TSTP Solution File: NUM513+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : NUM513+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n008.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 08:45:19 EDT 2022
% Result : Theorem 24.85s 6.86s
% Output : Proof 85.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM513+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 5 09:00:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.54/0.57 ____ _
% 0.54/0.57 ___ / __ \_____(_)___ ________ __________
% 0.54/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.54/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.54/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.54/0.57
% 0.54/0.57 A Theorem Prover for First-Order Logic
% 0.59/0.58 (ePrincess v.1.0)
% 0.59/0.58
% 0.59/0.58 (c) Philipp Rümmer, 2009-2015
% 0.59/0.58 (c) Peter Backeman, 2014-2015
% 0.59/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.59/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.59/0.58 Bug reports to peter@backeman.se
% 0.59/0.58
% 0.59/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.59/0.58
% 0.59/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.59/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.86/0.98 Prover 0: Preprocessing ...
% 3.40/1.46 Prover 0: Constructing countermodel ...
% 21.05/5.92 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 21.48/6.01 Prover 1: Preprocessing ...
% 21.98/6.15 Prover 1: Constructing countermodel ...
% 24.85/6.86 Prover 1: proved (942ms)
% 24.85/6.86 Prover 0: stopped
% 24.85/6.86
% 24.85/6.86 No countermodel exists, formula is valid
% 24.85/6.86 % SZS status Theorem for theBenchmark
% 24.85/6.86
% 24.85/6.86 Generating proof ... found it (size 1345)
% 84.17/44.12
% 84.17/44.12 % SZS output start Proof for theBenchmark
% 84.17/44.12 Assumed formulas after preprocessing and simplification:
% 84.17/44.12 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ( ~ (v11 = v7) & ~ (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(v8, xr) = v9 & sdtsldt0(v2, xp) = xk & sdtsldt0(xk, xr) = v10 & sdtsldt0(xn, xr) = v6 & doDivides0(xr, v2) = 0 & doDivides0(xr, xk) = 0 & doDivides0(xr, xm) = v5 & doDivides0(xr, xn) = 0 & doDivides0(xp, v2) = 0 & 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(v9, xr) = v2 & sdtasdt0(v7, xr) = v2 & sdtasdt0(v6, xm) = v7 & sdtasdt0(xp, v10) = v11 & sdtasdt0(xp, xk) = v8 & sdtasdt0(xn, xm) = v2 & 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) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v14 = v13 | v12 = sz00 | ~ (sdtlseqdt0(v15, v16) = v17) | ~ (sdtasdt0(v12, v14) = v16) | ~ (sdtasdt0(v12, v13) = v15) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (sdtlseqdt0(v22, v23) = v24 & sdtlseqdt0(v13, v14) = v21 & sdtasdt0(v14, v12) = v23 & sdtasdt0(v13, v12) = v22 & aNaturalNumber0(v14) = v20 & aNaturalNumber0(v13) = v19 & aNaturalNumber0(v12) = v18 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | (v24 = 0 & v17 = 0 & ~ (v23 = v22) & ~ (v16 = v15))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v13 = v12 | ~ (sdtlseqdt0(v15, v16) = v17) | ~ (sdtlseqdt0(v12, v13) = 0) | ~ (sdtpldt0(v13, v14) = v16) | ~ (sdtpldt0(v12, v14) = v15) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ((sdtlseqdt0(v19, v20) = v21 & sdtpldt0(v14, v13) = v20 & sdtpldt0(v14, v12) = v19 & aNaturalNumber0(v14) = v18 & ( ~ (v18 = 0) | (v21 = 0 & v17 = 0 & ~ (v20 = v19) & ~ (v16 = v15)))) | (aNaturalNumber0(v13) = v19 & aNaturalNumber0(v12) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v12 = sz00 | ~ (sdtsldt0(v16, v12) = v17) | ~ (sdtsldt0(v13, v12) = v14) | ~ (sdtasdt0(v15, v13) = v16) | ? [v18] : ? [v19] : ? [v20] : ((doDivides0(v12, v13) = v20 & aNaturalNumber0(v13) = v19 & aNaturalNumber0(v12) = v18 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0))) | (sdtasdt0(v15, v14) = v19 & aNaturalNumber0(v15) = v18 & ( ~ (v18 = 0) | v19 = v17)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (sdtasdt0(v12, v14) = v16) | ~ (sdtasdt0(v12, v13) = v15) | ~ (sdtpldt0(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : (sdtasdt0(v21, v12) = v23 & sdtasdt0(v14, v12) = v25 & sdtasdt0(v13, v12) = v24 & sdtasdt0(v12, v21) = v22 & sdtpldt0(v24, v25) = v26 & sdtpldt0(v13, v14) = v21 & aNaturalNumber0(v14) = v20 & aNaturalNumber0(v13) = v19 & aNaturalNumber0(v12) = v18 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | (v26 = v23 & v22 = v17)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (doDivides0(v12, v15) = v16) | ~ (sdtpldt0(v13, v14) = v15) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (doDivides0(v12, v14) = v21 & doDivides0(v12, v13) = v20 & aNaturalNumber0(v14) = v19 & aNaturalNumber0(v13) = v18 & aNaturalNumber0(v12) = v17 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | v12 = sz00 | ~ (sdtasdt0(v12, v14) = v16) | ~ (sdtasdt0(v12, v13) = v15) | ~ (aNaturalNumber0(v12) = 0) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : (sdtasdt0(v14, v12) = v20 & sdtasdt0(v13, v12) = v19 & aNaturalNumber0(v14) = v18 & aNaturalNumber0(v13) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0) | ( ~ (v20 = v19) & ~ (v16 = v15))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (sdtpldt0(v12, v14) = v16) | ~ (sdtpldt0(v12, v13) = v15) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (sdtpldt0(v14, v12) = v21 & sdtpldt0(v13, v12) = v20 & aNaturalNumber0(v14) = v19 & aNaturalNumber0(v13) = v18 & aNaturalNumber0(v12) = v17 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ( ~ (v21 = v20) & ~ (v16 = v15))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (sdtasdt0(v15, v14) = v16) | ~ (sdtasdt0(v12, v13) = v15) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (sdtasdt0(v13, v14) = v20 & sdtasdt0(v12, v20) = v21 & aNaturalNumber0(v14) = v19 & aNaturalNumber0(v13) = v18 & aNaturalNumber0(v12) = v17 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | v21 = v16))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (sdtpldt0(v15, v14) = v16) | ~ (sdtpldt0(v12, v13) = v15) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (isPrime0(v14) = v20 & doDivides0(v14, v21) = v22 & doDivides0(v14, v13) = v25 & doDivides0(v14, v12) = v24 & iLess0(v16, v1) = v23 & sdtasdt0(v12, v13) = v21 & aNaturalNumber0(v14) = v19 & aNaturalNumber0(v13) = v18 & aNaturalNumber0(v12) = v17 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | v25 = 0 | v24 = 0))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (sdtpldt0(v15, v14) = v16) | ~ (sdtpldt0(v12, v13) = v15) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (sdtpldt0(v13, v14) = v20 & sdtpldt0(v12, v20) = v21 & aNaturalNumber0(v14) = v19 & aNaturalNumber0(v13) = v18 & aNaturalNumber0(v12) = v17 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | v21 = v16))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v14 | v12 = sz00 | ~ (sdtsldt0(v13, v12) = v14) | ~ (sdtasdt0(v12, v15) = v13) | ? [v16] : ? [v17] : ? [v18] : (( ~ (v16 = 0) & aNaturalNumber0(v15) = v16) | (doDivides0(v12, v13) = v18 & aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v14 | ~ (sdtmndt0(v13, v12) = v14) | ~ (sdtpldt0(v12, v15) = v13) | ? [v16] : ? [v17] : ? [v18] : (( ~ (v16 = 0) & aNaturalNumber0(v15) = v16) | (sdtlseqdt0(v12, v13) = v18 & aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v13 | v12 = sz00 | ~ (sdtsldt0(v13, v12) = v14) | ~ (sdtasdt0(v12, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : (doDivides0(v12, v13) = v18 & aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v13 | ~ (sdtmndt0(v13, v12) = v14) | ~ (sdtpldt0(v12, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : (sdtlseqdt0(v12, v13) = v18 & aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | v12 = sz00 | ~ (sdtlseqdt0(v13, v14) = v15) | ~ (sdtasdt0(v13, v12) = v14) | ? [v16] : ? [v17] : (aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (doDivides0(v12, v14) = v15) | ~ (doDivides0(v12, v13) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : (doDivides0(v13, v14) = v19 & aNaturalNumber0(v14) = v18 & aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (sdtlseqdt0(v12, v14) = v15) | ~ (sdtlseqdt0(v12, v13) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : (sdtlseqdt0(v13, v14) = v19 & aNaturalNumber0(v14) = v18 & aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = 0 | ~ (doDivides0(v12, v13) = v14) | ~ (sdtasdt0(v12, v15) = v13) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & aNaturalNumber0(v15) = v16) | (aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = 0 | ~ (sdtlseqdt0(v12, v13) = v14) | ~ (sdtpldt0(v12, v15) = v13) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & aNaturalNumber0(v15) = v16) | (aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (sdtsldt0(v15, v14) = v13) | ~ (sdtsldt0(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (doDivides0(v15, v14) = v13) | ~ (doDivides0(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (iLess0(v15, v14) = v13) | ~ (iLess0(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (sdtmndt0(v15, v14) = v13) | ~ (sdtmndt0(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (sdtlseqdt0(v15, v14) = v13) | ~ (sdtlseqdt0(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (sdtasdt0(v15, v14) = v13) | ~ (sdtasdt0(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (sdtpldt0(v15, v14) = v13) | ~ (sdtpldt0(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = sz00 | ~ (sdtsldt0(v13, v12) = v14) | ~ (sdtasdt0(v12, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ((v16 = 0 & aNaturalNumber0(v14) = 0) | (doDivides0(v12, v13) = v18 & aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (doDivides0(v12, v15) = 0) | ~ (sdtpldt0(v13, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (doDivides0(v12, v14) = v20 & doDivides0(v12, v13) = v19 & aNaturalNumber0(v14) = v18 & aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v20 = 0))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (sdtmndt0(v13, v12) = v14) | ~ (sdtpldt0(v12, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ((v16 = 0 & aNaturalNumber0(v14) = 0) | (sdtlseqdt0(v12, v13) = v18 & aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | v13 = v12 | ~ (iLess0(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : (sdtlseqdt0(v12, v13) = v17 & aNaturalNumber0(v13) = v16 & aNaturalNumber0(v12) = v15 & ( ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (sdtlseqdt0(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : (sdtlseqdt0(v13, v12) = v17 & aNaturalNumber0(v13) = v16 & aNaturalNumber0(v12) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0) | (v17 = 0 & ~ (v13 = v12))))) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (isPrime0(v14) = v13) | ~ (isPrime0(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (aNaturalNumber0(v14) = v13) | ~ (aNaturalNumber0(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (sdtasdt0(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : (sdtasdt0(v13, v12) = v17 & aNaturalNumber0(v13) = v16 & aNaturalNumber0(v12) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0) | v17 = v14))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (sdtasdt0(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : (aNaturalNumber0(v14) = v17 & aNaturalNumber0(v13) = v16 & aNaturalNumber0(v12) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0) | v17 = 0))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (sdtpldt0(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : (sdtpldt0(v13, v12) = v17 & aNaturalNumber0(v13) = v16 & aNaturalNumber0(v12) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0) | v17 = v14))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (sdtpldt0(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : (aNaturalNumber0(v14) = v17 & aNaturalNumber0(v13) = v16 & aNaturalNumber0(v12) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0) | v17 = 0))) & ! [v12] : ! [v13] : (v13 = v12 | v13 = sz10 | ~ (isPrime0(v12) = 0) | ~ (doDivides0(v13, v12) = 0) | ? [v14] : (( ~ (v14 = 0) & aNaturalNumber0(v13) = v14) | ( ~ (v14 = 0) & aNaturalNumber0(v12) = v14))) & ! [v12] : ! [v13] : (v13 = v12 | ~ (sdtlseqdt0(v12, v13) = 0) | ? [v14] : ? [v15] : ? [v16] : (sdtlseqdt0(v13, v12) = v16 & aNaturalNumber0(v13) = v15 & aNaturalNumber0(v12) = v14 & ( ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v12] : ! [v13] : (v13 = sz00 | v12 = sz00 | ~ (sdtasdt0(v12, v13) = sz00) | ? [v14] : ? [v15] : (aNaturalNumber0(v13) = v15 & aNaturalNumber0(v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v12] : ! [v13] : (v13 = sz00 | ~ (doDivides0(v12, v13) = 0) | ? [v14] : ? [v15] : ? [v16] : (sdtlseqdt0(v12, v13) = v16 & aNaturalNumber0(v13) = v15 & aNaturalNumber0(v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0) | v16 = 0))) & ! [v12] : ! [v13] : (v13 = sz00 | ~ (sdtpldt0(v12, v13) = sz00) | ? [v14] : ? [v15] : (aNaturalNumber0(v13) = v15 & aNaturalNumber0(v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v12] : ! [v13] : (v13 = 0 | v12 = sz10 | v12 = sz00 | ~ (isPrime0(v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ((v16 = 0 & v15 = 0 & ~ (v14 = v12) & ~ (v14 = sz10) & doDivides0(v14, v12) = 0 & aNaturalNumber0(v14) = 0) | ( ~ (v14 = 0) & aNaturalNumber0(v12) = v14))) & ! [v12] : ! [v13] : (v13 = 0 | v12 = sz10 | v12 = sz00 | ~ (sdtlseqdt0(sz10, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & aNaturalNumber0(v12) = v14)) & ! [v12] : ! [v13] : (v13 = 0 | ~ (sdtlseqdt0(v12, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & aNaturalNumber0(v12) = v14)) & ! [v12] : ! [v13] : (v12 = sz00 | ~ (sdtpldt0(v12, v13) = sz00) | ? [v14] : ? [v15] : (aNaturalNumber0(v13) = v15 & aNaturalNumber0(v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v12] : ! [v13] : ( ~ (doDivides0(v12, v13) = 0) | ? [v14] : ? [v15] : ? [v16] : ((v16 = v13 & v15 = 0 & sdtasdt0(v12, v14) = v13 & aNaturalNumber0(v14) = 0) | (aNaturalNumber0(v13) = v15 & aNaturalNumber0(v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0))))) & ! [v12] : ! [v13] : ( ~ (sdtlseqdt0(v12, v13) = 0) | ? [v14] : ? [v15] : ? [v16] : ((v16 = v13 & v15 = 0 & sdtpldt0(v12, v14) = v13 & aNaturalNumber0(v14) = 0) | (aNaturalNumber0(v13) = v15 & aNaturalNumber0(v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0))))) & ! [v12] : ! [v13] : ( ~ (sdtasdt0(sz10, v12) = v13) | ? [v14] : ? [v15] : (sdtasdt0(v12, sz10) = v15 & aNaturalNumber0(v12) = v14 & ( ~ (v14 = 0) | (v15 = v12 & v13 = v12)))) & ! [v12] : ! [v13] : ( ~ (sdtasdt0(sz00, v12) = v13) | ? [v14] : ? [v15] : (sdtasdt0(v12, sz00) = v15 & aNaturalNumber0(v12) = v14 & ( ~ (v14 = 0) | (v15 = sz00 & v13 = sz00)))) & ! [v12] : ! [v13] : ( ~ (sdtpldt0(sz00, v12) = v13) | ? [v14] : ? [v15] : (sdtpldt0(v12, sz00) = v15 & aNaturalNumber0(v12) = v14 & ( ~ (v14 = 0) | (v15 = v12 & v13 = v12)))) & ! [v12] : (v12 = sz10 | v12 = sz00 | ~ (aNaturalNumber0(v12) = 0) | ? [v13] : (isPrime0(v13) = 0 & doDivides0(v13, v12) = 0 & aNaturalNumber0(v13) = 0)))
% 84.42/44.19 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11 yields:
% 84.42/44.19 | (1) ~ (all_0_0_0 = all_0_4_4) & ~ (all_0_5_5 = xn) & ~ (all_0_7_7 = 0) & ~ (all_0_8_8 = 0) & ~ (xk = xp) & ~ (xk = sz10) & ~ (xk = sz00) & ~ (xp = xm) & ~ (xp = xn) & ~ (sz10 = sz00) & isPrime0(xr) = 0 & isPrime0(xp) = 0 & sdtsldt0(all_0_3_3, xr) = all_0_2_2 & sdtsldt0(all_0_9_9, xp) = xk & sdtsldt0(xk, xr) = all_0_1_1 & sdtsldt0(xn, xr) = all_0_5_5 & doDivides0(xr, all_0_9_9) = 0 & doDivides0(xr, xk) = 0 & doDivides0(xr, xm) = all_0_6_6 & doDivides0(xr, xn) = 0 & doDivides0(xp, all_0_9_9) = 0 & sdtlseqdt0(all_0_5_5, xn) = 0 & sdtlseqdt0(xr, xk) = 0 & sdtlseqdt0(xk, xp) = 0 & sdtlseqdt0(xp, xm) = all_0_7_7 & sdtlseqdt0(xp, xn) = all_0_8_8 & sdtlseqdt0(xm, xp) = 0 & sdtlseqdt0(xn, xp) = 0 & sdtasdt0(all_0_2_2, xr) = all_0_9_9 & sdtasdt0(all_0_4_4, xr) = all_0_9_9 & sdtasdt0(all_0_5_5, xm) = all_0_4_4 & sdtasdt0(xp, all_0_1_1) = all_0_0_0 & sdtasdt0(xp, xk) = all_0_3_3 & sdtasdt0(xn, xm) = all_0_9_9 & sdtpldt0(all_0_11_11, xp) = all_0_10_10 & sdtpldt0(xn, xm) = all_0_11_11 & 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] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (isPrime0(v2) = v8 & doDivides0(v2, v9) = v10 & doDivides0(v2, v1) = v13 & doDivides0(v2, v0) = v12 & iLess0(v4, all_0_10_10) = v11 & sdtasdt0(v0, v1) = v9 & aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0) = v5 & ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v13 = 0 | v12 = 0))) & ! [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(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))
% 84.51/44.22 |
% 84.51/44.22 | Applying alpha-rule on (1) yields:
% 84.51/44.22 | (2) sdtasdt0(xp, all_0_1_1) = all_0_0_0
% 84.51/44.22 | (3) ! [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))))
% 84.51/44.22 | (4) sdtsldt0(all_0_3_3, xr) = all_0_2_2
% 84.51/44.22 | (5) ~ (xk = sz10)
% 84.51/44.22 | (6) doDivides0(xp, all_0_9_9) = 0
% 84.51/44.22 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0))
% 84.51/44.22 | (8) sdtasdt0(xn, xm) = all_0_9_9
% 84.51/44.22 | (9) ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz00, v0) = v1) | ? [v2] : ? [v3] : (sdtasdt0(v0, sz00) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = sz00 & v1 = sz00))))
% 84.51/44.22 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0))
% 84.51/44.22 | (11) sdtsldt0(all_0_9_9, xp) = xk
% 84.51/44.22 | (12) ~ (all_0_7_7 = 0)
% 84.51/44.22 | (13) sdtsldt0(xk, xr) = all_0_1_1
% 84.51/44.22 | (14) sdtlseqdt0(xm, xp) = 0
% 84.51/44.22 | (15) doDivides0(xr, xn) = 0
% 84.51/44.22 | (16) ! [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)))))
% 84.51/44.22 | (17) ~ (all_0_5_5 = xn)
% 84.51/44.22 | (18) aNaturalNumber0(xr) = 0
% 84.51/44.22 | (19) sdtasdt0(all_0_4_4, xr) = all_0_9_9
% 84.51/44.22 | (20) ! [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))))
% 84.51/44.22 | (21) isPrime0(xr) = 0
% 84.51/44.22 | (22) sdtlseqdt0(xk, xp) = 0
% 84.51/44.22 | (23) ! [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)))))
% 84.51/44.22 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (isPrime0(v2) = v8 & doDivides0(v2, v9) = v10 & doDivides0(v2, v1) = v13 & doDivides0(v2, v0) = v12 & iLess0(v4, all_0_10_10) = v11 & sdtasdt0(v0, v1) = v9 & aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0) = v5 & ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v13 = 0 | v12 = 0)))
% 84.51/44.22 | (25) sdtlseqdt0(xr, xk) = 0
% 84.51/44.22 | (26) doDivides0(xr, xm) = all_0_6_6
% 84.51/44.22 | (27) ! [v0] : ! [v1] : (v1 = sz00 | ~ (sdtpldt0(v0, v1) = sz00) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 84.51/44.22 | (28) ~ (all_0_0_0 = all_0_4_4)
% 84.51/44.22 | (29) ~ (xk = sz00)
% 84.51/44.22 | (30) ! [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)))
% 84.51/44.22 | (31) ! [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)))))
% 84.51/44.22 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0))
% 84.51/44.23 | (33) sdtsldt0(xn, xr) = all_0_5_5
% 84.51/44.23 | (34) doDivides0(xr, xk) = 0
% 84.51/44.23 | (35) ! [v0] : ! [v1] : (v0 = sz00 | ~ (sdtpldt0(v0, v1) = sz00) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 84.51/44.23 | (36) sdtpldt0(xn, xm) = all_0_11_11
% 84.51/44.23 | (37) ! [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))))
% 84.51/44.23 | (38) isPrime0(xp) = 0
% 84.51/44.23 | (39) aNaturalNumber0(xp) = 0
% 84.51/44.23 | (40) ! [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)))))
% 84.51/44.23 | (41) aNaturalNumber0(sz10) = 0
% 84.51/44.23 | (42) ~ (xp = xm)
% 84.51/44.23 | (43) ! [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)))))
% 84.51/44.23 | (44) ! [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)))))
% 84.51/44.23 | (45) ! [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)))))
% 84.51/44.23 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (doDivides0(v3, v2) = v1) | ~ (doDivides0(v3, v2) = v0))
% 84.51/44.23 | (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)))))
% 84.51/44.23 | (48) ! [v0] : ! [v1] : (v1 = 0 | v0 = sz10 | v0 = sz00 | ~ (sdtlseqdt0(sz10, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2))
% 84.51/44.23 | (49) sdtlseqdt0(xp, xm) = all_0_7_7
% 84.51/44.23 | (50) ! [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)))))
% 84.51/44.23 | (51) ~ (xp = xn)
% 84.51/44.23 | (52) ! [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)))
% 84.51/44.23 | (53) ! [v0] : ! [v1] : (v1 = sz00 | v0 = sz00 | ~ (sdtasdt0(v0, v1) = sz00) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 84.51/44.23 | (54) ~ (sz10 = sz00)
% 84.51/44.23 | (55) ! [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)))
% 84.51/44.23 | (56) ! [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)))
% 84.51/44.23 | (57) ! [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)))
% 84.51/44.23 | (58) ! [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))))
% 84.51/44.24 | (59) sdtasdt0(all_0_2_2, xr) = all_0_9_9
% 84.51/44.24 | (60) ! [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))))
% 84.51/44.24 | (61) ! [v0] : ! [v1] : (v1 = v0 | v1 = sz10 | ~ (isPrime0(v0) = 0) | ~ (doDivides0(v1, v0) = 0) | ? [v2] : (( ~ (v2 = 0) & aNaturalNumber0(v1) = v2) | ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2)))
% 84.51/44.24 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtmndt0(v3, v2) = v1) | ~ (sdtmndt0(v3, v2) = v0))
% 84.51/44.24 | (63) sdtlseqdt0(all_0_5_5, xn) = 0
% 84.51/44.24 | (64) ~ (isPrime0(sz10) = 0)
% 84.51/44.24 | (65) ! [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))))
% 84.51/44.24 | (66) ~ (all_0_8_8 = 0)
% 84.51/44.24 | (67) ! [v0] : (v0 = sz10 | v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | ? [v1] : (isPrime0(v1) = 0 & doDivides0(v1, v0) = 0 & aNaturalNumber0(v1) = 0))
% 84.51/44.24 | (68) ~ (isPrime0(sz00) = 0)
% 84.51/44.24 | (69) ! [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)))))
% 84.51/44.24 | (70) ! [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)))))
% 84.51/44.24 | (71) ! [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)))
% 84.51/44.24 | (72) aNaturalNumber0(sz00) = 0
% 84.51/44.24 | (73) doDivides0(xr, all_0_9_9) = 0
% 84.51/44.24 | (74) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = v0))
% 84.51/44.24 | (75) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 84.51/44.24 | (76) ! [v0] : ! [v1] : ( ~ (sdtpldt0(sz00, v0) = v1) | ? [v2] : ? [v3] : (sdtpldt0(v0, sz00) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = v0 & v1 = v0))))
% 84.51/44.24 | (77) ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz10, v0) = v1) | ? [v2] : ? [v3] : (sdtasdt0(v0, sz10) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = v0 & v1 = v0))))
% 84.51/44.24 | (78) ! [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))))
% 84.51/44.24 | (79) sdtlseqdt0(xn, xp) = 0
% 84.51/44.24 | (80) ! [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))))
% 84.51/44.24 | (81) ~ (xk = xp)
% 84.51/44.24 | (82) ! [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)))
% 84.51/44.24 | (83) ! [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)))
% 84.51/44.25 | (84) ! [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))))
% 84.51/44.25 | (85) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (isPrime0(v2) = v1) | ~ (isPrime0(v2) = v0))
% 84.51/44.25 | (86) ! [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)))))
% 84.51/44.25 | (87) ! [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)))))
% 84.51/44.25 | (88) sdtlseqdt0(xp, xn) = all_0_8_8
% 84.51/44.25 | (89) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtsldt0(v3, v2) = v1) | ~ (sdtsldt0(v3, v2) = v0))
% 84.51/44.25 | (90) ! [v0] : ! [v1] : (v1 = 0 | ~ (sdtlseqdt0(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2))
% 84.51/44.25 | (91) aNaturalNumber0(xm) = 0
% 84.51/44.25 | (92) ! [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)))
% 84.51/44.25 | (93) ! [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))))
% 84.51/44.25 | (94) sdtasdt0(xp, xk) = all_0_3_3
% 84.51/44.25 | (95) sdtasdt0(all_0_5_5, xm) = all_0_4_4
% 84.51/44.25 | (96) sdtpldt0(all_0_11_11, xp) = all_0_10_10
% 84.51/44.25 | (97) aNaturalNumber0(xn) = 0
% 84.51/44.25 |
% 84.51/44.25 | Using (21) and (64) yields:
% 84.51/44.25 | (98) ~ (xr = sz10)
% 84.51/44.25 |
% 84.51/44.25 | Using (38) and (64) yields:
% 84.51/44.25 | (99) ~ (xp = sz10)
% 84.51/44.25 |
% 84.51/44.25 | Using (21) and (68) yields:
% 84.51/44.25 | (100) ~ (xr = sz00)
% 84.51/44.25 |
% 84.51/44.25 | Using (38) and (68) yields:
% 84.51/44.25 | (101) ~ (xp = sz00)
% 84.51/44.25 |
% 84.51/44.25 | Instantiating formula (57) with all_0_9_9, xr and discharging atoms doDivides0(xr, all_0_9_9) = 0, yields:
% 84.51/44.25 | (102) all_0_9_9 = sz00 | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xr, all_0_9_9) = v2 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 84.51/44.25 |
% 84.51/44.25 | Instantiating formula (43) with all_0_9_9, xr and discharging atoms doDivides0(xr, all_0_9_9) = 0, yields:
% 84.51/44.25 | (103) ? [v0] : ? [v1] : ? [v2] : ((v2 = all_0_9_9 & v1 = 0 & sdtasdt0(xr, v0) = all_0_9_9 & aNaturalNumber0(v0) = 0) | (aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 84.51/44.25 |
% 84.51/44.25 | Instantiating formula (43) with xk, xr and discharging atoms doDivides0(xr, xk) = 0, yields:
% 84.51/44.25 | (104) ? [v0] : ? [v1] : ? [v2] : ((v2 = xk & v1 = 0 & sdtasdt0(xr, v0) = xk & aNaturalNumber0(v0) = 0) | (aNaturalNumber0(xr) = v0 & aNaturalNumber0(xk) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 84.51/44.25 |
% 84.51/44.25 | Instantiating formula (57) with xn, xr and discharging atoms doDivides0(xr, xn) = 0, yields:
% 84.51/44.25 | (105) xn = sz00 | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xr, xn) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 84.51/44.25 |
% 84.51/44.25 | Instantiating formula (43) with xn, xr and discharging atoms doDivides0(xr, xn) = 0, yields:
% 84.51/44.25 | (106) ? [v0] : ? [v1] : ? [v2] : ((v2 = xn & v1 = 0 & sdtasdt0(xr, v0) = xn & aNaturalNumber0(v0) = 0) | (aNaturalNumber0(xr) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 84.51/44.25 |
% 84.51/44.25 | Instantiating formula (57) with all_0_9_9, xp and discharging atoms doDivides0(xp, all_0_9_9) = 0, yields:
% 84.51/44.25 | (107) all_0_9_9 = sz00 | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xp, all_0_9_9) = v2 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 84.51/44.25 |
% 84.51/44.25 | Instantiating formula (43) with all_0_9_9, xp and discharging atoms doDivides0(xp, all_0_9_9) = 0, yields:
% 84.51/44.25 | (108) ? [v0] : ? [v1] : ? [v2] : ((v2 = all_0_9_9 & v1 = 0 & sdtasdt0(xp, v0) = all_0_9_9 & aNaturalNumber0(v0) = 0) | (aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 84.51/44.25 |
% 84.51/44.25 | Instantiating formula (84) with xn, all_0_5_5 and discharging atoms sdtlseqdt0(all_0_5_5, xn) = 0, yields:
% 84.51/44.25 | (109) all_0_5_5 = xn | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xn, all_0_5_5) = v2 & aNaturalNumber0(all_0_5_5) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 84.51/44.26 |
% 84.51/44.26 | Instantiating formula (47) with xk, xr and discharging atoms sdtlseqdt0(xr, xk) = 0, yields:
% 84.51/44.26 | (110) ? [v0] : ? [v1] : ? [v2] : ((v2 = xk & v1 = 0 & sdtpldt0(xr, v0) = xk & aNaturalNumber0(v0) = 0) | (aNaturalNumber0(xr) = v0 & aNaturalNumber0(xk) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 84.51/44.26 |
% 84.51/44.26 | Instantiating formula (84) with xp, xk and discharging atoms sdtlseqdt0(xk, xp) = 0, yields:
% 84.51/44.26 | (111) xk = xp | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xp, xk) = v2 & aNaturalNumber0(xk) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 84.51/44.26 |
% 84.51/44.26 | Instantiating formula (47) with xp, xk and discharging atoms sdtlseqdt0(xk, xp) = 0, yields:
% 84.51/44.26 | (112) ? [v0] : ? [v1] : ? [v2] : ((v2 = xp & v1 = 0 & sdtpldt0(xk, v0) = xp & aNaturalNumber0(v0) = 0) | (aNaturalNumber0(xk) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 84.51/44.26 |
% 84.51/44.26 | Instantiating formula (47) with xp, xm and discharging atoms sdtlseqdt0(xm, xp) = 0, yields:
% 84.51/44.26 | (113) ? [v0] : ? [v1] : ? [v2] : ((v2 = xp & v1 = 0 & sdtpldt0(xm, v0) = xp & aNaturalNumber0(v0) = 0) | (aNaturalNumber0(xp) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 84.51/44.26 |
% 84.51/44.26 | Instantiating formula (47) with xp, xn and discharging atoms sdtlseqdt0(xn, xp) = 0, yields:
% 84.51/44.26 | (114) ? [v0] : ? [v1] : ? [v2] : ((v2 = xp & v1 = 0 & sdtpldt0(xn, v0) = xp & aNaturalNumber0(v0) = 0) | (aNaturalNumber0(xp) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 84.51/44.26 |
% 84.51/44.26 | Instantiating formula (92) with all_0_9_9, xr, all_0_2_2 and discharging atoms sdtasdt0(all_0_2_2, xr) = all_0_9_9, yields:
% 84.51/44.26 | (115) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(xr, all_0_2_2) = v2 & aNaturalNumber0(all_0_2_2) = v0 & aNaturalNumber0(xr) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_9_9))
% 84.51/44.26 |
% 84.51/44.26 | Instantiating formula (55) with all_0_9_9, xr, all_0_2_2 and discharging atoms sdtasdt0(all_0_2_2, xr) = all_0_9_9, yields:
% 84.51/44.26 | (116) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_0_2_2) = v0 & aNaturalNumber0(all_0_9_9) = v2 & aNaturalNumber0(xr) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 84.51/44.26 |
% 84.51/44.26 | Instantiating formula (92) with all_0_9_9, xr, all_0_4_4 and discharging atoms sdtasdt0(all_0_4_4, xr) = all_0_9_9, yields:
% 84.51/44.26 | (117) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(xr, all_0_4_4) = v2 & aNaturalNumber0(all_0_4_4) = v0 & aNaturalNumber0(xr) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_9_9))
% 84.51/44.26 |
% 84.51/44.26 | Instantiating formula (55) with all_0_9_9, xr, all_0_4_4 and discharging atoms sdtasdt0(all_0_4_4, xr) = all_0_9_9, yields:
% 84.51/44.26 | (118) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_0_4_4) = v0 & aNaturalNumber0(all_0_9_9) = v2 & aNaturalNumber0(xr) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 84.51/44.26 |
% 84.51/44.26 | Instantiating formula (52) with all_0_9_9, all_0_4_4, xr, xm, all_0_5_5 and discharging atoms sdtasdt0(all_0_4_4, xr) = all_0_9_9, sdtasdt0(all_0_5_5, xm) = all_0_4_4, yields:
% 84.51/44.26 | (119) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_5_5, v3) = v4 & sdtasdt0(xm, xr) = v3 & aNaturalNumber0(all_0_5_5) = v0 & aNaturalNumber0(xr) = v2 & aNaturalNumber0(xm) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_9_9))
% 84.51/44.26 |
% 84.51/44.26 | Instantiating formula (92) with all_0_4_4, xm, all_0_5_5 and discharging atoms sdtasdt0(all_0_5_5, xm) = all_0_4_4, yields:
% 84.51/44.26 | (120) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(xm, all_0_5_5) = v2 & aNaturalNumber0(all_0_5_5) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_4_4))
% 84.51/44.26 |
% 84.51/44.26 | Instantiating formula (55) with all_0_4_4, xm, all_0_5_5 and discharging atoms sdtasdt0(all_0_5_5, xm) = all_0_4_4, yields:
% 84.51/44.26 | (121) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_0_4_4) = v2 & aNaturalNumber0(all_0_5_5) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 84.51/44.26 |
% 84.51/44.26 | Instantiating formula (52) with all_0_9_9, all_0_2_2, xr, all_0_1_1, xp and discharging atoms sdtasdt0(all_0_2_2, xr) = all_0_9_9, yields:
% 84.51/44.26 | (122) ~ (sdtasdt0(xp, all_0_1_1) = all_0_2_2) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_1_1, xr) = v3 & sdtasdt0(xp, v3) = v4 & aNaturalNumber0(all_0_1_1) = v1 & aNaturalNumber0(xr) = v2 & aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_9_9))
% 84.51/44.26 |
% 84.51/44.26 | Instantiating formula (92) with all_0_0_0, all_0_1_1, xp and discharging atoms sdtasdt0(xp, all_0_1_1) = all_0_0_0, yields:
% 84.51/44.26 | (123) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_0_1_1, xp) = v2 & aNaturalNumber0(all_0_1_1) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_0_0))
% 84.51/44.26 |
% 84.51/44.26 | Instantiating formula (55) with all_0_0_0, all_0_1_1, xp and discharging atoms sdtasdt0(xp, all_0_1_1) = all_0_0_0, yields:
% 84.51/44.26 | (124) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_0_0_0) = v2 & aNaturalNumber0(all_0_1_1) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 84.51/44.26 |
% 84.51/44.26 | Instantiating formula (37) with all_0_7_7, xm, xp, xk and discharging atoms sdtlseqdt0(xp, xm) = all_0_7_7, yields:
% 84.51/44.26 | (125) all_0_7_7 = 0 | xk = sz00 | ~ (sdtasdt0(xp, xk) = xm) | ? [v0] : ? [v1] : (aNaturalNumber0(xk) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.51/44.26 |
% 84.51/44.26 | Instantiating formula (78) with all_0_2_2, all_0_3_3, xp, all_0_1_1, xk, xr and discharging atoms sdtsldt0(all_0_3_3, xr) = all_0_2_2, sdtsldt0(xk, xr) = all_0_1_1, sdtasdt0(xp, xk) = all_0_3_3, yields:
% 84.51/44.26 | (126) xr = sz00 | ? [v0] : ? [v1] : ? [v2] : ((doDivides0(xr, xk) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xk) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) | (sdtasdt0(xp, all_0_1_1) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v0 = 0) | v1 = all_0_2_2)))
% 84.51/44.26 |
% 84.51/44.26 | Instantiating formula (93) with all_0_3_3, xk, all_0_9_9, xp and discharging atoms sdtsldt0(all_0_9_9, xp) = xk, sdtasdt0(xp, xk) = all_0_3_3, yields:
% 84.51/44.26 | (127) all_0_3_3 = all_0_9_9 | xp = sz00 | ? [v0] : ? [v1] : ? [v2] : (doDivides0(xp, all_0_9_9) = v2 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 84.51/44.26 |
% 84.51/44.26 | Instantiating formula (45) with all_0_3_3, xk, all_0_9_9, xp and discharging atoms sdtsldt0(all_0_9_9, xp) = xk, sdtasdt0(xp, xk) = all_0_3_3, yields:
% 84.51/44.27 | (128) xp = sz00 | ? [v0] : ? [v1] : ? [v2] : ((v0 = 0 & aNaturalNumber0(xk) = 0) | (doDivides0(xp, all_0_9_9) = v2 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 84.51/44.27 |
% 84.51/44.27 | Instantiating formula (53) with xk, xp yields:
% 84.51/44.27 | (129) xk = sz00 | xp = sz00 | ~ (sdtasdt0(xp, xk) = sz00) | ? [v0] : ? [v1] : (aNaturalNumber0(xk) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.51/44.27 |
% 84.51/44.27 | Instantiating formula (92) with all_0_3_3, xk, xp and discharging atoms sdtasdt0(xp, xk) = all_0_3_3, yields:
% 84.51/44.27 | (130) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(xk, xp) = v2 & aNaturalNumber0(xk) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_3_3))
% 84.51/44.27 |
% 84.51/44.27 | Instantiating formula (55) with all_0_3_3, xk, xp and discharging atoms sdtasdt0(xp, xk) = all_0_3_3, yields:
% 84.51/44.27 | (131) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_0_3_3) = v2 & aNaturalNumber0(xk) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 84.51/44.27 |
% 84.51/44.27 | Instantiating formula (77) with all_0_9_9, xm yields:
% 84.51/44.27 | (132) ~ (sdtasdt0(sz10, xm) = all_0_9_9) | ? [v0] : ? [v1] : (sdtasdt0(xm, sz10) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v0 = 0) | (v1 = xm & all_0_9_9 = xm)))
% 84.51/44.27 |
% 84.51/44.27 | Instantiating formula (9) with all_0_9_9, xm yields:
% 84.51/44.27 | (133) ~ (sdtasdt0(sz00, xm) = all_0_9_9) | ? [v0] : ? [v1] : (sdtasdt0(xm, sz00) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v0 = 0) | (v1 = sz00 & all_0_9_9 = sz00)))
% 84.51/44.27 |
% 84.51/44.27 | Instantiating formula (92) with all_0_9_9, xm, xn and discharging atoms sdtasdt0(xn, xm) = all_0_9_9, yields:
% 84.51/44.27 | (134) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(xm, xn) = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_9_9))
% 84.51/44.27 |
% 84.51/44.27 | Instantiating formula (55) with all_0_9_9, xm, xn and discharging atoms sdtasdt0(xn, xm) = all_0_9_9, yields:
% 84.51/44.27 | (135) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_0_9_9) = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 84.51/44.27 |
% 84.51/44.27 | Instantiating formula (82) with all_0_10_10, xp, all_0_11_11 and discharging atoms sdtpldt0(all_0_11_11, xp) = all_0_10_10, yields:
% 84.51/44.27 | (136) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(xp, all_0_11_11) = v2 & aNaturalNumber0(all_0_11_11) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_10_10))
% 84.51/44.27 |
% 84.51/44.27 | Instantiating formula (30) with all_0_10_10, xp, all_0_11_11 and discharging atoms sdtpldt0(all_0_11_11, xp) = all_0_10_10, yields:
% 84.51/44.27 | (137) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_0_10_10) = v2 & aNaturalNumber0(all_0_11_11) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 84.51/44.27 |
% 84.51/44.27 | Instantiating formula (24) with all_0_10_10, all_0_11_11, xp, xm, xn and discharging atoms sdtpldt0(all_0_11_11, xp) = all_0_10_10, sdtpldt0(xn, xm) = all_0_11_11, yields:
% 84.51/44.27 | (138) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (isPrime0(xp) = v3 & doDivides0(xp, v4) = v5 & doDivides0(xp, xm) = v8 & doDivides0(xp, xn) = v7 & iLess0(all_0_10_10, all_0_10_10) = v6 & sdtasdt0(xn, xm) = v4 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0))
% 84.51/44.27 |
% 84.51/44.27 | Instantiating formula (83) with all_0_10_10, all_0_11_11, xp, xm, xn and discharging atoms sdtpldt0(all_0_11_11, xp) = all_0_10_10, sdtpldt0(xn, xm) = all_0_11_11, yields:
% 84.51/44.27 | (139) ? [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_10_10))
% 84.51/44.27 |
% 84.51/44.27 | Instantiating formula (82) with all_0_11_11, xm, xn and discharging atoms sdtpldt0(xn, xm) = all_0_11_11, yields:
% 84.51/44.27 | (140) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(xm, xn) = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_11_11))
% 84.51/44.27 |
% 84.51/44.27 | Instantiating formula (30) with all_0_11_11, xm, xn and discharging atoms sdtpldt0(xn, xm) = all_0_11_11, yields:
% 84.51/44.27 | (141) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_0_11_11) = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 84.51/44.27 |
% 84.51/44.27 | Instantiating formula (67) with xr and discharging atoms aNaturalNumber0(xr) = 0, yields:
% 84.51/44.27 | (142) xr = sz10 | xr = sz00 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xr) = 0 & aNaturalNumber0(v0) = 0)
% 84.51/44.27 |
% 84.51/44.27 | Instantiating formula (67) with xp and discharging atoms aNaturalNumber0(xp) = 0, yields:
% 84.51/44.27 | (143) xp = sz10 | xp = sz00 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xp) = 0 & aNaturalNumber0(v0) = 0)
% 84.51/44.27 |
% 84.51/44.27 | Instantiating formula (67) with xn and discharging atoms aNaturalNumber0(xn) = 0, yields:
% 84.51/44.27 | (144) xn = sz10 | xn = sz00 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xn) = 0 & aNaturalNumber0(v0) = 0)
% 84.51/44.27 |
% 84.51/44.27 | Instantiating (141) with all_12_0_12, all_12_1_13, all_12_2_14 yields:
% 84.51/44.27 | (145) aNaturalNumber0(all_0_11_11) = all_12_0_12 & aNaturalNumber0(xm) = all_12_1_13 & aNaturalNumber0(xn) = all_12_2_14 & ( ~ (all_12_1_13 = 0) | ~ (all_12_2_14 = 0) | all_12_0_12 = 0)
% 84.51/44.27 |
% 84.51/44.27 | Applying alpha-rule on (145) yields:
% 84.51/44.27 | (146) aNaturalNumber0(all_0_11_11) = all_12_0_12
% 84.51/44.27 | (147) aNaturalNumber0(xm) = all_12_1_13
% 84.51/44.27 | (148) aNaturalNumber0(xn) = all_12_2_14
% 84.51/44.27 | (149) ~ (all_12_1_13 = 0) | ~ (all_12_2_14 = 0) | all_12_0_12 = 0
% 84.51/44.27 |
% 84.51/44.27 | Instantiating (139) with all_14_0_15, all_14_1_16, all_14_2_17, all_14_3_18, all_14_4_19 yields:
% 84.51/44.27 | (150) sdtpldt0(xm, xp) = all_14_1_16 & sdtpldt0(xn, all_14_1_16) = all_14_0_15 & aNaturalNumber0(xp) = all_14_2_17 & aNaturalNumber0(xm) = all_14_3_18 & aNaturalNumber0(xn) = all_14_4_19 & ( ~ (all_14_2_17 = 0) | ~ (all_14_3_18 = 0) | ~ (all_14_4_19 = 0) | all_14_0_15 = all_0_10_10)
% 84.51/44.27 |
% 84.51/44.27 | Applying alpha-rule on (150) yields:
% 84.51/44.27 | (151) aNaturalNumber0(xm) = all_14_3_18
% 84.51/44.27 | (152) aNaturalNumber0(xp) = all_14_2_17
% 84.51/44.27 | (153) aNaturalNumber0(xn) = all_14_4_19
% 84.51/44.27 | (154) ~ (all_14_2_17 = 0) | ~ (all_14_3_18 = 0) | ~ (all_14_4_19 = 0) | all_14_0_15 = all_0_10_10
% 84.51/44.27 | (155) sdtpldt0(xn, all_14_1_16) = all_14_0_15
% 84.51/44.28 | (156) sdtpldt0(xm, xp) = all_14_1_16
% 84.51/44.28 |
% 84.51/44.28 | Instantiating (137) with all_16_0_20, all_16_1_21, all_16_2_22 yields:
% 84.51/44.28 | (157) aNaturalNumber0(all_0_10_10) = all_16_0_20 & aNaturalNumber0(all_0_11_11) = all_16_2_22 & aNaturalNumber0(xp) = all_16_1_21 & ( ~ (all_16_1_21 = 0) | ~ (all_16_2_22 = 0) | all_16_0_20 = 0)
% 84.51/44.28 |
% 84.51/44.28 | Applying alpha-rule on (157) yields:
% 84.51/44.28 | (158) aNaturalNumber0(all_0_10_10) = all_16_0_20
% 84.51/44.28 | (159) aNaturalNumber0(all_0_11_11) = all_16_2_22
% 84.51/44.28 | (160) aNaturalNumber0(xp) = all_16_1_21
% 84.51/44.28 | (161) ~ (all_16_1_21 = 0) | ~ (all_16_2_22 = 0) | all_16_0_20 = 0
% 84.51/44.28 |
% 84.51/44.28 | Instantiating (135) with all_18_0_23, all_18_1_24, all_18_2_25 yields:
% 84.51/44.28 | (162) aNaturalNumber0(all_0_9_9) = all_18_0_23 & aNaturalNumber0(xm) = all_18_1_24 & aNaturalNumber0(xn) = all_18_2_25 & ( ~ (all_18_1_24 = 0) | ~ (all_18_2_25 = 0) | all_18_0_23 = 0)
% 84.51/44.28 |
% 84.51/44.28 | Applying alpha-rule on (162) yields:
% 84.51/44.28 | (163) aNaturalNumber0(all_0_9_9) = all_18_0_23
% 84.51/44.28 | (164) aNaturalNumber0(xm) = all_18_1_24
% 84.51/44.28 | (165) aNaturalNumber0(xn) = all_18_2_25
% 84.51/44.28 | (166) ~ (all_18_1_24 = 0) | ~ (all_18_2_25 = 0) | all_18_0_23 = 0
% 84.51/44.28 |
% 84.51/44.28 | Instantiating (121) with all_20_0_26, all_20_1_27, all_20_2_28 yields:
% 84.51/44.28 | (167) aNaturalNumber0(all_0_4_4) = all_20_0_26 & aNaturalNumber0(all_0_5_5) = all_20_2_28 & aNaturalNumber0(xm) = all_20_1_27 & ( ~ (all_20_1_27 = 0) | ~ (all_20_2_28 = 0) | all_20_0_26 = 0)
% 84.51/44.28 |
% 84.51/44.28 | Applying alpha-rule on (167) yields:
% 84.51/44.28 | (168) aNaturalNumber0(all_0_4_4) = all_20_0_26
% 84.51/44.28 | (169) aNaturalNumber0(all_0_5_5) = all_20_2_28
% 84.51/44.28 | (170) aNaturalNumber0(xm) = all_20_1_27
% 84.51/44.28 | (171) ~ (all_20_1_27 = 0) | ~ (all_20_2_28 = 0) | all_20_0_26 = 0
% 84.51/44.28 |
% 84.51/44.28 | Instantiating (120) with all_22_0_29, all_22_1_30, all_22_2_31 yields:
% 84.51/44.28 | (172) sdtasdt0(xm, all_0_5_5) = all_22_0_29 & aNaturalNumber0(all_0_5_5) = all_22_2_31 & aNaturalNumber0(xm) = all_22_1_30 & ( ~ (all_22_1_30 = 0) | ~ (all_22_2_31 = 0) | all_22_0_29 = all_0_4_4)
% 84.51/44.28 |
% 84.51/44.28 | Applying alpha-rule on (172) yields:
% 84.51/44.28 | (173) sdtasdt0(xm, all_0_5_5) = all_22_0_29
% 84.51/44.28 | (174) aNaturalNumber0(all_0_5_5) = all_22_2_31
% 84.51/44.28 | (175) aNaturalNumber0(xm) = all_22_1_30
% 84.51/44.28 | (176) ~ (all_22_1_30 = 0) | ~ (all_22_2_31 = 0) | all_22_0_29 = all_0_4_4
% 84.51/44.28 |
% 84.51/44.28 | Instantiating (112) with all_24_0_32, all_24_1_33, all_24_2_34 yields:
% 84.51/44.28 | (177) (all_24_0_32 = xp & all_24_1_33 = 0 & sdtpldt0(xk, all_24_2_34) = xp & aNaturalNumber0(all_24_2_34) = 0) | (aNaturalNumber0(xk) = all_24_2_34 & aNaturalNumber0(xp) = all_24_1_33 & ( ~ (all_24_1_33 = 0) | ~ (all_24_2_34 = 0)))
% 84.51/44.28 |
% 84.51/44.28 | Instantiating (110) with all_25_0_35, all_25_1_36, all_25_2_37 yields:
% 84.51/44.28 | (178) (all_25_0_35 = xk & all_25_1_36 = 0 & sdtpldt0(xr, all_25_2_37) = xk & aNaturalNumber0(all_25_2_37) = 0) | (aNaturalNumber0(xr) = all_25_2_37 & aNaturalNumber0(xk) = all_25_1_36 & ( ~ (all_25_1_36 = 0) | ~ (all_25_2_37 = 0)))
% 84.51/44.28 |
% 84.51/44.28 | Instantiating (104) with all_27_0_41, all_27_1_42, all_27_2_43 yields:
% 84.51/44.28 | (179) (all_27_0_41 = xk & all_27_1_42 = 0 & sdtasdt0(xr, all_27_2_43) = xk & aNaturalNumber0(all_27_2_43) = 0) | (aNaturalNumber0(xr) = all_27_2_43 & aNaturalNumber0(xk) = all_27_1_42 & ( ~ (all_27_1_42 = 0) | ~ (all_27_2_43 = 0)))
% 84.51/44.28 |
% 84.51/44.28 | Instantiating (108) with all_28_0_44, all_28_1_45, all_28_2_46 yields:
% 84.51/44.28 | (180) (all_28_0_44 = all_0_9_9 & all_28_1_45 = 0 & sdtasdt0(xp, all_28_2_46) = all_0_9_9 & aNaturalNumber0(all_28_2_46) = 0) | (aNaturalNumber0(all_0_9_9) = all_28_1_45 & aNaturalNumber0(xp) = all_28_2_46 & ( ~ (all_28_1_45 = 0) | ~ (all_28_2_46 = 0)))
% 84.51/44.28 |
% 84.51/44.28 | Instantiating (106) with all_29_0_47, all_29_1_48, all_29_2_49 yields:
% 84.51/44.28 | (181) (all_29_0_47 = xn & all_29_1_48 = 0 & sdtasdt0(xr, all_29_2_49) = xn & aNaturalNumber0(all_29_2_49) = 0) | (aNaturalNumber0(xr) = all_29_2_49 & aNaturalNumber0(xn) = all_29_1_48 & ( ~ (all_29_1_48 = 0) | ~ (all_29_2_49 = 0)))
% 84.51/44.28 |
% 84.51/44.28 | Instantiating (119) with all_30_0_50, all_30_1_51, all_30_2_52, all_30_3_53, all_30_4_54 yields:
% 84.51/44.28 | (182) sdtasdt0(all_0_5_5, all_30_1_51) = all_30_0_50 & sdtasdt0(xm, xr) = all_30_1_51 & aNaturalNumber0(all_0_5_5) = all_30_4_54 & aNaturalNumber0(xr) = all_30_2_52 & aNaturalNumber0(xm) = all_30_3_53 & ( ~ (all_30_2_52 = 0) | ~ (all_30_3_53 = 0) | ~ (all_30_4_54 = 0) | all_30_0_50 = all_0_9_9)
% 84.51/44.28 |
% 84.51/44.28 | Applying alpha-rule on (182) yields:
% 84.51/44.28 | (183) aNaturalNumber0(xm) = all_30_3_53
% 84.51/44.28 | (184) sdtasdt0(xm, xr) = all_30_1_51
% 84.51/44.28 | (185) sdtasdt0(all_0_5_5, all_30_1_51) = all_30_0_50
% 84.51/44.28 | (186) aNaturalNumber0(xr) = all_30_2_52
% 84.51/44.28 | (187) ~ (all_30_2_52 = 0) | ~ (all_30_3_53 = 0) | ~ (all_30_4_54 = 0) | all_30_0_50 = all_0_9_9
% 84.51/44.28 | (188) aNaturalNumber0(all_0_5_5) = all_30_4_54
% 84.51/44.28 |
% 84.51/44.28 | Instantiating (116) with all_32_0_55, all_32_1_56, all_32_2_57 yields:
% 84.51/44.28 | (189) aNaturalNumber0(all_0_2_2) = all_32_2_57 & aNaturalNumber0(all_0_9_9) = all_32_0_55 & aNaturalNumber0(xr) = all_32_1_56 & ( ~ (all_32_1_56 = 0) | ~ (all_32_2_57 = 0) | all_32_0_55 = 0)
% 84.51/44.28 |
% 84.51/44.28 | Applying alpha-rule on (189) yields:
% 84.51/44.28 | (190) aNaturalNumber0(all_0_2_2) = all_32_2_57
% 84.51/44.28 | (191) aNaturalNumber0(all_0_9_9) = all_32_0_55
% 84.51/44.28 | (192) aNaturalNumber0(xr) = all_32_1_56
% 84.51/44.28 | (193) ~ (all_32_1_56 = 0) | ~ (all_32_2_57 = 0) | all_32_0_55 = 0
% 84.51/44.28 |
% 84.51/44.28 | Instantiating (115) with all_34_0_58, all_34_1_59, all_34_2_60 yields:
% 84.51/44.28 | (194) sdtasdt0(xr, all_0_2_2) = all_34_0_58 & aNaturalNumber0(all_0_2_2) = all_34_2_60 & aNaturalNumber0(xr) = all_34_1_59 & ( ~ (all_34_1_59 = 0) | ~ (all_34_2_60 = 0) | all_34_0_58 = all_0_9_9)
% 84.51/44.28 |
% 84.51/44.28 | Applying alpha-rule on (194) yields:
% 84.51/44.28 | (195) sdtasdt0(xr, all_0_2_2) = all_34_0_58
% 84.51/44.28 | (196) aNaturalNumber0(all_0_2_2) = all_34_2_60
% 84.51/44.28 | (197) aNaturalNumber0(xr) = all_34_1_59
% 84.51/44.28 | (198) ~ (all_34_1_59 = 0) | ~ (all_34_2_60 = 0) | all_34_0_58 = all_0_9_9
% 84.51/44.28 |
% 84.51/44.28 | Instantiating (118) with all_36_0_61, all_36_1_62, all_36_2_63 yields:
% 84.51/44.28 | (199) aNaturalNumber0(all_0_4_4) = all_36_2_63 & aNaturalNumber0(all_0_9_9) = all_36_0_61 & aNaturalNumber0(xr) = all_36_1_62 & ( ~ (all_36_1_62 = 0) | ~ (all_36_2_63 = 0) | all_36_0_61 = 0)
% 84.51/44.28 |
% 84.51/44.28 | Applying alpha-rule on (199) yields:
% 84.51/44.28 | (200) aNaturalNumber0(all_0_4_4) = all_36_2_63
% 84.51/44.28 | (201) aNaturalNumber0(all_0_9_9) = all_36_0_61
% 84.51/44.28 | (202) aNaturalNumber0(xr) = all_36_1_62
% 84.51/44.28 | (203) ~ (all_36_1_62 = 0) | ~ (all_36_2_63 = 0) | all_36_0_61 = 0
% 84.51/44.28 |
% 84.51/44.28 | Instantiating (103) with all_38_0_64, all_38_1_65, all_38_2_66 yields:
% 84.51/44.28 | (204) (all_38_0_64 = all_0_9_9 & all_38_1_65 = 0 & sdtasdt0(xr, all_38_2_66) = all_0_9_9 & aNaturalNumber0(all_38_2_66) = 0) | (aNaturalNumber0(all_0_9_9) = all_38_1_65 & aNaturalNumber0(xr) = all_38_2_66 & ( ~ (all_38_1_65 = 0) | ~ (all_38_2_66 = 0)))
% 84.51/44.28 |
% 84.51/44.28 | Instantiating (136) with all_39_0_67, all_39_1_68, all_39_2_69 yields:
% 84.51/44.28 | (205) sdtpldt0(xp, all_0_11_11) = all_39_0_67 & aNaturalNumber0(all_0_11_11) = all_39_2_69 & aNaturalNumber0(xp) = all_39_1_68 & ( ~ (all_39_1_68 = 0) | ~ (all_39_2_69 = 0) | all_39_0_67 = all_0_10_10)
% 84.51/44.28 |
% 84.51/44.28 | Applying alpha-rule on (205) yields:
% 84.51/44.28 | (206) sdtpldt0(xp, all_0_11_11) = all_39_0_67
% 84.51/44.28 | (207) aNaturalNumber0(all_0_11_11) = all_39_2_69
% 84.51/44.28 | (208) aNaturalNumber0(xp) = all_39_1_68
% 84.51/44.28 | (209) ~ (all_39_1_68 = 0) | ~ (all_39_2_69 = 0) | all_39_0_67 = all_0_10_10
% 84.51/44.28 |
% 84.51/44.28 | Instantiating (130) with all_41_0_70, all_41_1_71, all_41_2_72 yields:
% 84.51/44.28 | (210) sdtasdt0(xk, xp) = all_41_0_70 & aNaturalNumber0(xk) = all_41_1_71 & aNaturalNumber0(xp) = all_41_2_72 & ( ~ (all_41_1_71 = 0) | ~ (all_41_2_72 = 0) | all_41_0_70 = all_0_3_3)
% 84.51/44.28 |
% 84.51/44.28 | Applying alpha-rule on (210) yields:
% 84.51/44.28 | (211) sdtasdt0(xk, xp) = all_41_0_70
% 84.51/44.28 | (212) aNaturalNumber0(xk) = all_41_1_71
% 84.51/44.28 | (213) aNaturalNumber0(xp) = all_41_2_72
% 84.51/44.28 | (214) ~ (all_41_1_71 = 0) | ~ (all_41_2_72 = 0) | all_41_0_70 = all_0_3_3
% 84.51/44.29 |
% 84.51/44.29 | Instantiating (124) with all_43_0_73, all_43_1_74, all_43_2_75 yields:
% 84.51/44.29 | (215) aNaturalNumber0(all_0_0_0) = all_43_0_73 & aNaturalNumber0(all_0_1_1) = all_43_1_74 & aNaturalNumber0(xp) = all_43_2_75 & ( ~ (all_43_1_74 = 0) | ~ (all_43_2_75 = 0) | all_43_0_73 = 0)
% 84.51/44.29 |
% 84.51/44.29 | Applying alpha-rule on (215) yields:
% 84.51/44.29 | (216) aNaturalNumber0(all_0_0_0) = all_43_0_73
% 84.51/44.29 | (217) aNaturalNumber0(all_0_1_1) = all_43_1_74
% 84.51/44.29 | (218) aNaturalNumber0(xp) = all_43_2_75
% 84.51/44.29 | (219) ~ (all_43_1_74 = 0) | ~ (all_43_2_75 = 0) | all_43_0_73 = 0
% 84.51/44.29 |
% 84.51/44.29 | Instantiating (123) with all_45_0_76, all_45_1_77, all_45_2_78 yields:
% 84.51/44.29 | (220) sdtasdt0(all_0_1_1, xp) = all_45_0_76 & aNaturalNumber0(all_0_1_1) = all_45_1_77 & aNaturalNumber0(xp) = all_45_2_78 & ( ~ (all_45_1_77 = 0) | ~ (all_45_2_78 = 0) | all_45_0_76 = all_0_0_0)
% 84.51/44.29 |
% 84.51/44.29 | Applying alpha-rule on (220) yields:
% 84.51/44.29 | (221) sdtasdt0(all_0_1_1, xp) = all_45_0_76
% 84.51/44.29 | (222) aNaturalNumber0(all_0_1_1) = all_45_1_77
% 84.51/44.29 | (223) aNaturalNumber0(xp) = all_45_2_78
% 84.51/44.29 | (224) ~ (all_45_1_77 = 0) | ~ (all_45_2_78 = 0) | all_45_0_76 = all_0_0_0
% 84.51/44.29 |
% 84.51/44.29 | Instantiating (134) with all_47_0_79, all_47_1_80, all_47_2_81 yields:
% 84.51/44.29 | (225) sdtasdt0(xm, xn) = all_47_0_79 & aNaturalNumber0(xm) = all_47_1_80 & aNaturalNumber0(xn) = all_47_2_81 & ( ~ (all_47_1_80 = 0) | ~ (all_47_2_81 = 0) | all_47_0_79 = all_0_9_9)
% 84.51/44.29 |
% 84.51/44.29 | Applying alpha-rule on (225) yields:
% 84.51/44.29 | (226) sdtasdt0(xm, xn) = all_47_0_79
% 84.51/44.29 | (227) aNaturalNumber0(xm) = all_47_1_80
% 84.51/44.29 | (228) aNaturalNumber0(xn) = all_47_2_81
% 84.51/44.29 | (229) ~ (all_47_1_80 = 0) | ~ (all_47_2_81 = 0) | all_47_0_79 = all_0_9_9
% 84.51/44.29 |
% 84.51/44.29 | Instantiating (131) with all_49_0_82, all_49_1_83, all_49_2_84 yields:
% 84.51/44.29 | (230) aNaturalNumber0(all_0_3_3) = all_49_0_82 & aNaturalNumber0(xk) = all_49_1_83 & aNaturalNumber0(xp) = all_49_2_84 & ( ~ (all_49_1_83 = 0) | ~ (all_49_2_84 = 0) | all_49_0_82 = 0)
% 84.51/44.29 |
% 84.51/44.29 | Applying alpha-rule on (230) yields:
% 84.51/44.29 | (231) aNaturalNumber0(all_0_3_3) = all_49_0_82
% 84.51/44.29 | (232) aNaturalNumber0(xk) = all_49_1_83
% 84.51/44.29 | (233) aNaturalNumber0(xp) = all_49_2_84
% 84.51/44.29 | (234) ~ (all_49_1_83 = 0) | ~ (all_49_2_84 = 0) | all_49_0_82 = 0
% 84.51/44.29 |
% 84.51/44.29 | Instantiating (138) with all_51_0_85, all_51_1_86, all_51_2_87, all_51_3_88, all_51_4_89, all_51_5_90, all_51_6_91, all_51_7_92, all_51_8_93 yields:
% 84.51/44.29 | (235) isPrime0(xp) = all_51_5_90 & doDivides0(xp, all_51_4_89) = all_51_3_88 & doDivides0(xp, xm) = all_51_0_85 & doDivides0(xp, xn) = all_51_1_86 & iLess0(all_0_10_10, all_0_10_10) = all_51_2_87 & sdtasdt0(xn, xm) = all_51_4_89 & aNaturalNumber0(xp) = all_51_6_91 & aNaturalNumber0(xm) = all_51_7_92 & aNaturalNumber0(xn) = all_51_8_93 & ( ~ (all_51_2_87 = 0) | ~ (all_51_3_88 = 0) | ~ (all_51_5_90 = 0) | ~ (all_51_6_91 = 0) | ~ (all_51_7_92 = 0) | ~ (all_51_8_93 = 0) | all_51_0_85 = 0 | all_51_1_86 = 0)
% 84.51/44.29 |
% 84.51/44.29 | Applying alpha-rule on (235) yields:
% 84.51/44.29 | (236) aNaturalNumber0(xp) = all_51_6_91
% 84.51/44.29 | (237) isPrime0(xp) = all_51_5_90
% 84.51/44.29 | (238) sdtasdt0(xn, xm) = all_51_4_89
% 84.51/44.29 | (239) doDivides0(xp, xm) = all_51_0_85
% 84.51/44.29 | (240) ~ (all_51_2_87 = 0) | ~ (all_51_3_88 = 0) | ~ (all_51_5_90 = 0) | ~ (all_51_6_91 = 0) | ~ (all_51_7_92 = 0) | ~ (all_51_8_93 = 0) | all_51_0_85 = 0 | all_51_1_86 = 0
% 84.51/44.29 | (241) aNaturalNumber0(xm) = all_51_7_92
% 84.51/44.29 | (242) doDivides0(xp, xn) = all_51_1_86
% 84.51/44.29 | (243) aNaturalNumber0(xn) = all_51_8_93
% 84.51/44.29 | (244) doDivides0(xp, all_51_4_89) = all_51_3_88
% 84.51/44.29 | (245) iLess0(all_0_10_10, all_0_10_10) = all_51_2_87
% 84.51/44.29 |
% 84.51/44.29 | Instantiating (140) with all_53_0_94, all_53_1_95, all_53_2_96 yields:
% 84.51/44.29 | (246) sdtpldt0(xm, xn) = all_53_0_94 & aNaturalNumber0(xm) = all_53_1_95 & aNaturalNumber0(xn) = all_53_2_96 & ( ~ (all_53_1_95 = 0) | ~ (all_53_2_96 = 0) | all_53_0_94 = all_0_11_11)
% 84.51/44.29 |
% 84.51/44.29 | Applying alpha-rule on (246) yields:
% 84.51/44.29 | (247) sdtpldt0(xm, xn) = all_53_0_94
% 84.51/44.29 | (248) aNaturalNumber0(xm) = all_53_1_95
% 84.51/44.29 | (249) aNaturalNumber0(xn) = all_53_2_96
% 84.51/44.29 | (250) ~ (all_53_1_95 = 0) | ~ (all_53_2_96 = 0) | all_53_0_94 = all_0_11_11
% 84.51/44.29 |
% 84.51/44.29 | Instantiating (114) with all_55_0_97, all_55_1_98, all_55_2_99 yields:
% 84.51/44.29 | (251) (all_55_0_97 = xp & all_55_1_98 = 0 & sdtpldt0(xn, all_55_2_99) = xp & aNaturalNumber0(all_55_2_99) = 0) | (aNaturalNumber0(xp) = all_55_1_98 & aNaturalNumber0(xn) = all_55_2_99 & ( ~ (all_55_1_98 = 0) | ~ (all_55_2_99 = 0)))
% 84.51/44.29 |
% 84.51/44.29 | Instantiating (117) with all_56_0_100, all_56_1_101, all_56_2_102 yields:
% 84.51/44.29 | (252) sdtasdt0(xr, all_0_4_4) = all_56_0_100 & aNaturalNumber0(all_0_4_4) = all_56_2_102 & aNaturalNumber0(xr) = all_56_1_101 & ( ~ (all_56_1_101 = 0) | ~ (all_56_2_102 = 0) | all_56_0_100 = all_0_9_9)
% 84.51/44.29 |
% 84.51/44.29 | Applying alpha-rule on (252) yields:
% 84.51/44.29 | (253) sdtasdt0(xr, all_0_4_4) = all_56_0_100
% 84.51/44.29 | (254) aNaturalNumber0(all_0_4_4) = all_56_2_102
% 84.51/44.29 | (255) aNaturalNumber0(xr) = all_56_1_101
% 84.51/44.29 | (256) ~ (all_56_1_101 = 0) | ~ (all_56_2_102 = 0) | all_56_0_100 = all_0_9_9
% 84.51/44.29 |
% 84.51/44.29 | Instantiating (113) with all_58_0_103, all_58_1_104, all_58_2_105 yields:
% 84.51/44.29 | (257) (all_58_0_103 = xp & all_58_1_104 = 0 & sdtpldt0(xm, all_58_2_105) = xp & aNaturalNumber0(all_58_2_105) = 0) | (aNaturalNumber0(xp) = all_58_1_104 & aNaturalNumber0(xm) = all_58_2_105 & ( ~ (all_58_1_104 = 0) | ~ (all_58_2_105 = 0)))
% 84.51/44.29 |
% 84.51/44.29 +-Applying beta-rule and splitting (128), into two cases.
% 84.51/44.29 |-Branch one:
% 84.51/44.29 | (258) xp = sz00
% 84.51/44.29 |
% 84.51/44.29 | Equations (258) can reduce 101 to:
% 84.51/44.29 | (259) $false
% 84.51/44.29 |
% 84.51/44.29 |-The branch is then unsatisfiable
% 84.51/44.29 |-Branch two:
% 84.51/44.29 | (101) ~ (xp = sz00)
% 84.51/44.29 | (261) ? [v0] : ? [v1] : ? [v2] : ((v0 = 0 & aNaturalNumber0(xk) = 0) | (doDivides0(xp, all_0_9_9) = v2 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 84.51/44.29 |
% 84.51/44.29 | Instantiating (261) with all_63_0_106, all_63_1_107, all_63_2_108 yields:
% 84.51/44.29 | (262) (all_63_2_108 = 0 & aNaturalNumber0(xk) = 0) | (doDivides0(xp, all_0_9_9) = all_63_0_106 & aNaturalNumber0(all_0_9_9) = all_63_1_107 & aNaturalNumber0(xp) = all_63_2_108 & ( ~ (all_63_0_106 = 0) | ~ (all_63_1_107 = 0) | ~ (all_63_2_108 = 0)))
% 84.51/44.29 |
% 84.51/44.29 +-Applying beta-rule and splitting (126), into two cases.
% 84.51/44.29 |-Branch one:
% 84.51/44.29 | (263) xr = sz00
% 84.51/44.29 |
% 84.51/44.29 | Equations (263) can reduce 100 to:
% 84.51/44.29 | (259) $false
% 84.51/44.29 |
% 84.51/44.29 |-The branch is then unsatisfiable
% 84.51/44.29 |-Branch two:
% 84.51/44.29 | (100) ~ (xr = sz00)
% 84.51/44.29 | (266) ? [v0] : ? [v1] : ? [v2] : ((doDivides0(xr, xk) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xk) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) | (sdtasdt0(xp, all_0_1_1) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v0 = 0) | v1 = all_0_2_2)))
% 84.51/44.29 |
% 84.51/44.29 | Instantiating (266) with all_67_0_109, all_67_1_110, all_67_2_111 yields:
% 84.51/44.29 | (267) (doDivides0(xr, xk) = all_67_0_109 & aNaturalNumber0(xr) = all_67_2_111 & aNaturalNumber0(xk) = all_67_1_110 & ( ~ (all_67_0_109 = 0) | ~ (all_67_1_110 = 0) | ~ (all_67_2_111 = 0))) | (sdtasdt0(xp, all_0_1_1) = all_67_1_110 & aNaturalNumber0(xp) = all_67_2_111 & ( ~ (all_67_2_111 = 0) | all_67_1_110 = all_0_2_2))
% 84.51/44.29 |
% 84.51/44.29 +-Applying beta-rule and splitting (109), into two cases.
% 84.51/44.29 |-Branch one:
% 84.51/44.29 | (268) all_0_5_5 = xn
% 84.51/44.29 |
% 84.51/44.29 | Equations (268) can reduce 17 to:
% 84.51/44.29 | (259) $false
% 84.51/44.29 |
% 84.51/44.29 |-The branch is then unsatisfiable
% 84.51/44.29 |-Branch two:
% 84.51/44.29 | (17) ~ (all_0_5_5 = xn)
% 84.51/44.29 | (271) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xn, all_0_5_5) = v2 & aNaturalNumber0(all_0_5_5) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 84.51/44.29 |
% 84.51/44.29 | Instantiating (271) with all_71_0_112, all_71_1_113, all_71_2_114 yields:
% 84.51/44.29 | (272) sdtlseqdt0(xn, all_0_5_5) = all_71_0_112 & aNaturalNumber0(all_0_5_5) = all_71_2_114 & aNaturalNumber0(xn) = all_71_1_113 & ( ~ (all_71_0_112 = 0) | ~ (all_71_1_113 = 0) | ~ (all_71_2_114 = 0))
% 84.51/44.29 |
% 84.51/44.29 | Applying alpha-rule on (272) yields:
% 84.51/44.29 | (273) sdtlseqdt0(xn, all_0_5_5) = all_71_0_112
% 84.51/44.29 | (274) aNaturalNumber0(all_0_5_5) = all_71_2_114
% 84.51/44.29 | (275) aNaturalNumber0(xn) = all_71_1_113
% 84.51/44.29 | (276) ~ (all_71_0_112 = 0) | ~ (all_71_1_113 = 0) | ~ (all_71_2_114 = 0)
% 84.51/44.29 |
% 84.51/44.29 +-Applying beta-rule and splitting (111), into two cases.
% 84.51/44.29 |-Branch one:
% 84.51/44.29 | (277) xk = xp
% 84.51/44.29 |
% 84.51/44.29 | Equations (277) can reduce 81 to:
% 84.51/44.29 | (259) $false
% 84.51/44.29 |
% 84.51/44.29 |-The branch is then unsatisfiable
% 84.51/44.29 |-Branch two:
% 84.51/44.29 | (81) ~ (xk = xp)
% 84.51/44.29 | (280) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xp, xk) = v2 & aNaturalNumber0(xk) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 84.51/44.29 |
% 84.51/44.29 | Instantiating (280) with all_76_0_115, all_76_1_116, all_76_2_117 yields:
% 84.51/44.29 | (281) sdtlseqdt0(xp, xk) = all_76_0_115 & aNaturalNumber0(xk) = all_76_2_117 & aNaturalNumber0(xp) = all_76_1_116 & ( ~ (all_76_0_115 = 0) | ~ (all_76_1_116 = 0) | ~ (all_76_2_117 = 0))
% 84.51/44.29 |
% 84.51/44.29 | Applying alpha-rule on (281) yields:
% 84.51/44.29 | (282) sdtlseqdt0(xp, xk) = all_76_0_115
% 84.51/44.29 | (283) aNaturalNumber0(xk) = all_76_2_117
% 84.51/44.29 | (284) aNaturalNumber0(xp) = all_76_1_116
% 84.51/44.29 | (285) ~ (all_76_0_115 = 0) | ~ (all_76_1_116 = 0) | ~ (all_76_2_117 = 0)
% 84.51/44.29 |
% 84.51/44.29 +-Applying beta-rule and splitting (143), into two cases.
% 84.51/44.29 |-Branch one:
% 84.51/44.29 | (258) xp = sz00
% 84.51/44.29 |
% 84.51/44.29 | Equations (258) can reduce 101 to:
% 84.51/44.29 | (259) $false
% 84.51/44.30 |
% 84.51/44.30 |-The branch is then unsatisfiable
% 84.51/44.30 |-Branch two:
% 84.51/44.30 | (101) ~ (xp = sz00)
% 84.51/44.30 | (289) xp = sz10 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xp) = 0 & aNaturalNumber0(v0) = 0)
% 84.51/44.30 |
% 84.51/44.30 +-Applying beta-rule and splitting (142), into two cases.
% 84.51/44.30 |-Branch one:
% 84.51/44.30 | (263) xr = sz00
% 84.51/44.30 |
% 84.51/44.30 | Equations (263) can reduce 100 to:
% 84.51/44.30 | (259) $false
% 84.51/44.30 |
% 84.51/44.30 |-The branch is then unsatisfiable
% 84.51/44.30 |-Branch two:
% 84.51/44.30 | (100) ~ (xr = sz00)
% 84.51/44.30 | (293) xr = sz10 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xr) = 0 & aNaturalNumber0(v0) = 0)
% 84.51/44.30 |
% 84.51/44.30 +-Applying beta-rule and splitting (289), into two cases.
% 84.51/44.30 |-Branch one:
% 84.51/44.30 | (294) xp = sz10
% 84.51/44.30 |
% 84.51/44.30 | Equations (294) can reduce 99 to:
% 84.51/44.30 | (259) $false
% 84.51/44.30 |
% 84.51/44.30 |-The branch is then unsatisfiable
% 84.51/44.30 |-Branch two:
% 84.51/44.30 | (99) ~ (xp = sz10)
% 84.51/44.30 | (297) ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xp) = 0 & aNaturalNumber0(v0) = 0)
% 84.51/44.30 |
% 84.51/44.30 | Instantiating (297) with all_88_0_118 yields:
% 84.51/44.30 | (298) isPrime0(all_88_0_118) = 0 & doDivides0(all_88_0_118, xp) = 0 & aNaturalNumber0(all_88_0_118) = 0
% 84.51/44.30 |
% 84.51/44.30 | Applying alpha-rule on (298) yields:
% 84.51/44.30 | (299) isPrime0(all_88_0_118) = 0
% 84.51/44.30 | (300) doDivides0(all_88_0_118, xp) = 0
% 84.51/44.30 | (301) aNaturalNumber0(all_88_0_118) = 0
% 84.51/44.30 |
% 84.51/44.30 +-Applying beta-rule and splitting (293), into two cases.
% 84.51/44.30 |-Branch one:
% 84.51/44.30 | (302) xr = sz10
% 84.51/44.30 |
% 84.51/44.30 | Equations (302) can reduce 98 to:
% 84.51/44.30 | (259) $false
% 84.51/44.30 |
% 84.51/44.30 |-The branch is then unsatisfiable
% 84.51/44.30 |-Branch two:
% 84.51/44.30 | (98) ~ (xr = sz10)
% 84.51/44.30 | (305) ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xr) = 0 & aNaturalNumber0(v0) = 0)
% 84.51/44.30 |
% 84.51/44.30 | Instantiating (305) with all_93_0_119 yields:
% 84.51/44.30 | (306) isPrime0(all_93_0_119) = 0 & doDivides0(all_93_0_119, xr) = 0 & aNaturalNumber0(all_93_0_119) = 0
% 84.51/44.30 |
% 84.51/44.30 | Applying alpha-rule on (306) yields:
% 84.51/44.30 | (307) isPrime0(all_93_0_119) = 0
% 84.51/44.30 | (308) doDivides0(all_93_0_119, xr) = 0
% 84.51/44.30 | (309) aNaturalNumber0(all_93_0_119) = 0
% 84.51/44.30 |
% 84.51/44.30 | Using (307) and (64) yields:
% 84.51/44.30 | (310) ~ (all_93_0_119 = sz10)
% 84.51/44.30 |
% 84.51/44.30 | Using (307) and (68) yields:
% 84.51/44.30 | (311) ~ (all_93_0_119 = sz00)
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (46) with xp, all_0_9_9, all_51_3_88, 0 and discharging atoms doDivides0(xp, all_0_9_9) = 0, yields:
% 84.51/44.30 | (312) all_51_3_88 = 0 | ~ (doDivides0(xp, all_0_9_9) = all_51_3_88)
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (10) with xn, xm, all_51_4_89, all_0_9_9 and discharging atoms sdtasdt0(xn, xm) = all_51_4_89, sdtasdt0(xn, xm) = all_0_9_9, yields:
% 84.51/44.30 | (313) all_51_4_89 = all_0_9_9
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with all_0_1_1, all_43_1_74, all_45_1_77 and discharging atoms aNaturalNumber0(all_0_1_1) = all_45_1_77, aNaturalNumber0(all_0_1_1) = all_43_1_74, yields:
% 84.51/44.30 | (314) all_45_1_77 = all_43_1_74
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with all_0_2_2, all_32_2_57, all_43_0_73 and discharging atoms aNaturalNumber0(all_0_2_2) = all_32_2_57, yields:
% 84.51/44.30 | (315) all_43_0_73 = all_32_2_57 | ~ (aNaturalNumber0(all_0_2_2) = all_43_0_73)
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with all_0_2_2, all_32_2_57, all_34_2_60 and discharging atoms aNaturalNumber0(all_0_2_2) = all_34_2_60, aNaturalNumber0(all_0_2_2) = all_32_2_57, yields:
% 84.51/44.30 | (316) all_34_2_60 = all_32_2_57
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with all_0_4_4, all_36_2_63, all_56_2_102 and discharging atoms aNaturalNumber0(all_0_4_4) = all_56_2_102, aNaturalNumber0(all_0_4_4) = all_36_2_63, yields:
% 84.51/44.30 | (317) all_56_2_102 = all_36_2_63
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with all_0_4_4, all_20_0_26, all_56_2_102 and discharging atoms aNaturalNumber0(all_0_4_4) = all_56_2_102, aNaturalNumber0(all_0_4_4) = all_20_0_26, yields:
% 84.51/44.30 | (318) all_56_2_102 = all_20_0_26
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with all_0_5_5, all_30_4_54, all_71_2_114 and discharging atoms aNaturalNumber0(all_0_5_5) = all_71_2_114, aNaturalNumber0(all_0_5_5) = all_30_4_54, yields:
% 84.51/44.30 | (319) all_71_2_114 = all_30_4_54
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with all_0_5_5, all_22_2_31, all_30_4_54 and discharging atoms aNaturalNumber0(all_0_5_5) = all_30_4_54, aNaturalNumber0(all_0_5_5) = all_22_2_31, yields:
% 84.51/44.30 | (320) all_30_4_54 = all_22_2_31
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with all_0_5_5, all_20_2_28, all_71_2_114 and discharging atoms aNaturalNumber0(all_0_5_5) = all_71_2_114, aNaturalNumber0(all_0_5_5) = all_20_2_28, yields:
% 84.51/44.30 | (321) all_71_2_114 = all_20_2_28
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with all_0_9_9, all_32_0_55, all_49_0_82 and discharging atoms aNaturalNumber0(all_0_9_9) = all_32_0_55, yields:
% 84.51/44.30 | (322) all_49_0_82 = all_32_0_55 | ~ (aNaturalNumber0(all_0_9_9) = all_49_0_82)
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with all_0_9_9, all_32_0_55, all_36_0_61 and discharging atoms aNaturalNumber0(all_0_9_9) = all_36_0_61, aNaturalNumber0(all_0_9_9) = all_32_0_55, yields:
% 84.51/44.30 | (323) all_36_0_61 = all_32_0_55
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with all_0_9_9, all_18_0_23, all_36_0_61 and discharging atoms aNaturalNumber0(all_0_9_9) = all_36_0_61, aNaturalNumber0(all_0_9_9) = all_18_0_23, yields:
% 84.51/44.30 | (324) all_36_0_61 = all_18_0_23
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with all_0_11_11, all_12_0_12, all_39_2_69 and discharging atoms aNaturalNumber0(all_0_11_11) = all_39_2_69, aNaturalNumber0(all_0_11_11) = all_12_0_12, yields:
% 84.51/44.30 | (325) all_39_2_69 = all_12_0_12
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xr, all_56_1_101, 0 and discharging atoms aNaturalNumber0(xr) = all_56_1_101, aNaturalNumber0(xr) = 0, yields:
% 84.51/44.30 | (326) all_56_1_101 = 0
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xr, all_36_1_62, all_56_1_101 and discharging atoms aNaturalNumber0(xr) = all_56_1_101, aNaturalNumber0(xr) = all_36_1_62, yields:
% 84.51/44.30 | (327) all_56_1_101 = all_36_1_62
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xr, all_34_1_59, all_36_1_62 and discharging atoms aNaturalNumber0(xr) = all_36_1_62, aNaturalNumber0(xr) = all_34_1_59, yields:
% 84.51/44.30 | (328) all_36_1_62 = all_34_1_59
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xr, all_32_1_56, all_36_1_62 and discharging atoms aNaturalNumber0(xr) = all_36_1_62, aNaturalNumber0(xr) = all_32_1_56, yields:
% 84.51/44.30 | (329) all_36_1_62 = all_32_1_56
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xr, all_30_2_52, all_32_1_56 and discharging atoms aNaturalNumber0(xr) = all_32_1_56, aNaturalNumber0(xr) = all_30_2_52, yields:
% 84.51/44.30 | (330) all_32_1_56 = all_30_2_52
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xk, all_49_1_83, all_32_0_55 and discharging atoms aNaturalNumber0(xk) = all_49_1_83, yields:
% 84.51/44.30 | (331) all_49_1_83 = all_32_0_55 | ~ (aNaturalNumber0(xk) = all_32_0_55)
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xk, all_49_1_83, all_76_2_117 and discharging atoms aNaturalNumber0(xk) = all_76_2_117, aNaturalNumber0(xk) = all_49_1_83, yields:
% 84.51/44.30 | (332) all_76_2_117 = all_49_1_83
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xk, all_41_1_71, all_76_2_117 and discharging atoms aNaturalNumber0(xk) = all_76_2_117, aNaturalNumber0(xk) = all_41_1_71, yields:
% 84.51/44.30 | (333) all_76_2_117 = all_41_1_71
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xp, all_76_1_116, 0 and discharging atoms aNaturalNumber0(xp) = all_76_1_116, aNaturalNumber0(xp) = 0, yields:
% 84.51/44.30 | (334) all_76_1_116 = 0
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xp, all_45_2_78, all_49_2_84 and discharging atoms aNaturalNumber0(xp) = all_49_2_84, aNaturalNumber0(xp) = all_45_2_78, yields:
% 84.51/44.30 | (335) all_49_2_84 = all_45_2_78
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xp, all_43_2_75, all_76_1_116 and discharging atoms aNaturalNumber0(xp) = all_76_1_116, aNaturalNumber0(xp) = all_43_2_75, yields:
% 84.51/44.30 | (336) all_76_1_116 = all_43_2_75
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xp, all_43_2_75, all_45_2_78 and discharging atoms aNaturalNumber0(xp) = all_45_2_78, aNaturalNumber0(xp) = all_43_2_75, yields:
% 84.51/44.30 | (337) all_45_2_78 = all_43_2_75
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xp, all_41_2_72, all_76_1_116 and discharging atoms aNaturalNumber0(xp) = all_76_1_116, aNaturalNumber0(xp) = all_41_2_72, yields:
% 84.51/44.30 | (338) all_76_1_116 = all_41_2_72
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xp, all_39_1_68, all_76_1_116 and discharging atoms aNaturalNumber0(xp) = all_76_1_116, aNaturalNumber0(xp) = all_39_1_68, yields:
% 84.51/44.30 | (339) all_76_1_116 = all_39_1_68
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xp, all_39_1_68, all_51_6_91 and discharging atoms aNaturalNumber0(xp) = all_51_6_91, aNaturalNumber0(xp) = all_39_1_68, yields:
% 84.51/44.30 | (340) all_51_6_91 = all_39_1_68
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xp, all_16_1_21, all_49_2_84 and discharging atoms aNaturalNumber0(xp) = all_49_2_84, aNaturalNumber0(xp) = all_16_1_21, yields:
% 84.51/44.30 | (341) all_49_2_84 = all_16_1_21
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xp, all_14_2_17, all_51_6_91 and discharging atoms aNaturalNumber0(xp) = all_51_6_91, aNaturalNumber0(xp) = all_14_2_17, yields:
% 84.51/44.30 | (342) all_51_6_91 = all_14_2_17
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xm, all_51_7_92, all_53_1_95 and discharging atoms aNaturalNumber0(xm) = all_53_1_95, aNaturalNumber0(xm) = all_51_7_92, yields:
% 84.51/44.30 | (343) all_53_1_95 = all_51_7_92
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xm, all_47_1_80, all_53_1_95 and discharging atoms aNaturalNumber0(xm) = all_53_1_95, aNaturalNumber0(xm) = all_47_1_80, yields:
% 84.51/44.30 | (344) all_53_1_95 = all_47_1_80
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xm, all_30_3_53, 0 and discharging atoms aNaturalNumber0(xm) = all_30_3_53, aNaturalNumber0(xm) = 0, yields:
% 84.51/44.30 | (345) all_30_3_53 = 0
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xm, all_22_1_30, all_30_3_53 and discharging atoms aNaturalNumber0(xm) = all_30_3_53, aNaturalNumber0(xm) = all_22_1_30, yields:
% 84.51/44.30 | (346) all_30_3_53 = all_22_1_30
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xm, all_20_1_27, all_22_1_30 and discharging atoms aNaturalNumber0(xm) = all_22_1_30, aNaturalNumber0(xm) = all_20_1_27, yields:
% 84.51/44.30 | (347) all_22_1_30 = all_20_1_27
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xm, all_18_1_24, all_51_7_92 and discharging atoms aNaturalNumber0(xm) = all_51_7_92, aNaturalNumber0(xm) = all_18_1_24, yields:
% 84.51/44.30 | (348) all_51_7_92 = all_18_1_24
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xm, all_18_1_24, all_20_1_27 and discharging atoms aNaturalNumber0(xm) = all_20_1_27, aNaturalNumber0(xm) = all_18_1_24, yields:
% 84.51/44.30 | (349) all_20_1_27 = all_18_1_24
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xm, all_14_3_18, all_51_7_92 and discharging atoms aNaturalNumber0(xm) = all_51_7_92, aNaturalNumber0(xm) = all_14_3_18, yields:
% 84.51/44.30 | (350) all_51_7_92 = all_14_3_18
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xm, all_12_1_13, all_51_7_92 and discharging atoms aNaturalNumber0(xm) = all_51_7_92, aNaturalNumber0(xm) = all_12_1_13, yields:
% 84.51/44.30 | (351) all_51_7_92 = all_12_1_13
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xn, all_53_2_96, all_71_1_113 and discharging atoms aNaturalNumber0(xn) = all_71_1_113, aNaturalNumber0(xn) = all_53_2_96, yields:
% 84.51/44.30 | (352) all_71_1_113 = all_53_2_96
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xn, all_51_8_93, all_53_2_96 and discharging atoms aNaturalNumber0(xn) = all_53_2_96, aNaturalNumber0(xn) = all_51_8_93, yields:
% 84.51/44.30 | (353) all_53_2_96 = all_51_8_93
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xn, all_47_2_81, all_71_1_113 and discharging atoms aNaturalNumber0(xn) = all_71_1_113, aNaturalNumber0(xn) = all_47_2_81, yields:
% 84.51/44.30 | (354) all_71_1_113 = all_47_2_81
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xn, all_18_2_25, 0 and discharging atoms aNaturalNumber0(xn) = all_18_2_25, aNaturalNumber0(xn) = 0, yields:
% 84.51/44.30 | (355) all_18_2_25 = 0
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xn, all_18_2_25, all_53_2_96 and discharging atoms aNaturalNumber0(xn) = all_53_2_96, aNaturalNumber0(xn) = all_18_2_25, yields:
% 84.51/44.30 | (356) all_53_2_96 = all_18_2_25
% 84.51/44.30 |
% 84.51/44.30 | Instantiating formula (74) with xn, all_14_4_19, all_18_2_25 and discharging atoms aNaturalNumber0(xn) = all_18_2_25, aNaturalNumber0(xn) = all_14_4_19, yields:
% 84.51/44.31 | (357) all_18_2_25 = all_14_4_19
% 84.51/44.31 |
% 84.51/44.31 | Instantiating formula (74) with xn, all_12_2_14, all_51_8_93 and discharging atoms aNaturalNumber0(xn) = all_51_8_93, aNaturalNumber0(xn) = all_12_2_14, yields:
% 84.51/44.31 | (358) all_51_8_93 = all_12_2_14
% 84.51/44.31 |
% 84.51/44.31 | Combining equations (336,338) yields a new equation:
% 84.51/44.31 | (359) all_43_2_75 = all_41_2_72
% 84.51/44.31 |
% 84.51/44.31 | Simplifying 359 yields:
% 84.51/44.31 | (360) all_43_2_75 = all_41_2_72
% 84.51/44.31 |
% 84.51/44.31 | Combining equations (334,338) yields a new equation:
% 84.51/44.31 | (361) all_41_2_72 = 0
% 84.51/44.31 |
% 84.51/44.31 | Combining equations (339,338) yields a new equation:
% 84.51/44.31 | (362) all_41_2_72 = all_39_1_68
% 84.51/44.31 |
% 84.51/44.31 | Combining equations (332,333) yields a new equation:
% 84.51/44.31 | (363) all_49_1_83 = all_41_1_71
% 84.51/44.31 |
% 84.51/44.31 | Simplifying 363 yields:
% 84.51/44.31 | (364) all_49_1_83 = all_41_1_71
% 84.51/44.31 |
% 84.51/44.31 | Combining equations (352,354) yields a new equation:
% 84.51/44.31 | (365) all_53_2_96 = all_47_2_81
% 84.51/44.31 |
% 84.51/44.31 | Simplifying 365 yields:
% 84.51/44.31 | (366) all_53_2_96 = all_47_2_81
% 84.51/44.31 |
% 84.51/44.31 | Combining equations (319,321) yields a new equation:
% 84.51/44.31 | (367) all_30_4_54 = all_20_2_28
% 84.51/44.31 |
% 84.51/44.31 | Simplifying 367 yields:
% 84.51/44.31 | (368) all_30_4_54 = all_20_2_28
% 84.51/44.31 |
% 84.51/44.31 | Combining equations (327,326) yields a new equation:
% 84.51/44.31 | (369) all_36_1_62 = 0
% 84.51/44.31 |
% 84.99/44.31 | Simplifying 369 yields:
% 84.99/44.31 | (370) all_36_1_62 = 0
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (317,318) yields a new equation:
% 84.99/44.31 | (371) all_36_2_63 = all_20_0_26
% 84.99/44.31 |
% 84.99/44.31 | Simplifying 371 yields:
% 84.99/44.31 | (372) all_36_2_63 = all_20_0_26
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (343,344) yields a new equation:
% 84.99/44.31 | (373) all_51_7_92 = all_47_1_80
% 84.99/44.31 |
% 84.99/44.31 | Simplifying 373 yields:
% 84.99/44.31 | (374) all_51_7_92 = all_47_1_80
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (356,366) yields a new equation:
% 84.99/44.31 | (375) all_47_2_81 = all_18_2_25
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (353,366) yields a new equation:
% 84.99/44.31 | (376) all_51_8_93 = all_47_2_81
% 84.99/44.31 |
% 84.99/44.31 | Simplifying 376 yields:
% 84.99/44.31 | (377) all_51_8_93 = all_47_2_81
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (340,342) yields a new equation:
% 84.99/44.31 | (378) all_39_1_68 = all_14_2_17
% 84.99/44.31 |
% 84.99/44.31 | Simplifying 378 yields:
% 84.99/44.31 | (379) all_39_1_68 = all_14_2_17
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (351,374) yields a new equation:
% 84.99/44.31 | (380) all_47_1_80 = all_12_1_13
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (348,374) yields a new equation:
% 84.99/44.31 | (381) all_47_1_80 = all_18_1_24
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (350,374) yields a new equation:
% 84.99/44.31 | (382) all_47_1_80 = all_14_3_18
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (377,358) yields a new equation:
% 84.99/44.31 | (383) all_47_2_81 = all_12_2_14
% 84.99/44.31 |
% 84.99/44.31 | Simplifying 383 yields:
% 84.99/44.31 | (384) all_47_2_81 = all_12_2_14
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (335,341) yields a new equation:
% 84.99/44.31 | (385) all_45_2_78 = all_16_1_21
% 84.99/44.31 |
% 84.99/44.31 | Simplifying 385 yields:
% 84.99/44.31 | (386) all_45_2_78 = all_16_1_21
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (380,382) yields a new equation:
% 84.99/44.31 | (387) all_14_3_18 = all_12_1_13
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (381,382) yields a new equation:
% 84.99/44.31 | (388) all_18_1_24 = all_14_3_18
% 84.99/44.31 |
% 84.99/44.31 | Simplifying 388 yields:
% 84.99/44.31 | (389) all_18_1_24 = all_14_3_18
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (375,384) yields a new equation:
% 84.99/44.31 | (390) all_18_2_25 = all_12_2_14
% 84.99/44.31 |
% 84.99/44.31 | Simplifying 390 yields:
% 84.99/44.31 | (391) all_18_2_25 = all_12_2_14
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (337,386) yields a new equation:
% 84.99/44.31 | (392) all_43_2_75 = all_16_1_21
% 84.99/44.31 |
% 84.99/44.31 | Simplifying 392 yields:
% 84.99/44.31 | (393) all_43_2_75 = all_16_1_21
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (360,393) yields a new equation:
% 84.99/44.31 | (394) all_41_2_72 = all_16_1_21
% 84.99/44.31 |
% 84.99/44.31 | Simplifying 394 yields:
% 84.99/44.31 | (395) all_41_2_72 = all_16_1_21
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (362,395) yields a new equation:
% 84.99/44.31 | (396) all_39_1_68 = all_16_1_21
% 84.99/44.31 |
% 84.99/44.31 | Simplifying 396 yields:
% 84.99/44.31 | (397) all_39_1_68 = all_16_1_21
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (361,395) yields a new equation:
% 84.99/44.31 | (398) all_16_1_21 = 0
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (397,379) yields a new equation:
% 84.99/44.31 | (399) all_16_1_21 = all_14_2_17
% 84.99/44.31 |
% 84.99/44.31 | Simplifying 399 yields:
% 84.99/44.31 | (400) all_16_1_21 = all_14_2_17
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (323,324) yields a new equation:
% 84.99/44.31 | (401) all_32_0_55 = all_18_0_23
% 84.99/44.31 |
% 84.99/44.31 | Simplifying 401 yields:
% 84.99/44.31 | (402) all_32_0_55 = all_18_0_23
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (329,328) yields a new equation:
% 84.99/44.31 | (403) all_34_1_59 = all_32_1_56
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (370,328) yields a new equation:
% 84.99/44.31 | (404) all_34_1_59 = 0
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (403,404) yields a new equation:
% 84.99/44.31 | (405) all_32_1_56 = 0
% 84.99/44.31 |
% 84.99/44.31 | Simplifying 405 yields:
% 84.99/44.31 | (406) all_32_1_56 = 0
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (330,406) yields a new equation:
% 84.99/44.31 | (407) all_30_2_52 = 0
% 84.99/44.31 |
% 84.99/44.31 | Simplifying 407 yields:
% 84.99/44.31 | (408) all_30_2_52 = 0
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (346,345) yields a new equation:
% 84.99/44.31 | (409) all_22_1_30 = 0
% 84.99/44.31 |
% 84.99/44.31 | Simplifying 409 yields:
% 84.99/44.31 | (410) all_22_1_30 = 0
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (320,368) yields a new equation:
% 84.99/44.31 | (411) all_22_2_31 = all_20_2_28
% 84.99/44.31 |
% 84.99/44.31 | Simplifying 411 yields:
% 84.99/44.31 | (412) all_22_2_31 = all_20_2_28
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (347,410) yields a new equation:
% 84.99/44.31 | (413) all_20_1_27 = 0
% 84.99/44.31 |
% 84.99/44.31 | Simplifying 413 yields:
% 84.99/44.31 | (414) all_20_1_27 = 0
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (349,414) yields a new equation:
% 84.99/44.31 | (415) all_18_1_24 = 0
% 84.99/44.31 |
% 84.99/44.31 | Simplifying 415 yields:
% 84.99/44.31 | (416) all_18_1_24 = 0
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (389,416) yields a new equation:
% 84.99/44.31 | (417) all_14_3_18 = 0
% 84.99/44.31 |
% 84.99/44.31 | Simplifying 417 yields:
% 84.99/44.31 | (418) all_14_3_18 = 0
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (355,357) yields a new equation:
% 84.99/44.31 | (419) all_14_4_19 = 0
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (391,357) yields a new equation:
% 84.99/44.31 | (420) all_14_4_19 = all_12_2_14
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (398,400) yields a new equation:
% 84.99/44.31 | (421) all_14_2_17 = 0
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (387,418) yields a new equation:
% 84.99/44.31 | (422) all_12_1_13 = 0
% 84.99/44.31 |
% 84.99/44.31 | Simplifying 422 yields:
% 84.99/44.31 | (423) all_12_1_13 = 0
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (419,420) yields a new equation:
% 84.99/44.31 | (424) all_12_2_14 = 0
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (424,420) yields a new equation:
% 84.99/44.31 | (419) all_14_4_19 = 0
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (421,400) yields a new equation:
% 84.99/44.31 | (398) all_16_1_21 = 0
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (419,357) yields a new equation:
% 84.99/44.31 | (355) all_18_2_25 = 0
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (421,379) yields a new equation:
% 84.99/44.31 | (428) all_39_1_68 = 0
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (398,395) yields a new equation:
% 84.99/44.31 | (361) all_41_2_72 = 0
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (398,393) yields a new equation:
% 84.99/44.31 | (430) all_43_2_75 = 0
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (424,384) yields a new equation:
% 84.99/44.31 | (431) all_47_2_81 = 0
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (418,382) yields a new equation:
% 84.99/44.31 | (432) all_47_1_80 = 0
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (431,366) yields a new equation:
% 84.99/44.31 | (433) all_53_2_96 = 0
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (432,344) yields a new equation:
% 84.99/44.31 | (434) all_53_1_95 = 0
% 84.99/44.31 |
% 84.99/44.31 | Combining equations (361,338) yields a new equation:
% 84.99/44.31 | (334) all_76_1_116 = 0
% 84.99/44.31 |
% 84.99/44.31 | From (313) and (244) follows:
% 84.99/44.32 | (436) doDivides0(xp, all_0_9_9) = all_51_3_88
% 84.99/44.32 |
% 84.99/44.32 | From (313) and (238) follows:
% 84.99/44.32 | (8) sdtasdt0(xn, xm) = all_0_9_9
% 84.99/44.32 |
% 84.99/44.32 | From (314) and (222) follows:
% 84.99/44.32 | (217) aNaturalNumber0(all_0_1_1) = all_43_1_74
% 84.99/44.32 |
% 84.99/44.32 | From (372) and (200) follows:
% 84.99/44.32 | (168) aNaturalNumber0(all_0_4_4) = all_20_0_26
% 84.99/44.32 |
% 84.99/44.32 | From (412) and (174) follows:
% 84.99/44.32 | (169) aNaturalNumber0(all_0_5_5) = all_20_2_28
% 84.99/44.32 |
% 84.99/44.32 | From (402) and (191) follows:
% 84.99/44.32 | (163) aNaturalNumber0(all_0_9_9) = all_18_0_23
% 84.99/44.32 |
% 84.99/44.32 | From (408) and (186) follows:
% 84.99/44.32 | (18) aNaturalNumber0(xr) = 0
% 84.99/44.32 |
% 84.99/44.32 | From (421) and (152) follows:
% 84.99/44.32 | (39) aNaturalNumber0(xp) = 0
% 84.99/44.32 |
% 84.99/44.32 | From (423) and (147) follows:
% 84.99/44.32 | (91) aNaturalNumber0(xm) = 0
% 84.99/44.32 |
% 84.99/44.32 | From (424) and (148) follows:
% 84.99/44.32 | (97) aNaturalNumber0(xn) = 0
% 84.99/44.32 |
% 84.99/44.32 +-Applying beta-rule and splitting (181), into two cases.
% 84.99/44.32 |-Branch one:
% 84.99/44.32 | (446) all_29_0_47 = xn & all_29_1_48 = 0 & sdtasdt0(xr, all_29_2_49) = xn & aNaturalNumber0(all_29_2_49) = 0
% 84.99/44.32 |
% 84.99/44.32 | Applying alpha-rule on (446) yields:
% 84.99/44.32 | (447) all_29_0_47 = xn
% 84.99/44.32 | (448) all_29_1_48 = 0
% 84.99/44.32 | (449) sdtasdt0(xr, all_29_2_49) = xn
% 84.99/44.32 | (450) aNaturalNumber0(all_29_2_49) = 0
% 84.99/44.32 |
% 84.99/44.32 +-Applying beta-rule and splitting (312), into two cases.
% 84.99/44.32 |-Branch one:
% 84.99/44.32 | (451) ~ (doDivides0(xp, all_0_9_9) = all_51_3_88)
% 84.99/44.32 |
% 84.99/44.32 | Using (436) and (451) yields:
% 84.99/44.32 | (452) $false
% 84.99/44.32 |
% 84.99/44.32 |-The branch is then unsatisfiable
% 84.99/44.32 |-Branch two:
% 84.99/44.32 | (436) doDivides0(xp, all_0_9_9) = all_51_3_88
% 84.99/44.32 | (454) all_51_3_88 = 0
% 84.99/44.32 |
% 84.99/44.32 | From (454) and (436) follows:
% 84.99/44.32 | (6) doDivides0(xp, all_0_9_9) = 0
% 84.99/44.32 |
% 84.99/44.32 +-Applying beta-rule and splitting (251), into two cases.
% 84.99/44.32 |-Branch one:
% 84.99/44.32 | (456) all_55_0_97 = xp & all_55_1_98 = 0 & sdtpldt0(xn, all_55_2_99) = xp & aNaturalNumber0(all_55_2_99) = 0
% 84.99/44.32 |
% 84.99/44.32 | Applying alpha-rule on (456) yields:
% 84.99/44.32 | (457) all_55_0_97 = xp
% 84.99/44.32 | (458) all_55_1_98 = 0
% 84.99/44.32 | (459) sdtpldt0(xn, all_55_2_99) = xp
% 84.99/44.32 | (460) aNaturalNumber0(all_55_2_99) = 0
% 84.99/44.32 |
% 84.99/44.32 +-Applying beta-rule and splitting (154), into two cases.
% 84.99/44.32 |-Branch one:
% 84.99/44.32 | (461) ~ (all_14_2_17 = 0)
% 84.99/44.32 |
% 84.99/44.32 | Equations (421) can reduce 461 to:
% 84.99/44.32 | (259) $false
% 84.99/44.32 |
% 84.99/44.32 |-The branch is then unsatisfiable
% 84.99/44.32 |-Branch two:
% 84.99/44.32 | (421) all_14_2_17 = 0
% 84.99/44.32 | (464) ~ (all_14_3_18 = 0) | ~ (all_14_4_19 = 0) | all_14_0_15 = all_0_10_10
% 84.99/44.32 |
% 84.99/44.32 +-Applying beta-rule and splitting (464), into two cases.
% 84.99/44.32 |-Branch one:
% 84.99/44.32 | (465) ~ (all_14_3_18 = 0)
% 84.99/44.32 |
% 84.99/44.32 | Equations (418) can reduce 465 to:
% 84.99/44.32 | (259) $false
% 84.99/44.32 |
% 84.99/44.32 |-The branch is then unsatisfiable
% 84.99/44.32 |-Branch two:
% 84.99/44.32 | (418) all_14_3_18 = 0
% 84.99/44.32 | (468) ~ (all_14_4_19 = 0) | all_14_0_15 = all_0_10_10
% 84.99/44.32 |
% 84.99/44.32 +-Applying beta-rule and splitting (468), into two cases.
% 84.99/44.32 |-Branch one:
% 84.99/44.32 | (469) ~ (all_14_4_19 = 0)
% 84.99/44.32 |
% 84.99/44.32 | Equations (419) can reduce 469 to:
% 84.99/44.32 | (259) $false
% 84.99/44.32 |
% 84.99/44.32 |-The branch is then unsatisfiable
% 84.99/44.32 |-Branch two:
% 84.99/44.32 | (419) all_14_4_19 = 0
% 84.99/44.32 | (472) all_14_0_15 = all_0_10_10
% 84.99/44.32 |
% 84.99/44.32 | From (472) and (155) follows:
% 84.99/44.32 | (473) sdtpldt0(xn, all_14_1_16) = all_0_10_10
% 84.99/44.32 |
% 84.99/44.32 +-Applying beta-rule and splitting (229), into two cases.
% 84.99/44.32 |-Branch one:
% 84.99/44.32 | (474) ~ (all_47_1_80 = 0)
% 84.99/44.32 |
% 84.99/44.32 | Equations (432) can reduce 474 to:
% 84.99/44.32 | (259) $false
% 84.99/44.32 |
% 84.99/44.32 |-The branch is then unsatisfiable
% 84.99/44.32 |-Branch two:
% 84.99/44.32 | (432) all_47_1_80 = 0
% 84.99/44.32 | (477) ~ (all_47_2_81 = 0) | all_47_0_79 = all_0_9_9
% 84.99/44.32 |
% 84.99/44.32 +-Applying beta-rule and splitting (477), into two cases.
% 84.99/44.32 |-Branch one:
% 84.99/44.32 | (478) ~ (all_47_2_81 = 0)
% 84.99/44.32 |
% 84.99/44.32 | Equations (431) can reduce 478 to:
% 84.99/44.32 | (259) $false
% 84.99/44.32 |
% 84.99/44.32 |-The branch is then unsatisfiable
% 84.99/44.32 |-Branch two:
% 84.99/44.32 | (431) all_47_2_81 = 0
% 84.99/44.32 | (481) all_47_0_79 = all_0_9_9
% 84.99/44.32 |
% 84.99/44.32 | From (481) and (226) follows:
% 84.99/44.32 | (482) sdtasdt0(xm, xn) = all_0_9_9
% 84.99/44.32 |
% 84.99/44.32 +-Applying beta-rule and splitting (166), into two cases.
% 84.99/44.32 |-Branch one:
% 84.99/44.32 | (483) ~ (all_18_1_24 = 0)
% 84.99/44.32 |
% 84.99/44.32 | Equations (416) can reduce 483 to:
% 84.99/44.32 | (259) $false
% 84.99/44.32 |
% 84.99/44.32 |-The branch is then unsatisfiable
% 84.99/44.32 |-Branch two:
% 84.99/44.32 | (416) all_18_1_24 = 0
% 84.99/44.32 | (486) ~ (all_18_2_25 = 0) | all_18_0_23 = 0
% 84.99/44.32 |
% 84.99/44.32 +-Applying beta-rule and splitting (486), into two cases.
% 84.99/44.32 |-Branch one:
% 84.99/44.32 | (487) ~ (all_18_2_25 = 0)
% 84.99/44.32 |
% 84.99/44.32 | Equations (355) can reduce 487 to:
% 84.99/44.32 | (259) $false
% 84.99/44.32 |
% 84.99/44.32 |-The branch is then unsatisfiable
% 84.99/44.32 |-Branch two:
% 84.99/44.32 | (355) all_18_2_25 = 0
% 84.99/44.32 | (490) all_18_0_23 = 0
% 84.99/44.32 |
% 84.99/44.32 | Combining equations (490,402) yields a new equation:
% 84.99/44.32 | (491) all_32_0_55 = 0
% 84.99/44.32 |
% 84.99/44.32 | From (490) and (163) follows:
% 84.99/44.32 | (492) aNaturalNumber0(all_0_9_9) = 0
% 84.99/44.32 |
% 84.99/44.32 +-Applying beta-rule and splitting (204), into two cases.
% 84.99/44.32 |-Branch one:
% 84.99/44.32 | (493) all_38_0_64 = all_0_9_9 & all_38_1_65 = 0 & sdtasdt0(xr, all_38_2_66) = all_0_9_9 & aNaturalNumber0(all_38_2_66) = 0
% 84.99/44.32 |
% 84.99/44.32 | Applying alpha-rule on (493) yields:
% 84.99/44.32 | (494) all_38_0_64 = all_0_9_9
% 84.99/44.32 | (495) all_38_1_65 = 0
% 84.99/44.32 | (496) sdtasdt0(xr, all_38_2_66) = all_0_9_9
% 84.99/44.32 | (497) aNaturalNumber0(all_38_2_66) = 0
% 84.99/44.32 |
% 84.99/44.32 +-Applying beta-rule and splitting (257), into two cases.
% 84.99/44.32 |-Branch one:
% 84.99/44.32 | (498) all_58_0_103 = xp & all_58_1_104 = 0 & sdtpldt0(xm, all_58_2_105) = xp & aNaturalNumber0(all_58_2_105) = 0
% 84.99/44.32 |
% 84.99/44.32 | Applying alpha-rule on (498) yields:
% 84.99/44.32 | (499) all_58_0_103 = xp
% 84.99/44.32 | (500) all_58_1_104 = 0
% 84.99/44.32 | (501) sdtpldt0(xm, all_58_2_105) = xp
% 84.99/44.32 | (502) aNaturalNumber0(all_58_2_105) = 0
% 84.99/44.32 |
% 84.99/44.32 +-Applying beta-rule and splitting (127), into two cases.
% 84.99/44.32 |-Branch one:
% 84.99/44.32 | (258) xp = sz00
% 84.99/44.32 |
% 84.99/44.32 | Equations (258) can reduce 101 to:
% 84.99/44.32 | (259) $false
% 84.99/44.32 |
% 84.99/44.32 |-The branch is then unsatisfiable
% 84.99/44.32 |-Branch two:
% 84.99/44.32 | (101) ~ (xp = sz00)
% 84.99/44.32 | (506) all_0_3_3 = all_0_9_9 | ? [v0] : ? [v1] : ? [v2] : (doDivides0(xp, all_0_9_9) = v2 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 84.99/44.32 |
% 84.99/44.32 +-Applying beta-rule and splitting (180), into two cases.
% 84.99/44.32 |-Branch one:
% 84.99/44.32 | (507) all_28_0_44 = all_0_9_9 & all_28_1_45 = 0 & sdtasdt0(xp, all_28_2_46) = all_0_9_9 & aNaturalNumber0(all_28_2_46) = 0
% 84.99/44.32 |
% 84.99/44.32 | Applying alpha-rule on (507) yields:
% 84.99/44.32 | (508) all_28_0_44 = all_0_9_9
% 84.99/44.32 | (509) all_28_1_45 = 0
% 84.99/44.32 | (510) sdtasdt0(xp, all_28_2_46) = all_0_9_9
% 84.99/44.32 | (511) aNaturalNumber0(all_28_2_46) = 0
% 84.99/44.32 |
% 84.99/44.32 +-Applying beta-rule and splitting (506), into two cases.
% 84.99/44.32 |-Branch one:
% 84.99/44.32 | (512) all_0_3_3 = all_0_9_9
% 84.99/44.32 |
% 84.99/44.32 | From (512) and (4) follows:
% 84.99/44.32 | (513) sdtsldt0(all_0_9_9, xr) = all_0_2_2
% 84.99/44.32 |
% 84.99/44.32 | From (512) and (94) follows:
% 84.99/44.32 | (514) sdtasdt0(xp, xk) = all_0_9_9
% 84.99/44.32 |
% 84.99/44.32 | From (512) and (231) follows:
% 84.99/44.32 | (515) aNaturalNumber0(all_0_9_9) = all_49_0_82
% 84.99/44.32 |
% 84.99/44.32 +-Applying beta-rule and splitting (322), into two cases.
% 84.99/44.32 |-Branch one:
% 84.99/44.32 | (516) ~ (aNaturalNumber0(all_0_9_9) = all_49_0_82)
% 84.99/44.32 |
% 84.99/44.32 | Using (515) and (516) yields:
% 84.99/44.32 | (452) $false
% 84.99/44.32 |
% 84.99/44.32 |-The branch is then unsatisfiable
% 84.99/44.32 |-Branch two:
% 84.99/44.32 | (515) aNaturalNumber0(all_0_9_9) = all_49_0_82
% 84.99/44.32 | (519) all_49_0_82 = all_32_0_55
% 84.99/44.32 |
% 84.99/44.32 | Combining equations (491,519) yields a new equation:
% 84.99/44.32 | (520) all_49_0_82 = 0
% 84.99/44.32 |
% 84.99/44.32 | From (520) and (515) follows:
% 84.99/44.32 | (492) aNaturalNumber0(all_0_9_9) = 0
% 84.99/44.33 |
% 84.99/44.33 +-Applying beta-rule and splitting (262), into two cases.
% 84.99/44.33 |-Branch one:
% 84.99/44.33 | (522) all_63_2_108 = 0 & aNaturalNumber0(xk) = 0
% 84.99/44.33 |
% 84.99/44.33 | Applying alpha-rule on (522) yields:
% 84.99/44.33 | (523) all_63_2_108 = 0
% 84.99/44.33 | (524) aNaturalNumber0(xk) = 0
% 84.99/44.33 |
% 84.99/44.33 +-Applying beta-rule and splitting (331), into two cases.
% 84.99/44.33 |-Branch one:
% 84.99/44.33 | (525) ~ (aNaturalNumber0(xk) = all_32_0_55)
% 84.99/44.33 |
% 84.99/44.33 | From (491) and (525) follows:
% 84.99/44.33 | (526) ~ (aNaturalNumber0(xk) = 0)
% 84.99/44.33 |
% 84.99/44.33 | Using (524) and (526) yields:
% 84.99/44.33 | (452) $false
% 84.99/44.33 |
% 84.99/44.33 |-The branch is then unsatisfiable
% 84.99/44.33 |-Branch two:
% 84.99/44.33 | (528) aNaturalNumber0(xk) = all_32_0_55
% 84.99/44.33 | (529) all_49_1_83 = all_32_0_55
% 84.99/44.33 |
% 84.99/44.33 | Combining equations (529,364) yields a new equation:
% 84.99/44.33 | (530) all_41_1_71 = all_32_0_55
% 84.99/44.33 |
% 84.99/44.33 | Combining equations (491,530) yields a new equation:
% 84.99/44.33 | (531) all_41_1_71 = 0
% 84.99/44.33 |
% 84.99/44.33 | Combining equations (531,333) yields a new equation:
% 84.99/44.33 | (532) all_76_2_117 = 0
% 84.99/44.33 |
% 84.99/44.33 | From (491) and (528) follows:
% 84.99/44.33 | (524) aNaturalNumber0(xk) = 0
% 84.99/44.33 |
% 84.99/44.33 +-Applying beta-rule and splitting (129), into two cases.
% 84.99/44.33 |-Branch one:
% 84.99/44.33 | (534) ~ (sdtasdt0(xp, xk) = sz00)
% 84.99/44.33 |
% 84.99/44.33 +-Applying beta-rule and splitting (178), into two cases.
% 84.99/44.33 |-Branch one:
% 84.99/44.33 | (535) all_25_0_35 = xk & all_25_1_36 = 0 & sdtpldt0(xr, all_25_2_37) = xk & aNaturalNumber0(all_25_2_37) = 0
% 84.99/44.33 |
% 84.99/44.33 | Applying alpha-rule on (535) yields:
% 84.99/44.33 | (536) all_25_0_35 = xk
% 84.99/44.33 | (537) all_25_1_36 = 0
% 84.99/44.33 | (538) sdtpldt0(xr, all_25_2_37) = xk
% 84.99/44.33 | (539) aNaturalNumber0(all_25_2_37) = 0
% 84.99/44.33 |
% 84.99/44.33 +-Applying beta-rule and splitting (214), into two cases.
% 84.99/44.33 |-Branch one:
% 84.99/44.33 | (540) ~ (all_41_1_71 = 0)
% 84.99/44.33 |
% 84.99/44.33 | Equations (531) can reduce 540 to:
% 84.99/44.33 | (259) $false
% 84.99/44.33 |
% 84.99/44.33 |-The branch is then unsatisfiable
% 84.99/44.33 |-Branch two:
% 84.99/44.33 | (531) all_41_1_71 = 0
% 84.99/44.33 | (543) ~ (all_41_2_72 = 0) | all_41_0_70 = all_0_3_3
% 84.99/44.33 |
% 84.99/44.33 +-Applying beta-rule and splitting (543), into two cases.
% 84.99/44.33 |-Branch one:
% 84.99/44.33 | (544) ~ (all_41_2_72 = 0)
% 84.99/44.33 |
% 84.99/44.33 | Equations (361) can reduce 544 to:
% 84.99/44.33 | (259) $false
% 84.99/44.33 |
% 84.99/44.33 |-The branch is then unsatisfiable
% 84.99/44.33 |-Branch two:
% 84.99/44.33 | (361) all_41_2_72 = 0
% 84.99/44.33 | (547) all_41_0_70 = all_0_3_3
% 84.99/44.33 |
% 84.99/44.33 | Combining equations (512,547) yields a new equation:
% 84.99/44.33 | (548) all_41_0_70 = all_0_9_9
% 84.99/44.33 |
% 84.99/44.33 | From (548) and (211) follows:
% 84.99/44.33 | (549) sdtasdt0(xk, xp) = all_0_9_9
% 84.99/44.33 |
% 84.99/44.33 +-Applying beta-rule and splitting (267), into two cases.
% 84.99/44.33 |-Branch one:
% 84.99/44.33 | (550) doDivides0(xr, xk) = all_67_0_109 & aNaturalNumber0(xr) = all_67_2_111 & aNaturalNumber0(xk) = all_67_1_110 & ( ~ (all_67_0_109 = 0) | ~ (all_67_1_110 = 0) | ~ (all_67_2_111 = 0))
% 84.99/44.33 |
% 84.99/44.33 | Applying alpha-rule on (550) yields:
% 84.99/44.33 | (551) doDivides0(xr, xk) = all_67_0_109
% 84.99/44.33 | (552) aNaturalNumber0(xr) = all_67_2_111
% 84.99/44.33 | (553) aNaturalNumber0(xk) = all_67_1_110
% 84.99/44.33 | (554) ~ (all_67_0_109 = 0) | ~ (all_67_1_110 = 0) | ~ (all_67_2_111 = 0)
% 84.99/44.33 |
% 84.99/44.33 | Instantiating formula (46) with xr, xk, all_67_0_109, 0 and discharging atoms doDivides0(xr, xk) = all_67_0_109, doDivides0(xr, xk) = 0, yields:
% 84.99/44.33 | (555) all_67_0_109 = 0
% 84.99/44.33 |
% 84.99/44.33 | Instantiating formula (74) with xr, all_67_2_111, 0 and discharging atoms aNaturalNumber0(xr) = all_67_2_111, aNaturalNumber0(xr) = 0, yields:
% 84.99/44.33 | (556) all_67_2_111 = 0
% 84.99/44.33 |
% 84.99/44.33 | Instantiating formula (74) with xk, all_67_1_110, 0 and discharging atoms aNaturalNumber0(xk) = all_67_1_110, aNaturalNumber0(xk) = 0, yields:
% 84.99/44.33 | (557) all_67_1_110 = 0
% 84.99/44.33 |
% 84.99/44.33 +-Applying beta-rule and splitting (554), into two cases.
% 84.99/44.33 |-Branch one:
% 84.99/44.33 | (558) ~ (all_67_0_109 = 0)
% 84.99/44.33 |
% 84.99/44.33 | Equations (555) can reduce 558 to:
% 84.99/44.33 | (259) $false
% 84.99/44.33 |
% 84.99/44.33 |-The branch is then unsatisfiable
% 84.99/44.33 |-Branch two:
% 84.99/44.33 | (555) all_67_0_109 = 0
% 84.99/44.33 | (561) ~ (all_67_1_110 = 0) | ~ (all_67_2_111 = 0)
% 84.99/44.33 |
% 84.99/44.33 +-Applying beta-rule and splitting (561), into two cases.
% 84.99/44.33 |-Branch one:
% 84.99/44.33 | (562) ~ (all_67_1_110 = 0)
% 84.99/44.33 |
% 84.99/44.33 | Equations (557) can reduce 562 to:
% 84.99/44.33 | (259) $false
% 84.99/44.33 |
% 84.99/44.33 |-The branch is then unsatisfiable
% 84.99/44.33 |-Branch two:
% 84.99/44.33 | (557) all_67_1_110 = 0
% 84.99/44.33 | (565) ~ (all_67_2_111 = 0)
% 84.99/44.33 |
% 84.99/44.33 | Equations (556) can reduce 565 to:
% 84.99/44.33 | (259) $false
% 84.99/44.33 |
% 84.99/44.33 |-The branch is then unsatisfiable
% 84.99/44.33 |-Branch two:
% 84.99/44.33 | (567) sdtasdt0(xp, all_0_1_1) = all_67_1_110 & aNaturalNumber0(xp) = all_67_2_111 & ( ~ (all_67_2_111 = 0) | all_67_1_110 = all_0_2_2)
% 84.99/44.33 |
% 84.99/44.33 | Applying alpha-rule on (567) yields:
% 84.99/44.33 | (568) sdtasdt0(xp, all_0_1_1) = all_67_1_110
% 84.99/44.33 | (569) aNaturalNumber0(xp) = all_67_2_111
% 84.99/44.33 | (570) ~ (all_67_2_111 = 0) | all_67_1_110 = all_0_2_2
% 84.99/44.33 |
% 84.99/44.33 +-Applying beta-rule and splitting (250), into two cases.
% 84.99/44.33 |-Branch one:
% 84.99/44.33 | (571) ~ (all_53_1_95 = 0)
% 84.99/44.33 |
% 84.99/44.33 | Equations (434) can reduce 571 to:
% 84.99/44.33 | (259) $false
% 84.99/44.33 |
% 84.99/44.33 |-The branch is then unsatisfiable
% 84.99/44.33 |-Branch two:
% 84.99/44.33 | (434) all_53_1_95 = 0
% 84.99/44.33 | (574) ~ (all_53_2_96 = 0) | all_53_0_94 = all_0_11_11
% 84.99/44.33 |
% 84.99/44.33 +-Applying beta-rule and splitting (149), into two cases.
% 84.99/44.33 |-Branch one:
% 84.99/44.33 | (575) ~ (all_12_1_13 = 0)
% 84.99/44.33 |
% 84.99/44.33 | Equations (423) can reduce 575 to:
% 84.99/44.33 | (259) $false
% 84.99/44.33 |
% 84.99/44.33 |-The branch is then unsatisfiable
% 84.99/44.33 |-Branch two:
% 84.99/44.33 | (423) all_12_1_13 = 0
% 84.99/44.33 | (578) ~ (all_12_2_14 = 0) | all_12_0_12 = 0
% 84.99/44.33 |
% 84.99/44.33 +-Applying beta-rule and splitting (578), into two cases.
% 84.99/44.33 |-Branch one:
% 84.99/44.33 | (579) ~ (all_12_2_14 = 0)
% 84.99/44.33 |
% 84.99/44.33 | Equations (424) can reduce 579 to:
% 84.99/44.33 | (259) $false
% 84.99/44.33 |
% 84.99/44.33 |-The branch is then unsatisfiable
% 84.99/44.33 |-Branch two:
% 84.99/44.33 | (424) all_12_2_14 = 0
% 84.99/44.33 | (582) all_12_0_12 = 0
% 84.99/44.33 |
% 84.99/44.33 | Combining equations (582,325) yields a new equation:
% 84.99/44.33 | (583) all_39_2_69 = 0
% 84.99/44.33 |
% 84.99/44.33 +-Applying beta-rule and splitting (574), into two cases.
% 84.99/44.33 |-Branch one:
% 84.99/44.33 | (584) ~ (all_53_2_96 = 0)
% 84.99/44.33 |
% 84.99/44.33 | Equations (433) can reduce 584 to:
% 84.99/44.33 | (259) $false
% 84.99/44.33 |
% 84.99/44.33 |-The branch is then unsatisfiable
% 84.99/44.33 |-Branch two:
% 84.99/44.33 | (433) all_53_2_96 = 0
% 84.99/44.33 | (587) all_53_0_94 = all_0_11_11
% 84.99/44.33 |
% 84.99/44.33 | From (587) and (247) follows:
% 84.99/44.33 | (588) sdtpldt0(xm, xn) = all_0_11_11
% 84.99/44.33 |
% 84.99/44.33 +-Applying beta-rule and splitting (285), into two cases.
% 84.99/44.33 |-Branch one:
% 84.99/44.33 | (589) ~ (all_76_0_115 = 0)
% 84.99/44.33 |
% 84.99/44.33 +-Applying beta-rule and splitting (179), into two cases.
% 84.99/44.33 |-Branch one:
% 84.99/44.33 | (590) all_27_0_41 = xk & all_27_1_42 = 0 & sdtasdt0(xr, all_27_2_43) = xk & aNaturalNumber0(all_27_2_43) = 0
% 84.99/44.33 |
% 84.99/44.33 | Applying alpha-rule on (590) yields:
% 84.99/44.33 | (591) all_27_0_41 = xk
% 84.99/44.33 | (592) all_27_1_42 = 0
% 84.99/44.33 | (593) sdtasdt0(xr, all_27_2_43) = xk
% 84.99/44.33 | (594) aNaturalNumber0(all_27_2_43) = 0
% 84.99/44.33 |
% 84.99/44.33 +-Applying beta-rule and splitting (209), into two cases.
% 84.99/44.33 |-Branch one:
% 84.99/44.33 | (595) ~ (all_39_1_68 = 0)
% 84.99/44.33 |
% 84.99/44.33 | Equations (428) can reduce 595 to:
% 84.99/44.33 | (259) $false
% 84.99/44.33 |
% 84.99/44.33 |-The branch is then unsatisfiable
% 84.99/44.33 |-Branch two:
% 84.99/44.33 | (428) all_39_1_68 = 0
% 84.99/44.33 | (598) ~ (all_39_2_69 = 0) | all_39_0_67 = all_0_10_10
% 84.99/44.33 |
% 84.99/44.33 +-Applying beta-rule and splitting (598), into two cases.
% 84.99/44.33 |-Branch one:
% 84.99/44.33 | (599) ~ (all_39_2_69 = 0)
% 84.99/44.33 |
% 84.99/44.33 | Equations (583) can reduce 599 to:
% 84.99/44.33 | (259) $false
% 84.99/44.33 |
% 84.99/44.33 |-The branch is then unsatisfiable
% 84.99/44.33 |-Branch two:
% 84.99/44.33 | (583) all_39_2_69 = 0
% 84.99/44.33 | (602) all_39_0_67 = all_0_10_10
% 84.99/44.33 |
% 84.99/44.33 | From (602) and (206) follows:
% 84.99/44.33 | (603) sdtpldt0(xp, all_0_11_11) = all_0_10_10
% 84.99/44.33 |
% 84.99/44.33 | Instantiating formula (10) with xp, all_0_1_1, all_67_1_110, all_0_0_0 and discharging atoms sdtasdt0(xp, all_0_1_1) = all_67_1_110, sdtasdt0(xp, all_0_1_1) = all_0_0_0, yields:
% 84.99/44.34 | (604) all_67_1_110 = all_0_0_0
% 84.99/44.34 |
% 84.99/44.34 | Instantiating formula (74) with xp, all_67_2_111, 0 and discharging atoms aNaturalNumber0(xp) = all_67_2_111, aNaturalNumber0(xp) = 0, yields:
% 84.99/44.34 | (556) all_67_2_111 = 0
% 84.99/44.34 |
% 84.99/44.34 | Using (514) and (534) yields:
% 84.99/44.34 | (606) ~ (all_0_9_9 = sz00)
% 84.99/44.34 |
% 84.99/44.34 | From (604) and (568) follows:
% 84.99/44.34 | (2) sdtasdt0(xp, all_0_1_1) = all_0_0_0
% 84.99/44.34 |
% 84.99/44.34 | From (556) and (569) follows:
% 84.99/44.34 | (39) aNaturalNumber0(xp) = 0
% 84.99/44.34 |
% 84.99/44.34 +-Applying beta-rule and splitting (133), into two cases.
% 84.99/44.34 |-Branch one:
% 84.99/44.34 | (609) ~ (sdtasdt0(sz00, xm) = all_0_9_9)
% 84.99/44.34 |
% 84.99/44.34 +-Applying beta-rule and splitting (177), into two cases.
% 84.99/44.34 |-Branch one:
% 84.99/44.34 | (610) all_24_0_32 = xp & all_24_1_33 = 0 & sdtpldt0(xk, all_24_2_34) = xp & aNaturalNumber0(all_24_2_34) = 0
% 84.99/44.34 |
% 84.99/44.34 | Applying alpha-rule on (610) yields:
% 84.99/44.34 | (611) all_24_0_32 = xp
% 84.99/44.34 | (612) all_24_1_33 = 0
% 84.99/44.34 | (613) sdtpldt0(xk, all_24_2_34) = xp
% 84.99/44.34 | (614) aNaturalNumber0(all_24_2_34) = 0
% 84.99/44.34 |
% 84.99/44.34 +-Applying beta-rule and splitting (102), into two cases.
% 84.99/44.34 |-Branch one:
% 84.99/44.34 | (615) all_0_9_9 = sz00
% 84.99/44.34 |
% 84.99/44.34 | Equations (615) can reduce 606 to:
% 84.99/44.34 | (259) $false
% 84.99/44.34 |
% 84.99/44.34 |-The branch is then unsatisfiable
% 84.99/44.34 |-Branch two:
% 84.99/44.34 | (606) ~ (all_0_9_9 = sz00)
% 84.99/44.34 | (618) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xr, all_0_9_9) = v2 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 84.99/44.34 |
% 84.99/44.34 | Instantiating (618) with all_251_0_126, all_251_1_127, all_251_2_128 yields:
% 84.99/44.34 | (619) sdtlseqdt0(xr, all_0_9_9) = all_251_0_126 & aNaturalNumber0(all_0_9_9) = all_251_1_127 & aNaturalNumber0(xr) = all_251_2_128 & ( ~ (all_251_1_127 = 0) | ~ (all_251_2_128 = 0) | all_251_0_126 = 0)
% 84.99/44.34 |
% 84.99/44.34 | Applying alpha-rule on (619) yields:
% 84.99/44.34 | (620) sdtlseqdt0(xr, all_0_9_9) = all_251_0_126
% 84.99/44.34 | (621) aNaturalNumber0(all_0_9_9) = all_251_1_127
% 84.99/44.34 | (622) aNaturalNumber0(xr) = all_251_2_128
% 84.99/44.34 | (623) ~ (all_251_1_127 = 0) | ~ (all_251_2_128 = 0) | all_251_0_126 = 0
% 84.99/44.34 |
% 84.99/44.34 +-Applying beta-rule and splitting (125), into two cases.
% 84.99/44.34 |-Branch one:
% 84.99/44.34 | (624) ~ (sdtasdt0(xp, xk) = xm)
% 84.99/44.34 |
% 84.99/44.34 +-Applying beta-rule and splitting (107), into two cases.
% 84.99/44.34 |-Branch one:
% 84.99/44.34 | (615) all_0_9_9 = sz00
% 84.99/44.34 |
% 84.99/44.34 | Equations (615) can reduce 606 to:
% 84.99/44.34 | (259) $false
% 84.99/44.34 |
% 84.99/44.34 |-The branch is then unsatisfiable
% 84.99/44.34 |-Branch two:
% 84.99/44.34 | (606) ~ (all_0_9_9 = sz00)
% 84.99/44.34 | (628) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xp, all_0_9_9) = v2 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 84.99/44.34 |
% 84.99/44.34 | Instantiating (628) with all_264_0_129, all_264_1_130, all_264_2_131 yields:
% 84.99/44.34 | (629) sdtlseqdt0(xp, all_0_9_9) = all_264_0_129 & aNaturalNumber0(all_0_9_9) = all_264_1_130 & aNaturalNumber0(xp) = all_264_2_131 & ( ~ (all_264_1_130 = 0) | ~ (all_264_2_131 = 0) | all_264_0_129 = 0)
% 84.99/44.34 |
% 84.99/44.34 | Applying alpha-rule on (629) yields:
% 84.99/44.34 | (630) sdtlseqdt0(xp, all_0_9_9) = all_264_0_129
% 84.99/44.34 | (631) aNaturalNumber0(all_0_9_9) = all_264_1_130
% 84.99/44.34 | (632) aNaturalNumber0(xp) = all_264_2_131
% 84.99/44.34 | (633) ~ (all_264_1_130 = 0) | ~ (all_264_2_131 = 0) | all_264_0_129 = 0
% 84.99/44.34 |
% 84.99/44.34 +-Applying beta-rule and splitting (570), into two cases.
% 84.99/44.34 |-Branch one:
% 84.99/44.34 | (565) ~ (all_67_2_111 = 0)
% 84.99/44.34 |
% 84.99/44.34 | Equations (556) can reduce 565 to:
% 84.99/44.34 | (259) $false
% 84.99/44.34 |
% 84.99/44.34 |-The branch is then unsatisfiable
% 84.99/44.34 |-Branch two:
% 84.99/44.34 | (556) all_67_2_111 = 0
% 84.99/44.34 | (637) all_67_1_110 = all_0_2_2
% 84.99/44.34 |
% 84.99/44.34 | Combining equations (604,637) yields a new equation:
% 84.99/44.34 | (638) all_0_0_0 = all_0_2_2
% 84.99/44.34 |
% 84.99/44.34 | Simplifying 638 yields:
% 84.99/44.34 | (639) all_0_0_0 = all_0_2_2
% 84.99/44.34 |
% 84.99/44.34 | Equations (639) can reduce 28 to:
% 84.99/44.34 | (640) ~ (all_0_2_2 = all_0_4_4)
% 84.99/44.34 |
% 84.99/44.34 | From (639) and (2) follows:
% 84.99/44.34 | (641) sdtasdt0(xp, all_0_1_1) = all_0_2_2
% 84.99/44.34 |
% 84.99/44.34 | From (639) and (216) follows:
% 84.99/44.34 | (642) aNaturalNumber0(all_0_2_2) = all_43_0_73
% 84.99/44.34 |
% 84.99/44.34 +-Applying beta-rule and splitting (315), into two cases.
% 84.99/44.34 |-Branch one:
% 84.99/44.34 | (643) ~ (aNaturalNumber0(all_0_2_2) = all_43_0_73)
% 84.99/44.34 |
% 84.99/44.34 | Using (642) and (643) yields:
% 84.99/44.34 | (452) $false
% 84.99/44.34 |
% 84.99/44.34 |-The branch is then unsatisfiable
% 84.99/44.34 |-Branch two:
% 84.99/44.34 | (642) aNaturalNumber0(all_0_2_2) = all_43_0_73
% 84.99/44.34 | (646) all_43_0_73 = all_32_2_57
% 84.99/44.34 |
% 84.99/44.34 | From (646) and (642) follows:
% 84.99/44.34 | (190) aNaturalNumber0(all_0_2_2) = all_32_2_57
% 84.99/44.34 |
% 84.99/44.34 +-Applying beta-rule and splitting (122), into two cases.
% 84.99/44.34 |-Branch one:
% 84.99/44.34 | (648) ~ (sdtasdt0(xp, all_0_1_1) = all_0_2_2)
% 84.99/44.34 |
% 84.99/44.34 | Using (641) and (648) yields:
% 84.99/44.34 | (452) $false
% 84.99/44.34 |
% 84.99/44.34 |-The branch is then unsatisfiable
% 84.99/44.34 |-Branch two:
% 84.99/44.34 | (641) sdtasdt0(xp, all_0_1_1) = all_0_2_2
% 84.99/44.34 | (651) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_1_1, xr) = v3 & sdtasdt0(xp, v3) = v4 & aNaturalNumber0(all_0_1_1) = v1 & aNaturalNumber0(xr) = v2 & aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_9_9))
% 84.99/44.34 |
% 84.99/44.34 | Instantiating (651) with all_277_0_132, all_277_1_133, all_277_2_134, all_277_3_135, all_277_4_136 yields:
% 84.99/44.34 | (652) sdtasdt0(all_0_1_1, xr) = all_277_1_133 & sdtasdt0(xp, all_277_1_133) = all_277_0_132 & aNaturalNumber0(all_0_1_1) = all_277_3_135 & aNaturalNumber0(xr) = all_277_2_134 & aNaturalNumber0(xp) = all_277_4_136 & ( ~ (all_277_2_134 = 0) | ~ (all_277_3_135 = 0) | ~ (all_277_4_136 = 0) | all_277_0_132 = all_0_9_9)
% 84.99/44.34 |
% 84.99/44.34 | Applying alpha-rule on (652) yields:
% 84.99/44.34 | (653) sdtasdt0(all_0_1_1, xr) = all_277_1_133
% 84.99/44.34 | (654) aNaturalNumber0(all_0_1_1) = all_277_3_135
% 84.99/44.34 | (655) aNaturalNumber0(xr) = all_277_2_134
% 84.99/44.34 | (656) sdtasdt0(xp, all_277_1_133) = all_277_0_132
% 84.99/44.34 | (657) aNaturalNumber0(xp) = all_277_4_136
% 84.99/44.34 | (658) ~ (all_277_2_134 = 0) | ~ (all_277_3_135 = 0) | ~ (all_277_4_136 = 0) | all_277_0_132 = all_0_9_9
% 84.99/44.34 |
% 84.99/44.34 | Instantiating formula (74) with all_0_1_1, all_277_3_135, all_43_1_74 and discharging atoms aNaturalNumber0(all_0_1_1) = all_277_3_135, aNaturalNumber0(all_0_1_1) = all_43_1_74, yields:
% 84.99/44.34 | (659) all_277_3_135 = all_43_1_74
% 84.99/44.34 |
% 84.99/44.34 | Instantiating formula (74) with all_0_9_9, all_264_1_130, 0 and discharging atoms aNaturalNumber0(all_0_9_9) = all_264_1_130, aNaturalNumber0(all_0_9_9) = 0, yields:
% 84.99/44.34 | (660) all_264_1_130 = 0
% 84.99/44.34 |
% 84.99/44.34 | Instantiating formula (74) with all_0_9_9, all_251_1_127, all_264_1_130 and discharging atoms aNaturalNumber0(all_0_9_9) = all_264_1_130, aNaturalNumber0(all_0_9_9) = all_251_1_127, yields:
% 84.99/44.34 | (661) all_264_1_130 = all_251_1_127
% 84.99/44.34 |
% 84.99/44.34 | Instantiating formula (74) with xr, all_277_2_134, 0 and discharging atoms aNaturalNumber0(xr) = all_277_2_134, aNaturalNumber0(xr) = 0, yields:
% 84.99/44.34 | (662) all_277_2_134 = 0
% 84.99/44.34 |
% 84.99/44.34 | Instantiating formula (74) with xr, all_251_2_128, all_277_2_134 and discharging atoms aNaturalNumber0(xr) = all_277_2_134, aNaturalNumber0(xr) = all_251_2_128, yields:
% 84.99/44.34 | (663) all_277_2_134 = all_251_2_128
% 84.99/44.34 |
% 84.99/44.34 | Instantiating formula (74) with xp, all_277_4_136, 0 and discharging atoms aNaturalNumber0(xp) = all_277_4_136, aNaturalNumber0(xp) = 0, yields:
% 84.99/44.34 | (664) all_277_4_136 = 0
% 84.99/44.34 |
% 84.99/44.34 | Instantiating formula (74) with xp, all_264_2_131, all_277_4_136 and discharging atoms aNaturalNumber0(xp) = all_277_4_136, aNaturalNumber0(xp) = all_264_2_131, yields:
% 84.99/44.34 | (665) all_277_4_136 = all_264_2_131
% 84.99/44.34 |
% 84.99/44.34 | Using (514) and (624) yields:
% 84.99/44.34 | (666) ~ (all_0_9_9 = xm)
% 84.99/44.34 |
% 84.99/44.34 | Using (8) and (609) yields:
% 84.99/44.34 | (667) ~ (xn = sz00)
% 84.99/44.34 |
% 84.99/44.34 | Combining equations (663,662) yields a new equation:
% 84.99/44.34 | (668) all_251_2_128 = 0
% 84.99/44.34 |
% 84.99/44.34 | Simplifying 668 yields:
% 84.99/44.34 | (669) all_251_2_128 = 0
% 84.99/44.34 |
% 84.99/44.34 | Combining equations (665,664) yields a new equation:
% 84.99/44.34 | (670) all_264_2_131 = 0
% 84.99/44.34 |
% 84.99/44.34 | Simplifying 670 yields:
% 84.99/44.34 | (671) all_264_2_131 = 0
% 84.99/44.34 |
% 84.99/44.34 | Combining equations (660,661) yields a new equation:
% 84.99/44.34 | (672) all_251_1_127 = 0
% 84.99/44.34 |
% 84.99/44.34 | Combining equations (672,661) yields a new equation:
% 84.99/44.34 | (660) all_264_1_130 = 0
% 84.99/44.34 |
% 84.99/44.34 | From (659) and (654) follows:
% 84.99/44.34 | (217) aNaturalNumber0(all_0_1_1) = all_43_1_74
% 84.99/44.34 |
% 84.99/44.34 | From (669) and (622) follows:
% 84.99/44.34 | (18) aNaturalNumber0(xr) = 0
% 84.99/44.34 |
% 84.99/44.34 | From (671) and (632) follows:
% 84.99/44.35 | (39) aNaturalNumber0(xp) = 0
% 84.99/44.35 |
% 84.99/44.35 +-Applying beta-rule and splitting (132), into two cases.
% 84.99/44.35 |-Branch one:
% 84.99/44.35 | (677) ~ (sdtasdt0(sz10, xm) = all_0_9_9)
% 84.99/44.35 |
% 84.99/44.35 +-Applying beta-rule and splitting (633), into two cases.
% 84.99/44.35 |-Branch one:
% 84.99/44.35 | (678) ~ (all_264_1_130 = 0)
% 84.99/44.35 |
% 84.99/44.35 | Equations (660) can reduce 678 to:
% 84.99/44.35 | (259) $false
% 84.99/44.35 |
% 84.99/44.35 |-The branch is then unsatisfiable
% 84.99/44.35 |-Branch two:
% 84.99/44.35 | (660) all_264_1_130 = 0
% 84.99/44.35 | (681) ~ (all_264_2_131 = 0) | all_264_0_129 = 0
% 84.99/44.35 |
% 84.99/44.35 +-Applying beta-rule and splitting (105), into two cases.
% 84.99/44.35 |-Branch one:
% 84.99/44.35 | (682) xn = sz00
% 84.99/44.35 |
% 84.99/44.35 | Equations (682) can reduce 667 to:
% 84.99/44.35 | (259) $false
% 84.99/44.35 |
% 84.99/44.35 |-The branch is then unsatisfiable
% 84.99/44.35 |-Branch two:
% 84.99/44.35 | (667) ~ (xn = sz00)
% 84.99/44.35 | (685) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xr, xn) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 84.99/44.35 |
% 84.99/44.35 | Instantiating (685) with all_307_0_137, all_307_1_138, all_307_2_139 yields:
% 84.99/44.35 | (686) sdtlseqdt0(xr, xn) = all_307_0_137 & aNaturalNumber0(xr) = all_307_2_139 & aNaturalNumber0(xn) = all_307_1_138 & ( ~ (all_307_1_138 = 0) | ~ (all_307_2_139 = 0) | all_307_0_137 = 0)
% 84.99/44.35 |
% 84.99/44.35 | Applying alpha-rule on (686) yields:
% 84.99/44.35 | (687) sdtlseqdt0(xr, xn) = all_307_0_137
% 84.99/44.35 | (688) aNaturalNumber0(xr) = all_307_2_139
% 84.99/44.35 | (689) aNaturalNumber0(xn) = all_307_1_138
% 84.99/44.35 | (690) ~ (all_307_1_138 = 0) | ~ (all_307_2_139 = 0) | all_307_0_137 = 0
% 84.99/44.35 |
% 84.99/44.35 +-Applying beta-rule and splitting (681), into two cases.
% 84.99/44.35 |-Branch one:
% 84.99/44.35 | (691) ~ (all_264_2_131 = 0)
% 84.99/44.35 |
% 84.99/44.35 | Equations (671) can reduce 691 to:
% 84.99/44.35 | (259) $false
% 84.99/44.35 |
% 84.99/44.35 |-The branch is then unsatisfiable
% 84.99/44.35 |-Branch two:
% 84.99/44.35 | (671) all_264_2_131 = 0
% 84.99/44.35 | (694) all_264_0_129 = 0
% 84.99/44.35 |
% 84.99/44.35 | From (694) and (630) follows:
% 84.99/44.35 | (695) sdtlseqdt0(xp, all_0_9_9) = 0
% 84.99/44.35 |
% 84.99/44.35 | Instantiating formula (74) with xr, all_307_2_139, 0 and discharging atoms aNaturalNumber0(xr) = all_307_2_139, aNaturalNumber0(xr) = 0, yields:
% 84.99/44.35 | (696) all_307_2_139 = 0
% 84.99/44.35 |
% 84.99/44.35 | Instantiating formula (74) with xn, all_307_1_138, 0 and discharging atoms aNaturalNumber0(xn) = all_307_1_138, aNaturalNumber0(xn) = 0, yields:
% 84.99/44.35 | (697) all_307_1_138 = 0
% 84.99/44.35 |
% 84.99/44.35 | Using (8) and (677) yields:
% 84.99/44.35 | (698) ~ (xn = sz10)
% 84.99/44.35 |
% 84.99/44.35 | From (696) and (688) follows:
% 84.99/44.35 | (18) aNaturalNumber0(xr) = 0
% 84.99/44.35 |
% 84.99/44.35 | From (697) and (689) follows:
% 84.99/44.35 | (97) aNaturalNumber0(xn) = 0
% 84.99/44.35 |
% 84.99/44.35 +-Applying beta-rule and splitting (144), into two cases.
% 84.99/44.35 |-Branch one:
% 84.99/44.35 | (682) xn = sz00
% 84.99/44.35 |
% 84.99/44.35 | Equations (682) can reduce 667 to:
% 84.99/44.35 | (259) $false
% 84.99/44.35 |
% 84.99/44.35 |-The branch is then unsatisfiable
% 84.99/44.35 |-Branch two:
% 84.99/44.35 | (667) ~ (xn = sz00)
% 84.99/44.35 | (704) xn = sz10 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xn) = 0 & aNaturalNumber0(v0) = 0)
% 84.99/44.35 |
% 84.99/44.35 +-Applying beta-rule and splitting (704), into two cases.
% 84.99/44.35 |-Branch one:
% 84.99/44.35 | (705) xn = sz10
% 84.99/44.35 |
% 84.99/44.35 | Equations (705) can reduce 698 to:
% 84.99/44.35 | (259) $false
% 84.99/44.35 |
% 84.99/44.35 |-The branch is then unsatisfiable
% 84.99/44.35 |-Branch two:
% 84.99/44.35 | (698) ~ (xn = sz10)
% 84.99/44.35 | (708) ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xn) = 0 & aNaturalNumber0(v0) = 0)
% 84.99/44.35 |
% 84.99/44.35 | Instantiating (708) with all_331_0_140 yields:
% 84.99/44.35 | (709) isPrime0(all_331_0_140) = 0 & doDivides0(all_331_0_140, xn) = 0 & aNaturalNumber0(all_331_0_140) = 0
% 84.99/44.35 |
% 84.99/44.35 | Applying alpha-rule on (709) yields:
% 84.99/44.35 | (710) isPrime0(all_331_0_140) = 0
% 84.99/44.35 | (711) doDivides0(all_331_0_140, xn) = 0
% 84.99/44.35 | (712) aNaturalNumber0(all_331_0_140) = 0
% 84.99/44.35 |
% 84.99/44.35 | Instantiating formula (57) with xn, all_331_0_140 and discharging atoms doDivides0(all_331_0_140, xn) = 0, yields:
% 84.99/44.35 | (713) xn = sz00 | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_331_0_140, xn) = v2 & aNaturalNumber0(all_331_0_140) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 84.99/44.35 |
% 84.99/44.35 | Instantiating formula (61) with all_93_0_119, xr and discharging atoms isPrime0(xr) = 0, doDivides0(all_93_0_119, xr) = 0, yields:
% 84.99/44.35 | (714) all_93_0_119 = xr | all_93_0_119 = sz10 | ? [v0] : (( ~ (v0 = 0) & aNaturalNumber0(all_93_0_119) = v0) | ( ~ (v0 = 0) & aNaturalNumber0(xr) = v0))
% 84.99/44.35 |
% 84.99/44.35 | Instantiating formula (57) with xr, all_93_0_119 and discharging atoms doDivides0(all_93_0_119, xr) = 0, yields:
% 84.99/44.35 | (715) xr = sz00 | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_93_0_119, xr) = v2 & aNaturalNumber0(all_93_0_119) = v0 & aNaturalNumber0(xr) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 84.99/44.35 |
% 84.99/44.35 | Instantiating formula (57) with xp, all_88_0_118 and discharging atoms doDivides0(all_88_0_118, xp) = 0, yields:
% 84.99/44.35 | (716) xp = sz00 | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_88_0_118, xp) = v2 & aNaturalNumber0(all_88_0_118) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 84.99/44.35 |
% 84.99/44.35 | Instantiating formula (20) with all_0_7_7, xm, all_0_9_9, xp and discharging atoms sdtlseqdt0(xp, all_0_9_9) = 0, sdtlseqdt0(xp, xm) = all_0_7_7, yields:
% 84.99/44.35 | (717) all_0_7_7 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtlseqdt0(all_0_9_9, xm) = v3 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 84.99/44.35 |
% 84.99/44.35 | Instantiating formula (20) with all_0_8_8, xn, all_0_9_9, xp and discharging atoms sdtlseqdt0(xp, all_0_9_9) = 0, sdtlseqdt0(xp, xn) = all_0_8_8, yields:
% 84.99/44.35 | (718) all_0_8_8 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtlseqdt0(all_0_9_9, xn) = v3 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xn) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 84.99/44.35 |
% 84.99/44.35 | Instantiating formula (20) with all_76_0_115, xk, all_0_9_9, xp and discharging atoms sdtlseqdt0(xp, all_0_9_9) = 0, sdtlseqdt0(xp, xk) = all_76_0_115, yields:
% 84.99/44.35 | (719) all_76_0_115 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtlseqdt0(all_0_9_9, xk) = v3 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xk) = v2 & aNaturalNumber0(xp) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 84.99/44.35 |
% 84.99/44.35 | Instantiating formula (92) with all_277_1_133, xr, all_0_1_1 and discharging atoms sdtasdt0(all_0_1_1, xr) = all_277_1_133, yields:
% 84.99/44.35 | (720) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(xr, all_0_1_1) = v2 & aNaturalNumber0(all_0_1_1) = v0 & aNaturalNumber0(xr) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_277_1_133))
% 84.99/44.35 |
% 84.99/44.35 | Instantiating formula (55) with all_277_1_133, xr, all_0_1_1 and discharging atoms sdtasdt0(all_0_1_1, xr) = all_277_1_133, yields:
% 84.99/44.35 | (721) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_277_1_133) = v2 & aNaturalNumber0(all_0_1_1) = v0 & aNaturalNumber0(xr) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 84.99/44.35 |
% 84.99/44.35 | Instantiating formula (52) with all_0_9_9, all_0_2_2, xr, xp, all_0_1_1 and discharging atoms sdtasdt0(all_0_2_2, xr) = all_0_9_9, yields:
% 84.99/44.35 | (722) ~ (sdtasdt0(all_0_1_1, xp) = all_0_2_2) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_1_1, v3) = v4 & sdtasdt0(xp, xr) = v3 & aNaturalNumber0(all_0_1_1) = v0 & aNaturalNumber0(xr) = v2 & aNaturalNumber0(xp) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_9_9))
% 84.99/44.35 |
% 84.99/44.35 | Instantiating formula (92) with all_45_0_76, xp, all_0_1_1 and discharging atoms sdtasdt0(all_0_1_1, xp) = all_45_0_76, yields:
% 84.99/44.35 | (723) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(xp, all_0_1_1) = v2 & aNaturalNumber0(all_0_1_1) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_45_0_76))
% 84.99/44.35 |
% 84.99/44.35 | Instantiating formula (55) with all_45_0_76, xp, all_0_1_1 and discharging atoms sdtasdt0(all_0_1_1, xp) = all_45_0_76, yields:
% 84.99/44.35 | (724) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_45_0_76) = v2 & aNaturalNumber0(all_0_1_1) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 84.99/44.35 |
% 84.99/44.35 | Instantiating formula (45) with all_0_9_9, all_0_2_2, all_0_9_9, xr and discharging atoms sdtsldt0(all_0_9_9, xr) = all_0_2_2, yields:
% 84.99/44.35 | (725) xr = sz00 | ~ (sdtasdt0(xr, all_0_2_2) = all_0_9_9) | ? [v0] : ? [v1] : ? [v2] : ((v0 = 0 & aNaturalNumber0(all_0_2_2) = 0) | (doDivides0(xr, all_0_9_9) = v2 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 84.99/44.35 |
% 84.99/44.35 | Instantiating formula (92) with all_0_9_9, all_38_2_66, xr and discharging atoms sdtasdt0(xr, all_38_2_66) = all_0_9_9, yields:
% 84.99/44.35 | (726) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_38_2_66, xr) = v2 & aNaturalNumber0(all_38_2_66) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_9_9))
% 84.99/44.35 |
% 84.99/44.35 | Instantiating formula (45) with xn, all_0_5_5, xn, xr and discharging atoms sdtsldt0(xn, xr) = all_0_5_5, yields:
% 84.99/44.35 | (727) xr = sz00 | ~ (sdtasdt0(xr, all_0_5_5) = xn) | ? [v0] : ? [v1] : ? [v2] : ((v0 = 0 & aNaturalNumber0(all_0_5_5) = 0) | (doDivides0(xr, xn) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 84.99/44.35 |
% 84.99/44.35 | Instantiating formula (44) with all_29_2_49, all_0_5_5, xn, xr and discharging atoms sdtsldt0(xn, xr) = all_0_5_5, sdtasdt0(xr, all_29_2_49) = xn, yields:
% 84.99/44.35 | (728) all_29_2_49 = all_0_5_5 | xr = sz00 | ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & aNaturalNumber0(all_29_2_49) = v0) | (doDivides0(xr, xn) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 84.99/44.35 |
% 84.99/44.35 | Instantiating formula (52) with all_0_9_9, xn, xm, all_29_2_49, xr and discharging atoms sdtasdt0(xr, all_29_2_49) = xn, sdtasdt0(xn, xm) = all_0_9_9, yields:
% 84.99/44.35 | (729) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_29_2_49, xm) = v3 & sdtasdt0(xr, v3) = v4 & aNaturalNumber0(all_29_2_49) = v1 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xm) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_9_9))
% 84.99/44.35 |
% 84.99/44.35 | Instantiating formula (92) with xn, all_29_2_49, xr and discharging atoms sdtasdt0(xr, all_29_2_49) = xn, yields:
% 84.99/44.35 | (730) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_29_2_49, xr) = v2 & aNaturalNumber0(all_29_2_49) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = xn))
% 84.99/44.35 |
% 84.99/44.35 | Instantiating formula (45) with xk, all_0_1_1, xk, xr and discharging atoms sdtsldt0(xk, xr) = all_0_1_1, yields:
% 84.99/44.35 | (731) xr = sz00 | ~ (sdtasdt0(xr, all_0_1_1) = xk) | ? [v0] : ? [v1] : ? [v2] : ((v0 = 0 & aNaturalNumber0(all_0_1_1) = 0) | (doDivides0(xr, xk) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xk) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 84.99/44.35 |
% 84.99/44.35 | Instantiating formula (44) with all_27_2_43, all_0_1_1, xk, xr and discharging atoms sdtsldt0(xk, xr) = all_0_1_1, sdtasdt0(xr, all_27_2_43) = xk, yields:
% 84.99/44.36 | (732) all_27_2_43 = all_0_1_1 | xr = sz00 | ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & aNaturalNumber0(all_27_2_43) = v0) | (doDivides0(xr, xk) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xk) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (92) with xk, all_27_2_43, xr and discharging atoms sdtasdt0(xr, all_27_2_43) = xk, yields:
% 84.99/44.36 | (733) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_27_2_43, xr) = v2 & aNaturalNumber0(all_27_2_43) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = xk))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (45) with all_34_0_58, all_0_2_2, all_0_9_9, xr and discharging atoms sdtsldt0(all_0_9_9, xr) = all_0_2_2, sdtasdt0(xr, all_0_2_2) = all_34_0_58, yields:
% 84.99/44.36 | (734) xr = sz00 | ? [v0] : ? [v1] : ? [v2] : ((v0 = 0 & aNaturalNumber0(all_0_2_2) = 0) | (doDivides0(xr, all_0_9_9) = v2 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (70) with all_34_0_58, all_0_9_9, all_0_2_2, all_38_2_66, xr and discharging atoms sdtasdt0(xr, all_38_2_66) = all_0_9_9, sdtasdt0(xr, all_0_2_2) = all_34_0_58, aNaturalNumber0(xr) = 0, yields:
% 84.99/44.36 | (735) all_38_2_66 = all_0_2_2 | xr = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(all_38_2_66, xr) = v2 & sdtasdt0(all_0_2_2, xr) = v3 & aNaturalNumber0(all_38_2_66) = v0 & aNaturalNumber0(all_0_2_2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ (all_34_0_58 = all_0_9_9))))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (92) with all_34_0_58, all_0_2_2, xr and discharging atoms sdtasdt0(xr, all_0_2_2) = all_34_0_58, yields:
% 84.99/44.36 | (736) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_0_2_2, xr) = v2 & aNaturalNumber0(all_0_2_2) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_34_0_58))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (55) with all_34_0_58, all_0_2_2, xr and discharging atoms sdtasdt0(xr, all_0_2_2) = all_34_0_58, yields:
% 84.99/44.36 | (737) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_34_0_58) = v2 & aNaturalNumber0(all_0_2_2) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (70) with all_56_0_100, all_34_0_58, all_0_4_4, all_0_2_2, xr and discharging atoms sdtasdt0(xr, all_0_2_2) = all_34_0_58, sdtasdt0(xr, all_0_4_4) = all_56_0_100, aNaturalNumber0(xr) = 0, yields:
% 84.99/44.36 | (738) all_0_2_2 = all_0_4_4 | xr = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(all_0_2_2, xr) = v2 & sdtasdt0(all_0_4_4, xr) = v3 & aNaturalNumber0(all_0_2_2) = v0 & aNaturalNumber0(all_0_4_4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ (all_56_0_100 = all_34_0_58))))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (70) with all_34_0_58, all_56_0_100, all_0_2_2, all_0_4_4, xr and discharging atoms sdtasdt0(xr, all_0_2_2) = all_34_0_58, sdtasdt0(xr, all_0_4_4) = all_56_0_100, aNaturalNumber0(xr) = 0, yields:
% 84.99/44.36 | (739) all_0_2_2 = all_0_4_4 | xr = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(all_0_2_2, xr) = v3 & sdtasdt0(all_0_4_4, xr) = v2 & aNaturalNumber0(all_0_2_2) = v1 & aNaturalNumber0(all_0_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ (all_56_0_100 = all_34_0_58))))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (92) with all_56_0_100, all_0_4_4, xr and discharging atoms sdtasdt0(xr, all_0_4_4) = all_56_0_100, yields:
% 84.99/44.36 | (740) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_0_4_4, xr) = v2 & aNaturalNumber0(all_0_4_4) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_56_0_100))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (55) with all_56_0_100, all_0_4_4, xr and discharging atoms sdtasdt0(xr, all_0_4_4) = all_56_0_100, yields:
% 84.99/44.36 | (741) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_56_0_100) = v2 & aNaturalNumber0(all_0_4_4) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (52) with all_0_9_9, xk, xp, xr, all_0_1_1 and discharging atoms sdtasdt0(xk, xp) = all_0_9_9, yields:
% 84.99/44.36 | (742) ~ (sdtasdt0(all_0_1_1, xr) = xk) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_1_1, v3) = v4 & sdtasdt0(xr, xp) = v3 & aNaturalNumber0(all_0_1_1) = v0 & aNaturalNumber0(xr) = v1 & aNaturalNumber0(xp) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_9_9))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (52) with all_0_9_9, xk, xp, all_27_2_43, xr and discharging atoms sdtasdt0(xr, all_27_2_43) = xk, sdtasdt0(xk, xp) = all_0_9_9, yields:
% 84.99/44.36 | (743) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_27_2_43, xp) = v3 & sdtasdt0(xr, v3) = v4 & aNaturalNumber0(all_27_2_43) = v1 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xp) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_9_9))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (92) with all_277_0_132, all_277_1_133, xp and discharging atoms sdtasdt0(xp, all_277_1_133) = all_277_0_132, yields:
% 84.99/44.36 | (744) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_277_1_133, xp) = v2 & aNaturalNumber0(all_277_1_133) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_277_0_132))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (55) with all_277_0_132, all_277_1_133, xp and discharging atoms sdtasdt0(xp, all_277_1_133) = all_277_0_132, yields:
% 84.99/44.36 | (745) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_277_0_132) = v2 & aNaturalNumber0(all_277_1_133) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (44) with all_28_2_46, xk, all_0_9_9, xp and discharging atoms sdtsldt0(all_0_9_9, xp) = xk, sdtasdt0(xp, all_28_2_46) = all_0_9_9, yields:
% 84.99/44.36 | (746) all_28_2_46 = xk | xp = sz00 | ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & aNaturalNumber0(all_28_2_46) = v0) | (doDivides0(xp, all_0_9_9) = v2 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (92) with all_0_9_9, all_28_2_46, xp and discharging atoms sdtasdt0(xp, all_28_2_46) = all_0_9_9, yields:
% 84.99/44.36 | (747) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_28_2_46, xp) = v2 & aNaturalNumber0(all_28_2_46) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_9_9))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (70) with all_0_9_9, all_0_9_9, all_28_2_46, xk, xp and discharging atoms sdtasdt0(xp, all_28_2_46) = all_0_9_9, sdtasdt0(xp, xk) = all_0_9_9, aNaturalNumber0(xp) = 0, yields:
% 84.99/44.36 | (748) all_28_2_46 = xk | xp = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(all_28_2_46, xp) = v3 & sdtasdt0(xk, xp) = v2 & aNaturalNumber0(all_28_2_46) = v1 & aNaturalNumber0(xk) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (92) with all_22_0_29, all_0_5_5, xm and discharging atoms sdtasdt0(xm, all_0_5_5) = all_22_0_29, yields:
% 84.99/44.36 | (749) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_0_5_5, xm) = v2 & aNaturalNumber0(all_0_5_5) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_22_0_29))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (55) with all_22_0_29, all_0_5_5, xm and discharging atoms sdtasdt0(xm, all_0_5_5) = all_22_0_29, yields:
% 84.99/44.36 | (750) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_22_0_29) = v2 & aNaturalNumber0(all_0_5_5) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (92) with all_30_1_51, xr, xm and discharging atoms sdtasdt0(xm, xr) = all_30_1_51, yields:
% 84.99/44.36 | (751) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(xr, xm) = v2 & aNaturalNumber0(xr) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_30_1_51))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (55) with all_30_1_51, xr, xm and discharging atoms sdtasdt0(xm, xr) = all_30_1_51, yields:
% 84.99/44.36 | (752) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_30_1_51) = v2 & aNaturalNumber0(xr) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (78) with all_0_2_2, all_0_9_9, xm, all_0_5_5, xn, xr and discharging atoms sdtsldt0(all_0_9_9, xr) = all_0_2_2, sdtsldt0(xn, xr) = all_0_5_5, sdtasdt0(xm, xn) = all_0_9_9, yields:
% 84.99/44.36 | (753) xr = sz00 | ? [v0] : ? [v1] : ? [v2] : ((doDivides0(xr, xn) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) | (sdtasdt0(xm, all_0_5_5) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v0 = 0) | v1 = all_0_2_2)))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (56) with xk, all_25_2_37, xr, xr and discharging atoms doDivides0(xr, xk) = 0, sdtpldt0(xr, all_25_2_37) = xk, yields:
% 84.99/44.36 | (754) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(xr, all_25_2_37) = v4 & doDivides0(xr, xr) = v3 & aNaturalNumber0(all_25_2_37) = v2 & aNaturalNumber0(xr) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (82) with xk, all_25_2_37, xr and discharging atoms sdtpldt0(xr, all_25_2_37) = xk, yields:
% 84.99/44.36 | (755) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_25_2_37, xr) = v2 & aNaturalNumber0(all_25_2_37) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = xk))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (56) with xp, all_24_2_34, xk, all_88_0_118 and discharging atoms doDivides0(all_88_0_118, xp) = 0, sdtpldt0(xk, all_24_2_34) = xp, yields:
% 84.99/44.36 | (756) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(all_88_0_118, all_24_2_34) = v4 & doDivides0(all_88_0_118, xk) = v3 & aNaturalNumber0(all_88_0_118) = v0 & aNaturalNumber0(all_24_2_34) = v2 & aNaturalNumber0(xk) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (24) with xp, xk, all_24_2_34, all_25_2_37, xr and discharging atoms sdtpldt0(xr, all_25_2_37) = xk, sdtpldt0(xk, all_24_2_34) = xp, yields:
% 84.99/44.36 | (757) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (isPrime0(all_24_2_34) = v3 & doDivides0(all_24_2_34, v4) = v5 & doDivides0(all_24_2_34, all_25_2_37) = v8 & doDivides0(all_24_2_34, xr) = v7 & iLess0(xp, all_0_10_10) = v6 & sdtasdt0(xr, all_25_2_37) = v4 & aNaturalNumber0(all_25_2_37) = v1 & aNaturalNumber0(all_24_2_34) = v2 & aNaturalNumber0(xr) = v0 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (83) with xp, xk, all_24_2_34, all_25_2_37, xr and discharging atoms sdtpldt0(xr, all_25_2_37) = xk, sdtpldt0(xk, all_24_2_34) = xp, yields:
% 84.99/44.36 | (758) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_25_2_37, all_24_2_34) = v3 & sdtpldt0(xr, v3) = v4 & aNaturalNumber0(all_25_2_37) = v1 & aNaturalNumber0(all_24_2_34) = v2 & aNaturalNumber0(xr) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = xp))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (82) with xp, all_24_2_34, xk and discharging atoms sdtpldt0(xk, all_24_2_34) = xp, yields:
% 84.99/44.36 | (759) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_24_2_34, xk) = v2 & aNaturalNumber0(all_24_2_34) = v1 & aNaturalNumber0(xk) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = xp))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (24) with all_0_10_10, xp, all_0_11_11, all_24_2_34, xk and discharging atoms sdtpldt0(xk, all_24_2_34) = xp, sdtpldt0(xp, all_0_11_11) = all_0_10_10, yields:
% 84.99/44.36 | (760) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (isPrime0(all_0_11_11) = v3 & doDivides0(all_0_11_11, v4) = v5 & doDivides0(all_0_11_11, all_24_2_34) = v8 & doDivides0(all_0_11_11, xk) = v7 & iLess0(all_0_10_10, all_0_10_10) = v6 & sdtasdt0(xk, all_24_2_34) = v4 & aNaturalNumber0(all_24_2_34) = v1 & aNaturalNumber0(all_0_11_11) = v2 & aNaturalNumber0(xk) = v0 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (83) with all_0_10_10, xp, all_0_11_11, all_24_2_34, xk and discharging atoms sdtpldt0(xk, all_24_2_34) = xp, sdtpldt0(xp, all_0_11_11) = all_0_10_10, yields:
% 84.99/44.36 | (761) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_24_2_34, all_0_11_11) = v3 & sdtpldt0(xk, v3) = v4 & aNaturalNumber0(all_24_2_34) = v1 & aNaturalNumber0(all_0_11_11) = v2 & aNaturalNumber0(xk) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_10_10))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (56) with xp, all_58_2_105, xm, all_88_0_118 and discharging atoms doDivides0(all_88_0_118, xp) = 0, sdtpldt0(xm, all_58_2_105) = xp, yields:
% 84.99/44.36 | (762) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(all_88_0_118, all_58_2_105) = v4 & doDivides0(all_88_0_118, xm) = v3 & aNaturalNumber0(all_88_0_118) = v0 & aNaturalNumber0(all_58_2_105) = v2 & aNaturalNumber0(xm) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (24) with all_0_10_10, xp, all_0_11_11, all_58_2_105, xm and discharging atoms sdtpldt0(xp, all_0_11_11) = all_0_10_10, sdtpldt0(xm, all_58_2_105) = xp, yields:
% 84.99/44.36 | (763) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (isPrime0(all_0_11_11) = v3 & doDivides0(all_0_11_11, v4) = v5 & doDivides0(all_0_11_11, all_58_2_105) = v8 & doDivides0(all_0_11_11, xm) = v7 & iLess0(all_0_10_10, all_0_10_10) = v6 & sdtasdt0(xm, all_58_2_105) = v4 & aNaturalNumber0(all_58_2_105) = v1 & aNaturalNumber0(all_0_11_11) = v2 & aNaturalNumber0(xm) = v0 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (83) with all_0_10_10, xp, all_0_11_11, all_58_2_105, xm and discharging atoms sdtpldt0(xp, all_0_11_11) = all_0_10_10, sdtpldt0(xm, all_58_2_105) = xp, yields:
% 84.99/44.36 | (764) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_58_2_105, all_0_11_11) = v3 & sdtpldt0(xm, v3) = v4 & aNaturalNumber0(all_58_2_105) = v1 & aNaturalNumber0(all_0_11_11) = v2 & aNaturalNumber0(xm) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_10_10))
% 84.99/44.36 |
% 84.99/44.36 | Instantiating formula (82) with xp, all_58_2_105, xm and discharging atoms sdtpldt0(xm, all_58_2_105) = xp, yields:
% 84.99/44.36 | (765) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_58_2_105, xm) = v2 & aNaturalNumber0(all_58_2_105) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = xp))
% 84.99/44.37 |
% 84.99/44.37 | Instantiating formula (82) with all_14_1_16, xp, xm and discharging atoms sdtpldt0(xm, xp) = all_14_1_16, yields:
% 84.99/44.37 | (766) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(xp, xm) = v2 & aNaturalNumber0(xp) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_14_1_16))
% 84.99/44.37 |
% 84.99/44.37 | Instantiating formula (30) with all_14_1_16, xp, xm and discharging atoms sdtpldt0(xm, xp) = all_14_1_16, yields:
% 84.99/44.37 | (767) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_14_1_16) = v2 & aNaturalNumber0(xp) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 84.99/44.37 |
% 84.99/44.37 | Instantiating formula (24) with all_0_10_10, all_0_11_11, xp, xn, xm and discharging atoms sdtpldt0(all_0_11_11, xp) = all_0_10_10, sdtpldt0(xm, xn) = all_0_11_11, yields:
% 84.99/44.37 | (768) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (isPrime0(xp) = v3 & doDivides0(xp, v4) = v5 & doDivides0(xp, xm) = v7 & doDivides0(xp, xn) = v8 & iLess0(all_0_10_10, all_0_10_10) = v6 & sdtasdt0(xm, xn) = v4 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0))
% 84.99/44.37 |
% 84.99/44.37 | Instantiating formula (83) with all_0_10_10, all_0_11_11, xp, xn, xm and discharging atoms sdtpldt0(all_0_11_11, xp) = all_0_10_10, sdtpldt0(xm, xn) = all_0_11_11, yields:
% 84.99/44.37 | (769) ? [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_10_10))
% 84.99/44.37 |
% 84.99/44.37 | Instantiating formula (16) with all_0_11_11, all_14_1_16, xn, xp, xm and discharging atoms sdtpldt0(xm, xp) = all_14_1_16, sdtpldt0(xm, xn) = all_0_11_11, yields:
% 84.99/44.37 | (770) 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_14_1_16 = all_0_11_11))))
% 84.99/44.37 |
% 84.99/44.37 | Instantiating formula (16) with all_14_1_16, all_0_11_11, xp, xn, xm and discharging atoms sdtpldt0(xm, xp) = all_14_1_16, sdtpldt0(xm, xn) = all_0_11_11, yields:
% 84.99/44.37 | (771) 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_14_1_16 = all_0_11_11))))
% 84.99/44.37 |
% 84.99/44.37 | Instantiating formula (56) with xp, all_55_2_99, xn, all_88_0_118 and discharging atoms doDivides0(all_88_0_118, xp) = 0, sdtpldt0(xn, all_55_2_99) = xp, yields:
% 84.99/44.37 | (772) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(all_88_0_118, all_55_2_99) = v4 & doDivides0(all_88_0_118, xn) = v3 & aNaturalNumber0(all_88_0_118) = v0 & aNaturalNumber0(all_55_2_99) = v2 & aNaturalNumber0(xn) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 84.99/44.37 |
% 84.99/44.37 | Instantiating formula (24) with all_0_10_10, xp, all_0_11_11, all_55_2_99, xn and discharging atoms sdtpldt0(xp, all_0_11_11) = all_0_10_10, sdtpldt0(xn, all_55_2_99) = xp, yields:
% 84.99/44.37 | (773) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (isPrime0(all_0_11_11) = v3 & doDivides0(all_0_11_11, v4) = v5 & doDivides0(all_0_11_11, all_55_2_99) = v8 & doDivides0(all_0_11_11, xn) = v7 & iLess0(all_0_10_10, all_0_10_10) = v6 & sdtasdt0(xn, all_55_2_99) = v4 & aNaturalNumber0(all_55_2_99) = v1 & aNaturalNumber0(all_0_11_11) = v2 & aNaturalNumber0(xn) = v0 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0))
% 84.99/44.37 |
% 84.99/44.37 | Instantiating formula (83) with all_0_10_10, xp, all_0_11_11, all_55_2_99, xn and discharging atoms sdtpldt0(xp, all_0_11_11) = all_0_10_10, sdtpldt0(xn, all_55_2_99) = xp, yields:
% 84.99/44.37 | (774) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_55_2_99, all_0_11_11) = v3 & sdtpldt0(xn, v3) = v4 & aNaturalNumber0(all_55_2_99) = v1 & aNaturalNumber0(all_0_11_11) = v2 & aNaturalNumber0(xn) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_10_10))
% 84.99/44.37 |
% 84.99/44.37 | Instantiating formula (82) with xp, all_55_2_99, xn and discharging atoms sdtpldt0(xn, all_55_2_99) = xp, yields:
% 84.99/44.37 | (775) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_55_2_99, xn) = v2 & aNaturalNumber0(all_55_2_99) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = xp))
% 84.99/44.37 |
% 84.99/44.37 | Instantiating formula (82) with all_0_10_10, all_14_1_16, xn and discharging atoms sdtpldt0(xn, all_14_1_16) = all_0_10_10, yields:
% 84.99/44.37 | (776) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_14_1_16, xn) = v2 & aNaturalNumber0(all_14_1_16) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_10_10))
% 84.99/44.37 |
% 84.99/44.37 | Instantiating formula (30) with all_0_10_10, all_14_1_16, xn and discharging atoms sdtpldt0(xn, all_14_1_16) = all_0_10_10, yields:
% 84.99/44.37 | (777) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_14_1_16) = v1 & aNaturalNumber0(all_0_10_10) = v2 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 84.99/44.37 |
% 84.99/44.37 | Instantiating formula (67) with all_93_0_119 and discharging atoms aNaturalNumber0(all_93_0_119) = 0, yields:
% 84.99/44.37 | (778) all_93_0_119 = sz10 | all_93_0_119 = sz00 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, all_93_0_119) = 0 & aNaturalNumber0(v0) = 0)
% 84.99/44.37 |
% 84.99/44.37 | Instantiating (777) with all_354_0_141, all_354_1_142, all_354_2_143 yields:
% 84.99/44.37 | (779) aNaturalNumber0(all_14_1_16) = all_354_1_142 & aNaturalNumber0(all_0_10_10) = all_354_0_141 & aNaturalNumber0(xn) = all_354_2_143 & ( ~ (all_354_1_142 = 0) | ~ (all_354_2_143 = 0) | all_354_0_141 = 0)
% 84.99/44.37 |
% 84.99/44.37 | Applying alpha-rule on (779) yields:
% 84.99/44.37 | (780) aNaturalNumber0(all_14_1_16) = all_354_1_142
% 84.99/44.37 | (781) aNaturalNumber0(all_0_10_10) = all_354_0_141
% 84.99/44.37 | (782) aNaturalNumber0(xn) = all_354_2_143
% 84.99/44.37 | (783) ~ (all_354_1_142 = 0) | ~ (all_354_2_143 = 0) | all_354_0_141 = 0
% 84.99/44.37 |
% 84.99/44.37 | Instantiating (776) with all_356_0_144, all_356_1_145, all_356_2_146 yields:
% 84.99/44.37 | (784) sdtpldt0(all_14_1_16, xn) = all_356_0_144 & aNaturalNumber0(all_14_1_16) = all_356_1_145 & aNaturalNumber0(xn) = all_356_2_146 & ( ~ (all_356_1_145 = 0) | ~ (all_356_2_146 = 0) | all_356_0_144 = all_0_10_10)
% 84.99/44.37 |
% 84.99/44.37 | Applying alpha-rule on (784) yields:
% 84.99/44.37 | (785) sdtpldt0(all_14_1_16, xn) = all_356_0_144
% 84.99/44.37 | (786) aNaturalNumber0(all_14_1_16) = all_356_1_145
% 84.99/44.37 | (787) aNaturalNumber0(xn) = all_356_2_146
% 84.99/44.37 | (788) ~ (all_356_1_145 = 0) | ~ (all_356_2_146 = 0) | all_356_0_144 = all_0_10_10
% 84.99/44.37 |
% 84.99/44.37 | Instantiating (747) with all_358_0_147, all_358_1_148, all_358_2_149 yields:
% 84.99/44.37 | (789) sdtasdt0(all_28_2_46, xp) = all_358_0_147 & aNaturalNumber0(all_28_2_46) = all_358_1_148 & aNaturalNumber0(xp) = all_358_2_149 & ( ~ (all_358_1_148 = 0) | ~ (all_358_2_149 = 0) | all_358_0_147 = all_0_9_9)
% 84.99/44.37 |
% 84.99/44.37 | Applying alpha-rule on (789) yields:
% 84.99/44.37 | (790) sdtasdt0(all_28_2_46, xp) = all_358_0_147
% 84.99/44.37 | (791) aNaturalNumber0(all_28_2_46) = all_358_1_148
% 84.99/44.37 | (792) aNaturalNumber0(xp) = all_358_2_149
% 84.99/44.37 | (793) ~ (all_358_1_148 = 0) | ~ (all_358_2_149 = 0) | all_358_0_147 = all_0_9_9
% 84.99/44.37 |
% 84.99/44.37 | Instantiating (733) with all_360_0_150, all_360_1_151, all_360_2_152 yields:
% 84.99/44.37 | (794) sdtasdt0(all_27_2_43, xr) = all_360_0_150 & aNaturalNumber0(all_27_2_43) = all_360_1_151 & aNaturalNumber0(xr) = all_360_2_152 & ( ~ (all_360_1_151 = 0) | ~ (all_360_2_152 = 0) | all_360_0_150 = xk)
% 84.99/44.37 |
% 84.99/44.37 | Applying alpha-rule on (794) yields:
% 84.99/44.37 | (795) sdtasdt0(all_27_2_43, xr) = all_360_0_150
% 84.99/44.37 | (796) aNaturalNumber0(all_27_2_43) = all_360_1_151
% 84.99/44.37 | (797) aNaturalNumber0(xr) = all_360_2_152
% 84.99/44.37 | (798) ~ (all_360_1_151 = 0) | ~ (all_360_2_152 = 0) | all_360_0_150 = xk
% 84.99/44.37 |
% 84.99/44.37 | Instantiating (724) with all_366_0_159, all_366_1_160, all_366_2_161 yields:
% 84.99/44.37 | (799) aNaturalNumber0(all_45_0_76) = all_366_0_159 & aNaturalNumber0(all_0_1_1) = all_366_2_161 & aNaturalNumber0(xp) = all_366_1_160 & ( ~ (all_366_1_160 = 0) | ~ (all_366_2_161 = 0) | all_366_0_159 = 0)
% 84.99/44.37 |
% 84.99/44.37 | Applying alpha-rule on (799) yields:
% 84.99/44.37 | (800) aNaturalNumber0(all_45_0_76) = all_366_0_159
% 84.99/44.37 | (801) aNaturalNumber0(all_0_1_1) = all_366_2_161
% 84.99/44.37 | (802) aNaturalNumber0(xp) = all_366_1_160
% 84.99/44.37 | (803) ~ (all_366_1_160 = 0) | ~ (all_366_2_161 = 0) | all_366_0_159 = 0
% 84.99/44.37 |
% 84.99/44.37 | Instantiating (730) with all_368_0_162, all_368_1_163, all_368_2_164 yields:
% 84.99/44.37 | (804) sdtasdt0(all_29_2_49, xr) = all_368_0_162 & aNaturalNumber0(all_29_2_49) = all_368_1_163 & aNaturalNumber0(xr) = all_368_2_164 & ( ~ (all_368_1_163 = 0) | ~ (all_368_2_164 = 0) | all_368_0_162 = xn)
% 84.99/44.37 |
% 84.99/44.37 | Applying alpha-rule on (804) yields:
% 84.99/44.37 | (805) sdtasdt0(all_29_2_49, xr) = all_368_0_162
% 84.99/44.37 | (806) aNaturalNumber0(all_29_2_49) = all_368_1_163
% 84.99/44.37 | (807) aNaturalNumber0(xr) = all_368_2_164
% 84.99/44.37 | (808) ~ (all_368_1_163 = 0) | ~ (all_368_2_164 = 0) | all_368_0_162 = xn
% 84.99/44.37 |
% 84.99/44.37 | Instantiating (729) with all_370_0_165, all_370_1_166, all_370_2_167, all_370_3_168, all_370_4_169 yields:
% 84.99/44.37 | (809) sdtasdt0(all_29_2_49, xm) = all_370_1_166 & sdtasdt0(xr, all_370_1_166) = all_370_0_165 & aNaturalNumber0(all_29_2_49) = all_370_3_168 & aNaturalNumber0(xr) = all_370_4_169 & aNaturalNumber0(xm) = all_370_2_167 & ( ~ (all_370_2_167 = 0) | ~ (all_370_3_168 = 0) | ~ (all_370_4_169 = 0) | all_370_0_165 = all_0_9_9)
% 84.99/44.37 |
% 84.99/44.37 | Applying alpha-rule on (809) yields:
% 84.99/44.37 | (810) sdtasdt0(xr, all_370_1_166) = all_370_0_165
% 84.99/44.37 | (811) sdtasdt0(all_29_2_49, xm) = all_370_1_166
% 84.99/44.37 | (812) aNaturalNumber0(xm) = all_370_2_167
% 84.99/44.37 | (813) ~ (all_370_2_167 = 0) | ~ (all_370_3_168 = 0) | ~ (all_370_4_169 = 0) | all_370_0_165 = all_0_9_9
% 84.99/44.37 | (814) aNaturalNumber0(all_29_2_49) = all_370_3_168
% 84.99/44.37 | (815) aNaturalNumber0(xr) = all_370_4_169
% 84.99/44.37 |
% 84.99/44.38 | Instantiating (726) with all_372_0_170, all_372_1_171, all_372_2_172 yields:
% 84.99/44.38 | (816) sdtasdt0(all_38_2_66, xr) = all_372_0_170 & aNaturalNumber0(all_38_2_66) = all_372_1_171 & aNaturalNumber0(xr) = all_372_2_172 & ( ~ (all_372_1_171 = 0) | ~ (all_372_2_172 = 0) | all_372_0_170 = all_0_9_9)
% 84.99/44.38 |
% 84.99/44.38 | Applying alpha-rule on (816) yields:
% 84.99/44.38 | (817) sdtasdt0(all_38_2_66, xr) = all_372_0_170
% 84.99/44.38 | (818) aNaturalNumber0(all_38_2_66) = all_372_1_171
% 84.99/44.38 | (819) aNaturalNumber0(xr) = all_372_2_172
% 84.99/44.38 | (820) ~ (all_372_1_171 = 0) | ~ (all_372_2_172 = 0) | all_372_0_170 = all_0_9_9
% 84.99/44.38 |
% 84.99/44.38 | Instantiating (745) with all_374_0_173, all_374_1_174, all_374_2_175 yields:
% 84.99/44.38 | (821) aNaturalNumber0(all_277_0_132) = all_374_0_173 & aNaturalNumber0(all_277_1_133) = all_374_1_174 & aNaturalNumber0(xp) = all_374_2_175 & ( ~ (all_374_1_174 = 0) | ~ (all_374_2_175 = 0) | all_374_0_173 = 0)
% 84.99/44.38 |
% 84.99/44.38 | Applying alpha-rule on (821) yields:
% 84.99/44.38 | (822) aNaturalNumber0(all_277_0_132) = all_374_0_173
% 84.99/44.38 | (823) aNaturalNumber0(all_277_1_133) = all_374_1_174
% 84.99/44.38 | (824) aNaturalNumber0(xp) = all_374_2_175
% 84.99/44.38 | (825) ~ (all_374_1_174 = 0) | ~ (all_374_2_175 = 0) | all_374_0_173 = 0
% 84.99/44.38 |
% 84.99/44.38 | Instantiating (743) with all_376_0_176, all_376_1_177, all_376_2_178, all_376_3_179, all_376_4_180 yields:
% 84.99/44.38 | (826) sdtasdt0(all_27_2_43, xp) = all_376_1_177 & sdtasdt0(xr, all_376_1_177) = all_376_0_176 & aNaturalNumber0(all_27_2_43) = all_376_3_179 & aNaturalNumber0(xr) = all_376_4_180 & aNaturalNumber0(xp) = all_376_2_178 & ( ~ (all_376_2_178 = 0) | ~ (all_376_3_179 = 0) | ~ (all_376_4_180 = 0) | all_376_0_176 = all_0_9_9)
% 84.99/44.38 |
% 84.99/44.38 | Applying alpha-rule on (826) yields:
% 84.99/44.38 | (827) sdtasdt0(xr, all_376_1_177) = all_376_0_176
% 84.99/44.38 | (828) aNaturalNumber0(xr) = all_376_4_180
% 84.99/44.38 | (829) sdtasdt0(all_27_2_43, xp) = all_376_1_177
% 84.99/44.38 | (830) ~ (all_376_2_178 = 0) | ~ (all_376_3_179 = 0) | ~ (all_376_4_180 = 0) | all_376_0_176 = all_0_9_9
% 84.99/44.38 | (831) aNaturalNumber0(xp) = all_376_2_178
% 84.99/44.38 | (832) aNaturalNumber0(all_27_2_43) = all_376_3_179
% 84.99/44.38 |
% 84.99/44.38 | Instantiating (775) with all_378_0_181, all_378_1_182, all_378_2_183 yields:
% 84.99/44.38 | (833) sdtpldt0(all_55_2_99, xn) = all_378_0_181 & aNaturalNumber0(all_55_2_99) = all_378_1_182 & aNaturalNumber0(xn) = all_378_2_183 & ( ~ (all_378_1_182 = 0) | ~ (all_378_2_183 = 0) | all_378_0_181 = xp)
% 84.99/44.38 |
% 84.99/44.38 | Applying alpha-rule on (833) yields:
% 84.99/44.38 | (834) sdtpldt0(all_55_2_99, xn) = all_378_0_181
% 84.99/44.38 | (835) aNaturalNumber0(all_55_2_99) = all_378_1_182
% 84.99/44.38 | (836) aNaturalNumber0(xn) = all_378_2_183
% 84.99/44.38 | (837) ~ (all_378_1_182 = 0) | ~ (all_378_2_183 = 0) | all_378_0_181 = xp
% 84.99/44.38 |
% 84.99/44.38 | Instantiating (774) with all_380_0_184, all_380_1_185, all_380_2_186, all_380_3_187, all_380_4_188 yields:
% 84.99/44.38 | (838) sdtpldt0(all_55_2_99, all_0_11_11) = all_380_1_185 & sdtpldt0(xn, all_380_1_185) = all_380_0_184 & aNaturalNumber0(all_55_2_99) = all_380_3_187 & aNaturalNumber0(all_0_11_11) = all_380_2_186 & aNaturalNumber0(xn) = all_380_4_188 & ( ~ (all_380_2_186 = 0) | ~ (all_380_3_187 = 0) | ~ (all_380_4_188 = 0) | all_380_0_184 = all_0_10_10)
% 84.99/44.38 |
% 84.99/44.38 | Applying alpha-rule on (838) yields:
% 84.99/44.38 | (839) aNaturalNumber0(xn) = all_380_4_188
% 84.99/44.38 | (840) sdtpldt0(xn, all_380_1_185) = all_380_0_184
% 84.99/44.38 | (841) aNaturalNumber0(all_55_2_99) = all_380_3_187
% 84.99/44.38 | (842) ~ (all_380_2_186 = 0) | ~ (all_380_3_187 = 0) | ~ (all_380_4_188 = 0) | all_380_0_184 = all_0_10_10
% 84.99/44.38 | (843) aNaturalNumber0(all_0_11_11) = all_380_2_186
% 84.99/44.38 | (844) sdtpldt0(all_55_2_99, all_0_11_11) = all_380_1_185
% 84.99/44.38 |
% 84.99/44.38 | Instantiating (773) with all_382_0_189, all_382_1_190, all_382_2_191, all_382_3_192, all_382_4_193, all_382_5_194, all_382_6_195, all_382_7_196, all_382_8_197 yields:
% 84.99/44.38 | (845) isPrime0(all_0_11_11) = all_382_5_194 & doDivides0(all_0_11_11, all_382_4_193) = all_382_3_192 & doDivides0(all_0_11_11, all_55_2_99) = all_382_0_189 & doDivides0(all_0_11_11, xn) = all_382_1_190 & iLess0(all_0_10_10, all_0_10_10) = all_382_2_191 & sdtasdt0(xn, all_55_2_99) = all_382_4_193 & aNaturalNumber0(all_55_2_99) = all_382_7_196 & aNaturalNumber0(all_0_11_11) = all_382_6_195 & aNaturalNumber0(xn) = all_382_8_197 & ( ~ (all_382_2_191 = 0) | ~ (all_382_3_192 = 0) | ~ (all_382_5_194 = 0) | ~ (all_382_6_195 = 0) | ~ (all_382_7_196 = 0) | ~ (all_382_8_197 = 0) | all_382_0_189 = 0 | all_382_1_190 = 0)
% 84.99/44.38 |
% 84.99/44.38 | Applying alpha-rule on (845) yields:
% 84.99/44.38 | (846) ~ (all_382_2_191 = 0) | ~ (all_382_3_192 = 0) | ~ (all_382_5_194 = 0) | ~ (all_382_6_195 = 0) | ~ (all_382_7_196 = 0) | ~ (all_382_8_197 = 0) | all_382_0_189 = 0 | all_382_1_190 = 0
% 84.99/44.38 | (847) doDivides0(all_0_11_11, all_55_2_99) = all_382_0_189
% 84.99/44.38 | (848) iLess0(all_0_10_10, all_0_10_10) = all_382_2_191
% 84.99/44.38 | (849) doDivides0(all_0_11_11, all_382_4_193) = all_382_3_192
% 84.99/44.38 | (850) sdtasdt0(xn, all_55_2_99) = all_382_4_193
% 84.99/44.38 | (851) aNaturalNumber0(all_55_2_99) = all_382_7_196
% 84.99/44.38 | (852) aNaturalNumber0(xn) = all_382_8_197
% 84.99/44.38 | (853) isPrime0(all_0_11_11) = all_382_5_194
% 84.99/44.38 | (854) doDivides0(all_0_11_11, xn) = all_382_1_190
% 84.99/44.38 | (855) aNaturalNumber0(all_0_11_11) = all_382_6_195
% 84.99/44.38 |
% 84.99/44.38 | Instantiating (769) with all_384_0_198, all_384_1_199, all_384_2_200, all_384_3_201, all_384_4_202 yields:
% 84.99/44.38 | (856) sdtpldt0(xm, all_384_1_199) = all_384_0_198 & sdtpldt0(xn, xp) = all_384_1_199 & aNaturalNumber0(xp) = all_384_2_200 & aNaturalNumber0(xm) = all_384_4_202 & aNaturalNumber0(xn) = all_384_3_201 & ( ~ (all_384_2_200 = 0) | ~ (all_384_3_201 = 0) | ~ (all_384_4_202 = 0) | all_384_0_198 = all_0_10_10)
% 84.99/44.38 |
% 84.99/44.38 | Applying alpha-rule on (856) yields:
% 84.99/44.38 | (857) ~ (all_384_2_200 = 0) | ~ (all_384_3_201 = 0) | ~ (all_384_4_202 = 0) | all_384_0_198 = all_0_10_10
% 84.99/44.38 | (858) sdtpldt0(xm, all_384_1_199) = all_384_0_198
% 84.99/44.38 | (859) aNaturalNumber0(xn) = all_384_3_201
% 84.99/44.38 | (860) aNaturalNumber0(xp) = all_384_2_200
% 84.99/44.38 | (861) aNaturalNumber0(xm) = all_384_4_202
% 84.99/44.38 | (862) sdtpldt0(xn, xp) = all_384_1_199
% 84.99/44.38 |
% 84.99/44.38 | Instantiating (768) with all_386_0_203, all_386_1_204, all_386_2_205, all_386_3_206, all_386_4_207, all_386_5_208, all_386_6_209, all_386_7_210, all_386_8_211 yields:
% 84.99/44.38 | (863) isPrime0(xp) = all_386_5_208 & doDivides0(xp, all_386_4_207) = all_386_3_206 & doDivides0(xp, xm) = all_386_1_204 & doDivides0(xp, xn) = all_386_0_203 & iLess0(all_0_10_10, all_0_10_10) = all_386_2_205 & sdtasdt0(xm, xn) = all_386_4_207 & aNaturalNumber0(xp) = all_386_6_209 & aNaturalNumber0(xm) = all_386_8_211 & aNaturalNumber0(xn) = all_386_7_210 & ( ~ (all_386_2_205 = 0) | ~ (all_386_3_206 = 0) | ~ (all_386_5_208 = 0) | ~ (all_386_6_209 = 0) | ~ (all_386_7_210 = 0) | ~ (all_386_8_211 = 0) | all_386_0_203 = 0 | all_386_1_204 = 0)
% 84.99/44.38 |
% 84.99/44.38 | Applying alpha-rule on (863) yields:
% 84.99/44.38 | (864) doDivides0(xp, all_386_4_207) = all_386_3_206
% 84.99/44.38 | (865) aNaturalNumber0(xn) = all_386_7_210
% 84.99/44.38 | (866) ~ (all_386_2_205 = 0) | ~ (all_386_3_206 = 0) | ~ (all_386_5_208 = 0) | ~ (all_386_6_209 = 0) | ~ (all_386_7_210 = 0) | ~ (all_386_8_211 = 0) | all_386_0_203 = 0 | all_386_1_204 = 0
% 84.99/44.38 | (867) aNaturalNumber0(xp) = all_386_6_209
% 84.99/44.38 | (868) isPrime0(xp) = all_386_5_208
% 84.99/44.38 | (869) iLess0(all_0_10_10, all_0_10_10) = all_386_2_205
% 84.99/44.38 | (870) doDivides0(xp, xn) = all_386_0_203
% 84.99/44.38 | (871) aNaturalNumber0(xm) = all_386_8_211
% 84.99/44.38 | (872) sdtasdt0(xm, xn) = all_386_4_207
% 84.99/44.38 | (873) doDivides0(xp, xm) = all_386_1_204
% 84.99/44.38 |
% 84.99/44.38 | Instantiating (765) with all_388_0_212, all_388_1_213, all_388_2_214 yields:
% 84.99/44.38 | (874) sdtpldt0(all_58_2_105, xm) = all_388_0_212 & aNaturalNumber0(all_58_2_105) = all_388_1_213 & aNaturalNumber0(xm) = all_388_2_214 & ( ~ (all_388_1_213 = 0) | ~ (all_388_2_214 = 0) | all_388_0_212 = xp)
% 84.99/44.38 |
% 84.99/44.38 | Applying alpha-rule on (874) yields:
% 84.99/44.38 | (875) sdtpldt0(all_58_2_105, xm) = all_388_0_212
% 84.99/44.38 | (876) aNaturalNumber0(all_58_2_105) = all_388_1_213
% 84.99/44.38 | (877) aNaturalNumber0(xm) = all_388_2_214
% 84.99/44.38 | (878) ~ (all_388_1_213 = 0) | ~ (all_388_2_214 = 0) | all_388_0_212 = xp
% 84.99/44.38 |
% 84.99/44.38 | Instantiating (761) with all_390_0_215, all_390_1_216, all_390_2_217, all_390_3_218, all_390_4_219 yields:
% 84.99/44.38 | (879) sdtpldt0(all_24_2_34, all_0_11_11) = all_390_1_216 & sdtpldt0(xk, all_390_1_216) = all_390_0_215 & aNaturalNumber0(all_24_2_34) = all_390_3_218 & aNaturalNumber0(all_0_11_11) = all_390_2_217 & aNaturalNumber0(xk) = all_390_4_219 & ( ~ (all_390_2_217 = 0) | ~ (all_390_3_218 = 0) | ~ (all_390_4_219 = 0) | all_390_0_215 = all_0_10_10)
% 84.99/44.39 |
% 84.99/44.39 | Applying alpha-rule on (879) yields:
% 84.99/44.39 | (880) aNaturalNumber0(xk) = all_390_4_219
% 84.99/44.39 | (881) aNaturalNumber0(all_24_2_34) = all_390_3_218
% 84.99/44.39 | (882) sdtpldt0(xk, all_390_1_216) = all_390_0_215
% 84.99/44.39 | (883) ~ (all_390_2_217 = 0) | ~ (all_390_3_218 = 0) | ~ (all_390_4_219 = 0) | all_390_0_215 = all_0_10_10
% 84.99/44.39 | (884) sdtpldt0(all_24_2_34, all_0_11_11) = all_390_1_216
% 84.99/44.39 | (885) aNaturalNumber0(all_0_11_11) = all_390_2_217
% 84.99/44.39 |
% 84.99/44.39 | Instantiating (764) with all_392_0_220, all_392_1_221, all_392_2_222, all_392_3_223, all_392_4_224 yields:
% 84.99/44.39 | (886) sdtpldt0(all_58_2_105, all_0_11_11) = all_392_1_221 & sdtpldt0(xm, all_392_1_221) = all_392_0_220 & aNaturalNumber0(all_58_2_105) = all_392_3_223 & aNaturalNumber0(all_0_11_11) = all_392_2_222 & aNaturalNumber0(xm) = all_392_4_224 & ( ~ (all_392_2_222 = 0) | ~ (all_392_3_223 = 0) | ~ (all_392_4_224 = 0) | all_392_0_220 = all_0_10_10)
% 84.99/44.39 |
% 84.99/44.39 | Applying alpha-rule on (886) yields:
% 84.99/44.39 | (887) aNaturalNumber0(all_58_2_105) = all_392_3_223
% 84.99/44.39 | (888) sdtpldt0(xm, all_392_1_221) = all_392_0_220
% 84.99/44.39 | (889) aNaturalNumber0(xm) = all_392_4_224
% 84.99/44.39 | (890) sdtpldt0(all_58_2_105, all_0_11_11) = all_392_1_221
% 84.99/44.39 | (891) aNaturalNumber0(all_0_11_11) = all_392_2_222
% 84.99/44.39 | (892) ~ (all_392_2_222 = 0) | ~ (all_392_3_223 = 0) | ~ (all_392_4_224 = 0) | all_392_0_220 = all_0_10_10
% 84.99/44.39 |
% 84.99/44.39 | Instantiating (763) with all_394_0_225, all_394_1_226, all_394_2_227, all_394_3_228, all_394_4_229, all_394_5_230, all_394_6_231, all_394_7_232, all_394_8_233 yields:
% 84.99/44.39 | (893) isPrime0(all_0_11_11) = all_394_5_230 & doDivides0(all_0_11_11, all_394_4_229) = all_394_3_228 & doDivides0(all_0_11_11, all_58_2_105) = all_394_0_225 & doDivides0(all_0_11_11, xm) = all_394_1_226 & iLess0(all_0_10_10, all_0_10_10) = all_394_2_227 & sdtasdt0(xm, all_58_2_105) = all_394_4_229 & aNaturalNumber0(all_58_2_105) = all_394_7_232 & aNaturalNumber0(all_0_11_11) = all_394_6_231 & aNaturalNumber0(xm) = all_394_8_233 & ( ~ (all_394_2_227 = 0) | ~ (all_394_3_228 = 0) | ~ (all_394_5_230 = 0) | ~ (all_394_6_231 = 0) | ~ (all_394_7_232 = 0) | ~ (all_394_8_233 = 0) | all_394_0_225 = 0 | all_394_1_226 = 0)
% 84.99/44.39 |
% 84.99/44.39 | Applying alpha-rule on (893) yields:
% 84.99/44.39 | (894) ~ (all_394_2_227 = 0) | ~ (all_394_3_228 = 0) | ~ (all_394_5_230 = 0) | ~ (all_394_6_231 = 0) | ~ (all_394_7_232 = 0) | ~ (all_394_8_233 = 0) | all_394_0_225 = 0 | all_394_1_226 = 0
% 84.99/44.39 | (895) aNaturalNumber0(all_0_11_11) = all_394_6_231
% 84.99/44.39 | (896) sdtasdt0(xm, all_58_2_105) = all_394_4_229
% 84.99/44.39 | (897) aNaturalNumber0(all_58_2_105) = all_394_7_232
% 84.99/44.39 | (898) aNaturalNumber0(xm) = all_394_8_233
% 84.99/44.39 | (899) iLess0(all_0_10_10, all_0_10_10) = all_394_2_227
% 84.99/44.39 | (900) doDivides0(all_0_11_11, all_58_2_105) = all_394_0_225
% 84.99/44.39 | (901) doDivides0(all_0_11_11, xm) = all_394_1_226
% 84.99/44.39 | (902) isPrime0(all_0_11_11) = all_394_5_230
% 84.99/44.39 | (903) doDivides0(all_0_11_11, all_394_4_229) = all_394_3_228
% 84.99/44.39 |
% 84.99/44.39 | Instantiating (767) with all_396_0_234, all_396_1_235, all_396_2_236 yields:
% 84.99/44.39 | (904) aNaturalNumber0(all_14_1_16) = all_396_0_234 & aNaturalNumber0(xp) = all_396_1_235 & aNaturalNumber0(xm) = all_396_2_236 & ( ~ (all_396_1_235 = 0) | ~ (all_396_2_236 = 0) | all_396_0_234 = 0)
% 84.99/44.39 |
% 84.99/44.39 | Applying alpha-rule on (904) yields:
% 84.99/44.39 | (905) aNaturalNumber0(all_14_1_16) = all_396_0_234
% 84.99/44.39 | (906) aNaturalNumber0(xp) = all_396_1_235
% 84.99/44.39 | (907) aNaturalNumber0(xm) = all_396_2_236
% 84.99/44.39 | (908) ~ (all_396_1_235 = 0) | ~ (all_396_2_236 = 0) | all_396_0_234 = 0
% 84.99/44.39 |
% 84.99/44.39 | Instantiating (766) with all_398_0_237, all_398_1_238, all_398_2_239 yields:
% 84.99/44.39 | (909) sdtpldt0(xp, xm) = all_398_0_237 & aNaturalNumber0(xp) = all_398_1_238 & aNaturalNumber0(xm) = all_398_2_239 & ( ~ (all_398_1_238 = 0) | ~ (all_398_2_239 = 0) | all_398_0_237 = all_14_1_16)
% 84.99/44.39 |
% 84.99/44.39 | Applying alpha-rule on (909) yields:
% 84.99/44.39 | (910) sdtpldt0(xp, xm) = all_398_0_237
% 84.99/44.39 | (911) aNaturalNumber0(xp) = all_398_1_238
% 84.99/44.39 | (912) aNaturalNumber0(xm) = all_398_2_239
% 84.99/44.39 | (913) ~ (all_398_1_238 = 0) | ~ (all_398_2_239 = 0) | all_398_0_237 = all_14_1_16
% 84.99/44.39 |
% 84.99/44.39 | Instantiating (772) with all_400_0_240, all_400_1_241, all_400_2_242, all_400_3_243, all_400_4_244 yields:
% 84.99/44.39 | (914) doDivides0(all_88_0_118, all_55_2_99) = all_400_0_240 & doDivides0(all_88_0_118, xn) = all_400_1_241 & aNaturalNumber0(all_88_0_118) = all_400_4_244 & aNaturalNumber0(all_55_2_99) = all_400_2_242 & aNaturalNumber0(xn) = all_400_3_243 & ( ~ (all_400_1_241 = 0) | ~ (all_400_2_242 = 0) | ~ (all_400_3_243 = 0) | ~ (all_400_4_244 = 0) | all_400_0_240 = 0)
% 84.99/44.39 |
% 84.99/44.39 | Applying alpha-rule on (914) yields:
% 84.99/44.39 | (915) aNaturalNumber0(xn) = all_400_3_243
% 84.99/44.39 | (916) aNaturalNumber0(all_88_0_118) = all_400_4_244
% 84.99/44.39 | (917) ~ (all_400_1_241 = 0) | ~ (all_400_2_242 = 0) | ~ (all_400_3_243 = 0) | ~ (all_400_4_244 = 0) | all_400_0_240 = 0
% 84.99/44.39 | (918) doDivides0(all_88_0_118, all_55_2_99) = all_400_0_240
% 84.99/44.39 | (919) aNaturalNumber0(all_55_2_99) = all_400_2_242
% 84.99/44.39 | (920) doDivides0(all_88_0_118, xn) = all_400_1_241
% 84.99/44.39 |
% 84.99/44.39 | Instantiating (760) with all_402_0_245, all_402_1_246, all_402_2_247, all_402_3_248, all_402_4_249, all_402_5_250, all_402_6_251, all_402_7_252, all_402_8_253 yields:
% 84.99/44.39 | (921) isPrime0(all_0_11_11) = all_402_5_250 & doDivides0(all_0_11_11, all_402_4_249) = all_402_3_248 & doDivides0(all_0_11_11, all_24_2_34) = all_402_0_245 & doDivides0(all_0_11_11, xk) = all_402_1_246 & iLess0(all_0_10_10, all_0_10_10) = all_402_2_247 & sdtasdt0(xk, all_24_2_34) = all_402_4_249 & aNaturalNumber0(all_24_2_34) = all_402_7_252 & aNaturalNumber0(all_0_11_11) = all_402_6_251 & aNaturalNumber0(xk) = all_402_8_253 & ( ~ (all_402_2_247 = 0) | ~ (all_402_3_248 = 0) | ~ (all_402_5_250 = 0) | ~ (all_402_6_251 = 0) | ~ (all_402_7_252 = 0) | ~ (all_402_8_253 = 0) | all_402_0_245 = 0 | all_402_1_246 = 0)
% 84.99/44.39 |
% 84.99/44.39 | Applying alpha-rule on (921) yields:
% 84.99/44.39 | (922) sdtasdt0(xk, all_24_2_34) = all_402_4_249
% 84.99/44.39 | (923) ~ (all_402_2_247 = 0) | ~ (all_402_3_248 = 0) | ~ (all_402_5_250 = 0) | ~ (all_402_6_251 = 0) | ~ (all_402_7_252 = 0) | ~ (all_402_8_253 = 0) | all_402_0_245 = 0 | all_402_1_246 = 0
% 84.99/44.39 | (924) aNaturalNumber0(all_24_2_34) = all_402_7_252
% 84.99/44.39 | (925) doDivides0(all_0_11_11, all_24_2_34) = all_402_0_245
% 84.99/44.39 | (926) isPrime0(all_0_11_11) = all_402_5_250
% 84.99/44.39 | (927) aNaturalNumber0(xk) = all_402_8_253
% 84.99/44.39 | (928) iLess0(all_0_10_10, all_0_10_10) = all_402_2_247
% 84.99/44.39 | (929) doDivides0(all_0_11_11, all_402_4_249) = all_402_3_248
% 84.99/44.39 | (930) doDivides0(all_0_11_11, xk) = all_402_1_246
% 84.99/44.39 | (931) aNaturalNumber0(all_0_11_11) = all_402_6_251
% 84.99/44.39 |
% 84.99/44.39 | Instantiating (759) with all_404_0_254, all_404_1_255, all_404_2_256 yields:
% 84.99/44.39 | (932) sdtpldt0(all_24_2_34, xk) = all_404_0_254 & aNaturalNumber0(all_24_2_34) = all_404_1_255 & aNaturalNumber0(xk) = all_404_2_256 & ( ~ (all_404_1_255 = 0) | ~ (all_404_2_256 = 0) | all_404_0_254 = xp)
% 84.99/44.39 |
% 84.99/44.39 | Applying alpha-rule on (932) yields:
% 84.99/44.39 | (933) sdtpldt0(all_24_2_34, xk) = all_404_0_254
% 84.99/44.39 | (934) aNaturalNumber0(all_24_2_34) = all_404_1_255
% 84.99/44.39 | (935) aNaturalNumber0(xk) = all_404_2_256
% 84.99/44.39 | (936) ~ (all_404_1_255 = 0) | ~ (all_404_2_256 = 0) | all_404_0_254 = xp
% 84.99/44.39 |
% 84.99/44.39 | Instantiating (756) with all_406_0_257, all_406_1_258, all_406_2_259, all_406_3_260, all_406_4_261 yields:
% 84.99/44.39 | (937) doDivides0(all_88_0_118, all_24_2_34) = all_406_0_257 & doDivides0(all_88_0_118, xk) = all_406_1_258 & aNaturalNumber0(all_88_0_118) = all_406_4_261 & aNaturalNumber0(all_24_2_34) = all_406_2_259 & aNaturalNumber0(xk) = all_406_3_260 & ( ~ (all_406_1_258 = 0) | ~ (all_406_2_259 = 0) | ~ (all_406_3_260 = 0) | ~ (all_406_4_261 = 0) | all_406_0_257 = 0)
% 84.99/44.39 |
% 84.99/44.39 | Applying alpha-rule on (937) yields:
% 84.99/44.39 | (938) doDivides0(all_88_0_118, xk) = all_406_1_258
% 84.99/44.39 | (939) aNaturalNumber0(xk) = all_406_3_260
% 84.99/44.39 | (940) aNaturalNumber0(all_88_0_118) = all_406_4_261
% 84.99/44.39 | (941) aNaturalNumber0(all_24_2_34) = all_406_2_259
% 84.99/44.39 | (942) doDivides0(all_88_0_118, all_24_2_34) = all_406_0_257
% 84.99/44.39 | (943) ~ (all_406_1_258 = 0) | ~ (all_406_2_259 = 0) | ~ (all_406_3_260 = 0) | ~ (all_406_4_261 = 0) | all_406_0_257 = 0
% 84.99/44.39 |
% 84.99/44.39 | Instantiating (754) with all_408_0_262, all_408_1_263, all_408_2_264, all_408_3_265, all_408_4_266 yields:
% 84.99/44.39 | (944) doDivides0(xr, all_25_2_37) = all_408_0_262 & doDivides0(xr, xr) = all_408_1_263 & aNaturalNumber0(all_25_2_37) = all_408_2_264 & aNaturalNumber0(xr) = all_408_3_265 & aNaturalNumber0(xr) = all_408_4_266 & ( ~ (all_408_1_263 = 0) | ~ (all_408_2_264 = 0) | ~ (all_408_3_265 = 0) | ~ (all_408_4_266 = 0) | all_408_0_262 = 0)
% 84.99/44.39 |
% 84.99/44.39 | Applying alpha-rule on (944) yields:
% 84.99/44.39 | (945) aNaturalNumber0(xr) = all_408_4_266
% 84.99/44.39 | (946) doDivides0(xr, xr) = all_408_1_263
% 84.99/44.39 | (947) aNaturalNumber0(xr) = all_408_3_265
% 84.99/44.40 | (948) aNaturalNumber0(all_25_2_37) = all_408_2_264
% 84.99/44.40 | (949) ~ (all_408_1_263 = 0) | ~ (all_408_2_264 = 0) | ~ (all_408_3_265 = 0) | ~ (all_408_4_266 = 0) | all_408_0_262 = 0
% 84.99/44.40 | (950) doDivides0(xr, all_25_2_37) = all_408_0_262
% 84.99/44.40 |
% 84.99/44.40 | Instantiating (744) with all_410_0_267, all_410_1_268, all_410_2_269 yields:
% 84.99/44.40 | (951) sdtasdt0(all_277_1_133, xp) = all_410_0_267 & aNaturalNumber0(all_277_1_133) = all_410_1_268 & aNaturalNumber0(xp) = all_410_2_269 & ( ~ (all_410_1_268 = 0) | ~ (all_410_2_269 = 0) | all_410_0_267 = all_277_0_132)
% 84.99/44.40 |
% 84.99/44.40 | Applying alpha-rule on (951) yields:
% 84.99/44.40 | (952) sdtasdt0(all_277_1_133, xp) = all_410_0_267
% 84.99/44.40 | (953) aNaturalNumber0(all_277_1_133) = all_410_1_268
% 84.99/44.40 | (954) aNaturalNumber0(xp) = all_410_2_269
% 84.99/44.40 | (955) ~ (all_410_1_268 = 0) | ~ (all_410_2_269 = 0) | all_410_0_267 = all_277_0_132
% 84.99/44.40 |
% 84.99/44.40 | Instantiating (741) with all_412_0_270, all_412_1_271, all_412_2_272 yields:
% 84.99/44.40 | (956) aNaturalNumber0(all_56_0_100) = all_412_0_270 & aNaturalNumber0(all_0_4_4) = all_412_1_271 & aNaturalNumber0(xr) = all_412_2_272 & ( ~ (all_412_1_271 = 0) | ~ (all_412_2_272 = 0) | all_412_0_270 = 0)
% 84.99/44.40 |
% 84.99/44.40 | Applying alpha-rule on (956) yields:
% 84.99/44.40 | (957) aNaturalNumber0(all_56_0_100) = all_412_0_270
% 85.39/44.40 | (958) aNaturalNumber0(all_0_4_4) = all_412_1_271
% 85.39/44.40 | (959) aNaturalNumber0(xr) = all_412_2_272
% 85.39/44.40 | (960) ~ (all_412_1_271 = 0) | ~ (all_412_2_272 = 0) | all_412_0_270 = 0
% 85.39/44.40 |
% 85.39/44.40 | Instantiating (740) with all_414_0_273, all_414_1_274, all_414_2_275 yields:
% 85.39/44.40 | (961) sdtasdt0(all_0_4_4, xr) = all_414_0_273 & aNaturalNumber0(all_0_4_4) = all_414_1_274 & aNaturalNumber0(xr) = all_414_2_275 & ( ~ (all_414_1_274 = 0) | ~ (all_414_2_275 = 0) | all_414_0_273 = all_56_0_100)
% 85.39/44.40 |
% 85.39/44.40 | Applying alpha-rule on (961) yields:
% 85.39/44.40 | (962) sdtasdt0(all_0_4_4, xr) = all_414_0_273
% 85.39/44.40 | (963) aNaturalNumber0(all_0_4_4) = all_414_1_274
% 85.39/44.40 | (964) aNaturalNumber0(xr) = all_414_2_275
% 85.39/44.40 | (965) ~ (all_414_1_274 = 0) | ~ (all_414_2_275 = 0) | all_414_0_273 = all_56_0_100
% 85.39/44.40 |
% 85.39/44.40 | Instantiating (737) with all_416_0_276, all_416_1_277, all_416_2_278 yields:
% 85.39/44.40 | (966) aNaturalNumber0(all_34_0_58) = all_416_0_276 & aNaturalNumber0(all_0_2_2) = all_416_1_277 & aNaturalNumber0(xr) = all_416_2_278 & ( ~ (all_416_1_277 = 0) | ~ (all_416_2_278 = 0) | all_416_0_276 = 0)
% 85.39/44.40 |
% 85.39/44.40 | Applying alpha-rule on (966) yields:
% 85.39/44.40 | (967) aNaturalNumber0(all_34_0_58) = all_416_0_276
% 85.39/44.40 | (968) aNaturalNumber0(all_0_2_2) = all_416_1_277
% 85.39/44.40 | (969) aNaturalNumber0(xr) = all_416_2_278
% 85.39/44.40 | (970) ~ (all_416_1_277 = 0) | ~ (all_416_2_278 = 0) | all_416_0_276 = 0
% 85.39/44.40 |
% 85.39/44.40 | Instantiating (736) with all_418_0_279, all_418_1_280, all_418_2_281 yields:
% 85.39/44.40 | (971) sdtasdt0(all_0_2_2, xr) = all_418_0_279 & aNaturalNumber0(all_0_2_2) = all_418_1_280 & aNaturalNumber0(xr) = all_418_2_281 & ( ~ (all_418_1_280 = 0) | ~ (all_418_2_281 = 0) | all_418_0_279 = all_34_0_58)
% 85.39/44.40 |
% 85.39/44.40 | Applying alpha-rule on (971) yields:
% 85.39/44.40 | (972) sdtasdt0(all_0_2_2, xr) = all_418_0_279
% 85.39/44.40 | (973) aNaturalNumber0(all_0_2_2) = all_418_1_280
% 85.39/44.40 | (974) aNaturalNumber0(xr) = all_418_2_281
% 85.39/44.40 | (975) ~ (all_418_1_280 = 0) | ~ (all_418_2_281 = 0) | all_418_0_279 = all_34_0_58
% 85.39/44.40 |
% 85.39/44.40 | Instantiating (723) with all_420_0_282, all_420_1_283, all_420_2_284 yields:
% 85.39/44.40 | (976) sdtasdt0(xp, all_0_1_1) = all_420_0_282 & aNaturalNumber0(all_0_1_1) = all_420_2_284 & aNaturalNumber0(xp) = all_420_1_283 & ( ~ (all_420_1_283 = 0) | ~ (all_420_2_284 = 0) | all_420_0_282 = all_45_0_76)
% 85.39/44.40 |
% 85.39/44.40 | Applying alpha-rule on (976) yields:
% 85.39/44.40 | (977) sdtasdt0(xp, all_0_1_1) = all_420_0_282
% 85.39/44.40 | (978) aNaturalNumber0(all_0_1_1) = all_420_2_284
% 85.39/44.40 | (979) aNaturalNumber0(xp) = all_420_1_283
% 85.39/44.40 | (980) ~ (all_420_1_283 = 0) | ~ (all_420_2_284 = 0) | all_420_0_282 = all_45_0_76
% 85.39/44.40 |
% 85.39/44.40 | Instantiating (721) with all_422_0_285, all_422_1_286, all_422_2_287 yields:
% 85.39/44.40 | (981) aNaturalNumber0(all_277_1_133) = all_422_0_285 & aNaturalNumber0(all_0_1_1) = all_422_2_287 & aNaturalNumber0(xr) = all_422_1_286 & ( ~ (all_422_1_286 = 0) | ~ (all_422_2_287 = 0) | all_422_0_285 = 0)
% 85.39/44.40 |
% 85.39/44.40 | Applying alpha-rule on (981) yields:
% 85.39/44.40 | (982) aNaturalNumber0(all_277_1_133) = all_422_0_285
% 85.39/44.40 | (983) aNaturalNumber0(all_0_1_1) = all_422_2_287
% 85.39/44.40 | (984) aNaturalNumber0(xr) = all_422_1_286
% 85.39/44.40 | (985) ~ (all_422_1_286 = 0) | ~ (all_422_2_287 = 0) | all_422_0_285 = 0
% 85.39/44.40 |
% 85.39/44.40 | Instantiating (720) with all_424_0_288, all_424_1_289, all_424_2_290 yields:
% 85.39/44.40 | (986) sdtasdt0(xr, all_0_1_1) = all_424_0_288 & aNaturalNumber0(all_0_1_1) = all_424_2_290 & aNaturalNumber0(xr) = all_424_1_289 & ( ~ (all_424_1_289 = 0) | ~ (all_424_2_290 = 0) | all_424_0_288 = all_277_1_133)
% 85.39/44.40 |
% 85.39/44.40 | Applying alpha-rule on (986) yields:
% 85.39/44.40 | (987) sdtasdt0(xr, all_0_1_1) = all_424_0_288
% 85.39/44.40 | (988) aNaturalNumber0(all_0_1_1) = all_424_2_290
% 85.39/44.40 | (989) aNaturalNumber0(xr) = all_424_1_289
% 85.39/44.40 | (990) ~ (all_424_1_289 = 0) | ~ (all_424_2_290 = 0) | all_424_0_288 = all_277_1_133
% 85.39/44.40 |
% 85.39/44.40 | Instantiating (762) with all_429_0_300, all_429_1_301, all_429_2_302, all_429_3_303, all_429_4_304 yields:
% 85.39/44.40 | (991) doDivides0(all_88_0_118, all_58_2_105) = all_429_0_300 & doDivides0(all_88_0_118, xm) = all_429_1_301 & aNaturalNumber0(all_88_0_118) = all_429_4_304 & aNaturalNumber0(all_58_2_105) = all_429_2_302 & aNaturalNumber0(xm) = all_429_3_303 & ( ~ (all_429_1_301 = 0) | ~ (all_429_2_302 = 0) | ~ (all_429_3_303 = 0) | ~ (all_429_4_304 = 0) | all_429_0_300 = 0)
% 85.39/44.40 |
% 85.39/44.40 | Applying alpha-rule on (991) yields:
% 85.39/44.40 | (992) ~ (all_429_1_301 = 0) | ~ (all_429_2_302 = 0) | ~ (all_429_3_303 = 0) | ~ (all_429_4_304 = 0) | all_429_0_300 = 0
% 85.39/44.40 | (993) aNaturalNumber0(xm) = all_429_3_303
% 85.39/44.40 | (994) aNaturalNumber0(all_58_2_105) = all_429_2_302
% 85.39/44.40 | (995) doDivides0(all_88_0_118, xm) = all_429_1_301
% 85.39/44.40 | (996) aNaturalNumber0(all_88_0_118) = all_429_4_304
% 85.39/44.40 | (997) doDivides0(all_88_0_118, all_58_2_105) = all_429_0_300
% 85.39/44.40 |
% 85.39/44.40 | Instantiating (755) with all_431_0_305, all_431_1_306, all_431_2_307 yields:
% 85.39/44.40 | (998) sdtpldt0(all_25_2_37, xr) = all_431_0_305 & aNaturalNumber0(all_25_2_37) = all_431_1_306 & aNaturalNumber0(xr) = all_431_2_307 & ( ~ (all_431_1_306 = 0) | ~ (all_431_2_307 = 0) | all_431_0_305 = xk)
% 85.39/44.40 |
% 85.39/44.40 | Applying alpha-rule on (998) yields:
% 85.39/44.40 | (999) sdtpldt0(all_25_2_37, xr) = all_431_0_305
% 85.39/44.40 | (1000) aNaturalNumber0(all_25_2_37) = all_431_1_306
% 85.39/44.40 | (1001) aNaturalNumber0(xr) = all_431_2_307
% 85.39/44.40 | (1002) ~ (all_431_1_306 = 0) | ~ (all_431_2_307 = 0) | all_431_0_305 = xk
% 85.39/44.40 |
% 85.39/44.40 | Instantiating (752) with all_433_0_308, all_433_1_309, all_433_2_310 yields:
% 85.39/44.40 | (1003) aNaturalNumber0(all_30_1_51) = all_433_0_308 & aNaturalNumber0(xr) = all_433_1_309 & aNaturalNumber0(xm) = all_433_2_310 & ( ~ (all_433_1_309 = 0) | ~ (all_433_2_310 = 0) | all_433_0_308 = 0)
% 85.39/44.40 |
% 85.39/44.40 | Applying alpha-rule on (1003) yields:
% 85.39/44.40 | (1004) aNaturalNumber0(all_30_1_51) = all_433_0_308
% 85.39/44.40 | (1005) aNaturalNumber0(xr) = all_433_1_309
% 85.39/44.40 | (1006) aNaturalNumber0(xm) = all_433_2_310
% 85.39/44.40 | (1007) ~ (all_433_1_309 = 0) | ~ (all_433_2_310 = 0) | all_433_0_308 = 0
% 85.39/44.40 |
% 85.39/44.40 | Instantiating (751) with all_435_0_311, all_435_1_312, all_435_2_313 yields:
% 85.39/44.40 | (1008) sdtasdt0(xr, xm) = all_435_0_311 & aNaturalNumber0(xr) = all_435_1_312 & aNaturalNumber0(xm) = all_435_2_313 & ( ~ (all_435_1_312 = 0) | ~ (all_435_2_313 = 0) | all_435_0_311 = all_30_1_51)
% 85.39/44.40 |
% 85.39/44.40 | Applying alpha-rule on (1008) yields:
% 85.39/44.40 | (1009) sdtasdt0(xr, xm) = all_435_0_311
% 85.39/44.40 | (1010) aNaturalNumber0(xr) = all_435_1_312
% 85.39/44.40 | (1011) aNaturalNumber0(xm) = all_435_2_313
% 85.39/44.40 | (1012) ~ (all_435_1_312 = 0) | ~ (all_435_2_313 = 0) | all_435_0_311 = all_30_1_51
% 85.39/44.40 |
% 85.39/44.40 | Instantiating (758) with all_440_0_323, all_440_1_324, all_440_2_325, all_440_3_326, all_440_4_327 yields:
% 85.39/44.40 | (1013) sdtpldt0(all_25_2_37, all_24_2_34) = all_440_1_324 & sdtpldt0(xr, all_440_1_324) = all_440_0_323 & aNaturalNumber0(all_25_2_37) = all_440_3_326 & aNaturalNumber0(all_24_2_34) = all_440_2_325 & aNaturalNumber0(xr) = all_440_4_327 & ( ~ (all_440_2_325 = 0) | ~ (all_440_3_326 = 0) | ~ (all_440_4_327 = 0) | all_440_0_323 = xp)
% 85.39/44.40 |
% 85.39/44.40 | Applying alpha-rule on (1013) yields:
% 85.39/44.40 | (1014) sdtpldt0(all_25_2_37, all_24_2_34) = all_440_1_324
% 85.39/44.40 | (1015) sdtpldt0(xr, all_440_1_324) = all_440_0_323
% 85.39/44.40 | (1016) ~ (all_440_2_325 = 0) | ~ (all_440_3_326 = 0) | ~ (all_440_4_327 = 0) | all_440_0_323 = xp
% 85.39/44.40 | (1017) aNaturalNumber0(xr) = all_440_4_327
% 85.39/44.40 | (1018) aNaturalNumber0(all_24_2_34) = all_440_2_325
% 85.39/44.40 | (1019) aNaturalNumber0(all_25_2_37) = all_440_3_326
% 85.39/44.40 |
% 85.39/44.40 | Instantiating (757) with all_442_0_328, all_442_1_329, all_442_2_330, all_442_3_331, all_442_4_332, all_442_5_333, all_442_6_334, all_442_7_335, all_442_8_336 yields:
% 85.39/44.40 | (1020) isPrime0(all_24_2_34) = all_442_5_333 & doDivides0(all_24_2_34, all_442_4_332) = all_442_3_331 & doDivides0(all_24_2_34, all_25_2_37) = all_442_0_328 & doDivides0(all_24_2_34, xr) = all_442_1_329 & iLess0(xp, all_0_10_10) = all_442_2_330 & sdtasdt0(xr, all_25_2_37) = all_442_4_332 & aNaturalNumber0(all_25_2_37) = all_442_7_335 & aNaturalNumber0(all_24_2_34) = all_442_6_334 & aNaturalNumber0(xr) = all_442_8_336 & ( ~ (all_442_2_330 = 0) | ~ (all_442_3_331 = 0) | ~ (all_442_5_333 = 0) | ~ (all_442_6_334 = 0) | ~ (all_442_7_335 = 0) | ~ (all_442_8_336 = 0) | all_442_0_328 = 0 | all_442_1_329 = 0)
% 85.39/44.40 |
% 85.39/44.40 | Applying alpha-rule on (1020) yields:
% 85.39/44.40 | (1021) aNaturalNumber0(xr) = all_442_8_336
% 85.39/44.40 | (1022) doDivides0(all_24_2_34, xr) = all_442_1_329
% 85.39/44.40 | (1023) doDivides0(all_24_2_34, all_25_2_37) = all_442_0_328
% 85.39/44.40 | (1024) doDivides0(all_24_2_34, all_442_4_332) = all_442_3_331
% 85.39/44.40 | (1025) aNaturalNumber0(all_24_2_34) = all_442_6_334
% 85.39/44.40 | (1026) aNaturalNumber0(all_25_2_37) = all_442_7_335
% 85.39/44.40 | (1027) sdtasdt0(xr, all_25_2_37) = all_442_4_332
% 85.39/44.40 | (1028) ~ (all_442_2_330 = 0) | ~ (all_442_3_331 = 0) | ~ (all_442_5_333 = 0) | ~ (all_442_6_334 = 0) | ~ (all_442_7_335 = 0) | ~ (all_442_8_336 = 0) | all_442_0_328 = 0 | all_442_1_329 = 0
% 85.39/44.40 | (1029) isPrime0(all_24_2_34) = all_442_5_333
% 85.39/44.40 | (1030) iLess0(xp, all_0_10_10) = all_442_2_330
% 85.39/44.40 |
% 85.39/44.40 | Instantiating (750) with all_444_0_337, all_444_1_338, all_444_2_339 yields:
% 85.39/44.40 | (1031) aNaturalNumber0(all_22_0_29) = all_444_0_337 & aNaturalNumber0(all_0_5_5) = all_444_1_338 & aNaturalNumber0(xm) = all_444_2_339 & ( ~ (all_444_1_338 = 0) | ~ (all_444_2_339 = 0) | all_444_0_337 = 0)
% 85.39/44.40 |
% 85.39/44.40 | Applying alpha-rule on (1031) yields:
% 85.39/44.40 | (1032) aNaturalNumber0(all_22_0_29) = all_444_0_337
% 85.39/44.40 | (1033) aNaturalNumber0(all_0_5_5) = all_444_1_338
% 85.39/44.40 | (1034) aNaturalNumber0(xm) = all_444_2_339
% 85.39/44.40 | (1035) ~ (all_444_1_338 = 0) | ~ (all_444_2_339 = 0) | all_444_0_337 = 0
% 85.39/44.40 |
% 85.39/44.40 | Instantiating (749) with all_446_0_340, all_446_1_341, all_446_2_342 yields:
% 85.39/44.40 | (1036) sdtasdt0(all_0_5_5, xm) = all_446_0_340 & aNaturalNumber0(all_0_5_5) = all_446_1_341 & aNaturalNumber0(xm) = all_446_2_342 & ( ~ (all_446_1_341 = 0) | ~ (all_446_2_342 = 0) | all_446_0_340 = all_22_0_29)
% 85.39/44.40 |
% 85.39/44.40 | Applying alpha-rule on (1036) yields:
% 85.39/44.40 | (1037) sdtasdt0(all_0_5_5, xm) = all_446_0_340
% 85.39/44.40 | (1038) aNaturalNumber0(all_0_5_5) = all_446_1_341
% 85.39/44.40 | (1039) aNaturalNumber0(xm) = all_446_2_342
% 85.39/44.40 | (1040) ~ (all_446_1_341 = 0) | ~ (all_446_2_342 = 0) | all_446_0_340 = all_22_0_29
% 85.39/44.40 |
% 85.39/44.40 +-Applying beta-rule and splitting (713), into two cases.
% 85.39/44.40 |-Branch one:
% 85.39/44.40 | (682) xn = sz00
% 85.39/44.40 |
% 85.39/44.40 | Equations (682) can reduce 667 to:
% 85.39/44.40 | (259) $false
% 85.39/44.40 |
% 85.39/44.40 |-The branch is then unsatisfiable
% 85.39/44.40 |-Branch two:
% 85.39/44.40 | (667) ~ (xn = sz00)
% 85.39/44.40 | (1044) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_331_0_140, xn) = v2 & aNaturalNumber0(all_331_0_140) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 85.39/44.40 |
% 85.39/44.40 | Instantiating (1044) with all_452_0_343, all_452_1_344, all_452_2_345 yields:
% 85.39/44.40 | (1045) sdtlseqdt0(all_331_0_140, xn) = all_452_0_343 & aNaturalNumber0(all_331_0_140) = all_452_2_345 & aNaturalNumber0(xn) = all_452_1_344 & ( ~ (all_452_1_344 = 0) | ~ (all_452_2_345 = 0) | all_452_0_343 = 0)
% 85.39/44.40 |
% 85.39/44.40 | Applying alpha-rule on (1045) yields:
% 85.39/44.40 | (1046) sdtlseqdt0(all_331_0_140, xn) = all_452_0_343
% 85.39/44.40 | (1047) aNaturalNumber0(all_331_0_140) = all_452_2_345
% 85.39/44.40 | (1048) aNaturalNumber0(xn) = all_452_1_344
% 85.39/44.40 | (1049) ~ (all_452_1_344 = 0) | ~ (all_452_2_345 = 0) | all_452_0_343 = 0
% 85.39/44.40 |
% 85.39/44.40 +-Applying beta-rule and splitting (716), into two cases.
% 85.39/44.40 |-Branch one:
% 85.39/44.40 | (258) xp = sz00
% 85.39/44.40 |
% 85.39/44.40 | Equations (258) can reduce 101 to:
% 85.39/44.40 | (259) $false
% 85.39/44.40 |
% 85.39/44.40 |-The branch is then unsatisfiable
% 85.39/44.40 |-Branch two:
% 85.39/44.41 | (101) ~ (xp = sz00)
% 85.39/44.41 | (1053) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_88_0_118, xp) = v2 & aNaturalNumber0(all_88_0_118) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 85.39/44.41 |
% 85.39/44.41 | Instantiating (1053) with all_457_0_346, all_457_1_347, all_457_2_348 yields:
% 85.39/44.41 | (1054) sdtlseqdt0(all_88_0_118, xp) = all_457_0_346 & aNaturalNumber0(all_88_0_118) = all_457_2_348 & aNaturalNumber0(xp) = all_457_1_347 & ( ~ (all_457_1_347 = 0) | ~ (all_457_2_348 = 0) | all_457_0_346 = 0)
% 85.39/44.41 |
% 85.39/44.41 | Applying alpha-rule on (1054) yields:
% 85.39/44.41 | (1055) sdtlseqdt0(all_88_0_118, xp) = all_457_0_346
% 85.39/44.41 | (1056) aNaturalNumber0(all_88_0_118) = all_457_2_348
% 85.39/44.41 | (1057) aNaturalNumber0(xp) = all_457_1_347
% 85.39/44.41 | (1058) ~ (all_457_1_347 = 0) | ~ (all_457_2_348 = 0) | all_457_0_346 = 0
% 85.39/44.41 |
% 85.39/44.41 +-Applying beta-rule and splitting (734), into two cases.
% 85.39/44.41 |-Branch one:
% 85.39/44.41 | (263) xr = sz00
% 85.39/44.41 |
% 85.39/44.41 | Equations (263) can reduce 100 to:
% 85.39/44.41 | (259) $false
% 85.39/44.41 |
% 85.39/44.41 |-The branch is then unsatisfiable
% 85.39/44.41 |-Branch two:
% 85.39/44.41 | (100) ~ (xr = sz00)
% 85.39/44.41 | (1062) ? [v0] : ? [v1] : ? [v2] : ((v0 = 0 & aNaturalNumber0(all_0_2_2) = 0) | (doDivides0(xr, all_0_9_9) = v2 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 85.39/44.41 |
% 85.39/44.41 +-Applying beta-rule and splitting (753), into two cases.
% 85.39/44.41 |-Branch one:
% 85.39/44.41 | (263) xr = sz00
% 85.39/44.41 |
% 85.39/44.41 | Equations (263) can reduce 100 to:
% 85.39/44.41 | (259) $false
% 85.39/44.41 |
% 85.39/44.41 |-The branch is then unsatisfiable
% 85.39/44.41 |-Branch two:
% 85.39/44.41 | (100) ~ (xr = sz00)
% 85.39/44.41 | (1066) ? [v0] : ? [v1] : ? [v2] : ((doDivides0(xr, xn) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) | (sdtasdt0(xm, all_0_5_5) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v0 = 0) | v1 = all_0_2_2)))
% 85.39/44.41 |
% 85.39/44.41 +-Applying beta-rule and splitting (719), into two cases.
% 85.39/44.41 |-Branch one:
% 85.39/44.41 | (1067) all_76_0_115 = 0
% 85.39/44.41 |
% 85.39/44.41 | Equations (1067) can reduce 589 to:
% 85.39/44.41 | (259) $false
% 85.39/44.41 |
% 85.39/44.41 |-The branch is then unsatisfiable
% 85.39/44.41 |-Branch two:
% 85.39/44.41 | (589) ~ (all_76_0_115 = 0)
% 85.39/44.41 | (1070) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtlseqdt0(all_0_9_9, xk) = v3 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xk) = v2 & aNaturalNumber0(xp) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 85.39/44.41 |
% 85.39/44.41 | Instantiating (1070) with all_470_0_355, all_470_1_356, all_470_2_357, all_470_3_358 yields:
% 85.39/44.41 | (1071) sdtlseqdt0(all_0_9_9, xk) = all_470_0_355 & aNaturalNumber0(all_0_9_9) = all_470_2_357 & aNaturalNumber0(xk) = all_470_1_356 & aNaturalNumber0(xp) = all_470_3_358 & ( ~ (all_470_0_355 = 0) | ~ (all_470_1_356 = 0) | ~ (all_470_2_357 = 0) | ~ (all_470_3_358 = 0))
% 85.39/44.41 |
% 85.39/44.41 | Applying alpha-rule on (1071) yields:
% 85.39/44.41 | (1072) sdtlseqdt0(all_0_9_9, xk) = all_470_0_355
% 85.39/44.41 | (1073) ~ (all_470_0_355 = 0) | ~ (all_470_1_356 = 0) | ~ (all_470_2_357 = 0) | ~ (all_470_3_358 = 0)
% 85.39/44.41 | (1074) aNaturalNumber0(xp) = all_470_3_358
% 85.39/44.41 | (1075) aNaturalNumber0(all_0_9_9) = all_470_2_357
% 85.39/44.41 | (1076) aNaturalNumber0(xk) = all_470_1_356
% 85.39/44.41 |
% 85.39/44.41 +-Applying beta-rule and splitting (715), into two cases.
% 85.39/44.41 |-Branch one:
% 85.39/44.41 | (263) xr = sz00
% 85.39/44.41 |
% 85.39/44.41 | Equations (263) can reduce 100 to:
% 85.39/44.41 | (259) $false
% 85.39/44.41 |
% 85.39/44.41 |-The branch is then unsatisfiable
% 85.39/44.41 |-Branch two:
% 85.39/44.41 | (100) ~ (xr = sz00)
% 85.39/44.41 | (1080) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_93_0_119, xr) = v2 & aNaturalNumber0(all_93_0_119) = v0 & aNaturalNumber0(xr) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 85.39/44.41 |
% 85.39/44.41 | Instantiating (1080) with all_475_0_359, all_475_1_360, all_475_2_361 yields:
% 85.39/44.41 | (1081) sdtlseqdt0(all_93_0_119, xr) = all_475_0_359 & aNaturalNumber0(all_93_0_119) = all_475_2_361 & aNaturalNumber0(xr) = all_475_1_360 & ( ~ (all_475_1_360 = 0) | ~ (all_475_2_361 = 0) | all_475_0_359 = 0)
% 85.39/44.41 |
% 85.39/44.41 | Applying alpha-rule on (1081) yields:
% 85.39/44.41 | (1082) sdtlseqdt0(all_93_0_119, xr) = all_475_0_359
% 85.39/44.41 | (1083) aNaturalNumber0(all_93_0_119) = all_475_2_361
% 85.39/44.41 | (1084) aNaturalNumber0(xr) = all_475_1_360
% 85.39/44.41 | (1085) ~ (all_475_1_360 = 0) | ~ (all_475_2_361 = 0) | all_475_0_359 = 0
% 85.39/44.41 |
% 85.39/44.41 +-Applying beta-rule and splitting (717), into two cases.
% 85.39/44.41 |-Branch one:
% 85.39/44.41 | (1086) all_0_7_7 = 0
% 85.39/44.41 |
% 85.39/44.41 | Equations (1086) can reduce 12 to:
% 85.39/44.41 | (259) $false
% 85.39/44.41 |
% 85.39/44.41 |-The branch is then unsatisfiable
% 85.39/44.41 |-Branch two:
% 85.39/44.41 | (12) ~ (all_0_7_7 = 0)
% 85.39/44.41 | (1089) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtlseqdt0(all_0_9_9, xm) = v3 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 85.39/44.41 |
% 85.39/44.41 | Instantiating (1089) with all_480_0_362, all_480_1_363, all_480_2_364, all_480_3_365 yields:
% 85.39/44.41 | (1090) sdtlseqdt0(all_0_9_9, xm) = all_480_0_362 & aNaturalNumber0(all_0_9_9) = all_480_2_364 & aNaturalNumber0(xp) = all_480_3_365 & aNaturalNumber0(xm) = all_480_1_363 & ( ~ (all_480_0_362 = 0) | ~ (all_480_1_363 = 0) | ~ (all_480_2_364 = 0) | ~ (all_480_3_365 = 0))
% 85.39/44.41 |
% 85.39/44.41 | Applying alpha-rule on (1090) yields:
% 85.39/44.41 | (1091) aNaturalNumber0(all_0_9_9) = all_480_2_364
% 85.39/44.41 | (1092) aNaturalNumber0(xm) = all_480_1_363
% 85.39/44.41 | (1093) sdtlseqdt0(all_0_9_9, xm) = all_480_0_362
% 85.39/44.41 | (1094) aNaturalNumber0(xp) = all_480_3_365
% 85.39/44.41 | (1095) ~ (all_480_0_362 = 0) | ~ (all_480_1_363 = 0) | ~ (all_480_2_364 = 0) | ~ (all_480_3_365 = 0)
% 85.39/44.41 |
% 85.39/44.41 +-Applying beta-rule and splitting (718), into two cases.
% 85.39/44.41 |-Branch one:
% 85.39/44.41 | (1096) all_0_8_8 = 0
% 85.39/44.41 |
% 85.39/44.41 | Equations (1096) can reduce 66 to:
% 85.39/44.41 | (259) $false
% 85.39/44.41 |
% 85.39/44.41 |-The branch is then unsatisfiable
% 85.39/44.41 |-Branch two:
% 85.39/44.41 | (66) ~ (all_0_8_8 = 0)
% 85.39/44.41 | (1099) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtlseqdt0(all_0_9_9, xn) = v3 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xn) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 85.39/44.41 |
% 85.39/44.41 | Instantiating (1099) with all_485_0_366, all_485_1_367, all_485_2_368, all_485_3_369 yields:
% 85.39/44.41 | (1100) sdtlseqdt0(all_0_9_9, xn) = all_485_0_366 & aNaturalNumber0(all_0_9_9) = all_485_2_368 & aNaturalNumber0(xp) = all_485_3_369 & aNaturalNumber0(xn) = all_485_1_367 & ( ~ (all_485_0_366 = 0) | ~ (all_485_1_367 = 0) | ~ (all_485_2_368 = 0) | ~ (all_485_3_369 = 0))
% 85.39/44.41 |
% 85.39/44.41 | Applying alpha-rule on (1100) yields:
% 85.39/44.41 | (1101) ~ (all_485_0_366 = 0) | ~ (all_485_1_367 = 0) | ~ (all_485_2_368 = 0) | ~ (all_485_3_369 = 0)
% 85.39/44.41 | (1102) aNaturalNumber0(all_0_9_9) = all_485_2_368
% 85.39/44.41 | (1103) sdtlseqdt0(all_0_9_9, xn) = all_485_0_366
% 85.39/44.41 | (1104) aNaturalNumber0(xp) = all_485_3_369
% 85.39/44.41 | (1105) aNaturalNumber0(xn) = all_485_1_367
% 85.39/44.41 |
% 85.39/44.41 +-Applying beta-rule and splitting (778), into two cases.
% 85.39/44.41 |-Branch one:
% 85.39/44.41 | (1106) all_93_0_119 = sz00
% 85.39/44.41 |
% 85.39/44.41 | Equations (1106) can reduce 311 to:
% 85.39/44.41 | (259) $false
% 85.39/44.41 |
% 85.39/44.41 |-The branch is then unsatisfiable
% 85.39/44.41 |-Branch two:
% 85.39/44.41 | (311) ~ (all_93_0_119 = sz00)
% 85.39/44.41 | (1109) all_93_0_119 = sz10 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, all_93_0_119) = 0 & aNaturalNumber0(v0) = 0)
% 85.39/44.41 |
% 85.39/44.41 +-Applying beta-rule and splitting (1109), into two cases.
% 85.39/44.41 |-Branch one:
% 85.39/44.41 | (1110) all_93_0_119 = sz10
% 85.39/44.41 |
% 85.39/44.41 | Equations (1110) can reduce 310 to:
% 85.39/44.41 | (259) $false
% 85.39/44.41 |
% 85.39/44.41 |-The branch is then unsatisfiable
% 85.39/44.41 |-Branch two:
% 85.39/44.41 | (310) ~ (all_93_0_119 = sz10)
% 85.39/44.41 | (1113) ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, all_93_0_119) = 0 & aNaturalNumber0(v0) = 0)
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (10) with all_0_1_1, xp, all_376_1_177, all_45_0_76 and discharging atoms sdtasdt0(all_0_1_1, xp) = all_45_0_76, yields:
% 85.39/44.41 | (1114) all_376_1_177 = all_45_0_76 | ~ (sdtasdt0(all_0_1_1, xp) = all_376_1_177)
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (10) with all_0_4_4, xr, all_414_0_273, all_0_9_9 and discharging atoms sdtasdt0(all_0_4_4, xr) = all_414_0_273, sdtasdt0(all_0_4_4, xr) = all_0_9_9, yields:
% 85.39/44.41 | (1115) all_414_0_273 = all_0_9_9
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (10) with xr, all_0_1_1, all_424_0_288, xk and discharging atoms sdtasdt0(xr, all_0_1_1) = all_424_0_288, yields:
% 85.39/44.41 | (1116) all_424_0_288 = xk | ~ (sdtasdt0(xr, all_0_1_1) = xk)
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (10) with xp, all_0_1_1, all_420_0_282, all_0_2_2 and discharging atoms sdtasdt0(xp, all_0_1_1) = all_420_0_282, sdtasdt0(xp, all_0_1_1) = all_0_2_2, yields:
% 85.39/44.41 | (1117) all_420_0_282 = all_0_2_2
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with all_93_0_119, all_475_2_361, 0 and discharging atoms aNaturalNumber0(all_93_0_119) = all_475_2_361, aNaturalNumber0(all_93_0_119) = 0, yields:
% 85.39/44.41 | (1118) all_475_2_361 = 0
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with all_29_2_49, all_370_3_168, 0 and discharging atoms aNaturalNumber0(all_29_2_49) = all_370_3_168, aNaturalNumber0(all_29_2_49) = 0, yields:
% 85.39/44.41 | (1119) all_370_3_168 = 0
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with all_29_2_49, all_368_1_163, all_370_3_168 and discharging atoms aNaturalNumber0(all_29_2_49) = all_370_3_168, aNaturalNumber0(all_29_2_49) = all_368_1_163, yields:
% 85.39/44.41 | (1120) all_370_3_168 = all_368_1_163
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with all_28_2_46, all_358_1_148, 0 and discharging atoms aNaturalNumber0(all_28_2_46) = all_358_1_148, aNaturalNumber0(all_28_2_46) = 0, yields:
% 85.39/44.41 | (1121) all_358_1_148 = 0
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with all_27_2_43, all_376_3_179, 0 and discharging atoms aNaturalNumber0(all_27_2_43) = all_376_3_179, aNaturalNumber0(all_27_2_43) = 0, yields:
% 85.39/44.41 | (1122) all_376_3_179 = 0
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with all_27_2_43, all_360_1_151, all_376_3_179 and discharging atoms aNaturalNumber0(all_27_2_43) = all_376_3_179, aNaturalNumber0(all_27_2_43) = all_360_1_151, yields:
% 85.39/44.41 | (1123) all_376_3_179 = all_360_1_151
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with all_25_2_37, all_442_7_335, 0 and discharging atoms aNaturalNumber0(all_25_2_37) = all_442_7_335, aNaturalNumber0(all_25_2_37) = 0, yields:
% 85.39/44.41 | (1124) all_442_7_335 = 0
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with all_0_1_1, all_424_2_290, all_43_1_74 and discharging atoms aNaturalNumber0(all_0_1_1) = all_424_2_290, aNaturalNumber0(all_0_1_1) = all_43_1_74, yields:
% 85.39/44.41 | (1125) all_424_2_290 = all_43_1_74
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with all_0_1_1, all_422_2_287, all_424_2_290 and discharging atoms aNaturalNumber0(all_0_1_1) = all_424_2_290, aNaturalNumber0(all_0_1_1) = all_422_2_287, yields:
% 85.39/44.41 | (1126) all_424_2_290 = all_422_2_287
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with all_0_1_1, all_420_2_284, all_422_2_287 and discharging atoms aNaturalNumber0(all_0_1_1) = all_422_2_287, aNaturalNumber0(all_0_1_1) = all_420_2_284, yields:
% 85.39/44.41 | (1127) all_422_2_287 = all_420_2_284
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with all_0_5_5, all_366_2_161, all_20_2_28 and discharging atoms aNaturalNumber0(all_0_5_5) = all_20_2_28, yields:
% 85.39/44.41 | (1128) all_366_2_161 = all_20_2_28 | ~ (aNaturalNumber0(all_0_5_5) = all_366_2_161)
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with all_0_1_1, all_366_2_161, all_442_7_335 and discharging atoms aNaturalNumber0(all_0_1_1) = all_366_2_161, yields:
% 85.39/44.41 | (1129) all_442_7_335 = all_366_2_161 | ~ (aNaturalNumber0(all_0_1_1) = all_442_7_335)
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with all_0_1_1, all_366_2_161, all_420_2_284 and discharging atoms aNaturalNumber0(all_0_1_1) = all_420_2_284, aNaturalNumber0(all_0_1_1) = all_366_2_161, yields:
% 85.39/44.41 | (1130) all_420_2_284 = all_366_2_161
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with all_0_2_2, all_418_1_280, all_32_2_57 and discharging atoms aNaturalNumber0(all_0_2_2) = all_418_1_280, aNaturalNumber0(all_0_2_2) = all_32_2_57, yields:
% 85.39/44.41 | (1131) all_418_1_280 = all_32_2_57
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with all_0_2_2, all_418_1_280, all_366_0_159 and discharging atoms aNaturalNumber0(all_0_2_2) = all_418_1_280, yields:
% 85.39/44.41 | (1132) all_418_1_280 = all_366_0_159 | ~ (aNaturalNumber0(all_0_2_2) = all_366_0_159)
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with all_0_2_2, all_416_1_277, all_418_1_280 and discharging atoms aNaturalNumber0(all_0_2_2) = all_418_1_280, aNaturalNumber0(all_0_2_2) = all_416_1_277, yields:
% 85.39/44.41 | (1133) all_418_1_280 = all_416_1_277
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with all_0_4_4, all_414_1_274, all_20_0_26 and discharging atoms aNaturalNumber0(all_0_4_4) = all_414_1_274, aNaturalNumber0(all_0_4_4) = all_20_0_26, yields:
% 85.39/44.41 | (1134) all_414_1_274 = all_20_0_26
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with all_0_4_4, all_412_1_271, all_414_1_274 and discharging atoms aNaturalNumber0(all_0_4_4) = all_414_1_274, aNaturalNumber0(all_0_4_4) = all_412_1_271, yields:
% 85.39/44.41 | (1135) all_414_1_274 = all_412_1_271
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with xr, all_442_8_336, all_475_1_360 and discharging atoms aNaturalNumber0(xr) = all_475_1_360, aNaturalNumber0(xr) = all_442_8_336, yields:
% 85.39/44.41 | (1136) all_475_1_360 = all_442_8_336
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with xr, all_440_4_327, all_442_8_336 and discharging atoms aNaturalNumber0(xr) = all_442_8_336, aNaturalNumber0(xr) = all_440_4_327, yields:
% 85.39/44.41 | (1137) all_442_8_336 = all_440_4_327
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with xr, all_435_1_312, all_440_4_327 and discharging atoms aNaturalNumber0(xr) = all_440_4_327, aNaturalNumber0(xr) = all_435_1_312, yields:
% 85.39/44.41 | (1138) all_440_4_327 = all_435_1_312
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with xr, all_433_1_309, 0 and discharging atoms aNaturalNumber0(xr) = all_433_1_309, aNaturalNumber0(xr) = 0, yields:
% 85.39/44.41 | (1139) all_433_1_309 = 0
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with xr, all_424_1_289, all_435_1_312 and discharging atoms aNaturalNumber0(xr) = all_435_1_312, aNaturalNumber0(xr) = all_424_1_289, yields:
% 85.39/44.41 | (1140) all_435_1_312 = all_424_1_289
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with xr, all_422_1_286, all_424_1_289 and discharging atoms aNaturalNumber0(xr) = all_424_1_289, aNaturalNumber0(xr) = all_422_1_286, yields:
% 85.39/44.41 | (1141) all_424_1_289 = all_422_1_286
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with xr, all_418_2_281, all_422_1_286 and discharging atoms aNaturalNumber0(xr) = all_422_1_286, aNaturalNumber0(xr) = all_418_2_281, yields:
% 85.39/44.41 | (1142) all_422_1_286 = all_418_2_281
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with xr, all_416_2_278, all_433_1_309 and discharging atoms aNaturalNumber0(xr) = all_433_1_309, aNaturalNumber0(xr) = all_416_2_278, yields:
% 85.39/44.41 | (1143) all_433_1_309 = all_416_2_278
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with xr, all_416_2_278, all_418_2_281 and discharging atoms aNaturalNumber0(xr) = all_418_2_281, aNaturalNumber0(xr) = all_416_2_278, yields:
% 85.39/44.41 | (1144) all_418_2_281 = all_416_2_278
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with xr, all_414_2_275, all_431_2_307 and discharging atoms aNaturalNumber0(xr) = all_431_2_307, aNaturalNumber0(xr) = all_414_2_275, yields:
% 85.39/44.41 | (1145) all_431_2_307 = all_414_2_275
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with xr, all_412_2_272, all_414_2_275 and discharging atoms aNaturalNumber0(xr) = all_414_2_275, aNaturalNumber0(xr) = all_412_2_272, yields:
% 85.39/44.41 | (1146) all_414_2_275 = all_412_2_272
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with xr, all_408_3_265, all_433_1_309 and discharging atoms aNaturalNumber0(xr) = all_433_1_309, aNaturalNumber0(xr) = all_408_3_265, yields:
% 85.39/44.41 | (1147) all_433_1_309 = all_408_3_265
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with xr, all_408_4_266, all_475_1_360 and discharging atoms aNaturalNumber0(xr) = all_475_1_360, aNaturalNumber0(xr) = all_408_4_266, yields:
% 85.39/44.41 | (1148) all_475_1_360 = all_408_4_266
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with xr, all_376_4_180, all_433_1_309 and discharging atoms aNaturalNumber0(xr) = all_433_1_309, aNaturalNumber0(xr) = all_376_4_180, yields:
% 85.39/44.41 | (1149) all_433_1_309 = all_376_4_180
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with xr, all_372_2_172, all_376_4_180 and discharging atoms aNaturalNumber0(xr) = all_376_4_180, aNaturalNumber0(xr) = all_372_2_172, yields:
% 85.39/44.41 | (1150) all_376_4_180 = all_372_2_172
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with xr, all_370_4_169, all_414_2_275 and discharging atoms aNaturalNumber0(xr) = all_414_2_275, aNaturalNumber0(xr) = all_370_4_169, yields:
% 85.39/44.41 | (1151) all_414_2_275 = all_370_4_169
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with xr, all_370_4_169, all_372_2_172 and discharging atoms aNaturalNumber0(xr) = all_372_2_172, aNaturalNumber0(xr) = all_370_4_169, yields:
% 85.39/44.41 | (1152) all_372_2_172 = all_370_4_169
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with xr, all_368_2_164, all_431_2_307 and discharging atoms aNaturalNumber0(xr) = all_431_2_307, aNaturalNumber0(xr) = all_368_2_164, yields:
% 85.39/44.41 | (1153) all_431_2_307 = all_368_2_164
% 85.39/44.41 |
% 85.39/44.41 | Instantiating formula (74) with xr, all_360_2_152, all_414_2_275 and discharging atoms aNaturalNumber0(xr) = all_414_2_275, aNaturalNumber0(xr) = all_360_2_152, yields:
% 85.39/44.42 | (1154) all_414_2_275 = all_360_2_152
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xk, all_406_3_260, all_470_1_356 and discharging atoms aNaturalNumber0(xk) = all_470_1_356, aNaturalNumber0(xk) = all_406_3_260, yields:
% 85.39/44.42 | (1155) all_470_1_356 = all_406_3_260
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xk, all_404_2_256, all_406_3_260 and discharging atoms aNaturalNumber0(xk) = all_406_3_260, aNaturalNumber0(xk) = all_404_2_256, yields:
% 85.39/44.42 | (1156) all_406_3_260 = all_404_2_256
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xk, all_402_8_253, 0 and discharging atoms aNaturalNumber0(xk) = all_402_8_253, aNaturalNumber0(xk) = 0, yields:
% 85.39/44.42 | (1157) all_402_8_253 = 0
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xk, all_402_8_253, all_404_2_256 and discharging atoms aNaturalNumber0(xk) = all_404_2_256, aNaturalNumber0(xk) = all_402_8_253, yields:
% 85.39/44.42 | (1158) all_404_2_256 = all_402_8_253
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xk, all_390_4_219, all_470_1_356 and discharging atoms aNaturalNumber0(xk) = all_470_1_356, aNaturalNumber0(xk) = all_390_4_219, yields:
% 85.39/44.42 | (1159) all_470_1_356 = all_390_4_219
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xp, all_485_3_369, 0 and discharging atoms aNaturalNumber0(xp) = all_485_3_369, aNaturalNumber0(xp) = 0, yields:
% 85.39/44.42 | (1160) all_485_3_369 = 0
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xp, all_470_3_358, all_480_3_365 and discharging atoms aNaturalNumber0(xp) = all_480_3_365, aNaturalNumber0(xp) = all_470_3_358, yields:
% 85.39/44.42 | (1161) all_480_3_365 = all_470_3_358
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xp, all_457_1_347, all_470_3_358 and discharging atoms aNaturalNumber0(xp) = all_470_3_358, aNaturalNumber0(xp) = all_457_1_347, yields:
% 85.39/44.42 | (1162) all_470_3_358 = all_457_1_347
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xp, all_420_1_283, all_457_1_347 and discharging atoms aNaturalNumber0(xp) = all_457_1_347, aNaturalNumber0(xp) = all_420_1_283, yields:
% 85.39/44.42 | (1163) all_457_1_347 = all_420_1_283
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xp, all_410_2_269, all_420_1_283 and discharging atoms aNaturalNumber0(xp) = all_420_1_283, aNaturalNumber0(xp) = all_410_2_269, yields:
% 85.39/44.42 | (1164) all_420_1_283 = all_410_2_269
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xp, all_398_1_238, all_410_2_269 and discharging atoms aNaturalNumber0(xp) = all_410_2_269, aNaturalNumber0(xp) = all_398_1_238, yields:
% 85.39/44.42 | (1165) all_410_2_269 = all_398_1_238
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xp, all_396_1_235, all_485_3_369 and discharging atoms aNaturalNumber0(xp) = all_485_3_369, aNaturalNumber0(xp) = all_396_1_235, yields:
% 85.39/44.42 | (1166) all_485_3_369 = all_396_1_235
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xp, all_384_2_200, all_396_1_235 and discharging atoms aNaturalNumber0(xp) = all_396_1_235, aNaturalNumber0(xp) = all_384_2_200, yields:
% 85.39/44.42 | (1167) all_396_1_235 = all_384_2_200
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xp, all_384_2_200, all_386_6_209 and discharging atoms aNaturalNumber0(xp) = all_386_6_209, aNaturalNumber0(xp) = all_384_2_200, yields:
% 85.39/44.42 | (1168) all_386_6_209 = all_384_2_200
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xp, all_376_2_178, all_386_6_209 and discharging atoms aNaturalNumber0(xp) = all_386_6_209, aNaturalNumber0(xp) = all_376_2_178, yields:
% 85.39/44.42 | (1169) all_386_6_209 = all_376_2_178
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xp, all_374_2_175, all_398_1_238 and discharging atoms aNaturalNumber0(xp) = all_398_1_238, aNaturalNumber0(xp) = all_374_2_175, yields:
% 85.39/44.42 | (1170) all_398_1_238 = all_374_2_175
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xp, all_374_2_175, all_386_6_209 and discharging atoms aNaturalNumber0(xp) = all_386_6_209, aNaturalNumber0(xp) = all_374_2_175, yields:
% 85.39/44.42 | (1171) all_386_6_209 = all_374_2_175
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xp, all_366_1_160, all_480_3_365 and discharging atoms aNaturalNumber0(xp) = all_480_3_365, aNaturalNumber0(xp) = all_366_1_160, yields:
% 85.39/44.42 | (1172) all_480_3_365 = all_366_1_160
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xp, all_358_2_149, all_374_2_175 and discharging atoms aNaturalNumber0(xp) = all_374_2_175, aNaturalNumber0(xp) = all_358_2_149, yields:
% 85.39/44.42 | (1173) all_374_2_175 = all_358_2_149
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xm, all_480_1_363, all_20_2_28 and discharging atoms aNaturalNumber0(xm) = all_480_1_363, yields:
% 85.39/44.42 | (1174) all_480_1_363 = all_20_2_28 | ~ (aNaturalNumber0(xm) = all_20_2_28)
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xm, all_433_2_310, all_435_2_313 and discharging atoms aNaturalNumber0(xm) = all_435_2_313, aNaturalNumber0(xm) = all_433_2_310, yields:
% 85.39/44.42 | (1175) all_435_2_313 = all_433_2_310
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xm, all_429_3_303, all_480_1_363 and discharging atoms aNaturalNumber0(xm) = all_480_1_363, aNaturalNumber0(xm) = all_429_3_303, yields:
% 85.39/44.42 | (1176) all_480_1_363 = all_429_3_303
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xm, all_429_3_303, all_446_2_342 and discharging atoms aNaturalNumber0(xm) = all_446_2_342, aNaturalNumber0(xm) = all_429_3_303, yields:
% 85.39/44.42 | (1177) all_446_2_342 = all_429_3_303
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xm, all_429_3_303, all_444_2_339 and discharging atoms aNaturalNumber0(xm) = all_444_2_339, aNaturalNumber0(xm) = all_429_3_303, yields:
% 85.39/44.42 | (1178) all_444_2_339 = all_429_3_303
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xm, all_398_2_239, all_435_2_313 and discharging atoms aNaturalNumber0(xm) = all_435_2_313, aNaturalNumber0(xm) = all_398_2_239, yields:
% 85.39/44.42 | (1179) all_435_2_313 = all_398_2_239
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xm, all_396_2_236, all_444_2_339 and discharging atoms aNaturalNumber0(xm) = all_444_2_339, aNaturalNumber0(xm) = all_396_2_236, yields:
% 85.39/44.42 | (1180) all_444_2_339 = all_396_2_236
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xm, all_394_8_233, 0 and discharging atoms aNaturalNumber0(xm) = all_394_8_233, aNaturalNumber0(xm) = 0, yields:
% 85.39/44.42 | (1181) all_394_8_233 = 0
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xm, all_392_4_224, all_480_1_363 and discharging atoms aNaturalNumber0(xm) = all_480_1_363, aNaturalNumber0(xm) = all_392_4_224, yields:
% 85.39/44.42 | (1182) all_480_1_363 = all_392_4_224
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xm, all_388_2_214, all_480_1_363 and discharging atoms aNaturalNumber0(xm) = all_480_1_363, aNaturalNumber0(xm) = all_388_2_214, yields:
% 85.39/44.42 | (1183) all_480_1_363 = all_388_2_214
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xm, all_388_2_214, all_394_8_233 and discharging atoms aNaturalNumber0(xm) = all_394_8_233, aNaturalNumber0(xm) = all_388_2_214, yields:
% 85.39/44.42 | (1184) all_394_8_233 = all_388_2_214
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xm, all_386_8_211, all_433_2_310 and discharging atoms aNaturalNumber0(xm) = all_433_2_310, aNaturalNumber0(xm) = all_386_8_211, yields:
% 85.39/44.42 | (1185) all_433_2_310 = all_386_8_211
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xm, all_386_8_211, all_388_2_214 and discharging atoms aNaturalNumber0(xm) = all_388_2_214, aNaturalNumber0(xm) = all_386_8_211, yields:
% 85.39/44.42 | (1186) all_388_2_214 = all_386_8_211
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xm, all_384_4_202, all_446_2_342 and discharging atoms aNaturalNumber0(xm) = all_446_2_342, aNaturalNumber0(xm) = all_384_4_202, yields:
% 85.39/44.42 | (1187) all_446_2_342 = all_384_4_202
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xm, all_370_2_167, all_433_2_310 and discharging atoms aNaturalNumber0(xm) = all_433_2_310, aNaturalNumber0(xm) = all_370_2_167, yields:
% 85.39/44.42 | (1188) all_433_2_310 = all_370_2_167
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xn, all_400_3_243, all_485_1_367 and discharging atoms aNaturalNumber0(xn) = all_485_1_367, aNaturalNumber0(xn) = all_400_3_243, yields:
% 85.39/44.42 | (1189) all_485_1_367 = all_400_3_243
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xn, all_386_7_210, 0 and discharging atoms aNaturalNumber0(xn) = all_386_7_210, aNaturalNumber0(xn) = 0, yields:
% 85.39/44.42 | (1190) all_386_7_210 = 0
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xn, all_386_7_210, all_452_1_344 and discharging atoms aNaturalNumber0(xn) = all_452_1_344, aNaturalNumber0(xn) = all_386_7_210, yields:
% 85.39/44.42 | (1191) all_452_1_344 = all_386_7_210
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xn, all_384_3_201, all_485_1_367 and discharging atoms aNaturalNumber0(xn) = all_485_1_367, aNaturalNumber0(xn) = all_384_3_201, yields:
% 85.39/44.42 | (1192) all_485_1_367 = all_384_3_201
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xn, all_382_8_197, all_485_1_367 and discharging atoms aNaturalNumber0(xn) = all_485_1_367, aNaturalNumber0(xn) = all_382_8_197, yields:
% 85.39/44.42 | (1193) all_485_1_367 = all_382_8_197
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xn, all_380_4_188, all_384_3_201 and discharging atoms aNaturalNumber0(xn) = all_384_3_201, aNaturalNumber0(xn) = all_380_4_188, yields:
% 85.39/44.42 | (1194) all_384_3_201 = all_380_4_188
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xn, all_378_2_183, all_386_7_210 and discharging atoms aNaturalNumber0(xn) = all_386_7_210, aNaturalNumber0(xn) = all_378_2_183, yields:
% 85.39/44.42 | (1195) all_386_7_210 = all_378_2_183
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xn, all_378_2_183, all_384_3_201 and discharging atoms aNaturalNumber0(xn) = all_384_3_201, aNaturalNumber0(xn) = all_378_2_183, yields:
% 85.39/44.42 | (1196) all_384_3_201 = all_378_2_183
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xn, all_356_2_146, all_452_1_344 and discharging atoms aNaturalNumber0(xn) = all_452_1_344, aNaturalNumber0(xn) = all_356_2_146, yields:
% 85.39/44.42 | (1197) all_452_1_344 = all_356_2_146
% 85.39/44.42 |
% 85.39/44.42 | Instantiating formula (74) with xn, all_354_2_143, all_400_3_243 and discharging atoms aNaturalNumber0(xn) = all_400_3_243, aNaturalNumber0(xn) = all_354_2_143, yields:
% 85.39/44.42 | (1198) all_400_3_243 = all_354_2_143
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1189,1193) yields a new equation:
% 85.39/44.42 | (1199) all_400_3_243 = all_382_8_197
% 85.39/44.42 |
% 85.39/44.42 | Simplifying 1199 yields:
% 85.39/44.42 | (1200) all_400_3_243 = all_382_8_197
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1192,1193) yields a new equation:
% 85.39/44.42 | (1201) all_384_3_201 = all_382_8_197
% 85.39/44.42 |
% 85.39/44.42 | Simplifying 1201 yields:
% 85.39/44.42 | (1202) all_384_3_201 = all_382_8_197
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1166,1160) yields a new equation:
% 85.39/44.42 | (1203) all_396_1_235 = 0
% 85.39/44.42 |
% 85.39/44.42 | Simplifying 1203 yields:
% 85.39/44.42 | (1204) all_396_1_235 = 0
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1176,1182) yields a new equation:
% 85.39/44.42 | (1205) all_429_3_303 = all_392_4_224
% 85.39/44.42 |
% 85.39/44.42 | Simplifying 1205 yields:
% 85.39/44.42 | (1206) all_429_3_303 = all_392_4_224
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1183,1182) yields a new equation:
% 85.39/44.42 | (1207) all_392_4_224 = all_388_2_214
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1161,1172) yields a new equation:
% 85.39/44.42 | (1208) all_470_3_358 = all_366_1_160
% 85.39/44.42 |
% 85.39/44.42 | Simplifying 1208 yields:
% 85.39/44.42 | (1209) all_470_3_358 = all_366_1_160
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1136,1148) yields a new equation:
% 85.39/44.42 | (1210) all_442_8_336 = all_408_4_266
% 85.39/44.42 |
% 85.39/44.42 | Simplifying 1210 yields:
% 85.39/44.42 | (1211) all_442_8_336 = all_408_4_266
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1155,1159) yields a new equation:
% 85.39/44.42 | (1212) all_406_3_260 = all_390_4_219
% 85.39/44.42 |
% 85.39/44.42 | Simplifying 1212 yields:
% 85.39/44.42 | (1213) all_406_3_260 = all_390_4_219
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1162,1209) yields a new equation:
% 85.39/44.42 | (1214) all_457_1_347 = all_366_1_160
% 85.39/44.42 |
% 85.39/44.42 | Simplifying 1214 yields:
% 85.39/44.42 | (1215) all_457_1_347 = all_366_1_160
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1163,1215) yields a new equation:
% 85.39/44.42 | (1216) all_420_1_283 = all_366_1_160
% 85.39/44.42 |
% 85.39/44.42 | Simplifying 1216 yields:
% 85.39/44.42 | (1217) all_420_1_283 = all_366_1_160
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1191,1197) yields a new equation:
% 85.39/44.42 | (1218) all_386_7_210 = all_356_2_146
% 85.39/44.42 |
% 85.39/44.42 | Simplifying 1218 yields:
% 85.39/44.42 | (1219) all_386_7_210 = all_356_2_146
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1177,1187) yields a new equation:
% 85.39/44.42 | (1220) all_429_3_303 = all_384_4_202
% 85.39/44.42 |
% 85.39/44.42 | Simplifying 1220 yields:
% 85.39/44.42 | (1221) all_429_3_303 = all_384_4_202
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1178,1180) yields a new equation:
% 85.39/44.42 | (1222) all_429_3_303 = all_396_2_236
% 85.39/44.42 |
% 85.39/44.42 | Simplifying 1222 yields:
% 85.39/44.42 | (1223) all_429_3_303 = all_396_2_236
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1137,1211) yields a new equation:
% 85.39/44.42 | (1224) all_440_4_327 = all_408_4_266
% 85.39/44.42 |
% 85.39/44.42 | Simplifying 1224 yields:
% 85.39/44.42 | (1225) all_440_4_327 = all_408_4_266
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1138,1225) yields a new equation:
% 85.39/44.42 | (1226) all_435_1_312 = all_408_4_266
% 85.39/44.42 |
% 85.39/44.42 | Simplifying 1226 yields:
% 85.39/44.42 | (1227) all_435_1_312 = all_408_4_266
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1140,1227) yields a new equation:
% 85.39/44.42 | (1228) all_424_1_289 = all_408_4_266
% 85.39/44.42 |
% 85.39/44.42 | Simplifying 1228 yields:
% 85.39/44.42 | (1229) all_424_1_289 = all_408_4_266
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1175,1179) yields a new equation:
% 85.39/44.42 | (1230) all_433_2_310 = all_398_2_239
% 85.39/44.42 |
% 85.39/44.42 | Simplifying 1230 yields:
% 85.39/44.42 | (1231) all_433_2_310 = all_398_2_239
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1149,1147) yields a new equation:
% 85.39/44.42 | (1232) all_408_3_265 = all_376_4_180
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1143,1147) yields a new equation:
% 85.39/44.42 | (1233) all_416_2_278 = all_408_3_265
% 85.39/44.42 |
% 85.39/44.42 | Simplifying 1233 yields:
% 85.39/44.42 | (1234) all_416_2_278 = all_408_3_265
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1139,1147) yields a new equation:
% 85.39/44.42 | (1235) all_408_3_265 = 0
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1188,1231) yields a new equation:
% 85.39/44.42 | (1236) all_398_2_239 = all_370_2_167
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1185,1231) yields a new equation:
% 85.39/44.42 | (1237) all_398_2_239 = all_386_8_211
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1145,1153) yields a new equation:
% 85.39/44.42 | (1238) all_414_2_275 = all_368_2_164
% 85.39/44.42 |
% 85.39/44.42 | Simplifying 1238 yields:
% 85.39/44.42 | (1239) all_414_2_275 = all_368_2_164
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1221,1223) yields a new equation:
% 85.39/44.42 | (1240) all_396_2_236 = all_384_4_202
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1206,1223) yields a new equation:
% 85.39/44.42 | (1241) all_396_2_236 = all_392_4_224
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1141,1229) yields a new equation:
% 85.39/44.42 | (1242) all_422_1_286 = all_408_4_266
% 85.39/44.42 |
% 85.39/44.42 | Simplifying 1242 yields:
% 85.39/44.42 | (1243) all_422_1_286 = all_408_4_266
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1126,1125) yields a new equation:
% 85.39/44.42 | (1244) all_422_2_287 = all_43_1_74
% 85.39/44.42 |
% 85.39/44.42 | Simplifying 1244 yields:
% 85.39/44.42 | (1245) all_422_2_287 = all_43_1_74
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1142,1243) yields a new equation:
% 85.39/44.42 | (1246) all_418_2_281 = all_408_4_266
% 85.39/44.42 |
% 85.39/44.42 | Simplifying 1246 yields:
% 85.39/44.42 | (1247) all_418_2_281 = all_408_4_266
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1127,1245) yields a new equation:
% 85.39/44.42 | (1248) all_420_2_284 = all_43_1_74
% 85.39/44.42 |
% 85.39/44.42 | Simplifying 1248 yields:
% 85.39/44.42 | (1249) all_420_2_284 = all_43_1_74
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1164,1217) yields a new equation:
% 85.39/44.42 | (1250) all_410_2_269 = all_366_1_160
% 85.39/44.42 |
% 85.39/44.42 | Simplifying 1250 yields:
% 85.39/44.42 | (1251) all_410_2_269 = all_366_1_160
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1130,1249) yields a new equation:
% 85.39/44.42 | (1252) all_366_2_161 = all_43_1_74
% 85.39/44.42 |
% 85.39/44.42 | Simplifying 1252 yields:
% 85.39/44.42 | (1253) all_366_2_161 = all_43_1_74
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1131,1133) yields a new equation:
% 85.39/44.42 | (1254) all_416_1_277 = all_32_2_57
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1144,1247) yields a new equation:
% 85.39/44.42 | (1255) all_416_2_278 = all_408_4_266
% 85.39/44.42 |
% 85.39/44.42 | Simplifying 1255 yields:
% 85.39/44.42 | (1256) all_416_2_278 = all_408_4_266
% 85.39/44.42 |
% 85.39/44.42 | Combining equations (1234,1256) yields a new equation:
% 85.39/44.42 | (1257) all_408_3_265 = all_408_4_266
% 85.39/44.43 |
% 85.39/44.43 | Simplifying 1257 yields:
% 85.39/44.43 | (1258) all_408_3_265 = all_408_4_266
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1135,1134) yields a new equation:
% 85.39/44.43 | (1259) all_412_1_271 = all_20_0_26
% 85.39/44.43 |
% 85.39/44.43 | Simplifying 1259 yields:
% 85.39/44.43 | (1260) all_412_1_271 = all_20_0_26
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1239,1146) yields a new equation:
% 85.39/44.43 | (1261) all_412_2_272 = all_368_2_164
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1154,1146) yields a new equation:
% 85.39/44.43 | (1262) all_412_2_272 = all_360_2_152
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1151,1146) yields a new equation:
% 85.39/44.43 | (1263) all_412_2_272 = all_370_4_169
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1262,1261) yields a new equation:
% 85.39/44.43 | (1264) all_368_2_164 = all_360_2_152
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1263,1261) yields a new equation:
% 85.39/44.43 | (1265) all_370_4_169 = all_368_2_164
% 85.39/44.43 |
% 85.39/44.43 | Simplifying 1265 yields:
% 85.39/44.43 | (1266) all_370_4_169 = all_368_2_164
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1165,1251) yields a new equation:
% 85.39/44.43 | (1267) all_398_1_238 = all_366_1_160
% 85.39/44.43 |
% 85.39/44.43 | Simplifying 1267 yields:
% 85.39/44.43 | (1268) all_398_1_238 = all_366_1_160
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1232,1258) yields a new equation:
% 85.39/44.43 | (1269) all_408_4_266 = all_376_4_180
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1235,1258) yields a new equation:
% 85.39/44.43 | (1270) all_408_4_266 = 0
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1269,1270) yields a new equation:
% 85.39/44.43 | (1271) all_376_4_180 = 0
% 85.39/44.43 |
% 85.39/44.43 | Simplifying 1271 yields:
% 85.39/44.43 | (1272) all_376_4_180 = 0
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1156,1213) yields a new equation:
% 85.39/44.43 | (1273) all_404_2_256 = all_390_4_219
% 85.39/44.43 |
% 85.39/44.43 | Simplifying 1273 yields:
% 85.39/44.43 | (1274) all_404_2_256 = all_390_4_219
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1158,1274) yields a new equation:
% 85.39/44.43 | (1275) all_402_8_253 = all_390_4_219
% 85.39/44.43 |
% 85.39/44.43 | Simplifying 1275 yields:
% 85.39/44.43 | (1276) all_402_8_253 = all_390_4_219
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1157,1276) yields a new equation:
% 85.39/44.43 | (1277) all_390_4_219 = 0
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1200,1198) yields a new equation:
% 85.39/44.43 | (1278) all_382_8_197 = all_354_2_143
% 85.39/44.43 |
% 85.39/44.43 | Simplifying 1278 yields:
% 85.39/44.43 | (1279) all_382_8_197 = all_354_2_143
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1170,1268) yields a new equation:
% 85.39/44.43 | (1280) all_374_2_175 = all_366_1_160
% 85.39/44.43 |
% 85.39/44.43 | Simplifying 1280 yields:
% 85.39/44.43 | (1281) all_374_2_175 = all_366_1_160
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1237,1236) yields a new equation:
% 85.39/44.43 | (1282) all_386_8_211 = all_370_2_167
% 85.39/44.43 |
% 85.39/44.43 | Simplifying 1282 yields:
% 85.39/44.43 | (1283) all_386_8_211 = all_370_2_167
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1167,1204) yields a new equation:
% 85.39/44.43 | (1284) all_384_2_200 = 0
% 85.39/44.43 |
% 85.39/44.43 | Simplifying 1284 yields:
% 85.39/44.43 | (1285) all_384_2_200 = 0
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1241,1240) yields a new equation:
% 85.39/44.43 | (1286) all_392_4_224 = all_384_4_202
% 85.39/44.43 |
% 85.39/44.43 | Simplifying 1286 yields:
% 85.39/44.43 | (1287) all_392_4_224 = all_384_4_202
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1184,1181) yields a new equation:
% 85.39/44.43 | (1288) all_388_2_214 = 0
% 85.39/44.43 |
% 85.39/44.43 | Simplifying 1288 yields:
% 85.39/44.43 | (1289) all_388_2_214 = 0
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1207,1287) yields a new equation:
% 85.39/44.43 | (1290) all_388_2_214 = all_384_4_202
% 85.39/44.43 |
% 85.39/44.43 | Simplifying 1290 yields:
% 85.39/44.43 | (1291) all_388_2_214 = all_384_4_202
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1186,1291) yields a new equation:
% 85.39/44.43 | (1292) all_386_8_211 = all_384_4_202
% 85.39/44.43 |
% 85.39/44.43 | Simplifying 1292 yields:
% 85.39/44.43 | (1293) all_386_8_211 = all_384_4_202
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1289,1291) yields a new equation:
% 85.39/44.43 | (1294) all_384_4_202 = 0
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1171,1169) yields a new equation:
% 85.39/44.43 | (1295) all_376_2_178 = all_374_2_175
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1168,1169) yields a new equation:
% 85.39/44.43 | (1296) all_384_2_200 = all_376_2_178
% 85.39/44.43 |
% 85.39/44.43 | Simplifying 1296 yields:
% 85.39/44.43 | (1297) all_384_2_200 = all_376_2_178
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1190,1219) yields a new equation:
% 85.39/44.43 | (1298) all_356_2_146 = 0
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1195,1219) yields a new equation:
% 85.39/44.43 | (1299) all_378_2_183 = all_356_2_146
% 85.39/44.43 |
% 85.39/44.43 | Simplifying 1299 yields:
% 85.39/44.43 | (1300) all_378_2_183 = all_356_2_146
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1293,1283) yields a new equation:
% 85.39/44.43 | (1301) all_384_4_202 = all_370_2_167
% 85.39/44.43 |
% 85.39/44.43 | Simplifying 1301 yields:
% 85.39/44.43 | (1302) all_384_4_202 = all_370_2_167
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1297,1285) yields a new equation:
% 85.39/44.43 | (1303) all_376_2_178 = 0
% 85.39/44.43 |
% 85.39/44.43 | Simplifying 1303 yields:
% 85.39/44.43 | (1304) all_376_2_178 = 0
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1196,1194) yields a new equation:
% 85.39/44.43 | (1305) all_380_4_188 = all_378_2_183
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1202,1194) yields a new equation:
% 85.39/44.43 | (1306) all_382_8_197 = all_380_4_188
% 85.39/44.43 |
% 85.39/44.43 | Simplifying 1306 yields:
% 85.39/44.43 | (1307) all_382_8_197 = all_380_4_188
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1294,1302) yields a new equation:
% 85.39/44.43 | (1308) all_370_2_167 = 0
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1307,1279) yields a new equation:
% 85.39/44.43 | (1309) all_380_4_188 = all_354_2_143
% 85.39/44.43 |
% 85.39/44.43 | Simplifying 1309 yields:
% 85.39/44.43 | (1310) all_380_4_188 = all_354_2_143
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1305,1310) yields a new equation:
% 85.39/44.43 | (1311) all_378_2_183 = all_354_2_143
% 85.39/44.43 |
% 85.39/44.43 | Simplifying 1311 yields:
% 85.39/44.43 | (1312) all_378_2_183 = all_354_2_143
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1300,1312) yields a new equation:
% 85.39/44.43 | (1313) all_356_2_146 = all_354_2_143
% 85.39/44.43 |
% 85.39/44.43 | Simplifying 1313 yields:
% 85.39/44.43 | (1314) all_356_2_146 = all_354_2_143
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1295,1304) yields a new equation:
% 85.39/44.43 | (1315) all_374_2_175 = 0
% 85.39/44.43 |
% 85.39/44.43 | Simplifying 1315 yields:
% 85.39/44.43 | (1316) all_374_2_175 = 0
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1122,1123) yields a new equation:
% 85.39/44.43 | (1317) all_360_1_151 = 0
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1150,1272) yields a new equation:
% 85.39/44.43 | (1318) all_372_2_172 = 0
% 85.39/44.43 |
% 85.39/44.43 | Simplifying 1318 yields:
% 85.39/44.43 | (1319) all_372_2_172 = 0
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1173,1281) yields a new equation:
% 85.39/44.43 | (1320) all_366_1_160 = all_358_2_149
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1316,1281) yields a new equation:
% 85.39/44.43 | (1321) all_366_1_160 = 0
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1152,1319) yields a new equation:
% 85.39/44.43 | (1322) all_370_4_169 = 0
% 85.39/44.43 |
% 85.39/44.43 | Simplifying 1322 yields:
% 85.39/44.43 | (1323) all_370_4_169 = 0
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1120,1119) yields a new equation:
% 85.39/44.43 | (1324) all_368_1_163 = 0
% 85.39/44.43 |
% 85.39/44.43 | Simplifying 1324 yields:
% 85.39/44.43 | (1325) all_368_1_163 = 0
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1266,1323) yields a new equation:
% 85.39/44.43 | (1326) all_368_2_164 = 0
% 85.39/44.43 |
% 85.39/44.43 | Simplifying 1326 yields:
% 85.39/44.43 | (1327) all_368_2_164 = 0
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1264,1327) yields a new equation:
% 85.39/44.43 | (1328) all_360_2_152 = 0
% 85.39/44.43 |
% 85.39/44.43 | Simplifying 1328 yields:
% 85.39/44.43 | (1329) all_360_2_152 = 0
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1321,1320) yields a new equation:
% 85.39/44.43 | (1330) all_358_2_149 = 0
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1298,1314) yields a new equation:
% 85.39/44.43 | (1331) all_354_2_143 = 0
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1330,1320) yields a new equation:
% 85.39/44.43 | (1321) all_366_1_160 = 0
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1317,1123) yields a new equation:
% 85.39/44.43 | (1122) all_376_3_179 = 0
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1308,1302) yields a new equation:
% 85.39/44.43 | (1294) all_384_4_202 = 0
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1294,1287) yields a new equation:
% 85.39/44.43 | (1335) all_392_4_224 = 0
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1327,1261) yields a new equation:
% 85.39/44.43 | (1336) all_412_2_272 = 0
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1336,1146) yields a new equation:
% 85.39/44.43 | (1337) all_414_2_275 = 0
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1254,1133) yields a new equation:
% 85.39/44.43 | (1131) all_418_1_280 = all_32_2_57
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1321,1217) yields a new equation:
% 85.39/44.43 | (1339) all_420_1_283 = 0
% 85.39/44.43 |
% 85.39/44.43 | Combining equations (1335,1182) yields a new equation:
% 85.39/44.43 | (1340) all_480_1_363 = 0
% 85.39/44.43 |
% 85.39/44.43 | From (1118) and (1083) follows:
% 85.39/44.43 | (309) aNaturalNumber0(all_93_0_119) = 0
% 85.39/44.43 |
% 85.39/44.43 | From (1325) and (806) follows:
% 85.39/44.43 | (450) aNaturalNumber0(all_29_2_49) = 0
% 85.39/44.43 |
% 85.39/44.43 | From (1121) and (791) follows:
% 85.39/44.43 | (511) aNaturalNumber0(all_28_2_46) = 0
% 85.39/44.43 |
% 85.39/44.43 | From (1317) and (796) follows:
% 85.39/44.43 | (594) aNaturalNumber0(all_27_2_43) = 0
% 85.39/44.43 |
% 85.39/44.43 | From (1260) and (958) follows:
% 85.39/44.43 | (168) aNaturalNumber0(all_0_4_4) = all_20_0_26
% 85.39/44.43 |
% 85.39/44.43 | From (1329) and (797) follows:
% 85.39/44.43 | (18) aNaturalNumber0(xr) = 0
% 85.39/44.43 |
% 85.39/44.43 | From (1277) and (880) follows:
% 85.39/44.43 | (524) aNaturalNumber0(xk) = 0
% 85.39/44.43 |
% 85.39/44.43 | From (1308) and (812) follows:
% 85.39/44.43 | (91) aNaturalNumber0(xm) = 0
% 85.39/44.43 |
% 85.39/44.43 | From (1331) and (782) follows:
% 85.39/44.43 | (97) aNaturalNumber0(xn) = 0
% 85.39/44.43 |
% 85.39/44.43 +-Applying beta-rule and splitting (732), into two cases.
% 85.39/44.43 |-Branch one:
% 85.39/44.43 | (263) xr = sz00
% 85.39/44.43 |
% 85.39/44.43 | Equations (263) can reduce 100 to:
% 85.39/44.43 | (259) $false
% 85.39/44.43 |
% 85.39/44.43 |-The branch is then unsatisfiable
% 85.39/44.43 |-Branch two:
% 85.39/44.43 | (100) ~ (xr = sz00)
% 85.39/44.43 | (1353) all_27_2_43 = all_0_1_1 | ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & aNaturalNumber0(all_27_2_43) = v0) | (doDivides0(xr, xk) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xk) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 85.39/44.43 |
% 85.39/44.43 +-Applying beta-rule and splitting (714), into two cases.
% 85.39/44.43 |-Branch one:
% 85.39/44.43 | (1354) all_93_0_119 = xr
% 85.39/44.43 |
% 85.39/44.43 | Equations (1354) can reduce 311 to:
% 85.39/44.43 | (100) ~ (xr = sz00)
% 85.39/44.43 |
% 85.39/44.43 | From (1354) and (309) follows:
% 85.39/44.43 | (18) aNaturalNumber0(xr) = 0
% 85.39/44.43 |
% 85.39/44.43 +-Applying beta-rule and splitting (1353), into two cases.
% 85.39/44.43 |-Branch one:
% 85.39/44.43 | (1357) all_27_2_43 = all_0_1_1
% 85.39/44.43 |
% 85.39/44.43 | From (1357) and (795) follows:
% 85.39/44.43 | (1358) sdtasdt0(all_0_1_1, xr) = all_360_0_150
% 85.39/44.43 |
% 85.39/44.43 | From (1357) and (829) follows:
% 85.39/44.43 | (1359) sdtasdt0(all_0_1_1, xp) = all_376_1_177
% 85.39/44.43 |
% 85.39/44.43 | From (1357) and (593) follows:
% 85.39/44.43 | (1360) sdtasdt0(xr, all_0_1_1) = xk
% 85.39/44.43 |
% 85.39/44.43 | From (1357) and (594) follows:
% 85.39/44.43 | (1361) aNaturalNumber0(all_0_1_1) = 0
% 85.39/44.43 |
% 85.39/44.43 +-Applying beta-rule and splitting (1129), into two cases.
% 85.39/44.43 |-Branch one:
% 85.39/44.43 | (1362) ~ (aNaturalNumber0(all_0_1_1) = all_442_7_335)
% 85.39/44.43 |
% 85.39/44.43 | From (1124) and (1362) follows:
% 85.39/44.44 | (1363) ~ (aNaturalNumber0(all_0_1_1) = 0)
% 85.39/44.44 |
% 85.39/44.44 | Using (1361) and (1363) yields:
% 85.39/44.44 | (452) $false
% 85.39/44.44 |
% 85.39/44.44 |-The branch is then unsatisfiable
% 85.39/44.44 |-Branch two:
% 85.39/44.44 | (1365) aNaturalNumber0(all_0_1_1) = all_442_7_335
% 85.39/44.44 | (1366) all_442_7_335 = all_366_2_161
% 85.39/44.44 |
% 85.39/44.44 | Combining equations (1366,1124) yields a new equation:
% 85.39/44.44 | (1367) all_366_2_161 = 0
% 85.39/44.44 |
% 85.39/44.44 | Simplifying 1367 yields:
% 85.39/44.44 | (1368) all_366_2_161 = 0
% 85.39/44.44 |
% 85.39/44.44 | Combining equations (1368,1253) yields a new equation:
% 85.39/44.44 | (1369) all_43_1_74 = 0
% 85.39/44.44 |
% 85.39/44.44 | Combining equations (1369,1253) yields a new equation:
% 85.39/44.44 | (1368) all_366_2_161 = 0
% 85.39/44.44 |
% 85.39/44.44 | Combining equations (1369,1249) yields a new equation:
% 85.39/44.44 | (1371) all_420_2_284 = 0
% 85.39/44.44 |
% 85.39/44.44 +-Applying beta-rule and splitting (980), into two cases.
% 85.39/44.44 |-Branch one:
% 85.39/44.44 | (1372) ~ (all_420_1_283 = 0)
% 85.39/44.44 |
% 85.39/44.44 | Equations (1339) can reduce 1372 to:
% 85.39/44.44 | (259) $false
% 85.39/44.44 |
% 85.39/44.44 |-The branch is then unsatisfiable
% 85.39/44.44 |-Branch two:
% 85.39/44.44 | (1339) all_420_1_283 = 0
% 85.39/44.44 | (1375) ~ (all_420_2_284 = 0) | all_420_0_282 = all_45_0_76
% 85.39/44.44 |
% 85.39/44.44 +-Applying beta-rule and splitting (1375), into two cases.
% 85.39/44.44 |-Branch one:
% 85.39/44.44 | (1376) ~ (all_420_2_284 = 0)
% 85.39/44.44 |
% 85.39/44.44 | Equations (1371) can reduce 1376 to:
% 85.39/44.44 | (259) $false
% 85.39/44.44 |
% 85.39/44.44 |-The branch is then unsatisfiable
% 85.39/44.44 |-Branch two:
% 85.39/44.44 | (1371) all_420_2_284 = 0
% 85.39/44.44 | (1379) all_420_0_282 = all_45_0_76
% 85.39/44.44 |
% 85.39/44.44 | Combining equations (1379,1117) yields a new equation:
% 85.39/44.44 | (1380) all_45_0_76 = all_0_2_2
% 85.39/44.44 |
% 85.39/44.44 | Simplifying 1380 yields:
% 85.39/44.44 | (1381) all_45_0_76 = all_0_2_2
% 85.39/44.44 |
% 85.39/44.44 | From (1381) and (221) follows:
% 85.39/44.44 | (1382) sdtasdt0(all_0_1_1, xp) = all_0_2_2
% 85.39/44.44 |
% 85.39/44.44 | From (1381) and (800) follows:
% 85.39/44.44 | (1383) aNaturalNumber0(all_0_2_2) = all_366_0_159
% 85.39/44.44 |
% 85.39/44.44 +-Applying beta-rule and splitting (1132), into two cases.
% 85.39/44.44 |-Branch one:
% 85.39/44.44 | (1384) ~ (aNaturalNumber0(all_0_2_2) = all_366_0_159)
% 85.39/44.44 |
% 85.39/44.44 | Using (1383) and (1384) yields:
% 85.39/44.44 | (452) $false
% 85.39/44.44 |
% 85.39/44.44 |-The branch is then unsatisfiable
% 85.39/44.44 |-Branch two:
% 85.39/44.44 | (1383) aNaturalNumber0(all_0_2_2) = all_366_0_159
% 85.39/44.44 | (1387) all_418_1_280 = all_366_0_159
% 85.39/44.44 |
% 85.39/44.44 | Combining equations (1387,1131) yields a new equation:
% 85.39/44.44 | (1388) all_366_0_159 = all_32_2_57
% 85.39/44.44 |
% 85.39/44.44 | Simplifying 1388 yields:
% 85.39/44.44 | (1389) all_366_0_159 = all_32_2_57
% 85.39/44.44 |
% 85.39/44.44 | From (1389) and (1383) follows:
% 85.39/44.44 | (190) aNaturalNumber0(all_0_2_2) = all_32_2_57
% 85.39/44.44 |
% 85.39/44.44 +-Applying beta-rule and splitting (219), into two cases.
% 85.39/44.44 |-Branch one:
% 85.39/44.44 | (1391) ~ (all_43_1_74 = 0)
% 85.39/44.44 |
% 85.39/44.44 | Equations (1369) can reduce 1391 to:
% 85.39/44.44 | (259) $false
% 85.39/44.44 |
% 85.39/44.44 |-The branch is then unsatisfiable
% 85.39/44.44 |-Branch two:
% 85.39/44.44 | (1369) all_43_1_74 = 0
% 85.39/44.44 | (1394) ~ (all_43_2_75 = 0) | all_43_0_73 = 0
% 85.39/44.44 |
% 85.39/44.44 +-Applying beta-rule and splitting (770), into two cases.
% 85.39/44.44 |-Branch one:
% 85.39/44.44 | (1395) xp = xn
% 85.39/44.44 |
% 85.39/44.44 | Equations (1395) can reduce 51 to:
% 85.39/44.44 | (259) $false
% 85.39/44.44 |
% 85.39/44.44 |-The branch is then unsatisfiable
% 85.39/44.44 |-Branch two:
% 85.39/44.44 | (51) ~ (xp = xn)
% 85.39/44.44 | (1398) ? [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_14_1_16 = all_0_11_11))))
% 85.39/44.44 |
% 85.39/44.44 | Instantiating (1398) with all_668_0_374, all_668_1_375, all_668_2_376, all_668_3_377, all_668_4_378 yields:
% 85.39/44.44 | (1399) sdtpldt0(xp, xm) = all_668_1_375 & sdtpldt0(xn, xm) = all_668_0_374 & aNaturalNumber0(xp) = all_668_3_377 & aNaturalNumber0(xm) = all_668_4_378 & aNaturalNumber0(xn) = all_668_2_376 & ( ~ (all_668_2_376 = 0) | ~ (all_668_3_377 = 0) | ~ (all_668_4_378 = 0) | ( ~ (all_668_0_374 = all_668_1_375) & ~ (all_14_1_16 = all_0_11_11)))
% 85.39/44.44 |
% 85.39/44.44 | Applying alpha-rule on (1399) yields:
% 85.39/44.44 | (1400) aNaturalNumber0(xn) = all_668_2_376
% 85.39/44.44 | (1401) sdtpldt0(xp, xm) = all_668_1_375
% 85.39/44.44 | (1402) aNaturalNumber0(xp) = all_668_3_377
% 85.39/44.44 | (1403) aNaturalNumber0(xm) = all_668_4_378
% 85.39/44.44 | (1404) sdtpldt0(xn, xm) = all_668_0_374
% 85.39/44.44 | (1405) ~ (all_668_2_376 = 0) | ~ (all_668_3_377 = 0) | ~ (all_668_4_378 = 0) | ( ~ (all_668_0_374 = all_668_1_375) & ~ (all_14_1_16 = all_0_11_11))
% 85.39/44.44 |
% 85.39/44.44 +-Applying beta-rule and splitting (1394), into two cases.
% 85.39/44.44 |-Branch one:
% 85.39/44.44 | (1406) ~ (all_43_2_75 = 0)
% 85.39/44.44 |
% 85.39/44.44 | Equations (430) can reduce 1406 to:
% 85.39/44.44 | (259) $false
% 85.39/44.44 |
% 85.39/44.44 |-The branch is then unsatisfiable
% 85.39/44.44 |-Branch two:
% 85.39/44.44 | (430) all_43_2_75 = 0
% 85.39/44.44 | (1409) all_43_0_73 = 0
% 85.39/44.44 |
% 85.39/44.44 | Combining equations (646,1409) yields a new equation:
% 85.39/44.44 | (1410) all_32_2_57 = 0
% 85.39/44.44 |
% 85.39/44.44 | Simplifying 1410 yields:
% 85.39/44.44 | (1411) all_32_2_57 = 0
% 85.39/44.44 |
% 85.39/44.44 | Combining equations (1411,316) yields a new equation:
% 85.39/44.44 | (1412) all_34_2_60 = 0
% 85.39/44.44 |
% 85.39/44.44 | From (1411) and (190) follows:
% 85.39/44.44 | (1413) aNaturalNumber0(all_0_2_2) = 0
% 85.39/44.44 |
% 85.39/44.44 +-Applying beta-rule and splitting (1116), into two cases.
% 85.39/44.44 |-Branch one:
% 85.39/44.44 | (1414) ~ (sdtasdt0(xr, all_0_1_1) = xk)
% 85.39/44.44 |
% 85.39/44.44 | Using (1360) and (1414) yields:
% 85.39/44.44 | (452) $false
% 85.39/44.44 |
% 85.39/44.44 |-The branch is then unsatisfiable
% 85.39/44.44 |-Branch two:
% 85.39/44.44 | (1360) sdtasdt0(xr, all_0_1_1) = xk
% 85.39/44.44 | (1417) all_424_0_288 = xk
% 85.39/44.44 |
% 85.39/44.44 | From (1417) and (987) follows:
% 85.39/44.44 | (1360) sdtasdt0(xr, all_0_1_1) = xk
% 85.39/44.44 |
% 85.39/44.44 +-Applying beta-rule and splitting (738), into two cases.
% 85.39/44.44 |-Branch one:
% 85.39/44.44 | (263) xr = sz00
% 85.39/44.44 |
% 85.39/44.44 | Equations (263) can reduce 100 to:
% 85.39/44.44 | (259) $false
% 85.39/44.44 |
% 85.39/44.44 |-The branch is then unsatisfiable
% 85.39/44.44 |-Branch two:
% 85.39/44.44 | (100) ~ (xr = sz00)
% 85.39/44.44 | (1422) all_0_2_2 = all_0_4_4 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(all_0_2_2, xr) = v2 & sdtasdt0(all_0_4_4, xr) = v3 & aNaturalNumber0(all_0_2_2) = v0 & aNaturalNumber0(all_0_4_4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ (all_56_0_100 = all_34_0_58))))
% 85.39/44.44 |
% 85.39/44.44 +-Applying beta-rule and splitting (1422), into two cases.
% 85.39/44.44 |-Branch one:
% 85.39/44.44 | (1423) all_0_2_2 = all_0_4_4
% 85.39/44.44 |
% 85.39/44.44 | Equations (1423) can reduce 640 to:
% 85.39/44.44 | (259) $false
% 85.39/44.44 |
% 85.39/44.44 |-The branch is then unsatisfiable
% 85.39/44.44 |-Branch two:
% 85.39/44.44 | (640) ~ (all_0_2_2 = all_0_4_4)
% 85.39/44.44 | (1426) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(all_0_2_2, xr) = v2 & sdtasdt0(all_0_4_4, xr) = v3 & aNaturalNumber0(all_0_2_2) = v0 & aNaturalNumber0(all_0_4_4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ (all_56_0_100 = all_34_0_58))))
% 85.39/44.44 |
% 85.39/44.44 | Instantiating (1426) with all_686_0_379, all_686_1_380, all_686_2_381, all_686_3_382 yields:
% 85.39/44.44 | (1427) sdtasdt0(all_0_2_2, xr) = all_686_1_380 & sdtasdt0(all_0_4_4, xr) = all_686_0_379 & aNaturalNumber0(all_0_2_2) = all_686_3_382 & aNaturalNumber0(all_0_4_4) = all_686_2_381 & ( ~ (all_686_2_381 = 0) | ~ (all_686_3_382 = 0) | ( ~ (all_686_0_379 = all_686_1_380) & ~ (all_56_0_100 = all_34_0_58)))
% 85.39/44.44 |
% 85.39/44.44 | Applying alpha-rule on (1427) yields:
% 85.39/44.44 | (1428) ~ (all_686_2_381 = 0) | ~ (all_686_3_382 = 0) | ( ~ (all_686_0_379 = all_686_1_380) & ~ (all_56_0_100 = all_34_0_58))
% 85.39/44.44 | (1429) aNaturalNumber0(all_0_4_4) = all_686_2_381
% 85.39/44.44 | (1430) aNaturalNumber0(all_0_2_2) = all_686_3_382
% 85.39/44.44 | (1431) sdtasdt0(all_0_2_2, xr) = all_686_1_380
% 85.39/44.44 | (1432) sdtasdt0(all_0_4_4, xr) = all_686_0_379
% 85.39/44.44 |
% 85.39/44.44 +-Applying beta-rule and splitting (722), into two cases.
% 85.39/44.44 |-Branch one:
% 85.39/44.44 | (1433) ~ (sdtasdt0(all_0_1_1, xp) = all_0_2_2)
% 85.39/44.44 |
% 85.39/44.44 | Using (1382) and (1433) yields:
% 85.39/44.44 | (452) $false
% 85.39/44.44 |
% 85.39/44.44 |-The branch is then unsatisfiable
% 85.39/44.44 |-Branch two:
% 85.39/44.44 | (1382) sdtasdt0(all_0_1_1, xp) = all_0_2_2
% 85.39/44.44 | (1436) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_1_1, v3) = v4 & sdtasdt0(xp, xr) = v3 & aNaturalNumber0(all_0_1_1) = v0 & aNaturalNumber0(xr) = v2 & aNaturalNumber0(xp) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_9_9))
% 85.39/44.44 |
% 85.39/44.44 | Instantiating (1436) with all_715_0_383, all_715_1_384, all_715_2_385, all_715_3_386, all_715_4_387 yields:
% 85.39/44.44 | (1437) sdtasdt0(all_0_1_1, all_715_1_384) = all_715_0_383 & sdtasdt0(xp, xr) = all_715_1_384 & aNaturalNumber0(all_0_1_1) = all_715_4_387 & aNaturalNumber0(xr) = all_715_2_385 & aNaturalNumber0(xp) = all_715_3_386 & ( ~ (all_715_2_385 = 0) | ~ (all_715_3_386 = 0) | ~ (all_715_4_387 = 0) | all_715_0_383 = all_0_9_9)
% 85.39/44.44 |
% 85.39/44.44 | Applying alpha-rule on (1437) yields:
% 85.39/44.44 | (1438) ~ (all_715_2_385 = 0) | ~ (all_715_3_386 = 0) | ~ (all_715_4_387 = 0) | all_715_0_383 = all_0_9_9
% 85.39/44.44 | (1439) aNaturalNumber0(xp) = all_715_3_386
% 85.39/44.44 | (1440) sdtasdt0(all_0_1_1, all_715_1_384) = all_715_0_383
% 85.39/44.44 | (1441) sdtasdt0(xp, xr) = all_715_1_384
% 85.39/44.44 | (1442) aNaturalNumber0(all_0_1_1) = all_715_4_387
% 85.39/44.44 | (1443) aNaturalNumber0(xr) = all_715_2_385
% 85.39/44.44 |
% 85.39/44.44 +-Applying beta-rule and splitting (731), into two cases.
% 85.39/44.44 |-Branch one:
% 85.39/44.44 | (1414) ~ (sdtasdt0(xr, all_0_1_1) = xk)
% 85.39/44.44 |
% 85.39/44.44 | Using (1360) and (1414) yields:
% 85.39/44.44 | (452) $false
% 85.39/44.44 |
% 85.39/44.44 |-The branch is then unsatisfiable
% 85.39/44.44 |-Branch two:
% 85.39/44.44 | (1360) sdtasdt0(xr, all_0_1_1) = xk
% 85.39/44.44 | (1447) xr = sz00 | ? [v0] : ? [v1] : ? [v2] : ((v0 = 0 & aNaturalNumber0(all_0_1_1) = 0) | (doDivides0(xr, xk) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xk) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 85.39/44.44 |
% 85.39/44.44 +-Applying beta-rule and splitting (830), into two cases.
% 85.39/44.44 |-Branch one:
% 85.39/44.44 | (1448) ~ (all_376_2_178 = 0)
% 85.39/44.44 |
% 85.39/44.44 | Equations (1304) can reduce 1448 to:
% 85.39/44.44 | (259) $false
% 85.39/44.44 |
% 85.39/44.44 |-The branch is then unsatisfiable
% 85.39/44.44 |-Branch two:
% 85.39/44.44 | (1304) all_376_2_178 = 0
% 85.39/44.44 | (1451) ~ (all_376_3_179 = 0) | ~ (all_376_4_180 = 0) | all_376_0_176 = all_0_9_9
% 85.39/44.44 |
% 85.39/44.44 +-Applying beta-rule and splitting (1451), into two cases.
% 85.39/44.44 |-Branch one:
% 85.39/44.44 | (1452) ~ (all_376_3_179 = 0)
% 85.39/44.44 |
% 85.39/44.44 | Equations (1122) can reduce 1452 to:
% 85.39/44.44 | (259) $false
% 85.39/44.44 |
% 85.39/44.44 |-The branch is then unsatisfiable
% 85.39/44.44 |-Branch two:
% 85.39/44.44 | (1122) all_376_3_179 = 0
% 85.39/44.44 | (1455) ~ (all_376_4_180 = 0) | all_376_0_176 = all_0_9_9
% 85.39/44.44 |
% 85.39/44.44 +-Applying beta-rule and splitting (1455), into two cases.
% 85.39/44.44 |-Branch one:
% 85.39/44.44 | (1456) ~ (all_376_4_180 = 0)
% 85.39/44.44 |
% 85.39/44.44 | Equations (1272) can reduce 1456 to:
% 85.39/44.44 | (259) $false
% 85.39/44.44 |
% 85.39/44.44 |-The branch is then unsatisfiable
% 85.39/44.44 |-Branch two:
% 85.39/44.44 | (1272) all_376_4_180 = 0
% 85.39/44.44 | (1459) all_376_0_176 = all_0_9_9
% 85.39/44.45 |
% 85.39/44.45 | From (1459) and (827) follows:
% 85.39/44.45 | (1460) sdtasdt0(xr, all_376_1_177) = all_0_9_9
% 85.39/44.45 |
% 85.39/44.45 +-Applying beta-rule and splitting (198), into two cases.
% 85.39/44.45 |-Branch one:
% 85.39/44.45 | (1461) ~ (all_34_1_59 = 0)
% 85.39/44.45 |
% 85.39/44.45 | Equations (404) can reduce 1461 to:
% 85.39/44.45 | (259) $false
% 85.39/44.45 |
% 85.39/44.45 |-The branch is then unsatisfiable
% 85.39/44.45 |-Branch two:
% 85.39/44.45 | (404) all_34_1_59 = 0
% 85.39/44.45 | (1464) ~ (all_34_2_60 = 0) | all_34_0_58 = all_0_9_9
% 85.39/44.45 |
% 85.39/44.45 +-Applying beta-rule and splitting (1447), into two cases.
% 85.39/44.45 |-Branch one:
% 85.39/44.45 | (263) xr = sz00
% 85.39/44.45 |
% 85.39/44.45 | Equations (263) can reduce 100 to:
% 85.39/44.45 | (259) $false
% 85.39/44.45 |
% 85.39/44.45 |-The branch is then unsatisfiable
% 85.39/44.45 |-Branch two:
% 85.39/44.45 | (100) ~ (xr = sz00)
% 85.39/44.45 | (1468) ? [v0] : ? [v1] : ? [v2] : ((v0 = 0 & aNaturalNumber0(all_0_1_1) = 0) | (doDivides0(xr, xk) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xk) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 85.39/44.45 |
% 85.39/44.45 +-Applying beta-rule and splitting (1464), into two cases.
% 85.39/44.45 |-Branch one:
% 85.39/44.45 | (1469) ~ (all_34_2_60 = 0)
% 85.39/44.45 |
% 85.39/44.45 | Equations (1412) can reduce 1469 to:
% 85.39/44.45 | (259) $false
% 85.39/44.45 |
% 85.39/44.45 |-The branch is then unsatisfiable
% 85.39/44.45 |-Branch two:
% 85.39/44.45 | (1412) all_34_2_60 = 0
% 85.39/44.45 | (1472) all_34_0_58 = all_0_9_9
% 85.39/44.45 |
% 85.39/44.45 +-Applying beta-rule and splitting (798), into two cases.
% 85.39/44.45 |-Branch one:
% 85.39/44.45 | (1473) ~ (all_360_1_151 = 0)
% 85.39/44.45 |
% 85.39/44.45 | Equations (1317) can reduce 1473 to:
% 85.39/44.45 | (259) $false
% 85.39/44.45 |
% 85.39/44.45 |-The branch is then unsatisfiable
% 85.39/44.45 |-Branch two:
% 85.39/44.45 | (1317) all_360_1_151 = 0
% 85.39/44.45 | (1476) ~ (all_360_2_152 = 0) | all_360_0_150 = xk
% 85.39/44.45 |
% 85.39/44.45 +-Applying beta-rule and splitting (1114), into two cases.
% 85.39/44.45 |-Branch one:
% 85.39/44.45 | (1477) ~ (sdtasdt0(all_0_1_1, xp) = all_376_1_177)
% 85.39/44.45 |
% 85.39/44.45 | Using (1359) and (1477) yields:
% 85.39/44.45 | (452) $false
% 85.39/44.45 |
% 85.39/44.45 |-The branch is then unsatisfiable
% 85.39/44.45 |-Branch two:
% 85.39/44.45 | (1359) sdtasdt0(all_0_1_1, xp) = all_376_1_177
% 85.39/44.45 | (1480) all_376_1_177 = all_45_0_76
% 85.39/44.45 |
% 85.39/44.45 | Combining equations (1381,1480) yields a new equation:
% 85.39/44.45 | (1481) all_376_1_177 = all_0_2_2
% 85.39/44.45 |
% 85.39/44.45 | From (1481) and (1460) follows:
% 85.39/44.45 | (1482) sdtasdt0(xr, all_0_2_2) = all_0_9_9
% 85.39/44.45 |
% 85.39/44.45 +-Applying beta-rule and splitting (725), into two cases.
% 85.39/44.45 |-Branch one:
% 85.39/44.45 | (1483) ~ (sdtasdt0(xr, all_0_2_2) = all_0_9_9)
% 85.39/44.45 |
% 85.39/44.45 | Using (1482) and (1483) yields:
% 85.39/44.45 | (452) $false
% 85.39/44.45 |
% 85.39/44.45 |-The branch is then unsatisfiable
% 85.39/44.45 |-Branch two:
% 85.39/44.45 | (1482) sdtasdt0(xr, all_0_2_2) = all_0_9_9
% 85.39/44.45 | (734) xr = sz00 | ? [v0] : ? [v1] : ? [v2] : ((v0 = 0 & aNaturalNumber0(all_0_2_2) = 0) | (doDivides0(xr, all_0_9_9) = v2 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 85.39/44.45 |
% 85.39/44.45 +-Applying beta-rule and splitting (1476), into two cases.
% 85.39/44.45 |-Branch one:
% 85.39/44.45 | (1487) ~ (all_360_2_152 = 0)
% 85.39/44.45 |
% 85.39/44.45 | Equations (1329) can reduce 1487 to:
% 85.39/44.45 | (259) $false
% 85.39/44.45 |
% 85.39/44.45 |-The branch is then unsatisfiable
% 85.39/44.45 |-Branch two:
% 85.39/44.45 | (1329) all_360_2_152 = 0
% 85.39/44.45 | (1490) all_360_0_150 = xk
% 85.39/44.45 |
% 85.39/44.45 | From (1490) and (1358) follows:
% 85.39/44.45 | (1491) sdtasdt0(all_0_1_1, xr) = xk
% 85.39/44.45 |
% 85.39/44.45 +-Applying beta-rule and splitting (742), into two cases.
% 85.39/44.45 |-Branch one:
% 85.39/44.45 | (1492) ~ (sdtasdt0(all_0_1_1, xr) = xk)
% 85.39/44.45 |
% 85.39/44.45 | Using (1491) and (1492) yields:
% 85.39/44.45 | (452) $false
% 85.39/44.45 |
% 85.39/44.45 |-The branch is then unsatisfiable
% 85.39/44.45 |-Branch two:
% 85.39/44.45 | (1491) sdtasdt0(all_0_1_1, xr) = xk
% 85.39/44.45 | (1495) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_1_1, v3) = v4 & sdtasdt0(xr, xp) = v3 & aNaturalNumber0(all_0_1_1) = v0 & aNaturalNumber0(xr) = v1 & aNaturalNumber0(xp) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_9_9))
% 85.39/44.45 |
% 85.39/44.45 | Instantiating (1495) with all_910_0_392, all_910_1_393, all_910_2_394, all_910_3_395, all_910_4_396 yields:
% 85.39/44.45 | (1496) sdtasdt0(all_0_1_1, all_910_1_393) = all_910_0_392 & sdtasdt0(xr, xp) = all_910_1_393 & aNaturalNumber0(all_0_1_1) = all_910_4_396 & aNaturalNumber0(xr) = all_910_3_395 & aNaturalNumber0(xp) = all_910_2_394 & ( ~ (all_910_2_394 = 0) | ~ (all_910_3_395 = 0) | ~ (all_910_4_396 = 0) | all_910_0_392 = all_0_9_9)
% 85.39/44.45 |
% 85.39/44.45 | Applying alpha-rule on (1496) yields:
% 85.39/44.45 | (1497) aNaturalNumber0(xr) = all_910_3_395
% 85.39/44.45 | (1498) sdtasdt0(all_0_1_1, all_910_1_393) = all_910_0_392
% 85.39/44.45 | (1499) aNaturalNumber0(all_0_1_1) = all_910_4_396
% 85.39/44.45 | (1500) aNaturalNumber0(xp) = all_910_2_394
% 85.39/44.45 | (1501) sdtasdt0(xr, xp) = all_910_1_393
% 85.39/44.45 | (1502) ~ (all_910_2_394 = 0) | ~ (all_910_3_395 = 0) | ~ (all_910_4_396 = 0) | all_910_0_392 = all_0_9_9
% 85.39/44.45 |
% 85.39/44.45 +-Applying beta-rule and splitting (734), into two cases.
% 85.39/44.45 |-Branch one:
% 85.39/44.45 | (263) xr = sz00
% 85.39/44.45 |
% 85.39/44.45 | Equations (263) can reduce 100 to:
% 85.39/44.45 | (259) $false
% 85.39/44.45 |
% 85.39/44.45 |-The branch is then unsatisfiable
% 85.39/44.45 |-Branch two:
% 85.39/44.45 | (100) ~ (xr = sz00)
% 85.39/44.45 | (1062) ? [v0] : ? [v1] : ? [v2] : ((v0 = 0 & aNaturalNumber0(all_0_2_2) = 0) | (doDivides0(xr, all_0_9_9) = v2 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 85.39/44.45 |
% 85.39/44.45 | Instantiating formula (74) with all_0_2_2, all_686_3_382, 0 and discharging atoms aNaturalNumber0(all_0_2_2) = all_686_3_382, aNaturalNumber0(all_0_2_2) = 0, yields:
% 85.39/44.45 | (1507) all_686_3_382 = 0
% 85.39/44.45 |
% 85.39/44.45 | Instantiating formula (74) with all_0_4_4, all_686_2_381, all_20_0_26 and discharging atoms aNaturalNumber0(all_0_4_4) = all_686_2_381, aNaturalNumber0(all_0_4_4) = all_20_0_26, yields:
% 85.39/44.45 | (1508) all_686_2_381 = all_20_0_26
% 85.39/44.45 |
% 85.39/44.45 | Instantiating formula (74) with xr, all_910_3_395, 0 and discharging atoms aNaturalNumber0(xr) = all_910_3_395, aNaturalNumber0(xr) = 0, yields:
% 85.39/44.45 | (1509) all_910_3_395 = 0
% 85.39/44.45 |
% 85.39/44.45 | Instantiating formula (74) with xr, all_715_2_385, all_910_3_395 and discharging atoms aNaturalNumber0(xr) = all_910_3_395, aNaturalNumber0(xr) = all_715_2_385, yields:
% 85.39/44.45 | (1510) all_910_3_395 = all_715_2_385
% 85.39/44.45 |
% 85.39/44.45 | Instantiating formula (74) with xm, all_668_4_378, 0 and discharging atoms aNaturalNumber0(xm) = all_668_4_378, aNaturalNumber0(xm) = 0, yields:
% 85.39/44.45 | (1511) all_668_4_378 = 0
% 85.39/44.45 |
% 85.39/44.45 | Instantiating formula (74) with xn, all_668_2_376, 0 and discharging atoms aNaturalNumber0(xn) = all_668_2_376, aNaturalNumber0(xn) = 0, yields:
% 85.39/44.45 | (1512) all_668_2_376 = 0
% 85.39/44.45 |
% 85.39/44.45 | Combining equations (1510,1509) yields a new equation:
% 85.39/44.45 | (1513) all_715_2_385 = 0
% 85.39/44.45 |
% 85.39/44.45 | Simplifying 1513 yields:
% 85.39/44.45 | (1514) all_715_2_385 = 0
% 85.39/44.45 |
% 85.39/44.45 | From (1514) and (1443) follows:
% 85.39/44.45 | (18) aNaturalNumber0(xr) = 0
% 85.39/44.45 |
% 85.39/44.45 | From (1511) and (1403) follows:
% 85.39/44.45 | (91) aNaturalNumber0(xm) = 0
% 85.39/44.45 |
% 85.39/44.45 | From (1512) and (1400) follows:
% 85.39/44.45 | (97) aNaturalNumber0(xn) = 0
% 85.39/44.45 |
% 85.39/44.45 +-Applying beta-rule and splitting (728), into two cases.
% 85.39/44.45 |-Branch one:
% 85.39/44.45 | (263) xr = sz00
% 85.39/44.45 |
% 85.39/44.45 | Equations (263) can reduce 100 to:
% 85.39/44.45 | (259) $false
% 85.39/44.45 |
% 85.39/44.45 |-The branch is then unsatisfiable
% 85.39/44.45 |-Branch two:
% 85.39/44.45 | (100) ~ (xr = sz00)
% 85.39/44.45 | (1521) all_29_2_49 = all_0_5_5 | ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & aNaturalNumber0(all_29_2_49) = v0) | (doDivides0(xr, xn) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 85.39/44.45 |
% 85.39/44.45 +-Applying beta-rule and splitting (771), into two cases.
% 85.39/44.45 |-Branch one:
% 85.39/44.45 | (1395) xp = xn
% 85.39/44.45 |
% 85.39/44.45 | Equations (1395) can reduce 51 to:
% 85.39/44.45 | (259) $false
% 85.39/44.45 |
% 85.39/44.45 |-The branch is then unsatisfiable
% 85.39/44.45 |-Branch two:
% 85.39/44.45 | (51) ~ (xp = xn)
% 85.39/44.45 | (1525) ? [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_14_1_16 = all_0_11_11))))
% 85.39/44.45 |
% 85.39/44.45 | Instantiating (1525) with all_952_0_400, all_952_1_401, all_952_2_402, all_952_3_403, all_952_4_404 yields:
% 85.39/44.45 | (1526) sdtpldt0(xp, xm) = all_952_0_400 & sdtpldt0(xn, xm) = all_952_1_401 & aNaturalNumber0(xp) = all_952_2_402 & aNaturalNumber0(xm) = all_952_4_404 & aNaturalNumber0(xn) = all_952_3_403 & ( ~ (all_952_2_402 = 0) | ~ (all_952_3_403 = 0) | ~ (all_952_4_404 = 0) | ( ~ (all_952_0_400 = all_952_1_401) & ~ (all_14_1_16 = all_0_11_11)))
% 85.39/44.45 |
% 85.39/44.45 | Applying alpha-rule on (1526) yields:
% 85.39/44.45 | (1527) aNaturalNumber0(xm) = all_952_4_404
% 85.39/44.45 | (1528) sdtpldt0(xp, xm) = all_952_0_400
% 85.39/44.45 | (1529) ~ (all_952_2_402 = 0) | ~ (all_952_3_403 = 0) | ~ (all_952_4_404 = 0) | ( ~ (all_952_0_400 = all_952_1_401) & ~ (all_14_1_16 = all_0_11_11))
% 85.39/44.45 | (1530) sdtpldt0(xn, xm) = all_952_1_401
% 85.39/44.45 | (1531) aNaturalNumber0(xp) = all_952_2_402
% 85.39/44.45 | (1532) aNaturalNumber0(xn) = all_952_3_403
% 85.39/44.45 |
% 85.39/44.45 +-Applying beta-rule and splitting (735), into two cases.
% 85.39/44.45 |-Branch one:
% 85.39/44.45 | (263) xr = sz00
% 85.39/44.45 |
% 85.39/44.45 | Equations (263) can reduce 100 to:
% 85.39/44.45 | (259) $false
% 85.39/44.45 |
% 85.39/44.45 |-The branch is then unsatisfiable
% 85.39/44.45 |-Branch two:
% 85.39/44.45 | (100) ~ (xr = sz00)
% 85.39/44.45 | (1536) all_38_2_66 = all_0_2_2 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(all_38_2_66, xr) = v2 & sdtasdt0(all_0_2_2, xr) = v3 & aNaturalNumber0(all_38_2_66) = v0 & aNaturalNumber0(all_0_2_2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ (all_34_0_58 = all_0_9_9))))
% 85.39/44.45 |
% 85.39/44.45 +-Applying beta-rule and splitting (739), into two cases.
% 85.39/44.45 |-Branch one:
% 85.39/44.45 | (263) xr = sz00
% 85.39/44.45 |
% 85.39/44.45 | Equations (263) can reduce 100 to:
% 85.39/44.45 | (259) $false
% 85.39/44.45 |
% 85.39/44.45 |-The branch is then unsatisfiable
% 85.39/44.45 |-Branch two:
% 85.39/44.45 | (100) ~ (xr = sz00)
% 85.39/44.45 | (1540) all_0_2_2 = all_0_4_4 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(all_0_2_2, xr) = v3 & sdtasdt0(all_0_4_4, xr) = v2 & aNaturalNumber0(all_0_2_2) = v1 & aNaturalNumber0(all_0_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ (all_56_0_100 = all_34_0_58))))
% 85.39/44.45 |
% 85.39/44.45 +-Applying beta-rule and splitting (1428), into two cases.
% 85.39/44.45 |-Branch one:
% 85.39/44.45 | (1541) ~ (all_686_2_381 = 0)
% 85.39/44.45 |
% 85.39/44.45 | Equations (1508) can reduce 1541 to:
% 85.39/44.45 | (1542) ~ (all_20_0_26 = 0)
% 85.39/44.45 |
% 85.39/44.45 +-Applying beta-rule and splitting (171), into two cases.
% 85.39/44.45 |-Branch one:
% 85.39/44.45 | (1543) ~ (all_20_1_27 = 0)
% 85.39/44.45 |
% 85.39/44.45 | Equations (414) can reduce 1543 to:
% 85.39/44.45 | (259) $false
% 85.39/44.45 |
% 85.39/44.45 |-The branch is then unsatisfiable
% 85.39/44.45 |-Branch two:
% 85.39/44.45 | (414) all_20_1_27 = 0
% 85.39/44.45 | (1546) ~ (all_20_2_28 = 0) | all_20_0_26 = 0
% 85.39/44.45 |
% 85.39/44.45 +-Applying beta-rule and splitting (1546), into two cases.
% 85.39/44.45 |-Branch one:
% 85.39/44.45 | (1547) ~ (all_20_2_28 = 0)
% 85.39/44.45 |
% 85.39/44.45 +-Applying beta-rule and splitting (1174), into two cases.
% 85.39/44.45 |-Branch one:
% 85.39/44.45 | (1548) ~ (aNaturalNumber0(xm) = all_20_2_28)
% 85.39/44.45 |
% 85.39/44.45 | Instantiating formula (74) with xm, all_952_4_404, 0 and discharging atoms aNaturalNumber0(xm) = all_952_4_404, aNaturalNumber0(xm) = 0, yields:
% 85.39/44.45 | (1549) all_952_4_404 = 0
% 85.39/44.45 |
% 85.39/44.45 | Instantiating formula (74) with xn, all_952_3_403, 0 and discharging atoms aNaturalNumber0(xn) = all_952_3_403, aNaturalNumber0(xn) = 0, yields:
% 85.39/44.45 | (1550) all_952_3_403 = 0
% 85.39/44.45 |
% 85.39/44.45 | Using (1527) and (1548) yields:
% 85.39/44.45 | (1551) ~ (all_952_4_404 = all_20_2_28)
% 85.39/44.45 |
% 85.39/44.45 | Equations (1549) can reduce 1551 to:
% 85.39/44.45 | (1552) ~ (all_20_2_28 = 0)
% 85.39/44.45 |
% 85.39/44.45 | Simplifying 1552 yields:
% 85.39/44.45 | (1547) ~ (all_20_2_28 = 0)
% 85.39/44.45 |
% 85.39/44.45 | From (1550) and (1532) follows:
% 85.39/44.45 | (97) aNaturalNumber0(xn) = 0
% 85.39/44.45 |
% 85.39/44.45 +-Applying beta-rule and splitting (727), into two cases.
% 85.39/44.45 |-Branch one:
% 85.39/44.45 | (1555) ~ (sdtasdt0(xr, all_0_5_5) = xn)
% 85.39/44.45 |
% 85.39/44.46 +-Applying beta-rule and splitting (1521), into two cases.
% 85.39/44.46 |-Branch one:
% 85.39/44.46 | (1556) all_29_2_49 = all_0_5_5
% 85.39/44.46 |
% 85.39/44.46 | From (1556) and (449) follows:
% 85.39/44.46 | (1557) sdtasdt0(xr, all_0_5_5) = xn
% 85.39/44.46 |
% 85.39/44.46 | Using (1557) and (1555) yields:
% 85.39/44.46 | (452) $false
% 85.39/44.46 |
% 85.39/44.46 |-The branch is then unsatisfiable
% 85.39/44.46 |-Branch two:
% 85.39/44.46 | (1559) ~ (all_29_2_49 = all_0_5_5)
% 85.39/44.46 | (1560) ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & aNaturalNumber0(all_29_2_49) = v0) | (doDivides0(xr, xn) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 85.39/44.46 |
% 85.39/44.46 | Instantiating (1560) with all_1156_0_416, all_1156_1_417, all_1156_2_418 yields:
% 85.39/44.46 | (1561) ( ~ (all_1156_2_418 = 0) & aNaturalNumber0(all_29_2_49) = all_1156_2_418) | (doDivides0(xr, xn) = all_1156_0_416 & aNaturalNumber0(xr) = all_1156_2_418 & aNaturalNumber0(xn) = all_1156_1_417 & ( ~ (all_1156_0_416 = 0) | ~ (all_1156_1_417 = 0) | ~ (all_1156_2_418 = 0)))
% 85.39/44.46 |
% 85.39/44.46 +-Applying beta-rule and splitting (1561), into two cases.
% 85.39/44.46 |-Branch one:
% 85.39/44.46 | (1562) ~ (all_1156_2_418 = 0) & aNaturalNumber0(all_29_2_49) = all_1156_2_418
% 85.39/44.46 |
% 85.39/44.46 | Applying alpha-rule on (1562) yields:
% 85.39/44.46 | (1563) ~ (all_1156_2_418 = 0)
% 85.39/44.46 | (1564) aNaturalNumber0(all_29_2_49) = all_1156_2_418
% 85.39/44.46 |
% 85.39/44.46 | Instantiating formula (74) with all_29_2_49, all_1156_2_418, 0 and discharging atoms aNaturalNumber0(all_29_2_49) = all_1156_2_418, aNaturalNumber0(all_29_2_49) = 0, yields:
% 85.39/44.46 | (1565) all_1156_2_418 = 0
% 85.39/44.46 |
% 85.39/44.46 | Equations (1565) can reduce 1563 to:
% 85.39/44.46 | (259) $false
% 85.39/44.46 |
% 85.39/44.46 |-The branch is then unsatisfiable
% 85.39/44.46 |-Branch two:
% 85.39/44.46 | (1567) doDivides0(xr, xn) = all_1156_0_416 & aNaturalNumber0(xr) = all_1156_2_418 & aNaturalNumber0(xn) = all_1156_1_417 & ( ~ (all_1156_0_416 = 0) | ~ (all_1156_1_417 = 0) | ~ (all_1156_2_418 = 0))
% 85.39/44.46 |
% 85.39/44.46 | Applying alpha-rule on (1567) yields:
% 85.39/44.46 | (1568) doDivides0(xr, xn) = all_1156_0_416
% 85.39/44.46 | (1569) aNaturalNumber0(xr) = all_1156_2_418
% 85.39/44.46 | (1570) aNaturalNumber0(xn) = all_1156_1_417
% 85.39/44.46 | (1571) ~ (all_1156_0_416 = 0) | ~ (all_1156_1_417 = 0) | ~ (all_1156_2_418 = 0)
% 85.39/44.46 |
% 85.39/44.46 | Instantiating formula (46) with xr, xn, all_1156_0_416, 0 and discharging atoms doDivides0(xr, xn) = all_1156_0_416, doDivides0(xr, xn) = 0, yields:
% 85.39/44.46 | (1572) all_1156_0_416 = 0
% 85.39/44.46 |
% 85.39/44.46 | Instantiating formula (74) with xr, all_1156_2_418, 0 and discharging atoms aNaturalNumber0(xr) = all_1156_2_418, aNaturalNumber0(xr) = 0, yields:
% 85.39/44.46 | (1565) all_1156_2_418 = 0
% 85.39/44.46 |
% 85.39/44.46 | Instantiating formula (74) with xn, all_1156_1_417, 0 and discharging atoms aNaturalNumber0(xn) = all_1156_1_417, aNaturalNumber0(xn) = 0, yields:
% 85.39/44.46 | (1574) all_1156_1_417 = 0
% 85.39/44.46 |
% 85.39/44.46 +-Applying beta-rule and splitting (1571), into two cases.
% 85.39/44.46 |-Branch one:
% 85.39/44.46 | (1575) ~ (all_1156_0_416 = 0)
% 85.39/44.46 |
% 85.39/44.46 | Equations (1572) can reduce 1575 to:
% 85.39/44.46 | (259) $false
% 85.39/44.46 |
% 85.39/44.46 |-The branch is then unsatisfiable
% 85.39/44.46 |-Branch two:
% 85.39/44.46 | (1572) all_1156_0_416 = 0
% 85.39/44.46 | (1578) ~ (all_1156_1_417 = 0) | ~ (all_1156_2_418 = 0)
% 85.39/44.46 |
% 85.39/44.46 +-Applying beta-rule and splitting (1578), into two cases.
% 85.39/44.46 |-Branch one:
% 85.39/44.46 | (1579) ~ (all_1156_1_417 = 0)
% 85.39/44.46 |
% 85.39/44.46 | Equations (1574) can reduce 1579 to:
% 85.39/44.46 | (259) $false
% 85.39/44.46 |
% 85.39/44.46 |-The branch is then unsatisfiable
% 85.39/44.46 |-Branch two:
% 85.39/44.46 | (1574) all_1156_1_417 = 0
% 85.39/44.46 | (1563) ~ (all_1156_2_418 = 0)
% 85.39/44.46 |
% 85.39/44.46 | Equations (1565) can reduce 1563 to:
% 85.39/44.46 | (259) $false
% 85.39/44.46 |
% 85.39/44.46 |-The branch is then unsatisfiable
% 85.39/44.46 |-Branch two:
% 85.39/44.46 | (1557) sdtasdt0(xr, all_0_5_5) = xn
% 85.39/44.46 | (1585) xr = sz00 | ? [v0] : ? [v1] : ? [v2] : ((v0 = 0 & aNaturalNumber0(all_0_5_5) = 0) | (doDivides0(xr, xn) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 85.39/44.46 |
% 85.39/44.46 +-Applying beta-rule and splitting (1585), into two cases.
% 85.39/44.46 |-Branch one:
% 85.39/44.46 | (263) xr = sz00
% 85.39/44.46 |
% 85.39/44.46 | Equations (263) can reduce 100 to:
% 85.39/44.46 | (259) $false
% 85.39/44.46 |
% 85.39/44.46 |-The branch is then unsatisfiable
% 85.39/44.46 |-Branch two:
% 85.39/44.46 | (100) ~ (xr = sz00)
% 85.39/44.46 | (1589) ? [v0] : ? [v1] : ? [v2] : ((v0 = 0 & aNaturalNumber0(all_0_5_5) = 0) | (doDivides0(xr, xn) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 85.39/44.46 |
% 85.39/44.46 | Instantiating (1589) with all_1144_0_419, all_1144_1_420, all_1144_2_421 yields:
% 85.39/44.46 | (1590) (all_1144_2_421 = 0 & aNaturalNumber0(all_0_5_5) = 0) | (doDivides0(xr, xn) = all_1144_0_419 & aNaturalNumber0(xr) = all_1144_2_421 & aNaturalNumber0(xn) = all_1144_1_420 & ( ~ (all_1144_0_419 = 0) | ~ (all_1144_1_420 = 0) | ~ (all_1144_2_421 = 0)))
% 85.39/44.46 |
% 85.39/44.46 +-Applying beta-rule and splitting (1590), into two cases.
% 85.39/44.46 |-Branch one:
% 85.39/44.46 | (1591) all_1144_2_421 = 0 & aNaturalNumber0(all_0_5_5) = 0
% 85.39/44.46 |
% 85.39/44.46 | Applying alpha-rule on (1591) yields:
% 85.39/44.46 | (1592) all_1144_2_421 = 0
% 85.39/44.46 | (1593) aNaturalNumber0(all_0_5_5) = 0
% 85.39/44.46 |
% 85.39/44.46 +-Applying beta-rule and splitting (1128), into two cases.
% 85.39/44.46 |-Branch one:
% 85.39/44.46 | (1594) ~ (aNaturalNumber0(all_0_5_5) = all_366_2_161)
% 85.39/44.46 |
% 85.39/44.46 | From (1368) and (1594) follows:
% 85.39/44.46 | (1595) ~ (aNaturalNumber0(all_0_5_5) = 0)
% 85.39/44.46 |
% 85.39/44.46 | Using (1593) and (1595) yields:
% 85.39/44.46 | (452) $false
% 85.39/44.46 |
% 85.39/44.46 |-The branch is then unsatisfiable
% 85.39/44.46 |-Branch two:
% 85.39/44.46 | (1597) aNaturalNumber0(all_0_5_5) = all_366_2_161
% 85.39/44.46 | (1598) all_366_2_161 = all_20_2_28
% 85.39/44.46 |
% 85.39/44.46 | Combining equations (1368,1598) yields a new equation:
% 85.39/44.46 | (1599) all_20_2_28 = 0
% 85.39/44.46 |
% 85.39/44.46 | Equations (1599) can reduce 1547 to:
% 85.39/44.46 | (259) $false
% 85.39/44.46 |
% 85.39/44.46 |-The branch is then unsatisfiable
% 85.39/44.46 |-Branch two:
% 85.39/44.46 | (1601) doDivides0(xr, xn) = all_1144_0_419 & aNaturalNumber0(xr) = all_1144_2_421 & aNaturalNumber0(xn) = all_1144_1_420 & ( ~ (all_1144_0_419 = 0) | ~ (all_1144_1_420 = 0) | ~ (all_1144_2_421 = 0))
% 85.39/44.46 |
% 85.39/44.46 | Applying alpha-rule on (1601) yields:
% 85.39/44.46 | (1602) doDivides0(xr, xn) = all_1144_0_419
% 85.39/44.46 | (1603) aNaturalNumber0(xr) = all_1144_2_421
% 85.39/44.46 | (1604) aNaturalNumber0(xn) = all_1144_1_420
% 85.39/44.46 | (1605) ~ (all_1144_0_419 = 0) | ~ (all_1144_1_420 = 0) | ~ (all_1144_2_421 = 0)
% 85.39/44.46 |
% 85.39/44.46 | Instantiating formula (46) with xr, xn, all_1144_0_419, 0 and discharging atoms doDivides0(xr, xn) = all_1144_0_419, doDivides0(xr, xn) = 0, yields:
% 85.39/44.46 | (1606) all_1144_0_419 = 0
% 85.39/44.46 |
% 85.39/44.46 | Instantiating formula (74) with xr, all_1144_2_421, 0 and discharging atoms aNaturalNumber0(xr) = all_1144_2_421, aNaturalNumber0(xr) = 0, yields:
% 85.39/44.46 | (1592) all_1144_2_421 = 0
% 85.39/44.46 |
% 85.39/44.46 | Instantiating formula (74) with xn, all_1144_1_420, 0 and discharging atoms aNaturalNumber0(xn) = all_1144_1_420, aNaturalNumber0(xn) = 0, yields:
% 85.39/44.46 | (1608) all_1144_1_420 = 0
% 85.39/44.46 |
% 85.39/44.46 +-Applying beta-rule and splitting (1605), into two cases.
% 85.39/44.46 |-Branch one:
% 85.39/44.46 | (1609) ~ (all_1144_0_419 = 0)
% 85.39/44.46 |
% 85.39/44.46 | Equations (1606) can reduce 1609 to:
% 85.39/44.46 | (259) $false
% 85.39/44.46 |
% 85.39/44.46 |-The branch is then unsatisfiable
% 85.39/44.46 |-Branch two:
% 85.39/44.46 | (1606) all_1144_0_419 = 0
% 85.39/44.46 | (1612) ~ (all_1144_1_420 = 0) | ~ (all_1144_2_421 = 0)
% 85.39/44.46 |
% 85.39/44.46 +-Applying beta-rule and splitting (1612), into two cases.
% 85.39/44.46 |-Branch one:
% 85.39/44.46 | (1613) ~ (all_1144_1_420 = 0)
% 85.39/44.46 |
% 85.39/44.46 | Equations (1608) can reduce 1613 to:
% 85.39/44.46 | (259) $false
% 85.39/44.46 |
% 85.39/44.46 |-The branch is then unsatisfiable
% 85.39/44.46 |-Branch two:
% 85.39/44.46 | (1608) all_1144_1_420 = 0
% 85.39/44.46 | (1616) ~ (all_1144_2_421 = 0)
% 85.39/44.46 |
% 85.39/44.46 | Equations (1592) can reduce 1616 to:
% 85.39/44.46 | (259) $false
% 85.39/44.46 |
% 85.39/44.46 |-The branch is then unsatisfiable
% 85.39/44.46 |-Branch two:
% 85.39/44.46 | (1618) aNaturalNumber0(xm) = all_20_2_28
% 85.39/44.46 | (1619) all_480_1_363 = all_20_2_28
% 85.39/44.46 |
% 85.39/44.46 | Combining equations (1340,1619) yields a new equation:
% 85.39/44.46 | (1599) all_20_2_28 = 0
% 85.39/44.46 |
% 85.39/44.46 | Equations (1599) can reduce 1547 to:
% 85.39/44.46 | (259) $false
% 85.39/44.46 |
% 85.39/44.46 |-The branch is then unsatisfiable
% 85.39/44.46 |-Branch two:
% 85.39/44.46 | (1599) all_20_2_28 = 0
% 85.39/44.46 | (1623) all_20_0_26 = 0
% 85.39/44.46 |
% 85.39/44.46 | Equations (1623) can reduce 1542 to:
% 85.39/44.46 | (259) $false
% 85.39/44.46 |
% 85.39/44.46 |-The branch is then unsatisfiable
% 85.39/44.46 |-Branch two:
% 85.39/44.46 | (1625) all_686_2_381 = 0
% 85.39/44.46 | (1626) ~ (all_686_3_382 = 0) | ( ~ (all_686_0_379 = all_686_1_380) & ~ (all_56_0_100 = all_34_0_58))
% 85.39/44.46 |
% 85.39/44.46 | Combining equations (1508,1625) yields a new equation:
% 85.39/44.46 | (1627) all_20_0_26 = 0
% 85.39/44.46 |
% 85.39/44.46 | Simplifying 1627 yields:
% 85.39/44.46 | (1623) all_20_0_26 = 0
% 85.39/44.46 |
% 85.39/44.46 | Combining equations (1623,1134) yields a new equation:
% 85.39/44.46 | (1629) all_414_1_274 = 0
% 85.39/44.46 |
% 85.39/44.46 +-Applying beta-rule and splitting (965), into two cases.
% 85.39/44.46 |-Branch one:
% 85.39/44.46 | (1630) ~ (all_414_1_274 = 0)
% 85.39/44.46 |
% 85.39/44.46 | Equations (1629) can reduce 1630 to:
% 85.39/44.46 | (259) $false
% 85.39/44.46 |
% 85.39/44.46 |-The branch is then unsatisfiable
% 85.39/44.46 |-Branch two:
% 85.39/44.46 | (1629) all_414_1_274 = 0
% 85.39/44.46 | (1633) ~ (all_414_2_275 = 0) | all_414_0_273 = all_56_0_100
% 85.39/44.46 |
% 85.39/44.46 +-Applying beta-rule and splitting (1633), into two cases.
% 85.39/44.46 |-Branch one:
% 85.39/44.46 | (1634) ~ (all_414_2_275 = 0)
% 85.39/44.46 |
% 85.39/44.46 | Equations (1337) can reduce 1634 to:
% 85.39/44.46 | (259) $false
% 85.39/44.46 |
% 85.39/44.46 |-The branch is then unsatisfiable
% 85.39/44.46 |-Branch two:
% 85.39/44.46 | (1337) all_414_2_275 = 0
% 85.39/44.46 | (1637) all_414_0_273 = all_56_0_100
% 85.39/44.46 |
% 85.39/44.46 | Combining equations (1115,1637) yields a new equation:
% 85.39/44.46 | (1638) all_56_0_100 = all_0_9_9
% 85.39/44.46 |
% 85.39/44.46 +-Applying beta-rule and splitting (1626), into two cases.
% 85.39/44.46 |-Branch one:
% 85.39/44.46 | (1639) ~ (all_686_3_382 = 0)
% 85.39/44.46 |
% 85.39/44.46 | Equations (1507) can reduce 1639 to:
% 85.39/44.46 | (259) $false
% 85.39/44.46 |
% 85.39/44.46 |-The branch is then unsatisfiable
% 85.39/44.46 |-Branch two:
% 85.39/44.46 | (1507) all_686_3_382 = 0
% 85.39/44.46 | (1642) ~ (all_686_0_379 = all_686_1_380) & ~ (all_56_0_100 = all_34_0_58)
% 85.39/44.46 |
% 85.39/44.46 | Applying alpha-rule on (1642) yields:
% 85.39/44.46 | (1643) ~ (all_686_0_379 = all_686_1_380)
% 85.39/44.46 | (1644) ~ (all_56_0_100 = all_34_0_58)
% 85.39/44.46 |
% 85.39/44.47 | Equations (1638,1472) can reduce 1644 to:
% 85.39/44.47 | (259) $false
% 85.39/44.47 |
% 85.39/44.47 |-The branch is then unsatisfiable
% 85.39/44.47 |-Branch two:
% 85.39/44.47 | (1646) ~ (all_27_2_43 = all_0_1_1)
% 85.39/44.47 | (1647) ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & aNaturalNumber0(all_27_2_43) = v0) | (doDivides0(xr, xk) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xk) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 85.39/44.47 |
% 85.39/44.47 | Instantiating (1647) with all_624_0_422, all_624_1_423, all_624_2_424 yields:
% 85.39/44.47 | (1648) ( ~ (all_624_2_424 = 0) & aNaturalNumber0(all_27_2_43) = all_624_2_424) | (doDivides0(xr, xk) = all_624_0_422 & aNaturalNumber0(xr) = all_624_2_424 & aNaturalNumber0(xk) = all_624_1_423 & ( ~ (all_624_0_422 = 0) | ~ (all_624_1_423 = 0) | ~ (all_624_2_424 = 0)))
% 85.39/44.47 |
% 85.39/44.47 +-Applying beta-rule and splitting (1648), into two cases.
% 85.39/44.47 |-Branch one:
% 85.39/44.47 | (1649) ~ (all_624_2_424 = 0) & aNaturalNumber0(all_27_2_43) = all_624_2_424
% 85.39/44.47 |
% 85.39/44.47 | Applying alpha-rule on (1649) yields:
% 85.39/44.47 | (1650) ~ (all_624_2_424 = 0)
% 85.39/44.47 | (1651) aNaturalNumber0(all_27_2_43) = all_624_2_424
% 85.39/44.47 |
% 85.39/44.47 | Instantiating formula (74) with all_27_2_43, all_624_2_424, 0 and discharging atoms aNaturalNumber0(all_27_2_43) = all_624_2_424, aNaturalNumber0(all_27_2_43) = 0, yields:
% 85.39/44.47 | (1652) all_624_2_424 = 0
% 85.39/44.47 |
% 85.39/44.47 | Equations (1652) can reduce 1650 to:
% 85.39/44.47 | (259) $false
% 85.39/44.47 |
% 85.39/44.47 |-The branch is then unsatisfiable
% 85.39/44.47 |-Branch two:
% 85.39/44.47 | (1654) doDivides0(xr, xk) = all_624_0_422 & aNaturalNumber0(xr) = all_624_2_424 & aNaturalNumber0(xk) = all_624_1_423 & ( ~ (all_624_0_422 = 0) | ~ (all_624_1_423 = 0) | ~ (all_624_2_424 = 0))
% 85.39/44.47 |
% 85.39/44.47 | Applying alpha-rule on (1654) yields:
% 85.39/44.47 | (1655) doDivides0(xr, xk) = all_624_0_422
% 85.39/44.47 | (1656) aNaturalNumber0(xr) = all_624_2_424
% 85.39/44.47 | (1657) aNaturalNumber0(xk) = all_624_1_423
% 85.39/44.47 | (1658) ~ (all_624_0_422 = 0) | ~ (all_624_1_423 = 0) | ~ (all_624_2_424 = 0)
% 85.39/44.47 |
% 85.39/44.47 +-Applying beta-rule and splitting (746), into two cases.
% 85.39/44.47 |-Branch one:
% 85.39/44.47 | (258) xp = sz00
% 85.39/44.47 |
% 85.39/44.47 | Equations (258) can reduce 101 to:
% 85.39/44.47 | (259) $false
% 85.39/44.47 |
% 85.39/44.47 |-The branch is then unsatisfiable
% 85.39/44.47 |-Branch two:
% 85.39/44.47 | (101) ~ (xp = sz00)
% 85.39/44.47 | (1662) all_28_2_46 = xk | ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & aNaturalNumber0(all_28_2_46) = v0) | (doDivides0(xp, all_0_9_9) = v2 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 85.39/44.47 |
% 85.39/44.47 +-Applying beta-rule and splitting (1662), into two cases.
% 85.39/44.47 |-Branch one:
% 85.39/44.47 | (1663) all_28_2_46 = xk
% 85.39/44.47 |
% 85.39/44.47 | From (1663) and (511) follows:
% 85.39/44.47 | (524) aNaturalNumber0(xk) = 0
% 85.39/44.47 |
% 85.39/44.47 | Instantiating formula (46) with xr, xk, all_624_0_422, 0 and discharging atoms doDivides0(xr, xk) = all_624_0_422, doDivides0(xr, xk) = 0, yields:
% 85.39/44.47 | (1665) all_624_0_422 = 0
% 85.39/44.47 |
% 85.39/44.47 | Instantiating formula (74) with xr, all_624_2_424, 0 and discharging atoms aNaturalNumber0(xr) = all_624_2_424, aNaturalNumber0(xr) = 0, yields:
% 85.39/44.47 | (1652) all_624_2_424 = 0
% 85.39/44.47 |
% 85.39/44.47 | Instantiating formula (74) with xk, all_624_1_423, 0 and discharging atoms aNaturalNumber0(xk) = all_624_1_423, aNaturalNumber0(xk) = 0, yields:
% 85.39/44.47 | (1667) all_624_1_423 = 0
% 85.39/44.47 |
% 85.39/44.47 +-Applying beta-rule and splitting (1658), into two cases.
% 85.39/44.47 |-Branch one:
% 85.39/44.47 | (1668) ~ (all_624_0_422 = 0)
% 85.39/44.47 |
% 85.39/44.47 | Equations (1665) can reduce 1668 to:
% 85.39/44.47 | (259) $false
% 85.39/44.47 |
% 85.39/44.47 |-The branch is then unsatisfiable
% 85.39/44.47 |-Branch two:
% 85.39/44.47 | (1665) all_624_0_422 = 0
% 85.39/44.47 | (1671) ~ (all_624_1_423 = 0) | ~ (all_624_2_424 = 0)
% 85.39/44.47 |
% 85.39/44.47 +-Applying beta-rule and splitting (1671), into two cases.
% 85.39/44.47 |-Branch one:
% 85.39/44.47 | (1672) ~ (all_624_1_423 = 0)
% 85.39/44.47 |
% 85.39/44.47 | Equations (1667) can reduce 1672 to:
% 85.39/44.47 | (259) $false
% 85.39/44.47 |
% 85.39/44.47 |-The branch is then unsatisfiable
% 85.39/44.47 |-Branch two:
% 85.39/44.47 | (1667) all_624_1_423 = 0
% 85.39/44.47 | (1650) ~ (all_624_2_424 = 0)
% 85.39/44.47 |
% 85.39/44.47 | Equations (1652) can reduce 1650 to:
% 85.39/44.47 | (259) $false
% 85.39/44.47 |
% 85.39/44.47 |-The branch is then unsatisfiable
% 85.39/44.47 |-Branch two:
% 85.39/44.47 | (1677) ~ (all_28_2_46 = xk)
% 85.39/44.47 | (1678) ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & aNaturalNumber0(all_28_2_46) = v0) | (doDivides0(xp, all_0_9_9) = v2 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 85.39/44.47 |
% 85.39/44.47 +-Applying beta-rule and splitting (748), into two cases.
% 85.39/44.47 |-Branch one:
% 85.39/44.47 | (258) xp = sz00
% 85.39/44.47 |
% 85.39/44.47 | Equations (258) can reduce 101 to:
% 85.39/44.47 | (259) $false
% 85.39/44.47 |
% 85.39/44.47 |-The branch is then unsatisfiable
% 85.39/44.47 |-Branch two:
% 85.39/44.47 | (101) ~ (xp = sz00)
% 85.39/44.47 | (1682) all_28_2_46 = xk | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(all_28_2_46, xp) = v3 & sdtasdt0(xk, xp) = v2 & aNaturalNumber0(all_28_2_46) = v1 & aNaturalNumber0(xk) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 85.39/44.47 |
% 85.39/44.47 +-Applying beta-rule and splitting (1682), into two cases.
% 85.39/44.47 |-Branch one:
% 85.39/44.47 | (1663) all_28_2_46 = xk
% 85.39/44.47 |
% 85.39/44.47 | Equations (1663) can reduce 1677 to:
% 85.39/44.47 | (259) $false
% 85.39/44.47 |
% 85.39/44.47 |-The branch is then unsatisfiable
% 85.39/44.47 |-Branch two:
% 85.39/44.47 | (1677) ~ (all_28_2_46 = xk)
% 85.39/44.47 | (1686) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(all_28_2_46, xp) = v3 & sdtasdt0(xk, xp) = v2 & aNaturalNumber0(all_28_2_46) = v1 & aNaturalNumber0(xk) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 85.39/44.47 |
% 85.39/44.47 | Instantiating (1686) with all_782_0_451, all_782_1_452, all_782_2_453, all_782_3_454 yields:
% 85.39/44.47 | (1687) sdtasdt0(all_28_2_46, xp) = all_782_0_451 & sdtasdt0(xk, xp) = all_782_1_452 & aNaturalNumber0(all_28_2_46) = all_782_2_453 & aNaturalNumber0(xk) = all_782_3_454 & ( ~ (all_782_2_453 = 0) | ~ (all_782_3_454 = 0))
% 85.39/44.47 |
% 85.39/44.47 | Applying alpha-rule on (1687) yields:
% 85.39/44.47 | (1688) ~ (all_782_2_453 = 0) | ~ (all_782_3_454 = 0)
% 85.39/44.47 | (1689) sdtasdt0(xk, xp) = all_782_1_452
% 85.39/44.47 | (1690) sdtasdt0(all_28_2_46, xp) = all_782_0_451
% 85.39/44.47 | (1691) aNaturalNumber0(xk) = all_782_3_454
% 85.39/44.47 | (1692) aNaturalNumber0(all_28_2_46) = all_782_2_453
% 85.39/44.47 |
% 85.39/44.47 | Instantiating formula (74) with all_28_2_46, all_782_2_453, 0 and discharging atoms aNaturalNumber0(all_28_2_46) = all_782_2_453, aNaturalNumber0(all_28_2_46) = 0, yields:
% 85.39/44.47 | (1693) all_782_2_453 = 0
% 85.39/44.47 |
% 85.39/44.47 | Instantiating formula (74) with xk, all_782_3_454, 0 and discharging atoms aNaturalNumber0(xk) = all_782_3_454, aNaturalNumber0(xk) = 0, yields:
% 85.39/44.47 | (1694) all_782_3_454 = 0
% 85.39/44.47 |
% 85.39/44.47 | Instantiating formula (74) with xk, all_624_1_423, all_782_3_454 and discharging atoms aNaturalNumber0(xk) = all_782_3_454, aNaturalNumber0(xk) = all_624_1_423, yields:
% 85.39/44.47 | (1695) all_782_3_454 = all_624_1_423
% 85.39/44.47 |
% 85.39/44.47 | Combining equations (1694,1695) yields a new equation:
% 85.39/44.47 | (1667) all_624_1_423 = 0
% 85.39/44.47 |
% 85.39/44.47 | Combining equations (1667,1695) yields a new equation:
% 85.39/44.47 | (1694) all_782_3_454 = 0
% 85.39/44.47 |
% 85.39/44.47 +-Applying beta-rule and splitting (1688), into two cases.
% 85.39/44.47 |-Branch one:
% 85.39/44.47 | (1698) ~ (all_782_2_453 = 0)
% 85.39/44.47 |
% 85.39/44.47 | Equations (1693) can reduce 1698 to:
% 85.39/44.47 | (259) $false
% 85.39/44.47 |
% 85.39/44.47 |-The branch is then unsatisfiable
% 85.39/44.47 |-Branch two:
% 85.39/44.47 | (1693) all_782_2_453 = 0
% 85.39/44.47 | (1701) ~ (all_782_3_454 = 0)
% 85.39/44.47 |
% 85.39/44.47 | Equations (1694) can reduce 1701 to:
% 85.39/44.47 | (259) $false
% 85.39/44.47 |
% 85.39/44.47 |-The branch is then unsatisfiable
% 85.39/44.47 |-Branch two:
% 85.39/44.47 | (1703) ~ (all_93_0_119 = xr)
% 85.39/44.47 | (1704) all_93_0_119 = sz10 | ? [v0] : (( ~ (v0 = 0) & aNaturalNumber0(all_93_0_119) = v0) | ( ~ (v0 = 0) & aNaturalNumber0(xr) = v0))
% 85.39/44.47 |
% 85.39/44.47 +-Applying beta-rule and splitting (1704), into two cases.
% 85.39/44.47 |-Branch one:
% 85.39/44.47 | (1110) all_93_0_119 = sz10
% 85.39/44.47 |
% 85.39/44.47 | Equations (1110) can reduce 310 to:
% 85.39/44.47 | (259) $false
% 85.39/44.47 |
% 85.39/44.47 |-The branch is then unsatisfiable
% 85.39/44.47 |-Branch two:
% 85.39/44.47 | (310) ~ (all_93_0_119 = sz10)
% 85.39/44.47 | (1708) ? [v0] : (( ~ (v0 = 0) & aNaturalNumber0(all_93_0_119) = v0) | ( ~ (v0 = 0) & aNaturalNumber0(xr) = v0))
% 85.39/44.47 |
% 85.39/44.47 | Instantiating (1708) with all_604_0_464 yields:
% 85.39/44.47 | (1709) ( ~ (all_604_0_464 = 0) & aNaturalNumber0(all_93_0_119) = all_604_0_464) | ( ~ (all_604_0_464 = 0) & aNaturalNumber0(xr) = all_604_0_464)
% 85.39/44.47 |
% 85.39/44.47 +-Applying beta-rule and splitting (1709), into two cases.
% 85.39/44.47 |-Branch one:
% 85.39/44.47 | (1710) ~ (all_604_0_464 = 0) & aNaturalNumber0(all_93_0_119) = all_604_0_464
% 85.39/44.47 |
% 85.39/44.47 | Applying alpha-rule on (1710) yields:
% 85.39/44.47 | (1711) ~ (all_604_0_464 = 0)
% 85.39/44.47 | (1712) aNaturalNumber0(all_93_0_119) = all_604_0_464
% 85.39/44.47 |
% 85.39/44.47 | Instantiating formula (74) with all_93_0_119, all_604_0_464, 0 and discharging atoms aNaturalNumber0(all_93_0_119) = all_604_0_464, aNaturalNumber0(all_93_0_119) = 0, yields:
% 85.39/44.47 | (1713) all_604_0_464 = 0
% 85.39/44.47 |
% 85.39/44.47 | Equations (1713) can reduce 1711 to:
% 85.39/44.47 | (259) $false
% 85.39/44.47 |
% 85.39/44.47 |-The branch is then unsatisfiable
% 85.39/44.47 |-Branch two:
% 85.39/44.47 | (1715) ~ (all_604_0_464 = 0) & aNaturalNumber0(xr) = all_604_0_464
% 85.39/44.47 |
% 85.39/44.47 | Applying alpha-rule on (1715) yields:
% 85.39/44.47 | (1711) ~ (all_604_0_464 = 0)
% 85.39/44.47 | (1717) aNaturalNumber0(xr) = all_604_0_464
% 85.39/44.47 |
% 85.39/44.47 | Instantiating formula (74) with xr, all_604_0_464, 0 and discharging atoms aNaturalNumber0(xr) = all_604_0_464, aNaturalNumber0(xr) = 0, yields:
% 85.39/44.47 | (1713) all_604_0_464 = 0
% 85.39/44.47 |
% 85.39/44.47 | Equations (1713) can reduce 1711 to:
% 85.39/44.47 | (259) $false
% 85.39/44.47 |
% 85.39/44.47 |-The branch is then unsatisfiable
% 85.39/44.48 |-Branch two:
% 85.39/44.48 | (1720) sdtasdt0(sz10, xm) = all_0_9_9
% 85.39/44.48 | (1721) ? [v0] : ? [v1] : (sdtasdt0(xm, sz10) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v0 = 0) | (v1 = xm & all_0_9_9 = xm)))
% 85.39/44.48 |
% 85.39/44.48 | Instantiating (1721) with all_299_0_509, all_299_1_510 yields:
% 85.39/44.48 | (1722) sdtasdt0(xm, sz10) = all_299_0_509 & aNaturalNumber0(xm) = all_299_1_510 & ( ~ (all_299_1_510 = 0) | (all_299_0_509 = xm & all_0_9_9 = xm))
% 85.39/44.48 |
% 85.39/44.48 | Applying alpha-rule on (1722) yields:
% 85.39/44.48 | (1723) sdtasdt0(xm, sz10) = all_299_0_509
% 85.39/44.48 | (1724) aNaturalNumber0(xm) = all_299_1_510
% 85.39/44.48 | (1725) ~ (all_299_1_510 = 0) | (all_299_0_509 = xm & all_0_9_9 = xm)
% 85.39/44.48 |
% 85.39/44.48 +-Applying beta-rule and splitting (1725), into two cases.
% 85.39/44.48 |-Branch one:
% 85.39/44.48 | (1726) ~ (all_299_1_510 = 0)
% 85.39/44.48 |
% 85.39/44.48 | Instantiating formula (74) with xm, all_299_1_510, 0 and discharging atoms aNaturalNumber0(xm) = all_299_1_510, aNaturalNumber0(xm) = 0, yields:
% 85.39/44.48 | (1727) all_299_1_510 = 0
% 85.39/44.48 |
% 85.39/44.48 | Equations (1727) can reduce 1726 to:
% 85.39/44.48 | (259) $false
% 85.39/44.48 |
% 85.39/44.48 |-The branch is then unsatisfiable
% 85.39/44.48 |-Branch two:
% 85.39/44.48 | (1727) all_299_1_510 = 0
% 85.39/44.48 | (1730) all_299_0_509 = xm & all_0_9_9 = xm
% 85.39/44.48 |
% 85.39/44.48 | Applying alpha-rule on (1730) yields:
% 85.39/44.48 | (1731) all_299_0_509 = xm
% 85.39/44.48 | (1732) all_0_9_9 = xm
% 85.39/44.48 |
% 85.39/44.48 | Equations (1732) can reduce 666 to:
% 85.39/44.48 | (259) $false
% 85.39/44.48 |
% 85.39/44.48 |-The branch is then unsatisfiable
% 85.39/44.48 |-Branch two:
% 85.39/44.48 | (1734) sdtasdt0(xp, xk) = xm
% 85.39/44.48 | (1735) all_0_7_7 = 0 | xk = sz00 | ? [v0] : ? [v1] : (aNaturalNumber0(xk) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 85.39/44.48 |
% 85.39/44.48 +-Applying beta-rule and splitting (107), into two cases.
% 85.39/44.48 |-Branch one:
% 85.39/44.48 | (615) all_0_9_9 = sz00
% 85.39/44.48 |
% 85.39/44.48 | Equations (615) can reduce 606 to:
% 85.39/44.48 | (259) $false
% 85.39/44.48 |
% 85.39/44.48 |-The branch is then unsatisfiable
% 85.39/44.48 |-Branch two:
% 85.39/44.48 | (606) ~ (all_0_9_9 = sz00)
% 85.39/44.48 | (628) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xp, all_0_9_9) = v2 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 85.39/44.48 |
% 85.39/44.48 | Instantiating (628) with all_264_0_514, all_264_1_515, all_264_2_516 yields:
% 85.39/44.48 | (1740) sdtlseqdt0(xp, all_0_9_9) = all_264_0_514 & aNaturalNumber0(all_0_9_9) = all_264_1_515 & aNaturalNumber0(xp) = all_264_2_516 & ( ~ (all_264_1_515 = 0) | ~ (all_264_2_516 = 0) | all_264_0_514 = 0)
% 85.39/44.48 |
% 85.39/44.48 | Applying alpha-rule on (1740) yields:
% 85.39/44.48 | (1741) sdtlseqdt0(xp, all_0_9_9) = all_264_0_514
% 85.39/44.48 | (1742) aNaturalNumber0(all_0_9_9) = all_264_1_515
% 85.39/44.48 | (1743) aNaturalNumber0(xp) = all_264_2_516
% 85.39/44.48 | (1744) ~ (all_264_1_515 = 0) | ~ (all_264_2_516 = 0) | all_264_0_514 = 0
% 85.39/44.48 |
% 85.39/44.48 +-Applying beta-rule and splitting (1735), into two cases.
% 85.39/44.48 |-Branch one:
% 85.39/44.48 | (1745) xk = sz00
% 85.39/44.48 |
% 85.39/44.48 | Equations (1745) can reduce 29 to:
% 85.39/44.48 | (259) $false
% 85.39/44.48 |
% 85.39/44.48 |-The branch is then unsatisfiable
% 85.39/44.48 |-Branch two:
% 85.39/44.48 | (29) ~ (xk = sz00)
% 85.39/44.48 | (1748) all_0_7_7 = 0 | ? [v0] : ? [v1] : (aNaturalNumber0(xk) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 85.39/44.48 |
% 85.39/44.48 +-Applying beta-rule and splitting (1748), into two cases.
% 85.39/44.48 |-Branch one:
% 85.39/44.48 | (1086) all_0_7_7 = 0
% 85.39/44.48 |
% 85.39/44.48 | Equations (1086) can reduce 12 to:
% 85.39/44.48 | (259) $false
% 85.39/44.48 |
% 85.39/44.48 |-The branch is then unsatisfiable
% 85.39/44.48 |-Branch two:
% 85.39/44.48 | (12) ~ (all_0_7_7 = 0)
% 85.39/44.48 | (1752) ? [v0] : ? [v1] : (aNaturalNumber0(xk) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 85.39/44.48 |
% 85.39/44.48 | Instantiating (1752) with all_274_0_517, all_274_1_518 yields:
% 85.39/44.48 | (1753) aNaturalNumber0(xk) = all_274_1_518 & aNaturalNumber0(xp) = all_274_0_517 & ( ~ (all_274_0_517 = 0) | ~ (all_274_1_518 = 0))
% 85.39/44.48 |
% 85.39/44.48 | Applying alpha-rule on (1753) yields:
% 85.39/44.48 | (1754) aNaturalNumber0(xk) = all_274_1_518
% 85.39/44.48 | (1755) aNaturalNumber0(xp) = all_274_0_517
% 85.39/44.48 | (1756) ~ (all_274_0_517 = 0) | ~ (all_274_1_518 = 0)
% 85.39/44.48 |
% 85.39/44.48 +-Applying beta-rule and splitting (570), into two cases.
% 85.39/44.48 |-Branch one:
% 85.39/44.48 | (565) ~ (all_67_2_111 = 0)
% 85.39/44.48 |
% 85.39/44.48 | Equations (556) can reduce 565 to:
% 85.39/44.48 | (259) $false
% 85.39/44.48 |
% 85.39/44.48 |-The branch is then unsatisfiable
% 85.39/44.48 |-Branch two:
% 85.39/44.48 | (556) all_67_2_111 = 0
% 85.39/44.48 | (637) all_67_1_110 = all_0_2_2
% 85.39/44.48 |
% 85.39/44.48 | Combining equations (604,637) yields a new equation:
% 85.39/44.48 | (638) all_0_0_0 = all_0_2_2
% 85.39/44.48 |
% 85.39/44.48 | Simplifying 638 yields:
% 85.39/44.48 | (639) all_0_0_0 = all_0_2_2
% 85.39/44.48 |
% 85.39/44.48 | From (639) and (2) follows:
% 85.39/44.48 | (641) sdtasdt0(xp, all_0_1_1) = all_0_2_2
% 85.39/44.48 |
% 85.39/44.48 +-Applying beta-rule and splitting (122), into two cases.
% 85.39/44.48 |-Branch one:
% 85.39/44.48 | (648) ~ (sdtasdt0(xp, all_0_1_1) = all_0_2_2)
% 85.39/44.48 |
% 85.39/44.48 | Using (641) and (648) yields:
% 85.39/44.48 | (452) $false
% 85.39/44.48 |
% 85.39/44.48 |-The branch is then unsatisfiable
% 85.39/44.48 |-Branch two:
% 85.39/44.48 | (641) sdtasdt0(xp, all_0_1_1) = all_0_2_2
% 85.39/44.48 | (651) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_1_1, xr) = v3 & sdtasdt0(xp, v3) = v4 & aNaturalNumber0(all_0_1_1) = v1 & aNaturalNumber0(xr) = v2 & aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_9_9))
% 85.39/44.48 |
% 85.39/44.48 | Instantiating (651) with all_288_0_519, all_288_1_520, all_288_2_521, all_288_3_522, all_288_4_523 yields:
% 85.39/44.48 | (1768) sdtasdt0(all_0_1_1, xr) = all_288_1_520 & sdtasdt0(xp, all_288_1_520) = all_288_0_519 & aNaturalNumber0(all_0_1_1) = all_288_3_522 & aNaturalNumber0(xr) = all_288_2_521 & aNaturalNumber0(xp) = all_288_4_523 & ( ~ (all_288_2_521 = 0) | ~ (all_288_3_522 = 0) | ~ (all_288_4_523 = 0) | all_288_0_519 = all_0_9_9)
% 85.39/44.48 |
% 85.39/44.48 | Applying alpha-rule on (1768) yields:
% 85.39/44.48 | (1769) aNaturalNumber0(all_0_1_1) = all_288_3_522
% 85.39/44.48 | (1770) sdtasdt0(all_0_1_1, xr) = all_288_1_520
% 85.39/44.48 | (1771) aNaturalNumber0(xp) = all_288_4_523
% 85.39/44.48 | (1772) aNaturalNumber0(xr) = all_288_2_521
% 85.39/44.48 | (1773) ~ (all_288_2_521 = 0) | ~ (all_288_3_522 = 0) | ~ (all_288_4_523 = 0) | all_288_0_519 = all_0_9_9
% 85.39/44.48 | (1774) sdtasdt0(xp, all_288_1_520) = all_288_0_519
% 85.39/44.48 |
% 85.39/44.48 | Instantiating formula (74) with xk, all_274_1_518, 0 and discharging atoms aNaturalNumber0(xk) = all_274_1_518, aNaturalNumber0(xk) = 0, yields:
% 85.39/44.48 | (1775) all_274_1_518 = 0
% 85.39/44.48 |
% 85.39/44.48 | Instantiating formula (74) with xp, all_274_0_517, 0 and discharging atoms aNaturalNumber0(xp) = all_274_0_517, aNaturalNumber0(xp) = 0, yields:
% 85.39/44.48 | (1776) all_274_0_517 = 0
% 85.39/44.48 |
% 85.39/44.48 | Instantiating formula (74) with xp, all_274_0_517, all_288_4_523 and discharging atoms aNaturalNumber0(xp) = all_288_4_523, aNaturalNumber0(xp) = all_274_0_517, yields:
% 85.39/44.48 | (1777) all_288_4_523 = all_274_0_517
% 85.39/44.48 |
% 85.39/44.48 | Instantiating formula (74) with xp, all_264_2_516, all_288_4_523 and discharging atoms aNaturalNumber0(xp) = all_288_4_523, aNaturalNumber0(xp) = all_264_2_516, yields:
% 85.39/44.48 | (1778) all_288_4_523 = all_264_2_516
% 85.39/44.48 |
% 85.39/44.48 | Combining equations (1777,1778) yields a new equation:
% 85.39/44.48 | (1779) all_274_0_517 = all_264_2_516
% 85.39/44.48 |
% 85.39/44.48 | Simplifying 1779 yields:
% 85.39/44.48 | (1780) all_274_0_517 = all_264_2_516
% 85.39/44.48 |
% 85.39/44.48 | Combining equations (1776,1780) yields a new equation:
% 85.39/44.48 | (1781) all_264_2_516 = 0
% 85.39/44.48 |
% 85.39/44.48 | Combining equations (1781,1780) yields a new equation:
% 85.39/44.48 | (1776) all_274_0_517 = 0
% 85.39/44.48 |
% 85.39/44.48 +-Applying beta-rule and splitting (1756), into two cases.
% 85.39/44.48 |-Branch one:
% 85.39/44.48 | (1783) ~ (all_274_0_517 = 0)
% 85.39/44.48 |
% 85.39/44.48 | Equations (1776) can reduce 1783 to:
% 85.39/44.48 | (259) $false
% 85.39/44.48 |
% 85.39/44.48 |-The branch is then unsatisfiable
% 85.39/44.48 |-Branch two:
% 85.39/44.48 | (1776) all_274_0_517 = 0
% 85.39/44.48 | (1786) ~ (all_274_1_518 = 0)
% 85.39/44.48 |
% 85.39/44.48 | Equations (1775) can reduce 1786 to:
% 85.39/44.48 | (259) $false
% 85.39/44.48 |
% 85.39/44.48 |-The branch is then unsatisfiable
% 85.39/44.48 |-Branch two:
% 85.39/44.48 | (1788) aNaturalNumber0(xk) = all_24_2_34 & aNaturalNumber0(xp) = all_24_1_33 & ( ~ (all_24_1_33 = 0) | ~ (all_24_2_34 = 0))
% 85.39/44.48 |
% 85.39/44.48 | Applying alpha-rule on (1788) yields:
% 85.39/44.48 | (1789) aNaturalNumber0(xk) = all_24_2_34
% 85.39/44.48 | (1790) aNaturalNumber0(xp) = all_24_1_33
% 85.39/44.48 | (1791) ~ (all_24_1_33 = 0) | ~ (all_24_2_34 = 0)
% 85.39/44.48 |
% 85.39/44.48 +-Applying beta-rule and splitting (102), into two cases.
% 85.39/44.48 |-Branch one:
% 85.39/44.48 | (615) all_0_9_9 = sz00
% 85.39/44.48 |
% 85.39/44.48 | Equations (615) can reduce 606 to:
% 85.39/44.48 | (259) $false
% 85.39/44.48 |
% 85.39/44.48 |-The branch is then unsatisfiable
% 85.39/44.48 |-Branch two:
% 85.39/44.48 | (606) ~ (all_0_9_9 = sz00)
% 85.39/44.48 | (618) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xr, all_0_9_9) = v2 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 85.39/44.48 |
% 85.39/44.48 +-Applying beta-rule and splitting (570), into two cases.
% 85.39/44.48 |-Branch one:
% 85.39/44.48 | (565) ~ (all_67_2_111 = 0)
% 85.39/44.48 |
% 85.39/44.48 | Equations (556) can reduce 565 to:
% 85.39/44.48 | (259) $false
% 85.39/44.48 |
% 85.39/44.48 |-The branch is then unsatisfiable
% 85.39/44.48 |-Branch two:
% 85.39/44.48 | (556) all_67_2_111 = 0
% 85.39/44.48 | (637) all_67_1_110 = all_0_2_2
% 85.39/44.48 |
% 85.39/44.48 | Combining equations (604,637) yields a new equation:
% 85.39/44.48 | (638) all_0_0_0 = all_0_2_2
% 85.39/44.48 |
% 85.39/44.48 | Simplifying 638 yields:
% 85.39/44.48 | (639) all_0_0_0 = all_0_2_2
% 85.39/44.48 |
% 85.39/44.48 | From (639) and (2) follows:
% 85.39/44.48 | (641) sdtasdt0(xp, all_0_1_1) = all_0_2_2
% 85.39/44.48 |
% 85.39/44.48 +-Applying beta-rule and splitting (122), into two cases.
% 85.39/44.48 |-Branch one:
% 85.39/44.48 | (648) ~ (sdtasdt0(xp, all_0_1_1) = all_0_2_2)
% 85.39/44.48 |
% 85.39/44.48 | Using (641) and (648) yields:
% 85.39/44.48 | (452) $false
% 85.39/44.48 |
% 85.39/44.48 |-The branch is then unsatisfiable
% 85.39/44.48 |-Branch two:
% 85.39/44.48 | (641) sdtasdt0(xp, all_0_1_1) = all_0_2_2
% 85.39/44.48 | (651) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_1_1, xr) = v3 & sdtasdt0(xp, v3) = v4 & aNaturalNumber0(all_0_1_1) = v1 & aNaturalNumber0(xr) = v2 & aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_9_9))
% 85.39/44.48 |
% 85.39/44.48 | Instantiating (651) with all_265_0_530, all_265_1_531, all_265_2_532, all_265_3_533, all_265_4_534 yields:
% 85.39/44.48 | (1807) sdtasdt0(all_0_1_1, xr) = all_265_1_531 & sdtasdt0(xp, all_265_1_531) = all_265_0_530 & aNaturalNumber0(all_0_1_1) = all_265_3_533 & aNaturalNumber0(xr) = all_265_2_532 & aNaturalNumber0(xp) = all_265_4_534 & ( ~ (all_265_2_532 = 0) | ~ (all_265_3_533 = 0) | ~ (all_265_4_534 = 0) | all_265_0_530 = all_0_9_9)
% 85.39/44.48 |
% 85.39/44.48 | Applying alpha-rule on (1807) yields:
% 85.39/44.48 | (1808) sdtasdt0(xp, all_265_1_531) = all_265_0_530
% 85.39/44.48 | (1809) aNaturalNumber0(xr) = all_265_2_532
% 85.39/44.48 | (1810) aNaturalNumber0(xp) = all_265_4_534
% 85.39/44.48 | (1811) sdtasdt0(all_0_1_1, xr) = all_265_1_531
% 85.39/44.48 | (1812) aNaturalNumber0(all_0_1_1) = all_265_3_533
% 85.39/44.48 | (1813) ~ (all_265_2_532 = 0) | ~ (all_265_3_533 = 0) | ~ (all_265_4_534 = 0) | all_265_0_530 = all_0_9_9
% 85.39/44.49 |
% 85.39/44.49 +-Applying beta-rule and splitting (107), into two cases.
% 85.39/44.49 |-Branch one:
% 85.39/44.49 | (615) all_0_9_9 = sz00
% 85.39/44.49 |
% 85.39/44.49 | Equations (615) can reduce 606 to:
% 85.39/44.49 | (259) $false
% 85.39/44.49 |
% 85.39/44.49 |-The branch is then unsatisfiable
% 85.39/44.49 |-Branch two:
% 85.39/44.49 | (606) ~ (all_0_9_9 = sz00)
% 85.39/44.49 | (628) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xp, all_0_9_9) = v2 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 85.39/44.49 |
% 85.39/44.49 | Instantiating (628) with all_270_0_535, all_270_1_536, all_270_2_537 yields:
% 85.39/44.49 | (1818) sdtlseqdt0(xp, all_0_9_9) = all_270_0_535 & aNaturalNumber0(all_0_9_9) = all_270_1_536 & aNaturalNumber0(xp) = all_270_2_537 & ( ~ (all_270_1_536 = 0) | ~ (all_270_2_537 = 0) | all_270_0_535 = 0)
% 85.39/44.49 |
% 85.39/44.49 | Applying alpha-rule on (1818) yields:
% 85.39/44.49 | (1819) sdtlseqdt0(xp, all_0_9_9) = all_270_0_535
% 85.39/44.49 | (1820) aNaturalNumber0(all_0_9_9) = all_270_1_536
% 85.39/44.49 | (1821) aNaturalNumber0(xp) = all_270_2_537
% 85.39/44.49 | (1822) ~ (all_270_1_536 = 0) | ~ (all_270_2_537 = 0) | all_270_0_535 = 0
% 85.39/44.49 |
% 85.39/44.49 | Instantiating formula (74) with xk, all_24_2_34, 0 and discharging atoms aNaturalNumber0(xk) = all_24_2_34, aNaturalNumber0(xk) = 0, yields:
% 85.39/44.49 | (1823) all_24_2_34 = 0
% 85.39/44.49 |
% 85.39/44.49 | Instantiating formula (74) with xp, all_270_2_537, 0 and discharging atoms aNaturalNumber0(xp) = all_270_2_537, aNaturalNumber0(xp) = 0, yields:
% 85.39/44.49 | (1824) all_270_2_537 = 0
% 85.39/44.49 |
% 85.39/44.49 | Instantiating formula (74) with xp, all_265_4_534, all_270_2_537 and discharging atoms aNaturalNumber0(xp) = all_270_2_537, aNaturalNumber0(xp) = all_265_4_534, yields:
% 85.39/44.49 | (1825) all_270_2_537 = all_265_4_534
% 85.39/44.49 |
% 85.39/44.49 | Instantiating formula (74) with xp, all_24_1_33, all_265_4_534 and discharging atoms aNaturalNumber0(xp) = all_265_4_534, aNaturalNumber0(xp) = all_24_1_33, yields:
% 85.39/44.49 | (1826) all_265_4_534 = all_24_1_33
% 85.39/44.49 |
% 85.39/44.49 | Combining equations (1825,1824) yields a new equation:
% 85.39/44.49 | (1827) all_265_4_534 = 0
% 85.39/44.49 |
% 85.39/44.49 | Simplifying 1827 yields:
% 85.39/44.49 | (1828) all_265_4_534 = 0
% 85.39/44.49 |
% 85.39/44.49 | Combining equations (1828,1826) yields a new equation:
% 85.39/44.49 | (612) all_24_1_33 = 0
% 85.39/44.49 |
% 85.39/44.49 +-Applying beta-rule and splitting (1791), into two cases.
% 85.39/44.49 |-Branch one:
% 85.39/44.49 | (1830) ~ (all_24_1_33 = 0)
% 85.39/44.49 |
% 85.39/44.49 | Equations (612) can reduce 1830 to:
% 85.39/44.49 | (259) $false
% 85.39/44.49 |
% 85.39/44.49 |-The branch is then unsatisfiable
% 85.39/44.49 |-Branch two:
% 85.39/44.49 | (612) all_24_1_33 = 0
% 85.39/44.49 | (1833) ~ (all_24_2_34 = 0)
% 85.39/44.49 |
% 85.39/44.49 | Equations (1823) can reduce 1833 to:
% 85.39/44.49 | (259) $false
% 85.39/44.49 |
% 85.39/44.49 |-The branch is then unsatisfiable
% 85.39/44.49 |-Branch two:
% 85.39/44.49 | (1835) sdtasdt0(sz00, xm) = all_0_9_9
% 85.39/44.49 | (1836) ? [v0] : ? [v1] : (sdtasdt0(xm, sz00) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v0 = 0) | (v1 = sz00 & all_0_9_9 = sz00)))
% 85.39/44.49 |
% 85.39/44.49 | Instantiating (1836) with all_243_0_538, all_243_1_539 yields:
% 85.39/44.49 | (1837) sdtasdt0(xm, sz00) = all_243_0_538 & aNaturalNumber0(xm) = all_243_1_539 & ( ~ (all_243_1_539 = 0) | (all_243_0_538 = sz00 & all_0_9_9 = sz00))
% 85.39/44.49 |
% 85.39/44.49 | Applying alpha-rule on (1837) yields:
% 85.39/44.49 | (1838) sdtasdt0(xm, sz00) = all_243_0_538
% 85.39/44.49 | (1839) aNaturalNumber0(xm) = all_243_1_539
% 85.39/44.49 | (1840) ~ (all_243_1_539 = 0) | (all_243_0_538 = sz00 & all_0_9_9 = sz00)
% 85.39/44.49 |
% 85.39/44.49 +-Applying beta-rule and splitting (1840), into two cases.
% 85.39/44.49 |-Branch one:
% 85.39/44.49 | (1841) ~ (all_243_1_539 = 0)
% 85.39/44.49 |
% 85.39/44.49 | Instantiating formula (74) with xm, all_243_1_539, 0 and discharging atoms aNaturalNumber0(xm) = all_243_1_539, aNaturalNumber0(xm) = 0, yields:
% 85.39/44.49 | (1842) all_243_1_539 = 0
% 85.39/44.49 |
% 85.39/44.49 | Equations (1842) can reduce 1841 to:
% 85.39/44.49 | (259) $false
% 85.39/44.49 |
% 85.39/44.49 |-The branch is then unsatisfiable
% 85.39/44.49 |-Branch two:
% 85.39/44.49 | (1842) all_243_1_539 = 0
% 85.39/44.49 | (1845) all_243_0_538 = sz00 & all_0_9_9 = sz00
% 85.39/44.49 |
% 85.39/44.49 | Applying alpha-rule on (1845) yields:
% 85.39/44.49 | (1846) all_243_0_538 = sz00
% 85.39/44.49 | (615) all_0_9_9 = sz00
% 85.39/44.49 |
% 85.39/44.49 | Equations (615) can reduce 606 to:
% 85.39/44.49 | (259) $false
% 85.39/44.49 |
% 85.39/44.49 |-The branch is then unsatisfiable
% 85.39/44.49 |-Branch two:
% 85.39/44.49 | (1849) aNaturalNumber0(xr) = all_27_2_43 & aNaturalNumber0(xk) = all_27_1_42 & ( ~ (all_27_1_42 = 0) | ~ (all_27_2_43 = 0))
% 85.39/44.49 |
% 85.39/44.49 | Applying alpha-rule on (1849) yields:
% 85.39/44.49 | (1850) aNaturalNumber0(xr) = all_27_2_43
% 85.39/44.49 | (1851) aNaturalNumber0(xk) = all_27_1_42
% 85.39/44.49 | (1852) ~ (all_27_1_42 = 0) | ~ (all_27_2_43 = 0)
% 85.39/44.49 |
% 85.39/44.49 | Instantiating formula (74) with xr, all_27_2_43, 0 and discharging atoms aNaturalNumber0(xr) = all_27_2_43, aNaturalNumber0(xr) = 0, yields:
% 85.39/44.49 | (1853) all_27_2_43 = 0
% 85.39/44.49 |
% 85.39/44.49 | Instantiating formula (74) with xk, all_27_1_42, 0 and discharging atoms aNaturalNumber0(xk) = all_27_1_42, aNaturalNumber0(xk) = 0, yields:
% 85.39/44.49 | (592) all_27_1_42 = 0
% 85.39/44.49 |
% 85.39/44.49 +-Applying beta-rule and splitting (1852), into two cases.
% 85.39/44.49 |-Branch one:
% 85.39/44.49 | (1855) ~ (all_27_1_42 = 0)
% 85.39/44.49 |
% 85.39/44.49 | Equations (592) can reduce 1855 to:
% 85.39/44.49 | (259) $false
% 85.39/44.49 |
% 85.39/44.49 |-The branch is then unsatisfiable
% 85.39/44.49 |-Branch two:
% 85.39/44.49 | (592) all_27_1_42 = 0
% 85.39/44.49 | (1858) ~ (all_27_2_43 = 0)
% 85.39/44.49 |
% 85.39/44.49 | Equations (1853) can reduce 1858 to:
% 85.39/44.49 | (259) $false
% 85.39/44.49 |
% 85.39/44.49 |-The branch is then unsatisfiable
% 85.39/44.49 |-Branch two:
% 85.39/44.49 | (1067) all_76_0_115 = 0
% 85.39/44.49 | (1861) ~ (all_76_1_116 = 0) | ~ (all_76_2_117 = 0)
% 85.39/44.49 |
% 85.39/44.49 +-Applying beta-rule and splitting (1861), into two cases.
% 85.39/44.49 |-Branch one:
% 85.39/44.49 | (1862) ~ (all_76_1_116 = 0)
% 85.39/44.49 |
% 85.39/44.49 | Equations (334) can reduce 1862 to:
% 85.39/44.49 | (259) $false
% 85.39/44.49 |
% 85.39/44.49 |-The branch is then unsatisfiable
% 85.39/44.49 |-Branch two:
% 85.39/44.49 | (334) all_76_1_116 = 0
% 85.39/44.49 | (1865) ~ (all_76_2_117 = 0)
% 85.39/44.49 |
% 85.39/44.49 | Equations (532) can reduce 1865 to:
% 85.39/44.49 | (259) $false
% 85.39/44.49 |
% 85.39/44.49 |-The branch is then unsatisfiable
% 85.39/44.49 |-Branch two:
% 85.39/44.49 | (1867) aNaturalNumber0(xr) = all_25_2_37 & aNaturalNumber0(xk) = all_25_1_36 & ( ~ (all_25_1_36 = 0) | ~ (all_25_2_37 = 0))
% 85.39/44.49 |
% 85.39/44.49 | Applying alpha-rule on (1867) yields:
% 85.39/44.49 | (1868) aNaturalNumber0(xr) = all_25_2_37
% 85.39/44.49 | (1869) aNaturalNumber0(xk) = all_25_1_36
% 85.39/44.49 | (1870) ~ (all_25_1_36 = 0) | ~ (all_25_2_37 = 0)
% 85.39/44.49 |
% 85.39/44.49 | Instantiating formula (74) with xr, all_25_2_37, 0 and discharging atoms aNaturalNumber0(xr) = all_25_2_37, aNaturalNumber0(xr) = 0, yields:
% 85.39/44.49 | (1871) all_25_2_37 = 0
% 85.39/44.49 |
% 85.39/44.49 | Instantiating formula (74) with xk, all_25_1_36, 0 and discharging atoms aNaturalNumber0(xk) = all_25_1_36, aNaturalNumber0(xk) = 0, yields:
% 85.39/44.49 | (537) all_25_1_36 = 0
% 85.39/44.49 |
% 85.39/44.49 +-Applying beta-rule and splitting (1870), into two cases.
% 85.39/44.49 |-Branch one:
% 85.39/44.49 | (1873) ~ (all_25_1_36 = 0)
% 85.39/44.49 |
% 85.39/44.49 | Equations (537) can reduce 1873 to:
% 85.39/44.49 | (259) $false
% 85.39/44.49 |
% 85.39/44.49 |-The branch is then unsatisfiable
% 85.39/44.49 |-Branch two:
% 85.39/44.49 | (537) all_25_1_36 = 0
% 85.39/44.49 | (1876) ~ (all_25_2_37 = 0)
% 85.39/44.49 |
% 85.39/44.49 | Equations (1871) can reduce 1876 to:
% 85.39/44.49 | (259) $false
% 85.39/44.49 |
% 85.39/44.49 |-The branch is then unsatisfiable
% 85.39/44.49 |-Branch two:
% 85.39/44.49 | (1878) sdtasdt0(xp, xk) = sz00
% 85.39/44.49 | (1879) xk = sz00 | xp = sz00 | ? [v0] : ? [v1] : (aNaturalNumber0(xk) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 85.39/44.49 |
% 85.39/44.49 +-Applying beta-rule and splitting (1879), into two cases.
% 85.39/44.49 |-Branch one:
% 85.39/44.49 | (1745) xk = sz00
% 85.39/44.49 |
% 85.39/44.49 | Equations (1745) can reduce 29 to:
% 85.39/44.49 | (259) $false
% 85.39/44.49 |
% 85.39/44.49 |-The branch is then unsatisfiable
% 85.39/44.49 |-Branch two:
% 85.39/44.49 | (29) ~ (xk = sz00)
% 85.39/44.49 | (1883) xp = sz00 | ? [v0] : ? [v1] : (aNaturalNumber0(xk) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 85.39/44.49 |
% 85.39/44.49 +-Applying beta-rule and splitting (1883), into two cases.
% 85.39/44.49 |-Branch one:
% 85.39/44.49 | (258) xp = sz00
% 85.39/44.49 |
% 85.39/44.49 | Equations (258) can reduce 101 to:
% 85.39/44.49 | (259) $false
% 85.39/44.49 |
% 85.39/44.49 |-The branch is then unsatisfiable
% 85.39/44.49 |-Branch two:
% 85.39/44.49 | (101) ~ (xp = sz00)
% 85.39/44.49 | (1887) ? [v0] : ? [v1] : (aNaturalNumber0(xk) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 85.39/44.49 |
% 85.39/44.49 | Instantiating (1887) with all_183_0_557, all_183_1_558 yields:
% 85.39/44.49 | (1888) aNaturalNumber0(xk) = all_183_0_557 & aNaturalNumber0(xp) = all_183_1_558 & ( ~ (all_183_0_557 = 0) | ~ (all_183_1_558 = 0))
% 85.39/44.49 |
% 85.39/44.49 | Applying alpha-rule on (1888) yields:
% 85.39/44.49 | (1889) aNaturalNumber0(xk) = all_183_0_557
% 85.39/44.49 | (1890) aNaturalNumber0(xp) = all_183_1_558
% 85.39/44.49 | (1891) ~ (all_183_0_557 = 0) | ~ (all_183_1_558 = 0)
% 85.39/44.49 |
% 85.39/44.49 | Instantiating formula (74) with xk, all_183_0_557, 0 and discharging atoms aNaturalNumber0(xk) = all_183_0_557, aNaturalNumber0(xk) = 0, yields:
% 85.39/44.49 | (1892) all_183_0_557 = 0
% 85.39/44.49 |
% 85.39/44.49 | Instantiating formula (74) with xp, all_183_1_558, 0 and discharging atoms aNaturalNumber0(xp) = all_183_1_558, aNaturalNumber0(xp) = 0, yields:
% 85.39/44.49 | (1893) all_183_1_558 = 0
% 85.39/44.49 |
% 85.39/44.49 +-Applying beta-rule and splitting (1891), into two cases.
% 85.39/44.49 |-Branch one:
% 85.39/44.49 | (1894) ~ (all_183_0_557 = 0)
% 85.39/44.49 |
% 85.39/44.49 | Equations (1892) can reduce 1894 to:
% 85.39/44.49 | (259) $false
% 85.39/44.49 |
% 85.39/44.49 |-The branch is then unsatisfiable
% 85.39/44.49 |-Branch two:
% 85.39/44.49 | (1892) all_183_0_557 = 0
% 85.39/44.49 | (1897) ~ (all_183_1_558 = 0)
% 85.39/44.49 |
% 85.39/44.49 | Equations (1893) can reduce 1897 to:
% 85.39/44.49 | (259) $false
% 85.39/44.49 |
% 85.39/44.49 |-The branch is then unsatisfiable
% 85.39/44.50 |-Branch two:
% 85.39/44.50 | (1899) doDivides0(xp, all_0_9_9) = all_63_0_106 & aNaturalNumber0(all_0_9_9) = all_63_1_107 & aNaturalNumber0(xp) = all_63_2_108 & ( ~ (all_63_0_106 = 0) | ~ (all_63_1_107 = 0) | ~ (all_63_2_108 = 0))
% 85.39/44.50 |
% 85.39/44.50 | Applying alpha-rule on (1899) yields:
% 85.39/44.50 | (1900) doDivides0(xp, all_0_9_9) = all_63_0_106
% 85.39/44.50 | (1901) aNaturalNumber0(all_0_9_9) = all_63_1_107
% 85.39/44.50 | (1902) aNaturalNumber0(xp) = all_63_2_108
% 85.39/44.50 | (1903) ~ (all_63_0_106 = 0) | ~ (all_63_1_107 = 0) | ~ (all_63_2_108 = 0)
% 85.39/44.50 |
% 85.39/44.50 | Instantiating formula (46) with xp, all_0_9_9, all_63_0_106, 0 and discharging atoms doDivides0(xp, all_0_9_9) = all_63_0_106, doDivides0(xp, all_0_9_9) = 0, yields:
% 85.39/44.50 | (1904) all_63_0_106 = 0
% 85.39/44.50 |
% 85.39/44.50 | Instantiating formula (74) with all_0_9_9, all_63_1_107, 0 and discharging atoms aNaturalNumber0(all_0_9_9) = all_63_1_107, aNaturalNumber0(all_0_9_9) = 0, yields:
% 85.39/44.50 | (1905) all_63_1_107 = 0
% 85.39/44.50 |
% 85.39/44.50 | Instantiating formula (74) with xp, all_63_2_108, 0 and discharging atoms aNaturalNumber0(xp) = all_63_2_108, aNaturalNumber0(xp) = 0, yields:
% 85.39/44.50 | (523) all_63_2_108 = 0
% 85.39/44.50 |
% 85.39/44.50 +-Applying beta-rule and splitting (1903), into two cases.
% 85.39/44.50 |-Branch one:
% 85.39/44.50 | (1907) ~ (all_63_0_106 = 0)
% 85.39/44.50 |
% 85.39/44.50 | Equations (1904) can reduce 1907 to:
% 85.39/44.50 | (259) $false
% 85.39/44.50 |
% 85.39/44.50 |-The branch is then unsatisfiable
% 85.39/44.50 |-Branch two:
% 85.39/44.50 | (1904) all_63_0_106 = 0
% 85.39/44.50 | (1910) ~ (all_63_1_107 = 0) | ~ (all_63_2_108 = 0)
% 85.39/44.50 |
% 85.39/44.50 +-Applying beta-rule and splitting (1910), into two cases.
% 85.39/44.50 |-Branch one:
% 85.39/44.50 | (1911) ~ (all_63_1_107 = 0)
% 85.39/44.50 |
% 85.39/44.50 | Equations (1905) can reduce 1911 to:
% 85.39/44.50 | (259) $false
% 85.39/44.50 |
% 85.39/44.50 |-The branch is then unsatisfiable
% 85.39/44.50 |-Branch two:
% 85.39/44.50 | (1905) all_63_1_107 = 0
% 85.39/44.50 | (1914) ~ (all_63_2_108 = 0)
% 85.39/44.50 |
% 85.39/44.50 | Equations (523) can reduce 1914 to:
% 85.39/44.50 | (259) $false
% 85.39/44.50 |
% 85.39/44.50 |-The branch is then unsatisfiable
% 85.39/44.50 |-Branch two:
% 85.39/44.50 | (1916) ~ (all_0_3_3 = all_0_9_9)
% 85.39/44.50 | (1917) ? [v0] : ? [v1] : ? [v2] : (doDivides0(xp, all_0_9_9) = v2 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 85.39/44.50 |
% 85.39/44.50 | Instantiating (1917) with all_159_0_559, all_159_1_560, all_159_2_561 yields:
% 85.39/44.50 | (1918) doDivides0(xp, all_0_9_9) = all_159_0_559 & aNaturalNumber0(all_0_9_9) = all_159_1_560 & aNaturalNumber0(xp) = all_159_2_561 & ( ~ (all_159_0_559 = 0) | ~ (all_159_1_560 = 0) | ~ (all_159_2_561 = 0))
% 85.39/44.50 |
% 85.39/44.50 | Applying alpha-rule on (1918) yields:
% 85.39/44.50 | (1919) doDivides0(xp, all_0_9_9) = all_159_0_559
% 85.39/44.50 | (1920) aNaturalNumber0(all_0_9_9) = all_159_1_560
% 85.39/44.50 | (1921) aNaturalNumber0(xp) = all_159_2_561
% 85.39/44.50 | (1922) ~ (all_159_0_559 = 0) | ~ (all_159_1_560 = 0) | ~ (all_159_2_561 = 0)
% 85.39/44.50 |
% 85.39/44.50 | Instantiating formula (46) with xp, all_0_9_9, all_159_0_559, 0 and discharging atoms doDivides0(xp, all_0_9_9) = all_159_0_559, doDivides0(xp, all_0_9_9) = 0, yields:
% 85.39/44.50 | (1923) all_159_0_559 = 0
% 85.39/44.50 |
% 85.39/44.50 | Instantiating formula (74) with all_0_9_9, all_159_1_560, 0 and discharging atoms aNaturalNumber0(all_0_9_9) = all_159_1_560, aNaturalNumber0(all_0_9_9) = 0, yields:
% 85.39/44.50 | (1924) all_159_1_560 = 0
% 85.39/44.50 |
% 85.39/44.50 | Instantiating formula (74) with xp, all_159_2_561, 0 and discharging atoms aNaturalNumber0(xp) = all_159_2_561, aNaturalNumber0(xp) = 0, yields:
% 85.39/44.50 | (1925) all_159_2_561 = 0
% 85.39/44.50 |
% 85.39/44.50 +-Applying beta-rule and splitting (1922), into two cases.
% 85.39/44.50 |-Branch one:
% 85.39/44.50 | (1926) ~ (all_159_0_559 = 0)
% 85.39/44.50 |
% 85.39/44.50 | Equations (1923) can reduce 1926 to:
% 85.39/44.50 | (259) $false
% 85.39/44.50 |
% 85.39/44.50 |-The branch is then unsatisfiable
% 85.39/44.50 |-Branch two:
% 85.39/44.50 | (1923) all_159_0_559 = 0
% 85.39/44.50 | (1929) ~ (all_159_1_560 = 0) | ~ (all_159_2_561 = 0)
% 85.39/44.50 |
% 85.39/44.50 +-Applying beta-rule and splitting (1929), into two cases.
% 85.39/44.50 |-Branch one:
% 85.39/44.50 | (1930) ~ (all_159_1_560 = 0)
% 85.39/44.50 |
% 85.39/44.50 | Equations (1924) can reduce 1930 to:
% 85.39/44.50 | (259) $false
% 85.39/44.50 |
% 85.39/44.50 |-The branch is then unsatisfiable
% 85.39/44.50 |-Branch two:
% 85.39/44.50 | (1924) all_159_1_560 = 0
% 85.39/44.50 | (1933) ~ (all_159_2_561 = 0)
% 85.39/44.50 |
% 85.39/44.50 | Equations (1925) can reduce 1933 to:
% 85.39/44.50 | (259) $false
% 85.39/44.50 |
% 85.39/44.50 |-The branch is then unsatisfiable
% 85.39/44.50 |-Branch two:
% 85.39/44.50 | (1935) aNaturalNumber0(all_0_9_9) = all_28_1_45 & aNaturalNumber0(xp) = all_28_2_46 & ( ~ (all_28_1_45 = 0) | ~ (all_28_2_46 = 0))
% 85.39/44.50 |
% 85.39/44.50 | Applying alpha-rule on (1935) yields:
% 85.39/44.50 | (1936) aNaturalNumber0(all_0_9_9) = all_28_1_45
% 85.39/44.50 | (1937) aNaturalNumber0(xp) = all_28_2_46
% 85.39/44.50 | (1938) ~ (all_28_1_45 = 0) | ~ (all_28_2_46 = 0)
% 85.39/44.50 |
% 85.39/44.50 | Instantiating formula (74) with all_0_9_9, all_28_1_45, 0 and discharging atoms aNaturalNumber0(all_0_9_9) = all_28_1_45, aNaturalNumber0(all_0_9_9) = 0, yields:
% 85.39/44.50 | (509) all_28_1_45 = 0
% 85.39/44.50 |
% 85.39/44.50 | Instantiating formula (74) with xp, all_28_2_46, 0 and discharging atoms aNaturalNumber0(xp) = all_28_2_46, aNaturalNumber0(xp) = 0, yields:
% 85.39/44.50 | (1940) all_28_2_46 = 0
% 85.39/44.50 |
% 85.39/44.50 +-Applying beta-rule and splitting (1938), into two cases.
% 85.39/44.50 |-Branch one:
% 85.39/44.50 | (1941) ~ (all_28_1_45 = 0)
% 85.39/44.50 |
% 85.39/44.50 | Equations (509) can reduce 1941 to:
% 85.39/44.50 | (259) $false
% 85.39/44.50 |
% 85.39/44.50 |-The branch is then unsatisfiable
% 85.39/44.50 |-Branch two:
% 85.39/44.50 | (509) all_28_1_45 = 0
% 85.39/44.50 | (1944) ~ (all_28_2_46 = 0)
% 85.39/44.50 |
% 85.39/44.50 | Equations (1940) can reduce 1944 to:
% 85.39/44.50 | (259) $false
% 85.39/44.50 |
% 85.39/44.50 |-The branch is then unsatisfiable
% 85.39/44.50 |-Branch two:
% 85.39/44.50 | (1946) aNaturalNumber0(xp) = all_58_1_104 & aNaturalNumber0(xm) = all_58_2_105 & ( ~ (all_58_1_104 = 0) | ~ (all_58_2_105 = 0))
% 85.39/44.50 |
% 85.39/44.50 | Applying alpha-rule on (1946) yields:
% 85.39/44.50 | (1947) aNaturalNumber0(xp) = all_58_1_104
% 85.83/44.50 | (1948) aNaturalNumber0(xm) = all_58_2_105
% 85.83/44.50 | (1949) ~ (all_58_1_104 = 0) | ~ (all_58_2_105 = 0)
% 85.83/44.50 |
% 85.83/44.50 | Instantiating formula (74) with xp, all_58_1_104, 0 and discharging atoms aNaturalNumber0(xp) = all_58_1_104, aNaturalNumber0(xp) = 0, yields:
% 85.83/44.50 | (500) all_58_1_104 = 0
% 85.83/44.50 |
% 85.83/44.50 | Instantiating formula (74) with xm, all_58_2_105, 0 and discharging atoms aNaturalNumber0(xm) = all_58_2_105, aNaturalNumber0(xm) = 0, yields:
% 85.83/44.50 | (1951) all_58_2_105 = 0
% 85.83/44.50 |
% 85.83/44.50 +-Applying beta-rule and splitting (1949), into two cases.
% 85.83/44.50 |-Branch one:
% 85.83/44.50 | (1952) ~ (all_58_1_104 = 0)
% 85.83/44.50 |
% 85.83/44.50 | Equations (500) can reduce 1952 to:
% 85.83/44.50 | (259) $false
% 85.83/44.50 |
% 85.83/44.50 |-The branch is then unsatisfiable
% 85.83/44.50 |-Branch two:
% 85.83/44.50 | (500) all_58_1_104 = 0
% 85.83/44.50 | (1955) ~ (all_58_2_105 = 0)
% 85.83/44.50 |
% 85.83/44.50 | Equations (1951) can reduce 1955 to:
% 85.83/44.50 | (259) $false
% 85.83/44.50 |
% 85.83/44.50 |-The branch is then unsatisfiable
% 85.83/44.50 |-Branch two:
% 85.83/44.50 | (1957) aNaturalNumber0(all_0_9_9) = all_38_1_65 & aNaturalNumber0(xr) = all_38_2_66 & ( ~ (all_38_1_65 = 0) | ~ (all_38_2_66 = 0))
% 85.83/44.50 |
% 85.83/44.50 | Applying alpha-rule on (1957) yields:
% 85.83/44.50 | (1958) aNaturalNumber0(all_0_9_9) = all_38_1_65
% 85.83/44.50 | (1959) aNaturalNumber0(xr) = all_38_2_66
% 85.83/44.50 | (1960) ~ (all_38_1_65 = 0) | ~ (all_38_2_66 = 0)
% 85.83/44.50 |
% 85.83/44.50 | Instantiating formula (74) with all_0_9_9, all_38_1_65, 0 and discharging atoms aNaturalNumber0(all_0_9_9) = all_38_1_65, aNaturalNumber0(all_0_9_9) = 0, yields:
% 85.83/44.50 | (495) all_38_1_65 = 0
% 85.83/44.50 |
% 85.83/44.50 | Instantiating formula (74) with xr, all_38_2_66, 0 and discharging atoms aNaturalNumber0(xr) = all_38_2_66, aNaturalNumber0(xr) = 0, yields:
% 85.83/44.50 | (1962) all_38_2_66 = 0
% 85.83/44.50 |
% 85.83/44.50 +-Applying beta-rule and splitting (1960), into two cases.
% 85.83/44.50 |-Branch one:
% 85.83/44.50 | (1963) ~ (all_38_1_65 = 0)
% 85.83/44.50 |
% 85.83/44.50 | Equations (495) can reduce 1963 to:
% 85.83/44.50 | (259) $false
% 85.83/44.50 |
% 85.83/44.50 |-The branch is then unsatisfiable
% 85.83/44.50 |-Branch two:
% 85.83/44.50 | (495) all_38_1_65 = 0
% 85.83/44.50 | (1966) ~ (all_38_2_66 = 0)
% 85.83/44.50 |
% 85.83/44.50 | Equations (1962) can reduce 1966 to:
% 85.83/44.50 | (259) $false
% 85.83/44.50 |
% 85.83/44.50 |-The branch is then unsatisfiable
% 85.83/44.50 |-Branch two:
% 85.83/44.50 | (1968) aNaturalNumber0(xp) = all_55_1_98 & aNaturalNumber0(xn) = all_55_2_99 & ( ~ (all_55_1_98 = 0) | ~ (all_55_2_99 = 0))
% 85.83/44.50 |
% 85.83/44.50 | Applying alpha-rule on (1968) yields:
% 85.83/44.50 | (1969) aNaturalNumber0(xp) = all_55_1_98
% 85.83/44.50 | (1970) aNaturalNumber0(xn) = all_55_2_99
% 85.83/44.50 | (1971) ~ (all_55_1_98 = 0) | ~ (all_55_2_99 = 0)
% 85.83/44.50 |
% 85.83/44.50 | Instantiating formula (74) with xp, all_55_1_98, 0 and discharging atoms aNaturalNumber0(xp) = all_55_1_98, aNaturalNumber0(xp) = 0, yields:
% 85.83/44.51 | (458) all_55_1_98 = 0
% 85.83/44.51 |
% 85.83/44.51 | Instantiating formula (74) with xn, all_55_2_99, 0 and discharging atoms aNaturalNumber0(xn) = all_55_2_99, aNaturalNumber0(xn) = 0, yields:
% 85.83/44.51 | (1973) all_55_2_99 = 0
% 85.83/44.51 |
% 85.83/44.51 +-Applying beta-rule and splitting (1971), into two cases.
% 85.83/44.51 |-Branch one:
% 85.83/44.51 | (1974) ~ (all_55_1_98 = 0)
% 85.83/44.51 |
% 85.83/44.51 | Equations (458) can reduce 1974 to:
% 85.83/44.51 | (259) $false
% 85.83/44.51 |
% 85.83/44.51 |-The branch is then unsatisfiable
% 85.83/44.51 |-Branch two:
% 85.83/44.51 | (458) all_55_1_98 = 0
% 85.83/44.51 | (1977) ~ (all_55_2_99 = 0)
% 85.83/44.51 |
% 85.83/44.51 | Equations (1973) can reduce 1977 to:
% 85.83/44.51 | (259) $false
% 85.83/44.51 |
% 85.83/44.51 |-The branch is then unsatisfiable
% 85.83/44.51 |-Branch two:
% 85.83/44.51 | (1979) aNaturalNumber0(xr) = all_29_2_49 & aNaturalNumber0(xn) = all_29_1_48 & ( ~ (all_29_1_48 = 0) | ~ (all_29_2_49 = 0))
% 85.83/44.51 |
% 85.83/44.51 | Applying alpha-rule on (1979) yields:
% 85.83/44.51 | (1980) aNaturalNumber0(xr) = all_29_2_49
% 85.83/44.51 | (1981) aNaturalNumber0(xn) = all_29_1_48
% 85.83/44.51 | (1982) ~ (all_29_1_48 = 0) | ~ (all_29_2_49 = 0)
% 85.83/44.51 |
% 85.83/44.51 | Instantiating formula (74) with xr, all_29_2_49, 0 and discharging atoms aNaturalNumber0(xr) = all_29_2_49, aNaturalNumber0(xr) = 0, yields:
% 85.83/44.51 | (1983) all_29_2_49 = 0
% 85.83/44.51 |
% 85.83/44.51 | Instantiating formula (74) with xn, all_29_1_48, 0 and discharging atoms aNaturalNumber0(xn) = all_29_1_48, aNaturalNumber0(xn) = 0, yields:
% 85.83/44.51 | (448) all_29_1_48 = 0
% 85.83/44.51 |
% 85.83/44.51 +-Applying beta-rule and splitting (1982), into two cases.
% 85.83/44.51 |-Branch one:
% 85.83/44.51 | (1985) ~ (all_29_1_48 = 0)
% 85.83/44.51 |
% 85.83/44.51 | Equations (448) can reduce 1985 to:
% 85.83/44.51 | (259) $false
% 85.83/44.51 |
% 85.83/44.51 |-The branch is then unsatisfiable
% 85.83/44.51 |-Branch two:
% 85.83/44.51 | (448) all_29_1_48 = 0
% 85.83/44.51 | (1988) ~ (all_29_2_49 = 0)
% 85.83/44.51 |
% 85.83/44.51 | Equations (1983) can reduce 1988 to:
% 85.83/44.51 | (259) $false
% 85.83/44.51 |
% 85.83/44.51 |-The branch is then unsatisfiable
% 85.83/44.51 % SZS output end Proof for theBenchmark
% 85.83/44.51
% 85.83/44.51 43921ms
%------------------------------------------------------------------------------