(xp) = all_226_8_197, yields:
% 61.29/26.54 | (918) all_226_6_195 = all_226_8_197
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xp, all_216_2_176, all_226_8_197 and discharging atoms aNaturalNumber0(xp) = all_226_8_197, aNaturalNumber0(xp) = all_216_2_176, yields:
% 61.29/26.54 | (919) all_226_8_197 = all_216_2_176
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xp, all_214_6_171, all_216_2_176 and discharging atoms aNaturalNumber0(xp) = all_216_2_176, aNaturalNumber0(xp) = all_214_6_171, yields:
% 61.29/26.54 | (920) all_216_2_176 = all_214_6_171
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xp, all_210_2_159, 0 and discharging atoms aNaturalNumber0(xp) = all_210_2_159, aNaturalNumber0(xp) = 0, yields:
% 61.29/26.54 | (921) all_210_2_159 = 0
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xp, all_210_2_159, all_214_6_171 and discharging atoms aNaturalNumber0(xp) = all_214_6_171, aNaturalNumber0(xp) = all_210_2_159, yields:
% 61.29/26.54 | (922) all_214_6_171 = all_210_2_159
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xp, all_204_2_146, all_275_1_296 and discharging atoms aNaturalNumber0(xp) = all_275_1_296, aNaturalNumber0(xp) = all_204_2_146, yields:
% 61.29/26.54 | (923) all_275_1_296 = all_204_2_146
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xm, all_236_2_220, all_256_2_262 and discharging atoms aNaturalNumber0(xm) = all_256_2_262, aNaturalNumber0(xm) = all_236_2_220, yields:
% 61.29/26.54 | (924) all_256_2_262 = all_236_2_220
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xm, all_234_2_217, all_242_2_231 and discharging atoms aNaturalNumber0(xm) = all_242_2_231, aNaturalNumber0(xm) = all_234_2_217, yields:
% 61.29/26.54 | (925) all_242_2_231 = all_234_2_217
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xm, all_232_3_213, 0 and discharging atoms aNaturalNumber0(xm) = all_232_3_213, aNaturalNumber0(xm) = 0, yields:
% 61.29/26.54 | (926) all_232_3_213 = 0
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xm, all_232_3_213, all_242_2_231 and discharging atoms aNaturalNumber0(xm) = all_242_2_231, aNaturalNumber0(xm) = all_232_3_213, yields:
% 61.29/26.54 | (927) all_242_2_231 = all_232_3_213
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xm, all_224_2_188, all_236_2_220 and discharging atoms aNaturalNumber0(xm) = all_236_2_220, aNaturalNumber0(xm) = all_224_2_188, yields:
% 61.29/26.54 | (928) all_236_2_220 = all_224_2_188
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xm, all_218_2_179, all_224_2_188 and discharging atoms aNaturalNumber0(xm) = all_224_2_188, aNaturalNumber0(xm) = all_218_2_179, yields:
% 61.29/26.54 | (929) all_224_2_188 = all_218_2_179
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xm, all_214_8_173, all_232_3_213 and discharging atoms aNaturalNumber0(xm) = all_232_3_213, aNaturalNumber0(xm) = all_214_8_173, yields:
% 61.29/26.54 | (930) all_232_3_213 = all_214_8_173
% 61.29/26.54 |
% 61.29/26.54 | Instantiating formula (65) with xm, all_214_8_173, all_224_2_188 and discharging atoms aNaturalNumber0(xm) = all_224_2_188, aNaturalNumber0(xm) = all_214_8_173, yields:
% 61.29/26.55 | (931) all_224_2_188 = all_214_8_173
% 61.29/26.55 |
% 61.29/26.55 | Instantiating formula (65) with xm, all_210_4_161, all_242_2_231 and discharging atoms aNaturalNumber0(xm) = all_242_2_231, aNaturalNumber0(xm) = all_210_4_161, yields:
% 61.29/26.55 | (932) all_242_2_231 = all_210_4_161
% 61.29/26.55 |
% 61.29/26.55 | Instantiating formula (65) with xm, all_208_4_156, all_256_2_262 and discharging atoms aNaturalNumber0(xm) = all_256_2_262, aNaturalNumber0(xm) = all_208_4_156, yields:
% 61.29/26.55 | (933) all_256_2_262 = all_208_4_156
% 61.29/26.55 |
% 61.29/26.55 | Instantiating formula (65) with xm, all_206_4_151, all_238_3_224 and discharging atoms aNaturalNumber0(xm) = all_238_3_224, aNaturalNumber0(xm) = all_206_4_151, yields:
% 61.29/26.55 | (934) all_238_3_224 = all_206_4_151
% 61.29/26.55 |
% 61.29/26.55 | Instantiating formula (65) with xm, all_202_2_143, all_232_3_213 and discharging atoms aNaturalNumber0(xm) = all_232_3_213, aNaturalNumber0(xm) = all_202_2_143, yields:
% 61.29/26.55 | (935) all_232_3_213 = all_202_2_143
% 61.29/26.55 |
% 61.29/26.55 | Instantiating formula (65) with xm, all_202_2_143, all_206_4_151 and discharging atoms aNaturalNumber0(xm) = all_206_4_151, aNaturalNumber0(xm) = all_202_2_143, yields:
% 61.29/26.55 | (936) all_206_4_151 = all_202_2_143
% 61.29/26.55 |
% 61.29/26.55 | Instantiating formula (65) with xm, all_200_2_140, all_202_2_143 and discharging atoms aNaturalNumber0(xm) = all_202_2_143, aNaturalNumber0(xm) = all_200_2_140, yields:
% 61.29/26.55 | (937) all_202_2_143 = all_200_2_140
% 61.29/26.55 |
% 61.29/26.55 | Instantiating formula (65) with xm, all_198_4_137, all_238_3_224 and discharging atoms aNaturalNumber0(xm) = all_238_3_224, aNaturalNumber0(xm) = all_198_4_137, yields:
% 61.29/26.55 | (938) all_238_3_224 = all_198_4_137
% 61.29/26.55 |
% 61.29/26.55 | Instantiating formula (65) with xn, all_248_4_242, all_250_4_247 and discharging atoms aNaturalNumber0(xn) = all_250_4_247, aNaturalNumber0(xn) = all_248_4_242, yields:
% 61.29/26.55 | (939) all_250_4_247 = all_248_4_242
% 61.29/26.55 |
% 61.29/26.55 | Instantiating formula (65) with xn, all_246_2_237, all_250_4_247 and discharging atoms aNaturalNumber0(xn) = all_250_4_247, aNaturalNumber0(xn) = all_246_2_237, yields:
% 61.29/26.55 | (940) all_250_4_247 = all_246_2_237
% 61.29/26.55 |
% 61.29/26.55 | Instantiating formula (65) with xn, all_232_4_214, 0 and discharging atoms aNaturalNumber0(xn) = all_232_4_214, aNaturalNumber0(xn) = 0, yields:
% 61.29/26.55 | (941) all_232_4_214 = 0
% 61.29/26.55 |
% 61.29/26.55 | Instantiating formula (65) with xn, all_232_4_214, all_250_4_247 and discharging atoms aNaturalNumber0(xn) = all_250_4_247, aNaturalNumber0(xn) = all_232_4_214, yields:
% 61.29/26.55 | (942) all_250_4_247 = all_232_4_214
% 61.29/26.55 |
% 61.29/26.55 | Instantiating formula (65) with xn, all_232_4_214, all_244_2_234 and discharging atoms aNaturalNumber0(xn) = all_244_2_234, aNaturalNumber0(xn) = all_232_4_214, yields:
% 61.29/26.55 | (943) all_244_2_234 = all_232_4_214
% 61.29/26.55 |
% 61.29/26.55 | Instantiating formula (65) with xn, all_214_7_172, all_250_4_247 and discharging atoms aNaturalNumber0(xn) = all_250_4_247, aNaturalNumber0(xn) = all_214_7_172, yields:
% 61.29/26.55 | (944) all_250_4_247 = all_214_7_172
% 61.29/26.55 |
% 61.29/26.55 | Instantiating formula (65) with xn, all_210_3_160, all_248_4_242 and discharging atoms aNaturalNumber0(xn) = all_248_4_242, aNaturalNumber0(xn) = all_210_3_160, yields:
% 61.29/26.55 | (945) all_248_4_242 = all_210_3_160
% 61.29/26.55 |
% 61.29/26.55 | Instantiating formula (65) with xn, all_198_3_136, all_244_2_234 and discharging atoms aNaturalNumber0(xn) = all_244_2_234, aNaturalNumber0(xn) = all_198_3_136, yields:
% 61.29/26.55 | (946) all_244_2_234 = all_198_3_136
% 61.29/26.55 |
% 61.29/26.55 | Instantiating formula (65) with xn, all_196_3_131, all_214_7_172 and discharging atoms aNaturalNumber0(xn) = all_214_7_172, aNaturalNumber0(xn) = all_196_3_131, yields:
% 61.29/26.55 | (947) all_214_7_172 = all_196_3_131
% 61.29/26.55 |
% 61.29/26.55 | Instantiating formula (65) with xn, all_194_2_127, all_232_4_214 and discharging atoms aNaturalNumber0(xn) = all_232_4_214, aNaturalNumber0(xn) = all_194_2_127, yields:
% 61.29/26.55 | (948) all_232_4_214 = all_194_2_127
% 61.29/26.55 |
% 61.36/26.55 | Combining equations (912,923) yields a new equation:
% 61.36/26.55 | (949) all_260_6_274 = all_204_2_146
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 949 yields:
% 61.36/26.55 | (950) all_260_6_274 = all_204_2_146
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (874,873) yields a new equation:
% 61.36/26.55 | (951) all_238_4_225 = 0
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 951 yields:
% 61.36/26.55 | (952) all_238_4_225 = 0
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (898,905) yields a new equation:
% 61.36/26.55 | (953) all_262_8_285 = all_232_2_212
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 953 yields:
% 61.36/26.55 | (954) all_262_8_285 = all_232_2_212
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (910,899) yields a new equation:
% 61.36/26.55 | (955) all_260_8_276 = all_212_1_163
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (900,899) yields a new equation:
% 61.36/26.55 | (956) all_260_8_276 = all_258_2_267
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (901,954) yields a new equation:
% 61.36/26.55 | (957) all_256_4_264 = all_232_2_212
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 957 yields:
% 61.36/26.55 | (958) all_256_4_264 = all_232_2_212
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (906,954) yields a new equation:
% 61.36/26.55 | (959) all_232_2_212 = all_228_6_204
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (913,950) yields a new equation:
% 61.36/26.55 | (960) all_240_2_228 = all_204_2_146
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 960 yields:
% 61.36/26.55 | (961) all_240_2_228 = all_204_2_146
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (956,955) yields a new equation:
% 61.36/26.55 | (962) all_258_2_267 = all_212_1_163
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 962 yields:
% 61.36/26.55 | (963) all_258_2_267 = all_212_1_163
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (902,963) yields a new equation:
% 61.36/26.55 | (964) all_254_6_257 = all_212_1_163
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 964 yields:
% 61.36/26.55 | (965) all_254_6_257 = all_212_1_163
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (924,933) yields a new equation:
% 61.36/26.55 | (966) all_236_2_220 = all_208_4_156
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 966 yields:
% 61.36/26.55 | (967) all_236_2_220 = all_208_4_156
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (877,878) yields a new equation:
% 61.36/26.55 | (968) all_254_7_258 = 0
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (879,878) yields a new equation:
% 61.36/26.55 | (969) all_254_7_258 = all_252_1_249
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (958,904) yields a new equation:
% 61.36/26.55 | (970) all_252_2_250 = all_232_2_212
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (903,904) yields a new equation:
% 61.36/26.55 | (971) all_254_6_257 = all_252_2_250
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 971 yields:
% 61.36/26.55 | (972) all_254_6_257 = all_252_2_250
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (972,965) yields a new equation:
% 61.36/26.55 | (973) all_252_2_250 = all_212_1_163
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 973 yields:
% 61.36/26.55 | (974) all_252_2_250 = all_212_1_163
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (968,969) yields a new equation:
% 61.36/26.55 | (975) all_252_1_249 = 0
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (908,911) yields a new equation:
% 61.36/26.55 | (976) all_220_1_181 = all_198_2_135
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 976 yields:
% 61.36/26.55 | (977) all_220_1_181 = all_198_2_135
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (970,974) yields a new equation:
% 61.36/26.55 | (978) all_232_2_212 = all_212_1_163
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 978 yields:
% 61.36/26.55 | (979) all_232_2_212 = all_212_1_163
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (939,940) yields a new equation:
% 61.36/26.55 | (980) all_248_4_242 = all_246_2_237
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 980 yields:
% 61.36/26.55 | (981) all_248_4_242 = all_246_2_237
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (944,940) yields a new equation:
% 61.36/26.55 | (982) all_246_2_237 = all_214_7_172
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (942,940) yields a new equation:
% 61.36/26.55 | (983) all_246_2_237 = all_232_4_214
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (894,897) yields a new equation:
% 61.36/26.55 | (984) all_220_2_182 = all_206_2_149
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 984 yields:
% 61.36/26.55 | (985) all_220_2_182 = all_206_2_149
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (981,945) yields a new equation:
% 61.36/26.55 | (986) all_246_2_237 = all_210_3_160
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 986 yields:
% 61.36/26.55 | (987) all_246_2_237 = all_210_3_160
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (982,987) yields a new equation:
% 61.36/26.55 | (988) all_214_7_172 = all_210_3_160
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 988 yields:
% 61.36/26.55 | (989) all_214_7_172 = all_210_3_160
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (983,987) yields a new equation:
% 61.36/26.55 | (990) all_232_4_214 = all_210_3_160
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 990 yields:
% 61.36/26.55 | (991) all_232_4_214 = all_210_3_160
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (880,881) yields a new equation:
% 61.36/26.55 | (992) all_234_0_215 = all_230_1_208
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 992 yields:
% 61.36/26.55 | (993) all_234_0_215 = all_230_1_208
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (943,946) yields a new equation:
% 61.36/26.55 | (994) all_232_4_214 = all_198_3_136
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 994 yields:
% 61.36/26.55 | (995) all_232_4_214 = all_198_3_136
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (887,892) yields a new equation:
% 61.36/26.55 | (996) all_230_2_209 = all_218_1_178
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 996 yields:
% 61.36/26.55 | (997) all_230_2_209 = all_218_1_178
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (927,925) yields a new equation:
% 61.36/26.55 | (998) all_234_2_217 = all_232_3_213
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (932,925) yields a new equation:
% 61.36/26.55 | (999) all_234_2_217 = all_210_4_161
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (886,884) yields a new equation:
% 61.36/26.55 | (1000) all_208_2_154 = all_22_2_30
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 1000 yields:
% 61.36/26.55 | (1001) all_208_2_154 = all_22_2_30
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (914,961) yields a new equation:
% 61.36/26.55 | (1002) all_236_1_219 = all_204_2_146
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 1002 yields:
% 61.36/26.55 | (1003) all_236_1_219 = all_204_2_146
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (934,938) yields a new equation:
% 61.36/26.55 | (1004) all_206_4_151 = all_198_4_137
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 1004 yields:
% 61.36/26.55 | (1005) all_206_4_151 = all_198_4_137
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (875,952) yields a new equation:
% 61.36/26.55 | (1006) all_196_4_132 = 0
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 1006 yields:
% 61.36/26.55 | (1007) all_196_4_132 = 0
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (915,1003) yields a new equation:
% 61.36/26.55 | (1008) all_234_1_216 = all_204_2_146
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 1008 yields:
% 61.36/26.55 | (1009) all_234_1_216 = all_204_2_146
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (928,967) yields a new equation:
% 61.36/26.55 | (1010) all_224_2_188 = all_208_4_156
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 1010 yields:
% 61.36/26.55 | (1011) all_224_2_188 = all_208_4_156
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (882,993) yields a new equation:
% 61.36/26.55 | (1012) all_230_1_208 = all_222_1_184
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (883,993) yields a new equation:
% 61.36/26.55 | (1013) all_230_1_208 = all_194_1_126
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (916,1009) yields a new equation:
% 61.36/26.55 | (1014) all_228_8_206 = all_204_2_146
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 1014 yields:
% 61.36/26.55 | (1015) all_228_8_206 = all_204_2_146
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (998,999) yields a new equation:
% 61.36/26.55 | (1016) all_232_3_213 = all_210_4_161
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 1016 yields:
% 61.36/26.55 | (1017) all_232_3_213 = all_210_4_161
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (959,979) yields a new equation:
% 61.36/26.55 | (1018) all_228_6_204 = all_212_1_163
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 1018 yields:
% 61.36/26.55 | (1019) all_228_6_204 = all_212_1_163
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (926,1017) yields a new equation:
% 61.36/26.55 | (1020) all_210_4_161 = 0
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (935,1017) yields a new equation:
% 61.36/26.55 | (1021) all_210_4_161 = all_202_2_143
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (930,1017) yields a new equation:
% 61.36/26.55 | (1022) all_214_8_173 = all_210_4_161
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 1022 yields:
% 61.36/26.55 | (1023) all_214_8_173 = all_210_4_161
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (948,995) yields a new equation:
% 61.36/26.55 | (1024) all_198_3_136 = all_194_2_127
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (941,995) yields a new equation:
% 61.36/26.55 | (1025) all_198_3_136 = 0
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (991,995) yields a new equation:
% 61.36/26.55 | (1026) all_210_3_160 = all_198_3_136
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 1026 yields:
% 61.36/26.55 | (1027) all_210_3_160 = all_198_3_136
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (1012,1013) yields a new equation:
% 61.36/26.55 | (1028) all_222_1_184 = all_194_1_126
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 1028 yields:
% 61.36/26.55 | (1029) all_222_1_184 = all_194_1_126
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (891,888) yields a new equation:
% 61.36/26.55 | (1030) all_224_1_187 = all_222_2_185
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (997,888) yields a new equation:
% 61.36/26.55 | (1031) all_224_1_187 = all_218_1_178
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (909,1019) yields a new equation:
% 61.36/26.55 | (1032) all_220_1_181 = all_212_1_163
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 1032 yields:
% 61.36/26.55 | (1033) all_220_1_181 = all_212_1_163
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (917,1015) yields a new equation:
% 61.36/26.55 | (1034) all_226_6_195 = all_204_2_146
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 1034 yields:
% 61.36/26.55 | (1035) all_226_6_195 = all_204_2_146
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (918,1035) yields a new equation:
% 61.36/26.55 | (1036) all_226_8_197 = all_204_2_146
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 1036 yields:
% 61.36/26.55 | (1037) all_226_8_197 = all_204_2_146
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (919,1037) yields a new equation:
% 61.36/26.55 | (1038) all_216_2_176 = all_204_2_146
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 1038 yields:
% 61.36/26.55 | (1039) all_216_2_176 = all_204_2_146
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (1030,1031) yields a new equation:
% 61.36/26.55 | (1040) all_222_2_185 = all_218_1_178
% 61.36/26.55 |
% 61.36/26.55 | Simplifying 1040 yields:
% 61.36/26.55 | (1041) all_222_2_185 = all_218_1_178
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (931,929) yields a new equation:
% 61.36/26.55 | (1042) all_218_2_179 = all_214_8_173
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (1011,929) yields a new equation:
% 61.36/26.55 | (1043) all_218_2_179 = all_208_4_156
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (893,1041) yields a new equation:
% 61.36/26.55 | (1044) all_218_1_178 = all_200_1_139
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (890,1041) yields a new equation:
% 61.36/26.55 | (1045) all_218_1_178 = all_20_4_27
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (907,1033) yields a new equation:
% 61.36/26.55 | (1046) all_212_1_163 = 0
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (977,1033) yields a new equation:
% 61.36/26.55 | (1047) all_212_1_163 = all_198_2_135
% 61.36/26.55 |
% 61.36/26.55 | Combining equations (896,985) yields a new equation:
% 61.36/26.55 | (1048) all_212_2_164 = all_206_2_149
% 61.36/26.56 |
% 61.36/26.56 | Simplifying 1048 yields:
% 61.36/26.56 | (1049) all_212_2_164 = all_206_2_149
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (1045,1044) yields a new equation:
% 61.36/26.56 | (1050) all_200_1_139 = all_20_4_27
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (1042,1043) yields a new equation:
% 61.36/26.56 | (1051) all_214_8_173 = all_208_4_156
% 61.36/26.56 |
% 61.36/26.56 | Simplifying 1051 yields:
% 61.36/26.56 | (1052) all_214_8_173 = all_208_4_156
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (920,1039) yields a new equation:
% 61.36/26.56 | (1053) all_214_6_171 = all_204_2_146
% 61.36/26.56 |
% 61.36/26.56 | Simplifying 1053 yields:
% 61.36/26.56 | (1054) all_214_6_171 = all_204_2_146
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (922,1054) yields a new equation:
% 61.36/26.56 | (1055) all_210_2_159 = all_204_2_146
% 61.36/26.56 |
% 61.36/26.56 | Simplifying 1055 yields:
% 61.36/26.56 | (1056) all_210_2_159 = all_204_2_146
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (989,947) yields a new equation:
% 61.36/26.56 | (1057) all_210_3_160 = all_196_3_131
% 61.36/26.56 |
% 61.36/26.56 | Simplifying 1057 yields:
% 61.36/26.56 | (1058) all_210_3_160 = all_196_3_131
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (1023,1052) yields a new equation:
% 61.36/26.56 | (1059) all_210_4_161 = all_208_4_156
% 61.36/26.56 |
% 61.36/26.56 | Simplifying 1059 yields:
% 61.36/26.56 | (1060) all_210_4_161 = all_208_4_156
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (1046,1047) yields a new equation:
% 61.36/26.56 | (1061) all_198_2_135 = 0
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (895,1049) yields a new equation:
% 61.36/26.56 | (1062) all_206_2_149 = 0
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (921,1056) yields a new equation:
% 61.36/26.56 | (1063) all_204_2_146 = 0
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (1027,1058) yields a new equation:
% 61.36/26.56 | (1064) all_198_3_136 = all_196_3_131
% 61.36/26.56 |
% 61.36/26.56 | Simplifying 1064 yields:
% 61.36/26.56 | (1065) all_198_3_136 = all_196_3_131
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (1020,1060) yields a new equation:
% 61.36/26.56 | (1066) all_208_4_156 = 0
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (1021,1060) yields a new equation:
% 61.36/26.56 | (1067) all_208_4_156 = all_202_2_143
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (1067,1066) yields a new equation:
% 61.36/26.56 | (1068) all_202_2_143 = 0
% 61.36/26.56 |
% 61.36/26.56 | Simplifying 1068 yields:
% 61.36/26.56 | (1069) all_202_2_143 = 0
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (936,1005) yields a new equation:
% 61.36/26.56 | (1070) all_202_2_143 = all_198_4_137
% 61.36/26.56 |
% 61.36/26.56 | Simplifying 1070 yields:
% 61.36/26.56 | (1071) all_202_2_143 = all_198_4_137
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (1071,937) yields a new equation:
% 61.36/26.56 | (1072) all_200_2_140 = all_198_4_137
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (1069,937) yields a new equation:
% 61.36/26.56 | (1073) all_200_2_140 = 0
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (1072,1073) yields a new equation:
% 61.36/26.56 | (1074) all_198_4_137 = 0
% 61.36/26.56 |
% 61.36/26.56 | Simplifying 1074 yields:
% 61.36/26.56 | (1075) all_198_4_137 = 0
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (1025,1065) yields a new equation:
% 61.36/26.56 | (1076) all_196_3_131 = 0
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (1024,1065) yields a new equation:
% 61.36/26.56 | (1077) all_196_3_131 = all_194_2_127
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (1077,1076) yields a new equation:
% 61.36/26.56 | (1078) all_194_2_127 = 0
% 61.36/26.56 |
% 61.36/26.56 | Simplifying 1078 yields:
% 61.36/26.56 | (1079) all_194_2_127 = 0
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (1066,1060) yields a new equation:
% 61.36/26.56 | (1020) all_210_4_161 = 0
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (1050,1044) yields a new equation:
% 61.36/26.56 | (1045) all_218_1_178 = all_20_4_27
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (1045,1041) yields a new equation:
% 61.36/26.56 | (890) all_222_2_185 = all_20_4_27
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (1020,999) yields a new equation:
% 61.36/26.56 | (1083) all_234_2_217 = 0
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (1063,1009) yields a new equation:
% 61.36/26.56 | (1084) all_234_1_216 = 0
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (1013,993) yields a new equation:
% 61.36/26.56 | (883) all_234_0_215 = all_194_1_126
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (1063,961) yields a new equation:
% 61.36/26.56 | (1086) all_240_2_228 = 0
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (1083,925) yields a new equation:
% 61.36/26.56 | (1087) all_242_2_231 = 0
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (1045,892) yields a new equation:
% 61.36/26.56 | (1088) all_242_1_230 = all_20_4_27
% 61.36/26.56 |
% 61.36/26.56 | From (1007) and (614) follows:
% 61.36/26.56 | (290) aNaturalNumber0(all_87_0_124) = 0
% 61.36/26.56 |
% 61.36/26.56 | From (876) and (843) follows:
% 61.36/26.56 | (282) aNaturalNumber0(all_82_0_123) = 0
% 61.36/26.56 |
% 61.36/26.56 | From (975) and (789) follows:
% 61.36/26.56 | (492) aNaturalNumber0(all_54_2_110) = 0
% 61.36/26.56 |
% 61.36/26.56 | From (1029) and (694) follows:
% 61.36/26.56 | (607) aNaturalNumber0(all_20_1_24) = all_194_1_126
% 61.36/26.56 |
% 61.36/26.56 | From (1050) and (627) follows:
% 61.36/26.56 | (154) aNaturalNumber0(all_0_4_4) = all_20_4_27
% 61.36/26.56 |
% 61.36/26.56 | From (1062) and (641) follows:
% 61.36/26.56 | (512) aNaturalNumber0(all_0_10_10) = 0
% 61.36/26.56 |
% 61.36/26.56 | From (1061) and (623) follows:
% 61.36/26.56 | (8) aNaturalNumber0(xr) = 0
% 61.36/26.56 |
% 61.36/26.56 | From (1063) and (638) follows:
% 61.36/26.56 | (69) aNaturalNumber0(xp) = 0
% 61.36/26.56 |
% 61.36/26.56 | From (1075) and (620) follows:
% 61.36/26.56 | (12) aNaturalNumber0(xm) = 0
% 61.36/26.56 |
% 61.36/26.56 | From (1079) and (609) follows:
% 61.36/26.56 | (20) aNaturalNumber0(xn) = 0
% 61.36/26.56 |
% 61.36/26.56 +-Applying beta-rule and splitting (596), into two cases.
% 61.36/26.56 |-Branch one:
% 61.36/26.56 | (1099) xp = xn
% 61.36/26.56 |
% 61.36/26.56 | Equations (1099) can reduce 76 to:
% 61.36/26.56 | (241) $false
% 61.36/26.56 |
% 61.36/26.56 |-The branch is then unsatisfiable
% 61.36/26.56 |-Branch two:
% 61.36/26.56 | (76) ~ (xp = xn)
% 61.36/26.56 | (1102) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(xp, xm) = v4 & sdtpldt0(xn, xm) = v3 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v4 = v3) & ~ (all_20_1_24 = all_0_10_10))))
% 61.36/26.56 |
% 61.36/26.56 | Instantiating (1102) with all_310_0_300, all_310_1_301, all_310_2_302, all_310_3_303, all_310_4_304 yields:
% 61.36/26.56 | (1103) sdtpldt0(xp, xm) = all_310_0_300 & sdtpldt0(xn, xm) = all_310_1_301 & aNaturalNumber0(xp) = all_310_2_302 & aNaturalNumber0(xm) = all_310_4_304 & aNaturalNumber0(xn) = all_310_3_303 & ( ~ (all_310_2_302 = 0) | ~ (all_310_3_303 = 0) | ~ (all_310_4_304 = 0) | ( ~ (all_310_0_300 = all_310_1_301) & ~ (all_20_1_24 = all_0_10_10)))
% 61.36/26.56 |
% 61.36/26.56 | Applying alpha-rule on (1103) yields:
% 61.36/26.56 | (1104) sdtpldt0(xn, xm) = all_310_1_301
% 61.36/26.56 | (1105) ~ (all_310_2_302 = 0) | ~ (all_310_3_303 = 0) | ~ (all_310_4_304 = 0) | ( ~ (all_310_0_300 = all_310_1_301) & ~ (all_20_1_24 = all_0_10_10))
% 61.36/26.56 | (1106) aNaturalNumber0(xp) = all_310_2_302
% 61.36/26.56 | (1107) aNaturalNumber0(xm) = all_310_4_304
% 61.36/26.56 | (1108) aNaturalNumber0(xn) = all_310_3_303
% 61.36/26.56 | (1109) sdtpldt0(xp, xm) = all_310_0_300
% 61.36/26.56 |
% 61.36/26.56 +-Applying beta-rule and splitting (557), into two cases.
% 61.36/26.56 |-Branch one:
% 61.36/26.56 | (1110) all_82_0_123 = xr
% 61.36/26.56 |
% 61.36/26.56 | Equations (1110) can reduce 294 to:
% 61.36/26.56 | (98) ~ (xr = sz00)
% 61.36/26.56 |
% 61.36/26.56 | From (1110) and (282) follows:
% 61.36/26.56 | (8) aNaturalNumber0(xr) = 0
% 61.36/26.56 |
% 61.36/26.56 +-Applying beta-rule and splitting (740), into two cases.
% 61.36/26.56 |-Branch one:
% 61.36/26.56 | (1113) ~ (all_234_1_216 = 0)
% 61.36/26.56 |
% 61.36/26.56 | Equations (1084) can reduce 1113 to:
% 61.36/26.56 | (241) $false
% 61.36/26.56 |
% 61.36/26.56 |-The branch is then unsatisfiable
% 61.36/26.56 |-Branch two:
% 61.36/26.56 | (1084) all_234_1_216 = 0
% 61.36/26.56 | (1116) ~ (all_234_2_217 = 0) | all_234_0_215 = 0
% 61.36/26.56 |
% 61.36/26.56 +-Applying beta-rule and splitting (1116), into two cases.
% 61.36/26.56 |-Branch one:
% 61.36/26.56 | (1117) ~ (all_234_2_217 = 0)
% 61.36/26.56 |
% 61.36/26.56 | Equations (1083) can reduce 1117 to:
% 61.36/26.56 | (241) $false
% 61.36/26.56 |
% 61.36/26.56 |-The branch is then unsatisfiable
% 61.36/26.56 |-Branch two:
% 61.36/26.56 | (1083) all_234_2_217 = 0
% 61.36/26.56 | (1120) all_234_0_215 = 0
% 61.36/26.56 |
% 61.36/26.56 | Combining equations (883,1120) yields a new equation:
% 61.36/26.56 | (1121) all_194_1_126 = 0
% 61.36/26.56 |
% 61.36/26.56 | Simplifying 1121 yields:
% 61.36/26.56 | (1122) all_194_1_126 = 0
% 61.36/26.56 |
% 61.36/26.56 | From (1122) and (607) follows:
% 61.36/26.56 | (1123) aNaturalNumber0(all_20_1_24) = 0
% 61.36/26.56 |
% 61.36/26.56 | Instantiating formula (65) with xp, all_310_2_302, 0 and discharging atoms aNaturalNumber0(xp) = all_310_2_302, aNaturalNumber0(xp) = 0, yields:
% 61.36/26.56 | (1124) all_310_2_302 = 0
% 61.36/26.56 |
% 61.36/26.56 | Instantiating formula (65) with xm, all_310_4_304, 0 and discharging atoms aNaturalNumber0(xm) = all_310_4_304, aNaturalNumber0(xm) = 0, yields:
% 61.36/26.56 | (1125) all_310_4_304 = 0
% 61.36/26.56 |
% 61.36/26.56 | Instantiating formula (65) with xn, all_310_3_303, 0 and discharging atoms aNaturalNumber0(xn) = all_310_3_303, aNaturalNumber0(xn) = 0, yields:
% 61.36/26.56 | (1126) all_310_3_303 = 0
% 61.36/26.56 |
% 61.36/26.56 | From (1124) and (1106) follows:
% 61.36/26.56 | (69) aNaturalNumber0(xp) = 0
% 61.36/26.56 |
% 61.36/26.56 | From (1125) and (1107) follows:
% 61.36/26.56 | (12) aNaturalNumber0(xm) = 0
% 61.36/26.56 |
% 61.36/26.56 | From (1126) and (1108) follows:
% 61.36/26.56 | (20) aNaturalNumber0(xn) = 0
% 61.36/26.56 |
% 61.36/26.56 +-Applying beta-rule and splitting (595), into two cases.
% 61.36/26.56 |-Branch one:
% 61.36/26.56 | (1099) xp = xn
% 61.36/26.56 |
% 61.36/26.56 | Equations (1099) can reduce 76 to:
% 61.36/26.56 | (241) $false
% 61.36/26.56 |
% 61.36/26.56 |-The branch is then unsatisfiable
% 61.36/26.56 |-Branch two:
% 61.36/26.56 | (76) ~ (xp = xn)
% 61.36/26.56 | (1133) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(xp, xm) = v3 & sdtpldt0(xn, xm) = v4 & aNaturalNumber0(xp) = v1 & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v4 = v3) & ~ (all_20_1_24 = all_0_10_10))))
% 61.36/26.56 |
% 61.36/26.56 | Instantiating (1133) with all_512_0_305, all_512_1_306, all_512_2_307, all_512_3_308, all_512_4_309 yields:
% 61.36/26.56 | (1134) sdtpldt0(xp, xm) = all_512_1_306 & sdtpldt0(xn, xm) = all_512_0_305 & aNaturalNumber0(xp) = all_512_3_308 & aNaturalNumber0(xm) = all_512_4_309 & aNaturalNumber0(xn) = all_512_2_307 & ( ~ (all_512_2_307 = 0) | ~ (all_512_3_308 = 0) | ~ (all_512_4_309 = 0) | ( ~ (all_512_0_305 = all_512_1_306) & ~ (all_20_1_24 = all_0_10_10)))
% 61.36/26.56 |
% 61.36/26.56 | Applying alpha-rule on (1134) yields:
% 61.36/26.56 | (1135) sdtpldt0(xp, xm) = all_512_1_306
% 61.36/26.56 | (1136) aNaturalNumber0(xm) = all_512_4_309
% 61.36/26.56 | (1137) sdtpldt0(xn, xm) = all_512_0_305
% 61.36/26.56 | (1138) ~ (all_512_2_307 = 0) | ~ (all_512_3_308 = 0) | ~ (all_512_4_309 = 0) | ( ~ (all_512_0_305 = all_512_1_306) & ~ (all_20_1_24 = all_0_10_10))
% 61.36/26.56 | (1139) aNaturalNumber0(xp) = all_512_3_308
% 61.36/26.56 | (1140) aNaturalNumber0(xn) = all_512_2_307
% 61.36/26.56 |
% 61.36/26.56 | Instantiating formula (65) with xp, all_512_3_308, 0 and discharging atoms aNaturalNumber0(xp) = all_512_3_308, aNaturalNumber0(xp) = 0, yields:
% 61.36/26.56 | (1141) all_512_3_308 = 0
% 61.36/26.56 |
% 61.36/26.56 | Instantiating formula (65) with xm, all_512_4_309, 0 and discharging atoms aNaturalNumber0(xm) = all_512_4_309, aNaturalNumber0(xm) = 0, yields:
% 61.36/26.56 | (1142) all_512_4_309 = 0
% 61.36/26.56 |
% 61.36/26.56 | Instantiating formula (65) with xn, all_512_2_307, 0 and discharging atoms aNaturalNumber0(xn) = all_512_2_307, aNaturalNumber0(xn) = 0, yields:
% 61.36/26.56 | (1143) all_512_2_307 = 0
% 61.36/26.56 |
% 61.36/26.56 | From (1141) and (1139) follows:
% 61.36/26.56 | (69) aNaturalNumber0(xp) = 0
% 61.36/26.56 |
% 61.36/26.56 | From (1142) and (1136) follows:
% 61.36/26.56 | (12) aNaturalNumber0(xm) = 0
% 61.36/26.56 |
% 61.36/26.56 | From (1143) and (1140) follows:
% 61.36/26.56 | (20) aNaturalNumber0(xn) = 0
% 61.36/26.56 |
% 61.36/26.56 +-Applying beta-rule and splitting (563), into two cases.
% 61.36/26.56 |-Branch one:
% 61.36/26.56 | (267) xr = sz00
% 61.36/26.56 |
% 61.36/26.56 | Equations (267) can reduce 98 to:
% 61.36/26.56 | (241) $false
% 61.36/26.56 |
% 61.36/26.56 |-The branch is then unsatisfiable
% 61.36/26.56 |-Branch two:
% 61.36/26.56 | (98) ~ (xr = sz00)
% 61.36/26.57 | (1150) all_54_2_110 = all_0_4_4 | ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & aNaturalNumber0(all_54_2_110) = v0) | (doDivides0(xr, xn) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 61.36/26.57 |
% 61.36/26.57 +-Applying beta-rule and splitting (1150), into two cases.
% 61.36/26.57 |-Branch one:
% 61.36/26.57 | (1151) all_54_2_110 = all_0_4_4
% 61.36/26.57 |
% 61.36/26.57 | From (1151) and (492) follows:
% 61.36/26.57 | (1152) aNaturalNumber0(all_0_4_4) = 0
% 61.36/26.57 |
% 61.36/26.57 +-Applying beta-rule and splitting (889), into two cases.
% 61.36/26.57 |-Branch one:
% 61.36/26.57 | (1153) ~ (aNaturalNumber0(all_0_4_4) = 0)
% 61.36/26.57 |
% 61.36/26.57 | Using (1152) and (1153) yields:
% 61.36/26.57 | (484) $false
% 61.36/26.57 |
% 61.36/26.57 |-The branch is then unsatisfiable
% 61.36/26.57 |-Branch two:
% 61.36/26.57 | (1152) aNaturalNumber0(all_0_4_4) = 0
% 61.36/26.57 | (1156) all_222_2_185 = 0
% 61.36/26.57 |
% 61.36/26.57 | Combining equations (1156,890) yields a new equation:
% 61.36/26.57 | (1157) all_20_4_27 = 0
% 61.36/26.57 |
% 61.36/26.57 | Combining equations (1157,376) yields a new equation:
% 61.36/26.57 | (1158) all_32_2_47 = 0
% 61.36/26.57 |
% 61.36/26.57 | Combining equations (1157,368) yields a new equation:
% 61.36/26.57 | (1159) all_40_2_65 = 0
% 61.36/26.57 |
% 61.36/26.57 | Combining equations (1157,312) yields a new equation:
% 61.36/26.57 | (1160) all_65_2_119 = 0
% 61.36/26.57 |
% 61.36/26.57 | Combining equations (1157,1050) yields a new equation:
% 61.36/26.57 | (1161) all_200_1_139 = 0
% 61.36/26.57 |
% 61.36/26.57 | Combining equations (1157,1088) yields a new equation:
% 61.36/26.57 | (1162) all_242_1_230 = 0
% 61.36/26.57 |
% 61.36/26.57 | From (1157) and (154) follows:
% 61.36/26.57 | (1152) aNaturalNumber0(all_0_4_4) = 0
% 61.36/26.57 |
% 61.36/26.57 +-Applying beta-rule and splitting (212), into two cases.
% 61.36/26.57 |-Branch one:
% 61.36/26.57 | (1164) ~ (all_40_1_64 = 0)
% 61.36/26.57 |
% 61.36/26.57 | Equations (443) can reduce 1164 to:
% 61.36/26.57 | (241) $false
% 61.36/26.57 |
% 61.36/26.57 |-The branch is then unsatisfiable
% 61.36/26.57 |-Branch two:
% 61.36/26.57 | (443) all_40_1_64 = 0
% 61.36/26.57 | (1167) ~ (all_40_2_65 = 0) | all_40_0_63 = all_0_3_3
% 61.36/26.57 |
% 61.36/26.57 +-Applying beta-rule and splitting (1167), into two cases.
% 61.36/26.57 |-Branch one:
% 61.36/26.57 | (1168) ~ (all_40_2_65 = 0)
% 61.36/26.57 |
% 61.36/26.57 | Equations (1159) can reduce 1168 to:
% 61.36/26.57 | (241) $false
% 61.36/26.57 |
% 61.36/26.57 |-The branch is then unsatisfiable
% 61.36/26.57 |-Branch two:
% 61.36/26.57 | (1159) all_40_2_65 = 0
% 61.36/26.57 | (1171) all_40_0_63 = all_0_3_3
% 61.36/26.57 |
% 61.36/26.57 | From (1171) and (209) follows:
% 61.36/26.57 | (1172) sdtasdt0(xm, all_0_4_4) = all_0_3_3
% 61.36/26.57 |
% 61.36/26.57 +-Applying beta-rule and splitting (152), into two cases.
% 61.36/26.57 |-Branch one:
% 61.36/26.57 | (1173) ~ (all_20_2_25 = 0)
% 61.36/26.57 |
% 61.36/26.57 | Equations (433) can reduce 1173 to:
% 61.36/26.57 | (241) $false
% 61.36/26.57 |
% 61.36/26.57 |-The branch is then unsatisfiable
% 61.36/26.57 |-Branch two:
% 61.36/26.57 | (433) all_20_2_25 = 0
% 61.36/26.57 | (1176) ~ (all_20_3_26 = 0) | ~ (all_20_4_27 = 0) | all_20_0_23 = all_0_1_1
% 61.36/26.57 |
% 61.36/26.57 +-Applying beta-rule and splitting (593), into two cases.
% 61.36/26.57 |-Branch one:
% 61.36/26.57 | (249) all_0_4_4 = xn
% 61.36/26.57 |
% 61.36/26.57 | Equations (249) can reduce 10 to:
% 61.36/26.57 | (241) $false
% 61.36/26.57 |
% 61.36/26.57 |-The branch is then unsatisfiable
% 61.36/26.57 |-Branch two:
% 61.36/26.57 | (10) ~ (all_0_4_4 = xn)
% 61.36/26.57 | (1180) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_4_4, xm) = v3 & sdtpldt0(xn, xm) = v4 & aNaturalNumber0(all_0_4_4) = v1 & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v4 = v3) & ~ (all_32_0_45 = all_0_10_10))))
% 61.36/26.57 |
% 61.36/26.57 | Instantiating (1180) with all_590_0_310, all_590_1_311, all_590_2_312, all_590_3_313, all_590_4_314 yields:
% 61.36/26.57 | (1181) sdtpldt0(all_0_4_4, xm) = all_590_1_311 & sdtpldt0(xn, xm) = all_590_0_310 & aNaturalNumber0(all_0_4_4) = all_590_3_313 & aNaturalNumber0(xm) = all_590_4_314 & aNaturalNumber0(xn) = all_590_2_312 & ( ~ (all_590_2_312 = 0) | ~ (all_590_3_313 = 0) | ~ (all_590_4_314 = 0) | ( ~ (all_590_0_310 = all_590_1_311) & ~ (all_32_0_45 = all_0_10_10)))
% 61.36/26.57 |
% 61.36/26.57 | Applying alpha-rule on (1181) yields:
% 61.36/26.57 | (1182) aNaturalNumber0(xm) = all_590_4_314
% 61.36/26.57 | (1183) sdtpldt0(xn, xm) = all_590_0_310
% 61.36/26.57 | (1184) ~ (all_590_2_312 = 0) | ~ (all_590_3_313 = 0) | ~ (all_590_4_314 = 0) | ( ~ (all_590_0_310 = all_590_1_311) & ~ (all_32_0_45 = all_0_10_10))
% 61.36/26.57 | (1185) aNaturalNumber0(xn) = all_590_2_312
% 61.36/26.57 | (1186) sdtpldt0(all_0_4_4, xm) = all_590_1_311
% 61.36/26.57 | (1187) aNaturalNumber0(all_0_4_4) = all_590_3_313
% 61.36/26.57 |
% 61.36/26.57 +-Applying beta-rule and splitting (257), into two cases.
% 61.36/26.57 |-Branch one:
% 61.36/26.57 | (1188) ~ (all_65_0_117 = 0)
% 61.36/26.57 |
% 61.36/26.57 +-Applying beta-rule and splitting (1176), into two cases.
% 61.36/26.57 |-Branch one:
% 61.36/26.57 | (1189) ~ (all_20_3_26 = 0)
% 61.36/26.57 |
% 61.36/26.57 | Equations (432) can reduce 1189 to:
% 61.36/26.57 | (241) $false
% 61.36/26.57 |
% 61.36/26.57 |-The branch is then unsatisfiable
% 61.36/26.57 |-Branch two:
% 61.36/26.57 | (432) all_20_3_26 = 0
% 61.36/26.57 | (1192) ~ (all_20_4_27 = 0) | all_20_0_23 = all_0_1_1
% 61.36/26.57 |
% 61.36/26.57 +-Applying beta-rule and splitting (555), into two cases.
% 61.36/26.57 |-Branch one:
% 61.36/26.57 | (1193) all_87_0_124 = xp
% 61.36/26.57 |
% 61.36/26.57 | From (1193) and (290) follows:
% 61.36/26.57 | (69) aNaturalNumber0(xp) = 0
% 61.36/26.57 |
% 61.36/26.57 +-Applying beta-rule and splitting (762), into two cases.
% 61.36/26.57 |-Branch one:
% 61.36/26.57 | (1195) ~ (all_242_1_230 = 0)
% 61.36/26.57 |
% 61.36/26.57 | Equations (1162) can reduce 1195 to:
% 61.36/26.57 | (241) $false
% 61.36/26.57 |
% 61.36/26.57 |-The branch is then unsatisfiable
% 61.36/26.57 |-Branch two:
% 61.36/26.57 | (1162) all_242_1_230 = 0
% 61.36/26.57 | (1198) ~ (all_242_2_231 = 0) | all_242_0_229 = all_32_0_45
% 61.36/26.57 |
% 61.36/26.57 +-Applying beta-rule and splitting (1192), into two cases.
% 61.36/26.57 |-Branch one:
% 61.36/26.57 | (1199) ~ (all_20_4_27 = 0)
% 61.36/26.57 |
% 61.36/26.57 | Equations (1157) can reduce 1199 to:
% 61.36/26.57 | (241) $false
% 61.36/26.57 |
% 61.36/26.57 |-The branch is then unsatisfiable
% 61.36/26.57 |-Branch two:
% 61.36/26.57 | (1157) all_20_4_27 = 0
% 61.36/26.57 | (1202) all_20_0_23 = all_0_1_1
% 61.36/26.57 |
% 61.36/26.57 | From (1202) and (153) follows:
% 61.36/26.57 | (1203) sdtpldt0(all_0_4_4, all_20_1_24) = all_0_1_1
% 61.36/26.57 |
% 61.36/26.57 +-Applying beta-rule and splitting (1198), into two cases.
% 61.36/26.57 |-Branch one:
% 61.36/26.57 | (1204) ~ (all_242_2_231 = 0)
% 61.36/26.57 |
% 61.36/26.57 | Equations (1087) can reduce 1204 to:
% 61.36/26.57 | (241) $false
% 61.36/26.57 |
% 61.36/26.57 |-The branch is then unsatisfiable
% 61.36/26.57 |-Branch two:
% 61.36/26.57 | (1087) all_242_2_231 = 0
% 61.36/26.57 | (1207) all_242_0_229 = all_32_0_45
% 61.36/26.57 |
% 61.36/26.57 | Combining equations (872,1207) yields a new equation:
% 61.36/26.57 | (1208) all_32_0_45 = all_0_2_2
% 61.36/26.57 |
% 61.36/26.57 | From (1208) and (183) follows:
% 61.36/26.57 | (1209) sdtpldt0(xm, all_0_4_4) = all_0_2_2
% 61.36/26.57 |
% 61.36/26.57 | From (1208) and (626) follows:
% 61.36/26.57 | (1210) aNaturalNumber0(all_0_2_2) = all_200_0_138
% 61.36/26.57 |
% 61.36/26.57 +-Applying beta-rule and splitting (601), into two cases.
% 61.36/26.57 |-Branch one:
% 61.36/26.57 | (1211) ~ (sdtpldt0(all_0_4_4, all_20_1_24) = all_0_1_1)
% 61.36/26.57 |
% 61.36/26.57 | Using (1203) and (1211) yields:
% 61.36/26.57 | (484) $false
% 61.36/26.57 |
% 61.36/26.57 |-The branch is then unsatisfiable
% 61.36/26.57 |-Branch two:
% 61.36/26.57 | (1203) sdtpldt0(all_0_4_4, all_20_1_24) = all_0_1_1
% 61.36/26.57 | (1214) all_0_4_4 = xn | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ((sdtlseqdt0(v1, v2) = v3 & sdtpldt0(all_20_1_24, all_0_4_4) = v1 & sdtpldt0(all_20_1_24, xn) = v2 & aNaturalNumber0(all_20_1_24) = v0 & ( ~ (v0 = 0) | (v3 = 0 & all_0_0_0 = 0 & ~ (v2 = v1) & ~ (all_0_1_1 = all_0_9_9)))) | (aNaturalNumber0(all_0_4_4) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 61.36/26.57 |
% 61.36/26.57 +-Applying beta-rule and splitting (885), into two cases.
% 61.36/26.57 |-Branch one:
% 61.36/26.57 | (1215) ~ (aNaturalNumber0(all_0_2_2) = all_200_0_138)
% 61.36/26.57 |
% 61.36/26.57 | Using (1210) and (1215) yields:
% 61.36/26.57 | (484) $false
% 61.36/26.57 |
% 61.36/26.57 |-The branch is then unsatisfiable
% 61.36/26.57 |-Branch two:
% 61.36/26.57 | (1210) aNaturalNumber0(all_0_2_2) = all_200_0_138
% 61.36/26.57 | (1218) all_208_2_154 = all_200_0_138
% 61.36/26.57 |
% 61.36/26.57 | Combining equations (1001,1218) yields a new equation:
% 61.36/26.57 | (1219) all_200_0_138 = all_22_2_30
% 61.36/26.57 |
% 61.36/26.57 | From (1219) and (1210) follows:
% 61.36/26.57 | (157) aNaturalNumber0(all_0_2_2) = all_22_2_30
% 61.36/26.57 |
% 61.36/26.57 +-Applying beta-rule and splitting (586), into two cases.
% 61.36/26.57 |-Branch one:
% 61.36/26.57 | (1221) ~ (sdtpldt0(xm, all_0_4_4) = all_0_2_2)
% 61.36/26.57 |
% 61.36/26.57 | Using (1209) and (1221) yields:
% 61.36/26.57 | (484) $false
% 61.36/26.57 |
% 61.36/26.57 |-The branch is then unsatisfiable
% 61.36/26.57 |-Branch two:
% 61.36/26.57 | (1209) sdtpldt0(xm, all_0_4_4) = all_0_2_2
% 61.36/26.57 | (1224) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_4_4, xp) = v3 & sdtpldt0(xm, v3) = v4 & aNaturalNumber0(all_0_4_4) = v1 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_1_1))
% 61.36/26.57 |
% 61.36/26.57 | Instantiating (1224) with all_630_0_315, all_630_1_316, all_630_2_317, all_630_3_318, all_630_4_319 yields:
% 61.36/26.57 | (1225) sdtpldt0(all_0_4_4, xp) = all_630_1_316 & sdtpldt0(xm, all_630_1_316) = all_630_0_315 & aNaturalNumber0(all_0_4_4) = all_630_3_318 & aNaturalNumber0(xp) = all_630_2_317 & aNaturalNumber0(xm) = all_630_4_319 & ( ~ (all_630_2_317 = 0) | ~ (all_630_3_318 = 0) | ~ (all_630_4_319 = 0) | all_630_0_315 = all_0_1_1)
% 61.36/26.57 |
% 61.36/26.57 | Applying alpha-rule on (1225) yields:
% 61.36/26.57 | (1226) aNaturalNumber0(xm) = all_630_4_319
% 61.36/26.57 | (1227) aNaturalNumber0(xp) = all_630_2_317
% 61.36/26.57 | (1228) ~ (all_630_2_317 = 0) | ~ (all_630_3_318 = 0) | ~ (all_630_4_319 = 0) | all_630_0_315 = all_0_1_1
% 61.36/26.57 | (1229) aNaturalNumber0(all_0_4_4) = all_630_3_318
% 61.36/26.57 | (1230) sdtpldt0(all_0_4_4, xp) = all_630_1_316
% 61.36/26.57 | (1231) sdtpldt0(xm, all_630_1_316) = all_630_0_315
% 61.36/26.57 |
% 61.36/26.57 +-Applying beta-rule and splitting (1214), into two cases.
% 61.36/26.57 |-Branch one:
% 61.36/26.57 | (249) all_0_4_4 = xn
% 61.36/26.57 |
% 61.36/26.57 | Equations (249) can reduce 10 to:
% 61.36/26.57 | (241) $false
% 61.36/26.57 |
% 61.36/26.57 |-The branch is then unsatisfiable
% 61.36/26.57 |-Branch two:
% 61.36/26.57 | (10) ~ (all_0_4_4 = xn)
% 61.36/26.57 | (1235) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ((sdtlseqdt0(v1, v2) = v3 & sdtpldt0(all_20_1_24, all_0_4_4) = v1 & sdtpldt0(all_20_1_24, xn) = v2 & aNaturalNumber0(all_20_1_24) = v0 & ( ~ (v0 = 0) | (v3 = 0 & all_0_0_0 = 0 & ~ (v2 = v1) & ~ (all_0_1_1 = all_0_9_9)))) | (aNaturalNumber0(all_0_4_4) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 61.36/26.57 |
% 61.36/26.57 | Instantiating (1235) with all_639_0_320, all_639_1_321, all_639_2_322, all_639_3_323 yields:
% 61.36/26.57 | (1236) (sdtlseqdt0(all_639_2_322, all_639_1_321) = all_639_0_320 & sdtpldt0(all_20_1_24, all_0_4_4) = all_639_2_322 & sdtpldt0(all_20_1_24, xn) = all_639_1_321 & aNaturalNumber0(all_20_1_24) = all_639_3_323 & ( ~ (all_639_3_323 = 0) | (all_639_0_320 = 0 & all_0_0_0 = 0 & ~ (all_639_1_321 = all_639_2_322) & ~ (all_0_1_1 = all_0_9_9)))) | (aNaturalNumber0(all_0_4_4) = all_639_3_323 & aNaturalNumber0(xn) = all_639_2_322 & ( ~ (all_639_2_322 = 0) | ~ (all_639_3_323 = 0)))
% 61.36/26.57 |
% 61.36/26.57 +-Applying beta-rule and splitting (559), into two cases.
% 61.36/26.57 |-Branch one:
% 61.36/26.57 | (1237) all_65_0_117 = 0
% 61.36/26.57 |
% 61.36/26.57 | Equations (1237) can reduce 1188 to:
% 61.36/26.57 | (241) $false
% 61.36/26.57 |
% 61.36/26.57 |-The branch is then unsatisfiable
% 61.36/26.57 |-Branch two:
% 61.36/26.57 | (1188) ~ (all_65_0_117 = 0)
% 61.36/26.57 | (1240) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtlseqdt0(xp, all_0_4_4) = v3 & aNaturalNumber0(all_0_4_4) = v2 & aNaturalNumber0(xp) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 61.36/26.57 |
% 61.36/26.57 | Instantiating (1240) with all_651_0_324, all_651_1_325, all_651_2_326, all_651_3_327 yields:
% 61.36/26.57 | (1241) sdtlseqdt0(xp, all_0_4_4) = all_651_0_324 & aNaturalNumber0(all_0_4_4) = all_651_1_325 & aNaturalNumber0(xp) = all_651_2_326 & aNaturalNumber0(xn) = all_651_3_327 & ( ~ (all_651_0_324 = 0) | ~ (all_651_1_325 = 0) | ~ (all_651_2_326 = 0) | ~ (all_651_3_327 = 0))
% 61.36/26.57 |
% 61.36/26.57 | Applying alpha-rule on (1241) yields:
% 61.36/26.57 | (1242) ~ (all_651_0_324 = 0) | ~ (all_651_1_325 = 0) | ~ (all_651_2_326 = 0) | ~ (all_651_3_327 = 0)
% 61.36/26.57 | (1243) aNaturalNumber0(xp) = all_651_2_326
% 61.36/26.57 | (1244) aNaturalNumber0(xn) = all_651_3_327
% 61.36/26.57 | (1245) aNaturalNumber0(all_0_4_4) = all_651_1_325
% 61.36/26.57 | (1246) sdtlseqdt0(xp, all_0_4_4) = all_651_0_324
% 61.36/26.57 |
% 61.36/26.57 +-Applying beta-rule and splitting (629), into two cases.
% 61.36/26.57 |-Branch one:
% 61.36/26.57 | (1247) ~ (all_200_1_139 = 0)
% 61.36/26.57 |
% 61.36/26.57 | Equations (1161) can reduce 1247 to:
% 61.36/26.57 | (241) $false
% 61.36/26.57 |
% 61.36/26.57 |-The branch is then unsatisfiable
% 61.36/26.57 |-Branch two:
% 61.36/26.57 | (1161) all_200_1_139 = 0
% 61.36/26.57 | (1250) ~ (all_200_2_140 = 0) | all_200_0_138 = 0
% 61.36/26.58 |
% 61.36/26.58 +-Applying beta-rule and splitting (1250), into two cases.
% 61.36/26.58 |-Branch one:
% 61.36/26.58 | (1251) ~ (all_200_2_140 = 0)
% 61.36/26.58 |
% 61.36/26.58 | Equations (1073) can reduce 1251 to:
% 61.36/26.58 | (241) $false
% 61.36/26.58 |
% 61.36/26.58 |-The branch is then unsatisfiable
% 61.36/26.58 |-Branch two:
% 61.36/26.58 | (1073) all_200_2_140 = 0
% 61.36/26.58 | (1254) all_200_0_138 = 0
% 61.36/26.58 |
% 61.36/26.58 | Combining equations (1219,1254) yields a new equation:
% 61.36/26.58 | (1255) all_22_2_30 = 0
% 61.36/26.58 |
% 61.36/26.58 | Simplifying 1255 yields:
% 61.36/26.58 | (1256) all_22_2_30 = 0
% 61.36/26.58 |
% 61.36/26.58 | Combining equations (1256,884) yields a new equation:
% 61.36/26.58 | (1257) all_240_1_227 = 0
% 61.36/26.58 |
% 61.36/26.58 | From (1256) and (157) follows:
% 61.36/26.58 | (1258) aNaturalNumber0(all_0_2_2) = 0
% 61.36/26.58 |
% 61.36/26.58 +-Applying beta-rule and splitting (757), into two cases.
% 61.36/26.58 |-Branch one:
% 61.36/26.58 | (1259) ~ (all_240_1_227 = 0)
% 61.36/26.58 |
% 61.36/26.58 | Equations (1257) can reduce 1259 to:
% 61.36/26.58 | (241) $false
% 61.36/26.58 |
% 61.36/26.58 |-The branch is then unsatisfiable
% 61.36/26.58 |-Branch two:
% 61.36/26.58 | (1257) all_240_1_227 = 0
% 61.36/26.58 | (1262) ~ (all_240_2_228 = 0) | all_240_0_226 = all_26_0_34
% 61.36/26.58 |
% 61.36/26.58 +-Applying beta-rule and splitting (1262), into two cases.
% 61.36/26.58 |-Branch one:
% 61.36/26.58 | (1263) ~ (all_240_2_228 = 0)
% 61.36/26.58 |
% 61.36/26.58 | Equations (1086) can reduce 1263 to:
% 61.36/26.58 | (241) $false
% 61.36/26.58 |
% 61.36/26.58 |-The branch is then unsatisfiable
% 61.36/26.58 |-Branch two:
% 61.36/26.58 | (1086) all_240_2_228 = 0
% 61.36/26.58 | (1266) all_240_0_226 = all_26_0_34
% 61.36/26.58 |
% 61.36/26.58 | Combining equations (1266,871) yields a new equation:
% 61.36/26.58 | (1267) all_26_0_34 = all_0_1_1
% 61.36/26.58 |
% 61.36/26.58 | Simplifying 1267 yields:
% 61.36/26.58 | (1268) all_26_0_34 = all_0_1_1
% 61.36/26.58 |
% 61.36/26.58 | Instantiating formula (65) with all_0_4_4, all_630_3_318, 0 and discharging atoms aNaturalNumber0(all_0_4_4) = all_630_3_318, aNaturalNumber0(all_0_4_4) = 0, yields:
% 61.36/26.58 | (1269) all_630_3_318 = 0
% 61.36/26.58 |
% 61.36/26.58 | Instantiating formula (65) with all_0_4_4, all_630_3_318, all_651_1_325 and discharging atoms aNaturalNumber0(all_0_4_4) = all_651_1_325, aNaturalNumber0(all_0_4_4) = all_630_3_318, yields:
% 61.36/26.58 | (1270) all_651_1_325 = all_630_3_318
% 61.36/26.58 |
% 61.36/26.58 | Instantiating formula (65) with all_0_4_4, all_590_3_313, all_651_1_325 and discharging atoms aNaturalNumber0(all_0_4_4) = all_651_1_325, aNaturalNumber0(all_0_4_4) = all_590_3_313, yields:
% 61.36/26.58 | (1271) all_651_1_325 = all_590_3_313
% 61.36/26.58 |
% 61.36/26.58 | Instantiating formula (65) with xp, all_651_2_326, 0 and discharging atoms aNaturalNumber0(xp) = all_651_2_326, aNaturalNumber0(xp) = 0, yields:
% 61.36/26.58 | (1272) all_651_2_326 = 0
% 61.36/26.58 |
% 61.36/26.58 | Instantiating formula (65) with xp, all_630_2_317, all_651_2_326 and discharging atoms aNaturalNumber0(xp) = all_651_2_326, aNaturalNumber0(xp) = all_630_2_317, yields:
% 61.36/26.58 | (1273) all_651_2_326 = all_630_2_317
% 61.36/26.58 |
% 61.36/26.58 | Instantiating formula (65) with xm, all_630_4_319, 0 and discharging atoms aNaturalNumber0(xm) = all_630_4_319, aNaturalNumber0(xm) = 0, yields:
% 61.36/26.58 | (1274) all_630_4_319 = 0
% 61.36/26.58 |
% 61.36/26.58 | Instantiating formula (65) with xm, all_590_4_314, all_630_4_319 and discharging atoms aNaturalNumber0(xm) = all_630_4_319, aNaturalNumber0(xm) = all_590_4_314, yields:
% 61.36/26.58 | (1275) all_630_4_319 = all_590_4_314
% 61.36/26.58 |
% 61.36/26.58 | Instantiating formula (65) with xn, all_651_3_327, 0 and discharging atoms aNaturalNumber0(xn) = all_651_3_327, aNaturalNumber0(xn) = 0, yields:
% 61.36/26.58 | (1276) all_651_3_327 = 0
% 61.36/26.58 |
% 61.36/26.58 | Instantiating formula (65) with xn, all_590_2_312, all_651_3_327 and discharging atoms aNaturalNumber0(xn) = all_651_3_327, aNaturalNumber0(xn) = all_590_2_312, yields:
% 61.36/26.58 | (1277) all_651_3_327 = all_590_2_312
% 61.36/26.58 |
% 61.36/26.58 | Combining equations (1270,1271) yields a new equation:
% 61.36/26.58 | (1278) all_630_3_318 = all_590_3_313
% 61.36/26.58 |
% 61.36/26.58 | Simplifying 1278 yields:
% 61.36/26.58 | (1279) all_630_3_318 = all_590_3_313
% 61.36/26.58 |
% 61.36/26.58 | Combining equations (1272,1273) yields a new equation:
% 61.36/26.58 | (1280) all_630_2_317 = 0
% 61.36/26.58 |
% 61.36/26.58 | Combining equations (1276,1277) yields a new equation:
% 61.36/26.58 | (1281) all_590_2_312 = 0
% 61.36/26.58 |
% 61.36/26.58 | Combining equations (1269,1279) yields a new equation:
% 61.36/26.58 | (1282) all_590_3_313 = 0
% 61.36/26.58 |
% 61.36/26.58 | Combining equations (1275,1274) yields a new equation:
% 61.36/26.58 | (1283) all_590_4_314 = 0
% 61.36/26.58 |
% 61.36/26.58 | Simplifying 1283 yields:
% 61.36/26.58 | (1284) all_590_4_314 = 0
% 61.36/26.58 |
% 61.36/26.58 | From (1282) and (1187) follows:
% 61.36/26.58 | (1152) aNaturalNumber0(all_0_4_4) = 0
% 61.36/26.58 |
% 61.36/26.58 | From (1280) and (1227) follows:
% 61.36/26.58 | (69) aNaturalNumber0(xp) = 0
% 61.36/26.58 |
% 61.36/26.58 | From (1281) and (1185) follows:
% 61.36/26.58 | (20) aNaturalNumber0(xn) = 0
% 61.36/26.58 |
% 61.36/26.58 +-Applying beta-rule and splitting (594), into two cases.
% 61.36/26.58 |-Branch one:
% 61.36/26.58 | (249) all_0_4_4 = xn
% 61.36/26.58 |
% 61.36/26.58 | Equations (249) can reduce 10 to:
% 61.36/26.58 | (241) $false
% 61.36/26.58 |
% 61.36/26.58 |-The branch is then unsatisfiable
% 61.36/26.58 |-Branch two:
% 61.36/26.58 | (10) ~ (all_0_4_4 = xn)
% 61.36/26.58 | (1291) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_4_4, xm) = v4 & sdtpldt0(xn, xm) = v3 & aNaturalNumber0(all_0_4_4) = v2 & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v4 = v3) & ~ (all_32_0_45 = all_0_10_10))))
% 61.36/26.58 |
% 61.36/26.58 | Instantiating (1291) with all_792_0_330, all_792_1_331, all_792_2_332, all_792_3_333, all_792_4_334 yields:
% 61.36/26.58 | (1292) sdtpldt0(all_0_4_4, xm) = all_792_0_330 & sdtpldt0(xn, xm) = all_792_1_331 & aNaturalNumber0(all_0_4_4) = all_792_2_332 & aNaturalNumber0(xm) = all_792_4_334 & aNaturalNumber0(xn) = all_792_3_333 & ( ~ (all_792_2_332 = 0) | ~ (all_792_3_333 = 0) | ~ (all_792_4_334 = 0) | ( ~ (all_792_0_330 = all_792_1_331) & ~ (all_32_0_45 = all_0_10_10)))
% 61.36/26.58 |
% 61.36/26.58 | Applying alpha-rule on (1292) yields:
% 61.36/26.58 | (1293) ~ (all_792_2_332 = 0) | ~ (all_792_3_333 = 0) | ~ (all_792_4_334 = 0) | ( ~ (all_792_0_330 = all_792_1_331) & ~ (all_32_0_45 = all_0_10_10))
% 61.36/26.58 | (1294) sdtpldt0(xn, xm) = all_792_1_331
% 61.36/26.58 | (1295) aNaturalNumber0(xn) = all_792_3_333
% 61.36/26.58 | (1296) aNaturalNumber0(xm) = all_792_4_334
% 61.36/26.58 | (1297) sdtpldt0(all_0_4_4, xm) = all_792_0_330
% 61.36/26.58 | (1298) aNaturalNumber0(all_0_4_4) = all_792_2_332
% 61.36/26.58 |
% 61.36/26.58 +-Applying beta-rule and splitting (1184), into two cases.
% 61.36/26.58 |-Branch one:
% 61.36/26.58 | (1299) ~ (all_590_2_312 = 0)
% 61.36/26.58 |
% 61.36/26.58 | Equations (1281) can reduce 1299 to:
% 61.36/26.58 | (241) $false
% 61.36/26.58 |
% 61.36/26.58 |-The branch is then unsatisfiable
% 61.36/26.58 |-Branch two:
% 61.36/26.58 | (1281) all_590_2_312 = 0
% 61.36/26.58 | (1302) ~ (all_590_3_313 = 0) | ~ (all_590_4_314 = 0) | ( ~ (all_590_0_310 = all_590_1_311) & ~ (all_32_0_45 = all_0_10_10))
% 61.36/26.58 |
% 61.36/26.58 +-Applying beta-rule and splitting (1302), into two cases.
% 61.36/26.58 |-Branch one:
% 61.36/26.58 | (1303) ~ (all_590_3_313 = 0)
% 61.36/26.58 |
% 61.36/26.58 | Equations (1282) can reduce 1303 to:
% 61.36/26.58 | (241) $false
% 61.36/26.58 |
% 61.36/26.58 |-The branch is then unsatisfiable
% 61.36/26.58 |-Branch two:
% 61.36/26.58 | (1282) all_590_3_313 = 0
% 61.36/26.58 | (1306) ~ (all_590_4_314 = 0) | ( ~ (all_590_0_310 = all_590_1_311) & ~ (all_32_0_45 = all_0_10_10))
% 61.36/26.58 |
% 61.36/26.58 +-Applying beta-rule and splitting (1306), into two cases.
% 61.36/26.58 |-Branch one:
% 61.36/26.58 | (1307) ~ (all_590_4_314 = 0)
% 61.36/26.58 |
% 61.36/26.58 | Equations (1284) can reduce 1307 to:
% 61.36/26.58 | (241) $false
% 61.36/26.58 |
% 61.36/26.58 |-The branch is then unsatisfiable
% 61.36/26.58 |-Branch two:
% 61.36/26.58 | (1284) all_590_4_314 = 0
% 61.36/26.58 | (1310) ~ (all_590_0_310 = all_590_1_311) & ~ (all_32_0_45 = all_0_10_10)
% 61.36/26.58 |
% 61.36/26.58 | Applying alpha-rule on (1310) yields:
% 61.36/26.58 | (1311) ~ (all_590_0_310 = all_590_1_311)
% 61.36/26.58 | (1312) ~ (all_32_0_45 = all_0_10_10)
% 61.36/26.58 |
% 61.36/26.58 | Equations (1208) can reduce 1312 to:
% 61.36/26.58 | (1313) ~ (all_0_2_2 = all_0_10_10)
% 61.36/26.58 |
% 61.36/26.58 +-Applying beta-rule and splitting (581), into two cases.
% 61.36/26.58 |-Branch one:
% 61.36/26.58 | (1314) all_0_2_2 = all_0_10_10
% 61.36/26.58 |
% 61.36/26.58 | Equations (1314) can reduce 1313 to:
% 61.36/26.58 | (241) $false
% 61.36/26.58 |
% 61.36/26.58 |-The branch is then unsatisfiable
% 61.36/26.58 |-Branch two:
% 61.36/26.58 | (1313) ~ (all_0_2_2 = all_0_10_10)
% 61.36/26.58 | (1317) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_2_2, xp) = v4 & sdtpldt0(all_0_10_10, xp) = v3 & aNaturalNumber0(all_0_2_2) = v2 & aNaturalNumber0(all_0_10_10) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v4 = v3) & ~ (all_26_0_34 = all_0_9_9))))
% 61.36/26.58 |
% 61.36/26.58 | Instantiating (1317) with all_834_0_335, all_834_1_336, all_834_2_337, all_834_3_338, all_834_4_339 yields:
% 61.36/26.58 | (1318) sdtpldt0(all_0_2_2, xp) = all_834_0_335 & sdtpldt0(all_0_10_10, xp) = all_834_1_336 & aNaturalNumber0(all_0_2_2) = all_834_2_337 & aNaturalNumber0(all_0_10_10) = all_834_3_338 & aNaturalNumber0(xp) = all_834_4_339 & ( ~ (all_834_2_337 = 0) | ~ (all_834_3_338 = 0) | ~ (all_834_4_339 = 0) | ( ~ (all_834_0_335 = all_834_1_336) & ~ (all_26_0_34 = all_0_9_9)))
% 61.36/26.58 |
% 61.36/26.58 | Applying alpha-rule on (1318) yields:
% 61.36/26.58 | (1319) aNaturalNumber0(all_0_10_10) = all_834_3_338
% 61.36/26.58 | (1320) aNaturalNumber0(xp) = all_834_4_339
% 61.36/26.58 | (1321) ~ (all_834_2_337 = 0) | ~ (all_834_3_338 = 0) | ~ (all_834_4_339 = 0) | ( ~ (all_834_0_335 = all_834_1_336) & ~ (all_26_0_34 = all_0_9_9))
% 61.36/26.58 | (1322) sdtpldt0(all_0_2_2, xp) = all_834_0_335
% 61.36/26.58 | (1323) sdtpldt0(all_0_10_10, xp) = all_834_1_336
% 61.36/26.58 | (1324) aNaturalNumber0(all_0_2_2) = all_834_2_337
% 61.36/26.58 |
% 61.36/26.58 +-Applying beta-rule and splitting (570), into two cases.
% 61.36/26.58 |-Branch one:
% 61.36/26.58 | (1325) ~ (sdtasdt0(xm, all_0_4_4) = all_0_3_3)
% 61.36/26.58 |
% 61.36/26.58 | Using (1172) and (1325) yields:
% 61.36/26.58 | (484) $false
% 61.36/26.58 |
% 61.36/26.58 |-The branch is then unsatisfiable
% 61.36/26.58 |-Branch two:
% 61.36/26.58 | (1172) sdtasdt0(xm, all_0_4_4) = all_0_3_3
% 61.36/26.58 | (1328) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (isPrime0(xp) = v3 & doDivides0(xp, all_0_4_4) = v8 & doDivides0(xp, xm) = v7 & iLess0(v5, all_0_9_9) = v6 & sdtpldt0(v4, xp) = v5 & sdtpldt0(xm, all_0_4_4) = v4 & aNaturalNumber0(all_0_4_4) = v1 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v0 & ( ~ (v6 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0))
% 61.36/26.58 |
% 61.36/26.58 | Instantiating (1328) with all_843_0_340, all_843_1_341, all_843_2_342, all_843_3_343, all_843_4_344, all_843_5_345, all_843_6_346, all_843_7_347, all_843_8_348 yields:
% 61.36/26.58 | (1329) isPrime0(xp) = all_843_5_345 & doDivides0(xp, all_0_4_4) = all_843_0_340 & doDivides0(xp, xm) = all_843_1_341 & iLess0(all_843_3_343, all_0_9_9) = all_843_2_342 & sdtpldt0(all_843_4_344, xp) = all_843_3_343 & sdtpldt0(xm, all_0_4_4) = all_843_4_344 & aNaturalNumber0(all_0_4_4) = all_843_7_347 & aNaturalNumber0(xp) = all_843_6_346 & aNaturalNumber0(xm) = all_843_8_348 & ( ~ (all_843_2_342 = 0) | ~ (all_843_5_345 = 0) | ~ (all_843_6_346 = 0) | ~ (all_843_7_347 = 0) | ~ (all_843_8_348 = 0) | all_843_0_340 = 0 | all_843_1_341 = 0)
% 61.36/26.58 |
% 61.36/26.58 | Applying alpha-rule on (1329) yields:
% 61.36/26.58 | (1330) ~ (all_843_2_342 = 0) | ~ (all_843_5_345 = 0) | ~ (all_843_6_346 = 0) | ~ (all_843_7_347 = 0) | ~ (all_843_8_348 = 0) | all_843_0_340 = 0 | all_843_1_341 = 0
% 61.36/26.58 | (1331) aNaturalNumber0(all_0_4_4) = all_843_7_347
% 61.36/26.58 | (1332) iLess0(all_843_3_343, all_0_9_9) = all_843_2_342
% 61.36/26.58 | (1333) aNaturalNumber0(xp) = all_843_6_346
% 61.36/26.58 | (1334) sdtpldt0(all_843_4_344, xp) = all_843_3_343
% 61.36/26.58 | (1335) aNaturalNumber0(xm) = all_843_8_348
% 61.36/26.58 | (1336) doDivides0(xp, all_0_4_4) = all_843_0_340
% 61.36/26.58 | (1337) isPrime0(xp) = all_843_5_345
% 61.36/26.58 | (1338) sdtpldt0(xm, all_0_4_4) = all_843_4_344
% 61.36/26.58 | (1339) doDivides0(xp, xm) = all_843_1_341
% 61.36/26.58 |
% 61.36/26.58 | Instantiating formula (65) with all_0_2_2, all_834_2_337, 0 and discharging atoms aNaturalNumber0(all_0_2_2) = all_834_2_337, aNaturalNumber0(all_0_2_2) = 0, yields:
% 61.36/26.58 | (1340) all_834_2_337 = 0
% 61.36/26.58 |
% 61.36/26.58 | Instantiating formula (65) with all_0_4_4, all_843_7_347, 0 and discharging atoms aNaturalNumber0(all_0_4_4) = all_843_7_347, aNaturalNumber0(all_0_4_4) = 0, yields:
% 61.36/26.58 | (1341) all_843_7_347 = 0
% 61.36/26.58 |
% 61.36/26.58 | Instantiating formula (65) with all_0_4_4, all_792_2_332, all_843_7_347 and discharging atoms aNaturalNumber0(all_0_4_4) = all_843_7_347, aNaturalNumber0(all_0_4_4) = all_792_2_332, yields:
% 61.36/26.58 | (1342) all_843_7_347 = all_792_2_332
% 61.36/26.58 |
% 61.36/26.58 | Instantiating formula (65) with all_0_10_10, all_834_3_338, 0 and discharging atoms aNaturalNumber0(all_0_10_10) = all_834_3_338, aNaturalNumber0(all_0_10_10) = 0, yields:
% 61.36/26.58 | (1343) all_834_3_338 = 0
% 61.36/26.58 |
% 61.36/26.58 | Instantiating formula (65) with xp, all_843_6_346, 0 and discharging atoms aNaturalNumber0(xp) = all_843_6_346, aNaturalNumber0(xp) = 0, yields:
% 61.36/26.59 | (1344) all_843_6_346 = 0
% 61.36/26.59 |
% 61.36/26.59 | Instantiating formula (65) with xp, all_834_4_339, all_843_6_346 and discharging atoms aNaturalNumber0(xp) = all_843_6_346, aNaturalNumber0(xp) = all_834_4_339, yields:
% 61.36/26.59 | (1345) all_843_6_346 = all_834_4_339
% 61.36/26.59 |
% 61.36/26.59 | Instantiating formula (65) with xn, all_792_3_333, 0 and discharging atoms aNaturalNumber0(xn) = all_792_3_333, aNaturalNumber0(xn) = 0, yields:
% 61.36/26.59 | (1346) all_792_3_333 = 0
% 61.36/26.59 |
% 61.36/26.59 | Combining equations (1344,1345) yields a new equation:
% 61.36/26.59 | (1347) all_834_4_339 = 0
% 61.36/26.59 |
% 61.36/26.59 | Combining equations (1341,1342) yields a new equation:
% 61.36/26.59 | (1348) all_792_2_332 = 0
% 61.36/26.59 |
% 61.36/26.59 | From (1348) and (1298) follows:
% 61.36/26.59 | (1152) aNaturalNumber0(all_0_4_4) = 0
% 61.36/26.59 |
% 61.36/26.59 | From (1346) and (1295) follows:
% 61.36/26.59 | (20) aNaturalNumber0(xn) = 0
% 61.36/26.59 |
% 61.36/26.59 +-Applying beta-rule and splitting (1321), into two cases.
% 61.36/26.59 |-Branch one:
% 61.36/26.59 | (1351) ~ (all_834_2_337 = 0)
% 61.36/26.59 |
% 61.36/26.59 | Equations (1340) can reduce 1351 to:
% 61.36/26.59 | (241) $false
% 61.36/26.59 |
% 61.36/26.59 |-The branch is then unsatisfiable
% 61.36/26.59 |-Branch two:
% 61.36/26.59 | (1340) all_834_2_337 = 0
% 61.36/26.59 | (1354) ~ (all_834_3_338 = 0) | ~ (all_834_4_339 = 0) | ( ~ (all_834_0_335 = all_834_1_336) & ~ (all_26_0_34 = all_0_9_9))
% 61.36/26.59 |
% 61.36/26.59 +-Applying beta-rule and splitting (1354), into two cases.
% 61.36/26.59 |-Branch one:
% 61.36/26.59 | (1355) ~ (all_834_3_338 = 0)
% 61.36/26.59 |
% 61.36/26.59 | Equations (1343) can reduce 1355 to:
% 61.36/26.59 | (241) $false
% 61.36/26.59 |
% 61.36/26.59 |-The branch is then unsatisfiable
% 61.36/26.59 |-Branch two:
% 61.36/26.59 | (1343) all_834_3_338 = 0
% 61.36/26.59 | (1358) ~ (all_834_4_339 = 0) | ( ~ (all_834_0_335 = all_834_1_336) & ~ (all_26_0_34 = all_0_9_9))
% 61.36/26.59 |
% 61.36/26.59 +-Applying beta-rule and splitting (1358), into two cases.
% 61.36/26.59 |-Branch one:
% 61.36/26.59 | (1359) ~ (all_834_4_339 = 0)
% 61.36/26.59 |
% 61.36/26.59 | Equations (1347) can reduce 1359 to:
% 61.36/26.59 | (241) $false
% 61.36/26.59 |
% 61.36/26.59 |-The branch is then unsatisfiable
% 61.36/26.59 |-Branch two:
% 61.36/26.59 | (1347) all_834_4_339 = 0
% 61.36/26.59 | (1362) ~ (all_834_0_335 = all_834_1_336) & ~ (all_26_0_34 = all_0_9_9)
% 61.36/26.59 |
% 61.36/26.59 | Applying alpha-rule on (1362) yields:
% 61.36/26.59 | (1363) ~ (all_834_0_335 = all_834_1_336)
% 61.36/26.59 | (1364) ~ (all_26_0_34 = all_0_9_9)
% 61.36/26.59 |
% 61.36/26.59 | Equations (1268) can reduce 1364 to:
% 61.36/26.59 | (1365) ~ (all_0_1_1 = all_0_9_9)
% 61.36/26.59 |
% 61.36/26.59 +-Applying beta-rule and splitting (29), into two cases.
% 61.36/26.59 |-Branch one:
% 61.36/26.59 | (1366) ~ (all_0_0_0 = 0)
% 61.36/26.59 |
% 61.36/26.59 +-Applying beta-rule and splitting (104), into two cases.
% 61.36/26.59 |-Branch one:
% 61.36/26.59 | (1367) all_0_0_0 = 0
% 61.36/26.59 |
% 61.36/26.59 | Equations (1367) can reduce 1366 to:
% 61.36/26.59 | (241) $false
% 61.36/26.59 |
% 61.36/26.59 |-The branch is then unsatisfiable
% 61.36/26.59 |-Branch two:
% 61.36/26.59 | (1366) ~ (all_0_0_0 = 0)
% 61.36/26.59 | (1370) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_0_9_9, all_0_1_1) = v2 & aNaturalNumber0(all_0_1_1) = v0 & aNaturalNumber0(all_0_9_9) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v2 = 0 & ~ (all_0_1_1 = all_0_9_9))))
% 61.36/26.59 |
% 61.36/26.59 +-Applying beta-rule and splitting (1236), into two cases.
% 61.36/26.59 |-Branch one:
% 61.36/26.59 | (1371) sdtlseqdt0(all_639_2_322, all_639_1_321) = all_639_0_320 & sdtpldt0(all_20_1_24, all_0_4_4) = all_639_2_322 & sdtpldt0(all_20_1_24, xn) = all_639_1_321 & aNaturalNumber0(all_20_1_24) = all_639_3_323 & ( ~ (all_639_3_323 = 0) | (all_639_0_320 = 0 & all_0_0_0 = 0 & ~ (all_639_1_321 = all_639_2_322) & ~ (all_0_1_1 = all_0_9_9)))
% 61.36/26.59 |
% 61.36/26.59 | Applying alpha-rule on (1371) yields:
% 61.36/26.59 | (1372) aNaturalNumber0(all_20_1_24) = all_639_3_323
% 61.36/26.59 | (1373) sdtpldt0(all_20_1_24, xn) = all_639_1_321
% 61.36/26.59 | (1374) sdtpldt0(all_20_1_24, all_0_4_4) = all_639_2_322
% 61.36/26.59 | (1375) ~ (all_639_3_323 = 0) | (all_639_0_320 = 0 & all_0_0_0 = 0 & ~ (all_639_1_321 = all_639_2_322) & ~ (all_0_1_1 = all_0_9_9))
% 61.36/26.59 | (1376) sdtlseqdt0(all_639_2_322, all_639_1_321) = all_639_0_320
% 61.36/26.59 |
% 61.36/26.59 +-Applying beta-rule and splitting (1375), into two cases.
% 61.36/26.59 |-Branch one:
% 61.36/26.59 | (1377) ~ (all_639_3_323 = 0)
% 61.36/26.59 |
% 61.36/26.59 | Instantiating formula (65) with all_20_1_24, all_639_3_323, 0 and discharging atoms aNaturalNumber0(all_20_1_24) = all_639_3_323, aNaturalNumber0(all_20_1_24) = 0, yields:
% 61.36/26.59 | (1378) all_639_3_323 = 0
% 61.36/26.59 |
% 61.36/26.59 | Equations (1378) can reduce 1377 to:
% 61.36/26.59 | (241) $false
% 61.36/26.59 |
% 61.36/26.59 |-The branch is then unsatisfiable
% 61.36/26.59 |-Branch two:
% 61.36/26.59 | (1378) all_639_3_323 = 0
% 61.36/26.59 | (1381) all_639_0_320 = 0 & all_0_0_0 = 0 & ~ (all_639_1_321 = all_639_2_322) & ~ (all_0_1_1 = all_0_9_9)
% 61.36/26.59 |
% 61.36/26.59 | Applying alpha-rule on (1381) yields:
% 61.36/26.59 | (1382) all_639_0_320 = 0
% 61.36/26.59 | (1367) all_0_0_0 = 0
% 61.36/26.59 | (1384) ~ (all_639_1_321 = all_639_2_322)
% 61.36/26.59 | (1365) ~ (all_0_1_1 = all_0_9_9)
% 61.36/26.59 |
% 61.36/26.59 | Equations (1367) can reduce 1366 to:
% 61.36/26.59 | (241) $false
% 61.36/26.59 |
% 61.36/26.59 |-The branch is then unsatisfiable
% 61.36/26.59 |-Branch two:
% 61.36/26.59 | (1387) aNaturalNumber0(all_0_4_4) = all_639_3_323 & aNaturalNumber0(xn) = all_639_2_322 & ( ~ (all_639_2_322 = 0) | ~ (all_639_3_323 = 0))
% 61.36/26.59 |
% 61.36/26.59 | Applying alpha-rule on (1387) yields:
% 61.36/26.59 | (1388) aNaturalNumber0(all_0_4_4) = all_639_3_323
% 61.36/26.59 | (1389) aNaturalNumber0(xn) = all_639_2_322
% 61.36/26.59 | (1390) ~ (all_639_2_322 = 0) | ~ (all_639_3_323 = 0)
% 61.36/26.59 |
% 61.36/26.59 | Instantiating formula (65) with all_0_4_4, all_639_3_323, 0 and discharging atoms aNaturalNumber0(all_0_4_4) = all_639_3_323, aNaturalNumber0(all_0_4_4) = 0, yields:
% 61.36/26.59 | (1378) all_639_3_323 = 0
% 61.36/26.59 |
% 61.36/26.59 | Instantiating formula (65) with xn, all_639_2_322, 0 and discharging atoms aNaturalNumber0(xn) = all_639_2_322, aNaturalNumber0(xn) = 0, yields:
% 61.36/26.59 | (1392) all_639_2_322 = 0
% 61.36/26.59 |
% 61.36/26.59 +-Applying beta-rule and splitting (1390), into two cases.
% 61.36/26.59 |-Branch one:
% 61.36/26.59 | (1393) ~ (all_639_2_322 = 0)
% 61.36/26.59 |
% 61.36/26.59 | Equations (1392) can reduce 1393 to:
% 61.36/26.59 | (241) $false
% 61.36/26.59 |
% 61.36/26.59 |-The branch is then unsatisfiable
% 61.36/26.59 |-Branch two:
% 61.36/26.59 | (1392) all_639_2_322 = 0
% 61.36/26.59 | (1377) ~ (all_639_3_323 = 0)
% 61.36/26.59 |
% 61.36/26.59 | Equations (1378) can reduce 1377 to:
% 61.36/26.59 | (241) $false
% 61.36/26.59 |
% 61.36/26.59 |-The branch is then unsatisfiable
% 61.36/26.59 |-Branch two:
% 61.36/26.59 | (1367) all_0_0_0 = 0
% 61.36/26.59 | (1399) all_0_1_1 = all_0_9_9
% 61.36/26.59 |
% 61.36/26.59 | Equations (1399) can reduce 1365 to:
% 61.36/26.59 | (241) $false
% 61.36/26.59 |
% 61.36/26.59 |-The branch is then unsatisfiable
% 61.36/26.59 |-Branch two:
% 61.36/26.59 | (1401) ~ (all_87_0_124 = xp)
% 61.36/26.59 | (1402) all_87_0_124 = sz10 | ? [v0] : (( ~ (v0 = 0) & aNaturalNumber0(all_87_0_124) = v0) | ( ~ (v0 = 0) & aNaturalNumber0(xp) = v0))
% 61.36/26.59 |
% 61.36/26.59 +-Applying beta-rule and splitting (1402), into two cases.
% 61.36/26.59 |-Branch one:
% 61.36/26.59 | (867) all_87_0_124 = sz10
% 61.36/26.59 |
% 61.36/26.59 | Equations (867) can reduce 291 to:
% 61.36/26.59 | (241) $false
% 61.36/26.59 |
% 61.36/26.59 |-The branch is then unsatisfiable
% 61.36/26.59 |-Branch two:
% 61.36/26.59 | (291) ~ (all_87_0_124 = sz10)
% 61.36/26.59 | (1406) ? [v0] : (( ~ (v0 = 0) & aNaturalNumber0(all_87_0_124) = v0) | ( ~ (v0 = 0) & aNaturalNumber0(xp) = v0))
% 61.36/26.59 |
% 61.36/26.59 | Instantiating (1406) with all_608_0_357 yields:
% 61.36/26.59 | (1407) ( ~ (all_608_0_357 = 0) & aNaturalNumber0(all_87_0_124) = all_608_0_357) | ( ~ (all_608_0_357 = 0) & aNaturalNumber0(xp) = all_608_0_357)
% 61.36/26.59 |
% 61.36/26.59 +-Applying beta-rule and splitting (1407), into two cases.
% 61.36/26.59 |-Branch one:
% 61.36/26.59 | (1408) ~ (all_608_0_357 = 0) & aNaturalNumber0(all_87_0_124) = all_608_0_357
% 61.36/26.59 |
% 61.36/26.59 | Applying alpha-rule on (1408) yields:
% 61.36/26.59 | (1409) ~ (all_608_0_357 = 0)
% 61.36/26.59 | (1410) aNaturalNumber0(all_87_0_124) = all_608_0_357
% 61.36/26.59 |
% 61.36/26.59 | Instantiating formula (65) with all_87_0_124, all_608_0_357, 0 and discharging atoms aNaturalNumber0(all_87_0_124) = all_608_0_357, aNaturalNumber0(all_87_0_124) = 0, yields:
% 61.36/26.59 | (1411) all_608_0_357 = 0
% 61.36/26.59 |
% 61.36/26.59 | Equations (1411) can reduce 1409 to:
% 61.36/26.59 | (241) $false
% 61.36/26.59 |
% 61.36/26.59 |-The branch is then unsatisfiable
% 61.36/26.59 |-Branch two:
% 61.36/26.59 | (1413) ~ (all_608_0_357 = 0) & aNaturalNumber0(xp) = all_608_0_357
% 61.36/26.59 |
% 61.36/26.59 | Applying alpha-rule on (1413) yields:
% 61.36/26.59 | (1409) ~ (all_608_0_357 = 0)
% 61.36/26.59 | (1415) aNaturalNumber0(xp) = all_608_0_357
% 61.36/26.59 |
% 61.36/26.59 +-Applying beta-rule and splitting (186), into two cases.
% 61.36/26.59 |-Branch one:
% 61.36/26.59 | (1416) ~ (all_32_1_46 = 0)
% 61.36/26.59 |
% 61.36/26.59 | Equations (440) can reduce 1416 to:
% 61.36/26.59 | (241) $false
% 61.36/26.59 |
% 61.36/26.59 |-The branch is then unsatisfiable
% 61.36/26.59 |-Branch two:
% 61.36/26.59 | (440) all_32_1_46 = 0
% 61.36/26.59 | (1419) ~ (all_32_2_47 = 0) | all_32_0_45 = all_0_2_2
% 61.36/26.59 |
% 61.36/26.59 +-Applying beta-rule and splitting (1419), into two cases.
% 61.36/26.59 |-Branch one:
% 61.36/26.59 | (1420) ~ (all_32_2_47 = 0)
% 61.36/26.59 |
% 61.36/26.59 | Equations (1158) can reduce 1420 to:
% 61.36/26.59 | (241) $false
% 61.36/26.59 |
% 61.36/26.59 |-The branch is then unsatisfiable
% 61.36/26.59 |-Branch two:
% 61.36/26.59 | (1158) all_32_2_47 = 0
% 61.36/26.59 | (1208) all_32_0_45 = all_0_2_2
% 61.36/26.59 |
% 61.36/26.59 | From (1208) and (183) follows:
% 61.36/26.59 | (1209) sdtpldt0(xm, all_0_4_4) = all_0_2_2
% 61.36/26.59 |
% 61.36/26.59 +-Applying beta-rule and splitting (559), into two cases.
% 61.36/26.59 |-Branch one:
% 61.36/26.59 | (1237) all_65_0_117 = 0
% 61.36/26.59 |
% 61.36/26.59 | Equations (1237) can reduce 1188 to:
% 61.36/26.59 | (241) $false
% 61.36/26.59 |
% 61.36/26.59 |-The branch is then unsatisfiable
% 61.36/26.59 |-Branch two:
% 61.36/26.59 | (1188) ~ (all_65_0_117 = 0)
% 61.36/26.59 | (1240) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtlseqdt0(xp, all_0_4_4) = v3 & aNaturalNumber0(all_0_4_4) = v2 & aNaturalNumber0(xp) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 61.36/26.59 |
% 61.36/26.59 | Instantiating (1240) with all_636_0_373, all_636_1_374, all_636_2_375, all_636_3_376 yields:
% 61.36/26.59 | (1429) sdtlseqdt0(xp, all_0_4_4) = all_636_0_373 & aNaturalNumber0(all_0_4_4) = all_636_1_374 & aNaturalNumber0(xp) = all_636_2_375 & aNaturalNumber0(xn) = all_636_3_376 & ( ~ (all_636_0_373 = 0) | ~ (all_636_1_374 = 0) | ~ (all_636_2_375 = 0) | ~ (all_636_3_376 = 0))
% 61.36/26.59 |
% 61.36/26.59 | Applying alpha-rule on (1429) yields:
% 61.36/26.59 | (1430) aNaturalNumber0(xn) = all_636_3_376
% 61.36/26.59 | (1431) sdtlseqdt0(xp, all_0_4_4) = all_636_0_373
% 61.36/26.59 | (1432) aNaturalNumber0(all_0_4_4) = all_636_1_374
% 61.36/26.59 | (1433) ~ (all_636_0_373 = 0) | ~ (all_636_1_374 = 0) | ~ (all_636_2_375 = 0) | ~ (all_636_3_376 = 0)
% 61.36/26.59 | (1434) aNaturalNumber0(xp) = all_636_2_375
% 61.36/26.59 |
% 61.36/26.59 +-Applying beta-rule and splitting (586), into two cases.
% 61.36/26.59 |-Branch one:
% 61.36/26.59 | (1221) ~ (sdtpldt0(xm, all_0_4_4) = all_0_2_2)
% 61.36/26.59 |
% 61.36/26.59 | Using (1209) and (1221) yields:
% 61.36/26.59 | (484) $false
% 61.36/26.59 |
% 61.36/26.59 |-The branch is then unsatisfiable
% 61.36/26.59 |-Branch two:
% 61.36/26.59 | (1209) sdtpldt0(xm, all_0_4_4) = all_0_2_2
% 61.36/26.59 | (1224) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_4_4, xp) = v3 & sdtpldt0(xm, v3) = v4 & aNaturalNumber0(all_0_4_4) = v1 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_1_1))
% 61.36/26.60 |
% 61.36/26.60 | Instantiating (1224) with all_669_0_377, all_669_1_378, all_669_2_379, all_669_3_380, all_669_4_381 yields:
% 61.36/26.60 | (1439) sdtpldt0(all_0_4_4, xp) = all_669_1_378 & sdtpldt0(xm, all_669_1_378) = all_669_0_377 & aNaturalNumber0(all_0_4_4) = all_669_3_380 & aNaturalNumber0(xp) = all_669_2_379 & aNaturalNumber0(xm) = all_669_4_381 & ( ~ (all_669_2_379 = 0) | ~ (all_669_3_380 = 0) | ~ (all_669_4_381 = 0) | all_669_0_377 = all_0_1_1)
% 61.36/26.60 |
% 61.36/26.60 | Applying alpha-rule on (1439) yields:
% 61.36/26.60 | (1440) sdtpldt0(all_0_4_4, xp) = all_669_1_378
% 61.36/26.60 | (1441) sdtpldt0(xm, all_669_1_378) = all_669_0_377
% 61.36/26.60 | (1442) aNaturalNumber0(xp) = all_669_2_379
% 61.36/26.60 | (1443) aNaturalNumber0(xm) = all_669_4_381
% 61.36/26.60 | (1444) ~ (all_669_2_379 = 0) | ~ (all_669_3_380 = 0) | ~ (all_669_4_381 = 0) | all_669_0_377 = all_0_1_1
% 61.36/26.60 | (1445) aNaturalNumber0(all_0_4_4) = all_669_3_380
% 61.36/26.60 |
% 61.36/26.60 | Instantiating formula (65) with xp, all_669_2_379, 0 and discharging atoms aNaturalNumber0(xp) = all_669_2_379, aNaturalNumber0(xp) = 0, yields:
% 61.36/26.60 | (1446) all_669_2_379 = 0
% 61.36/26.60 |
% 61.36/26.60 | Instantiating formula (65) with xp, all_636_2_375, all_669_2_379 and discharging atoms aNaturalNumber0(xp) = all_669_2_379, aNaturalNumber0(xp) = all_636_2_375, yields:
% 61.36/26.60 | (1447) all_669_2_379 = all_636_2_375
% 61.36/26.60 |
% 61.36/26.60 | Instantiating formula (65) with xp, all_608_0_357, all_636_2_375 and discharging atoms aNaturalNumber0(xp) = all_636_2_375, aNaturalNumber0(xp) = all_608_0_357, yields:
% 61.36/26.60 | (1448) all_636_2_375 = all_608_0_357
% 61.36/26.60 |
% 61.36/26.60 | Combining equations (1447,1446) yields a new equation:
% 61.36/26.60 | (1449) all_636_2_375 = 0
% 61.36/26.60 |
% 61.36/26.60 | Simplifying 1449 yields:
% 61.36/26.60 | (1450) all_636_2_375 = 0
% 61.36/26.60 |
% 61.36/26.60 | Combining equations (1450,1448) yields a new equation:
% 61.36/26.60 | (1411) all_608_0_357 = 0
% 61.36/26.60 |
% 61.36/26.60 | Equations (1411) can reduce 1409 to:
% 61.36/26.60 | (241) $false
% 61.36/26.60 |
% 61.36/26.60 |-The branch is then unsatisfiable
% 61.36/26.60 |-Branch two:
% 61.36/26.60 | (1237) all_65_0_117 = 0
% 61.36/26.60 | (1454) ~ (all_65_1_118 = 0) | ~ (all_65_2_119 = 0)
% 61.36/26.60 |
% 61.36/26.60 +-Applying beta-rule and splitting (1454), into two cases.
% 61.36/26.60 |-Branch one:
% 61.36/26.60 | (1455) ~ (all_65_1_118 = 0)
% 61.36/26.60 |
% 61.36/26.60 | Equations (339) can reduce 1455 to:
% 61.36/26.60 | (241) $false
% 61.36/26.60 |
% 61.36/26.60 |-The branch is then unsatisfiable
% 61.36/26.60 |-Branch two:
% 61.36/26.60 | (339) all_65_1_118 = 0
% 61.36/26.60 | (1458) ~ (all_65_2_119 = 0)
% 61.36/26.60 |
% 61.36/26.60 | Equations (1160) can reduce 1458 to:
% 61.36/26.60 | (241) $false
% 61.36/26.60 |
% 61.36/26.60 |-The branch is then unsatisfiable
% 61.36/26.60 |-Branch two:
% 61.36/26.60 | (1460) ~ (all_54_2_110 = all_0_4_4)
% 61.36/26.60 | (1461) ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & aNaturalNumber0(all_54_2_110) = v0) | (doDivides0(xr, xn) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 61.36/26.60 |
% 61.36/26.60 | Instantiating (1461) with all_546_0_386, all_546_1_387, all_546_2_388 yields:
% 61.36/26.60 | (1462) ( ~ (all_546_2_388 = 0) & aNaturalNumber0(all_54_2_110) = all_546_2_388) | (doDivides0(xr, xn) = all_546_0_386 & aNaturalNumber0(xr) = all_546_2_388 & aNaturalNumber0(xn) = all_546_1_387 & ( ~ (all_546_0_386 = 0) | ~ (all_546_1_387 = 0) | ~ (all_546_2_388 = 0)))
% 61.36/26.60 |
% 61.36/26.60 +-Applying beta-rule and splitting (1462), into two cases.
% 61.36/26.60 |-Branch one:
% 61.36/26.60 | (1463) ~ (all_546_2_388 = 0) & aNaturalNumber0(all_54_2_110) = all_546_2_388
% 61.36/26.60 |
% 61.36/26.60 | Applying alpha-rule on (1463) yields:
% 61.36/26.60 | (1464) ~ (all_546_2_388 = 0)
% 61.36/26.60 | (1465) aNaturalNumber0(all_54_2_110) = all_546_2_388
% 61.36/26.60 |
% 61.36/26.60 | Instantiating formula (65) with all_54_2_110, all_546_2_388, 0 and discharging atoms aNaturalNumber0(all_54_2_110) = all_546_2_388, aNaturalNumber0(all_54_2_110) = 0, yields:
% 61.36/26.60 | (1466) all_546_2_388 = 0
% 61.36/26.60 |
% 61.36/26.60 | Equations (1466) can reduce 1464 to:
% 61.36/26.60 | (241) $false
% 61.36/26.60 |
% 61.36/26.60 |-The branch is then unsatisfiable
% 61.36/26.60 |-Branch two:
% 61.36/26.60 | (1468) doDivides0(xr, xn) = all_546_0_386 & aNaturalNumber0(xr) = all_546_2_388 & aNaturalNumber0(xn) = all_546_1_387 & ( ~ (all_546_0_386 = 0) | ~ (all_546_1_387 = 0) | ~ (all_546_2_388 = 0))
% 61.36/26.60 |
% 61.36/26.60 | Applying alpha-rule on (1468) yields:
% 61.36/26.60 | (1469) doDivides0(xr, xn) = all_546_0_386
% 61.36/26.60 | (1470) aNaturalNumber0(xr) = all_546_2_388
% 61.36/26.60 | (1471) aNaturalNumber0(xn) = all_546_1_387
% 61.36/26.60 | (1472) ~ (all_546_0_386 = 0) | ~ (all_546_1_387 = 0) | ~ (all_546_2_388 = 0)
% 61.36/26.60 |
% 61.36/26.60 | Instantiating formula (31) with xr, xn, all_546_0_386, 0 and discharging atoms doDivides0(xr, xn) = all_546_0_386, doDivides0(xr, xn) = 0, yields:
% 61.36/26.60 | (1473) all_546_0_386 = 0
% 61.36/26.60 |
% 61.36/26.60 | Instantiating formula (65) with xr, all_546_2_388, 0 and discharging atoms aNaturalNumber0(xr) = all_546_2_388, aNaturalNumber0(xr) = 0, yields:
% 61.36/26.60 | (1466) all_546_2_388 = 0
% 61.36/26.60 |
% 61.36/26.60 | Instantiating formula (65) with xn, all_546_1_387, 0 and discharging atoms aNaturalNumber0(xn) = all_546_1_387, aNaturalNumber0(xn) = 0, yields:
% 61.36/26.60 | (1475) all_546_1_387 = 0
% 61.36/26.60 |
% 61.36/26.60 +-Applying beta-rule and splitting (1472), into two cases.
% 61.36/26.60 |-Branch one:
% 61.36/26.60 | (1476) ~ (all_546_0_386 = 0)
% 61.36/26.60 |
% 61.36/26.60 | Equations (1473) can reduce 1476 to:
% 61.36/26.60 | (241) $false
% 61.36/26.60 |
% 61.36/26.60 |-The branch is then unsatisfiable
% 61.36/26.60 |-Branch two:
% 61.36/26.60 | (1473) all_546_0_386 = 0
% 61.36/26.60 | (1479) ~ (all_546_1_387 = 0) | ~ (all_546_2_388 = 0)
% 61.36/26.60 |
% 61.36/26.60 +-Applying beta-rule and splitting (1479), into two cases.
% 61.36/26.60 |-Branch one:
% 61.36/26.60 | (1480) ~ (all_546_1_387 = 0)
% 61.36/26.60 |
% 61.36/26.60 | Equations (1475) can reduce 1480 to:
% 61.36/26.60 | (241) $false
% 61.36/26.60 |
% 61.36/26.60 |-The branch is then unsatisfiable
% 61.36/26.60 |-Branch two:
% 61.36/26.60 | (1475) all_546_1_387 = 0
% 61.36/26.60 | (1464) ~ (all_546_2_388 = 0)
% 61.36/26.60 |
% 61.36/26.60 | Equations (1466) can reduce 1464 to:
% 61.36/26.60 | (241) $false
% 61.36/26.60 |
% 61.36/26.60 |-The branch is then unsatisfiable
% 61.36/26.60 |-Branch two:
% 61.36/26.60 | (1485) ~ (all_82_0_123 = xr)
% 61.36/26.60 | (1486) all_82_0_123 = sz10 | ? [v0] : (( ~ (v0 = 0) & aNaturalNumber0(all_82_0_123) = v0) | ( ~ (v0 = 0) & aNaturalNumber0(xr) = v0))
% 61.36/26.60 |
% 61.36/26.60 +-Applying beta-rule and splitting (1486), into two cases.
% 61.36/26.60 |-Branch one:
% 61.36/26.60 | (863) all_82_0_123 = sz10
% 61.36/26.60 |
% 61.36/26.60 | Equations (863) can reduce 293 to:
% 61.36/26.60 | (241) $false
% 61.36/26.60 |
% 61.36/26.60 |-The branch is then unsatisfiable
% 61.36/26.60 |-Branch two:
% 61.36/26.60 | (293) ~ (all_82_0_123 = sz10)
% 61.36/26.60 | (1490) ? [v0] : (( ~ (v0 = 0) & aNaturalNumber0(all_82_0_123) = v0) | ( ~ (v0 = 0) & aNaturalNumber0(xr) = v0))
% 61.36/26.60 |
% 61.36/26.60 | Instantiating (1490) with all_472_0_399 yields:
% 61.36/26.60 | (1491) ( ~ (all_472_0_399 = 0) & aNaturalNumber0(all_82_0_123) = all_472_0_399) | ( ~ (all_472_0_399 = 0) & aNaturalNumber0(xr) = all_472_0_399)
% 61.36/26.60 |
% 61.36/26.60 +-Applying beta-rule and splitting (1491), into two cases.
% 61.36/26.60 |-Branch one:
% 61.36/26.60 | (1492) ~ (all_472_0_399 = 0) & aNaturalNumber0(all_82_0_123) = all_472_0_399
% 61.36/26.60 |
% 61.36/26.60 | Applying alpha-rule on (1492) yields:
% 61.36/26.60 | (1493) ~ (all_472_0_399 = 0)
% 61.36/26.60 | (1494) aNaturalNumber0(all_82_0_123) = all_472_0_399
% 61.36/26.60 |
% 61.36/26.60 | Instantiating formula (65) with all_82_0_123, all_472_0_399, 0 and discharging atoms aNaturalNumber0(all_82_0_123) = all_472_0_399, aNaturalNumber0(all_82_0_123) = 0, yields:
% 61.36/26.60 | (1495) all_472_0_399 = 0
% 61.36/26.60 |
% 61.36/26.60 | Equations (1495) can reduce 1493 to:
% 61.36/26.60 | (241) $false
% 61.36/26.60 |
% 61.36/26.60 |-The branch is then unsatisfiable
% 61.36/26.60 |-Branch two:
% 61.36/26.60 | (1497) ~ (all_472_0_399 = 0) & aNaturalNumber0(xr) = all_472_0_399
% 61.36/26.60 |
% 61.36/26.60 | Applying alpha-rule on (1497) yields:
% 61.36/26.60 | (1493) ~ (all_472_0_399 = 0)
% 61.36/26.60 | (1499) aNaturalNumber0(xr) = all_472_0_399
% 61.36/26.60 |
% 61.36/26.60 | Instantiating formula (65) with xr, all_472_0_399, 0 and discharging atoms aNaturalNumber0(xr) = all_472_0_399, aNaturalNumber0(xr) = 0, yields:
% 61.36/26.60 | (1495) all_472_0_399 = 0
% 61.36/26.60 |
% 61.36/26.60 | Equations (1495) can reduce 1493 to:
% 61.36/26.60 | (241) $false
% 61.36/26.60 |
% 61.36/26.60 |-The branch is then unsatisfiable
% 61.36/26.60 |-Branch two:
% 61.36/26.60 | (1502) aNaturalNumber0(all_0_8_8) = all_49_1_91 & aNaturalNumber0(xp) = all_49_2_92 & ( ~ (all_49_1_91 = 0) | ~ (all_49_2_92 = 0))
% 61.36/26.60 |
% 61.36/26.60 | Applying alpha-rule on (1502) yields:
% 61.36/26.60 | (1503) aNaturalNumber0(all_0_8_8) = all_49_1_91
% 61.36/26.60 | (1504) aNaturalNumber0(xp) = all_49_2_92
% 61.36/26.60 | (1505) ~ (all_49_1_91 = 0) | ~ (all_49_2_92 = 0)
% 61.36/26.60 |
% 61.36/26.60 | Instantiating formula (65) with all_0_8_8, all_49_1_91, 0 and discharging atoms aNaturalNumber0(all_0_8_8) = all_49_1_91, aNaturalNumber0(all_0_8_8) = 0, yields:
% 61.36/26.60 | (547) all_49_1_91 = 0
% 61.36/26.60 |
% 61.36/26.60 | Instantiating formula (65) with xp, all_49_2_92, 0 and discharging atoms aNaturalNumber0(xp) = all_49_2_92, aNaturalNumber0(xp) = 0, yields:
% 61.36/26.60 | (1507) all_49_2_92 = 0
% 61.36/26.60 |
% 61.36/26.60 +-Applying beta-rule and splitting (1505), into two cases.
% 61.36/26.60 |-Branch one:
% 61.36/26.60 | (1508) ~ (all_49_1_91 = 0)
% 61.36/26.60 |
% 61.36/26.60 | Equations (547) can reduce 1508 to:
% 61.36/26.60 | (241) $false
% 61.36/26.60 |
% 61.36/26.60 |-The branch is then unsatisfiable
% 61.36/26.60 |-Branch two:
% 61.36/26.60 | (547) all_49_1_91 = 0
% 61.36/26.60 | (1511) ~ (all_49_2_92 = 0)
% 61.36/26.60 |
% 61.36/26.60 | Equations (1507) can reduce 1511 to:
% 61.36/26.60 | (241) $false
% 61.36/26.60 |
% 61.36/26.60 |-The branch is then unsatisfiable
% 61.36/26.60 |-Branch two:
% 61.36/26.60 | (1513) aNaturalNumber0(all_0_8_8) = all_55_1_112 & aNaturalNumber0(xr) = all_55_2_113 & ( ~ (all_55_1_112 = 0) | ~ (all_55_2_113 = 0))
% 61.36/26.60 |
% 61.36/26.60 | Applying alpha-rule on (1513) yields:
% 61.36/26.60 | (1514) aNaturalNumber0(all_0_8_8) = all_55_1_112
% 61.36/26.60 | (1515) aNaturalNumber0(xr) = all_55_2_113
% 61.36/26.60 | (1516) ~ (all_55_1_112 = 0) | ~ (all_55_2_113 = 0)
% 61.36/26.60 |
% 61.36/26.60 | Instantiating formula (65) with all_0_8_8, all_55_1_112, 0 and discharging atoms aNaturalNumber0(all_0_8_8) = all_55_1_112, aNaturalNumber0(all_0_8_8) = 0, yields:
% 61.36/26.60 | (542) all_55_1_112 = 0
% 61.36/26.60 |
% 61.36/26.60 | Instantiating formula (65) with xr, all_55_2_113, 0 and discharging atoms aNaturalNumber0(xr) = all_55_2_113, aNaturalNumber0(xr) = 0, yields:
% 61.36/26.60 | (1518) all_55_2_113 = 0
% 61.36/26.60 |
% 61.36/26.60 +-Applying beta-rule and splitting (1516), into two cases.
% 61.36/26.60 |-Branch one:
% 61.36/26.60 | (1519) ~ (all_55_1_112 = 0)
% 61.36/26.60 |
% 61.36/26.60 | Equations (542) can reduce 1519 to:
% 61.36/26.60 | (241) $false
% 61.36/26.60 |
% 61.36/26.60 |-The branch is then unsatisfiable
% 61.36/26.60 |-Branch two:
% 61.36/26.60 | (542) all_55_1_112 = 0
% 61.36/26.60 | (1522) ~ (all_55_2_113 = 0)
% 61.36/26.60 |
% 61.36/26.60 | Equations (1518) can reduce 1522 to:
% 61.36/26.60 | (241) $false
% 61.36/26.60 |
% 61.36/26.60 |-The branch is then unsatisfiable
% 61.36/26.61 |-Branch two:
% 61.36/26.61 | (1524) aNaturalNumber0(xp) = all_48_1_88 & aNaturalNumber0(xn) = all_48_2_89 & ( ~ (all_48_1_88 = 0) | ~ (all_48_2_89 = 0))
% 61.36/26.61 |
% 61.36/26.61 | Applying alpha-rule on (1524) yields:
% 61.36/26.61 | (1525) aNaturalNumber0(xp) = all_48_1_88
% 61.36/26.61 | (1526) aNaturalNumber0(xn) = all_48_2_89
% 61.36/26.61 | (1527) ~ (all_48_1_88 = 0) | ~ (all_48_2_89 = 0)
% 61.36/26.61 |
% 61.36/26.61 | Instantiating formula (65) with xp, all_48_1_88, 0 and discharging atoms aNaturalNumber0(xp) = all_48_1_88, aNaturalNumber0(xp) = 0, yields:
% 61.36/26.61 | (524) all_48_1_88 = 0
% 61.36/26.61 |
% 61.36/26.61 | Instantiating formula (65) with xn, all_48_2_89, 0 and discharging atoms aNaturalNumber0(xn) = all_48_2_89, aNaturalNumber0(xn) = 0, yields:
% 61.36/26.61 | (1529) all_48_2_89 = 0
% 61.36/26.61 |
% 61.36/26.61 +-Applying beta-rule and splitting (1527), into two cases.
% 61.36/26.61 |-Branch one:
% 61.36/26.61 | (1530) ~ (all_48_1_88 = 0)
% 61.36/26.61 |
% 61.36/26.61 | Equations (524) can reduce 1530 to:
% 61.36/26.61 | (241) $false
% 61.36/26.61 |
% 61.36/26.61 |-The branch is then unsatisfiable
% 61.36/26.61 |-Branch two:
% 61.36/26.61 | (524) all_48_1_88 = 0
% 61.36/26.61 | (1533) ~ (all_48_2_89 = 0)
% 61.36/26.61 |
% 61.36/26.61 | Equations (1529) can reduce 1533 to:
% 61.36/26.61 | (241) $false
% 61.36/26.61 |
% 61.36/26.61 |-The branch is then unsatisfiable
% 61.36/26.61 |-Branch two:
% 61.36/26.61 | (1535) aNaturalNumber0(xr) = all_54_2_110 & aNaturalNumber0(xn) = all_54_1_109 & ( ~ (all_54_1_109 = 0) | ~ (all_54_2_110 = 0))
% 61.36/26.61 |
% 61.36/26.61 | Applying alpha-rule on (1535) yields:
% 61.36/26.61 | (1536) aNaturalNumber0(xr) = all_54_2_110
% 61.36/26.61 | (1537) aNaturalNumber0(xn) = all_54_1_109
% 61.36/26.61 | (1538) ~ (all_54_1_109 = 0) | ~ (all_54_2_110 = 0)
% 61.36/26.61 |
% 61.36/26.61 | Instantiating formula (65) with xr, all_54_2_110, 0 and discharging atoms aNaturalNumber0(xr) = all_54_2_110, aNaturalNumber0(xr) = 0, yields:
% 61.36/26.61 | (1539) all_54_2_110 = 0
% 61.36/26.61 |
% 61.36/26.61 | Instantiating formula (65) with xn, all_54_1_109, 0 and discharging atoms aNaturalNumber0(xn) = all_54_1_109, aNaturalNumber0(xn) = 0, yields:
% 61.36/26.61 | (490) all_54_1_109 = 0
% 61.36/26.61 |
% 61.36/26.61 +-Applying beta-rule and splitting (1538), into two cases.
% 61.36/26.61 |-Branch one:
% 61.36/26.61 | (1541) ~ (all_54_1_109 = 0)
% 61.36/26.61 |
% 61.36/26.61 | Equations (490) can reduce 1541 to:
% 61.36/26.61 | (241) $false
% 61.36/26.61 |
% 61.36/26.61 |-The branch is then unsatisfiable
% 61.36/26.61 |-Branch two:
% 61.36/26.61 | (490) all_54_1_109 = 0
% 61.36/26.61 | (1544) ~ (all_54_2_110 = 0)
% 61.36/26.61 |
% 61.36/26.61 | Equations (1539) can reduce 1544 to:
% 61.36/26.61 | (241) $false
% 61.36/26.61 |
% 61.36/26.61 |-The branch is then unsatisfiable
% 61.36/26.61 |-Branch two:
% 61.36/26.61 | (1546) aNaturalNumber0(xp) = all_42_1_67 & aNaturalNumber0(xm) = all_42_2_68 & ( ~ (all_42_1_67 = 0) | ~ (all_42_2_68 = 0))
% 61.36/26.61 |
% 61.36/26.61 | Applying alpha-rule on (1546) yields:
% 61.36/26.61 | (1547) aNaturalNumber0(xp) = all_42_1_67
% 61.36/26.61 | (1548) aNaturalNumber0(xm) = all_42_2_68
% 61.36/26.61 | (1549) ~ (all_42_1_67 = 0) | ~ (all_42_2_68 = 0)
% 61.36/26.61 |
% 61.36/26.61 | Instantiating formula (65) with xp, all_42_1_67, 0 and discharging atoms aNaturalNumber0(xp) = all_42_1_67, aNaturalNumber0(xp) = 0, yields:
% 61.36/26.61 | (480) all_42_1_67 = 0
% 61.36/26.61 |
% 61.36/26.61 | Instantiating formula (65) with xm, all_42_2_68, 0 and discharging atoms aNaturalNumber0(xm) = all_42_2_68, aNaturalNumber0(xm) = 0, yields:
% 61.36/26.61 | (1551) all_42_2_68 = 0
% 61.36/26.61 |
% 61.36/26.61 +-Applying beta-rule and splitting (1549), into two cases.
% 61.36/26.61 |-Branch one:
% 61.36/26.61 | (1552) ~ (all_42_1_67 = 0)
% 61.36/26.61 |
% 61.36/26.61 | Equations (480) can reduce 1552 to:
% 61.36/26.61 | (241) $false
% 61.36/26.61 |
% 61.36/26.61 |-The branch is then unsatisfiable
% 61.36/26.61 |-Branch two:
% 61.36/26.61 | (480) all_42_1_67 = 0
% 61.36/26.61 | (1555) ~ (all_42_2_68 = 0)
% 61.36/26.61 |
% 61.36/26.61 | Equations (1551) can reduce 1555 to:
% 61.36/26.61 | (241) $false
% 61.36/26.61 |
% 61.36/26.61 |-The branch is then unsatisfiable
% 61.36/26.61 % SZS output end Proof for theBenchmark
% 61.36/26.61
% 61.36/26.61 25991ms
%------------------------------------------------------------------------------